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These are picture books that explain math topics from K-5. These are great to recommend to parents when a student is struggling. It's free for now through public libraries. The link will take you to the IFPL.

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Free lessons and books

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Box It or Bag It is a math program for K-2 teachers who want to surround children with a language-enriched, activity-centered learning environment. Students enjoy hands-on experiences with a variety of materials and are encouraged to learn from each other as well as the teacher.

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ISU has regional meth centers that are a huge help! Reach out to Jason Libberton with any questions at any time.

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The purpose of the Idaho Regional Mathematics Centers is to provide Idaho districts and educators with deep, sustained, effective professional development. We offer FREE professional development opportunities to Idaho teachers, and also offer optional credit at $55/credit for all of our offerings. We serve regions 5 & 6, which includes all of Eastern Idaho. Contact us for more info on how you can participate in any of our FREE professional development opportunities.

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The purpose of the Idaho Regional Mathematics Centers is to provide Idaho districts and educators with deep, sustained, effective professional development. We offer FREE professional development opportunities to Idaho teachers, and also offer optional credit at $55/credit for all of our offerings. We serve regions 5 & 6, which includes all of Eastern Idaho.

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EVERYTHING!! Lesson Plans/PLG Ideas

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The Idaho Coaching Network is in the process of updating our Program Data page. We invite you to visit the page and click on the map to peruse an infographic that provides data from 2013-2016. Soon, you'll also be able to access each regions mid-year report to see the highlights of what coaches, teachers, and students have been doing in the Idaho Coaching Network.

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Free Lesson Plans and Publications

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Box It or Bag It is a math program for K-2 teachers who want to surround children with a language-enriched, activity-centered learning environment. Students enjoy hands-on experiences with a variety of materials and are encouraged to learn from each other as well as the teacher.

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Free Benchmark by Grade level

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Start measuring progress now. No strings attached. No credit card required.
Get Started Now
Teacher Deluxe

Start using the full version now. Only $49.99 per year! Restricted to 200 students / one teacher per building. (If you exceed these numbers, check out the District version to better meet your needs!)

Subscribe Now

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Start measuring progress now. No strings attached. No credit card required. Get Started Now Start using the full version now. Only $49.99 per year! Restricted to 200 students / one teacher per building. (If you exceed these numbers, check out the District version to better meet your needs!) Subscribe Now

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Student will access via clever account. Teacher can review/document in teacher clever

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Solve the math fluency puzzle the engaging way-while establishing a pre-algebra foundation and helping kids learn to love math.

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Understanding Numerical Expressions

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Writing and Interpreting Numerical Expressions, 5.OA.2

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Grade 5 Place Value & Rounding Worksheets - free & printable | K5 Learning

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5th grade place value and rounding worksheets, including building whole numbers from their parts, building decimal numbers from their parts, rounding to the nearest 10, 100 or 1,000, mixed rounding problems with numbers up to a million. No login required.

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Mutli-Digit Numbers/Decimals to Hundredths 

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Mutli-Digit Numbers/Decimals to Hundredths 

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Free Learning Assessments to cover PLG Operations with Multi-Digit Numbers and Decimals to Hundreths

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5.NBT.B | Fifth Grade Math Worksheets | Biglearners

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Common Core Aligned Worksheets for Core Standard: CCSS.MATH.CONTENT.5.NBT.B Printables for Fifth Grade Math.

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Includes Mixed Fractions, Adding, subtracting, multiplying and dividing fractions, equivalent fractions

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Fractions Worksheets & Free Printables | Education.com

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Our fraction worksheets provide kids the fraction practice they need, & cover a wide range of skills, from coloring fractions to dividing fractions.

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5th grade measurement worksheets, including converting lengths, weights and volumes or capacities between different measurement units of the same system (e.g. feet to yards) and between the customary and metric systems (e.g. feet to meters). No login required.

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4th, 5th and 6th Grade

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Join the 4th and 5th graders as they chart their growth in inches, and then compare their data by plotting fractions on line plot. Plotting fractions on a line plot helps them to see that one class grew quite a bit more than the other, but the losers aren't feeling too down on their luck. Watch the video to find out why everyone is happy whether or not they grew all that much.

If you like our math joke located on the top right of this page, scroll down and steal it! We made it easy for you. (and, of course, you have our permission)

Fractions on a Line Plot Lyrics:

VERSE ONE
We're in 4th grade analyzing the data we'd got
about how many inches we grew in a year on a line plot.
First, we'll find a common denominator;
next, we'll convert to equivalent fractions for the data.

From zero to four inches we'll draw the line plot;
our intervals are quarter inches each is given a spot.
We'll plot each data point, and we won't stop,
until the units on the bottom and the title's on the top.

CHORUS
First, find a common denominator.
Make equivalent fractions for all the data.
Plot what you've got on the line plot, with a label and a title at the top.

VERSE TWO
Now we're writing the 5th graders growth data down.
How many inches they grew in a year is what we had found,
First, we'll find a common denominator.
Next, we'll convert to equivalent fractions for the data.

From zero to four inches, we'll draw the line plot;
our intervals are quarter inches - each is given a spot -
we plot each data point, and we won't stop,
until the units on the bottom and the title's on the top.

BRIDGE
Now we'll analyze the two line plots we made,
and see that student's grew more in the fourth grade.
The fifth graders grew less, but that was OK,
'cause overall the fifth graders are taller anyway.
And we fourth graders don't care - we may be shorter -
but we rock math every week of every quarter.

Learn More

This song targets TEKS and Common Core place value standards in 5th grade Grade. Look into the relevant standards (5th Grade) here, or learn more about the basics of line plots here.

If you are interested in getting ideas on how to plan a robust standards-aligned place value lesson, we recommend checking out Instructure's recommendations for common core standards 5.MD.2. This pages helps break down standard's language, lay out the grade-appropriate level of rigor for the concept, and offers a variety of suggestions for activities (lesson seeds) that help students achieve their learning targets.

To continue browsing Numberock's math video content library, click here. To gain access to Numberock's growing library of premium content, click here.

Steal Our Joke.

Copy and paste the following text onto your teacher, school, or homeschool website to give your students a chuckle.

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Fractions on a Line Plot Song for 5th Grade | by NUMBEROCK

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Join the 4th and 5th graders as they chart their growth in inches, and then compare their data by plotting fractions on line plot. Plotting fractions on a line plot helps them to see that one class grew quite a bit more than the other, but the losers aren't feeling too down on their luck!

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Volume of a Rectangular Prism | 5th Grade Math

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Graham Fletcher- The Progression of Early Numbers & Counting

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Graham Fletcher- The Progression of Early Numbers & Counting

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The Progression of Early Number & Counting

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Graham Fletcher- The Progression of Addition and Subtraction 

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Graham Fletcher- The Progression of Addition and Subtraction 

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The Progression of Addition and Subtraction HD

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Graham Fletcher- The Progression of Multiplication

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Graham Fletcher- The Progression of Multiplication

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3 Steps in Mastering Multiplication Facts

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3 Steps in Mastering Multiplication Facts

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3 steps to mastering multiplication facts.pdf

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Graham Fletcher- The Progression of Division

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Graham Fletcher- The Progression of Division

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The exact skills you need

Planning a lesson or prepping for an exam?
We've custom-built IXL skills to reinforce each topic within your:

State standards

Virginia Standards of Learning (2016)

Textbooks

See skills that match every chapter of 80+ popular textbooks

Assessments

Use IXL for the NWEA MAP, ACT, SAT, and more

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IXL | Math, Language Arts, Science, Social Studies, and Spanish

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IXL is the world's most popular subscription-based learning site for K-12. Used by over 15 million students, IXL provides personalized learning in more than 10,000 topics, covering math, language arts, science, social studies, and Spanish. Interactive questions, awards, and certificates keep kids motivated as they master skills.

