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Lesson Plan
Illustrative Mathematics

Using Benchmarks to Compare Fractions

For Teachers 3rd - 5th Standards
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
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Lesson Plan
Illustrative Mathematics

Explaining Fraction Equivalence with Picture

For Teachers 3rd - 5th Standards
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
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Lesson Plan
Illustrative Mathematics

Comparing Two Different Pizzas

For Teachers 3rd - 5th Standards
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
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Lesson Plan
EngageNY

Interpreting Division of a Whole Number by a Fraction—Visual Models

For Teachers 6th Standards
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
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Lesson Plan
EngageNY

Comparing Integers and Other Rational Numbers

For Students 6th Standards
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
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Lesson Plan
Illustrative Mathematics

Which Weighs More? Which Weighs Less?

For Teachers Pre-K - 1st Standards
Expand the the comparative language of young mathematicians with a hand-on weight measurement activity. Working independently or in pairs, children compare the weight of large wooden blocks to various other classroom objects, recording...
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Lesson Plan
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Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, young scholars are asked to determine whether or not one half of each circle is shaded. To...
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Lesson Plan
Illustrative Mathematics

Money in the Piggy Bank

For Teachers 3rd - 5th Standards
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
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Assessment
Noyce Foundation

Cereal

For Teachers 6th - 7th Standards
Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...
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Assessment
EngageNY

Grade 5 Math Module 1: Mid-Module Assessment

For Students 5th Standards
Show the knowledge learned about decimals. A short assessment covers the material presented in the first half of the unit. Pupils demonstrate their knowledge of comparing, rounding, and multiplying and dividing by powers of 10 with...
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Assessment
1
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California Education Partners

Improving Our Schools

For Students 5th Standards
Split the work three ways. Learners use their knowledge of fractions to solve problems dealing with splitting up work loads evenly between three groups. Scholars determine the fractional portion of work each group will do along with...
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Lesson Plan
Curated OER

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
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Assessment
Noyce Foundation

Counters

For Teachers 6th - 7th Standards
For some, probability is a losing proposition. The assessment item requires an understanding of fraction operations, probability, and fair games. Pupils determine the fractional portions of an event. They continue to determine whether...
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Lesson Plan
EngageNY

The Difference Between Theoretical Probabilities and Estimated Probabilities

For Teachers 7th Standards
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
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Lesson Plan
Illustrative Mathematics

Rolling Dice

For Teachers 6th - 8th Standards
Rolling dice is a great way for your mathematicians to get a hands-on approach to probabilities. Use the chart to record whether they rolled a six during ten attempts. Calculate results individually (or in small groups) and then record...
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Assessment
Los Angeles County Office of Education

Assessment For The California Mathematics Standards Grade 4

For Students 4th Standards
Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...
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Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
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Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 5

For Students 5th Standards
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and how to...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
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Assessment
Balanced Assessment

Greater, Lesser, In-Between

For Students 6th - 8th
Goldilocks and the Three Numbers? The pre-activity task involves finding digits to complete decimals or fractions that satisfy given constraints, such as finding a fractions that is in between two others. The main task involves a similar...
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Assessment
Inside Mathematics

Quadrilaterals

For Teachers 9th - 12th Standards
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
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Assessment
1
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Balanced Assessment

Fermi Estimates II

For Students 9th - 12th Standards
How many hot dogs does Fenway Park go through in a year? Learners estimate answers to this question and more as they work through the task. Problems require participants to make assumptions and use those assumptions to make estimations.
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Assessment
Achieve

False Positives

For Students 7th - 10th Standards
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
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Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...

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