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L. Karagozian / Performance & MARS Tasks

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

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

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

Finding a Lesson

There are several ways of navigating:

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

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

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

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

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Our summative tasks are divided into three classes - Novice, Apprentice and Expert. This is not a measurement of the difficulty of the content, but indicates the extent to which they require students to autonomously apply their mathematical knowledge: Novice tasks explicitly test particular items of content knowledge, Expert tasks are far less structured and require strategic problem-solving skills in addition to content knowledge. A “balanced diet” of Novice, Apprentice and Expert tasks is needed to properly assess the Mathematical Practices.

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Better Buy [Day 1] | Calculating Rates or "Unit Rates" | Financial Literacy

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Calculate Rates or "Unit Rates" using strategies and models with ratio and rate reasoning to determine which store has the better buy.

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Planting Flowers | Ratios and Rates | 5-Day Problem Based Math Unit

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Dive into this 5-Day Make Math Moments Unit filled with Problem Based Math Lessons focused on exploring both types of ratios.

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Hot Chocolate | 6-Day Problem Based Math Unit | Explore Ratios and Rates Contextually

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Engage in a low-floor, high-ceiling series of tasks where students can utilize counting, addition, multiplication, division and ratios and rates.

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Pizza Party | Dividing Fractions | Quotative Division Problem Based Lesson

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Explore quotative division of fractions through the context of servings of pizza at a party in this 3 act math task style problem based lesson

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Download the Task
Watch the Video:

How many times will she be able to jump the rope in 30 seconds? Estimate

Write an estimate you know is too high. Write an estimate you know is too low.

More Accessible Version - Rope Jumper (Act-2B)

Click the link here to find more of My 3-Act Lessons

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Act 1 - Rope Jumper Download the Task Watch the Video: How many times will she be able to jump the rope in 30 seconds? Estimate Write an estimate you know is too high. Write an...

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Download the Task
Watch the Video:

How many times will he be able to clap in 1 minute? Estimate

Write an estimate you know is too high. Write an estimate you know is too low.

When did he start and how many claps? When did he start and how many claps? (differentiation version)
Click the link here to find more of My 3-Act Lessons

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Act 1 - The Clapper Download the Task Watch the Video: How many times will he be able to clap in 1 minute? Estimate Write an estimate you know is too high. Write an estimate yo...

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Download the Task
Watch the Video:

How many times must each wheel turn to make all of the dots line up again? Estimate

Write an estimate you know is too high. Write an estimate you know is too low.

How Many Spurs on Each Wheel
Click the link here to find more of My 3-Act Lessons

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Act 1 - Geared Up Download the Task Watch the Video: How many times must each wheel turn to make all of the dots line up again? Estimate Write an estimate you know is too high. ...

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How many blocks will it take to level out the balance scale? Estimate

Write an estimate you know is too high. Write an estimate you know is too low.

The weight of the apple. The weight of a single cube
Thanks Robert Kaplinsky for the sequel image.
Click the link here to find more of My 3-Act Lessons

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Act 1 - The Apple Download the Task Watch the Video: How many blocks will it take to level out the balance scale? Estimate Write an estimate you know is too high. Write an es...