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Supporting Learners with Numeracy Difficulties

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Supporting Learners with Numeracy Difficulties

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New resources to help teachers support students with numeracy difficulties are now available on the Diverse Learners Hub.

The hub is an initiative of the $1.6 billion Disability Inclusion reform. It offers resources for diverse learners and students with learning difficulties, including strategies, tools and information to help boost your knowledge and skills and help your students reach their goals.

What is a diverse learner?

Diverse learners include students with autism, attention deficit hyperactivity disorder, and learning difficulties such as dyslexia and dyscalculia.

On average, there are 4 or 5 diverse learners in every mainstream classroom.

What is a learning difficulty?

'Learning difficulty' is an umbrella term to describe difficulty students experience with learning because of a variety of reasons (such as disability or living in out-of-home care), and where these students are unable to access the curriculum through high-quality instruction alone.

This group of students, if they are provided with greater knowledge and practice, are capable of closing the gap between them and their peers.

Understanding the reasons why a student may be experiencing difficulties while learning is an important first step to help them better access the curriculum.

What support does the hub offer?

The Diverse Learners Hub includes guidance on how to identify and support students who have learning difficulties in numeracy.

To help you to identify if a student has a learning difficulty in numeracy, the hub has key questions to ask and steps you can take to understand the nature of the student's difficulty.

The hub also has guidance on:

Professional development

Teachers from Victorian government schools can access free professional learning, including the learning difficulties in numeracy video series.

If you are a teacher in a mainstream Victorian school, you can also apply for the Graduate Certificate in Education (Learning Difficulties).

Applications for Round 2 of this tertiary study program open in early 2023.

Find out more

For more information, refer to:

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Supporting students with numeracy learning difficulties

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Access new strategies, tools and information you can use to help your students.

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Observations of a student's performance during numeracy learning and numeracy interviews

Observing how students approach numeracy learning and tasks and the thinking they use provides useful data for decision making. The quality of observational data is determined by what you observe and how, and the anecdotal records, checklists and rating scales you use.

The schedule for early number assessment

Structured interviews with students about numeracy, such as the Schedule for Early Number Assessment (SENA), provide valuable information about a student's approach to numeracy learning and numeracy learning difficulty.

The interview can tell you:

what students know and can do independently and with scaffolding

their level of engagement with numeracy tasks, motivation, self-efficacy and persistence

how they overcome barriers and obstacles in learning

their use of cognitive strategies

their use of metacognition for numeracy.

SENA 1 assesses a student's knowledge and skill in the areas of:

numeral identification

forward and backward counting by saying number word sequences

subitising and use of counting strategies

early addition and subtraction

multiplication and division.

SENA 2 assesses a student's knowledge and skill in the areas of:

early arithmetical strategies

numeral identification of numbers greater than 1,000

counting by 10s and 100s from any number

combining and partitioning to 20

place value 10s and ones

multiplication and division to multiplication and division as operations

area multiplication.

SENA helps you to interpret the numeracy strategies being used by each student in each area. The developmental trajectory for each area on SENA 1 is as follows:

numeral identification: four levels (emergent, numbers 1-10, numbers 1-20 and numbers 1-100)

forward and backward counting by saying number word sequences: six levels (emergent, initial 1-10, intermediate 1-10, facile 1-10, facile 1-30 and facile 1-100)

subitising and use of counting strategies: three levels (emergent, perceptual, conceptual)

early addition and subtraction; five levels (emergent, perceptual, figurative, counting on and back, facile)

multiplication and division: three levels (unable to form groups, able to form groups, able to find the total by).

This protocol assesses both the quality or sophistication of the student's forward counting for each range of numbers and the highest range to which the student can apply it.

Use SENA to understand a student's numeracy learning difficulty

SENA can help you to understand the nature of a student's numeracy learning difficulty. For example:

SENA is a criterion-referenced test. You can match a student's performance on each section of the SENA 1 and 2 with achievement standards on the Victorian Curriculum F-10: Mathematics. The highest level achieved by a student in each area will help you in deciding whether the student has a numeracy learning difficulty.

You can create a numeracy profile for a student who has a numeracy learning difficulty by collating their outcomes for each section of the SENA 1 or 2 on the Individual Analysis Sheet and comparing their performance with content descriptors on the Victorian Curriculum F-10: Mathematics.

Mapping the student's outcomes on the SENA onto the Victorian Curriculum F-10: Mathematics will indicate the areas of numeracy in which the student shows delay. You can also look for evidence of more general delay in other areas of learning and development.

You can find more information on mathematics and numeracy assessment on Mathematics Teaching Toolkit.

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This page describes the numeracy assessment tools available for different age ranges and the aspects of numeracy they assess. These tools will help you to understand a student's numeracy learning difficulties.

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Copy of Number Sense & Place Value with Base Ten Blocks.pptx

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By the end of Foundation, students make connections between number names, numerals and position in the sequence of numbers from zero to at least 20. They use subitising and counting strategies to quantify collections. Students compare the size of collections to at least 20.

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Copy of Bundles and Sticks representations.pptx

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Copy of Locating Numbers on a number line within 1,000.pptx

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Support

Government schools: 1800 641 943

Non-government schools: insight@education.vic.gov.au

To access the Insight Assessment Platform, please read the privacy statement:

Privacy and Collection Notice

In using the Insight Assessment Platform you agree to comply with all privacy and confidentiality obligations applicable to you as an educator, as well as any applicable terms of use for the Platform.

Personal information about students and educators will be collected when you use the Insight Assessment Platform.

