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Hej. Idag ska ni göra färdigt eran kod och lämna in det bästa ni har till Magnus. Kopiera adressen till er fungerande kod och skicka ett meddelande till mig i teams, där du talar om vad koden gör och om du lagt till något själv.

När du lämnat in så arbetar du med övningarna på padleten.

När du programmerat klart så ska du göra minst ett av arbetsbladen på papper som jag kopierat. Rätta själv, skriv namn och lämna in så jag ser att det blivit gjort/Magnus

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https://www.timestables.com/5-times-table.html

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Avrunda till tre gällande siffror

https://www.transum.org/software/SW/Starter_of_the_day/Students/Rounding.asp?Level=6

Avrunda till rätt storleksordning

https://www.transum.org/software/SW/Starter_of_the_day/Students/RoundingWN.asp?Level=7

Spel om prefix

https://www.purposegames.com/game/630#

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Practise your approximation and rounding skills with this online, self-marking exercise.

This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.

Description of Levels

Close

Level 1 - Rounding numbers to the nearest whole number

Level 2 - Rounding numbers to one decimal place

Level 3 - Rounding numbers to two decimal places

Level 4 - Rounding numbers to one significant figure

Level 5 - Rounding numbers to two significant figures

Level 6 - Rounding numbers to three significant figures

Level 7 - Rounding numbers to the nearest ten, hundred etc

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

# data[].attributes.attachment_link.description
Practise your approximation and rounding skills with this online, self-marking exercise. This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.

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An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

Complete this table with the missing fractions, decimals and percentages.

Example

Slide Presentation - here you can see the slides used in the video plus more examples.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Close

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An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

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Create factor trees to find the prime factors of the given numbers.

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Facit till arbetsbladen. bläddra till rätt blad

https://www.matematikxyz.com/larare/ewExternalFiles/Y%20AB%2001-83%20Facit%20v-4.pdf

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Gå tilll "alla exempel i boken"och kopiera källkoden, utom första och sista raden

https://spelprogrammering.nu

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Fler exempel

https://spelprogrammering.nu/r2/index

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Hej.

Idag repeterar vi och provar lite olika saker. Välj en av övningarna nedan och jobba

Repetera

Övapå koordinatsystem. Rita olika figurer med hjälp av Circle, triangle rektangel osv Allt du behöver finns i film 1

Prata

Kombinera ihop flera frågor till en fjantig konversation

Allt du behöver finns i film 4

Ritprogram

Aanvänd ”keyboard.r”,  "keyboard.g" osv if för att byta färg, mouse.x mouse.y för att röra musen och två knappar (”keyboard”)  för att byta storlek på cirkeln). Allt du behöver finns i film 1,2,3 och 4

Spela

Gå till film 5 och genomför övningarna

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Hej. Här är länken till 5:e filmen. gå till slutet så hittar ni koden.

https://www.youtube.com/watch?v=W4jzW1165Sc&list=PLacLTA7npkEaxlsKIL06aLqtLVKIKurRN&index=5

www.koda.nu/labbet

Finns det möjlighet att visa filmen på "tavlan" så gör ni det tillsammans, annars ser ni på egen hand med hörlurar eller textat.

Om ni kör fast så gå tillbaka till video 1, 2 eller 3 och repetera övningarna där. Öva på koordinatsystem och variabler, tills ni förstår systemet

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Spelprogrammering Video 4 - Interaktivitet

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Repetera räknesätten

https://www.transum.org/software/sw/starter_of_the_day/students/Fractions.asp?Level=1

mer bråkräkning

https://www.fractionsweb.com

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A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

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Calculate the probability of independent and dependent combined events using tree diagrams.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=601

Description of Levels

Close

Level 1 - Basic probability questions for which the tree diagram has already been drawn

Level 2 - More probability questions requiring you to draw your own tree diagrams

Level 3 - A challenging puzzle that can be solved with the aid of a tree diagram

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Tree Diagrams

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Calculate the probability of independent and dependent combined events using tree diagrams.

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DRA KORT

https://losing.games/tools/card-draw/#seed=eeprsw&mode=standard

Hi Low

https://www.transum.org/software/online_exercise/probability/playyourcardsright/

KORTLEK- dela ut

https://deck.of.cards

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This game is about predicting whether the next playing card to be turned over will have a higher or lower value than the previous card.

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Jag kan inte skriva ut 1800 arbetsblad, men det finns jättemånga bra repetitionsfrågor här om du bläddrar ner till kapitel 4

https://www.matematikxyz.com/larare/Arbetsblad.html

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Här hittar du alla arbetsblad som hör till serien och motsvarande uppgifter i Socrative. Klicka på kapitelrubriken för att ladda ner alla arbetsblad i ett kapitel. Om du vill ha alla arbestblad i en och samma PDF-fil klickar du på filen under "Övrigt" längst ned.

Längst till höger hittar du länkar till alla arbetsblad som Socrativetest, med självrättning.

Hör gärna av dig om du har frågor.

/Författarna

info@matematikxyz.com

Matematikboken ges ut av Liber AB. Beställningar kan du göra på www.liber.se eller genom kundservice samt via 08-690 93 30. På Libers hemsida kan du även läsa mer om serien, beställa provex, bläddra i smakprov etc. kundservice.liber@liber.se

Om du vill komma i kontakt med oss författare kan du mejla oss på info@matematikxyz.com . Om du har frågor om hemsidan går det även bra att ringa Conny Welén på 070-512 82 81.

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Skitsvårt om man går i 8:an förstås. Men vad känner du igen

https://www.studera.nu/hogskoleprov/fpn/provfragor-och-facit-varen-2025/

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Provfrågor och facit hösten 2024 - 20 oktober

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Här hittar du frågor och facit till högskoleprovet som skrevs den 5 april 2025.

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Hej

Idag ska ni jobba med 4:8 problemlösning med ekvationer i matteboken

Viktigt att alla uppgifter löses med EKVATION och att ni skriver och löser ekvationen. Det går att lösa på annat sätt ibland, men det är METODEN ni ska öva på.

Efet 30 min arbete i boken kan ni göra övningar på padleten under "övningar kapitel 4"

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Denna vecka går vi vidare till "ekvationer" 4:6 och 4:7. Du kan pausa "uttryck 4:3-4:5" och gå tillbaka till de uppgifter du inte hann senare. Man måste inte vara färdig med det för att kolla på ekvationer. Det är nyttigt att hoppa lite fram och tillbaka (=repetition :-) )

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Prova de olika nivåerna, eller gör avslutande

"Game"

https://phet.colorado.edu/sims/html/area-model-algebra/latest/area-model-algebra_en.html

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Övapå att byta bokstäver mot siffror!

https://www.transum.org/software/SW/Starter_of_the_day/Students/Substitution.asp?Level=1

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Substitute the given numerical values into the algebraic expressions in this multi-level, self-marking quiz.

