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Browse through over 60 complete K-12 math units of study chalked full of problem based investigations, 3 act math tasks, visual number talks, consolidation prompts and purposeful practice worksheets to Spark Curiosity & Fuel Sensemaking in every student.

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Real World Math Lessons | 3 Act Math Tasks | Math Worksheets & Practice

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Contextual problem based real world math lessons with rich math tasks, multi-day 3 act math tasks, math practice materials and math worksheets

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Check out our latest knowledge articles that share NASA STEM content including activities, games, videos, educator guides, teacher toolkits, and much more.

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This tab and all the pages under it include tasks I use in my classes. If your just starting out on the journey towards using rich tasks in your classroom, I've written about the process here.

As I create and/or find tasks, I'll file them under one of the headings below. If the heading is a hyperlink, then something's in there. If not...

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This tab and all the pages under it include tasks I use in my classes. If your just starting out on the journey towards using rich tasks in your classroom, I've written about the process here. As I create and/or find tasks, I'll file them under one of the headings below.

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Want to learn more? Take the free workshop. All 3rd 4th 5th 6th 7th 8th Alg 1 Geom Alg 2 Stat Calc Water Leak Will service arrive in time?Car Ramp How far did the ca…

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

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Note: This curriculum is based on a schedule with 50 minute classes. In addition, I'm a believer in having a flexible pace because I think teachers should have discretion when determining how much time to focus on concepts. So, if your students need extra time with solving equations, for example, then spend extra days with them. This curriculum is definitely not one size fits all, and I actually go at a different pace each year. Please feel free to use it as a guide, but certainly do not feel like you're doing something wrong if you don't follow it day by day.

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Note: This curriculum is based on a schedule with 50 minute classes. In addition, I'm a believer in having a flexible pace because I think teachers should have discretion when determining how much time to focus on concepts. So, if your students need extra time with solving equations, for example, then spend extra days with them....

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We think that this is a very good time to wish for peace. Above is a picture of the wreath that I made for this winter's season. Do you know this symbol? Where did it originate? Do you ever use a different symbol for peace (for instance, sideways "V"s)?

In this activity students learn about the semaphore flag symbols and how this peace symbol was first designed. They design their own symbol and try to figure out how many possibilities there are in this kind of communication.

The activity: PeaceSymbol.pdf

How should I cook my turkey? - Students judge timing, cost, tastiness, and quantity necessary as they plan for the feast. 4.MD, 5.NBT, 4.MD, 6.RP, 6.NS, 7.NS + Great video on a deep frying fire with William Shatner.

Shopping season already! - Students will be able to add some understanding and analysis to holiday shopping trips after calculating savings in dollars and percents with this timely investigation. 6.RP, 7.EE, 7.EE

Not enough mashed potatoes - Use Brian's famous mashed potatoes recipe to practice changing decimals to fractions; calculating ingredient measure for various-sized Thanksgiving servings; have students explain their reasoning; and to have students figure out how many servings 7½ pounds of potatoes would make. 5.NF, 6.RP, 7.RP

Consumers in the U.S. spend a lot of money. In this activity we look at historical data to see if there are any patterns in our spending. How does our holiday spending show up in these graphs? What accounts for spikes or drops in spending? What patterns do you notice? Which patterns will likely continue and which patterns won't? Let the class see, think, wonder and discuss in this timely activity.

Soo Yeon is a Mathematics teacher at an international school in Asia and has be an avid user of YummyMath. Formerly she was a chemical engineer and shares our intent of providing practical, relatable, and real-world contexts in teaching mathematics.

She would like to share the following with YummyMath users:

"As you know Leslie and Brian's hard work and vision of exploring math in real life contexts has been instrumental in helping students develop critical thinking, questioning skills, and a positive attitude towards Mathematics. I wholeheartedly share their vision and am dedicated to upholding their mission. Moving forward, YummyMath will continue to evolve, enhancing content and user experiences to better meet your needs both now and in the future. I understand the challenges teachers and parents face in balancing engaging activities with time management. To address this, I kindly request your input through a survey ( ) to ensure that YummyMath effectively supports your needs.

