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Our popular series of short videos that break down effective classroom practices for every grade level in literally one minute—all in one place. How’s that for a quick win?

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Free access until 6/30/20

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The most popular manipulatives at your fingertips. Powerful yet easy-to-use.

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Short (3-10 minute) videos intended for teacher and student use focused on targeted concepts and skills. Organized by topic.

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Middle School Index

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Illustrative Mathematics 6-8 Math version 3.1415 | Kendall Hunt

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IM 6-8 Math is a problem-based core curriculum rooted in content and practice standards to foster learning and achievement for all. Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language.

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Same But Different is a powerful routine for use in math classrooms. The images can be used for teaching a way of thinking: grayscale thinking, categorical thinking; helping students to build a network of ideas and an approach for learning and thinking about mathematics.

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The Coherence Map shows the connections between Common Core State Standards for Mathematics.

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Use NWEA MAP Test scores to generate personalized study recommendations

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MAP for Primary: p 28 - 32 Mathematics 2-5: p 13 - 17 Mathematics 6+: p 18-22

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Access Google Sites with a personal Google account or Google Workspace account (for business use).

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Primary Maths Lessons
Numbers and Place Value
Reading and Writing Numbers

Using Base Ten Blocks (MAB / Dienes Blocks) to Represent Place Value

Place Value

Number Sentences

Comparing and Ordering Numbers

Significant Figures

The Number Grid

Introduction to Addition

Addition Strategies

Adding 3 Numbers

Column Addition

Skip Counting

Word Problems

Subtraction

Subtraction Facts

Subtraction Strategies

Column Subtraction

Word Problems

Multiplication

Introduction to Multiplication

Times Tables

Factors and Multiples

Multiplication Strategies

Multiplying by 10, 100 and 1000

Long Multiplication

The Grid Method of Multiplication

Lattice Multiplication

Multiplication Word Problems

Introduction to Division

Factors and Multiples

Division Strategies

Short Division

Long Division

Division Word Problems

Dividing by 10, 100 and 1000

Divisibility Rules

Special Types of Numbers

Odd and Even Numbers

Square Numbers

Square Roots

Prime Numbers

Introduction to Fractions

Equivalent Fractions

Simplifying Fractions

Mixed and Improper Fractions

Fractions of Amounts

Ordering Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Introduction to Decimals

Decimals on a Number Line

Adding and Subtracting Decimals

Multiplying Decimals

Rounding Decimals

Percentages

Introduction to Percentages

Finding Percentages of Amounts

Percentage Increase and Decrease

Converting Fractions, Decimals and Percentages

Drawing Shapes

Properties of Shapes

Order of Operations

Ratio and Proportion

Scaling and Proportion

Ratios and Fractions

Sharing in a Ratio

Shape Transformations

Negative Numbers

Introduction to Negative Numbers

Addition and Subtraction with Negative Numbers

Reading Timetables

Seconds, Minutes, Hours, Days, Weeks, Months and Years

Telling the Time on an Analogue Clock

British (UK) Money

American Money

Roman Numerals

Introduction to Algebra

Writing Algebraic Terms

Plotting Graphs and Charts

Coordinates

Pictograms

Tally Charts

Block Graphs

Probability

Measurement

Temperature

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Primary Maths Lessons Numbers and Place Value Reading and Writing Numbers Writing Numbers to 100 in WordsReading Numbers in the ThousandsReading Large Numbers: Place Value of Millions and BillionsNumber Writing Practice to 10 Counting Counting to 10 using a Number LineCounting to 20 on a Number LineTeaching More or Less Than for Comparing QuantitiesSkip Counting ...

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Quick activities that can be used to check for understanding or emphasize key information at the end of a lesson.

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by Terry Heick

Reflection is a natural part of learning.

We all think about new experiences-the camping on the car ride home, the mistakes made in a game, or the emotions felt while finishing a long-term project that's taken months to complete.

Below I've shared 15 strategies for students to reflect on their learning. Modeling the use of each up front can go a long way towards making sure you get the quality of work you'd like to see throughout the year-and students learn more in the process.
15 Reflection Strategies To Help Students Retain What You Just Taught Them 1. Pair-Share
Pair-share is a classic learning strategy where students are paired, and then verbally 'share' something that will help them learn new content, deepen understanding, or review what they already know. It can also be used as a quick and dirty assessment tool, as the conversations generally reflect a level of understanding the teacher can use gauge mastery and plan further instruction.
2. Sentence Stem-based responses
Sentence stems are great because they're like training wheels-or to mix a metaphor, tools to coach students into thinking and speaking in certain patterns. For example, you can implore students to 'think critically,' but if they don't have even the basic phrasing of critical thinking (e.g., 'This is important because...'), critical thinking will be beyond their reach.

You can also see our sentence stems for critical thinking here for other examples (you don't have to buy the materials to see the samples).
3. Layered Text
Layered text is something I've meant to write about for years and never have. A layered text is a digital document that is filled with hyperlinks that communicate, well, just about anything: Questions students have, opportunities for further inquiry, odd references and allusions that reflect the schema students use to make meaning, and so on. (Rap Genius does a version of this.)

