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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr: Zeroes & Factorization: Non Polynomial

For Teachers 9th - 10th Standards
The goal of this task is to show via a concrete example that the property of polynomials is not shared by all functions when zero is involved. Aligns with A-APR.B.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Counting by Tens

For Teachers K - 1st Standards
The objective of this lesson is to gain automaticity counting to 100 and to establish the importance of multiples of ten. This activity can be done several times a day as it is quick and requires no materials.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: More and Less Handfuls

For Teachers K - 1st Standards
This is a good small group/pairs activity to practice counting. Each student grabs two handfuls of counters and counts them. The student then draws and records the quantity on a student-recording sheet (example included). Student...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei: How Does the Solution Change?

For Teachers 9th - 10th Standards
The purpose of this task is to ask students to reason about solutions without explicitly solving them to get them to understand what it means for a number to be a solution to an equation. Aligns with A-REI.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei: Braking Distance

For Teachers 9th - 10th
The purpose of this task is to give an application arising from a real-world situation, determining braking distance, in which a quadratic equation arises. In this scenario, it is natural to use a graphical method to find an approximate...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Find the Numbers 0 5 or 5 10

For Teachers K - 1st Standards
This activity helps students practice number identification and is conducive to small groups/centers. Materials needed can be made from index cards and blank wooden cubes. Variations are included to make this activity simpler or harder...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Five by Two

For Teachers K - 1st
This card game reinforces number identification and sequencing and is conducive to small groups/centers. The students will need a deck of playing cards including some of the face cards. Instructions and variations for play are included.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Number Line Up

For Teachers K - 1st Standards
Students will have fun moving around in this counting game. The teacher will create number cards and give one card to each student. Students will need to work together to order themselves in the correct number order. Multiple variations...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Number After Bingo 1 15

For Teachers K - 1st
Students will play this Bingo by covering numbers that "come after" the number shown. Students will take turns drawing a number card, stating the number after and placing his/her counter on that number on the game board. The first...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Counting Circles

For Teachers K - 1st
This active counting game gets the kids up and moving! Students form a circle and start counting around the circle one by one until the last number (chosen ahead of time by the teacher) in the sequence is reached. When the last number is...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Finding Equal Groups

For Teachers K - 1st Standards
This activity will test how quickly students can count objects. The teacher will assemble a variety of groups of objects in a few different forms (examples included). Students will race against the clock to sort the groups of objects...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Ced.2 and G Gmd.4: Global Positioning System I

For Teachers 9th - 10th
This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres. Aligns with A-CED.A.2 and...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Counting Mat

For Teachers Pre-K - 1st Standards
Learners will practice counting and number identification with this activity which can be good for a math center. The teacher gives students the counting mat and many small objects to count with. Learners will read the numbers and...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Goody Bags

For Teachers K - 1st Standards
Students will practice counting with this small group activity - great for math stations! The teacher will pre-fill goodie bags with counting objects. Students count the objects, record the number on the post-it note and stick the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c and a rei.a.1: Products and Reciprocals

For Teachers 9th - 10th
The purpose of this task is to test student skills at converting verbal statements into two algebraic equations and then solving those equations. Aligns with A-REI.A.1 and A-REI.C.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Games at Recess

For Teachers 5th - 7th
Students use ratios to answer three questions based on a specific set of data in this performance task.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Three, Variation 3

For Teachers 5th - 7th
Students use simple ratios to answer the following question: John, Marie, and Will all ran for 6th grade class president. The ratio of votes for John to votes for Will was two to one. Marie got exactly the average number of votes for the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Three, Variation 2

For Teachers 5th - 7th
John, Marie, and Will all ran for 6th grade class president. Of the 36 learners voting, the ratio of votes for John to votes for Will was two to one. Marie got exactly the average number of votes for the three of them. How many more...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Three, Variation 1

For Teachers 5th - 7th
Students use ratio relationships between two quantities to answer three questions in this diagram-based performance task.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Two, Variation 4

For Teachers 5th - 7th
Students use ratio reasoning to solve the following performance task: John and Will ran for 6th grade class president. John got two votes for every vote Will got. It was necessary to get more than half the votes to get elected. What...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Two, Variation 3

For Teachers 5th - 7th
Students use ratios to solve the following performance task: John and Will ran for 6th grade class president. There were 36 students voting. John got two votes for every vote Will got. It was necessary to get more than half the votes to...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Two, Variation 2

For Teachers 5th - 7th
Students use ratios to solve the following performance task: John and Will ran for 6th grade class president. There were 36 students voting. John got two votes for every vote Will got. How many more votes did John get than Will?
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Voting for Two, Variation 1

For Teachers 5th - 7th
John and Will ran for 6th grade class president. There were 36 students voting. John got two votes for every vote Will got. How many votes did each get? Aligns with 6.RP.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.4: Equations and Formulas

For Teachers 9th - 10th Standards
In this exercise, students will use inverse operations to solve the equations for the unknown variable, or for the designated variable if there is more than one. Aligns with A-CED.A.4.