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Many researchers have proved that kids learn better and faster if they actively engage themselves with the math they are learning. Learning through textbooks or flash cards do not provide the required level of active learning. Math games have the ability to put kids' mind on higher active mode. The math games provide an atmosphere where kids can:

think, discuss and share their ideas with others

develop the confidence to speak their minds

work cooperatively

develop curiosity and interest in math

gain confidence to solve math problems in the real world

One important advantage of learning math through games is that it provides an immediate assessment to the student, teacher, and parents. The game format enables the teachers and the parents to evaluate the problem solving strategies adopted by kids while playing.

Math games strengthen the understanding of kids who are already good at Math and provide support to the kids who are in need. Math games teach skills consistent with the school curriculum along with the skills that the formal education sometimes miss out - the skills of enjoying math while thinking hard.

Overview of Math Topics

The table below displays the common core math standards along with the grades.

Counting & Cardinality

When kids enter kindergarten, they have very limited experience with numbers. Some may be able to count to 10 and some may count to 100. Kids at kindergarten are first taught about one-to-one correspondence where they connect one number with one object and then count them with understanding. They then make their way to understand cardinality, i.e., tell how many are there in a set. By the end of kindergarten, kids know the sequence (up to 100) and number names (up to 20). They are able to count the number of objects in small sets (up to 20) and also learn to compare them.

Operations & Algebraic Thinking

Kindergarten: After understanding cardinality, the concept of addition and subtraction is introduced. The kids understand addition as putting together and adding to and understand subtraction as taking apart and taking from. This concept is taught using objects, drawings, manipulative like counters or through math games. By the end of kindergarten, the kids are able to add or subtract within 10.

Grade 1: At this stage, kids are taught to represent and solve addition and subtraction word problems within 20. They understand the relationship between addition and subtraction. They also work with addition and subtraction equation to find the missing whole number in the equation.

Grade 2: By this grade level, the kids are able to fluently add and subtract within 20 using mental math strategies. They also develop skills to add and subtract within 100 and solve one and two steps word problems. The kids also work with equal groups of objects which help them gain foundations for math multiplication.

Grade 3: In this grade, the kids are expected to represent and solve problems involving multiplication and division within 100. They learn the properties of multiplication and relationship between multiplication and division. By the end of grade 3, the kids are able to solve problems involving the four operations and identify and explain patterns in arithmetic operations.

Grade 4: In this grade, kids are expected to solve multi-step math word problems involving whole numbers using the four operations. They also gain familiarity with factors and multiples, prime and composite numbers.

Grade 5: At this level, kids learn to evaluate whole number numerical expressions using the order of operations. They also develop skills to analyze math patterns and relationship between corresponding terms of the patterns.

Numbers & Operations in Base Ten

Kindergarten: The kids learn how to compose and decompose numbers into tens and ones from 11 to 19.

Grade 1: In this grade, kids learn to count to 120, starting from any number less than 120. They understand place value system and are able to compare two-digit numbers based on the meaning of tens and ones digits. They are taught to add/subtract the multiples to 10 in the range 10-90.

Grade 2: The kids, at this grade level, are introduced hundreds, tens, and ones of the three-digit numbers. They are also taught to read and write numbers to 1000 in expanded form and number names using base ten numerals and compare them. They use their place value understanding to fluently add or subtract within 1000. Also, they develop skills to add up to four two digit numbers.

Grade 3: In this grade, kids make use of place value understanding to fluently add and subtract within 1000 and round whole number to nearest 10 or 100. They are also taught to multiply one-digit whole numbers by multiples of 10 in the range 10-90.

Grade 4: In this grade, kids recognize that in a multi-digit whole number, a digit in a place represents 10 times the digit to its left. They are able to read and write multi-digit numbers, their expanded form and number names. They use their understanding of place value system and properties of operations to perform multi-digit arithmetic. Also, they develop a skill to perform multiplication up to four digits by a one-digit and multiply two-digit by two-digit. Besides this, they are taught division with quotients and remainders up to four-digit dividends and one-digit divisors.

Grade 5: This grade calls for the introduction of decimal numbers. Kids are taught to read, write and compare decimals to thousandths. They are also taught to perform operations with multi-digit whole numbers and with decimals to hundredths.

Number & Operations - Fractions

Grade 3: Fractions are introduced at this grade level. The kids develop an understanding of fractions as numbers. They learn the representation of fraction on the number line. They learn about the concept of equivalent fractions and comparing fractions with the same numerator or same denominator.

Grade 4: In this grade, kids extend their understanding of fraction equivalence and ordering. They are able to compare fractions with different numerator and different denominators. They also learn decomposition of fractions along with addition, subtraction, and multiplication of fractions and mixed numbers. Kids are also taught decimal notation for fractions and comparing decimal numbers.

Grade 5: Kids, in this grade, are taught addition and subtraction of fractions by making them equivalent fractions. The kids are expected to extend their previous understanding of multiplication and division to multiply fractions with fractions or whole numbers. They also interpret multiplication as scaling and are able to solve real world problems involving multiplication of fractions and mixed numbers. They apply a previous understanding of division to divide whole numbers and unit fractions.

Measurement & Data

Kindergarten: This grade level focuses on teaching measurable attributes such as weight and length. The kids learn to compare two objects with common measurable attributes.

Grade 1: The kids, in this grade, learn to measure length indirectly and by iterating length units. They are able to tell and write time in hours and half hours using analog and digital clocks. They are also expected to organize, represent and interpret data with questions like how many total, how many in each category or how many less or more.

Grade 2: This grade introduces the standard units of measurement like inches, feet, centimeters, and meters. They are expected to measure and estimate the length of objects in standard units. They relate addition and subtraction to length and work with time and money. They are introduced with line plot, picture graph, and bar graph.

Grade 3: The kids, at this grade, are expected to tell and write time to the nearest minute and measure time intervals in minutes and also solve word problems on this basis. They are introduced the standard unit of capacity and masses like grams, kilograms, and liters. The kids also learn to draw a scaled picture graph and scaled bar graph, generate measurement data by measuring length. They understand the concept of area and relate area to multiplication and addition. The kids also solve real world problems involving perimeters of polygons.

Grade 4: The kids, at this grade level, relate sizes of measurement units within one system of units. They use the four operations to solve word problems involving intervals of time, distances, masses of objects, money and liquid volumes. They also learn to apply area and perimeter for rectangles in the real world. Under geometric measurement, they understand concepts of angles and measure angles in whole number degrees using a protractor.

Grade 5: In this grade, kids are taught to convert different-sized measurement units within a given measurement system and use these units to solve word problems. Under geometric measurement, they are taught about the concept of volumes.

