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Algebra 1B — Functions, Exponential and Quadratic Models (California)
Curriculum
4 Sections
20 Lessons
Lifetime
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Unit 1: Functions
5
1.1
One Input, One Output: What Makes a Function
50 mins
1.2
Reading Graphs and Tables: Features and Average Rate of Change
50 mins
1.3
Pieces, Steps and Corners: Piecewise and Absolute Value Functions
50 mins
1.4
Working Backward: Tiered Rates and Inverse Functions
100 mins
1.5
Performance Task — Decode a Utility Bill
150 mins
Unit 2: Introduction to Exponential Functions
5
2.1
Adding or Multiplying? Linear and Exponential Change
50 mins
2.2
Sequences and Exponent Rules, Including Rational Exponents
50 mins
2.3
Reading the Rate: Interpreting and Rewriting Exponential Expressions
50 mins
2.4
Building and Graphing Exponential Models
100 mins
2.5
Performance Task — Exponential or Not?
150 mins
Unit 3: Introduction to Quadratic Functions
5
3.1
A New Pattern: Area, Second Differences and Quadratic Growth
50 mins
3.2
Polynomial Arithmetic: Adding, Subtracting and Multiplying
50 mins
3.3
Three Forms, One Parabola: Vertex Form and Transformations
50 mins
3.4
Falling Objects and Revenue: Quadratic Models in Context
100 mins
3.5
Performance Task — Launch Lab
150 mins
Unit 4: Quadratic Equations
5
4.1
Solving Quadratics by Square Roots and Factoring
50 mins
4.2
Completing the Square
50 mins
4.3
Deriving the Quadratic Formula, and What Its Solutions Can Be
50 mins
4.4
Where Paths Cross: Linear-Quadratic Systems and Choosing a Method
100 mins
4.5
Performance Task — Proof and Design Portfolio
150 mins
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