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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010162823 | QA154.2 M62 2006 | Open Access Book | Book | Searching... |
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Summary
Summary
An innovative course that offers students an exciting new perspective on mathematics, Modeling With Mathematics explores how mathematics can help explore problems real people encounter in their jobs and lives. Mathematical modeling and a data-driven approach to exploring functions helps students deepen their mathematical skills and maturity. Modeling With Mathematics: A Bridge To Algebra II has been designed for students who have completed Algebra I or Algebra I and Geometry but need review practice and motivation to succeed in Algebra II. In addition the course gives students a look ahead to many Algebra II topics.
Modeling With Mathematics: A Bridge To Algebra II list serv
http://www.whfreeman.com/bridgelistserv.pdf As a service to instructors using Modeling With Mathematics: A Bridge To Algebra II , a listserv has been designed as a forum to share ideas, ask questions and learn new ways to enhance the learning experience for their students.
Table of Contents
| 1 Science: Modeling with Direct and Inverse Variation |
| How do scientists use mathematics to explore and understand our world? |
| Key Mathematical Skills |
| Input and output variables |
| Direct Variation |
| Inverse Variation |
| Polynomials |
| Slope |
| Working with expressions |
| 2 Bones: Using Linear Function to Make Predictions |
| How does statistics help solve the mystery of Amelia Earhardt? |
| Key Mathematical Skills |
| Data analysis |
| Box plots |
| Histograms |
| Scatter plots |
| Residuals |
| Linear equations |
| Linear functions |
| Best-fit criteria |
| 3 Building a Business: Systems of Equations and Inequalities |
| How can a few equations help make better business decisions? |
| Key Mathematical Skills |
| Systems of equations |
| Matrices |
| Matrix addition |
| Matrix subtraction |
| Matrix multiplication |
| Systems of inequalities |
| Linear programming |
| 4 Art: Transformations, Symmetry and Proportions |
| Is there a connection between mathematics and beauty? |
| Key Mathematical Skills |
| Scale |
| Proportion |
| Parallel lines |
| Depth |
| 45-45-90 right triangles |
| 30-60-90 right triangles |
| Similar triangles |
| 5 Motion: Quadratic Functions |
| How does mathematics help plan for action-packed movie stunts? |
| Key Mathematical Skills |
| Quadratic functions |
| Area models |
| Parent functions |
| Vertex forms of quadratics |
| Inverse operations |
| 6 Growth: Exponential and Logarithmic Functions |
| How can functions model the population of an endangered species? |
| Key Mathematical Skills |
| Exponential functions |
| Function notation |
| Inequalities |
| Growth and decay |
| Laws of exponents |
| Logarithmic functions |
| 7 Money and You: Mathematics of Finance II |
| Can I use mathematics to make the right purchasing and financial planning decisions? |
| Key Mathematical Skills |
| Developing function rules |
| Computing compound interest |
| Amortization (and lease vs. buy scenarios) |
| Depreciation |
| Future value and inflation |
| 8 Cycles: Trigonometry and Sinosoidal Functions |
| How do functions predict how things move and sound? |
| Key Mathematical Skills |
| Pythagorean theorem |
| Right triangle relationships |
| Trigonometric ratios: sine, cosine, tangent |
| Inverse trigonometric ratios |
| Periodic functions and motion |
| Sinosoidal funtions |
| Trigonometric graphs |