Geometry

Kindergarten: The kids, in this grade, describe objects using names of shapes and also identify and analyze shape as two-dimensional or three-dimensional.

Grade 1: The kids, at this level, distinguish between defining attributes and non-defining attributes of shapes. They are taught to partition circles and rectangles into two and four equal shares.

Grade 2: The kids are able to recognize and draw shapes according to the number of angles or number of faces. Partition circles and rectangles into two, three or four equal shares. They identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

Grade 3: The kids recognize squares, rhombuses, and rectangles as quadrilaterals. They are able to differentiate between quadrilaterals and shapes that are not quadrilaterals. They are also able to partition shapes into equal parts.

Grade 4: The kids are expected to draw and identify lines and angles, and classify shapes by their properties. They are also taught to identify line-symmetric figures and draw lines of symmetry.

Grade 5: The kids are taught to graph points on the coordinate plane to solve real world problems. They classify two-dimensional figures in a hierarchy based on properties.

Math games From SplashLearn

SplashLearn is one of the pioneers in the education system providing a well-designed learning material as per common core math standards and most of the state standards. Some of the attractive features of SplashLearn are:

Play on any device: The kids can play SplashLearn games on the device of their choice; iPad, laptop, iPod etc.

Engaging and rewarding games: The kids jump up with excitement when they realize they can buy their favorite animated pet from the coins earned through practice.

Parent Connect App: The parents can get instant notifications on progress improvement and skill completion through their app.

Offline access: SplashLearn games can also be played offline through their app.

These are only a few features that make SplashLearn attractive, there are many other reasons to choose SplashLearn for making math learning fun.

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Many researchers have proved that kids learn better and faster if they actively engage themselves with the math they are learning. Learning through textbooks or flash cards do not provide the required level of active learning. Math games have the ability to put kids' mind on higher active mode.

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If you don't get an email from us within a few minutes, please be sure to check your spam filter. The email will be coming from support@mobymax.com.

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Effective Math Fact Fluency Solution | Reflex

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Unlock math fact fluency mastery effortlessly with Reflex! Discover the ultimate evidence-based solution to fact fluency challenges for grades 2+. Learn more.

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Effective Math Fact Fluency Solution | Reflex

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Unlock math fact fluency mastery effortlessly with Reflex! Discover the ultimate evidence-based solution to fact fluency challenges for grades 2+. Learn more.

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Video Explanation

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Video Walk through

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Videos and lessons to help Grade 7 students learn how to compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

Common Core: 7.RP.1

Suggested Learning Targets

I can compute unit rates of quantities associated with ratios of fractions (length, area, & other quantities).

I can use proportional relationships to solve real-world problems.

I can simplify a rate, unit rate, ratio by dividing.

I can compute unit rate as a complex fraction.

Compute unit rates associated with ratios of fractions

Related Topics:
Common Core for Grade 7
Common Core for Mathematics
More Lessons for Grade 7
The following diagram shows how unit rates can be used to solve problems. Scroll down the page for more examples and solutions on how to use unit rates.

Ratios & Unit Rates
Ratio is a comparison between two quantities by division
A rate is a ratio that compares quantities in different units
A unit rate is a rate with a denominator of 1.

Examples:
1. The table show prices for different packages of index cards. Which size has the lowest unit cost?

2. Convert 30gals/min cups/second. (Hint: 16 cups = 1 gallon)

3. A contractor has a job that requires 540 person-day. How many workers are needed to complete the job in 60 days?

Unit Rate Word Problems
Examples:
1) Find the unit rate if Suzie reads 45 books in 15 days.
2) Tom swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?
3) A 4.5 pound of apples costs $22.50. What is the unit price?
4) How much would you pay for a pint of milk if you bought 5 gallons of milk for $28?
7.RP.1: Ratios and Unit Rates
Quick instruction on ratios and how to calculate unit rates. Finding Unit Rates by Simplifying Complex Fractions
This video demonstrates two methods of find a unit rate: algebraic and symbolic. This skill directly address CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Example:
William can run 1/2 of mile in 1/10 of an hour. How many miles can he run in one hour? Rate/Unit Rate word problems
Examples:
1. Express each ratio as a fraction in the simplest form.
2. Express each phrase as a rate and unit rate.
3. An amusement park had 350 people come in over the course of 7 hours. At this rate, how many would they expect to come over 15 hours? What was the rate per hour?

4. Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam's rate per hour?

5. Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days? What was her rate per day?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

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Unit Rates - Grade 7 (solutions, examples, worksheets, activities, videos)

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How to compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units, How to compute unit rate as a complex fraction, examples and step by step solutions, Common Core Grade 7, 7.rp.1, word problems, complex fractions

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7th Grade PLG #7 Worksheet Sample

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Solve Real Life and Mathematical Problems Using Numerical and Algebraic Expressions and Equations 

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Solve Real Life and Mathematical Problems Using Numerical and Algebraic Expressions and Equations 

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Simple Interest, Math worksheet for Grade 7 at myTestBook.com

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Simple Interest worksheet, Math Reading Science Tests for Grades 7 , Practice Sample Test, Free Online Worksheets

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Worksheet Ideas for PLG

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7Th Grade Equivalent Expressions Worksheet and Quiz & Worksheet - Using Algebra Tiles | Study.

7Th Grade Equivalent Expressions Worksheet and Free Worksheets For Linear Equations (Grades -, Pre.

7Th Grade Equivalent Expressions Worksheet and Matching Equivalent Expressions | Middle School Math.

7Th Grade Equivalent Expressions Worksheet and Kids Worksheet : Math Solver With Steps Free Act Compass.

7Th Grade Equivalent Expressions Worksheet and Basic Algebra Worksheets.

7Th Grade Equivalent Expressions Worksheet and Basic Algebra Worksheets.

7Th Grade Equivalent Expressions Worksheet and Simple Equivalent Expressions Activity {Free}.

7Th Grade Equivalent Expressions Worksheet and Translating Algebraic Phrases (Simple Version) (A).

7Th Grade Equivalent Expressions Worksheet and Pin On Math.

7Th Grade Equivalent Expressions Worksheet and Pin On Th Grade Math.

7Th Grade Equivalent Expressions Worksheet and Equivalent Expressions With Negative Numbers (Video) | Khan.

7Th Grade Equivalent Expressions Worksheet and Worksheet Ideas ~ Algebraic Expressions Grade Worksheets.

equivalent expressions worksheet 7th grade pdf, generating equivalent expressions worksheet 7th grade, 7th grade equivalent expressions worksheet.

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7+ 7Th Grade Equivalent Expressions Worksheet - Grade - Chartsheet.net

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7Th Grade Equivalent Expressions Worksheet and Quiz & Worksheet - Using Algebra Tiles | Study. 7Th Grade Equivalent Expressions Worksheet and Free Worksheets For Linear Equations (Grades -, Pre. 7Th Grade Equivalent Expressions Worksheet and Matching Equivalent Expressions | Middle School Math. 7Th Grade Equivalent Expressions Worksheet and Kids Worksheet : Math Solver With Steps Free Act Compass.