The Victorian Curriculum and Assessment Authority (VCAA), together with the Department of Education and Training (DET), provide the Insight Assessment Platform as an Education State initiative aimed at helping educators assess the progress of all learners and supporting more targeted teaching practices.

The VCAA is a statutory authority established under the Education and Training Reform Act 2006. All personal information collected by the VCAA is handled in accordance with the Privacy and Data Protection Act 2014 (Vic) and, where applicable, the Health Records Act 2001 (Vic).

When an individual's personal information is provided to the VCAA by a third party the VCAA requests that those individuals are made aware their personal information will be or has been provided to the VCAA, the purpose/s for which it will be or was provided and to whom it will be or is likely to be disclosed.

Collection

The VCAA collects the following categories of information when you use the Insight Assessment Platform:

in relation to educators: school name, email, first name, last name, phone, unique identifier

in relation to students: first name, middle name, last name, gender, Victorian Student Number, ALTcode (e.g. CASESID), grade level

Purpose

The above information is collected for student and school level reporting and related purposes and to fulfil our obligations under the Education and Training Reform Act 2006 (Vic).

Disclosure

The VCAA will not disclose personal information unless it is authorised by law. More detailed information is contained in the VCAA's privacy policy.

Offsite and geographically remote software and data storage

In some circumstances the VCAA may collect, transfer and store personal information in an electronic format using applications and services owned and operated by third party service providers. Some personal information may be collected in 'social media' applications owned and operated by third party service providers. In these and other formats, the VCAA ensures that any such collection, transfer and storage of data is undertaken in a manner consistent with the PDP Act, and in particular with its provisions relating to outsourcing and transfer of information outside Victoria.

Access, correction or queries

If you have a query about any data in the Insight Assessment Platform, contact your school in the first instance.
Individuals have the right to seek access to their personal and health information held by the VCAA/DET and to have that information corrected if it is inaccurate. Initial inquiries regarding access to personal information held by the VCAA in relation the Insight Assessment Platform can be made by contacting:

Project Manager, Assessment Systems Development, insight@education.vic.gov.au

Requests for access to personal and health information held by the VCAA should be made in writing to:

The Privacy Officer
Victorian Curriculum and Assessment Authority
Level 7, 2 Lonsdale Street
MELBOURNE VIC 3000
vcaa.privacy@education.vic.gov.au

For more information on how the VCAA collects and handles information, please visit our privacy policy page.

To access the Insight Assessment Platform, select your school sector or service below:

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Government schools: 1800 641 943 Non-government schools: insight@education.vic.gov.au To access the Insight Assessment Platform, please read the privacy statement: In using the Insight Assessment Platform you agree to comply with all privacy and confidentiality obligations applicable to you as an educator, as well as any applicable terms of use for the Platform.

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The Foundation to Level 10 Mathematics Curriculum Companion is a suite of learning and teaching resources aligned to the Victorian Curriculum. It has been developed in consultation with Victorian primary and secondary teachers.

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Lots of numeracy resources. Seach by topic & year level.

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Australian Curriculum Year 2 Maths - Ochre Education

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This website uses cookies to improve your experience while you navigate through the website. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. We also use third-party cookies that help us analyze and understand how you use this website.

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https://www.youtube.com/c/HowieHua1
https://www.youtube.com/c/JamesTanton_SquineCosquineTanq
https://www.youtube.com/c/JoelSperanzaMath
https://www.youtube.com/c/misterwootube

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Howie Hua - YouTube

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This YouTube channel is dedicated to help you understand math.

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https://www.openmiddle.com/

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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS?

HERE'S OUR GROWING COLLECTION

WANT TO SHARE OPEN MIDDLE WITH OTHERS?

CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK

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CHALLENGING MATH PROBLEMS WORTH SOLVING DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL Get Our Favorite Problems Take The Online Workshop WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS? HERE’S OUR GROWING COLLECTION Get Google Slide Versions WANT TO SHARE OPEN MIDDLE WITH OTHERS? CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK Elementary Version

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Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math.

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GeoGebra - the world's favorite, free math tools used by over 100 million students and teachers

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Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more

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AMSI produces a range of resources to enhance content knowledge and pedagogical understanding. Our accessible materials, textbooks and classroom resources support existing mathematics programs from Foundation to Higher Education.

Careers

As the demand for technology and innovation increases, so does the demand for STEM occupations. It is estimated that 70% of the fastest growing occupations will require STEM skills and maths is undoubtably the tool students will need to take advantage of these jobs of the future and for those wanting to make a difference in our world.

ICE-EM Textbooks

The ICE-EM Mathematics series develops a clear understanding of mathematical ideas and concepts for students with a range of abilities, needs and levels of interest.

The textbooks have been developed to provide a coherent and solid development of mathematics ideas to support the transition from Primary to Secondary school.

Calculate

Calculate supports teachers with free mathematics materials, classroom resources and online professional learning for teachers from Foundation to Year 12 and is an effective way for teachers to support and enhance their existing maths program.

Get a Maths Job

This paper is a career guide to becoming a working mathematician – finding a job where you do the kind of maths that makes you happy.
Download a PDF of the paper (500 KB)

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Inquiry Maths is a model of learning that encourages students to regulate their own activity while exploring a prompt (an equation, statement or diagram). Inquiries involve questioning, conjecturing, generalising and proving and, when required, listening to or giving an explanation. In Inquiry

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Resources for teaching STEM to students.

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The Number Check is a quick and easy way for teachers to gauge the number knowledge of Year 1 students.