This is level 1: Here are some mathematical expressions. Can you evaluate them if:

© Transum Mathematics 1997-2021
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=136

Description of Levels

Close

Level 1 - Simple addition and subtraction - positive integers

Level 2 - Addition, subtraction and multiplication - positive integers

Level 3 - Indices - positive integers

Level 4 - Brackets - positive integers

Level 5 - Mixed expressions - positive integers

Level 6 - Mixed expressions - negative integers

Level 7 - Mixed expressions - positive and negative decimals

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Examples

You may also want to use a calculator to check your working. See Calculator Workout skill 13.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

# data[].attributes.attachment_link.description
Substitute the given numerical values into the algebraic expressions in this multi-level, self-marking quiz. This is level 1: Here are some mathematical expressions. Can you evaluate them if: © Transum Mathematics 1997-2021 Scan the QR code below to visit the online version of this activity.

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Practise solving simple linear equations with this multi-level online exercise.

This is level 1: simple equations where the solution can be found by performing one operation on both sides of the equation. You will be awarded a trophy if you get at least 9 correct and you do this activity online.

© Transum Mathematics 1997-2025
Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=170

Description of Levels

Close

Level 1 - Simple equations where the solution can be found by performing one operation on both sides of the equation.

Example: \(8n = 64\)

Level 2 - Simple equations where the solution can be found in two steps.

Example: \(9e + 6 = 78\)

Level 3 - Equations where a multiple of the unknown and a constant are on both sides.

Example: \(4y - 7 = 3y - 4\)

Level 4 - Equations including brackets.

Example: \(2(4r + 7) - 9 = 21\)

Level 5 - More complex equations requiring multiple steps to find the solution.

Example: \(6(10h + 3) + 4 = 7h + 287\)

Solve to find Fractions - A four-level set of exercises in which all of the equations have solutions that are fractions.

Example: \( 5x+2=2x+4\)

Equations with Fractions - A five-level set of exercises taking your equation solving skills one step further.

Example: \( \frac{6x-4}{2}=13 \)

Old Equations - Solve these linear equations that appeared in a book called A Graduated Series of Exercises in Elementary Algebra by Rev George Farncomb Wright published in 1857.

Nevertheless - A two-player, equation-making game based on Level 2 type equations.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Video

Example

Here is an example showing a good way to solve an equation of this type (Level 1) by thinking of the two sides of the equation as two sides of a balance. The equation will remain balanced only if you do the same thing (multiply, divide add or subtract) to both sides.

3x = 12
Divide both sides by 3
x = 4

By doing the same thing to both sides of the equation you can find what one x is equal to.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

# data[].attributes.attachment_link.description
Practise solving simple linear equations with this multi-level online exercise.

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Simplify the expressions using the normal conventions of algebra.

Can you write the following expressions in their simplest forms? Use the buttons provided to insert the squared and cubed symbols if required.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=368

Description of Levels

Close

Collecting Like Terms - This is where you would start. It is important to know which terms are 'like' and can be combined into one term.

Level 1 - Simplify simple expressions by writing them in a more compact form

Level 2 - Simplify some slightly more difficult expressions

Factorising - The next step is to understand how expressions can be simplified by factorising them.

More on this topic including many more exercises, lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Video

The video above is from MathsWatch

Example

In algebra it is common to use:

ab in place of a × b

3a in place of a + a + a and 3 × a

a² in place of a × a

a³ in place of a × a × a

a²b in place of a × a × b

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Simplify the expressions using the normal conventions of algebra.

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Use knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles.

Check

© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Angle/Chase.asp?

Description of Levels

Close

Level 1 - 31 angles to be found in a diagram with one set of parallel lines

Level 2 - 42 angles to be found in a diagram with three sets of parallel lines

Level 3 - 69 angles to be found in a fiendishly complex diagram

Level 4 - Impossible unless you know the circle angle theorems

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Angle Theorems

Click on a picture above for a large version, theorem description and interactive model.

If you are on level 4 you will also need the Circle Theorems.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

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Use knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles. Check © Transum Mathematics :: This activity can be found online at:www.transum.org/Maths/Activity/Angle/Chase.asp?

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Converting measurements of length, area, volume, mass and time from one unit to another.

This is level 1; Length. You can earn a trophy if you get at least 9 correct and you do this activity online.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=520

Common Units

Length

Unit

Relationship

kilometre (km)

1 km = 1000 m

metre (m)

centimetre (cm)

100 cm = 1 m

millimetre (mm)

1000 mm = 1 m

Examples

To convert kilometres to metres multiply by 1000

To convert metres to centimetres multiply by 100

To convert centimetres to millimetres multiply by 10

To convert millimetres to centimetres divide by 10

To convert centimetres to metres divide by 100

To convert metres to kilometres divide by 1000

To convert kilometres to millimetres:

multiply by 1000 to convert the kilometres to metres

multiply by 100 to convert the metres to centimetres

multiply by 10 to convert the centimetres to millimetres

.. or multiply the number of kilometres by one million which is the previous multiplication factors multiplied together.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Converting measurements of length, area, volume, mass and time from one unit to another.

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Jobba med boken. Den här veckan så måste vi arbeta med Volym från 3:4 och framåt

Mot slutet av lektionen kan du göra ”omvandla enheter”

Längd area volym under övningar kapitel 3

Gör bara nivå 1-2 sen blir det onödigt krångligt

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Vi arbetar med geometri. 3:1 och 3:2 area, omkrets och cirkelns area. Det är mycket begrepp i geometri.

Se gärna xyz filmerna och läs faktarutorna i boken. det handlar inte bara om att lösa uppgifter

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Idag ska ni arbeta vidare i matteboken med CIRKELNS AREA!!!

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Use knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles.

Check

© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Angle/Chase.asp?

Description of Levels

Close

Level 1 - 31 angles to be found in a diagram with one set of parallel lines

Level 2 - 42 angles to be found in a diagram with three sets of parallel lines

Level 3 - 69 angles to be found in a fiendishly complex diagram

Level 4 - Impossible unless you know the circle angle theorems

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Angle Theorems

Click on a picture above for a large version, theorem description and interactive model.

If you are on level 4 you will also need the Circle Theorems.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

# data[].attributes.attachment_link.description
Use knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles. Check © Transum Mathematics :: This activity can be found online at:www.transum.org/Maths/Activity/Angle/Chase.asp?

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https://upload.wikimedia.org/wikipedia/commons/2/2a/Pi-unrolled-720.gif

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Denna vecka börjar vi med kapitel 3 geometri. Första veckan är introduktion till cirklar och volymkroppar. Inte så mycket arbete i boken denna vecka

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Denna vecka räknar vi klart kap 2 och repeterar. Gör gärna "BLANDADE UPPGIFTER, och gå sedan tillbaka från början av kapitlet, och gör några uppgifter på varje sida.

