Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Find a System
The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: Reasoning About Multiplication
This is a good task to work with kids to try to explain their thinking clearly and precisely, although teachers should be willing to work with many different ways of explaining the relationship between the magnitude of the factors and...
Illustrative Mathematics
Illustrative Mathematics: Calculator Trouble
Even though learners 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: Bowling for Numbers
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Aligns with 5.OA.A.1.
Illustrative Mathematics
Illustrative Mathematics: A Ced.2 and G Gmd.4: Global Positioning System I
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...
Illustrative Mathematics
Illustrative Mathematics: A Sse the Physics Professor
In this task, students are asked to study the structure of an algebraic expression, draw conclusions, and explain their thinking. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Fundraising
This task asks students to multiply rational numbers. Aligns with 5.NF.B.5.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Grass Seedlings
For the sake of this commentary, let R be the height of Rual's seedlings (of course students do not need to use a letter to represent any number in this task). Student must compare the size of each of two products (112xR, and 34xR) to...
Illustrative Mathematics
Illustrative Mathematics: Words to Expressions 1
This problem allows students to see words that can describe the expression from part (c) of "5.OA Watch out for Parentheses." Additionally, the words (add, sum) and (product, multiply) are all strategically used so that the student can...
Illustrative Mathematics
Illustrative Mathematics: Video Game Scores
Standard 5.OA.2 asks students to "Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them." This task asks students to exercise both of these complementary skills,...
Other
Emsl: The River Crossing Problem
The lesson plan for an interesting word problem concerning swimming and rowing across a river, being swept downstream by the current, and walking back up the other side. Basic arithmetic skills are all that are needed to approach the...