The Number Check is not compulsory; however, it has many benefits, including helping teachers to check progress of - and to plan early interventions for - those children who may not yet be attaining the expected level of development.

Teachers, we want your feedback on the Year 1 Number Check!

Take our 5 minute survey and be entered to win one of 50 Coles vouchers worth $100
Key features

Free, interview-style assessment

Conducted one-on-one

Online or paper-based

Aligned to Australian Curriculum: Mathematics V9.0 Year 1 Content descriptions

Choose from a 20-item Check or a shorter 12-item Check.

View the Number Check FAQs here.

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The Number Check is a quick and easy way for teachers to gauge the numeracy knowledge of Australian Year 1 students.

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Classroom Challenges are lessons that support teachers in formative assessment. There are 100 lessons in total, 20 at each grade from 6 to 8 and 40 for 'Career and College Readiness' at High School Grades 9 and above. Some lessons are focused on developing math concepts, others on solving non-routine problems.

The Brief Guide for teachers and administrators (PDF) is recommended reading before using these lessons for the first time.

Each lesson is downloadable as an all-in-one PDF to print out, and a supporting PowerPoint presentation.

Finding a Lesson

There are several ways of navigating:

1. Use the menu on the left to browse by grade and topic area, or search for a key phrase.

2. Go to the Standards tab to find lessons linked to a particular content standard or practice.

3. The complete set of lessons is listed below in alphabetic order.

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Classroom Challenges are lessons that support teachers in formative assessment. There are 100 lessons in total, 20 at each grade from 6 to 8 and 40 for 'Career and College Readiness' at High School Grades 9 and above.

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Name

Description

Equipment

Grades

Arm Link

Stand at front of room. Say “I have 2 brothers”. Anyone else in the room that has 2 brothers joins you – linking arms. One of them states another attribute. Etc.

Nil.

F to 6

Back-to-Back

2 students sit back-to-back. Give each the same number and the same number of each color of pieces. One builds a shape and then gives instructions to the other so he/she builds the same shape.

2 sets of 9 to 10 pieces of construction material.

F to 6

Blind Tic-Tac-Toe

A B C As for regular tic-tac-toe,
1__/__/__ here 2 competitors cannot
2__/__/__ look at the board. Have to
3__/__/__ give grid references, eg. B2

Nil.

2 to 6

Button Sort

In pairs, ask the children to sort the buttons provided to them by one attribute. Now by 2 attributes (eg. shape and number of button holes). Now 3.

Large container of mixed buttons of all shapes & sizes.

F to 6

Buzz

Skip counting, students must say “buzz” on designated multiples or on designated final numbers (eg. “buzz” on any numbers that end in a 0 or 2 when counting by 4s).

Nil.

2 to 6

Calculator v Computator

Choose 2 students. One student gets the calculator. The other has to work out the mental computation problems you ask in their head. First to score 3 points.

A calculator.

3 to 6

Coin Combinations

Have some coins totaling $1, 50c, 30 or 20c in your pocket. For example, tell the students you have 30c. What coins do I have? See if they can match your coins.

Some coins, try 50c – 1 x 20c, 1 x 10c and 4 x 5c.

1 to 6

Date Maths

Using only the numbers in that day’s date (eg. 16/02/12) the students (in pairs or as a class) must make a number sentence for all the numbers 1 to 20.

Nil.

3 to 6

Follow My Directions

Ask a student to stand outside of the room. Now hide an object within the room. Student returns. Now, using clear directions such a right/left, quarter turn, forward/back, etc. lead him/her to object.

Nil.

F to 6

Four Corners

In each corner of the room attach a clearly seen Club, Spade, Diamond and Heart. Tell students you are going to turn over one from a deck of cards. They go to the corner of the suite they believe will be turned over.

Deck of playing cards.

F to 6

Guess the Attribute

Ask a group of students to stand in one corner. Now choose some more to form another group. Continue until all students are grouped. Ask students – how did I group you? What attribute? Use color of clothing/shoe type/same letter in first name, etc.

Nil.

F to 6

Heads and Tails

Use 1 coin. What can occur? 10 flips – record on board. What happened? Using 2 coins – what combinations could occur? 2 heads – put hands on head. 2 tails – put hands on tail. 1 head and 1 tail – put 1 hand on head, 1 on tail.

2 x 20c coins.

2 to 6

Hear My Shape

Choose a student to look away from the board. On the board draw a regular shape slowly and so that the student can hear it being drawn (eg. a rectangle). What was the shape? How do you know?

Nil.

F to 6

How Much In My Pocket?

“I have some money in my pocket. You have 8 questions that you can ask me to find out how much I have. After 8 questions you can guess." Emphasize the importance of not guessing numbers haphazardly.

An amount of notes and gold coins in your pocket.

1 to 6

Human Birthday Graph

Students need to find ways to stand and literally organize themselves into their birthday months at the front of the room.
At grades 3 to 5 – do this without talking at all.

Nil.

F to 6

Human Number Line

Give a number (0 to 9) each to 10 students. Can you line yourselves up smallest to largest? Find a partner so your numbers add to 10. Odd and even. Straight numbers/curved numbers. 4 and 3 - make the largest number you can, etc

Numbers 0 to 9 on medium sized pieces of card.

F to 2

Magic 8

Students make digital numbers using popsticks and following a calculator display. Start with 0, then 1, 2, etc. When they start running out of sticks – “I think there’s a number that all digital numbers can be made from – I wonder what it is?”

Calculator, 14 -15 popsticks between each two students.