Det finns några övningsexempel på paletten om du bläddrar till höger

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Avrunda till tre gällande siffror

https://www.transum.org/software/SW/Starter_of_the_day/Students/Rounding.asp?Level=6

Avrunda till rätt storleksordning

https://www.transum.org/software/SW/Starter_of_the_day/Students/RoundingWN.asp?Level=7

Spel om prefix

https://www.purposegames.com/game/630#

# data[].attributes.attachment_link.readable_text
Practise your approximation and rounding skills with this online, self-marking exercise.

This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.

Description of Levels

Close

Level 1 - Rounding numbers to the nearest whole number

Level 2 - Rounding numbers to one decimal place

Level 3 - Rounding numbers to two decimal places

Level 4 - Rounding numbers to one significant figure

Level 5 - Rounding numbers to two significant figures

Level 6 - Rounding numbers to three significant figures

Level 7 - Rounding numbers to the nearest ten, hundred etc

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

# data[].attributes.attachment_link.description
Practise your approximation and rounding skills with this online, self-marking exercise. This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.

# data[].attributes.attachment_link.description
Show that you can calculate simple percentages in your head by trying this self-marking quiz.Everyone can develop their ability to mentally calculate 50%, 25%, 10%, 75% and 33⅓% of everyday numbers.

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Man ska nästan aldrig addera procent för det är nästan aldrig rätt räknesätt. Men ibland...

https://www.transum.org/Maths/Activity/Fractions/Particular.asp?Level=1

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Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages

This is level 1: the lengths of the pipe pieces are decimals. Drag the pieces to the pipes.

© Transum Mathematics 1997-2025
Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=837

Description of Levels

Close

Level 1 - The lengths of the pipe pieces are decimals

Level 2 - The lengths of the pipe pieces are percentages

Level 3 - The lengths of the pipe pieces are fractions

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Hints

Drag the coloured pipe parts onto the dotted areas to the left of the taps.

If you want to clear the pipe parts you have positioned incorrectly simply click on the tap.

$$ 100\% = 1 $$ $$ 0.5 = 50\% = \frac12 $$ $$ 0.\bar3 = 33\frac13\% = \frac13 $$ $$ 0.25 = 25\% = \frac14 $$ $$ 0.2 = 20\% = \frac15 $$ $$ 0.1 = 10\% = \frac{1}{10} $$

You may also want to use a calculator to check your working. See Calculator Workout skill ##.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

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Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages

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Denna vecka ska ni göra MINST 2:3. Gärna mer. För sen är det prao. Repetera gärna hemma under PRAO veckorna så kommer nästa prov att gå mycket bättre

!

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Denna vecka ska vi räkna klart minst en "nivå" på kap 2:1 (andel) och 2:2 (förändring)

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Find the matching pairs of cards. A drag and drop self marking activity.

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An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

Complete this table with the missing fractions, decimals and percentages.

Example

Slide Presentation - here you can see the slides used in the video plus more examples.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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Curriculum Reference

Close

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An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

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XYZ Problemlösning Metod 1 - Rita en figur

XYZ Problemlösning Metod 2 - Gissa och pröva

XYZ Problemlösning Metod 3 - Steg för steg

XYZ Problemlösning Metod 4 - Tänka logiskt

XYZ Problemlösning Metod 5 - Rita ett diagram

XYZ Problemlösning Metod 6 - Hitta ett mönster

XYZ Problemlösning Metod 7 - Arbeta bakifrån

XYZ Problemlösning Metod 8 - Använda ekvationer

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XYZ Problemlösning Metod 1 - Rita en figur XYZ Problemlösning Metod 2 - Gissa och pröva XYZ Problemlösning Metod 3 - Steg för steg XYZ Problemlösning Metod 4 - Tänka logiskt XYZ Problemlösning Metod 5 - Rita ett diagram XYZ Problemlösning Metod 6 - Hitta ett mönster XYZ Problemlösning Metod 7 - Arbeta bakifrån XYZ Problemlösning Metod 8 - Använda ekvationer

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Welcome to the Snooker Angles Game

Each player has to estimate the angle (bearing) and force required to pot the ball. Enter the players' names below.

Number of players:

The first player to score 10 is the winner.

Congratulations

You can claim a trophy for winning this game.

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An online game for one or two players requiring an ability to estimate angles as bearings.

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Practise your approximation and rounding skills with this online, self-marking exercise.

This is level 1; Rounding numbers to the nearest whole number. You can earn a trophy if you get at least 9 correct.

Description of Levels

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Level 1 - Rounding numbers to the nearest whole number

Level 2 - Rounding numbers to one decimal place

Level 3 - Rounding numbers to two decimal places

Level 4 - Rounding numbers to one significant figure

Level 5 - Rounding numbers to two significant figures

Level 6 - Rounding numbers to three significant figures

Level 7 - Rounding numbers to the nearest ten, hundred etc

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Rounding Videos

Rounding to decimal places: A straight forward explanation from SLEP about how to round a number to a given number of decimal places.

Rounding to significant figures: Another video from SLEP but this one is about rounding to a given number of significant figures.

Significant figures: CGP Maths Tutor explain what 'significant figures' means, then talks you through some examples. A video tutorial.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Close

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Practise your approximation and rounding skills with this online, self-marking exercise. This is level 1; Rounding numbers to the nearest whole number. You can earn a trophy if you get at least 9 correct.

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Estimate the percentages, to the nearest five percent, of the indicated sectors.

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Öva negativa tal med huvudräkning. Välj nivå 1-5
https://www.transum.org/software/SW/Starter_of_the_day/Students/Negative_Numbers.asp?Level=1

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Use negative numbers in basic arithmetic and algebraic calculations.

This is level 1: simple subtraction You can earn a trophy if you get at least 9 correct and you do this activity online.

© Transum Mathematics 1997-2025
Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=62

Description of Levels

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Level 1 - Simple subtraction

Example: 5 - 12

Level 2 - Adding to a negative number

Example: -7 + 9

Level 3 - Addition and Subtraction

Example: -10 + -2

Level 4 - Multiplication

Example: -3 x 2

Level 5 - Division

Example: -10 ÷ 5

Level 6 - Substitution

Example: If a=-3 and b=-7 evaluate 7a - 8b - 6

Level 7 - Mixed

Example: A mixed set of word problems

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Help Video

Adding and Subtracting Negative Numbers

As shown in the video, a number line is a really useful resource to help calculating sums and differences. Click on the image below for an interactive number line:

Multiplying and Dividing Negative Numbers

When multiplying or dividing negative numbers remember this:

Same Signs \( \rightarrow \) Positive Answer

Different Signs \( \rightarrow \) Negative Answer

Example 1: Same signs (a positive multiplied by a positive) gives a positive answer:

\( 12 \times 6 = 72 \)

Example 2: Different signs (a positive multiplied by a negative) gives a negative answer:

\( 12 \times (-6) = -72 \)

Example 3: Different signs (a negative divided by a positive) gives a negative answer:

\( (-12) \div 6 = -2 \)

Example 4: Same signs (a negative divided by a negative) gives a positive answer:

\( (-12) \div (-6) = 2 \)

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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Use negative numbers in basic arithmetic and algebraic calculations.

