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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: On the map below, $\frac14$ inch represents one mile. Candler, Canton, and Oteen are three cities on the map. If the distance between the real towns of...

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 7th grade Math parent guide explains the content in straightforward terms so they can support their children’s learning at home and will encourage caretaker engagement with lessons.

Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.

 This is a hands-on project that uses George Orwell's novel, Animal Farm, as the touchstone text. Students work in groups to construct a functioning windmill that can generate electricity. Each student has a role based on the characters in the book. There are also segments of the project that focus on extracting key information from the text.

In this lesson, students solve area problems related to scale drawings and percent by using the fact that an area, A',​ of a scale drawing is k2 times the corresponding area, A, in the original drawing, where k is the scale factor.

Students learn to use ratios and proportions to solve real world problems involving models and drawings.

 Students will be asked to evaluate their local community and design and build a 3-dimensional circular space, building, or facility to meet their town's / city's / state's needs. Requirements: two written paragraphs, blueprints drafted on graph paper, a physical model, a Project Improvement Plan, and self reflection. 

CK-12 Middle School Math Concepts for seventh grade provides a complete textbook. It presents topics including algebraic thinking, patterns, decimals, decimal operations, fractions, fraction operations, integers, integer operations, ratios, rates, proportions, percents, percent applications, equations, solving equations, inequalities, functions, graphing functions, geometry, plane geometry, solid geometry, area, perimeter, surface area, volume, statistics including mean, median, mode and range, graphing and types of graphs, and probability.

Students use bearing measurements to triangulate and determine objects' locations. Working in teams of two or three, they must put on their investigative hats as they take bearing measurements to specified landmarks in their classroom (or other rooms in the school) from a "mystery location." With the extension activity, students are challenged with creating their own maps of the classroom or other school location and comparing them with their classmates' efforts.

In this lesson, students are given a scale drawing to compute the lengths in the actual picture using the scale. Students identify the scale factor in order to make intuitive comparisons of size then devise a strategy for efficiently finding actual lengths using the scale.

Given a scale drawing, students compute the lengths in the actual picture using the scale factor.Given a scale drawing, students compute the lengths in the actual picture using the scale factor.

Given Drawing 1 and Drawing 2 (a scale model of Drawing 1 with scale factor), students understand that Drawing 1 is also a scale model of Drawing 2 and compute the scale factor. Given three drawings that are scale drawings of each other and two scale factors, students compute the other related scale factor.

In this lesson, students create their own scale drawing of the top-view of a furnished room or building.

As students learn more about the manufacturing process, they use the final prototypes created in the previous activity to evaluate, design and manufacture final products. Teams work with more advanced materials and tools, such as plywood, Plexiglas, metals, epoxies, welding materials and machining tools. (Note: Conduct this activity in the context of a design project that students are working on; this activity is Step 6 in a series of six that guide students through the engineering design loop.)

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.