Thanks so much for your support as YummyMath starts this new chapter. "

In this activity, students work through the nomenclature to understand the possibilities of nano science and quantum dots. Questions that are answered; How many nanometers are in a millimeter? What is a semiconductor? What and why does this nano technology increase our ability to closely examine, understand and modify our tools?

The activity: Quantum-dot.pdf

On Veterans Day we honor the men and women that have served in the Armed Forces of the United States. There are now 16.2 million living veterans. We found these maps that show where veterans live in the U.S.

What do you notice and what do you wonder when seeing these maps?

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We think that this is a very good time to wish for peace. Above is a picture of the wreath that I made for this winter's season. Do you know this symbol? Where did it originate? Do you ever use a different symbol for peace (for instance, sideways "V"s)?

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My growing list of free real world problem-based lessons for grades 2 through high school. Includes links to download multimedia and teacher guide.

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WODB

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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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Classroom Resources - National Council of Teachers of Mathematics

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

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In our six module (16 week) online workshop you'll learn how to build and adjust your own lessons that engage students, build deeper understanding of math, and promote resilience in problem solving.

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Making Math Moments That Matter - Make Math Moments

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Working with Jon & Kyle changed my perspective so that I now see math in the world around me and I can bring it into my classroom. The practical classroom-ready resources they share frees me from feeling chained to the textbook everyday.

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Defined Learning - The Authority on Applied Learning

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Authentic, curriculum-friendly projects to promote equality and generate excitement in real career pathways.

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Click on a pattern to see a larger image and the answer to step 43. What is the equation?

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Here you will find lesson handouts for lessons and links to other resources. Lesson plans and answer keys are available to Members of the MPJ Network by clicking on the icon to the right. Lifetime Memberships and our ebook MPJ's Ultimate Math Lessons are available here.

RATIO & PROPORTION

Concept of Ratio
CC SMC 6.RP.1, 3a

Solve Problems
Reasoning Quantitatively
Using Tools
CC SMP 1, 2, 5

Apply Ratio and Percentages
CC SMC 6.RP.1, 3c

NUMBER SYSTEMS

Dividing Fractions
CC SMC 6.NS.1

Reasoning Quantitatively
Using Tools
Recognizing Patterns
CC SMP 2, 5, 8

Review of Adding/Multiplying Fractions

EXPRESSIONS & EQUATIONS

Order of Operations with Exponents
prelude to CC SMC 6.EE.1

Recognizing Quantities within an Expression
CC SMC 6.EE.2

Reasoning Quantitatively
CC SMP 2b

Identify and generate Equivalent Expressions
CC SMC 6.EE.2, 3, 4

Reasoning Quantitatively
Modeling
Seeing Structure
CC SMP 2, 4, 7

Writing and Solving 1-Step Equations
CC SMC 6.EE.5-7

Writing & Graphing Inequalities
CC SMC 6.EE.8

Writing and Solving Equations (1-, 2-, and Multi-Step)
CC SMC 6.EE.9

STATISTICS

How Tall Are We? (to be published)

Unit Encompassing all of 6th Grade Statistics
CC SMC 6.SP.1-5

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Here you will find lesson handouts for MPJ lessons and links to other resources. Lesson plans and answer keys are available to Members of the MPJ Network by clicking on the icon to the right. Lifetime Memberships and our ebook MPJ's Ultimate Math Lessons are available here.

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Open Up Resources by Illustrative Mathematics

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Open Up Resources by Illustrative Mathematics

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Open Up Resources 6-8 Mathematics | Curriculum Access

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Teacher materials are now available for 1st editions of OUR K-5 Math and Bookworms.