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https://www.timestables.com/5-times-table.html

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Denna vecka räknar du klart restren av kapitel 1. Är du klar så gå till blandade uppgifter

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Create factor trees to find the prime factors of the given numbers.

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Övningar på allt inom bråkräkning. Repetera repetera repetera :-)

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SI prefixes quiz for 9th grade students. Find other quizzes for and more on Quizizz for free!

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Gör level 1 och 2, med huvudräkning. https://www.transum.org/Maths/Activity/Decimals/Default.asp?Level=1

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Practise mental and written methods for multiplying and dividing decimal numbers.

This is level 1; Multiply one-digit numbers with up to two decimal places by whole numbers. You can earn a trophy if you get at least 9 correct and you do this activity online.

© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Decimals/Default.asp?

Description of Levels

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Level 1 - Multiply one-digit numbers with up to two decimal places by whole numbers

Level 2 - Multiply one and two-digit decimal numbers

Level 3 - Multiply three-digit decimal numbers

Level 4 - Divide a decimal number by an integer

Level 5 - Divide a decimal number by a one digit decimal

Level 6 - Divide a decimal number by another decimal number

Level 7 - Mixed questions

More Decimals including lesson Starters, visual aids, investigations and self-marking exercises.

There is also an exercise on addition and subtraction of decimals called Decimal Plus.

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Multiplying and Dividing Decimals

A straight forward, no nonsense demonstration of the methods of multiplying and dividing decimals.

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Close

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Practise mental and written methods for multiplying and dividing decimal numbers. This is level 1; Multiply one-digit numbers with up to two decimal places by whole numbers. You can earn a trophy if you get at least 9 correct and you do this activity online.

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https://www.transum.org/Maths/Activity/Numbasics/

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There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

© Transum Mathematics 1997-2022
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=825

Description of Levels

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Level 1 - Inspired by the number and operations curriculum statements for Year 5

Level 2 - Inspired by the number and operations curriculum statements for Year 6

Level 3 - Entry Level lower Secondary school standard

Level 4 - Intermediate lower Secondary school standard

Level 5 - Intermediate lower Secondary school standard

Level 6 - Intermediate lower Secondary school standard

Level 7 - Confident lower Secondary school standard

Level 8 - Confident lower Secondary school standard

Level 9 - Confident middle Secondary school standard

Level 10 - Confident upper Secondary school standard

The questions at each level change each time the page is loaded, refeshed or one of the level tabs is clicked.

More Arithmetic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

Performance Report

You completed the grid in .

This is the place you will receive feedback about your preformance. You will be able to see which questions you got wrong and how long it took you to complete the exercise.

Close

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There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

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För att repetera grunderna och se till att du fattat rätt - kolla på filmerna som jag lagt upp.

Det är min gamla mattelärarkompis Adam som pratar. Dom är rätt tydliga :-)

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https://www.transum.org/Maths/Activity/Numbasics/

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There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

© Transum Mathematics 1997-2022
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=825

Description of Levels

Close

Level 1 - Inspired by the number and operations curriculum statements for Year 5

Level 2 - Inspired by the number and operations curriculum statements for Year 6

Level 3 - Entry Level lower Secondary school standard

Level 4 - Intermediate lower Secondary school standard

Level 5 - Intermediate lower Secondary school standard

Level 6 - Intermediate lower Secondary school standard

Level 7 - Confident lower Secondary school standard

Level 8 - Confident lower Secondary school standard

Level 9 - Confident middle Secondary school standard

Level 10 - Confident upper Secondary school standard

The questions at each level change each time the page is loaded, refeshed or one of the level tabs is clicked.

More Arithmetic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

Performance Report

You completed the grid in .

This is the place you will receive feedback about your preformance. You will be able to see which questions you got wrong and how long it took you to complete the exercise.

Close

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There is a printable record sheet to go with this activity. Record progress as an ever growing bar chart as you progress through the levels. You might want to enlarge it to A3 size on a photocopier if your eyesight is anything like mine!

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Filmer om räknesätten med bråk

Addition och subtraktion

https://www.youtube.com/watch?v=A0BXgOKK_CA&t=33s

Multiplikation

https://www.youtube.com/watch?v=UJGJ0OP-Oq0

https://youtu.be/7jIgUUdmdOs?si=-NsaCmbvAi6EQ49q

https://app.binogi.se/l/multiplikation-med-braak

Division

https://www.youtube.com/watch?v=pBPAJJGf1fE

https://www.youtube.com/watch?v=pXZBuRBGG8c

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Att dividera med bråk är inte lika krångligt som det ser ut. Men har du inte lärt dig att multiplicera med bråk ännu, så gör det först, för det kommer du behöva.

Exempel 1

Du har blandat till 3 liter saft och ska hälla upp den på glas med 1/4 liter i varje glas. Till hur många glas räcker saften? Med andra ord, hur många fjärdedelar går det på 3 hela?

Du ritar 3 kvadrater som representerar 3 liter saft (3 hela)

Sen delar du varje kvadrat i fyra delar (1/4)

Om du räknar på bilden ser du hur många fjärdedelar som går på 3 hela, nämligen 12.

Exempel 2

Till hur många glas räcker en halv liter saft? Med andra ord, hur många fjärdedelar går det på en halv?

På bilden ser du en hel uppdelad i fjärdedelar. Där kan vi se att det går två fjärdedelar på en halv.
En halv liter saft räcker till 2 glas.
Exempel 3

Det är inte alltid så lätt att se vad kvoten av två bråk blir. Här kommer ett sätt att dividera med bråk som alltid fungerar.

För att jämföra tar vi exempel 2 igen - hur många fjärdedelar går det på en halv?

Eftersom det kan vara klurigt att dividera med ett bråktal vill vi få bort bråket från nämnaren. Då förlänger vi bråket så att nämnaren blir 1.

För att bråket i nämnaren, alltså 1/4, ska bli ett förlänger vi bråket med fyra hela (4/1), såhär:

Och fyra fjärdedelar är samma sak som en hel.

För att inte hela bråket ska ändras måste täljaren (1/2), multipliceras med samma tal som nämnaren. Det vill säga, vi förlänger även täljaren med fyra hela (4/1).
Fyra halva är lika med två.
Om vi lägger ihop alltihop så ser vi tydligt att svaret är två hela (2/1)

Exempel 4

Att dividera ett tal med en fjärdedel (1/4), är alltså detsamma som att multiplicera talet med fyra, eller 4/1.

4/1 är det inverterade talet till 1/4. Ett inverterat bråk betyder att man byter plats på täljare och nämnare. Kom ihåg att alla heltal, till exempel 7, kan skrivas som bråket 7/1.

