In this unit students will build upon their experiences with geometry in earlier grades. Seventh grade students use these skills to informally construct geometric figures.

Manipulatives, dynamic geometry, and tools like rulers and protractors will be particularly helpful with this unit. A particular focus in this unit is the construction of triangles when given combinations of measures of three angles and/or sides. Students will investigate which of these combinations create unique triangles, more than one triangle, or no triangle at all. Students will use the angle-angle criterion to determine similarity.

Angle relationships generated by intersecting lines including supplementary, complementary, adjacent, and vertical angles are also used in problem solving. Using these relationships, students will make conjectures and solve multistep problems with angles created by parallel lines cut by a transversal. They will also examine both angle sums of polygons and exterior angles.

Students will know and use formulas for the area and circumference of a circle and be able to determine the relationship between them.

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 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.

The students will be split into small, cooperative groups and build a city following specific guidelines. The students will learn how a city is constructed with angles, intersections, parallel, intersecting, and transversal streets. They will understand that buildings are located at particular points which are considered alternate interior or exterior angles, corresponding angles, etc.

This activity reinforces students' understanding of angles.

This document provides sample performance tasks/assessment items for Common Core State Standards Grade 7 Math provided by the Louisiana Department of Eduation. Both questions and exemplary responses are included.

In this online "quiz", students use facts about supplementary, complementary, and vertical angles to solve for unknown angles in figures.

This project applies the concepts of Friction, Gravity, Newton's Laws, Potential and Kinetic Energy, Speed, Distance vs. Time Graphs, and integrates them into a culminating project. Students work in pairs to create a marble run using basic classroom supplies and a standard tri-fold board. The goal is to create a marble run that takes as long as possible for the marble to complete without getting stuck. The project includes a data analysis section and a content questions component. There is also a scoring rubric included. The standards that this project covers can be found on the final page of the document. No special materials or tools are necessary.

Students will use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers. They use the number line to understand the properties of inequality and recognize when to preserve the inequality and when to reverse the inequality when solving problems leading to inequalities. They also interpret solutions within the context of problems. Additionally, students extend their study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems

Students learn about radar imaging and its various military and civilian applications that include recognition and detection of human-made targets, and the monitoring of space, deforestation and oil spills. They learn how the concepts of similarity and scaling are used in radar imaging to create three-dimensional models of various targets. Students apply the critical attributes of similar figures to create scale models of a radar imaging scenario using infrared range sensors (to emulate radar functions) and toy airplanes (to emulate targets). They use technology tools to measure angles and distances, and relate the concept of similar figures to real-world applications.

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math.

In this lesson, students solve for unknown angles in word problems and in diagrams involving all learned angle facts.