F to 2

Mastermind

Write a 3 to 5 digit number on a piece of paper - unseen. Students have 5 guesses to work out what the number is. For example, your number is 8 326. Child guesses 5 372. So 5x 3/ 7x 2o. x = not in my number; / = correct number, correct place; o = correct number, wrong place.

Nil.

2 to 6

Mindreader

Give children (in groups or whole class) 4 or 5 clues to the number you’re thinking of. Children should wait until you have provided all the clues before guessing. “I am a 2 digit number; I am an odd number; the first digit is even; my digits add up to 7”. What's the number?

Nil.

1 to 6

Ninny Ninny

Place 3 blue, 3 red and 3 green counters, or similar, in a container. Students need to guess/predict what color counter you will draw from the container. Once drawn, colour stays out. For each of the nine draws students need to predict the color.

3 blue, 3 red, 3 green counters or teddy bears, etc.

2 to 6

Pendulum Predictions

Ask students to consider then record how many full swings the pendulum will make in 30 seconds. Students count the swings. Compare with prediction. Now halve the length of string. Predict again.
Swing and count. Compare. Halve again.

Ball of blu-tak attached to an 18cm ball of string.

1 to 6

Pick It Out

Pull numbers (0 to 9) one at a time from a container. Students try to make the largest number possible. Play from tens and ones (Foundation) up to millions (Grades 4,5,6)

Numbers 0 to 9 on small cards, container.

F to 5

Probability Lines

Children line up or place stickers on a pre-made probability line 0_______1 to show what they think is the likelihood of an event happening.

Nil.

F to 5

Talking Heads

Using Post-Its or similar, place an unseen number on students’ foreheads or backs. They can ask yes/no questions of others to work out their number

Post-Its.

2 to 6

Tell Me Something About…

Choose a number (for example, 11). Tell the children that you want all of them to think of something special about number 11. It can be what the number means to them, it can be how the number looks, it can be mathematical.

Nil.

F to 6

Ten Second Walk

Students, in turn, take as close to ten seconds as possible to walk a designated distance (eg. across the room). Before declaring the time, students guess how long it took.

Stopwatch.

2 to 6

The answer is... What could the question be?

The answer is 13. What could the question be? What is 3 times 4 plus 1?
What is an unlucky date? What is a baker’s dozen? What is 20 – 7?

Nil.

2 to 6

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Classroom Maths Ideas & Activities | Rob Vingerhoets Maths is Fun

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At youcubed, we inspire, educate and empower teachers of mathematics, transforming the latest research on mathematics learning into accessible and practical forms.

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Did you know that you don't have to memorize every multiplication fact? If I forget a fact, I can use what I know to figure it out instead of shooting flames!

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Fluency is the focus of one of the three aims of the new National Curriculum. In this feature we bring together some of the tasks which we think promote numerical fluency in an engaging way. Some of these are games which could be played again and again, whereas others are one-off challenges. The article looks at the meaning of fluency in the context of number, and how it can often be unintentionally misinterpreted.

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Fluency is the focus of one of the three aims of the new National Curriculum. In this feature we bring together some of the tasks which we think promote numerical fluency in an engaging way. Some of these are games which could be played again and again, whereas others are one-off challenges.

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MAV

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I have also included many examples of the games I have developed or adapted below. Note that all of these activities below have been published in teacher journals and magazines. These games are equally relevant whether or not you have any interest in implementing the SURF framework in your classroom.

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The Calendar Game is a fun way for kids to practice scheduling while solving word problems.

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Interactive Learning Sites for Education

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Interactive Learning Sites for Education

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Spinners: Explore

Guess which colour is chosen most often.

Shape Overlays: Picture Studio

Build pictures from simple shapes.

The Vile Vendor: Questions

In this primary maths game you must use a vending machine to get a vile-flavoured drink such as Cabbage, Smelly Sock or Fresh Fish.

Musical Number Patterns: Musical Times

In this fun primary maths game, you will make some music by building up rhythms played by four instruments.

The Slushy Sludger: Questions

In this statistics based primary maths game, the Sludger vending machine has four possible flavours.

Use division to help these puppies

Divide biscuits and toys equally among puppies in a pet shop, using a dividing tool to help you.

Fraction fiddle: Matching cake fractions

Fun primary maths game in which you will help Fran fill orders in a cake shop.

Finding the area of compound shapes

Want to find the area of shapes based on rectangles?

Rainforest: Use compass points

In this fun primary maths game you learn how to use compass points and a scale to find places on a map?

Rainforest: Make a walking track

In this fun primary maths game you mark the route for a walking track on a rainforest map.

Divide it up: Grouping tool

You work in a newsagency. Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons.

Back to Nature - The Deep River, episode 7

Has nature ever inspired you to create? Nature can open us up to new ways of sensing and understanding ourselves.

Time Tools: 12-hour to the minute

Learn and practise how to tell the time on both analogue and digital devices in this fun maths game.

video

MathXplosion, Ep 46: Can you solve the Three Cups Problem?

Find three cups, place them in a line and turn one cup facing down.

3mins 30secs

Wed 8 Dec 2021, 2:26pm

video

MathXplosion, Ep 45: How to make an origami frog

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry.

3mins 30secs

Wed 8 Dec 2021, 1:25pm

video

MathXplosion, Ep 2: Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product.

3mins 30secs

Tue 7 Dec 2021, 2:59pm

video

MathXplosion, Ep 12: How to draw a perfect circle with your pinkie

Did you know you can draw a perfect circle using your pinkie?