Inversen av sju, (7 = 7 / 1) är en sjundedel (1/7)

Med andra ord: att dividera med ett bråk är samma sak som att multiplicera med det inverterade talet. Anledningen till detta såg du i Exempel 3. För att få bort nämnaren så multiplicerade du både täljaren och nämnaren med inversen av täljaren.

I och med att nämnaren då blir ett så skriver vi inte ut den delen. Vi nöjer oss med att konstatera att division med ett bråk är samma sak som att multiplicera med inversen av just det bråket.

Vi testar den här regeln i ett annat exempel:

Istället för att dividera med 4/5 kan vi multiplicera med det inverterade talet. För att få fram det inverterade talet byter vi plats på täljare och nämnare.

Inversen av 4/5 blir då 5/4

Nu kan vi multiplicera:

Sammanfattning

Att dividera med ett bråk är samma sak som att multiplicera med det inverterade talet.

Du får det inverterade talet om du byter plats på täljaren och nämnaren.

När du multiplicerar ett tal med sitt inverterade värde är produkten alltid 1.

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Att dividera med bråk är inte lika krångligt som det ser ut. Men har du inte lärt dig att multiplicera med bråk ännu, så gör det först, för det kommer du behöva. Du har blandat till 3 liter saft och ska hälla upp den på glas med 1/4 liter i varje glas.

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Denna vecka börjar vi att repetera och göra klart det vi inte hunnit göra i "första vändan" gör 1:1-1:3 i boken (de uppgifter du inte gjort eller hoppat över. Om du är färdig med nivå ett så gör du nivå två osv) Näst vecka gör vi resten- men då är det utvecklingssamtal också

/Magnus

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Factors and Multiples printable worksheet - gameFactors and Multiples printable worksheet - puzzleOn this resources page there are printable 1-100 square grids.

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(onödigt många för åk 7 men å andra sidan kan man inte kunna för mycket)

https://www.purposegames.com/game/630

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Denna vecka ska du ha gjort uppgifter på 1:1-1:4. Du behöver inte ha gjort alla i ordning. Gå vidare så du hinner titta på alla delkapitel. När du kommit till 1:5 så kan du pausa och gå tillbaka och göra det du hoppade över.

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Potensform
https://www.transum.org/software/SW/Starter_of_the_day/Students/Indices.asp?Level=1

Grundpotensform
OBS BÖRJA MED NIVÅ 1 och nivå 4
https://www.transum.org/software/SW/Starter_of_the_day/Students/Standard_Form.asp?Level=1

STORLEKSORDNA tal i grundpotensform mm

https://www.transum.org/Maths/Activity/Standard_Form/Order.asp?Level=1

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There are more activities on the more general topic of Indices and some particularly useful links can be found below:

Similar

Standard Form

A self marking exercise on converting standard form numbers to ordinary numbers and vica-versa.

The short web address is:

Transum.org/go/?to=standardform

Suggested

Indices

A self marking exercise on indices (powers) including evaluating statements and solving equations.

The short web address is:

Transum.org/go/?to=powers

Fun

Indices Pairs

The traditional pairs or pelmanism game adapted to test knowledge of indices. Enjoy the game!

The short web address is:

Transum.org/go/?to=indices

The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one here.

A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.

Description of Levels

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Level 1 - Five numbers to sort, all with positive powers of 10

Level 2 - Ten numbers to sort, all with positive powers of 10

Level 3 - Ten numbers to sort, all with negative powers of 10

Level 4 - Ten mixed numbers to sort, all greater than 1

Level 5 - Ten mixed numbers to sort, all less than 1

Standard Form Exercise - A self marking exercise on converting standard form numbers to ordinary numbers and vica-versa

Standard Form Algebra - Deeply test your understanding of standard form by involving a little algebra.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Standard Form

Standard form, also known as scientific notation, is a way of conveniently writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

Examples

3.48 x 10 ⁴

= 3.48 x 10 x 10 x 10 x 10

= 3.48 x 10000

= 34800

3.48 x 10⁻²

3.48 x ¹⁄ ₁₀₀

= 3.48 ÷ 100

= 0.0348

Finally note that any number raised to the power zero is 1 so:

3.48 x 10 ⁰

= 3.48 x 1

= 3.48

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Ten statements are presented and they are to be put in order according to the probability of them happening.

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Denna vecka börjar vi arbeta i matteboken kapitel 1. Arbeta med BRÅKRÄKNING med fokus på DE FYRA RÄKNESÄTTEN

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Först visuellt sedan svårare

https://www.transum.org/Maths/Activity/Fractions/Pizzas.asp?Level=2

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Practise finding equivalent fractions numerically and in fraction diagrams.

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Compare pairs of fractions to identify the largest or smallest in order to move through the maze. Earn a trophy for finding the right door.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=863

Description of Levels

Close

Level 1 - Compare simple proper fractions with a half

Level 2 - Compare proper fractions where one denominator is a multiple of the other

Level 3 - Compare proper fractions with different denominators (one denominator is not a multiple of the other)

Level 4 - Compare fractions with large numerators and denominators by simplifying the fractions first.

Level 5 - Mixed questions

Fraction Lines - Sort a number of fractions (and decimals and percentages) in a line.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Help Video

You may also find a Fraction Wall useful.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Compare pairs of fractions to identify the largest or smallest in order to move through the maze. Earn a trophy for finding the right door.

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Arrange the fractions by dragging them on to the mystical snake in order with the largest near the head and the smallest at the tail.

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Hitta bilderna (gör nivå 1,2)
https://www.transum.org/Maths/Activity/Coordinates/Picture.asp?Level=1

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© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=887

Description of Levels

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Coordinates - Learn to read coordinates.

Coordinate Plotter - Learn to plot coordinates.

Level 1 - Nice with chips (30 points)

Level 2 - Strong and heavy (57 points)

Level 3 - Coordinates training (67 points)

Level 4 - Elvish elder (70 points)

Level 5 - Happy hopper (101 points)

Level 6 - Easter Bunny (40 points)

Christmas Picture - A bonus picture just for Christmas.

More on Coordinates including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Example

Some people have trouble remembering what the two numbers in a set of coordinates represent. The first number is the x-coordinate and tells you how many units you go across to the right (negative numbers move you to the left). The second number tells you how many to move up (negative numbers move you down).

The following saying helps you remember the order of the coordinates:

Along the corridor then up the stairs.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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© Transum Mathematics 1997-2023 Scan the QR code below to visit the online version of this activity. https://Transum.org/go/?Num=887 Close Coordinates - Learn to read coordinates. Coordinate Plotter - Learn to plot coordinates.

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Understand and use the relationship between parallel lines and alternate and corresponding angles.

This is level 1: alternate angles You can earn a trophy if you get at least 7 questions correct.

Description of Levels

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Level 1 - Alternate angles

Level 2 - Corresponding angles

Level 3 - Mixed questions

The mixed questions provide a recap of levels one and two and offer an opportunity for a little more problem solving rather than simply applying a rule.

