What Are Domain and Range?
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What Are Domain and Range?
What do drones have to do with domain and range? In this module, students learn about an emerging high-tech delivery system and use that as a vehicle for learning about a function's domain and range. Students will graph data from a table and explore domain and range, and then they graph a continuous function. This highly engaging module will give students a solid understanding of algebraic functions, specifically domain and range.
What Is a Function?
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What Is a Function?
In algebra, the topic of functions is extremely important. But what is a function? In this module students will learn what a function is and how to represent it. They'll explore data tables, graphs, and equations. Plus, they'll see the connection from one to the other.
Applications of Linear Functions: Speed and Acceleration
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Applications of Linear Functions: Speed and Acceleration
When a rocket is launched into space, it starts from rest and within minutes reaches speeds of tens of thousands kilometers per hour. In other words, the rocket accelerates. In this module, students apply their knowledge of linear functions to explore the speed vs. time function. In the process they learn about acceleration, as well as the properties of this linear function.
Slope and Grade
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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.
Linear Functions: Distance vs. Time
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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.
Linear Function Models
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Linear Function Models
In this module students learn the properties of linear functions. They look at data sets, graphs of coordinates, and algebraic representations of functions. Then students go on a field trip to the US Mint to see how money is printed. From this they develop linear function models for calculating the number of bills printed, along with their dollar value.