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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: Hippos sometimes get to eat pumpkins as a special treat. If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that? Lindy made 24 jelly-bread san...

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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 15 minutes? How long did it take her to ride 6 miles?...

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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. Which statements are true? Select...

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 Essential Learning document highlights those Common Core Standards identified for sixth grade as the priority standards for the year. It also documents the necessary prerequisite skills for each of the identified Essential Standards, when it will be taught within the IM curriculum and how it will be assessed.

An application of fractions with ties to culinary careers and life skills in the upper elementary grades.

This End of Unit Assessment is used in conjunction with the Illustrative Mathematics Curriculum.There is an included of multiple choice and open ended questions. This aligns to the rubric also included at the end of the assessment. This End of Unit Assessment Rubric is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down each question by identifying the Essential Standard associated and then defining what an Advanced, Proficient, Basic or Below Basic student response would entail. This rubric can then be utilized for students to track progress towards proficiency on each of the grade level standards.

The purpose of this task is to generate a classroom discussion about ratios and unit rates in context.

This lesson unit is intended to help sixth grade teachers assess how well students are able to: Analyze a realistic situation mathematically; construct sight lines to decide which areas of a room are visible or hidden from a camera; find and compare areas of triangles and quadrilaterals; and calculate and compare percentages and/or fractions of areas.

This task focuses on using rate language and developing the context of unit rates.  It also focuses on having students look at multiple strategies for solving ratios and encourages a teacher facilitated discussion of these different strategies.

The purpose of this task is to help students see that when you have a context that can be modeled with a ratio and associated unit rate, there is almost always another ratio with its associated unit rate (the only exception is when one of the quantities is zero), and to encourage students to flexibly choose either unit rate depending on the question at hand.

In some textbooks, a distinction is made between a ratio, which is assumed to have a common unit for both quantities, and a rate, which is defined to be a quotient of two quantities with different units (e.g. a ratio of the number of miles to the number of hours). No such distinction is made in the common core and hence, the two quantities in a ratio may or may not have a common unit. However, when there is a common unit, as in this problem, it is possible to add the two quantities and then find the ratio of each quantity with respect to the whole (often described as a part-whole relationship).

This lesson is part of a series of lessons that indigenize math education by including an art of the Native American tribes of Wisconsin-Menominee, Oneida, Ojibway, Ho Chunk and Stockbridge-Munsee. Beading has become ubiquitous in indigenous culture and is a modern art form. This context may be familiar to indigenous students as well as others. The unit starts with ratio identification and writing and moves to solving ratio reasoning problems, rate reasoning problems, and ends with graphing relationships. These are meant to supplement or replace current lessons.

This lesson is called Cedar's Beading Supplies as a context for solving rate problems.

Riding at a Constant Speed focuses primarily on application of ratio and rate reasoning to solve problems. The problem presents Lin riding a bike at a constant speed: 20 miles in 150 minutes. The resource uses students' apply their initial understanding of ratios and rates to solve a real-life problem. The task uses friendly numbers so students can easily develop different solution strategies (unit rate, double number line, table, graph) to solve the problem. While the resource does not explicitly mention it, this task has potential to discuss the different representations and have students make connections among them.

This is the first and most basic problem in a series of seven problems, all set in the context of a classroom election. Every problem requires students to understand what ratios are and apply them in a context. The problems build in complexity and can be used to highlight the multiple ways that one can reason about a context involving ratios.

This is the second in a series of tasks that are set in the context of a classroom election. It requires students to understand what ratios are and apply them in a context. The simple version of this question just asked how many votes each gets. This has the extra step of asking for the difference between the votes.

This problem, the third in a series of tasks set in the context of a class election, is more than just a problem of computing the number of votes each person receives. In fact, that isnŐt enough information to solve the problem. One must know how many votes it takes to make one half of the total number of votes. Although the numbers are easy to work with, there are enough steps and enough things to keep track of to lift the problem above routine.

This is the fourth in a series of tasks about ratios set in the context of a classroom election. What makes this problem interesting is that the number of voters is not given. This information isnŐt necessary, but at first glance some students may believe it is.

Shredded cheese blends are manufactured using a mix of specified cheese varieties. In this task, students will determine amounts of different cheese varieties necessary to produce an order of shredded cheese blend for a distribution order.