Example:

Chase - A large diagram of interconnected lines challenges you to work out all of the angles.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

Information

Alternate angles

This diagram shows pairs of alternate angles which are equal

Corresponding angles

This diagram shows pairs of corresponding angles which are equal

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Close

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Understand and use the relationship between parallel lines and alternate and corresponding angles. This is level 1: alternate angles You can earn a trophy if you get at least 7 questions correct.

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Filmer om procenträkning- Andel Delen Hela (kapitel 4)

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Filmer om procenträkning- Andel Delen Hela (kapitel 4)

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Procentbegreppet

https://www.youtube.com/watch?v=ULGElFt9Riw&t=1s

ANDEL, DEL, HELA

https://www.youtube.com/watch?v=a0kVDk0IQZc&t=2s

https://youtu.be/Lfg5T2MhXqw

https://youtu.be/xq8sK3e7PNc

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Procent - hundradel (Årskurs 8, Procent) – Matteboken

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Vi repeterar vad procent är, olika sätt att skriva en andel och att känna igen hur många procent vissa bråktal motsvarar.

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Omvandla mellan bråk, procent, decimalform
OBSERVERA använd punkt i stället för decimalkomma på engelska

https://www.transum.org/Maths/Activity/FractionDecimalPercentage/Default.asp?Level=1

Pussla ihop olika

https://www.transum.org/Maths/Activity/Fractions/Particular.asp?Level=1

Repetera andelar av det hela i bråkform

https://www.transum.org/Maths/Activity/Fractions/Pizzas.asp?Level=2

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Find the matching pairs of cards. A drag and drop self marking activity.

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Gör level 1 och 2 med huvudräkning

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Practise mental and written methods for adding and subtracting decimal numbers.

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https://www.transum.org/software/SW/Starter_of_the_day/Students/SquareShoot/

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Calculate the squares of one-digit and two-digit numbers.

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Find square roots and cube roots by first calculating the prime factorisation of a number.

This is level 1: find square roots of numbers up to 52² You will be awarded a trophy if you get at least 7 correct and you do this activity online.

This is Square and Cube Roots level 1. You can also try:
Level 2 Level 3

© Transum Mathematics 1997-2025
Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=836

Description of Levels

Close

Factor Trees - Learn prime factorisation first.

Level 1 - Find square roots of numbers up to 52²

Level 2 - Find square roots of numbers up to 96²

Level 3 - Find cube roots of the given numbers

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

Example

Find the square root of 576

Begin by finding the prime factorisation of 576 either by using a Factor Tree or the following method:

$$\require{enclose} 2 )\enclose{bottom}{576} \\ 2 )\enclose{bottom}{288} \\ 2 )\enclose{bottom}{144} \\ 2 )\enclose{bottom}{72} \\ 2 )\enclose{bottom}{36} \\ 2 )\enclose{bottom}{18} \\ 3 )\enclose{bottom}{9} \\ 3 $$

576 = 2 ⁶ × 3 ²

This can be written as:

576 = ( 2 ³ × 3) × ( 2 ³ × 3)

So the square root of 576 is 2 ³ × 3 = 24

You may also want to use a calculator to check your working. See Calculator Workout skill 5.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

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Find square roots and cube roots by first calculating the prime factorisation of a number.

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Plocka primtal

https://www.transum.org/Maths/Game/Primes/Pick.asp

Addera tre primtal

https://www.transum.org/Maths/Exercise/Prime/

Primtalspussel-labyrint

https://www.transum.org/Software/Puzzles/Prime_Labyrinth.asp

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Addition och subtraktion (Adam J)

https://youtu.be/fwItOF8Pc20

https://youtu.be/fhU-TheaKfU

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This game is about predicting whether the next playing card to be turned over will have a higher or lower value than the previous card.

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Koordinatsystem och lutande linjer (kapitel 4)

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Koordinatsystem och lutande linjer (kapitel 4)

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Binogi-filmer
https://app.binogi.se/l/punktens-koordinater
https://app.binogi.se/l/proportionell-foeraendring
https://app.binogi.se/l/linjens-lutning
https://app.binogi.se/l/konstanten-m
https://app.binogi.se/l/raeta-linjens-graf

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När du tittar på kartan till höger ser du Marias hus och hennes kompis Mikaels hus. Husen är markerade på olika platser på kartan.

För att hitta från Marias hus till Mikaels går du först åt höger och sedan uppåt på kartan. Mikaels hus ligger två steg till höger och tre steg upp från Marias.

Koordinatsystem

Lägger vi till tal på de här linjerna så får vi två tallinjer. En horisontell och en vertikal. Vi ger de här tallinjerna namn, x och y. Den horisontella är x och den vertikala är y. Vi kallar dem x-axeln och y-axeln.

Marias hus ligger där axlarna korsas. Det här stället heter origo. Vid origo har både x och y värdet noll.

Mikaels hus ligger där x = 2 och y = 3. Vi beskriver en position på kartan genom att ange dess koordinater. Själva kartan blir då ett koordinatsystem.

En punkts koordinater talar om hur långt utmed x-axeln och hur högt upp på y-axeln punkten befinner sig. Vi skriver ut punkens koordinater så här: Först bokstav och sen två siffror inom parentes. Den första är x-koordinaten och den andra är y-koordinaten.

Om vi kallar den plats där Maria har sitt hus för M ₀, då blir x och y-koordinaterna för den punkten noll och noll. Vi skriver det: M ₀(0,0).

Vi kallar Mikaels hus för M ₁ och koordinaterna är 2 och 3. x-koordinaten kommer alltid först och y-koordinaten sedan. Då blir det M ₁(2,3).

Flera koordinater

Vi läggar till Marias mormors hus. Som du kan se bor mormor på andra sidan om y-axeln. Precis som på tallinjen har x och y-axlarna också negativa värden.

Mormors hus ligger vid en punkten M ₂. Koordinaterna är -4 på x-axeln, och 2 på y-axeln. Som alltid anger vi x-koordinaten först: M ₂(-4,2).

Den butik som ligger närmast Marias hus ligger på punkten M ₃, som har koordinaterna (-3,-1). För att hitta butikens position behöver vi först hitta rätt på de båda axlarna.

M ₃s x-koordinat är -3. En negativ x-koordinat betyder att vi skall gå åt vänster på x-axeln. M ₃ s y-koordinat är -1. En negativ y-koordinat betyder att vi ska gå neråt. Nu har vi värdena på de båda axlarna och vet var butiken ligger.

Marias skola ligger vid M ₄, som har en x-koordinat som är 2 och en y-koordinat som är -3. En positiv x-koordinat betyder att vi går åt höger och en negativ y-koordinat betyder att vi går neråt.

Kvadranter

Du kan se att Mikael, mormor, butiken och skolan ligger i olika områden. De här områdena kallas kvadranter.

