MA 3135: Algebra II

Subject Area

Credits 1

Years

Level

High School

Algebra II is designed to continue the study of topics explored in Algebra I. Topics include complex numbers; functions and graphs; systems of equations and inequalities; polynomial, logarithmic and exponential functions and equations; sequences and series. Graphing calculators are used to enhance the understanding of realistic applications through mathematical modeling and to aid in the investigation and study of functions, equations and inequalities. Students may take the Standards of Learning (SOL) test for Algebra II. Students cannot receive credit for both Algebra II and Algebra II/Trigonometry (MA3137).

Prerequisites

Algebra I (MA 3130) or Algebra I Honors (MA 3220)

Parent Docs

Algebra II Parent Doc 2021-2022

Storyboard

Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking?
Title	What’s my Degree?: Exploring Polynomials	To Do and Undo: Exploring Rationals, Radicals, and Inverses	Growth and Decay: Exploring Exponents and Logs	Patterns and Sets: Exploring Sequences and Statistics
Focus of the Story	How does the highest power of a function affect the overall model produced? We start our story by exploring working models of motion, such as a roller coaster, to learn the properties of polynomials of different degrees.	What other types of models exist to describe real-world situations? Next, we explore models, such as the ideal gas law, to better understand relations between independent and dependent variables. We then learn how to simplify or solve radical and rational functions, equations, or expressions.	What models exist that describe continuous growth or decay? We further our understanding of the real world by studying exponential growth or decay such as investments and debt. We then explore logarithms (logs) as the inverse of exponentials.	How can we explore, analyze, and interpret large sets of data? Lastly, we analyze patterns and distributions to better understand the relationships between variables by learning the basics of statistics and probability.
Transfer Goals	Apply: Utilize effective strategies, processes, and tools to model new situations and/or real-world experiences.	Explain: Communicate mathematical thinking by justifying solutions using multiple representations while attending to precision.	Analyze: Investigate, formulate, and construct viable arguments by taking risks, persevering, and thinking flexibly.	Explore: Make sense of the world mathematically by asking questions and making connections through inquiry.
Learning Targets	I can analyze a function and identify its degree. I can solve linear equations and inequalities with absolute values. I can solve quadratic equations to include models of the real world. (Degree Two) I can graph and analyze higher-degree polynomials. (Degree Three or Higher)	I can solve, graph, and analyze rational functions. I can solve, graph, and analyze radical functions. I can use my knowledge of variation and inverses to solve practical problems.	I can solve, graph, and analyze exponential functions to include practical problems. I can solve, graph, and analyze logarithmic functions to include practical problems.	I can solve problems involving sequences and series. I can use my knowledge of permutations and combinations to better understand simple probability. I can better understand and analyze sets of data by utilizing the properties of normal distributions.

Algebra II: Assessment Matrix
Title	Unit	Rich Tasks:	Learning Target
	Unit 0: Function Families	Art Masterpiece	I can analyze a function and identify its degree.
	Unit 1: Absolute Value Equations and Inequalities	Soda Can Prom Problem	I can solve linear equations and inequalities with absolute values.
	Unit 2: Quadratic Functions and Equations	Drone Attack Wildfires Function of a Ride Nonlinear Systems	I can solve quadratic equations to include models of the real world
	Unit 3: Polynomials and Polynomial Functions	Design a Roller Coaster Polynomial Roller Coaster	I can graph and analyze higher-degree polynomials
	Unit 4: Rational Functions and Relations	Money Problems	I can solve, graph, and analyze rational functions.
	Unit 4: Rational Functions and Relations	Types of Variation Habitat for Humanity	I can use my knowledge of variation and inverses to solve practical problems.
	Unit 5: Inverses and Radical Functions	Inverses Activity	I can solve, graph, and analyze radical functions
	Unit 6: Exponential and Logarithmic Functions	Algae Attacks Good Investment	I can solve, graph, and analyze exponential functions to include practical problems.
	Unit 6: Exponential and Logarithmic Functions	Pot of Gold	I can solve, graph, and analyze logarithmic functions to include practical problems.
	Unit 7: Sequences and Series	Financial Literacy Frets of a Guitar	I can solve problems involving sequences and series.
	Unit 8: Probability and Statistics	Lunch Combination	I can use my knowledge of permutations and combinations to better understand simple probability.
	Unit 8: Probability and Statistics	Is it Normal? What is my standing?	I can better understand and analyze sets of data by utilizing the properties of normal distributions.