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Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

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Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

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Graham Fletcher-The Progression of Fractions

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Graham Fletcher-The Progression of Fractions

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graham fletcher videos - - Video Search Results

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The search engine that helps you find exactly what you're looking for. Find the most relevant information, video, images, and answers from all across the Web.

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Graham Fletcher- The Progression of Division

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Graham Fletcher- The Progression of Division

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Imagine Math does not support the browser you are using. Some features will not work if you log in with this browser. To get the best experience and more interactive features from IM, log in using a supported browser. If you cannot install a supported browser, contact your district IT support or IM customer support.

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Math Mammoth Free Printable Placement Assessments

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Math Mammoth Free Printable Placement Assessments

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These free diagnostic tests help you discover your child or student's level in math, and to find out EXACTLY where they have gaps (if any). They are end-of-year (EOY) tests - in other words, meant to be taken AFTER studying the particular grade.

While the tests ARE placement tests for Math Mammoth complete curriculum, they work equally well as GENERIC math assessment tests.

Using the tests will allow you to tailor the instruction to help the child/student right where they need help the most. You can EASILY find out if your student has not learned specific topics, because the tests group the questions by topic. Just look at the test results per "sections" of similar problems (addition, multiplication, measuring, geometry, place value, problem solving).

You can always send me your child's test results if in doubt. (Just send me the point counts for each test item.)

To start, look over the tests and try to find the highest level one that you THINK your student or child will pass. Then you would naturally administer that test.

The video below explains the basics of HOW to use these tests:

This table shows the possible score ranges and how to interpret the result:

90% or more

Administer the next higher level test.

80% to 89%

The student can go on to the next grade level in Math Mammoth.

70% to 79%

The student can probably go on to the next grade level in Math Mammoth, but may need help in filling in gaps. Use your judgment.

50% to 69%

The student can possibly be placed to the grade level of the test. Or, you might administer the next lower level test in order to get a fuller picture of what the student knows and doesn't know.

less than 50%

Administer the next lower level test.

However, it's quite possible that just that one test will not give you a good overview of what the student has mastered. So don't be afraid of administering two or even three tests - or parts of tests. For example, let's say a student gets 70% on a test, and in particular, they get a low score in the geometry section of the test. In that case, it is beneficial to administer the GEOMETRY sections of the next lower level tests also, in order to find out how "large" a gap they have in geometry.

Sometimes, a student who is seriously behind can get a low score on even THREE subsequent tests. Basically, their skills and knowledge are "all over the place" so to speak. Such students can benefit from a tailored approach where the materials they will study will be exactly matched to the gaps they have.

One more important thing. To reduce the test-taking stress, don't put any strict time limit for the completion of the test. We don't want students to build any anxiety over this placement test or tests. Now, some children have already developed anxiety towards test-taking and/or towards math in general. In such cases, it might be best to avoid even these tests, or at least postpone the test-taking until the anxiety has subsided somewhat.

Downloads

Canadian versions

These are all-metric and formatted to Letter size paper. For grades 1-2, the tests use Canadian coins and bills.

International versions (all metric)

The international versions are formatted to A4 paper size, use a space for thousands separator (35 230), and only use metric units. The tests for grades 1 and 2 include a section on counting coins, which is with Australian currency. The rest of the tests don't have questions about coins or bills, and use the "$" symbol for currency.

International-UK versions with pounds & pence (all metric)

The versions below are formatted to A4 paper size and only use metric units. They use British coins and bills.

International-euro versions with euro coins and bills & decimal comma

The versions below are formatted to A4 paper size, use a space for thousands separator (35 230), and only use metric units. They use euro coins and bills, and a decimal comma for money amounts.

Tip: If you notice your child has problems with one or two concept areas in a particular test, but otherwise does fine, you can use Math Mammoth Blue Series books to "fill in those gaps". You can also email me with your test results if you have trouble deciding which Blue Series book you should use for such remedial work.

Math Mammoth grade-level review workbooks can also be used to pinpoint areas of weakness or to review a whole grade level of topics.

An example

Here is an example of one student's test results and the placement advice I gave to the parent of this student.

Background: the student began homeschooling the same year as the tests were taken and is technically in 7th grade. She had started doing Teaching Textbooks Algebra 1. However, the parent noticed that she didn't know some basic fraction information, decided to look for a supplement, and came across Math Mammoth.

The student took three end-of-year tests: for grade 6, grade 5, and grade 4. She did not do very well in the grade 6 test, but you can see her work for grade 4 and grade 5 tests in the links below. If you decide to send me your child's test results, it is not necessary to send me the complete test like this person did, but it makes a good example. Most people send me only the point counts for the various test items.

And here is my assessment and recommendations:

Hello,

I think it's a good idea to have her start at grade 5 in Math Mammoth.

Additionally, I feel she should study these books from the Blue series.

1. Early Geometry, because she doesn't seem to understand the concepts of area and perimeter - which are of paramount importance. This book is for grades 1-3 so some topics in it are too easy and she can skip them.

2. Geometry 1 - meant for grades 4-5. She will need to study the lessons that are in 4th grade level first (angles, quadrilaterals, triangles, etc.) Please note some of the content here overlaps with MM grade 5. She can study the overlapping lessons from either source.

3. Measuring 1 - it is for grades 1-3 but she may need to review everything from the beginning when it comes to measuring units. Some lessons may be too easy and can be omitted - use your judgment on that.

4. Measuring 2 - for grades 4-6. Please note some of the content here overlaps with MM grades 5 and 6. She can study the overlapping lessons from either source.

5. Decimals 1
She has not grasped the basics of how fractions and decimals tie together - which, once again, is a very fundamental concept. She should study Decimals 1 book before starting the decimals chapter in grade 5.

Other than those few areas (geometry, measuring, decimals), she can be placed into MM 5.

By the way, don't assign all the problems that have to do with calculations (large exercise sets) in any of the materials. It's enough to assign maybe 1/3 of those at first. If she has difficulties, then use the rest (and that may be the case when it comes to, say, perimeter and area).

And, she did really well with the first two sections of grade 5 end-of-year-test, which means she could perhaps skip the first two chapters in MM5. You could let her study the chapter reviews and/or tests from those 2 chapters. Check and see how she does with them, and then use your judgment if she'd need to study any of the lessons from those chapters.

Thankfully, she also understands many things of fraction arithmetic, which will make things go quicker in part 5-B.

I'm really glad her 'gaps' are not in general problem solving! It's far easier to deal with topics such as measuring units, area, and perimeter, than to fix a general lack of not being able to solve word problems (which is the case with many children).

Sincerely,
Maria Miller

Questions about placement

1. My K student wants more challenge and to do 1st grade math. How can I know if the Light Blue grade 1 is the right choice for my child?

The Light Blue grade 1 starts out with the same material as these books from the Blue Series:Addition 1 and Subtraction 1. Look over those, see their samples and contents, and that will probably tell you if your children are ready for grade 1.

2. I thought my child had been doing fine in math previously (getting A's and B's), but he/she still failed the placement test for their particular grade level.

This is common for a child coming from public school or from another math curriculum. It is typically due to the facts that (i) Math Mammoth uses multi-step word problems extensively from 2nd grade onward; and (ii) the child may not have covered all the topics in the other curriculum as what are covered in MM. Geometry & measuring often end up being such areas.

