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A Polynomial as an Input-Output Machine

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Introduction to Linear Polynomials · Linear rules and equations · 3:54

You'll learn: Explain substitution as a sequence of operations producing an output.

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A Polynomial as an Input-Output Machine

3:54

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A Polynomial as an Input-Output Machine

You'll learn: Explain substitution as a sequence of operations producing an output.

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Same topic

Linear rules and equations

4

A Square’s Perimeter Grows at a Constant Rate
3:53
A Square’s Perimeter Grows at a Constant Rate
You'll learn: Connect a change in side length to a constant change in perimeter.
Joining Fee Plus Match Fee: Build a Linear Rule
3:48
Joining Fee Plus Match Fee: Build a Linear Rule
You'll learn: Separate a starting amount from an amount added per match and work backwards from a total.
When Does an Expression Become an Equation?
3:57
When Does an Expression Become an Equation?
You'll learn: Distinguish a polynomial from a statement equating it to a known total.
Evaluate Polynomials with Positive, Zero and Negative Inputs
3:56
Evaluate Polynomials with Positive, Zero and Negative Inputs
You'll learn: Substitute carefully and distinguish squaring a negative value from multiplying a signed coefficient.

Next topic

Equations in practical situations

4

How Old Are Salil and His Mother?
3:55
How Old Are Salil and His Mother?
You'll learn: Translate an age relationship and a future total into one equation.
Use a Ratio to Split a Total or Difference
3:53
Use a Ratio to Split a Total or Difference
You'll learn: Represent related quantities using one variable and solve.
Coin Counts and Coin Values Are Different
3:45
Coin Counts and Coin Values Are Different
You'll learn: Represent the number of each coin and build the total-money equation.
Recover a Rectangle’s Dimensions from Its Perimeter
3:53
Recover a Rectangle’s Dimensions from Its Perimeter
You'll learn: Express length through width and solve the perimeter condition.

Next topic

Linear patterns, growth and decay

7

See Why the Tile Pattern Has 2n−1 Tiles
3:45
See Why the Tile Pattern Has 2n−1 Tiles
You'll learn: Connect the growing picture, a value table and a general rule.
Find a Distant Stage—or Work Back from the Tile Count
3:50
Find a Distant Stage—or Work Back from the Tile Count
You'll learn: Use a stage rule in both directions.
Pocket Money Can Follow a Decreasing Linear Pattern
3:21
Pocket Money Can Follow a Decreasing Linear Pattern
You'll learn: Build and interpret a decreasing rule and solve for a target balance.
Why the Auto Fare Rule Starts After the First Two Kilometres
3:50
Why the Auto Fare Rule Starts After the First Two Kilometres
You'll learn: Separate the initial flat fare from later per-kilometre charges.
Can Area and Volume Have Linear Rules?
3:40
Can Area and Volume Have Linear Rules?
You'll learn: Show how fixing other dimensions makes area or volume linear in one changing dimension.
Recognise Linear Growth from Equal Increases
3:31
Recognise Linear Growth from Equal Increases
You'll learn: Read starting value and constant increase from a context and a table.
Recognise Linear Decay from Equal Decreases
3:22
Recognise Linear Decay from Equal Decreases
You'll learn: Model a quantity falling by the same amount per time interval.