Mikael bor i den första kvadranten, och sen går vi motsols. Mormor bor i den andra kvadranten. Butiken ligger i den tredje kvadranten. Och skolan ligger i den fjärde kvadranten.

Tillsammans bildar x- och y-axlarna ett koordinatsystem. Precis som ett papper, eller något annat platt, består det av två dimensioner - längd och bredd. De bildar ett tvådimensionellt plan.

Den som först kom på det här systemet för att beskriva positioner var en gammal filosof och matematiker som hette René Descartes, eller Cartesius på latin. Efter honom kallas det här systemet ibland för kartesiska koordinater.

Sammanfattning

En punkts position i en platt yta kan beskrivas som genom två tal. Det första är x-koordinaten och det andra y-koordinaten.

Den punkt där både x och y är noll kallas origo.

Ett positivt värde betyder att du går åt höger från origo på x-axeln och uppåt på y-axeln.

Ett negativt värde betyder vänster på x-axeln och neråt på y-axeln.

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När du tittar på kartan till höger ser du Marias hus och hennes kompis Mikaels hus. Husen är markerade på olika platser på kartan. För att hitta från Marias hus till Mikaels går du först åt höger och sedan uppåt på kartan. Mikaels hus ligger två steg till höger och tre steg upp från Marias.

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Practise using pi to calculate various circle measurements.

This is level 1; find the circumference given the radius or diameter. Give your answers correct to three significant figures. You can earn a trophy if you get at least 7 correct. The diagrams are not drawn to scale.

Description of Levels

Close

Level 1 - find the circumference given the radius or diameter.

Level 2 - find the radius or diameter given the circumference.

Level 3 - find the area of a circle given either the radius or diameter.

Level 4 - the areas of circles are given, find either the radius, diameter or circumference.

Level 5 - the radius and angle subtended at the centre of the circle are given, find the length of the arc or area of the sector of the circle.

Level 6 - this level has mixed questions about the circle. Most of these questions will require a multi-part calculation once the situation described in the question has been understood.

Areas of composite shapes requires an ability to calculate the areas of other shapes such as rectangles, triangles and trapezia.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Help with circle calculations

Use a calculator for this exercise. All of the calculations you will do involve the number π (pronounced pi) which is roughly equal to 3.141592. You should use the π button on your calculator to get this number into your calculation.

Let r be the radius, d the diameter, C the circumference and A the area of a circle.

C = πd [i.e., to find the circumference multiply the length of the diameter by pi]

A = πr ² [i.e., to find the area multiply the square of the radius by pi]

For arcs multiply the circumference by the angle subtended at the centre and divide by 360.

For sector area multiply the circle area by the angle subtended at the centre and divide by 360.

For help using a calculator with circle calculations see Calculator Workout.

For more on this topic see our Circles page.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

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Practise using pi to calculate various circle measurements.

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Testa hur volymen ändras. Gissa med huvudräkning vad svaret ska bli. hur nära kommer du?

https://www.geogebra.org/m/txC3k96R#material/AUQA4nkZ

https://www.geogebra.org/m/qhcpgsgR

https://www.geogebra.org/m/w9ayccnd

https://www.geogebra.org/m/zxkbswpb

https://www.geogebra.org/m/B3Hygpmb

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Gör LÄNGD och MASSA.....Volym och area är svårare....

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Converting measurements of length, area, volume, mass and time from one unit to another.

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Kub vs Pyramid

https://www.geogebra.org/m/xDNjSjEK#material/DeZeUb7A

Cylinder vs Kon

https://www.mathwarehouse.com/animated-gifs/#volume-of-cone

Cylinder Area

https://www.mathwarehouse.com/animated-gifs/#right-circ-cylinder

Pythagoras sats (bonus)

https://www.mathwarehouse.com/animated-gifs/#pythagorean-theorem-animated-gif

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Math Animated Gifs on Geometry, Algebra, Trigonometry and more

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Geometry, trigonometry, Algebra and calculus animated gifs that show math concepts

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https://upload.wikimedia.org/wikipedia/commons/2/2a/Pi-unrolled-720.gif

Rulla själv

https://www.geogebra.org/m/cc8smxbd

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Cylinder= 2 cirklar och en rektangel

https://www.geogebra.org/m/sen3tkbm

Sfär. En sfär=4cirklar

https://www.geogebra.org/m/p4jd88uu

Kon

https://www.geogebra.org/m/xDNjSjEK#material/yzGzrUxs

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https://app.binogi.se/l/introduktion-till-potenser
OBS ATT DET FINNS FLER FILMER OM DU KLICKAR VIDARE

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Du vet väl redan att multiplikation är en serie upprepade additioner?

På samma sätt kan vi använda potensform för att skriva upprepade multiplikationer.

Tre multiplicerat med sig själv fem gånger. För att spara lite plats kan vi skriva om detta så här:

Den större siffran till vänster är basen, i detta fall 3:an. Basen är det tal som ska multipliceras med sig själv. Den lilla siffran som hänger en bit över basen kallas exponenten, i detta fall 5:an. Exponenten berättar hur många gånger basen ska multipliceras med sig själv. Tillsammans utgör basen och exponenten en potens. Denna potens läser vi ut som "3 upphöjt till 5".

Potenser med exponenterna 2 (till exempel 4 ²) och 3 (till exempel 5 ³) har egna smeknamn. Vi kallar dom kvadrat respektive kub.

Det kommer från geometrin.
För att en kvadrats area = sida · sida Och en kubs volym = sida · sida · sida
När du ser ett potensuttryck i siffror betyder det alltid samma sak:

y x = y multiplicerat med sig själv x gånger

Exempel 1

Leon har glömt koden till sitt hänglås. Varje siffra kan ställas in från 0 till 9, alltså med tio alternativ. Hur många olika koder måste Leon ställa in, innan han har provat alla kombinationer som finns?

Det här problemet kan du skriva som ett potensuttryck:

10 alternativ som kan väljas oberoende av varandra tre gånger ger

Det finns 1000 olika möjliga inställningar av Leons kodlås.

Exempel 2

Maria har lånat 5 000 kronor till en cykel. Hon betalar 5% i ränta per år. Om hon inte betalar av något alls under fem år, hur mycket är hon då skyldig?

För varje år som går multipliceras det totala lånade beloppet med räntan:

Skuld efter 1 år: 5000 · 1,05 = 5000 · 1,05 ¹

Skuld efter 2 år: 5000 · 1,05 · 1,05 = 5000 · 1,05 ²

Skuld efter 3 år: 5000 · 1,05 · 1,05 · 1,05 = 5000 · 1,05 ³

Skuld efter 4 år: 5000 · 1,05 · 1,05 · 1,05 · 1,05 = 5000 · 1,05 ⁴

Skuld efter 5 år: 5000 · 1,05 · 1,05 · 1,05 · 1,05 · 1,05 = 5000 · 1,05 ⁵ ≈ 6381

Efter 5 år behöver Maria 6381 kr för att betala tillbaka lånet.