By adding 'layers' of meaning to a text through meaningful hyperlinking, students can reflect back on anything, from a pre-assessment journal entry that demonstrated their lack of understanding, to a kind of 'marking up' of what they learned when, and from where.
4. Tweet
140 characters forces students to reflect quick and to the point-great for brief bursts of reflection or hesitant writers who would struggle to write meaningful journal entries or essays. In fact, you can combine twitter with #6 for twitter exit slips.
5. 3-2-1
3-2-1 is a tried-and-true way to frame anything from a pair-share or journal entry (e.g., ask students to write 3 things they think they know, 2 things they know they don't know, and one thing they're certain of about a topic) pre-assessment to a post-assessment (e.g., list three ways your essay reflected mastery of skill X, two ways skill Y still needs improving, and one way you can make your argument stronger in the next five minutes) to a reflection of the post-assessment.

Read more about using the 3-2-1 format for critical thinking.
6. Exit Slips
Whether you call them exit slips or exit tickets, asking students to briefly leave behind some residue of learning-a thought, a definition, a question-is a powerful teaching strategy. In fact, 'exit-slip teaching' literally drives how I use data in the classroom. Asking students to drop some bit of reflection of the learning process on a chair by the door on the way out is a no-brainer.

Some examples?

How did you respond emotionally to something you struggled with today? What did you find most surprising about _____? How did your understanding of _______ change today? What about _____ still confuses you or makes your curious?
7. Write-Around
I love write-arounds-easy ways for students to write asynchronously and collaboratively. And the writing fragments students use don't have to be prose-certain key vocabulary and phrases can help students reflect, but most importantly in a write-around, help students learning from one another as each student is able to read other responses before creating theirs.
8. Sketch
Whether by sketch-notes or doodles, allowing students to draw what they think they know, how they believe their learning has changed, or some kind of metaphorical pathway towards deeper understanding is a great learning strategy for students that tend towards creative expression, and a non-threatening way for struggling students to at least write something down on paper you can use to gauge understand and plan your (their) next step.
9. Podcast
Through podcasting as a reflecting strategy, students will talk about their learning while recording. If you want to keep it 'closed-circuit' (not published), or actually push it to a public audience of some kind depends on the learning and students and privacy issues and so on.

This can also be simply an audio file recorded and uploaded to a private YouTube channel that's shared with teachers or parents.
10. Brainstorming
Brainstorming can be an effective reflection strategy because it disarms issues with other approaches. For hesitant writers, journaling may not work because the writing process could overwhelm the learning. Podcasting may not work for shy students, Pair-Share may not work well if students are paired effectively, and so on.

Brainstorming is much simpler. Students could take an allotted time to write down everything they remember about a topic. Or, they could brainstorm questions they still have (things they're confused or curious about). They could even brainstorm how what what they learned literally connects with what they already know by creating a concept map.
11. Jigsawing
Jigsawing is a grouping strategy where a task, concept, or something 'larger' is broken down into small puzzles pieces, and students in groups analyze the small puzzle piece, then share out to create the puzzle at large. Using this approach for reflection is seamless: Among other approaches, you can prompt students in groups to gather and share questions they have (you could group by readiness/ability, for example) in groups, and then choose one question that they weren't able to answer among themselves with the whole class (anonymously-no one has to know who wrote the question).
12. Prezi
Think of a cross between a sketch, collage, and presentation, and you have a prezi. Engaging-though distracting and overwhelming if the reflection you need is minor-reflection tool that allows students to create an artifact of learning for their digital portfolios.
13. Vlog
This reflection strategy is close to 'Podcasting' and even has something in common with pair-sharing. By reflecting through vlog'ing, students simply talk about their learning to a camera.

This approach would be successful for students that love talking to a camera, but less so for others (who, if they have to talk at all about their learning, may prefer podcasting-or simply recording audio files that are never published.
14. Collage
You could do a normal collage of learning reflections, but a multimedia collage is also possible-maybe a sketchnote with a voiceover recorded as a YouTube video to share as a quick presentation with the class (or absent students).
15. Journaling
The University of Missouri-St Louis offers 3 kinds of journals that demonstrate the different possibilities of the otherwise vanilla-sounding 'journaling.'

1. Personal Journal - Students will write freely about their experience. This is usually done weekly. These personal journals may be submitted periodically to the instructor, or kept as a reference to use at the end of the experience when putting together an academic essay reflecting their experience. (Hatcher 1996)

2. Dialogue Journal - Students submit loose-leaf pages from a dialogue journal bi-weekly (or otherwise at appropriate intervals) for the instructor to read and comment on. While labor intensive for the instructor, this can provide continual feedback to students and prompt new questions for students to consider during the semester. (Goldsmith, 1995)

3. Highlighted Journal - Before students submit the reflective journal, they reread personal entries and, using a highlighter, mark sections of the journal that directly relate to concepts discussed in the text or in class. This makes it easier for the instructor to identify the student to reflect on their experience in light of course content. (Gary Hesser, Augsberg College)
15 Strategies For Students To Reflect On Their Learning; image attribution Flickr user woodleywonderworks

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Strategies To Help Students Retain What You Taught Them

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by Terry Heick Reflection is a natural part of learning. We all think about new experiences-the camping on the car ride home, the mistakes made in a game, or the emotions felt while finishing a long-term project that's taken months to complete. Below I've shared 15 strategies for students to reflect on their learning.

