Original PromptINTEGRATED MATH 3
WEEK 4 – TeachShare Prompts
(Unit: Rational Functions – OER Lessons 4E–7E)
🔵 DAY 1 – Lesson 4E: Are You Rational?
📌 Focus
Definition of rational functions
Degree comparison
Horizontal asymptotes
Introducing holes and slant asymptotes
📚 Standards (California Integrated Math 3)
F-IF.B.4 Interpret key features of functions from graphs and expressions
F-IF.C.7d Graph rational functions and identify asymptotes
F-IF.C.8b Rewrite rational expressions
A-APR.B.3 Identify z...
This learning resource focuses on understanding rational functions, particularly horizontal asymptotes. It includes objectives aimed at analyzing, graphing, and solving rational functions through identifying key features, performing operations, and applying problem-solving strategies. The resource features a structured approach, beginning with comparing degrees of the numerator and denominator, followed by examples, guided practices, and independent activities. Students engage in exercises to determine horizontal asymptotes based on degree comparisons, as well as operations with rational expressions like multiplication and addition. The material also covers building sign charts and graphing functions, emphasizing the importance of critical values and asymptotes in sketching graphs. Additionally, real-world applications, such as work rates and solving equations, are integrated to provide context and relevance to the mathematical concepts discussed.