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Princeton Review

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Slope and Grade

In this lesson students learn how to use the slope formula to calculate steepness. In particular, students learn how to calculate steepness in the context of cycling. Cyclists use a measure called grade to calculate the steepness of a hill or mountain. Students apply their knowledge of slope to the concept of grade.

Applications of Linear Functions: Hooke's Law

In this module, students explore a physics-based application of linear functions: Hooke's Law. By exploring the properties of springs, a simple linear model is developed. Students then explore applications of Hooke's Law, from weight scales to bungee cords.

Introduction to Integers

In this module students learn the basics of integers, with plenty of real-world applications to ground their knowledge. Two short videos introduce the topic of integers and how to graph integers on a number line. A real world application of Superconductivity is explored.

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.

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 an Equation?

Your students may know how to solve equations, but do they know the underlying mathematical processes and properties involved in solving them? Do they have sufficient vocabulary to explain their steps in solving an equation? In this module they will learn (or review) foundational concepts involving equation solving.

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.