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

Which One Doesn't Belong?

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

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Would You Rather Math – ASKING STUDENTS TO CHOOSE A PATH AND JUSTIFY IT WITH MATH

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Teachers, sign up for my mini-workshop to learn about how to implement Would You Rather Math into your classroom routines. We will explore some sentence frames, what happens when things don’t go as planned, how to use the prompts in a remote learning setting, and much more. See you there!

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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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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

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HERE'S OUR GROWING COLLECTION

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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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There is a lot of talk in math education circles about the power of noticing and wondering. And (pardon the pun) it's no wonder! When we ask math students to notice and wonder, we shift the focus from teachers' explanations to students' ideas. Observing (noticing) and questioning (wondering) are simple, powerful habits that enliven and enrich every aspect of instruction. For the teacher, they support formative assessment, lesson design, classroom discourse, differentiation, and the potential for greater rigor. For the student, they develop self-reliance, confidence, curiosity, perseverance, problem-solving, conceptual understanding, and reasoning.

Does it seem strange that such a simple idea has such profound potential? Try it! As you and your students spend more time observing, questioning, and creating, you develop new habits of mind that transform the learning environment, leading to more productive beliefsabout math and how we learn it.

So where to start? A fun and practical approach is to begin with Creative Math Prompts. These are just images-sometimes very simple ones-that you show to students in order to elicit their observations and questions. Images like these open a space for mathematical creativity. The immediate goal is simple-to get students comfortable expressing their thoughts and realizing that their ideas matter. Ultimately, you would like the habits of noticing, wondering, and creating to extend beyond the prompts and become an everyday part of your teaching and your students' thinking.

Please bear in mind that, in keeping with the theme of this website, the Creative Math Prompts below are designed with advanced learners in mind. However, prompts like these are appropriate for all learners, and I encourage you to try them with others! You will discover students whose mathematical insights and creativity blossom even though their strengths may not show up well in traditional tasks and assessments. If you find that some prompts are too complex or advanced, you can usually modify them to suit other needs. All learners benefit from noticing, wondering, and creating!

Read about tips and suggestions for Using Creative Prompts.
See the Click on an image to get more information about a prompt. CMP Content Guide to help you align Creative Math Prompts with the content that you teach.

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There is a lot of talk in math education circles about the power of noticing and wondering. And (pardon the pun) it's no wonder! When we ask math students to notice and wonder, we shift the focus from teachers' explanations to students' ideas.

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Steve Wyborney's Blog: I'm on a Learning Mission.

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Resources Archives - Steve Wyborney's Blog: I'm on a Learning Mission.

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Over the past 5 years, this blog has seen nearly 3.1 million views. The most popular strategies from the blog all have one thing in common: They include downloadable resources and strategies which can be immediately used in the classroom. They are also free! I'm sometimes asked these two questions: "Which are the most popular...

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Kim Jones McClelland, a principal in our Principal Life group on Facebook, shared these brilliant ideas for things to do during COVID closures that is now going viral, for good reason! These low-tech kid activities are great for elementary kids (although I know some middle schoolers who could learn a lot from #4!).

1. Interview a family member.

Taking the time out to learn more about the people in your family might surprise your children. Get them to dig deep and think about their questions and their responses. Save these interviews so you can read them again.

2. Measure the area and perimeter of each room in your home.

This is a math skill everyone needs to know how to do. Bonus points if they do the windows too so they'll know what size curtains would work!

3. Graph the types of birds that frequent your yard or windows.

Bird watching is fascinating for everyone. Check out these tips for identifying birds. Once you've tracked your birds, make a graph to show how many of each kind were in your backyard during a certain period of time.

4. Be completely silent for 60 minutes, then write about the experience.

In a world where there are so many distractions, it's amazing what we notice when we're silent.

5. Write and mail a [real] letter to your teacher or principal or classroom pen pal. Address the envelope yourself.

Learning to write a letter and address an envelope is important even in the age of email. The thrill of getting a letter in the mail cannot be overestimated.

6. Build a "fable fort" out of blankets and chairs. Camp in it all day while you create stories to tell your family over dinner.

Human beings love telling stories. What's a fable? Learn about them and read some here.

7. Learn Morse Code and use it to communicate with your siblings through walls and floors.

It's pretty fun (and clever) to use Morse Code as a way to keep messages hidden.

