Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

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Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models

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Transcript of Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

Page 1: Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

Investigation 3: Inverse Variation

Chapter 1: Thinking with Mathematical Models

Page 2: Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

3.1 Rectangles With Fixed Area

Focus Question: When the product of two variables is some fixed number, what is the pattern of change and how is that pattern of change reflected in tables and graphs of the relationships?

Page 3: Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

Launch

What is area?

How do you find the area of a rectangle?

How can you write this area as a formula?

If you know the area of a rectangle, how can you find possible lengths and widths?

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I’m thinking of…

A rectangle with an area of 100 square units. It’s length is 8 units. What is it’s width?

12.5 units

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3.2 Distance, Speed & Time

Focus Question: What examples using distance, rate and time show one variable inversely related to another?

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SOME RECENT DEVELOPMENTS AND OPEN PROBLEMS MATHEMATICAL ...users.math.msu.edu/users/lamm/Preprints/Belo_Horizonte_survey/... · MATHEMATICAL INVERSE PROBLEMS ... inverse heat conduction,

SOME RECENT DEVELOPMENTS AND OPEN PROBLEMS MATHEMATICAL ...users.math.msu.edu/users/lamm/Preprints/Belo_Horizonte_survey/... · MATHEMATICAL INVERSE PROBLEMS ... inverse heat conduction,

Total Deep Variation for Linear Inverse Problemsopenaccess.thecvf.com/content_CVPR_2020/papers/... · Total Deep Variation for Linear Inverse Problems Erich Kobler†,∗ Alexander

Total Deep Variation for Linear Inverse Problemsopenaccess.thecvf.com/content_CVPR_2020/papers/... · Total Deep Variation for Linear Inverse Problems Erich Kobler†,∗ Alexander

1.11 Making Models Using Variation. 2 Objectives ► Direct Variation ► Inverse Variation ► Joint Variation.

1.11 Making Models Using Variation. 2 Objectives ► Direct Variation ► Inverse Variation ► Joint Variation.

Direct and Inverse Variation

Direct and Inverse Variation

Appendix D: Variation...Appendix D Variation D3 Inverse Variation Inverse Variation The following statements are equivalent. 1. y varies inversely as x. 2. y is inversely proportional

Appendix D: Variation...Appendix D Variation D3 Inverse Variation Inverse Variation The following statements are equivalent. 1. y varies inversely as x. 2. y is inversely proportional

Inverse Variations Lesson 11-6. An equation in the form of ____________________ or ____________ is an inverse variation,. The constant of variation is.

Inverse Variations Lesson 11-6. An equation in the form of ____________________ or ____________ is an inverse variation,. The constant of variation is.

8-1 Inverse Variation - Weeblydraulerson.weebly.com/.../21_-_inverse_variation.pdf · 2018. 8. 30. · As an equation, direct variation has the form y = kx, where k # 0. Inverse variation

8-1 Inverse Variation - Weeblydraulerson.weebly.com/.../21_-_inverse_variation.pdf · 2018. 8. 30. · As an equation, direct variation has the form y = kx, where k # 0. Inverse variation

Direct and Inverse Variation - CPM Educational Program

Direct and Inverse Variation - CPM Educational Program

Direct, Inverse, and Joint Variation - Boise State Universityedtech2.boisestate.edu/natecannon/541/00 ALL NOTES COMPLETED.pdf · Direct, Inverse, and Joint Variation. ... Equation

Direct, Inverse, and Joint Variation - Boise State Universityedtech2.boisestate.edu/natecannon/541/00 ALL NOTES COMPLETED.pdf · Direct, Inverse, and Joint Variation. ... Equation

Compare and Contrast Direct Inverse Variationanakamura.weebly.com/uploads/4/9/1/4/4914438/alg1x_12-1_lecture... · Inverse Variation Example 1: Graph an Inverse Variation Find an

Compare and Contrast Direct Inverse Variationanakamura.weebly.com/uploads/4/9/1/4/4914438/alg1x_12-1_lecture... · Inverse Variation Example 1: Graph an Inverse Variation Find an

Inverse, Joint, and Combined Variation

Inverse, Joint, and Combined Variation

Inverse Variation Investigate inverse variation through real- world problems Learn the basic inverse variation equations Graph inverse variation functions.

Inverse Variation Investigate inverse variation through real- world problems Learn the basic inverse variation equations Graph inverse variation functions.

Section 5.1.1 Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

Section 5.1.1 Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

Inverse Variation - Jefferson Forest High Schoolbedfordjfhs.sharpschool.net/UserFiles/Servers/Server...Inverse Variation *One element increases as the other decreases. Are the following

Inverse Variation - Jefferson Forest High Schoolbedfordjfhs.sharpschool.net/UserFiles/Servers/Server...Inverse Variation *One element increases as the other decreases. Are the following

5.1 Inverse & Joint Variation

5.1 Inverse & Joint Variation

Inverse Variation - Mrs. Book Loves Mathmrsbooklovesmath.weebly.com/uploads/3/8/9/3/38932927/... · 2018-10-17 · inverse or a direct variation. Explain. In an inverse variation,

Inverse Variation - Mrs. Book Loves Mathmrsbooklovesmath.weebly.com/uploads/3/8/9/3/38932927/... · 2018-10-17 · inverse or a direct variation. Explain. In an inverse variation,

Direct Inverse Variation Problems.

Direct Inverse Variation Problems.

92 direct and inverse variation graphs - kenstonlocal.org · 92 direct and inverse variation graphs Objectives: • To graph direct variation. • To graph inverse variation. •

92 direct and inverse variation graphs - kenstonlocal.org · 92 direct and inverse variation graphs Objectives: • To graph direct variation. • To graph inverse variation. •

2 Inverse variation - leafmaths.wikispaces.com · This chapter will show you ... Squares, square roots, cubes and cube roots of integers ... 2 Inverse variation

2 Inverse variation - leafmaths.wikispaces.com · This chapter will show you ... Squares, square roots, cubes and cube roots of integers ... 2 Inverse variation

Inverse Variation...inverse or a direct variation. Explain. In an inverse variation, xy equals a constant k. Find xy for each ordered pair in the table. 1 12 = 12 2 6 = 12 3 4 = 12

Inverse Variation...inverse or a direct variation. Explain. In an inverse variation, xy equals a constant k. Find xy for each ordered pair in the table. 1 12 = 12 2 6 = 12 3 4 = 12