Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo

For Teachers 5th - 8th
A performance task in which students solve a problem involving a proportional relationship. The problem is: The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Equal Area Triangles on the Same Base Ii

For Teachers 9th - 10th Standards
This task has students apply their knowledge of parallel lines to solve a geometric problem on areas of triangles. The task is open-ended in that students can choose their method of completing the task. Aligns with G-GPE.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Quinoa Pasta 3

For Teachers 9th - 10th
For this problem, students must determine how much of a quinoa-based gluten-free pasta is actually quinoa. They must study the ingredient list and set up linear equations to solve the problem. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g Floor Plan

For Teachers 7th Standards
This lesson plan has students solving word problems using scale drawings.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g Map Distance

For Teachers 7th Standards
This lesson plan has students solve problems using scale drawings on a map.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 1.oa \$20 Dot Map

For Teachers 1st
In this lesson plan, 1st graders are given a graphic of a map and are to use addition and subtraction to solve the word problem.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.rp Sale!

For Teachers 7th
Seventh graders are using proportional reasoning to solve real world problems in this lesson plan.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g Stained Glass

For Teachers 7th
In this lesson plan, 7th graders use formulas for area and circumference to solve the word problem.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.rp Dueling Candidates

For Teachers 7th
Seventh graders use proportional reasoning to solve word problems regarding an election.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.rp Cooking With the Whole Cup

For Teachers 7th
In this lesson, 7th graders use knowledge of ratios of fractions to solve the word problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ee Fishing Adventures 2

For Teachers 7th
In this lesson plan students create equations to solve the given problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Calculator Trouble

For Teachers 5th - 8th
Even though students can solve this problem by multiplying, it is unlikely they will. Here it is much easier to answer the question if you can think of multiplying a number by a factor as scaling the number. Aligns with 5.NF.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Half of a Recipe

For Teachers 4th - 8th Standards
This is the third problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. Aligns with 5.NF.B.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Running to School

For Teachers 4th - 8th Standards
This is the easiest problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. Aligns with 5.NF.B.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Finding Common Denominators to Add

For Teachers 5th - 8th Standards
Part (a) of this task asks students to find and use two different common denominators to add the given fractions. The purpose of this question is to help students realize that they can use any common denominator to find a solution, not...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Busy Day

For Teachers 5th - 8th
This problem can be solved using simple arithmetical reasoning but is also naturally represented by a simple equation. Thus, it provides a good entry point for students into representing quantities in contexts with variables and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 4.oa Comparing Money Raised

For Students 4th
The purpose of this task is for students to solve three comparisons problems that are related by their context but are structurally different. Multiplicative comparison is purposefully excluded from third grade (see 3.OA.3 and 3.MD.2),...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Id.4 Do You Fit in This Car?

For Teachers 9th - 10th
Students are tasked with solving a common issue for automobile manufacturers that require the students to use normal distribution as a model for data distribution. They will also use mean and standard deviation to figure out the problem....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Id, F if Laptop Battery Charge

For Teachers 9th - 10th
This task uses a situation that is familiar to students to solve a problem they probably have all encountered before: How long will it take until an electronic device has a fully charged battery? Given data, students perform a variety of...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Setting Up Sprinklers

For Teachers 9th - 10th Standards
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
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...
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...
Lesson Plan
Illustrative Mathematics

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

For Teachers 5th - 7th
Young scholars 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?
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.rp Shirt Sale

For Teachers 5th - 7th
Students use ratio and rate reasoning to solve the following performance task: Selina bought a shirt on sale that was 20% less than the original price. The original price was $5 more than the sale price. What was the original price?...

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