This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

In this problem students explore the concept of proportion by comparing the relative strengths of different mixes of juice flavor and water in a visual context. Given four mixtures represented by purple and white rectangles, students order the drinks from strongest to weakest flavor and explain their reasoning. The Teachers' Notes page offers suggestions for implementation, discussion questions, and ideas for extension and support.

In this activity students develop fraction concepts by reasoning about what choices they would make in order to get the most chocolate. Students determine how much candy they would receive as they enter one at a time and sit at one of three tables holding different amounts of candy which get shared equally. The activity includes the problem, tips for getting started, a teacher resource page, and a printable page of the problem.

This three-act math task utilizes videos and questioning to help students explore unit rate and proportions.

In this investigation students explore the concept of ratios and their relationship with factors and multiples. Given an assortment of cogs (gears) with different numbers of teeth, solvers are asked to find which pairs allow for each tooth of one to fit into every gap of the other, and to form conjectures regarding which pairs would work generally. The problem is well-suited for group work. The Teachers' Notes page offers suggestions for implementation, key questions, student sheets, and links to articles, videos, and an interactive Cog Environment (cataloged separately).

This is a three act task where students are asked to determine a relationship between the rate of a ferrari and the length of a rope.

This task has students determine how much some yogurt costs. There are multiple ways to approach this problem including unit rates, proportions and scale factors. Allow your students to think creatively and critically as they work through this task.

This problem, based on the story of Goldilocks and the Three Bears, provides a context for children to apply ratio and proportion concepts as well as fraction computation skills. Using the given size relationships among the bears, solvers determine the sizes of various objects in the bears' house. The Teachers' Notes page offers suggestions for implementation, key questions, ideas for extension and support, a printable pdf of the problem, and links to related problems.

Open Middle tasks provide opportunities for student to approach a mathematical task using different strategies and representations. They can be used as a warm-up/closing activity, as a formative assessment, or to facilitate discourse and discussion and get insite into student thinking and problem solving. These tasks provide a great opportunity for student to engage with the Standards for Mathematical Practice.

This problem provides an opportunity for students to reason about ratio and proportion in the realistic context of mixing a fruit drink from concentrate. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and links to related problems (Blackcurrantiest is cataloged separately).

This is a lesson is performance task based on the topic of Equivalent Ratios.  It starts out with a class discussion for the warm-up and guided-practice drawing on background knowlege of students for using multiplcation of fractions to adjust ingredients of a recipe.  The performance task is design to complete in groups of 4.  The culminating discussion with students presenting their Jamboards is the formative assessment.CitationsLesson image - Created by Sheryl HuntVanilla Pudding Recipe,Task scenario problem and question a-e are adapted from (Illustrative Mathematics, 2019)Culminating Discussion Questions are found on P.43 Elementary and Middle School Mathematics: Teaching Developmentally

Students determine how much of each paint color is necessary to paint the room they are in. Students use their knowledge of ratios and area to accomplish this task.

This video explains the steps for teaching a technology-rich math lesson with real-world application. Students create a recipe for a menu item, estimate the cost of production, and determine the selling price needed in order to make a profit from selling the food item.  Lesson Author: Erin Lundgreen