Strand 4: Algebra

Ronan Downes, Mar 11, 2020

Table of Contents

  1. 4.1 (a) Generating arithmetic expressions from repeating patterns
    1. Sequences (Dynamic Illustrator)
    2. Cubic Functions 7(a)
  2. 4.1 (b) Representing situations with tables, diagrams and graphs
    1. Transformations Sets 1 to 6
  3. Transformation of Function
    1. Absolute Value Function
    2. Quadratic in Vertex form with Key Features
    3. Square Root Function
    4. Rational Functions
    5. Exponential Functions
    6. Logarithmic Functions

1.

4.1 (a) Generating arithmetic expressions from repeating patterns

  • 1. Sequences (Dynamic Illustrator)
  • 2. Cubic Functions 7(a)

1.1.

Sequences (Dynamic Illustrator)

[b]A[/b] [color=#38761d][b]sequence[/b][/color][b] is a function whose[/b] [color=#38761d][b]domain is the set of positive (or sometimes, nonnegative) integers[/b][/color]. [br][br]Recall the domain of a function is the set of all values that can be inputted into the function. [br][br]The following applet dynamically and graphically illustrates the meaning of a [color=#38761d][b]sequence[/b][/color]. [br]Feel free to re-author the [color=#38761d][b]explicit formula for this sequence[/b][/color] in the upper left-hand corner. [br]
– Tim Brzezinski

1.2.

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2.

4.1 (b) Representing situations with tables, diagrams and graphs

  • 1. Transformations Sets 1 to 6

2.1.

Transformations Sets 1 to 6

– Ronan Downes, PDST PP Maths Team

3.

Transformation of Function

  • 1. Absolute Value Function
  • 2. Quadratic in Vertex form with Key Features
  • 3. Square Root Function
  • 4. Rational Functions
  • 5. Exponential Functions
  • 6. Logarithmic Functions

3.1.

Absolute Value Function

Absolute Value Function
– Duke

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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