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.

An interactive applet and associated web page that demonstrate the properties of a 3:4:5 triangle - one of the Pythagorean triples. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's side remain in the ration 3:4:5. The text on the page has an example of how the triangle can be used to measure a right angle on even large objects. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Inside this task students can explore changing areas and patterns of numbers. Students can also explore the shapes formed by the fence panels and decompose those shapes into smaller shapes.

This is a true low floor – high ceiling task. The question posed is, “What is the biggest fence that can be made out of 36 pieces of fence?”. The fences can be any length eg 1 meter or 1 yard. The class can decide together whether they will include irregular shapes, this is a mathematical act – working out what assumptions will be made. The task can be approached in many different ways. Some students may use grid paper and model with snap cubes or rods to approximate the greatest area. Others may construct models using dynamic geometric software and apply trigonometry. This will give students an opportunity to problem solve, drawing on different areas of mathematics.

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.

In this Nrich problem students can work on both prime factorization and area of rectangles.

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.

Using scrap metal and spare parts, William Kamkwamba created a windmill to harness the wind and bring electricity and running water to his Malawian village. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Develop a way to harness the wind by designing with Strawbees.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

Includes chapters on: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, Polygons and Quadrilaterals, Similarity, Right Triangle Trigonometry, Circles, Perimeter and Area, Surface Area and Volume, Rigid Transformations.

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 link takes you to MoodleNet where you can download Middle School level math LMS courses that include Geogebra's digital app version of Illustrative Mathematics. The courses will work in Moodle, Canvas, Schoology or D2L. From the list of courses in the GeoGebra Illustrative Mathematics collection on MoodleNet click on the name of the unit you want. Then choose to either send it to Moodle or download the file so that it can be uploaded to Canvas, Schoology or D2L.

This site teaches Geometry to 7th graders through a series of 467 questions and interactive activities aligned to 26 Common Core mathematics skills.

When students successfully complete this task, they will have shown that there is more than one triangle with a 30-degree angle adjacent to a side of length 4 units and opposite to a side of length 3 units.

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: Draw an angle that measures 60 degrees like the one shown here: Draw another angle that measures 25 degrees.

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.

The earth’s atmosphere may seem thick when compared to something like your height—but it’s surprisingly thin when compared to the earth’s radius. Here, you can find out exactly how thin, using strips of plastic to model the correctly scaled thickness of the atmosphere on a globe.

A work in progress, CK-12's Math 7 explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry.

As part of the 7th Grade Social Studies curriculum students will incorporate Science, Technology, Engineering, Arts and Mathematics (S.T.E.A.M) into unit various lessons. This lesson will specifically address the Ancient Egyptian unit in alignment with the class curriculum textbook: Discovering Our Past “A History of the World, Early Ages” McGraw-Hill Networks and various curricular standards. Students interest and excitement towards Egyptian history will be increased by the possibilities and opportunities offered by Minecraft. Students will conducted extended research of the mighty and mysterious pyramids and learn how and why people have built such magnificent structures.

In this math activity, learners observe and sketch cracking patterns in pavement. Learners use a protractor to measure and label the angles of their sketches and conclude if some angles are more common than others.

In this activity, learners create angle-measuring devices--protractors--out of paper. Learners follow a series of steps to fold a square sheet of paper into a triangular Pocket Protractor. Learners will practice measuring and identifying the angles of a triangle.

Zaha Hadid grew up in Baghdad, Iraq, and dreamed of designing her own cities. After studying architecture in London, she opened her own studio and started designing buildings. But as a Muslim woman, Hadid faced many obstacles. Determined to succeed, she worked hard for many years, and achieved her goals—and now you can see the buildings Hadid has designed all over the world. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Identify an area in your school that is very traditional. Redesign it to better fit the needs of the end-users. Then sketch out a new design, and then create a physical prototype of the new design to scale.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.