To catch up, please see the Tip above about using the Blue Series books. Another thing you can do is accelerate through the earlier levels of Math Mammoth, for example by studying the chapter reviews, and stopping to study any concept that the child has not understood.

This kind of process can typically be done in only a few months, so don't worry! It is much more important to get a solid foundation in math than to look at the grade levels and just go on. In math, it is crucial to understand the previous concepts, because if not, the student WILL eventually fail and most also start hating math.

See also this thread on a homeschool discussion forum:Unexpected experience with end-of-year test for Math Mammoth.

3. A student misses (or doesn't even try) most of the word problems in the test but does okay with calculation problems.

This is a common situation for many students. It usually stems from the lack of good word problems in the math program the student has used previously. Please read what I have written aboutthe problem with word problems so you can understand the origins of this difficulty better.

Our bookMath Mammoth Foundational Word Problems is designed to help such students who are in 3rd grade or above.

Additionally or alternatively, your student could go through certain books in the Blue Series, doing only the word problems and the lessons pertaining to word problems. Use this as a guideline:
Student attempted the 2nd grade EOY test:
Add & Subtract 2-A, Add & Subtract 2-B, and half of Add & Subtract 3.

Student attempted the 3rd grade EOY test:
(possibly Add & Subtract 2-A) Add & Subtract 2-B, Add & Subtract 3, Multiplication 1, and Division 1.

Student attempted the 4th grade EOY test:
Add & Subtract 3, Multiplication 1, Division 1, Multiplication 2, and Division 2.

4. My child did OK on the test except such-and-such area or topic. Can you help me choose remedial materials?

Please see the following chart.

5. I'm a Math-U-See user and my child has not studied some of the materials you cover earlier than MUS. How do I switch over to Math Mammoth?

I'd simply recommend you first have her take a placement test to know exactly what she knows and what she doesn't about those topics that MUS does not cover as much, such as measuring, money, clock, geometry and problem solving.

Then once you have had the child take the test, you can choose booksfrom the Blue Series to address specific topic areas (see the chart above).

Remember also, I'm ready to guide you with these decisions. Justlet me know the child's test results by sections.

By Maria Miller WAIT!

Receive my monthly collection of math tips & resources directly in your inbox - and get a FREE Math Mammoth book!

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Math Mammoth placement tests for grades 1-8 (free math assessment)

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Download free and comprehensive math tests that can be used either as general math assessment tests, or as placement tests for Math Mammoth. I also include suggestions for remedial materials.

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Download eight official SAT practice tests for free. For practice on the digital SAT, explore full-length linear (nonadaptive) practice tests and full-length practice tests on Bluebook™.

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Downloadable Full-Length SAT Practice Tests

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Eight official SAT practice tests are available for free, both online and on paper.

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Video Description

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Lesson Including Video explaing the Pythagorean Theorem

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Pythagoras

Over 2000 years ago there was an amazing discovery about triangles:
When a triangle has a right angle (90°) ...... and squares are made on each of the three sides, ...... then the biggest square has the exact same area as the other two squares put together!

It is called "Pythagoras' Theorem" and can be written in one short equation:

Note:

Definition

The longest side of the triangle is called the "hypotenuse", so the formal definition is:

In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.

Sure ... ?

Let's see if it really works using an example.

Let's check if the areas are the same:

3 ² + 4 ² = 5 ²

Calculating this becomes:

9 + 16 = 25
It works ... like Magic!

Why Is This Useful?

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

How Do I Use it?

Write it down as an equation:

a ² + b ² = c ²

Then we use algebra to find any missing value, as in these examples:

Example: Solve this triangle

Read Builder's Mathematics to see practical uses for this.

Also read about Squares and Square Roots to find out why √169 = 13

Example: Solve this triangle.

Example: What is the diagonal distance across a square of size 1?

It works the other way around, too: when the three sides of a triangle make , then the triangle is right angled.

Example: Does this triangle have a Right Angle?

They are equal, so ...

Yes, it does have a Right Angle!

Example: Does an 8, 15, 16 triangle have a Right Angle?

So, NO, it does not have a Right Angle

Example: Does this triangle have a Right Angle?

Yes, it does!

So this is a right-angled triangle

And You Can Prove The Theorem Yourself !

Get paper pen and scissors, then using the following animation as a guide:

Draw a right angled triangle on the paper, leaving plenty of space.

Draw a square along the hypotenuse (the longest side)

Draw the same sized square on the other side of the hypotenuse

Draw lines as shown on the animation, like this:

Cut out the shapes

Arrange them so that you can prove that the big square has the same area as the two squares on the other sides

Another, Amazingly Simple, Proof

Here is one of the oldest proofs that the square on the long side has the same area as the other squares.

Watch the animation, and pay attention when the triangles start sliding around.

You may want to watch the animation a few times to understand what is happening.

The purple triangle is the important one.

becomes

We also have a proof by adding up the areas.

Historical Note: while we call it Pythagoras' Theorem, it was also known by Indian, Greek, Chinese and Babylonian mathematicians well before he lived.

511,512,617,618, 1145, 1146, 1147, 2359, 2360, 2361

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Pythagoras Over 2000 years ago there was an amazing discovery about triangles: When a triangle has a right angle (90°) ... ... and squares are made on each of the three sides, ... ... then the biggest square has the exact same area as the other two squares put together!

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Practice math while playing games. This page contains all free games section on mathfox.com i.e. Free math games for Preschool, kindergarten, 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade, 6th grade and 7th grade children. Have fun learning math.

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Free Math games from preschool to 7th Grades | MathFox

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Practice math while playing games. This page contains all free games section on mathfox.com i.e. Free math games for Preschool, kindergarten, 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade, 6th grade and 7th grade children. Have fun learning math.

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SplashLearn: Fun Math & ELA Program for PreK-Grade 5

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SplashLearn is an award-winning learning program loved by over 40 million kids for engaging Math and ELA practice. Aligned with Common Core and various state standards.

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Printable Worksheet-3rd Grade

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softschools.com: Internet based

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7th Grade Solving Word Problem Video

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Singapore Math 2 (A Grade 7 Problem from a Singapore text)

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Online Math Games for Free

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Fun Games for Algebra Practice

Pre-algebra and Algebra 2 games on topics like : Linear equations, algebraic expressions, monomials, quadratic equations, polynomials, geometry, angles, areas, decimals, volume, fractions, find 'x' or 'y', graphs, intercepts, integers, order of operations, percentages, pythagoras theory, simultaneous equations & more. Algebra games here include: memory games, fling the teacher algebra games, grade or no grade algebra games, time challenge algebra games, football algebra games, hoop shoot basketball algebra games, En garde algebra game, walk the plank algebra games and more. Algebra Games,Math Games For Kids

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The games include among others : Fun brain, cool games, memory games, Walk the plank, Fling the Teacher, En Garde Duel, Basketball Game, Penalty Shoot and more - for first grade, second grade, third grade, fourth grade, fifth grade sixth grade and eight grade - Algebra is fun.

