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.
Activity Title | Mathematical 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 |
Flight Headings: Using the Law of Cosines and Law of Sines |
Use the law of cosines Use the law of sines Use headings |
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 |
Free samples!
Download these free samples from Make It Real Learning series:
Samples from Activity Library, Volume I
Samples from Activity Library, Volume II
Sample of States by the Numbers series: North Dakota
Bundle specials!
Activity Library, Volume I. Price: $39.99
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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
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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
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Inludes all 50 States by the Numbers workbooks at a whopping 87% discount!
(Normal price would be 50 × $2.99 = $149.50)
You will be purchasing the download from my authorized reseller Comecero, LLC.
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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