Applications of Linear Functions: Temperature Conversion
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Applications of Linear Functions: Temperature Conversion
Temperature is one of the most important measurements that we deal with on a daily basis. Weather, climate, food preparation, health, and other phenomena involve some type of temperature measure. The two most common units of temperature measure are Fahrenheit and Celsius. In this module, students learn about the linear function that converts from one system 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.
Hooke's Law
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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.
Applications of Linear Functions: Cricket Chirps
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Applications of Linear Functions: Cricket Chirps
Crickets are known for their chirping sounds. But did you know that the number of times a cricket chirps per minute is an indicator of the outside temperature? In fact, the relationship between cricket chirps and the outside temperature can be modeled by a linear function. In this module, students will explore the function that can be used to determine the outside temperature based on the number of times a cricket chirps per minute.
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.
The Language of Math: Subtraction Expressions
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The Language of Math: Subtraction Expressions
In this module students develop their skills at translating version expressions into mathematical ones. This is a crucial skill that often doesn't get enough attention. A student's ability to successfully translate words into mathematical expressions and equations puts that student on a path to successfully solving more complicated problems.
The Language of Math: Addition Expressions
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The Language of Math: Addition Expressions
In this module students develop their skills at translating verbal statements into addition expressions. Students work with numerical expressions and also variable expressions. They then apply their skills to the real-world context of weather reporting.
Modeling Integers with Algebra Tiles
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Modeling Integers with Algebra Tiles
In this module model students will learn how to use algebra tiles to model positive numbers, negative numbers, and zero. For this module make sure students have access to set of algebra tiles to use to model integers. Students will then extend their knowledge of integers to learn about matter and anti-matter.