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This month's theme, moderated by Joni Falk, will focus on STEM teacher leadership opportunities. Be sure to view the webinar recording, read the intro blog, join the online discussion & browse related resources

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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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The Mathematics Assessment Project is part of the Math Design Collaborative initiated by the Bill & Melinda Gates Foundation. The project set out to design and develop well-engineered tools for formative and summative assessment that expose students' mathematical knowledge and reasoning, helping teachers guide them towards improvement and monitor progress. The tools are relevant to any curriculum that seeks to deepen students' understanding of mathematical concepts and develop their ability to apply that knowledge to non-routine problems.

More about the Math Assessment Project

100 lessons for formative assessment, some focused on developing math concepts, others on solving non-routine problems. A Brief Guide for teachers and administrators (PDF) is recommended reading before using these lessons for the first time.

A set of 94 exemplar summative assessment tasks to illustrate the range of performance goals required by CCSSM. The tasks come with scoring rubrics and examples of scored student work.

Complete summative test forms and rubrics designed to help teachers and students monitor their progress using a range of task types similar to the 'Tasks' section.

5 Prototype modules that encourage groups of teachers to explore the practical and pedagogical concepts behind the materials, such as formative assessment, collaborative learning and the use of unstructured problems.

The Teaching for Robust Understanding of Mathematics (TRU Math) suite is a set of tools with applications in Professional Development and research based around a framework for characterizing powerful learning environments.

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The Mathematics Assessment Project is part of the Math Design Collaborative initiated by the Bill & Melinda Gates Foundation. The project set out to design and develop well-engineered tools for formative and summative assessment that expose students' mathematical knowledge and reasoning, helping teachers guide them towards improvement and monitor progress.

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Partially funded by the Educational Advancement Foundation through a 2011 AIBL Small Grants, Category 2 grant, "Calculus I and II - Concepts and Applications", we have written a complete set of student-centered, in-class activities for a year-long Calculus I and Calculus II sequence, accompanied by instructor support materials.

The Calculus I and II courses that we teach at Rockhurst University are introductory, first-year courses (with typical, non-proof-based differential and integral calculus content) designed to build strong conceptual understanding, critical reasoning, and problem solving abilities in a diverse population of STEM and business students. We believe that these students are best served by developing their ability to independently reason from a deep understanding of calculus concepts to answer novel questions in any discipline (including math).

In order to help our students achieve this goal we have written a set of student-centered, in-class activities that actively engage students on a daily basis in discovering concepts, connecting their discoveries with their own prior understanding, conjecturing and experimenting to further their understanding, applying concepts to solve both purely mathematical and real world problems, and always communicating their understanding (in both written and oral forms). These in-class activities are comprised of a series of carefully scaffolded questions that prompt extensive student investigation (individually or in small groups), preceding full-class discussion and consensus-building. Often these questions begin in an applied setting (where students are typically more comfortable experimenting and conjecturing), and as the activity progresses students are asked to generalize their understanding to more abstract situations. In addition, questions require students to move between different representations (numerical, graphical, and analytical), deepening their understanding of the concepts. Although as instructors we often bring the class together to discuss results, review understanding, or motivate the next activity, there is no need for us to ever lecture on content as students discover all content in the context of these in-class activities.

Our Calculus I course covers standard rate of change topics, building to instantaneous rate of change from average rate of change (including differentiation rules) and applying these concepts to solve typical optimization and related rates problems. In addition, we develop an understanding of differential equations, learn to build differential equation models and use numerical methods and some basic antiderivatives to estimate or find solutions.

Our Calculus II course begins with an initial study of sequences and series as an introduction to infinite sums. The definite integral is then developed from Riemann sums/integrals and students are asked to compare and contrast these two different types of infinite sums. Fundamental Theorems of Calculus, power series (including Taylor series) and standard techniques of integration are covered. In addition, probability and statistics, area and volume and total change are utilized as applications throughout.

: If you would like to be kept up-to-date on our new curricular materials (including those for other courses) or assessment projects, please send a note to mairead.greene@ nuigalway.ie . We look forward to hearing from you!

