Chapter 4 Vocabulary
Chapter 4 Readiness Assessment
Chapter 4 Preview Review Packet
4.1 The Rational (Reciprocal) Function + Dilations
Quiz #6 (4.1 + Dilations)
pre4.2 Factoring Quadratic Expressions ANSWER KEY
4.2 Graphing Rational Functions
Test 4A Review (Answer Key)
pre4.3 Review of Multiplying and Dividing Expressions (Answer Key)
4.3 Multiplying and Dividing Rational Expressions
4.4 Adding and Subtracting Rational Expressions
Quiz #7 (4.3-4.4)
4.5 Solving Rational Equations - Due to MALWARE ISSUES, please visit with Mrs. Moore to obtain copies of the notes and/or HW answer keys.
Test 4B Review - ANSWER KEY
Chapter 4 Readiness Assessment
- Please visit with Mrs. Moore to obtain an additional copy as it is protected by copyright.
- ANSWER KEY
Chapter 4 Preview Review Packet
- Please visit with Mrs. Moore to obtain an additional copy as parts are protected by copyright.
- ANSWER KEY
4.1 The Rational (Reciprocal) Function + Dilations
- Essential Understanding:
- The reciprocal function is used to model inverse variation, which is a proportional relationship between two variables such that when one variable increases, the other decreases.
- Day 1: The Reciprocal Function Completed Class Notes
- Day 2: DILATIONS of Reciprocal Functions + Long Division Completed Class Notes
- Extra Notes/Practice
Quiz #6 (4.1 + Dilations)
pre4.2 Factoring Quadratic Expressions ANSWER KEY
4.2 Graphing Rational Functions
- Essential Understanding:
- A rational function is any function r(x) = p(x)/q(x) which p(x) and q(x) are polynomial functions. The domain of a rational function is all real numbers except any x-values for which q(x) = 0. The graph of a rational function has one or more asymptotes, which guide the end behavior of the graph.
- Day 1: Identifying the key features of rational functions COMPLETED CLASS NOTES
- HW: #1-7 at the end of the notes (Even Answers Here)
- Day 2: Graphing rational functions using key features COMPLETED CLASS NOTES
- HW: #1-8 at the end of the notes (Even Answers Here)
Test 4A Review (Answer Key)
pre4.3 Review of Multiplying and Dividing Expressions (Answer Key)
4.3 Multiplying and Dividing Rational Expressions
- Essential Understanding:
- Rational expressions form a system similar to the system of rational numbers and can be multiplied and divided by applying the properties of operations as they apply to rational expressions.
- Completed Class Notes
- Extra Resources:
- Desmos Graph of Example 1 - Where does the asymptote go? A: Reduced factors create holes in the graph.
- SheLovesMath.com: Multiplying and Dividing, and Simplifying Rationals
- SheLovesMath.com: Restricted Domains of Rational Functions
- HW: #1-8 at the end of the notes (Odd Answers Here)
4.4 Adding and Subtracting Rational Expressions
- Essential Understanding:
- The properties of operations used to add and subtract rational numbers can be applied to adding and subtracting rational expressions.
- Completed Class Notes
- Extra Resources:
- HW: #1-9 at the end of the notes (Even Answers Here)
- Correction:
- #8 : (-4x-15)/(x^2+4x) (Thanks, Emma!!!!!)
- Correction:
Quiz #7 (4.3-4.4)
4.5 Solving Rational Equations - Due to MALWARE ISSUES, please visit with Mrs. Moore to obtain copies of the notes and/or HW answer keys.
- Essential Understanding:
- Rational equations contain a rational expression and can be solved by multiplying each side of the equation by a common denominator to eliminate fractions. Any solution that is excluded from the domain of the original equation is extraneous.
Test 4B Review - ANSWER KEY