Quadratic Functions

julia bagdadi, Feb 11, 2017

Adapted from the e-textbook VisualMath developed by Yerushalmy, Shternberg & Katriel [url]http://visualmath.haifa.ac.il/en[/url]

Table of Contents

  1. Products of Linear Functions
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Exercise 4
    5. Exercise 5
    6. Exercise 6
    7. Exercise 7
    8. Exercise 8
    9. Exercise 9
    10. Task - What Times What
    11. Task - Constructing Product Functions
    12. Products of Linear Functions - Exposition
    13. Factoring -task
    14. An optimization problem - task
    15. An optimization problem II
    16. Optimal fencing
    17. An optimization problem III
    18. Designing a Box
  2. Adding Functions
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Exercise 4
    5. Exercise 5
    6. Exercise 6
    7. Constructing Functions in Polynomial Form - Task
    8. Changing a Coefficient - Task
    9. Green Areas - Task
    10. Family Features I - Task
    11. Family Features II - Task
    12. Carpenter's Problem - task
  3. Graph Transformations
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Constructing Functions by Transformations of f(x)=x²- task
    5. Tag 1- Task
    6. Tag 2 - Task
  4. Solving equations
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Exercise 4
    5. Exercise 5
    6. Exercise 6
    7. Exercise 7
    8. The Difference Equation - task
    9. Cutting Circles
    10. Isosceles Triangles
    11. Pairs of Numbers with Equal Sums and Products
    12. Table Designs - task
    13. Warm-up-task
  5. Equivalent Quadratic Expressions
    1. Exercise 7
    2. Exercise 8
    3. Exercise 9
    4. Exercise 10
    5. Exercise 11
    6. Exercise 12
  6. Graphic Design
    1. Saving Paper - Task
    2. The Golden Rectangle - Task
    3. The Importance of Margins - Task
    4. Page Design Tool
    5. Designing an Ad - Task
  7. test
    1. test

1.

Products of Linear Functions

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Exercise 4
  • 5. Exercise 5
  • 6. Exercise 6
  • 7. Exercise 7
  • 8. Exercise 8
  • 9. Exercise 9
  • 10. Task - What Times What
  • 11. Task - Constructing Product Functions
  • 12. Products of Linear Functions - Exposition
  • 13. Factoring -task
  • 14. An optimization problem - task
  • 15. An optimization problem II
  • 16. Optimal fencing
  • 17. An optimization problem III
  • 18. Designing a Box

1.1.

Exercise 1

– julia bagdadi

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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1.17.

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1.18.

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2.

Adding Functions

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Exercise 4
  • 5. Exercise 5
  • 6. Exercise 6
  • 7. Constructing Functions in Polynomial Form - Task
  • 8. Changing a Coefficient - Task
  • 9. Green Areas - Task
  • 10. Family Features I - Task
  • 11. Family Features II - Task
  • 12. Carpenter's Problem - task

2.1.

Exercise 1

– julia bagdadi

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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3.

Graph Transformations

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Constructing Functions by Transformations of f(x)=x²- task
  • 5. Tag 1- Task
  • 6. Tag 2 - Task

3.1.

Exercise 1

– julia bagdadi

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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4.

Solving equations

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Exercise 4
  • 5. Exercise 5
  • 6. Exercise 6
  • 7. Exercise 7
  • 8. The Difference Equation - task
  • 9. Cutting Circles
  • 10. Isosceles Triangles
  • 11. Pairs of Numbers with Equal Sums and Products
  • 12. Table Designs - task
  • 13. Warm-up-task

4.1.

Exercise 1

– julia bagdadi

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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5.

Equivalent Quadratic Expressions

  • 1. Exercise 7
  • 2. Exercise 8
  • 3. Exercise 9
  • 4. Exercise 10
  • 5. Exercise 11
  • 6. Exercise 12

5.1.

Exercise 7

– julia bagdadi

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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6.

Graphic Design

  • 1. Saving Paper - Task
  • 2. The Golden Rectangle - Task
  • 3. The Importance of Margins - Task
  • 4. Page Design Tool
  • 5. Designing an Ad - Task

6.1.

Saving Paper - Task

Consider the follow design.[br]You have been hired as a mathematical consultant for the redesign of the books to a new, environment-friendly edition, in which the design will be changed so, that the amount of paper needed to print each book will be reduced by 20%.[br]There are various ways to change the design. For example, retaining the size of the page and changing the size of the margins and text area. Two such possibilities appear in the dynamic figures to the right.[br][list][*]Suggest several ways for redesigning the book (those here and your own). Describe your methods precisely.[/*][*]Suggest a redesign plan that saves 20% of the paper.[/*][/list]
– julia bagdadi

6.2.

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6.3.

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6.4.

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6.5.

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7.

test

  • 1. test

7.1.

test

– julia bagdadi

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