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Partially funded by the Educational Advancement Foundation through a 2011 AIBL Small Grants, Category 2 grant, "Calculus I and II - Concepts and Applications", we have written a complete set of student-centered, in-class activities for a year-long Calculus I and Calculus II sequence, accompanied by instructor support materials.

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"CueThink brought a sense of community to my classroom through seeing and responding to each other's work. My students had a lot more accountability, pride and confidence as math thinkers. I had them thinking deeply, and by partnering them up, it enabled my students to develop their team building skills. I got my students to love math! "

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"CueThink brought a sense of community to my classroom through seeing and responding to each other's work. My students had a lot more accountability, pride and confidence as math thinkers. I had them thinking deeply, and by partnering them up, it enabled my students to develop their team building skills.

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What IBL can look like...

Creating an IBL Community

In Students' Own Words

Perhaps the best way to understand the depth and powerful impact of our project is to hear what the students have to say about their experiences.

Student Quotes - The quotations at right are typical of written responses received as part of student journals, essays and reflections. Many more student quotes can be found in our quote library "

Student Interviews - Conducted as part of end of semester activities, videos help you see and feel the transformative impact of the experience on students.

View More Videos "

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Perhaps the best way to understand the depth and powerful impact of our project is to hear what the students have to say about their experiences. Student Quotes - The quotations at right are typical of written responses received as part of student journals, essays and reflections.

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The following Problem Based Learning (PrBL) curriculum maps are based on the Math Common Core State Standards and the associated scope and sequences. The problems and tasks have been scoured from thoughtful math bloggers who have advanced our practice by posting their materials online.

The Scope and Sequences for Algebra 1, Geometry, Algebra 2, Math 9 (Integrated), Math 10 (Integrated), and Math 11 (Integrated) are from Pearson. Other Scope and Sequences were developed by me, modeling a similar visual style.
Grade 3 CCSS PrBL Curriculum Map Grade 4 CCSS PrBL Curriculum Map Grade 5 CCSS PrBL Curriculum Map Grade 6 CCSS PrBL Curriculum Map Grade 7 CCSS PrBL Curriculum Map Grade 8 CCSS PrBL Curriculum Map Math 9 (Integrated) CCSS PrBL Curriculum Map Math 10 (Integrated) CCSS PrBL Curriculum Map Math 11 (Integrated) CCSS PrBL Curriculum Map Algebra 1 CCSS PrBL Curriculum Map Geometry CCSS PrBL Curriculum Map Algebra 2 CCSS PrBL Curriculum Map
Be sure to check back often as these curriculum maps are bound to change when new cool activities are added on math blogs worldwide. I'll be adding more and more curriculum maps in due time. Also, if you have a favorite particular task that isn't here (or just comments in general), let me know in the comments!

For more on Problem Based learning, you can check out my previous posts on the topic.

- Geoff

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Common Core Problem Based Curriculum Maps

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The following Problem Based Learning (PrBL) curriculum maps are based on the Math Common Core State Standards and the associated scope and sequences. The problems and tasks have been scoured from thoughtful math bloggers who have advanced our practice by posting their materials online. The Scope and Sequences for Algebra 1, Geometry, Algebra 2, Math...

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Every JRMF puzzle is hands-on, play-based, and standards-aligned. We design our activities to have a low floor so that anyone can find a way to engage and a high ceiling so that everyone can find a meaningful challenge. All of our puzzles come with free festival guides that help you use our activities at home, in the classroom, or during math festivals.

If you're interested in helping us design new activities, join our blog where we post about a new activity idea each week.

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Math puzzles for all ages and skill levels. JRMF puzzles are "low-floor, high-ceiling," meaning students as young as 6 and as old as 100 can find our math fun and challenging. Play them in person with friends, or virtually at home.

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(more critical thinking)

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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS?

HERE'S OUR GROWING COLLECTION

WANT TO SHARE OPEN MIDDLE WITH OTHERS?

CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK

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