Ch 27: MTEL Middle School Math/Science: Algebraic Applications in Geometry
About This Chapter
MTEL Middle School Math/Science: Algebraic Applications in Geometry - Chapter Summary
This chapter could help you to remember what you learned previously about algebraic applications in geometry. Look at the video lessons in this chapter and get set for similar questions on the MTEL Middle School Math/Science examination. The online videos feature the steps for solving quadratic equations and completing the square, and they explain the process of using the Pythagorean theorem. After this chapter, you'll be ready for any test questions about:
- Identifying and graphing circles
- Rewriting quadratic equations in order to complete the square
- Developing visualization techniques to solve geometry problems
- Using the Pythagorean theorem to calculate distance
- Solving trigonometric functions
Learn from the enlightening narration of qualified instructors as well as from the written transcripts and video graphics. Take advantage of stop, play and pause features, and use the video tags to move quickly between topics. Your mobile device will allow you to take your lessons with you and study on-the-go. You could also print out the results of the self-assessment quizzes along with the worksheets and refer to them at intervals throughout your day.
1. Graphing Circles: Identifying the Formula, Center and Radius
Graphing a circle requires knowing the center, radius, and circle formula. Changing the exponents in the formula changes the size and location on the graph. Learn how to to correctly graph a circle by identifying the formula, center, and radius.
2. Write the Standard Form of an Equation by Completing the Square
Math equations can be simplified when rewritten, such as when 'completing the square' where a quadratic equation is condensed to have the variables written only once. Learn why this can be useful and the method for finding and completing the square.
3. Finding Distance with the Pythagorean Theorem
The Pythagorean theorem outlines principles for right triangles, but it can also be used to calculate distance between points. Learn how this theorem is applied to practical examples of ice cream, skateboard ramps, and even the cliff-peak in 'The Lion King.'
4. Trigonometry and the Pythagorean Theorem
The SohCahToa and the Pythagorean Theorem are two rules for finding equations in trigonometry. Learn more about the definitions of the SohCahToa and the Pythagorean Theorem, understand how they work, and how to use them in calculus.
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Other Chapters
Other chapters within the College Preparatory Mathematics: Help and Review course
- Math Foundations: Help and Review
- Problem Solving & Reasoning Skills
- Percents in Math Basics
- Decimals & Fractions Overview
- Understanding Fractions & Mixed Numbers
- Linear Equations: Help and Review
- Solving and Graphing Inequalities: Help and Review
- Graphing and Factoring Quadratic Equations: Help and Review
- Complex and Imaginary Numbers: Help and Review
- Properties of Exponents: Help and Review
- Praxis I Math: Square Roots
- Properties of Polynomial Functions: Help and Review
- Simplifying and Solving Rational Expressions: Help and Review
- Praxis I Math: Algebraic Expressions
- Properties of Functions: Help and Review
- Logarithms and Exponential Equations: Help and Review
- Data & Estimation
- Logic in Math: Help and Review
- Sets: Help and Review
- Basic Probability and Statistics: Help and Review
- Praxis I Math: Basic Statistics and Probability
- Geometric Laws & Proofs
- Grade Level Math Vocabulary: Help and Review
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Congruence and Similarity
- Praxis I Math: Geometric Measurement and Dimension