# Ch 20: Measurement & Geometry in Algebra Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Measurement and Geometry in Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day | Topics | Key Terms and Concepts Covered |
---|---|---|

Monday | Units of measurement | Time, length, capacity and weight; conversion of units of measurement; how to divide, add, multiply and subtract measurements |

Tuesday | Metric system; tools of measurement | Definition of the metric system and its measures, including liquid capacity, length and weight; steps in converting metric units; reading scales and when to use gauges, scales and meters |

Wednesday | Drawings; points, angles and lines; angle types | Ways to interpret and read scale drawings and meters; definition of terms, such as right angle, point, degrees and line types; discussion of angles, including corresponding angles, consecutive interior angles, vertical angles, alternate exterior angles and alternate interior angles |

Thursday | Shapes | Types and properties of geometric shapes, including triangles, rectangles, circles, rhombuses, squares, polygons, pentagons, parallelograms, octagons and quadrilaterals |

Friday | Triangles, angles, rectangles | Examples, identification, area and perimeter of triangles, angles and rectangles |

Monday | The Pythagorean theorem; circles and angles | Meaning and application of the Pythagorean theorem; area and circumference of circles; examples and definition of vertical and complementary angles |

Tuesday | 3D shapes; volumes | 3D geometric shapes, such as spheres, cubes, solids, cylinders and rectangular solids; calculating the volume of pyramids, basic shapes, spheres, cones, prisms and cylinders |

### 1. Standard Units of Measurement for Length, Weight, Time & Capacity

Watch this video lesson to learn how to recognize the various units of measurement for length, weight, time and volume. Learn to recognize both U.S. units and metric units.

### 2. How to Convert Standard Units of Measure

The United States uses pounds, miles, and Fahrenheit for measurements, but the rest of the world uses the metric system. This video lesson will help you to convert from one to the other easily, so you can understand kilometers and kilograms, too.

### 3. How to Perform Basic Operations with Measurements

In this video lesson, you will learn how measurements are very much like variables when it comes to adding, subtracting, multiplying, and dividing them. You will also see examples of how they are done.

### 4. What is the Metric System?

Most of the world relies on the metric system for measuring distance, weight, volume, and time. Watch this video lesson to learn what kinds of measurements are used in the metric system.

### 5. How to Convert Units in the Metric System

If you can make dinner, you can convert units in the metric system. It's that easy! In this lesson, you'll learn about the three key things you'll need to perform conversions.

### 6. How to Take Measurements with Scales, Meters & Gauges

In the real world, we take measurements all the time. Measurements are taken when you drive and when you weigh yourself, for example. Watch this video lesson to learn how you can take measurements of things that are important.

### 7. 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.

### 8. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

### 9. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

### 10. Overview of the Basic Shapes in Geometry

Watch this video lesson to learn about some basic shapes in geometry. These are the shapes that you will come across most often in math. Watch as triangles, rectangles, pentagons, and circles come by.

### 11. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

### 12. Properties of Shapes: Triangles

Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.

### 13. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

### 14. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 15. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

### 16. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

### 17. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

### 18. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

### 19. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

### 20. Vertical Angles & Complementary Angles: Definition & Examples

Special angles make your life easier. Learn how you can use the properties of special angles to help you find the measurements of missing angles in this video lesson.

### 21. Overview of Three-dimensional Shapes in Geometry

We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.

### 22. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

### 23. Volume of Cylinders, Cones, and Spheres

In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.

### 24. Volume of Prisms and Pyramids

In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.

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### Other Chapters

Other chapters within the Algebra I Curriculum Resource & Lesson Plans course

- Basic Arithmetic in Algebra Lesson Plans
- Decimals & Fractions in Algebra Lesson Plans
- Percent Notation in Algebra Lesson Plans
- Real Numbers in Algebra Lesson Plans
- Exponents & Exponential Expressions in Algebra Lesson Plans
- Radical Expressions in Algebra Lesson Plans
- Algebraic Expressions & Equations Lesson Plans
- Properties of Functions in Algebra Lesson Plans
- Matrices & Absolute Value in Algebra Lesson Plans
- Working with Inequalities in Algebra Lesson Plans
- Properties of Exponents in Algebra Lesson Plans
- Complex & Imaginary Numbers in Algebra Lesson Plans
- Algebraic Distribution Lesson Plans
- Linear Equations in Algebra Lesson Plans
- Factoring in Algebra Lesson Plans
- Quadratic Equations in Algebra Lesson Plans
- Polynomial Functions in Algebra Lesson Plans
- Rational Expressions in Algebra Lesson Plans
- Cubic Equations in Algebra Lesson Plans
- Lesson Plans for Calculations, Ratios, Percent & Proportions
- Data, Statistics, & Probability Lesson Plans
- Well-Known Equations in Algebra Lesson Plans