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These worksheets are printable PDF exercises of the highest quality. Writing reinforces Maths learnt. These worksheets contain pre-algebra & Algebra exercises suitable for preschool, kindergarten, first grade to eight graders levels . The following algebra topics are covered among others:

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This section contains worked examples of problems and vital algebra formulae that are needed through out the theme. It is very important to master using these formulae though some times presenting them in the most simplified manner is necessary for young learners. This section is a step-by-step presentation of how to use algebra formulae on all the topics covered in this site which include formulae on -linear equations, inequalities, decimals, fractions, exponents, graphing linear equations, binomial theorem, pythagoras theorem, quadratic equations, algebraic expressions, factorization, ratios, geometry, integers, order operations, angles, simple equations, slope, arithmetic progression, LCM & HCF, coefficients, quadratic equations, square roots & more-

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These quizzes range from multiple choice algebra quizzes, gap fill quizzes, matching exercises, hotspot quizzes with graphics and more for interactive algebra & pre-algebra practice. - for first grade, second grade, third grade, fourth grade, fifth grade sixth grade and eight grade.

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Algebra Games, Math algebra games, Algebra, elementary math games, Memory games, fling the teacher algebra games, grade or no grade algebra games, time challenge algebra games, football algebra games, En garde algebra game, hoop shoot basketball algebra games, walk the plank algebra game

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7th Grade Geometry/Angles/Area Worksheets

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Following sub-categories/worksheets are available for Worksheet Does Not Exist. Click on the name to view and print available worksheets.

In case you don't find what you are looking for, use search bar on the top to find your worksheets.

Oops...worksheet you are looking for may not exist.

In case you made an error, please try again with correct worksheet name.

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Following sub-categories/worksheets are available for Worksheet Does Not Exist. Click on the name to view and print available worksheets. In case you don't find what you are looking for, use search bar on the top to find your worksheets. Oops...worksheet you are looking for may not exist.

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7th Grade Making Inferences from Data (Random Sampling To Draw Inferences)

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7th Grade Making Inferences from Data (Random Sampling To Draw Inferences)

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Printable Worksheet

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Probability Practice Worksheet 7th Grade

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Probability Practice Worksheet 7th Grade

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8th Grade Differentiating between Rational And Irrational Numbers

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8th Grade Differentiating between Rational And Irrational Numbers

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Video Explanation

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Differentiating Between Rational and Irrational Numbers 8th grade

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Fact Monster - A Trusted Reference Site for Kids

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Fact Monster is a free reference site for students, teachers, and parents. Get homework help and find facts on thousands of subjects, including sports, entertainment, geography, history, biography, education, and health.

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Set up a free parent account to have access to 1000s of lesson plans and resources

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Ones, Tens, and Hundreds | Lesson plan | Education.com

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Students will be able to write the hundreds, tens, and ones numbers in their numeric form. Call your students together as a group. Pass out hundreds, tens, and ones with blocks. Ask your students to show hundreds, tens, and ones using blocks. Ask your students the value of hundreds, tens, and ones.

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Educational Games, Worksheets, and More for Kids

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Download, print, or work on activities interactively today!

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Free Printable K Worksheets

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Worksheets for Kids & Free Printables | Education.com

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Get free kindergarten worksheets to help your child master key skills like the alphabet, basic sight words, and basic addition. Download and print in seconds.

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Free Printable Worksheets for 2nd Grade

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2nd Grade Worksheets & Free Printables | Education.com

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Second grade worksheets get your seven- or eight-year-old to build academic and behavioral skills that help him succeed in school. Try second grade worksheets.

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Free Printable 1st Grade Worksheets

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Browse Printable 1st Grade Worksheets | Education.com

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Browse Printable 1st Grade Worksheets. Award winning educational materials designed to help kids succeed. Start for free now!

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Free Printable 3rd grade Math Worksheets

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3rd Grade Worksheets & Free Printables | Education.com

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Our free third grade worksheets help your eight- or nine-year-old learn with fun exercises and beautiful illustrations. Download and print today.

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Free Printable 4th Grade Math Worksheets

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These fourth grade worksheets support learning across all the core subjects with fun graphics and engaging exercises.

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Free Printable 5th Grade Math Worksheets

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Browse Printable 5th Grade Worksheets | Education.com

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Browse Printable 5th Grade Worksheets. Award winning educational materials designed to help kids succeed. Start for free now!

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Addition and Subtraction within 20-1st Grade Video

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Addition and Subtraction within 20-1st Grade Video

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Addition and Subtraction within 20 - 1st Grade Math (1.OA.1)

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1st Grade Addition and Subtraction Equations Work page

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1st Grade Addition and Subtraction Equations Work page

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Printable equations 1st grade

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10 Tips for Boosting Your Kindergartners Math Skills

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10 Tips for Boosting Your Kindergartners Math Skills

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Did you know that math talk - which is as easy as using numbers while talking with your little one - can set your child up for a lifetime of success in math class? It's never too early to start, whether you're counting Cheerios together or pointing out triangles, squares, and circles. Here are 10 ways to sneak a little math talk into your kindergartner's day.

1. Snack time math

Give your child a small serving of finger food - Goldfish, grapes, that kind of thing - and have your child count them before eating. Have your child eat one - but only one! Now how many are there? Gradually as the snack gets eaten, the counting will evolve into mental math.

2. Making math models

Nope, nothing to do with runways. In math, modeling means using real-life objects or pictures to show math problems. Ask your kindergartner to draw a kid who has 5 cookies and is getting 1 more cookie from a friend. That drawing counts as a math model!

3. Use your hands

Before they can add 2 + 3 or subtract 4 - 1, kindergartners need to understand what adding and subtracting means. You can help! Collect a small pile of buttons. Have your child create a pile with 4 buttons and a pile with 2 buttons. Push those piles together to make a new pile with 6 buttons. Count the total together and explain to your child, "That's addition!" Next, take 2 buttons away from the big pile. Together, count the 4 buttons left and explain to your child, "That's subtraction!"

4. Send them on a scavenger hunt

Which is bigger? Kindergartners need to be able to compare things by size. First, give your child a chopstick and send them on a scavenger hunt around the house (or a room) to find two items that are longer and four that are shorter. (That way, they practice counting, too.) Then hand your child a small ball and have them find two round things that are bigger. Is everything really bigger/smaller? You may get to test out your child's logic skills with some of their answers.

5. What should I do with these numbers?

Does your kindergartner know that when they hear a word problem about Santa eating cookies from a plate on Christmas Eve that subtraction is involved? Build this understanding by sharing lots of math stories with your child. Then stop and ask, "What's happening? Do we need to add or subtract to figure out what is happening in this problem?" If talking about it doesn't make sense, have your child draw a picture or use blocks to help bring the problem (and solution) to life.

6. Which is smaller?

Kindergartners need to learn how numbers compare to each other. Help your child understand how the numbers four, five, and seven compare to each other by asking your child to draw a picture of four stars, a picture of five stars, and a picture of seven stars. Then ask your child to put them in order from low to high, and then high to low. Once your child masters these, try again with larger numbers (up to 20).

7. Picture a place (value)

Counting, recognizing, and naming numbers is sooooo preschool! Now your kindergartner needs to know the value of each digit in a number. Drawing it out can help your child visualize the value behind a number. Ask your child to draw the number 13 using circles, for example, with one group of 10 circles and three loose ones. Once they can do this easily for 11 to 19, give your child larger numbers to draw.