3mins 30secs

Tue 7 Dec 2021, 3:34pm

video

MathXplosion, Ep 4: Tessellation tricks

Learn how two shapes from a repeating tile cause a pattern to undergo a metamorphosis.

3mins 30secs

Tue 7 Dec 2021, 2:59pm

video

What is a fractal?

Do you know what a fractal is?

3mins 56secs

Wed 2 Feb 2022, 2:44pm

video

Fun with fractals

Do you know how to recognise a fractal?

5mins 3secs

Wed 2 Feb 2022, 2:44pm

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Algebra tiles, base ten blocks, number lines etc.

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Use our GeoGebra authored resources in your lessons as warm-ups, starters, explorations, practice, exit tickets, etc. Our resources are continually being added to, updated, and improved. If you have any particular requests, let us know at community@geogebra.org Enjoy!

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Use our GeoGebra authored resources in your lessons as warm-ups, starters, explorations, practice, exit tickets, etc. Our resources are continually ...

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This activity allows manipulation and investigation of various types of angles. The online protractor tool can be used to practice measuring angles. It can be used at a variety of different grade levels. At its most basic for teaching about types of angles, acute, obtuse or reflex. For more advanced use to create angle problems in which the missing letter angle values have to be found. You can click and drag the handles to change the angles and the values will updated.

The controls

The mode control is used to it selects the type of angle problem.

Next to this is number of lines. But please note this control is disabled for both 'one' and 'intersect' modes.

the random button sets each angle to a random value

the equals button make all the angles equal.

the Protractor button when clicked will show or hide a protractor

Paper can select spots, squares or none for the background.

Use the angles display to choose whether to show or hide angles

In all the modes individual angles can be shown or hidden for example click the angle (a). Notice when the value is hidden the angle value next to the angle arc is replaced by the corresponding letter.

The handles at the end of each line can be clicked and dragged to change the angle.

Mode 'one' Identifying angle types.

The initial mode is unique in that there is only one angle. This mode is great for identifying various types of angles. Click the angle type ctrl to either show or hide the type. So now you can change the angle by dragging a handle or clicking dice for a random value. The angle types definitions are listed in the glossary below.

Complementary Angles mode

In this mode a complementary angle is shown, complementary angles add up to 90° Initially the 90° is split by just one line but this can be changed by selecting a different number of lines. A standard school problem is to have one missing angle that needs to be calculated. You can produce infinite such problems by selecting calculate from angles display, now press dice for a new problem.

Supplementary Angles mode

Supplementary angles are angles that add up to 180°. This mode behaves exactly the same as the previous.

Angles at a point mode

The angles at a point add up to 360°. In this mode press = button to make all the angles equal. This can be good way to start a problem followed by small adjustments to the lines by dragging.

Angles at intersecting lines mode

The final mode deals with angles produced by an intersection of two lines. If you have selected calculate you will notice that only one angle is given and all the other 3 can be worked out using the vertically opposite rule, or spotting the supplementary angles.

Angles Glossary

Acute Angle

Any angle that is less than 90°

Right Angle

An angle that is 90°

Obtuse Angle

An angle greater than 90° but less than 180°

Straight Angle

An angle of 180° which makes a straight line

Reflex Angle

An angle greater than 180°

Related activities

The interactive clock angles activity can also be used in explaining angles.

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Online protractor & angle maker | interactive angle visualiser | visnos

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Easy measure angles, using interactive whiteboard angle simulator. Online protractor or angle problems with acute, obtuse, reflex angles. Further complementary, supplementary and angles at a point. Use on interactive whiteboards, angles can be automatically shown or measured with a protractor.

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Amazing variety of virtual manipulatives

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Amazing variety of virtual manipulatives

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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Online manipulatives bring all of the learning and fun without the mess. Our math virtual manipulatives help students grasp abstract concepts through modeling. Literacy virtual manipulatives create a fun space for practicing spelling, rhyming, and more!

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Virtual Manipulatives | Mathematical Modelling | Toy Theater

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Original teaching tools aimed at supporting teachers in the elementary school classroom. Two color counters, 3D dice, probability spinners, graph builders, fraction bars, base ten blocks, and more!

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Play any tabletop game online with friends. PlayingCards.io Multiplayer Virtual Card Table

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Multiplicative Thinking Tasks Di Siemon.pptx (1)

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Michael Minas has worked in education for over 25 years and his areas of interest include problem solving and student engagement. Michael's YouTube channel features 100 videos of engaging maths games and has attracted over three quarters of a million views from educators from across the globe.

In 2018, Michael's ability to shape learning was recognised when he won a CHOOSEMATHS Teaching Excellence Award. He presents at conferences around Australia and provides consultancy services to a range of organisations, including the Mathematical Association of Victoria and the Victorian Academy of Teaching and Leadership. Michael was the editor of Prime Number from 2019 to 2021 and is a contributing author for the Maths300 website. He is also the author of Understanding and Teaching Primary Mathematics in Australia and The Curse: The Colorful & Chaotic History of the LA Clippers.

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Michael Minas has worked in education for over 25 years and his areas of interest include problem solving and student engagement. Michael's YouTube channel features 100 videos of engaging maths games and has attracted over three quarters of a million views from educators from across the globe.

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Math: pre-k - 8th grade | Math | Khan Academy

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If you're seeing this message, it means we're having trouble loading external resources on our website.