8. Alphabetize the spices in your kitchen.

Think only books can be alphabetized? The cook in your family will appreciate an organized spice cabinet.

9. Stay up late and stargaze.

When you don't have to go to school in the morning, it can be okay to stay up late once in a while. Stretch out and watch the stars. If kids are curious about them, show them how to learn more.

10. Call a grandparent or older relative. Ask them to teach you the words to a song from their childhood days.

Just like #1, this is something that can really help kids learn more about the people in their lives.

Use this quiet time to tinker and consider how things are made.

12. Determine and chart the times that different liquids require to turn solid in the freezer.

You know that game where kids blindfold each other and then do taste tests with things like hot sauce and beet juice? This one is less messy, or likely to start sibling arguments.

13. Design and build puppets that perform a show about multiplication.

Thinking about things in new ways drives new learning. It'll be fun to get puppets teaching about math, and really nothing helps kids solidify their understanding than teaching someone else.

14. Construct a family tree.

Make this one wide-open and out of the box. Challenge your kids to create any kind of tree they want and include anyone who they consider to be family.

15. Learn ten new big words. Write them in marker on your bathroom mirror.

Don't worry, marker comes off mirrors easily. Meanwhile, yay for big words like: ubiquitous, flippant, and redundant.

16. Draw a map of your home and neighborhood.

In addition to be an important part of understanding how maps work, this activity helps kids define their world. Bonus tip: choose a safe place near your home on the map to meet family members in an emergency.

17. Sit silently for 15 minutes while you write down every sound you hear. When you are done, classify the sounds (high/low pitch, high/low volume, manmade v. naturally occurring, etc.).

Number 4 started kids off paying attention to silence. In this activity, let's get kids making comparisons.

18. Create a Venn Diagram that compares and contrasts two people connected to you in anyway.

Understanding that people who seem very different may have a lot of similarities shifts our perspective and creates room for kindness and understanding.

19. Learn, practice, and perform a magic trick.

From the bendable spoon to the floating card trick, learning magic tricks takes practice. But, when magic works, it's the best.

20 Learn, practice, and tell three new jokes.

Everyone is going to need to laugh in the coming days of social distancing. Here are some jokes to get them started.

21. Use household materials to make and play stringed, percussion, and wind instruments.

Making instruments can be as easy as banging on a pot with a spoon, or you can try out these other ways to make instruments out of household goods.

22. Learn to shine a pair of shoes.

Shining shoes used to be more common when people wore sneakers only to do exercise, but it's important to take care of the things you own.

23. Collect leaves from ten different (non-harmful) plants. Sort them by size, color, and texture.

Go outside and find ten different leaves and then compare them!

24. Put your favorite book, toy, and keepsake on a small table in sunlight. Draw or paint a full color still life.

This is a great way to express your love for something. For a variation on this, try out different ways to paint the still life "like" a famous artist.

25. Find, pick, and dissect a flower.

Think and act like a scientist when you choose a flower and carefully take apart its parts. Not sure what every part is? Check out this site to learn more about dissecting a flower.

26. If you have stairs, walk up and count them. Walk down and count by twos. Walk up and count by threes. Continue through tens.

This simple math practice trick gets kids thinking about numbers and exercising!

27. Determine the volumes of ten containers, them display them in order on your porch.

Not sure how to determine volume? Learn more about measuring volume here.

28. Write a poem on your sidewalk using chalk.

Writing poetry is freeing because there aren't a lot of rules. Or you can establish a rule and see how different people think about it. For example, write a poem about snow without using the words white or cold.

29. Classify twenty everyday objects by shape, size, color, height, mass, and material.

Learning how to classify and organize things is a skill that's helpful for reading, math, science, and history. In other words-everything.

30. Measure the length of your bed using five different nonstandard units.

My bed is 126 pieces of sea glass long, how long is yours?

31. Call a person who speaks a language you do not. Ask them to teach you five common words or phrases.

If you can't do this, change your tv shows to a different language and try to figure out what is happening.

32. Create and use a secret code.

In #7, we worked with Morse Code, now make up your own code. Send people messages in code, have them figure it out, and write back!

33. Using one type of paper (constant), build three different paper airplanes (independent variable) and test to see how far they fly (dependent variable).

34. Set a clock three hours and seven minutes ahead. Whenever someone needs to know the time, help them figure it out by subtracting.

This is both irritating and totally fun. Maybe -3 hrs 07 min can be your new family time zone!

35. Write down every adjective you say for one full day.

Depending on how much your child talks during the day, this might take a while.

36. Color in a map with every state you (or your family) ever visited.

Not only is it important to know where all the states are located, but this is a great way to set travel goals. Try this map for a digital one.

37. Write or tell a story titled "What if humans had to leave the Earth and no one remembered to turn off the last robot?"

Try using some read alouds like The Wild Robot by Peter Brown as a jumping off point.

38. Find ten rocks smaller than a dime.

Kids have the best eyes for this kind of thing. Give them each a dime so they can compare and an old yogurt container to hold the rocks.

