Illustrative Mathematics
Illustrative Mathematics: A Rei.1 2 Same Solutions?
Students are shown six equations and must identify those that have the same solution and give their reasoning, without depending on actually solving them. This task encourages students to look for structure when comparing equations and...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Art Class, Variation 1
Seventh graders explore proportional relationships using paint colors in this lesson.
Illustrative Mathematics
Illustrative Mathematics: G Co When Does Ssa Determine Triangle Congruence?
For this task, we are told that two triangles share two sets of congruent sides and one pair of congruent angles and that these two triangles must be congruent based on the reasoning given. Students are asked to analyze this reasoning to...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Leaves on a Tree?
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...
Illustrative Mathematics
Illustrative Mathematics: A Rei Reasoning With Linear Inequalities
Young scholars are presented with a solution to an inequality and are asked to find two mathematical errors and explain why they are incorrect. Aligns with A-REI.B.3 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: N q.a.3, N q.a.1, N q.a.2: Weed Killer
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout. Aligns with N-Q.A.3, N-Q.A.1, and N-Q.A.2.
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: F Le Basketball Bounces, Assessment Variation 1
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This variant...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...
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. Young...
Illustrative Mathematics
Illustrative Mathematics: 4.oa Comparing Growth, Variation 2
The purpose of this task is to assess students' understanding of multiplicative and additive reasoning. Aligns with CCSS.Math.Content.4.OA.A.1 Interpret a multiplication equation as a comparison
Illustrative Mathematics
Illustrative Mathematics: 4.nbt What's My Number?
The purpose of this task is for students to reason about base-ten numbers on the number line in a way that will require them to use what they know about place value. Students first represent addition and subtraction on the number line in...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Stock Swaps, Variation 2
Microsoft Corp. wants to acquire 1.5 million shares of Apple Corp. that are worth \$374 per share and is willing to swap Microsoft Corp. shares at \$26 per share. How many shares (to the nearest share) do they need to offer to get an...
University of Cambridge
University of Cambridge: Nrich: 2, 4, 6, 8
On this one page website sharpen your logic, addition, and subtraction skills while working on this challenge. The solution is available to double check your solution.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Music Companies, Variation 1
This lesson plan has students determine the unit rate and then determine the cost.