About This Chapter
5th Grade Math: Geometric Shapes - Chapter Summary
The cleverly written text lessons and short, engaging videos in this chapter can help you show your students how to identify and define figures like circles, arcs, and prisms. This chapter can also help you teach your students how to calculate the area and volume of a prism, the circumference and area of a circle, and the area of triangles, rectangles and trapezoids.
Each lesson is accompanied by a brief quiz so that you can measure your students' understanding of the material. The short duration of the lessons enables you to fit them easily into your class schedule, and the user-friendly online platform allows you to access this study guide at your convenience.
- Defining and identifying examples of circles and circular arcs
- Constructing a circle with a compass
- Calculating the area and circumference of a circle
- Finding the area of rectangles, triangles and trapezoids
- Using formulas to measure the area of a parallelogram
- Measuring the area and volume of a prism
1. Circular Arcs and Circles: Definitions and Examples
A circle is defined as a set of points that are equidistant from a central point, while a circular arc is a part of the circumference of a circle. Explore the definition of a locus and find examples of circles and minor and major circular arcs.
2. How to Construct a Circle With a Compass
Constructing a circle with a compass is easy to do, once you've mastered a few techniques. In this lesson, we'll explore an approach that gives great results, every time.
3. Circles: Area and Circumference
Like all geometric shapes, circles take up space and a formula is required to calculate the area. Learn about the area and circumference of circles, explore the formula to calculate a circle's area, and review examples that use the diameter and others that use the circumference to find the area of a circle.
4. Area of Triangles and Rectangles
The area of a two-dimensional shape represents the space covered within its perimeter, but area calculations change depending on the shape. Learn how to calculate and solve the areas of right triangles, oblique triangles, and rectangles.
5. Measuring the Area of a Parallelogram: Formula & Examples
Measuring the area of a parallelogram involves labelling the base and height measurements and using a formula. Understand the information needed to use the formula, learn why it's important to label measurements, and see the steps to solve for the area through a detailed example.
6. Measuring the Area of a Trapezoid
In mathematics, a trapezoid is a four-sided figure with two sides that are parallel. Learn how to measure the area of a trapezoid. Review how to identify measurements, and practice using the formula to calculate a trapezoid's area.
7. Prisms: Definition, Area & Volume
Recognized by their base shape, prisms are objects that are three-dimensional and have straight parallel sides, top, and bottom. Discover more about prisms, including their measurements and how to find the surface area and volume.
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Other chapters within the 5th Grade Math course
- 5th Grade Math: Numbers & Number Sense
- 5th Grade Math: Integers & Whole Numbers
- 5th Grade Math: Factors & Multiples
- 5th Grade Math: Multiplication & Division
- 5th Grade Math: Understanding Fractions & Decimals
- 5th Grade Math: Ratios & Percentages
- 5th Grade Math: Exponents & Square Roots
- 5th Grade Math: Pre-Algebra
- 5th Grade Math: Multi-Step Problems
- 5th Grade Math: Measurement
- 5th Grade Math: Geometric Construction
- 5th Grade Math: Statistics & Probability