Illustrative Mathematics
Illustrative Mathematics: 7.ns Sharing Prize Money
In this lesson, 7th graders solve real world problems using the four operations.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Two School Dance
The purpose of this task is to see how well students students understand and reason with ratios. This task was adapted from problem #14 on the 2011 American Mathematics Competition (AMC) 8 Test. Aligns with 7.RP.A.3. The site provides a...
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I
In this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: 6.ee Seven to the What?!?
At first glance, this might seem like an impossible problem because the number $7^{2011}$ is much too large to evaluate even with a calculator. It requires a starting point, and, to many, such a starting point might not be obvious....
Illustrative Mathematics
Illustrative Mathematics: 6.ee,rp 7.ee,rp Anna in d.c.
The purpose of this task is to give students an opportunity to solve a multi-step percentage problem that can be approached in many ways. Because the tax and tip in this problem are a fixed percentage of the cost of the meal, the total...
Illustrative Mathematics
Illustrative Mathematics: 7.ee Sports Equipment Set
In this lesson, 7th graders write and solve an inequality to solve the problem.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Standing in Line
The purpose of this task is for students to solve a problem in context that can be solved in different ways, but in particular by dividing a whole number by a unit fraction. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: Converting Fractions of a Unit Into a Smaller Unit
Note that in each of these problems we are given a set of a specified size and a specified number of subsets into which it is to be divided. The questions ask the student to find out the size of each of the subsets. Students are not...
Illustrative Mathematics
Illustrative Mathematics: 7.rp,ee Gotham City Taxis
The purpose of this task is to give students an opportunity to solve a multi-step ratio problem that can be approached in many ways. The site includes a task and the solution.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Co, G Srt Unit Squares and Triangles
In this task, young scholars are shown three unit squares and two line segments connecting two pairs of vertices. They are asked to find the area of a triangle formed by intersecting lines. They can solve it using coordinate geometry or...
Illustrative Mathematics
Illustrative Mathematics: G Srt Bank Shot
This task asks students to use similarity to solve a pool table problem. Students must use the fact from physics that when an object bounces off of a wall, the angle of incidence equals the angle of reflection. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo
A performance task in which young scholars 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
For 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 students create equations to solve the given problems.
Illustrative Mathematics
Illustrative Mathematics: Calculator Trouble
Even though young scholars 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.