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 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 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.

In this lesson, students will have an opportunity to apply their understanding of rate and ratio. They will analyze the fees of different campgrounds and use that information to make decisions about where to camp. Students will be able to use ratio and rate reasoning to solve real-world and mathematical problems by using tables to organize equivalent ratios.

It is a ratios and proportionals example for sixth grade. It is a picture of El Castillo's steps and the objective is to solve a question about how high off the ground would 51 steps be? It requires using a ratio table to solve.

In this lesson, students simulate forest succession and disturbances by role-playing trees. Using calculations, students discover how forests are renewable resources.

While students need to be able to write sentences describing ratio relationships, they also need to see and use the appropriate symbolic notation for ratios. If this is used as a teaching problem, the teacher could ask for the sentences as shown, and then segue into teaching the notation. It is a good idea to ask students to write it both ways (as shown in the solution) at some point as well.

In this activity, learners use their hands as tools for indirect measurement. Learners explore how to use ratios to calculate the approximate height of something that can't be measured directly by first measuring something that can be directly measured. This activity can also be used to explain how scientists use indirect measurement to determine distances between things in the universe that are too far away, too large or too small to measure directly (i.e. diameter of the moon or number of bacteria in a volume of liquid).

This lesson focuses learners on the concept of 1,000,000. It allows learners to see firsthand the sheer size of 1 million, while at the same time providing learners with an introduction to sampling and its use in mathematics. Learners use grains of rice and a balance to figure out the approximate volume and weight of 1,000,000 grains of rice. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

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.

Mixtures allows the user to explore percent problems with two sets of circles. Each set of circles can have both colored and / or uncolored circles. The number of colored circles represents the percent of each pile. The user can select from a four modes: Exploration, Unknown Pile, Unknown Percent, or Unknown total.

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.

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 Beads and provides ways to write ratios and represent comparison relationships mathematically.

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 Pattern and provides a visual basis for understanding and using tape diagrams and tables to find ratio equivalencies.

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.

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.