Sammanfattning

Potenser (yx) består av en bas och en exponent.

Basen ska multipliceras med sig själv så många gånger som exponenten säger.

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Du vet väl redan att multiplikation är en serie upprepade additioner? På samma sätt kan vi använda potensform för att skriva upprepade multiplikationer. Tre multiplicerat med sig själv fem gånger. För att spara lite plats kan vi skriva om detta så här: Den större siffran till vänster är basen, i detta fall 3:an.

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testa själv

https://www.geogebra.org/m/xDNjSjEK#material/wt6tje2k

https://www.interactive-maths.com/area-of-a-circle-ggb.html

https://app.binogi.se/l/cirkelns-area

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The Visual Proof of the Area of a Circle | Math Project | Abakcus

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In geometry, the area enclosed by a circle of radius r is π r2. Here is a beautiful visual demonstration of where nr2 derives.

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A game for two players who take turns to select two numbers that add up to a prime number.

Enter the names of the players.

Player 1:

Player 2:

Start

Each adjacent pair of numbers on the line must add up to a prime number.
Play Again

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=755

Teachers' Notes

There are 385072 ways of arranging the numbers 1 - 18 in a circle so that the sum of each pair of adjacent numbers is prime. Here is one of the possible ways

1,6,5,2,3,10,9,8,11,12,17,14,15,16,7,4,13,18.

See Bernardo Recamán's Primes in a Circle Puzzle.

See Scallywags and Scoundrels for a puzzle requiring the numbers 1 - 12 to be arranged in a Prime-Sum Circle.

See Square Pairs Game for a similar game involving square numbers.

See Square Pairs for the related lesson Starter.

Close

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A game for two players who take turns to select two numbers that add up to a prime number.

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Area och volym

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Träna träna Pi (använd miniräknare)

# data[].attributes.attachment_link.readable_text
Practise using pi to calculate various circle measurements.

This is level 1; find the circumference given the radius or diameter. Give your answers correct to three significant figures. You can earn a trophy if you get at least 7 correct. The diagrams are not drawn to scale.

Description of Levels

Close

Level 1 - find the circumference given the radius or diameter.

Level 2 - find the radius or diameter given the circumference.

Level 3 - find the area of a circle given either the radius or diameter.

Level 4 - the areas of circles are given, find either the radius, diameter or circumference.

Level 5 - the radius and angle subtended at the centre of the circle are given, find the length of the arc or area of the sector of the circle.

Level 6 - this level has mixed questions about the circle. Most of these questions will require a multi-part calculation once the situation described in the question has been understood.

Areas of composite shapes requires an ability to calculate the areas of other shapes such as rectangles, triangles and trapezia.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Help with circle calculations

Use a calculator for this exercise. All of the calculations you will do involve the number π (pronounced pi) which is roughly equal to 3.141592. You should use the π button on your calculator to get this number into your calculation.

Let r be the radius, d the diameter, C the circumference and A the area of a circle.

C = πd [i.e., to find the circumference multiply the length of the diameter by pi]

A = πr ² [i.e., to find the area multiply the square of the radius by pi]

For arcs multiply the circumference by the angle subtended at the centre and divide by 360.

For sector area multiply the circle area by the angle subtended at the centre and divide by 360.

For help using a calculator with circle calculations see Calculator Workout.

For more on this topic see our Circles page.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don't yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

# data[].attributes.attachment_link.description
Practise using pi to calculate various circle measurements. This is level 1; find the circumference given the radius or diameter. Give your answers correct to three significant figures. You can earn a trophy if you get at least 7 correct. The diagrams are not drawn to scale.

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Börjar enkelt men blir ganska komplicerat. Mängdträning. Använd miniräknare

https://www.transum.org/software/SW/Starter_of_the_day/Students/Areas_of_Composite_Shapes.asp?Level=6

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Find the areas of combined shapes made up of one or more simple polygons and circles

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https://www.transum.org/software/River_Crossing/

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There are four river crossing puzzles.

Choose a river crossing puzzle above.

Each puzzle requires you to get all of the characters across a river in a small boat. The boat can cross the river many times to get everyone across. Can you solve the puzzle in the smallest number of moves?

You can earn a Transum trophy for each puzzle you complete.

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Can you get everyone across the river safely using only one boat and satisfying the conditions of travel?

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https://nrich.maths.org/5916

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Four friends need to cross a bridge.
They start on the same side of the bridge.
A maximum of two people can cross at any time.
It is night and they have just one lamp.
People that cross the bridge must carry the lamp to see the way.
A pair must walk together at the speed of the slower person:

Rachel: - takes 1 minute to cross

Ben: - takes 2 minutes to cross

George: - takes 7 minutes to cross

Yvonne: - takes 10 minutes to cross

The second fastest way of getting the friends across takes 21 minutes.
The fastest takes 17 minutes. Can you work out how it is done?

You can use the interactivity below to experiment with different strategies.

By clicking on the purple cog you can enter the settings menu and change how long it takes each person to cross.

There are two optimal strategies for solving this type of problem:

Strategy 1 solves the original problem in 17 minutes
Strategy 2 solves the original problem in 21 minutes

Experiment with different speeds and work out when to use Strategy 1 and when to use Strategy 2.
Is there a way of determining which strategy will be best?
Can you find sets of speeds for which both strategies give the same crossing time?

Printable NRICH Roadshow resource

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Four friends need to cross a bridge. They start on the same side of the bridge. A maximum of two people can cross at any time. It is night and they have just one lamp. People that cross the bridge must carry the lamp to see the way.

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Rätblock

https://www.geogebra.org/m/txC3k96R

Prisma ("rätblock" med en triangelformad bas. Basen på prisman kan också vara 4,5,6,7,n körning om man vill. Om basen är rund blir det en cylinder

https://www.geogebra.org/m/xDNjSjEK#material/mBt7z4sE

Cylinder

https://www.geogebra.org/m/WJ8sKG3h

Kon  (och pyramid)

https://www.geogebra.org/m/rbk2pd6u

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Cheese and Onion Pies

A Fraction Sorting Challenge

This activity provides practice ordering vulgar fractions. Drag the pies to the left or right to position them so that the smallest fraction is at the left and the largest at the right.

There are 5 stages in this challenge. If you complete all five stages you can earn a Transum Trophy.

Fractions can be compared by considering the meaning of the numerator and denominator values. A Fraction Wall may help. Alternatively the fractions could be converted to decimals for easier sorting with the help of the Decimals Line. A spreadsheet could also be used to help manage the conversion and sorting.

Vinculum is an online challenge for students in which they have to find a series of fractions each larger than the precious fraction but less than one.

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Sort the fractions from smallest to largest.

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Potensform

https://www.youtube.com/watch?v=i2mPIZjMRrk

Grundpotensform

https://www.youtube.com/watch?v=pvbsUNG9V4I

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Åk 8 - Adam - Tal och räkning - Grundpotensform