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Illustrative Mathematics
Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo
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...
Illustrative Mathematics
Illustrative Mathematics: G Gpe Equal Area Triangles on the Same Base Ii
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.
Illustrative Mathematics
Illustrative Mathematics: A Rei Quinoa Pasta 3
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.
Illustrative Mathematics
Illustrative Mathematics: 7.g Floor Plan
This lesson plan has students solving word problems using scale drawings.
Illustrative Mathematics
Illustrative Mathematics: 7.g Map Distance
This lesson plan has students solve problems using scale drawings on a map.
Illustrative Mathematics
Illustrative Mathematics: 1.oa \$20 Dot Map
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.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Sale!
Seventh graders are using proportional reasoning to solve real world problems in this lesson plan.
Illustrative Mathematics
Illustrative Mathematics: 7.g Stained Glass
In this lesson plan, 7th graders use formulas for area and circumference to solve the word problem.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Dueling Candidates
Seventh graders use proportional reasoning to solve word problems regarding an election.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Cooking With the Whole Cup
In this lesson, 7th graders use knowledge of ratios of fractions to solve the word problems.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Fishing Adventures 2
In this lesson plan students create equations to solve the given problems.
Illustrative Mathematics
Illustrative Mathematics: Calculator Trouble
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.
Illustrative Mathematics
Illustrative Mathematics: Half of a Recipe
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.
Illustrative Mathematics
Illustrative Mathematics: Running to School
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.
Illustrative Mathematics
Illustrative Mathematics: Finding Common Denominators to Add
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...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Busy Day
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...
Illustrative Mathematics
Illustrative Mathematics: 4.oa Comparing Money Raised
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),...
Illustrative Mathematics
Illustrative Mathematics: S Id.4 Do You Fit in This Car?
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....
Illustrative Mathematics
Illustrative Mathematics: S Id, F if Laptop Battery Charge
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...
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Setting Up Sprinklers
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....
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Two, Variation 4
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...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Two, Variation 3
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...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Two, Variation 2
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?
Illustrative Mathematics
Illustrative Mathematics: 6.rp Shirt Sale
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?...