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
Students 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 students 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 learners 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 students 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, learners 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 learners an opportunity use quantitative and graphical reasoning to detect an error in a solution. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1: Sum of Angles in a Polygon
This problem provides students with an opportunity to discover algebraic structure in a geometric context. They will divide up polygons into triangles. The will use the sum of the angles of 180 degrees for each triangle. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: "One More" Concentration
This game is a version of the traditional memory or concentration game. Students will practice counting forward or backward depending on their skill level. Directions and materials needed are fully explained in the lesson.
Illustrative Mathematics
Illustrative Mathematics: Counting Overview
The most important factor in teaching counting is that children count things that matter to them, and that they practice often. This site gives various examples of how to incorporate counting into your classroom on a daily basis by...
Illustrative Mathematics
Illustrative Mathematics: Guess the Marbles in the Bag
Students will make their best guesses as to how many marbles are in a bag. After recording 4-5 guesses, the teacher writes the number representing the total on the board, and the students then help sort their guesses into less than,...
Illustrative Mathematics
Illustrative Mathematics: Assessing Writing Numbers
This activity assesses rather students know how to correctly write numerals. The teacher will ask students to write the number that is spoken. Extra tips for this activity are included.