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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Sort and Count I

For Teachers K - 1st Standards
Young scholars will have fun moving around the room and comparing items using sorting cards. They will become familiar with the math vocabulary more/less/same and most/least.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Number Tic Tac Toe

For Teachers K - 1st Standards
Students will practice number recognition by trying to identify three numbers in a row to win Tic Tac Toe. They will also trace the number on their grid to practicing writing numerals. This is a perfect independent game for pairs or...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Race to the Top

For Teachers K - 1st Standards
Young scholars will practice counting, number identification, and writing numerals in this competitive game. This activity lends itself to many variations.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Start Stop Counting

For Teachers K - 1st
Get your students moving with this fun counting game. Pick any number between one and one hundred and students will practice counting forward or backward with this "Duck Duck Goose" type game.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Bobbie Bear's Buttons

For Teachers K - 1st Standards
The purpose of this task is for students to find different pairs of numbers that sum to 4. Students will solve an everyday problem in their head and then model their solution using counters. They can represent their solutions using...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: What Makes a Teen Number?

For Teachers K - 1st Standards
Learners will learn about teen numbers by understanding the base-ten structure of teen numbers. They will fill-in a 10-frame and a blank equation as they complete the activity. Worksheet included.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Dice Addition 1

For Teachers K - 1st
Students will practice counting, adding, and writing numerals with this activity. This would be an ideal independent activity for centers. An example of student work is included.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Longer and Heavier? Shorter and Heavier?

For Teachers Pre-K - 1st Standards
Learners will compare the length and weight of several pairs of objects to learn that weight and length are separate measurable attributes, and not always related.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Satellite

For Teachers 9th - 10th Standards
This task models a satellite orbiting the Earth in communication with two control stations located miles apart on Earth's surface. Students determine distances between various locations and, given a rate of travel, they determine the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg the Lighthouse Problem

For Teachers 9th - 10th Standards
For this task, students are asked to calculate the height above sea level of a lamp on top of a lighthouse that is visible to a boat, and to examine two other interpretations of the distance from the lighthouse to the boat. Aligns with...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg a Ton of Snow

For Teachers 9th - 10th Standards
In this task, students are asked to find out how much snow has been shoveled using the concepts of area, depth, density, and rate. Aligns with HSG-MG.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Indiana Jones and the Golden Statue

For Teachers 9th - 10th Standards
The goal of this task is to provide an introduction to the sometimes subtle use of density and units related to density, in a simple and fun context with minimal geometric complexity. Includes video showing the opening scene of Raiders...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg, G Gmd Global Positioning System Ii

For Teachers 9th - 10th Standards
Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation Ii

For Teachers 9th - 10th Standards
In this task, learners are given an aluminum soda can and are simply asked how they could determine how thick the can is. Aligns with G-MG.A.1 and G-MG.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation I

For Teachers 9th - 10th Standards
For this task, students are given the dimensions of a soda can and are asked to estimate its thickness. They must first find the surface area and the volume of aluminum. Aligns with G-MG.A.1 and G-MG.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Solar Eclipse

For Teachers 9th - 10th Standards
In this task, students investigate why total solar eclipses are rare. They will learn that, in addition to requiring the positioning of the Sun, Moon, and Earth, the Moon can only completely block out the Sun when it is closest to the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Eratosthenes and the Circumference of the Earth

For Teachers 9th - 10th
For this task, students must investigate an experiment by Eratosthenes where he estimated the circumference of the Earth. It requires collaboration with at least one other school. Aligns with G-MG.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 10th Standards
This task gives students a chance to explore the effects of the Earth's tilt and rotation using a simple geometric model of Earth-Sun interaction that shows why the seasons occur. Aligns with G-MG.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg How Many Leaves on a Tree? (Version 2)

For Teachers 9th - 10th Standards
For this task, students must estimate the number of leaves on a large tree, taking into account various complex factors such as the area shaded by the tree, the area of irregularly shaped leaves, the uneven distribution of leaves, the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg How Many Leaves on a Tree?

For Teachers 9th - 10th Standards
This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree, taking into account the tree size and the density of the leaves. Aligns with...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Running Around a Track Ii

For Teachers 9th - 10th
An Olympic 400 meter track is made up of two straight sides and two semi-circular curves. For this task, students are asked to examine the perimeters of the different runners' tracks and the starting places that must be assigned in order...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Running Around a Track I

For Teachers 9th - 10th
An Olympic track is made up of two straight sides and two semi-circular curves. For this task, students are asked to calculate the perimeters at two places on the first lane and to determine the span of a 400-meter lap. Aligns with G-MG.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg, a Ced Regular Tessellations of the Plane

For Teachers 9th - 10th
This task examines the ways in which a plane can be covered by regular polygons in a regular tessellation arrangement. The problem uses the formula for the measure of the interior angles of a regular polygon and the goal of the task is...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S id.a.3 Identifying Outliers

For Teachers 9th - 10th Standards
In this task, students are asked to construct a box plot of the distances they live from school and describe the main features of the distribution. The purpose of this task is to develop students' understanding of how extreme data points...