About This Chapter
Standard: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. (CCSS.MATH.CONTENT.7.G.A.1)
Standard: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. (CCSS.MATH.CONTENT.7.G.A.2)
Standard: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. (CCSS.MATH.CONTENT.7.G.A.3)
About This Chapter
Students who have grasped these Common Core standards will be able to draw, describe and construct geometrical figures, as well as describe the relationships between them. Use the lessons in this collection to teach your students the following skills:
- Applying scale factors to the area, volume and perimeter of similar figures
- Reading and interpreting scale drawings
- Making geometric constructions
- Constructing types of triangles
- Identifying top, side and front view of 3-D figures
You'll know when your students have mastered these standards when they are able to solve problems that involve scale drawings of geometric figures, draw or construct geometric shapes using specified conditions and describe the 2-D shapes that come from slicing 3-D figures.
How to Use These Lessons in Your Classroom
Here are some suggestions for incorporating the collection materials into your lesson plans:
Construct Geometric Figures
For a classroom activity, try making some of the constructions described in the 'Practice Making Geometric Constructions with Tools' video. Have students work in small groups so that they can share tools and advise each other. Afterwards, ask each student to write down the name of their constructions and the measurements they used.
Make a Scale Model of the Great Pyramid of Giza
Watch the lessons on scale factors and constructing geometric figures. Then, create a scale replica of the Pyramid of Giza using cardboard or construction paper, scissors and tape. Pyramid measurements are easily obtainable online. Have students use the knowledge they've acquired to scale down the measurements. Use a ruler to measure and draw the sides of the pyramid, and then cut out and assemble the shapes.
Assign Lessons and Quizzes as Homework
Supplement regular assignments with the videos and quizzes in this collection. Students can watch the videos as a refresher before completing the practice questions that correspond with each lesson. As a bonus activity, challenge students to create and answer their own questions based on the questions in the practice quizzes.
1. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.
2. How to Read and Interpret Scale Drawings
Watch this video lesson to learn how scale drawings and legends are used on maps and blueprints. Learn skills that will serve you well when traveling and when looking at the blueprints of a car.
3. Practice Making Geometric Constructions with Tools
There are a number of tools available to geometry students to help make their work a bit easier. In this lesson, we will review how to use many of them in order for you to get the most out of every geometry class.
4. Constructing Triangles: Types of Geometric Construction
When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.
5. Front, Side & Top View of 3-Dimensional Figures
This lesson goes over the front, side, and top views of numerous 3-dimensional figures. You'll learn that while some look exactly the same from most angles, others do not.
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Other chapters within the Common Core Math Grade 7 - Geometry: Standards course