Unit 1: Functions & Inverses
In this unit, students will further explore some familiar functions, focusing on identifying key features such as intervals of increasing/decreasing, maximums/minimums, and end behavior from graphs, tables, and contextual problems. Students will also be expected to derive the inverse for these familiar functions. In addition, students will be introduced to the notion of piecewise functions and absolute values functions through equations, graphs, tables, and verbal descriptions. Students will continue to analyze and interpret transformations on parent functions.
Unit 2: Exponentials & Logarithms
Using knowledge obtained in Unit 1 about inverses, students will be introduced to the inverse function of an exponential function, the logarithmic functions. Students will be expected to understand the relationship between the exponential function and the logarithmic function and to use their inverse relationship to solve equations.
Unit 3: Polynomial Functions
In Math 1 and Math 2, students have learned how to add, subtract, and multiply polynomials functions and use polynomials to represent models of perimeter, area, and volume. In the Math 3 curriculum, students will learn to divide polynomials using long division and synthetic division. Students will use division to solidify an understanding of what being a factor means through the use of the Remainder Theorem. Students will also use their prior knowledge of factored form polynomials and zeros to create graphs and interpret key features in context. Using the Fundamental Theorem of Algebra, students will determine the number and potential types of zeros for a polynomial functions.
Unit 4: Rationals
Students will work with adding, subtracting, multiplying, and dividing rationals with the ultimate goals of being able to successfully identify key features of rational graphs and to solve rational equations.
Unit 5: Solids & Modeling with Geometry
The purpose of this unit is to allow students to consider how three-dimensional figures can be used in optimization problems involving volume, surface area, and density.
Unit 6: Reasoning with Geometry
In this unit, students will prove additional theorems about triangles and parallelograms with an emphasis on reasoning, justification, and formalizing proofs.
Unit 7: Trigonometry
In Math 3, students will continue to use the basic trigonometric functions (sine, cosine, and tangent) introduced in Math 2. Students will be introduced to the unit circle and will be expected to use representations of trigonometric functions that model real world periodic behavior.
Unit 8: Circles
Unit 8 is extremely heavy with vocabulary and theorems related to circles and the angles and lines related to circles.
Unit 9: Statistics
Students will gain an understanding of how statistics is used to make inferences about a population based on results from a random sample.