About This Chapter
Who's it for?
This unit of our High School Geometry Homeschool course will benefit any student who is trying to learn about parallelograms and other 4-sided figures. There is no faster or easier way to learn about quadrilaterals. Among those who would benefit are:
- Students who require an efficient, self-paced course of study to learn about the properties of parallelograms, rhombuses, kites, trapezoids and more traditional quadrilaterals.
- Homeschool parents looking to spend less time preparing lessons and more time teaching.
- Homeschool parents who need a math curriculum that appeals to multiple learning types (visual or auditory).
- Gifted students and students with learning differences.
How it works:
- Students watch a short, fun video lesson that covers a specific unit topic.
- Students and parents can refer to the video transcripts to reinforce learning.
- Short quizzes and the Quadrilaterals unit exam confirm understanding or identify any topics that require review.
Quadrilaterals Unit Objectives:
- Illustrate and explain the construction of rectangles.
- Learn to apply the area formula for rectangles.
- Define squares and discuss their properties.
- Discuss why quadrilaterals qualify as parallelograms or rhombuses.
- Compare the properties of kites and rhombuses.
- Learn to measure the area of trapezoids.
- Use Heron's formula, and illustrate with examples.
1. Parallelograms: Definition, Properties, and Proof Theorems
Watch this video lesson to learn how you can identify parallelograms. You will see the unique properties that belong to the parallelogram. You will see the special side and angle characteristics needed to prove a certain shape is a parallelogram.
2. Measuring the Area of a Parallelogram: Formula & Examples
Watch this video lesson to learn the simple formula to find the area of a parallelogram. Learn what measurements you need, how to label your parallelogram, and how to use the formula.
3. What Is a Rhombus? - Definition and Properties
Watch this video lesson to learn why rhombuses are a special type of quadrilateral. Also, learn why a rhombus is also a parallelogram. Watch as we explore the sides and angles of a rhombus.
4. Measuring the Area of a Rhombus: Formula & Examples
Did you know that there are three ways to find the area of a rhombus? Watch this video lesson to learn all three of them. See what information you need for each method as well as the steps required for each.
5. Kites in Geometry: Definition and Properties
A kite in geometry looks a lot like a kite in the sky! Watch this video lesson to see for yourself. Also, learn about the side and angle properties of kites that make them unique.
6. Rectangles: Definition, Properties & Construction
Watch this video lesson to learn a bit about rectangles. Learn why rectangles are the building blocks of many homes. Also, learn about the properties that make a rectangle unique from other shapes. Finally, learn how you can draw one.
7. Measuring the Area of a Rectangle: Formula & Examples
Look around you, and you see rectangles all over the place. And if you see paint, carpet, or anything that covers a rectangular area, you can be sure that someone has measured the area of the rectangle. Watch this video lesson to learn more.
8. Squares: Definition and Properties
Squares can be found in many places in the real world. Watch this video lesson to see how useful they can be and also to learn how to find the perimeter and area of a square.
9. Trapezoids: Definition and Properties
Watch this video lesson to learn what a trapezoid has to do with a triangle. Also, learn the special words that describe the various parts of a trapezoid. You will also see special types of trapezoids.
10. Measuring the Area of a Trapezoid
In this video lesson, you will watch and learn how you can find the area of trapezoid. Learn what measurements you need to have on hand as well as the formula that you need to use.
11. Using Heron's Formula in Geometry
Heron's formula has been around for a couple thousand years. Watch this video lesson to see how you can use Heron's formula to find the area of a triangle while only knowing the side lengths.
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Other chapters within the High School Geometry: Homeschool Curriculum course
- Foundations of Geometry: Homeschool Curriculum
- Logic in Mathematics: Homeschool Curriculum
- Geometric Figures: Homeschool Curriculum
- Properties of Triangles: Homeschool Curriculum
- Triangles, Theorems & Proofs: Homeschool Curriculum
- Parallel Lines & Polygons: Homeschool Curriculum
- Similar Polygons: Homeschool Curriculum
- Circular Arcs and Circles: Homeschool Curriculum
- Focus & Directrix: Homeschool Curriculum
- Geometric Solids: Homeschool Curriculum
- Analytical Geometry: Homeschool Curriculum
- Introduction to Trigonometry: Homeschool Curriculum