39. Using paper, tape, and string, design, build, and test a device that warns you when someone opens the kitchen cabinet.

Developing ideas that can be helpful for human beings is one of the best skills we can develop in kids. If you want to dig a little deeper, teach them about engineering design to help them plan and execute.

40. Imagine, create, and fly a full size flag that tells the world about you.

Everyone deserves to fly their own flag. Talk to kids about symbols and give them the creative stuff they need create their own flag: markers, crayons, paper, fabric, glitter, glue.
There's going to be a lot of time to fill in the coming weeks, but no one needs to be bored. We hope these ideas give you lots to think about. We'd love to hear about other things to do during COVID closures, too! Please share in the comments. Plus, more hands-on activities kids can do at home.

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This Principal's List of Things to Do During COVID Closures Is Going Viral for All the Right Reasons

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Kim Jones McClelland, a principal in our Principal Life group on Facebook, shared these brilliant ideas for things to do during COVID closures that is now going viral, for good reason! These low-tech kid activities are great for elementary kids (although I know some middle schoolers who could learn a lot from #4!).

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The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to teachers for use with their students from grades 3 and up.

Current Problems

Subscribe Now!

Information for Teachers

Problems are organized into themes. A problem may have more than one theme.

These problems may be used in a variety of different ways including:

posting the problems in a classroom,

discussing the problems with students, and

integrating the problems into the curriculum.

We know that teachers will use these problems in many creative ways!

Solutions to the problems will be sent out to teachers one week after the problems are e-mailed.

Problems & Solutions from 2023-2024

Problem and Solution Archive

The following table has links to booklets containing all the problems and solutions from particular years. The problems are organized into themes, grouping problems into various areas of the curriculum. A problem often appears in multiple themes.

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Design - Graphics, University of Waterloo

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The CEMC has become Canada's largest and most recognized outreach organization for promoting and creating activities and materials in mathematics and computer science.

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A home for curious mathematical minds. For ages 10-16 anywhere in the world. 100% free. Live interactive Maths Circles and puzzle sheets every week.

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Achieve the Core: Instructional Practice Guide

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Achieve the Core: Instructional Practice Guide

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See the features and benefits of the Google Classroom™ integration with Realize; you can manage all of your classes, assignments, and students from Savvas Realize, and everything will seamlessly integrate with your Google Classroom account.

10 ITEMS

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See the features and benefits of the Google Classroom™ integration with Realize; you can manage all of your classes, assignments, and students from Savvas Realize, and everything will seamlessly integrate with your Google Classroom account. 10 ITEMS

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These websites, apps and magazines showcase the incredible breadth and beauty of mathematics.

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These virtual math manipulatives support teachers to model abstract mathematical concepts for deeper student comprehension. Similar to manipulatives that have been used for decades by teachers in classrooms, these online math manipulatives for elementary school classrooms offer numerous advantages while retaining the benefits of the classic manipulatives. According to Moyer, Niezgoda, and Stanley (2005):

"Virtual manipulatives are uniquely suited for teaching mathematics with young children. A Web connection makes them free of charge and easily available. Some virtual manipulatives have the potential for alteration. For example, users can color parts of objects; they can mark the sides of a polygon or highlight the faces on a Platonic solid. This interactivity allows all children to be engaged in the problem-solving process. Some virtual manipulatives link symbolic and iconic notations by saving numerical information or providing mathematics notations that label the on-screen objects. The click of the mouse on many virtual manipulatives gives children access to unlimited materials. And clean up is easy - children simply click an icon and the onscreen objects disappear."

Our online manipulatives include an interactive clock, two color counters, 3D dice, probability spinners, graph builders, fraction bars, base ten blocks, and more! We also recommend some of our art activities that can be used as teaching manipulatives, such as Cube or Build that allow kids to make designs using blocks to learn concepts like area, perimeter, or volume or Mirror to teach symmetry to early learners.

Toy Theater is trusted by teachers around the world to provide safe and effective online educational activities. Free to use, priceless for teaching.

Moyer, P. S., Niezgoda, D., & Stanley, J. (2005). Young children's use of virtual manipulatives and other forms of mathematical representations. Technology-supported mathematics learning environments, 67, 17-34.

Visit classplayground.com for Printables and more information about Manipulatives.

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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! Trusted by teachers around the world. Free to use, priceless for teaching.

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“Shuffle” before clicking a card

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… efforts to intensify attention to the traditional mathematics curriculum do not necessarily lead to increased competency with quantitative data and numbers. While perhaps surprising to many in the public, this conclusion follows from a simple recognition that is, unlike mathematics, numeracy does not so much lead upwards in an ascending pursuit of abstraction as it moves outward toward an ever richer engagement with life’s diverse contexts and situations.

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Grades K-4

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With my departure from BVSD, the Screeners have undergone a significant revision process using the ideas gathered from the many teachers who have communicated with me over the years and the new things we have learned from our students. At the new site you will also find a series of slideshows that are designed to support assessing remotely.