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https://photos.google.com/share/AF1QipPUhHweMG3cpSQ2CRL0scB2KtIKi2D6UFLrLtVuBNpr_z-UWsqce6nzZGmkWi5UWA?pli=1&key=QlZfb2Rtd05vbXRiVklUSldiUGVTSVMxd2hINXJn

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https://stevewyborney.com/2019/09/51-esti-mysteries/

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51 Esti-Mysteries - Steve Wyborney's Blog: I'm on a Learning Mission.

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http://www.meaningfulmathmoments.com/same-or-different.html

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This routine, also known by some as "Alike or Different" is a routine in which the teacher presents two numbers, shapes, or objects to be compared. The teacher carefully selects what will be compared to focus student thinking on a desired mathematical concept. This routine is powerful because it fosters so many curricular competencies, including communication, reasoning, constructing arguments, etc in relation to mathematical ideas. Brian Bushart, with the support of several other amazing Math educators have created an outstanding website with examples that have been categorized into galleries based on math concepts.

it can be incorporated at any point during a day or lesson.

the teacher presents the students with two or more numbers, shapes, etc. Careful selection of the numbers and shapes to be compared allows the teacher to focus student thinking on the desired mathematical concept.

The students are asked to think about ways in which the two are the same or different? Give quiet thinking time first. You may also wish to provide to have students share their thinking in pairs. Then ask for volunteers to share with the class.

Depending on what objects, shapes or numbers are selected to be compared, many content areas can be a focus, including:

comparing quantities

place value

addition, subtraction, multiplication, and division

geometry

fractions

measurement

Some potential learning intentions for curricular competencies include

Reasoning and Analyzing - use reasoning to construct viable arguments when comparing objects, shapes, and numbers

Understanding and Solving - engaging in problem solving

Communicating and Representing - explaining and justifying similarities and differences

Connecting and Reflecting - identifying relationships between objects, shapes, and numbers

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This routine, also known by some as "Alike or Different" is a routine in which the teacher presents two numbers, shapes, or objects to be compared. The teacher carefully selects what will be compared to focus student thinking on a desired mathematical concept.

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http://wodb.ca/

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with special thanks to Christopher Danielson and his Which One Doesn’t Belong - A Shapes Book.

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with special thanks to Christopher Danielson and his Which One Doesn’t Belong - A Shapes Book.

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Look at the two pictures. What do you notice?

1. How are pictures A and B mathematically the same, and how are they different?

A and B are the same because ...

A and B are different because ...

2. Choose a third fraction or decimal value and make a model. Explain how your number and model are the same as A and B, and how they are different.

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Look at the two pictures. What do you notice? How are pictures A and B mathematically the same, and how are they different? A and B are the same because ... A and B are different because ... Choose a third fraction or decimal value and make a model.

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Look at this set of four pictures. Decide which one doesn't belong with the other three. Use math words to describe your thinking. There are many ways to think about each one!

Challenge

See if you can find reasons why each of the pictures might not belong with the other three.

Share

Explain your thinking to someone else. Do they have different reasons why one doesn't belong?

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Which One Doesn't Belong? Focus on Fractions

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Look at this set of four pictures. Decide which one doesn't belong with the other three. Use math words to describe your thinking. There are many ways to think about each one! See if you can find reasons why each of the pictures might not belong with the other three.

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From PD

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Click on a graph for access to the slide deck, as well as additional resources and mathematical & content connections.

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Graphs for the Elementary Classroom - Slow Reveal Graphs

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Click on a graph for access to the slide deck, as well as additional resources and mathematical & content connections. Follow Me Get new content delivered directly to your inbox.

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A few free digital tools

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Digital tools | Maths tools for teachers | White Rose Education

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Our ever-expanding range of digital manipulative tools helps teachers make maths more engaging. View our Maths resources from White Rose Maths.

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Warning: Your browser does not support JavaScript - RANDOM.ORG may not work as expected

Advisory: We only operate services from the RANDOM.ORG domain. Other sites that claim to be operated by us are impostors. If in doubt, contact us.

Playing Card Shuffler

This form allows you to draw playing cards from randomly shuffled decks. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs.

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This page allows you to draw playing cards from randomly shuffled decks using true randomness, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs.

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Pattern Blocks is an online mathematical manipulative that helps students develop spatial reasoning. As students become more familiar with composition and decomposition of shapes, they start to recognize "patterns," which is one of the most important standards of mathematical practice.

Pattern Blocks is a versatile manipulative that can be easily accessed by students of any age for remediation or enrichment.

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Pattern Blocks | Manipulatives | Coolmath4Kids

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Pattern Blocks is an online mathematical manipulative that helps students develop spatial reasoning. As students become more familiar with composition and decomposition of shapes, they start to recognize "patterns," which is one of the most important standards of mathematical practice. Pattern Blocks is a versatile manipulative that can be easily accessed by students of any age for remediation or enrichment.

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Number Line is an online mathematical manipulative that helps students develop greater flexibility in mental arithmetic as they actively construct mathematical meaning, number sense, and understandings of number relationships.

Our Number Line also helps students learn to tell time, by showing how numbers intervals on a line correspond to minute intervals on a clock.

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Number Line | Manipulatives | Coolmath4Kids

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Number Line is an online mathematical manipulative that helps students develop greater flexibility in mental arithmetic as they actively construct mathematical meaning, number sense, and understandings of number relationships. Our Number Line also helps students learn to tell time, by showing how numbers intervals on a line correspond to minute intervals on a clock.

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Ten Frame | Manipulatives | Coolmath4Kids

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Ten Frames virtual manipulative � a free online tool for classrooms and homes.