8. Get into shape!

Or shapes. Your child can probably point out and name basic shapes pretty easily, and even tell you how many sides each has. But can they make new shapes using a combination of others? Pull out the shape blocks and have your child create a rectangle or triangle. How many triangles do you use to make a square? Do the same with more advanced shapes, like pentagons and trapezoids.

9. Think patterns

Is your kindergartner getting much pattern homework? A pattern is something that repeats, like square-circle-square-circle. It turns out, patterns are the foundation of algebraic thinking. And kids need to start early! You can help your child think in terms of patterns by pointing them out in art, music, or on clothing - whenever you notice in a pattern in your environment. Ask questions like, "What comes next to make this pattern repeat?"

10. Tell me more

Explaining one's thinking is a big part of Common Core math. When your child draws a picture to solve a math problem, ask them to explain their drawing and their thinking. Ask, "Where did you get those numbers?" and "Why are you adding instead of subtracting?" Lots of practice will help your child get comfortable explaining their thinking and prepare them for the higher level math that's just around the corner.

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10 tips to boost kindergarten math skills | Parenting

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Did you know that math talk - which is as easy as using numbers while talking with your little one - can set your child up for a lifetime of success in math class? It's never too early to start, whether you're counting Cheerios together or pointing out triangles, squares, and circles.

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What Your Kindergartner Should Have Learned

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What Your Kindergartner Should Have Learned

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Benchmark Indication (Rough Idea) of End of K Knowledge

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Did your kindergartner learn the academic and social skills kids are expected to know before beginning first grade? This list will give you a rough idea of what your child should have mastered in kindergarten. If your child is not strong in some of these skills, choose a few to practice this summer. Above all, keep things easy - for yourself and for your child! No two kids are alike, especially when it comes to hitting developmental benchmarks. And at this young age, extra pressure isn't good for anyone.

By the end of kindergarten, kids should be able to:

Cut along a line with scissors.

Understand time concepts like yesterday, today, and tomorrow.

Pay attention for 15 to 20 minutes.

Follow three-step directions, such as go to the shelf, choose a book, then sit quietly on the rug.

Hold a crayon or pencil for writing.

Share materials, such as crayons and blocks.

Know the eight basic colors: red, yellow, blue, green, orange, black, white, and pink.

Recognize and write the letters of the alphabet in upper- and lowercase forms (get letter-writing practice).

Know the relationship between letters and the sounds they make.

Recognize sight words such as the and show interest in reading or trying to read simple sentences. (See a list of kindergarten sight words and try these snap words worksheets.)

Spell their first and last name.

Write consonant-vowel-consonant words such as bat and fan (get some practice here).

Retell the main points of a story that has been read aloud (see what a child retelling a story looks like).

Express an opinion by drawing, writing, or speaking (e.g. "My favorite book is...").

Identify and be able to write numbers from 0 to 20 (get practice writing numbers).

Count by ones and tens to 100.

Do addition problems with sums up to 10 (get addition practice).

Do subtraction problems with numbers 0 to 10.

Identify basic shapes, such as square, triangle, rectangle, and circle (get practice with shapes).

Know their address and phone number (try this worksheet).

Learn more about the kindergarten classroom in these subject areas: reading, writing, language arts, math, science, social studies, art, music, and physical education.

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What your kindergartner should have learned

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Did your kindergartner learn the academic and social skills kids are expected to know before beginning first grade? This list will give you a rough idea of what your child should have mastered in kindergarten. If your child is not strong in some of these skills, choose a few to practice this summer.

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What Your 1st Grader Should Have Learned (end of school year)

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What Your 1st Grader Should Have Learned (end of school year)

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End of 1st Grade Check

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This school year came with unusual challenges as schools shut their doors and learning moved online. Did your first grader learn the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in first grade. If your child is not proficient in some of these areas, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. Choose a few to work on this summer, but keep things low pressure - for you and for your child! In these extreme circumstances, extra pressure isn't good for anyone.

By the end of 1st grade, kids should be able to:

Find out more about your first grader and reading, writing, language arts, math, science, social studies, music, art, and PE.

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What your 1st grader should have learned | GreatSchools.org

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This school year came with unusual challenges as schools shut their doors and learning moved online. Did your first grader learn the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in first grade.

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What your second grader should have learned by the end of the year

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Your child's second grade year had some unusual challenges as schools shut their doors and learning moved online. Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in second grade. If your child is not proficient in some of these areas, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. Choose a few to work on this summer, but keep things low pressure - for you and for your child! In these extreme circumstances, extra pressure isn't good for anyone.

By the end of 2nd grade, kids should be able to:

Find out more about your second grader and reading, writing, language arts, math, science, social studies, art, music, and physical education.

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What your 2nd grader should have learned | GreatSchools.org

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Your child's second grade year had some unusual challenges as schools shut their doors and learning moved online. Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in second grade.

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What your 3rd grader should have learned by end of the year

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Since your child's third grade year was abruptly interrupted by a pandemic, you may wonder: Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in third grade. If your child hasn't mastered some of these skills, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. Choose a few to practice this summer, but keep things low key, both for you and for your child. In these extreme circumstances, extra pressure isn't good for anyone.

By the end of 3rd grade, kids should be able to:

Work cooperatively on group projects with other kids.

Demonstrate increasingly organized and logical thinking.

Write neatly and legibly.

Write a one-page opinion paper, report, or story with an introduction and a conclusion.

With the help of an adult, use a keyboard to type what they write.

Read third grade-level books aloud with expression and comprehension (get reading comprehension practice; see an example of a third grader reading fluently and with expression).

Use strategies, such as looking at prefixes, suffixes, and root words, to read and understand new and unfamiliar words (get practice with prefixes and suffixes and root words).

Multiply and divide with numbers up to 100 (get multiplication and division practice).

Tell time to the nearest minute (get time-telling practice).

Identify places on a map using directions, borders, longitude and latitude lines, the equator, and the North and South Poles.

Know the basic physical components of the earth, such as land forms, water, climate, and weather.

Find out more about your third grader and reading, writing, language arts, math, science, social studies, music, art, and PE.

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What your 3rd grader should have learned | GreatSchools.org

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Since your child's third grade year was abruptly interrupted by a pandemic, you may wonder: Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in third grade.

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What your 4th grader should have learned by end of the year

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Since your child's fourth grade year was abruptly interrupted by a pandemic, you may wonder: Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in fourth grade. If your child hasn't mastered some of these skills, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. Choose a few to practice this summer, but be sure to keep things low key, both for you and for your child. In these extreme circumstances, extra pressure isn't good for anyone.

By the end of 4th grade, kids should be able to:

Find out more about your fourth grader and reading, writing, math, science, social studies, the arts, and physical education.

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What your 4th grader should have learned | GreatSchools.org

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Since your child's fourth grade year was abruptly interrupted by a pandemic, you may wonder: Did your child master the skills they need to be ready for next year? Here's a rough idea of the academic and social skills that kids acquire in fourth grade.

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What your 5th grader should have learned by end of the year

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This school year came with unusual challenges as schools shut their doors and learning moved online. Did your fifth grader learn the skills they need to be ready for next year? Here are some of the most important academic and social skills that kids acquire in fifth grade. If your child is not proficient in some of these areas, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. Choose a few to practice this summer, but keep things low-key - both for you and for your child. In these extreme circumstances, extra pressure isn't good for anyone.