I look forward to continuing and growing this project with math educators everywhere.

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With my departure from BVSD, the Screeners have undergone a significant revision process using the ideas gathered from the many teachers who have communicated with me over the years and the new things we have learned from our students. At the new site you will also find a series of slideshows that are designed to support assessing remotely.

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Resources for Home

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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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Classroom Videos to Support Professional Learning

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Classroom Videos to Support Professional Learning

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Achievethecore.org :: Engage - Instructional Practice Toolkit (IPT) & Classroom Videos

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Professional learning module to support understanding of planning and instruction aligned to college- and career-ready (CCR) standards for ELA/literacy through the observation of a lesson and analysis of a lesson plan and student work samples.

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The progression videos are a series of videos that show how math concepts build and grow through the grade levels. Here is a post that gives a "behind the scenes" of what it takes to make the videos.

Click on the image below to watch the progression video and download the resources.

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Warm-Up Routine:                  My Favorite No 

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Warm-Up Routine:                  My Favorite No 

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Jan 21 Webinar video 1 (My Favorite No Video Slide 19)

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Response to Intervention | RTI | RTI Resources | Intervention Central

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Intervention Central is the leading resource for Response to Intervention (RTI) tools and resources, including academic and behavior interventions for classroom management.

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National Library of Virtual Manipulatives

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A digital library containing Java applets and activities for K-12 mathematics

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Free virtual manipulatives for schools ideal for Interactive white board

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Visnos demonstrations page - free activities to explore mathematical concepts using virtual manipulatives. Online math activities using fractions, decimals, percentages, multiplication tables, division, telling the time, angles, polygons, factors and multiples.

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Students

You can enjoy our Primary and Secondary Games and Puzzles for the Summer of 2021,
and other thought-provoking

Your Solutions

See if your solutions to our recent problems have been published
Primary
Secondary

For regular updates, sign up for our Newsletter

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NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning

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You can enjoy our Primary and Secondary Games and Puzzles for the Summer of 2021, and other thought-provoking See if your solutions to our recent problems have been published Primary Secondary For regular updates, sign up for our Newsletter

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Tools 4 NC Teachers | Math Science Partnership Grant Website

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Choose your own maths adventure with our interactive tools that allow you to build a custom playlist of inspirational activities!

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This website includes a variety of short documents that illustrate important progressions of concepts, strategies, and models that student engage with when looking at different concepts in the elementary and middle grades.

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If we want our students to think, we need to give them something to think about-something that will not only require thinking but also encourage thinking. In mathematics, this comes in the form of a task, and having the right task is important. The research revealed that we have to give thinking tasks .

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These problems are different than typical multiple-choice problems, because the exact answer is NOT one of the choices. The goal is for students to choose an answer that is as close to the exact answer as possible. Because the exact answer is not listed, using a series of memorized series of steps is not particularly productive.

The power of using these problems comes in the discussion of students' reasoning as they justify their responses. This routine is powerful for helping students estimate and justify the reasonableness of a solution. You can use one or two of these problems when you have short bits of time.

Click any image below to read teachers' reactions on Twitter.

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These problems are different than typical multiple-choice problems, because the exact answer is NOT one of the choices. The goal is for students to choose an answer that is as close to the exact answer as possible. Because the exact answer is not listed, using a series of memorized series of steps is not particularly productive.

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free math posters ::||:: PRINTABLE ::||:: free math charts

Over 270 free printable math posters or maths charts suitable for interactive whiteboards, classroom displays, math walls, display boards, student handouts, homework help, concept introduction and consolidation and other math reference needs.

DOWNLOAD PDFs
For each area listed below.

Mathematical areas covered include Numbers, Operations on Numbers, Fractions, Decimals, Percent/Percentages, Ratios and Rates, Beginning Algebra, Data and Statistics, Probability, Geometry, Measurement, Time, Symbols & Notation, Money and Blackline Masters.

Click on the Download PDF links below to see the charts for each area.

© Jenny Eather. All rights reserved.
From

First numbers
First ordinals
Ordinals Hundreds Chart
Numbers 1-10 Australian Animals
Numbers 1-10 Counters
Numbers 11-20 Counters
Hundreds Chart
Two Hundred Chart
Number Lines
Skip Counting by 2s
Skip Counting by 5s
Skip Counting by 10s
Odd and even numbers
Prime and composite numbers
Negative and positive numbers
Square numbers
Triangular numbers
Roman Numerals
Number Sequences
Types of numbers, classifying numbers (natural, whole, integers, rationals, irrationals)
Place Value
Reading large numbers
Expanding numbers, expanded notation
Rounding Hundreds Chart
Rounding numbers 1
Rounding numbers 2
Rounding examples
Integers, Operations on Integers