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Whiteboard.chat - Interactive Online Whiteboard for Teachers and Students

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Whiteboard.chat is a free interactive internet tool that helps you to communicate with your students. Visit our website for a Free interactive online whiteboard.

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https://ictgames.com/mobilePage/abacus/

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Number Rack facilitates the natural development of children’s number sense. Rows of moveable, colored beads encourage learners to think in groups of fives and tens, helping them to explore and discover a variety of addition and subtraction strategies.

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Base Ten Blocks (also known as "Base 10 Blocks" and "Place Value Blocks") is an online mathematical manipulative that helps students learn addition, subtraction, number sense, place value and counting. It lets them investigate how to regroup and solve problems with whole numbers and eventually fractions and decimals.

Overall, Base Ten Blocks provides a visual foundation for the abstract algorithms we want students to use as they grow.

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Base Ten Blocks | Manipulatives | Coolmath4Kids

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Base Ten Blocks virtual manipulative - a free online tool for classrooms and homes

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The Maths Hub supports mathematics and numeracy education for primary and secondary schools; providing resources for teachers, students and their families, including the Number Check for teachers.

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Arrow Cards is a tablet-friendly place value teaching tool.

Learning Objectives:
Y1: To count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
Y1: When given a number, identify 1 more and 1 less
Y2: To recognise the place value of each digit in a two-digit number (10s, 1s).
Y3: To recognise the place value of each digit in a 3-digit number (100s, 10s, 1s)

beads button - changes the concrete example to an abacus, (press again to hide / reveal).
three squares - changes the concrete example to Deinnes cubes, (press again to hide / reveal).
single arrow card - to hide / reveal the arrow cards.
zero button - to zero everything.
stack of arrow cards - to partition your number.

click on any card - to partition that digit.

Why not try counting whilst the arrow cards are hidden.

Have fun!

This game is © copyright 2021, J.Barrett, ictgames.com All Rights Reserved.

Made using the and libraries.

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Arrow Cards is a tablet-friendly place value teaching tool. Learning Objectives: Y1: To count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Y1: When given a number, identify 1 more and 1 less Y2: To recognise the place value of each digit in a two-digit number (10s, 1s).

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Fruit splat game. Numbers 1-1000

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Number Words - Early Math- Fruit Splat Game - Math Game

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Name that number - match the numer to the name of the number in this early math game

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QR CODE

Scan this on mobiles and tablets to quickly open this web page.

Mental Maths Train is a maths game which focuses on the essential vocabulary of addition, subtraction, multiplication and division. It can help children to understand what type of calculation they have to do when faced with word problems.

It is a multiple choice game that is suitable for children from 5 to 11 years of age. Mental Maths Train is also good for consolidation of times tables knowledge. As with all of our games, Mental Maths Train works well on an interactive whiteboard.

AGE

5-11 Years

SUBJECTS

Maths Addition Subtraction Multiplication Division

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Mental Maths Train - A Four Operations Game

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Mental Maths Train is a maths game which focuses on the vital vocabulary of addition, subtraction, multiplication and division. It helps children understand what type of calculation they have to do when faced with word problems.

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KS2 Maths Invaders

** New tablet-friendly version added 14th February 2018. Please let me know if you have any problems - support@mathsframe.co.uk

Shoot the spaceship with the correct answer and dodge the incoming fire. A fun game to practise a wide range of key mathematical skills.

There are over a hundred carefully differentiated levels linked to objectives from the new maths curriculum. The game can be used to teach: Multiplication, Addition, Reading Numbers, Subtraction, Fractions of Numbers, Roman Numerals, Rounding Numbers, Division, Converting Fractions to Decimals, Converting Fractions to Percentages, Telling the Time in Words, Recognising Multiples, Factors, Prime, Square and Cube Numbers, and Simplifying Fractions. A full list of levels is below. This game is also available as an iOS and Android app.

Scan to open this game on a mobile device. Right-click to copy and paste it onto a homework sheet.

Game Objectives

You can choose to play one level, or several (from the same section).

Multiplication:

Addition:

Reading Numbers:

Subtraction:

S.5. Subtract a two-digit number from a two-digit number (Y2)

S.10. Subtract ones from a three-digit number(Y3)

S.15. Subtract two-digit numbers from three-digit numbers (y4)

Fractions of Numbers:

Roman Numerals:

Rounding Numbers:

Division:

Convert Fractions to Decimals:

Convert Fractions to Percentages:

Telling the Time in Words:

Multiples, Factors, Prime, Square and Cube Numbers:

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New tablet-friendly version added 14th February 2018. Please let me know if you have any problems - support@mathsframe.co.uk Shoot the spaceship with the correct answer and dodge the incoming fire. A fun game to practise a wide range of key mathematical skills. There are over a hundred carefully differentiated levels linked to objectives from the new maths curriculum.

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Make a total or 100 or as close to 100 as possible.

Watch the introduction video.

1. Roll the dice. Press Roll.

2. Make a calculation select the first number and an operation (the second number is entered automatically).

3. Complete the Value and Running total boxes.

4. Repeat, aiming to get 100 or as close to 100 as possible.

5. Press Finish when done.

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Make a total or 100 or as close to 100 as possible. Watch the introduction video. Roll the dice. Press Roll. Make a calculation select the first number and an operation (the second number is entered automatically). Complete the Value and Running total boxes. Repeat, aiming to get 100 or as close to 100 as possible.

