This Essential Learning document highlights those Common Core Standards identified for seventh grade as the priority standards for the year. It also documents the necessary prerequisite skills and rigor level for each of the identified Essential Standards. In addition, it has the information on when it is taught, when it is assessed, and when students are expected to be proficient in alignment with the Illustrative Mathematics Curriculum

In this two-lesson unit, students will "use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. Students will discover the circumference and area formulas based on their investigations." (from NCTM's Illuminations)

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

This lesson helps students develop spatial visualization skills and geometric understanding by exploring the different nets that can be folded into a cube. The lesson is placed in the context of a young woman who is trying to build a jewelry box. The lesson provides an activity sheet, a link to a helpful applet (Cube Nets, cataloged separately), questions for students and teachers, and ideas for assessment and extensions.

In this lesson, students will use formulas they have explored for the volume of a cylinder and convert them into the same volume for rectangular prisms while trying to minimize the surface area. Various real world cylindrical objects will be measured and converted into a prism to hold the same volume. As an extension, students may design and create a rectangular prism container according to their dimensions to compare and contrast with the cylinder.

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.

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

This lesson unit is intended to help you assess how well students are able to: Model a situation; make sensible, realistic assumptions and estimates; and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

You are an employee of Green Valley Dairy and your job is to determine the mass of the company’s corn silage pile. Your boss knows that this pile is the limiting factor as to whether or not he can add animals to the herd. He is contemplating adding 500 head of cattle and needs to make sure there is enough feed in storage before they make the expansion...don’t mess up your measurements and calculations, as this is pivotal information.

This Check Your Readiness Assessment is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down identifying the Essential Standard associated. This assessment should be utilized with the uploaded rubric to determine levels of prerequisite skills when beginning a new unit and allow for placement of interventions.

This Check Your Readiness 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 to determine levels of prerequisite skills when beginning a new unit and allow for placement of interventions.

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.

This End of Unit Assessment is used in conjunction with the Illustrative Mathematics Curriculum and the Unit 7 End of Unit Assessment Rubric. It breaks down identifying the Essential Standard associated. This assessment should be utilized with the uploaded rubric to track progress towards proficiency on each of the grade level standards.

This Java interactive tool can be used to create dynamic drawings on an isometric dot grid, and to explore volume, surface area, and congruence concepts. Users can draw figures using edges, faces, or cubes and can shift, rotate, color, decompose, and view figures in 2‑D or 3‑D with this applet. Instructions on using and exploring with the tool are included on the page. A related multi-lesson unit from Illuminations for middle school students is linked to the side.

In this unit, students design their own clubhouses to learn concepts such as using basic linear measurement, understanding and creating scale representations, and exploring perimeter and area measurement. In addition, they identify, compare, and analyze attributes of two- and three-dimensional shapes and develop geometry vocabulary. The unit is divided into four lessons, and each lesson contains an overview, learning objectives, activity sheets for students, questions for students, assessment options, extensions for further exploration, teacher reflection questions, and correlation to NCTM standards.

This sequence of four lessons is designed to help students to understand ratio, proportion, scale factor, and similarity. Using online activities, they compare the perimeter and area ratios of similar rectangles with various scale factors; work with scale factor and surface area of various rectangular prisms; explore the relationship between the volume of two similar rectangular prisms; and examine the connection between the surface area of two similar rectangular prisms. All instructions, needed links, and activity sheets are provided.

This lesson unit is intended to help you assess how well students are able to: Interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant; interpret and evaluate the data generated and identify the optimum case; and communicate their reasoning clearly.

"Each student creates parallelograms from square sheets of paper and connects them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square" (from NCTM's Illuminations).

This is a three act lesson in which students investigate the volume of 2 different cylinders made from the same size of paper. Students determine which would container would hold the greater volume of popcorn, or if the volume would be the same.

This real world word problem requires students to figure out the scale ratio and unit rate.