Addition and Subtraction
Addition 1 - horizontal
Addition 2 - vertical with and without trading, borrowing or carrying
Subtraction 1- horizontal
Subtraction 2- vertical with and without trading, borrowing or carrying
Addition and Subtraction Strategies
* Count on, count back
* Doubles and near doubles
* Extensions
* Inverse operations
* Jump strategy
* Split strategy, partitioning
* Reordering (commutative property)
* Compensation and change methods
* Rainbow Facts
Addition table to 20
Subtraction table to 20
Addition properties
Multiplication and Division
Multiplication1 - horizontal
Multiplication 2 - vertical with and without trading, borrowing or carrying
Division 1 - horizontal
Division 2 - vertical with and without trading, borrowing or carrying
Multiplication and Division Strategies
* Using groups and arrays
* Inverse operations
* Extensions
* Split strategy, partitioning
* Area model of multiplication (partial products)
* Reordering (commutative property)
Multiplication Chart
Times Tables
Multiples and Lowest Common Multiple (LCM)
Factors and HCF or GCF
Prime factors and HCF or GCF
HCF/GCF calculator
(HCF: Highest Common Factor, GCF: Greatest Common Factor)
Divisibility Rules
Long multiplication
Long division
General
Key Words ... that indicate + - x ÷ operations
Problem Solving
Fact Families
Order of Operations
Operations Properties
Operations on positive and negative numbers

Percent, percentage
Percentages and amounts
Sales tax
Discounts and markdowns
Simple interest
Calculating profit and loss
Percentages, decimals, fractions
Percentages, decimals, fractions ... conversions
Percentage error
Percentage change
Percentage points, basis points

Ratios
Problem solving with ratios
Rates
Equivalent ratios and rates

Collecting data
* Statistics - data types
* Population and sample
* Tally, score and frequency
Organising data
* Types of graphs
* Bar graph, bar chart, column graph
* Box-and-whisker plot, box plot
* Conversion graph
* Cumulative frequency graph
* Divided bar graph
* Dot plot
* Frequency table, histogram
* Line graph
* Picture graph, pictogram
* Pie graph or sector graph, pie chart
* Scatter plot or scatter diagram
* Stem-and-leaf plot
* Step graph
* Travel graph
Analysing data
* Mean, median, mode
* Range
* Outlier

Probability
Probability Range, Probability Line
Probability terminology, e.g. experiment, trial, outcome, event
Sample space
Tree diagrams
Counting or multiplication principle

2D Shapes (plane shapes)
* First plane shapes
* Basic plane shapes
* Circle terminology
* Square
* Polygons
* Classifying polygons (simple,complex, regular, irregular, covex, concave)
* Regular polygons (sides, vertices, angles, lines of symmetry, order of symmetry)
* Triangles
* Quadrilaterals
* Diagonals
* Area
* Perimeter
* Symmetry - reflective and rotational symmetry
* Tessellations, tilings
* Transformations - reflection, translation, rotation, dilation OR flip, slide, turn, zoom
3D Shapes (solid shapes)
* First solids
* Basic solids
* Sphere
* Cube
* Cone
* Cylinder
* Prisms
* Pyramids
* Platonic solids
* Faces, edges, vertices, nets
* Views, cross-sections
* Surface area and volume
Lines
Angles
* Angles
* Angle Pairs
* Measuring angles
Position
* First position words
* Coordinates
* Compass points

Note: US charts use US spelling conventions for metric units.
Length
* Length
* Length - metric units
* Length - metric units US
* Length - metric conversions
* Length - metric conversions US
* Length - imperial, US units
* Length - imperial, US conversions
* Perimeter of 2D shapes
Area
* Area
* Area - metric units
* Area - metric units US
* Area - metric conversions
* Area - metric conversions US
* Area - imperial, US units
* Area - imperial, US conversions
* Area of 2D shapes
* Surface area of 3D shapes
Mass
* Mass
* Mass - metric units
* Mass - metric conversions
* Mass - imperial, US units
* Mass - imperial, US conversions
Volume
* Volume
* Volume - metric units
* Volume - metric units US
* Volume - metric conversions
* Volume - metric conversions US
* Volume - imperial, US units
* Volume of 3D shapes
Capacity (Fluid volume)
* Capacity or fluid volume
* Capacity - metric units
* Capacity - metric units US
* Capacity - metric conversions
* Capacity - metric conversions US
* Capacity - imperial, US units
* Capacity - imperial, US conversions
Temperature - Celsius (Centigrade) and Fahrenheit
Measurements Conversion Chart

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multiplication vertical with and without trading

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fractions to decimals to percentages conversions

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decimals to percentages to fractions conversions

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percentages to decimals to fractions conversions

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Free Math Posters : Maths Charts by Jenny Eather : FREE : PRINTABLE

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Over 200 printable maths charts for interactive whiteboards, classroom displays, math walls, student handouts, homework help, concept introduction and consolidation and other math reference needs. © Jenny Eather 2012.

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When parents think about math, they tend to focus on numbers and operations. But there are so many other important aspects of mathematical thinking that need your attention as well. Geometric reasoning, spatial visualization, pattern recognition, sorting by attributes. Fortunately, many of these domains of math are extremely fun to play with!

