• Date created

July 1, 2020

• Last updated

July 1, 2020

# Course Overview

The SAT Mathematics course was developed by aligning Plato Courseware with the
strands and topics that are assessed on the 2016 SAT. Each unit aligns to one or more
topics within the 2016 SAT. This course focuses on the study of algebraic problemsolving

skills and concepts related to geometry, probability, and statistics. In this course,
you’ll find a variety of lessons and activities to improve your knowledge and skills in these areas.

# Course Goals

By the end of this course, you will be able to do the following:
Create equations to solve contextual problems.
Solve problems with linear functions and solve linear inequalities.
Solve a system of equations and inequalities.
Solve practical problems with two variables and also use linear math sentences in one variable.
Graph linear equations in two variables and find the intercepts of a linear equation.
Determine the slope and intercept of a linear relationship from its graph.
Study ratios and ratio conversions, convert measurement units, and explore ratios
and rates as percentages.
Recognize proportional relationships and use them to solve ratio and percent problems.
Construct and apply two-way tables.
Interpret and describe data in scatter plots, interpret scatter plots with linear
associations, and apply linear equations from scatter plots.
Use the slope and intercept of linear functions to write an equation from a graph, and
draw a graph from an equation.
Understand conditional probability and solve problems that involve exponential growth.
Use statistics to study a sample of the population, use data to draw conclusions, and
evaluate reports based on the data.
Find the sum, difference, and product of two polynomials.
Understand monomial and binomial factors of polynomials.
Solve quadratic equations by factoring and use quadratic equations in one variable
to solve practical problems.
Factor a difference of squares as well as common algebraic expressions.
Solve linear equations by isolating the variable and find the solution for the quadratic
equations of the form x² + bx = 0.
Find the solution set for a quadratic equation by using the quadratic formula.
Solve linear-quadratic equations algebraically and graphically.
Explore the parabola and its intercepts, vertex, and coefficients.
Solve problems that involve exponential decay, and identify exponential and logarithmic functions.
Alter functions by translating and transforming the graph, and learn to find composite functions.
Solve equations involving radicals and power functions.
Solve real-world problems by writing and solving equations.
Rewrite expressions in different forms, and simplify algebraic expressions.
Use variables to represent numbers when solving real-world and mathematical problems.
Learn and use the formulas for the volumes of cones, cylinders, and spheres to
solve real-world and mathematical problems.
Examine and apply the Pythagorean Theorem and its converse to find unknown side lengths.
Solve problems with right triangles and understand trigonometric ratios.
Define and work with complex numbers.
Derive the equation, center, and radius of a circle.
Examine angles and their measures, and identify and describe relationships among
Examine trigonometric functions using the unit circle.
Describe and use the relationship between the sine and cosine of complementary angles.
Explain ASA, SAS, and SSS criteria for congruent triangles.
Write mathematical proofs and apply that knowledge to simple geometric relationships.
Prove theorems about lines, angles, and triangles using similarity relationships.
Explore the use of congruence and similarity with triangles.

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