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SAT Math Prep--Functions

In this module there is a thorough review of the topic of functions. This module covers five key areas: Definition of a function. Evaluating a function. The structure of linear functions. The structure of quadratic functions. Composite functions.

SAT Math Prep--Complex Numbers

In this module there is a complete review of the topic of complex numbers. This module covers six key areas: Definition of an imaginary number, Definition of a complex number, Calculating the modulus of a complex number, Adding and subtracting complex numbers, Multiplying and dividing complex numbers, Complex roots of quadratic equations.

SAT Math Prep—Quadratic Functions and Equations

In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas: 1. Definition of a quadratic function; 2. Definition of a quadratic equation; 3. Solving quadratic equations algebraically; 4. Solving quadratic functions graphically.

Linear Functions: Distance vs. Time

In this lesson students apply their understanding of linear functions to an analysis of distance vs. time functions. In particular students will: Define the function for finding distance given a constant speed. Graph the distance function and interpret slope, y-intercept, domain, and range.

The Archer Fish, Geometry, and Physics

The Archer Fish earns its name because it accurately sprays jets of water at insect prey, knocks them into the water, and has a quick meal. The ability to accurately do this has to overcome several geometric and physical challenges. In this module students explore these challenges in more detail.

Accident Investigation

When a driver slams the brakes on a car, skid marks are created on the road. Accident investigators can measure the length of the skid marks to estimate the speed of the car. This involves using a quadratic function.

Solving Two-Step Equations

In this module students learn how to solve two-step equations. Students are shown how to solve these equations using the Properties of Equality (Addition, Subtraction, Multiplication, and Division).

Wildlife Refuge

In this module students use their geometry and algebra skills to analyze a wildlife refuge in Nevada. Calculating the area, perimeter, and the ratio of the two allows students to analyze different configurations for a refuge. Specifically, they look at ways of designing a wild horse refuge, using the concepts they have learned. 

Apple Harvest

In this module students analyze real-world data relating to apple production and consumption. Looking at global and US data, students look at measures of central tendency by analyzing a box-and-whisker plot and later normal distribution graphs.

What Is Function Notation?

Cheetahs can accelerate up to 75 mph and can easily outpace a gazelle. But gazelles have adapted to keep cheetahs at bay long enough to tire them out. We can analyze this phenomenon mathematically through the use of some basic concepts involving functions.