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The page you are trying to reach does not exist or has been moved. You can either search for the item you are looking for or go to our home page.

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How might we foster a community of learners where everyone bravely and fiercely seeks feedback?

I was at EduCon in Philadelphia when this tweet arrived last week.

Am I showing enough work? How do I know? What if we partner, students and teachers, to seek feedback, clarity, and guidance?

Success inspires success.

Yesterday, I dropped by Kato 's classroom to work on the next math assessment and found our learners working together to apply math and to improve communication.

Now, I was just sneaking in to drop off and pick up papers. But, how could I turn down requests for feedback?

Here's the #showyourwork #LL2LU progression in the classroom:

Grade 4

Level 4
I can show more than one way to find a solution to the problem.

Level 3
I can describe or illustrate how I arrived at a solution in a way that the reader understands without talking to me.

Level 2
I can find a correct solution to the problem.

Level 1
I can ask questions to help me work toward a solution to the problem.

And here's one child and her work. "Ms. Gough, will you look at my work? Can you understand it without asking me questions? Is is clear to you?"

I see connected words, pictures, and numbers. I like the color coding for the different size bags. I appreciate reading the sentences that explain the numbers and her thinking. I also witnessed this young learner improve her work and her thinking while watching me read her work. She knew what she wanted to add, because she wished I knew why she made the final choice. I'd call this Level 4 work.

What if we foster a community of learners who bravely and fiercely seek feedback?

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How might we foster a community of learners where everyone bravely and fiercely seeks feedback? I was at EduCon in Philadelphia when this tweet arrived last week. Am I showing enough work? How do I know? What if we partner, students and teachers, to seek feedback, clarity, and guidance?

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Encouraging Student Self-Reflection - Math Coach’s Corner

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Encouraging Student Self-Reflection - Math Coach’s Corner

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Student self-reflection and growth mindset go hand-in-hand. Model and teach reflection strategies, and reinforce with visual reminders.

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Resources We Love Need some new ideas for your classroom or to share with caregivers? Check out videos of some of our favorite math games and also virtual lesson examples. Early Numeracy Math in PK and Kindergarten is critical! Check out our videos to add some new engaging activities to your classroom or home.

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Flippity.net: Flashcards and Other Resources for Educators and Learners

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Create an interactive virtual breakout activity.

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These English playing cards have Puzzles of the Week (POW) selected from levels A, B, and C. The corresponding Spanish playing cards are on this website page.The POW PDFs have more information about each puzzle. Get individual PDFs by clicking on a card image.

We have a Google slide deck and PowerPoint slide deck for these cards and puzzles. These slides have links to the corresponding individual POW PDFs, as well as hints and ideas for how to discuss the puzzles with your classes.

FEEDBACK: If you have one of these decks, or if you read the Card Fronts below, we would love to hear your thoughts. Please take our short, seven-question survey - thank you!

Future Orders: If you think you might be interested in putting in an order in the future, please indicate your interest on this form.

MORE INFORMATION: Please contact us to get more information.

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These English playing cards have Puzzles of the Week (POW) selected from levels A, B, and C. The corresponding Spanish playing cards are on this website page.The POW PDFs have more information about each puzzle. Get individual PDFs by clicking on a card image.

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Clothesline Math has been a growing trend in mathematics education. I saw Andrew Stadel give a talk on it (back in 2015), however it was geared toward middle school and high school math. My mind, never shutting off, was pondering how to make it fit for my elementary teachers. And in my research, there aren't many elementary clothesline cards out there.

Clotheslines become interactive number lines. Students are able to manipulate cards to show proportional reasoning, precision, equality between numbers, and magnitude. The clothesline builds students' number sense. It's a routine that can work from kindergarten through high school.

Each set of cards has been designed to have equal cards as well as multiple representations. They are all PDF files.

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Clothesline Math has been a growing trend in mathematics education. I saw Andrew Stadel give a talk on it (back in 2015), however it was geared toward middle school and high school math. My mind, never shutting off, was pondering how to make it fit for my elementary teachers.

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MathsStarters is a collection of activities for the start, middle or end of maths lessons. Each activity can be used over and over with a new set of numbers each time.

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Thank you for your interest in Exemplars "ready-to-implement" problem-solving tasks. Ready to give one a try with your students? Simply select your grade-level below and download a free sample task, engagement image, lesson planning sheet, and set of student work samples. Looking for even more tasks with differentiated versions?

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Select which combination of cards you want (Large/Small).

The goal is to arrive at the number below (or as close as possible).

You can use the four basic arithmetic operations (+, −, × and ÷) applied to the six numbers.
Each number may be used once.
Based on the TV show "Letters and Numbers", showing on SBS in Australia.
Instructions fromWikipedia.
Thissolver allows you to enter the card numbers and find a solution.

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The Numbers Game from Letters and Numbers

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There’s a saying that a picture is worth 1000 words. I have never really tested that theory, however a picture in math class can generate plenty of discussion. (see my post on watermelons).