By the end of 5th grade, kids should be able to:

Read and concentrate for periods of up to 30 minutes at a time. (Here's help getting your fifth grader to choose reading over screens.)

Read grade-level books and articles fluently and with good comprehension (get reading comprehension practice here, find 5th grade books here, watch examples of showing understanding and reading smoothly with expression).

Research a topic using a variety of sources, and use the features of a book (for example, the index, glossary, and appendix) to find information.

Identify the conflict, climax, and resolution in a story.

Understand that writing involves several steps: planning, revising, editing, rewriting and, sometimes, trying a new approach.

Type two or more pages.

Collaborate with peers on group projects.

Participate in a group discussion by listening to others and either adding to or responding to what others have said

Use problem-solving strategies to solve real-world math problems (get practice with word problems here).

Add and subtract fractions and decimals (get practice working with decimals here).

Identify and describe three-dimensional shapes, and find their volumes and surface areas (get practice finding volume here).

Use long division to divide large numbers by multi-digit numbers (get division practice here).

Find out more about your fifth grader and reading, writing, math, science, social studies, the arts, and physical education.

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What your 5th grader should have learned | GreatSchools.org

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This school year came with unusual challenges as schools shut their doors and learning moved online. Did your fifth grader learn the skills they need to be ready for next year? Here are some of the most important academic and social skills that kids acquire in fifth grade.

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What your 6th grader should know by end of the year

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Pandemic-related school closures made your child's sixth grade year anything but normal. Did your child learn the skills they need to be ready for next year? Here are some of the most important academic skills that kids acquire in sixth grade. If your child hasn't mastered some of them, don't worry. No two kids are alike, especially when it comes to hitting developmental benchmarks. The important thing is to be making progress toward mastery. Choose a few to practice this summer, but keep things low-key - both for you and for your child. It's more important that at-home learning be an experience that encourages your child to enjoy tackling challenges. And in these unusual times, extra pressure isn't good for anyone.

By the end of 6th grade, kids should be able to:

Read more about your sixth grader and reading, writing, and math under the Common Core Standards.

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What your 6th grader should have learned | GreatSchools.org

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Pandemic-related school closures made your child's sixth grade year anything but normal. Did your child learn the skills they need to be ready for next year? Here are some of the most important academic skills that kids acquire in sixth grade. If your child hasn't mastered some of them, don't worry.

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What your 7th grader should know by end of the year

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Since in-person instruction ended so abruptly for your seventh grader this year due to the pandemic, you may be wondering: Did your child learn the skills they need to be ready for eighth grade? Here are some of the most important academic skills that kids acquire in seventh grade. If your child hasn't mastered some of them, don't worry. The important thing is that your child makes progress toward mastery. Choose a few areas to focus on this summer, but keep things low-key both for you and for your child. It's more important that at-home learning be an experience that encourages your child to enjoy tackling challenges. And in these unusual times, extra pressure isn't good for anyone.

By the end of 7th grade, kids should be able to:

Evaluate a piece of nonfiction writing and determine whether there is sufficient evidence and logic to support the main idea.

Identify themes and central ideas in a work of fiction.

Understand and use academic vocabulary words (see word lists for 6th grade, 7th grade, and 8th grade).

Proficiently read and understand grade-level novels, short stories, poetry, drama, and nonfiction.

Understand that writing involves several steps: planning, revising, giving and receiving feedback respectfully, editing, rewriting and, sometimes, trying a new approach.

Be able to identify evidence and make inferences from the evidence presented. (Read more about finding evidence and drawing inferences.)

Understand the difference between phrases, dependent clauses, and independent clauses and use them correctly in writing.

Write informative and explanatory papers on science and social studies topics that include academic vocabulary words, concrete details gleaned from research, and reference to cause-and-effect relationships.

Express their researched, fact-based opinions in argument papers, in which they also acknowledge - and use facts to argue against - opposing viewpoints.

Give oral presentations of their research and writing in which they present their main ideas to their classmates aloud, using formal language, clear pronunciation, and at a volume loud enough for everyone in the class to hear.

Solve multi-step math problems that involve negative numbers, fractions, decimals, percents, and rate.

Use the four operations (+, -, x, ÷) on decimals, fractions, and percentages in a variety of different types of problems.

Solve algebraic equations and inequalities with at least one variable (unknown number) as a prelude to algebra.

Fluidly convert decimals to fractions (and vice versa) and place both on a number line.

Know the formulas for the area and circumference of a circle.

Understand the basics of probability, including the idea of random sampling and how to use that data to produce a "representative sample."

Read more about your seventh grader and reading, writing, and math under the Common Core Standards.

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What your 7th grader should have learned | GreatSchools.org

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Since in-person instruction ended so abruptly for your seventh grader this year due to the pandemic, you may be wondering: Did your child learn the skills they need to be ready for eighth grade? Here are some of the most important academic skills that kids acquire in seventh grade.

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What your 8th grader should know by end of the year

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Since in-person instruction ended so abruptly for your eighth grader this year thanks to a global pandemic, you may be wondering if your child learned the skills they'll need to be ready for high school. Here are some of the key academic skills that kids acquire in eighth grade. If your child hasn't learned or mastered some of them, don't worry. The important thing is that your child makes progress toward mastery. Choose a few areas to focus on this summer, but keep things low-key - both for you and for your child! It's more important that at-home learning be an experience that encourages your child to enjoy tackling challenges. And in these unusual times, extra pressure isn't good for anyone.

By the end of 8th grade, kids should be able to:

Be comfortable discussing plot, theme, and characters in fiction.

Analyze arguments in nonfiction texts to determine if they are logical, relevant, and supported with sufficient evidence.

Be able to identify evidence and make inferences from the evidence presented. (Read more about making inferences.)

Understand and use academic vocabulary words (see word lists for 7th grade, 8th grade, and 9th grade).

Understand that writing involves several steps: planning, revising, giving and receiving feedback respectfully, editing, rewriting and, sometimes, trying a new approach.

Show increasing sophistication in their narrative, informative, and opinion writing (read more about 8th grade writing).

Understand how to paraphrase and quote information - and cite the source - to avoid plagiarism.

Type accurately at about 40 words per minute or faster.

Give oral presentations of their research and writing in which they present their main ideas to their classmates aloud, using formal language, clear pronunciation, and at a volume loud enough for everyone in the class to hear.

Be comfortable collaborating and working in online platforms such as Google Docs, Sheets, and Slides.

Understand irrational numbers and be able to compare them to rational numbers.

Find the volume of three-dimensional shapes, including cones, spheres, and cylinders.

Find square roots and their opposite, exponents.

Use linear equations to explain relationships between two variables, and create graphs or diagrams to illustrate those relationships.

Analyze data using charts and graphs and be able to explain the patterns in the data.

Read more about your eighth grader and reading, writing, and math under the Common Core Standards.

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What your 8th grader should have learned | GreatSchools.org

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Since in-person instruction ended so abruptly for your eighth grader this year thanks to a global pandemic, you may be wondering if your child learned the skills they'll need to be ready for high school. Here are some of the key academic skills that kids acquire in eighth grade.

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