Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Three, Variation 2
John, Marie, and Will all ran for 6th grade class president. Of the 36 learners voting, the ratio of votes for John to votes for Will was two to one. Marie got exactly the average number of votes for the three of them. How many more...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Three, Variation 1
Students use ratio relationships between two quantities to answer three questions in this diagram-based performance task.
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
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. How many more votes did John get than Will?
Illustrative Mathematics
Illustrative Mathematics: 6.rp Voting for Two, Variation 1
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 votes did each get? Aligns with 6.RP.A.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.4: Equations and Formulas
In this exercise, students will use inverse operations to solve the equations for the unknown variable, or for the designated variable if there is more than one. Aligns with A-CED.A.4.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Running at a Constant Speed
Learners use ratio and rate reasoning to answer four questions in this performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Security Camera
Students use ratio and rate reasoning to answer four questions in this diagram-based performance task.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Dimes and Quarters
This task requires students to recognize the pairs of linear equations in two variables that would be used to solve a given system of equations. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Growing Coffee
This task is designed to make students think about the meaning of the quantities presented in the context (of coffee needs) and choose which ones are appropriate for the two different constraints presented. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Writing Constraints
The purpose of this task is to give young scholars practice writing a constraint equation for a given context. Aligns with A-CED.A.3.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.2 and a ced.a.3: How Much Folate?
This task is designed to be used as an introduction to writing and graphing linear inequalities. Aligns with A-CED.A.2 and A-CED.A.3.
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...
Illustrative Mathematics
Illustrative Mathematics: 7 Sp Mr. Brigg's Class Likes Math
A multi-step performance task word problem: In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Walk a Thon 1
A performance task where young scholars fill in the missing values on a table, plot the corresponding points in the coordinate plane, and find the two unit rates that are associated with this proportional relationship.
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?...
Illustrative Mathematics
Illustrative Mathematics: A ced.a.2: Silver Rectangle
This task provides a geometric context for working with ratios and algebraic equations. Students will create and then solve an algebraic equation describing a remarkable shape, the silver rectangle. Aligns with A-CED.A.2.
Illustrative Mathematics
Illustrative Mathematics: 6.rp the Escalator, Assessment Variation
Students demonstrate their understanding of the concept of ratio and unit rate association with a ratio.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.2: Clea on an Escalator
This task has students create equations to model a physical scenario, and then reason with those equations to come up with a solution. Aligns with A-CED.A.2.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Stock Swaps, Variation 3
A multi-step performance task word problem: Microsoft Corp. has made an offer to acquire 1.5 million shares of Apple Corp. worth $374 per share. They offered Apple 10 million shares of Microsoft worth $25 per share, but they need to make...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Sore Throats, Variation 1
A performance task asking students to choose and apply an appropriate equation to determine an equivalent ratio for two salt and water mixtures.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1: Planes and Wheat
This is an exercise in creating equations from a situation with many variables. By giving three different scenarios, students will be reviewing their definitions of the variables to emphasize the importance of defining variables when...
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Estimating a Solution via Graphs
The purpose of this task is to give students an opportunity use quantitative and graphical reasoning to detect an error in a solution. Aligns with A-REI.C.6.