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You are here: HomeMake It Real Learning → Periodic and Piecewise II

46 pages
(10 activities)

# Introduction

The Make It Real Learning Periodic and Piecewise II workbook focuses on real-world situations that may be effectively modeled mathematically with trigonometic and piecewise functions. book suits best high school algebra.

From studying phases of the moon to analyzing energy prices using piecewise functions, learners get to use mathematical modeling in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. sunrise and sunset times, residential energy rates), not just "realistic" data.

The workbook includes 10 activities focused on helping learners master the Common Core State Standards for Mathematics (www.corestandards.org). Each workbook activity focuses on making sense of mathematics in a real-world context. Mastering mathematics means more than memorizing procedures. Learners need to discover how to think critically and use mathematics as a tool to better understand the world.

There are multiple ways to use the activities of the book in a teaching environment. The activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions.

As a ready-resource for teachers, the workbook also includes completely worked-out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity.

## Arithmetic II Activity List

Activity TitleMathematical Objectives
Airports and Angles:
Using the Law of Cosines and Law of Sines
Use the law of cosines
Use the law of sines
Use compass direction
Using the Law of Cosines and Law of Sines
Use the law of cosines
Use the law of sines
Fruit Snacks Interactive:
Working with Averages
Determine mean, median and mode.
Use these to predict contents of a fruit snack bag
Cooking Times:
Working with Piecewise Functions
Understanding a piecewise function
Write a formula for a piecewise function
Graphing a piecewise function
Phases of the Moon:
Working with Trigonometric Modeling
Interpret a function involving cosine in a real-world setting
Graph the function
Use the graph of the function
Average High Temperatures:
Using Trigonometric Modeling
Interpret a function involving cosine in a real-world setting
Graph the function
Use the graph of the function
Average Low Temperatures:
Using Trigonometric Modeling
Interpret a function involving cosine in a real-world setting
Graph the function
Use the graph of the function
Meteorology:
Working with Sinusoidal Models
Interpret and use a graph of a sinusoidal function
Write a sinusoidal function that fits a given graph.
Sound Waves:
Working with Sinusoidal Models
Interpret and use a graph of a sinusoidal function
Write a sinusoidal function that fits a given graph.
Energy Prices:
Working with Piecewise Functions
Derive a formula for a piecewise function
Evaluate & interpret a piecewise function
Graph a piecewise function

Bundle specials!

Activity Library, Volume I. Price: \$39.99
Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!

Activity Library, Volume II. Price: \$39.99
Includes 11 Make It Real Learning activity workbooks for the price of 8! You get three workbooks for free!

States by the Numbers Bundle. Price: \$19.99
Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × \$2.99 = \$149.50)

By purchasing any of the Make It Real Learning workbooks, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

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