Illustrative Mathematics
Many Ways to Do Addition
A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson is for young mathematicians to become aware of many ways of answering addition...
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Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.Â
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7.RP Music Companies, Variation 1
We've got the beat! And your musically-minded mathematicians will tap their toes as they determine which music company would be getting a better deal based on their offers to buy out TunesTown. The topic is extended in an additional task...
MARS - Mathematics Assessment Resource Service
Applying Properties of Exponents
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive activity begins with a pre-assessment task to check for prior knowledge and then goes into a...
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
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Integer Solutions to Inequality
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
Illustrative Mathematics
Interpreting a Division Computation
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Illustrative Mathematics
Comparing Two Different Pizzas
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...
Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Illustrative Mathematics
Explaining Fraction Equivalence with Picture
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...
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
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Activity: An Experiment with Dice
Roll the dice with this activity and teach young mathematicians about probability. Record outcomes for rolling two number cubes in order to determine what is most likely to happen. Graph the data and investigate patterns in the results,...
Illustrative Mathematics
The Napping House
How many people and animals can cram into a single bed? Find out with this cross-curricular math and language arts lesson. Following along with a reading of the children's book The Napping House by Audrey Wood, young mathematicians add...
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Distances Between Houses
This resource sneaks in the math so your learners will be adding and subtracting positive and negatives on a number line while thinking they are mapping out houses. The activity starts by putting houses the appropriate distance away from...
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Valentine Marbles
if you've ever had to guess how many items were in a jar, then this problem is for you! With a big jar full of red and white marbles, does picking a sample of 16 allow your learners to get a good estimate on the percentages of each...
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Measuring the Area of a Circle
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
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Repeating Decimal as Approximation
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
Curated OER
Rolling Twice
Rolling dice is the best way to show your learners how probability comes in to play. Although this lesson does not specify an activity, your mathematicians can try this probability with real dice to calculate their experimental...
Illustrative Mathematics
Which Number is Greater? Which Number is Less? How do you Know?
When comparing groups of objects, it's easy for children to identify which has more, but it's not so easy for them to explain their reasoning. This simple whole-group activity provides multiple opportunities for learners to compare...
Illustrative Mathematics
Counting Squares
Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...
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