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Students often struggle with the concept of fractions. This interactive fraction strips tool helps students visualize fractions. With these online fraction strips, students can model fractions, solve fraction problems, explore equivalent fractions, and observe the differences between denominators.

To use the interactive fraction strips tool, click and drag the strips onto the canvas. You can drag as many of each fraction as you'd like. To remove the strips, drag them off the canvas. Change the chart to accommodate two whole units by pressing the "Unit Double" button. Add annotations using the pencil tool and erase using the eraser. To clear the canvas, press the trash can button.

A few activities you can do with students while using the online fraction strip tool include:

Have students model a given fraction, mixed or not. For example 1 1/4 or 3/6.

Ask students to model addition, subtraction, multiplication, or division problems using the fraction strips.

Ask students to find equivalent fractions for a certain fraction. For example, how many sixths are equivalent to 1/3?

Ask students to use the pencil tool to divide one of the wholes on the chart into fourths. Then, students can check their work by dragging fourths onto the chart afterward.

Looking for more fraction manipulatives? Try our interactive fraction circles.

Visit classplayground.com for more resources and printables about fraction strips.

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Fraction Strips | Free Virtual Manipulatives | Toy Theater

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Use the interactive fraction strips tool to help students visualize, model, and explore fractions. Students can also solve problems using fraction strips.

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Students often struggle with the concept of fractions. This interactive fraction strips tool helps students visualize fractions. With these online fraction strips, students can model fractions, solve fraction problems, explore equivalent fractions, and observe the differences between denominators.

To use the interactive fraction strips tool, click and drag the strips onto the canvas. You can drag as many of each fraction as you'd like. To remove the strips, drag them off the canvas. Change the chart to accommodate two whole units by pressing the "Unit Double" button. Add annotations using the pencil tool and erase using the eraser. To clear the canvas, press the trash can button.

A few activities you can do with students while using the online fraction strip tool include:

Have students model a given fraction, mixed or not. For example 1 1/4 or 3/6.

Ask students to model addition, subtraction, multiplication, or division problems using the fraction strips.

Ask students to find equivalent fractions for a certain fraction. For example, how many sixths are equivalent to 1/3?

Ask students to use the pencil tool to divide one of the wholes on the chart into fourths. Then, students can check their work by dragging fourths onto the chart afterward.

Looking for more fraction manipulatives? Try our interactive fraction circles.

Visit classplayground.com for more resources and printables about fraction strips.

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Fraction Strips | Free Virtual Manipulatives | Toy Theater

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Use the interactive fraction strips tool to help students visualize, model, and explore fractions. Students can also solve problems using fraction strips.

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In collaboration with ACARA and aligned to the Australian Curriculum Version 9.0, Moneysmart's lesson plans are engaging activities that bring everyday financial topics into the classroom.

Use these plans as a one-off lesson, or as part of a unit of work. Choose by year groups or by theme. There is plenty of flexibility to modify and extend activities to suit your students, your school, and your community.

Lower Primary: Understanding Australian Coins - Students learn about Australian coins, their features, and their value.

Middle Primary: Let's party! - Students learn about needs and wants, while budgeting for a birthday party.

Upper Primary: Buy me! - Students learn how advertising can influence consumers.

Upper Primary: Owning a pet - Students learn about pet ownership in Australia and the cost of buying and keeping a pet.

Upper Secondary: Understanding compound interest - Students learn how compound interest works and why saving now can help you later.

Upper Secondary: Different ways to pay - Students learn about the pros and cons of various payment options, what happens to their money, different consumer products and where to go for more information.

Upper Secondary: The cost of cars - Students learn about car ownership in Australia and the real cost of buying and running a car.

Senior Secondary: How to spot a scam - Students learn how scams work and how to avoid them.

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In collaboration with ACARA and aligned to the Australian Curriculum Version 9.0, Moneysmart's lesson plans are engaging activities that bring everyday financial topics into the classroom. Use these plans as a one-off lesson, or as part of a unit of work. Choose by year groups or by theme.

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Scaffolding Numeracy in the Middle Years

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Scaffolding Numeracy in the Middle Years

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The Scaffolding Numeracy in the Middle Years 2003-2006 (SNMY) was an Australian Research Council Linkage Project awarded to RMIT University, the Victorian Department of Education and Training and the Tasmanian Education Department from July 2003 to June 2006.

The project investigated the efficacy of a new assessment-guided approach to improving student numeracy outcomes in Years 4 to 8. In particular, it was aimed at identifying and refining a learning and assessment framework for the development of multiplicative thinking at this level using rich assessment tasks.

The project was lead by an expert team at RMIT including:

Professor Dianne Siemon

Adjunct Professors John Izard and Max Stephens

Dr Shelley Dole

Mrs Margarita Breed

Ms Jo Virgona

Teachers can use the materials and resources from the project in their classrooms to help scaffold numeracy and develop multiplicative thinking with their students.

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Last Update: 11 September 2018

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Scaffolding Numeracy in the Middle Years

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The Scaffolding Numeracy in the Middle Years 2003-2006 (SNMY) was an Australian Research Council Linkage Project awarded to RMIT University, the Victorian Department of Education and Training and the Tasmanian Education Department from July 2003 to June 2006. The project investigated the efficacy of a new assessment-guided approach to improving student numeracy outcomes in Years 4 to 8.

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Stage 2 Thinking mathematically resource

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Introduction
Welcome to the Stage 2 (Years 3 and 4) section of the maths student resource site. Learning in mathematics requires intentional, targeted teaching which takes place in various different contexts, using various pedagogies. To help us organise the resources here, we have categorised