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Can Area and Volume Have Linear Rules?

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Introduction to Linear Polynomials · Linear patterns, growth and decay · 3:40

You'll learn: Show how fixing other dimensions makes area or volume linear in one changing dimension.

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Can Area and Volume Have Linear Rules?

3:40

Playing

Can Area and Volume Have Linear Rules?

You'll learn: Show how fixing other dimensions makes area or volume linear in one changing dimension.

Now playing

Same topic

Linear patterns, growth and decay

6

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.
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.

Next topic

Growth and decay practice

2

Model a Growing Plant and a Growing Village
3:39
Model a Growing Plant and a Growing Village
You'll learn: Form increasing rules, make tables and predict future values.
Model a Phone’s Falling Value and a Prepaid Balance
3:35
Model a Phone’s Falling Value and a Prepaid Balance
You'll learn: Form decreasing rules and interpret an exhaustion or depreciation calculation.

Next topic

Finding linear relationships

3

Find a Fixed Fee and a Per-GB Charge from Two Bills
3:36
Find a Fixed Fee and a Per-GB Charge from Two Bills
You'll learn: Build two conditions and recover the parameters in y=ax+b.
Recover Pricing Rules for Learning Modules and Court Time
3:32
Recover Pricing Rules for Learning Modules and Court Time
You'll learn: Transfer the two-observation method to other fixed-fee situations.
Build the Celsius–Fahrenheit Relationship
3:43
Build the Celsius–Fahrenheit Relationship
You'll learn: Use two known temperature pairs to determine a and b.

Next topic

Graphs, slope and intercept

4

Draw a Linear Relationship Using Two Points
3:32
Draw a Linear Relationship Using Two Points
You'll learn: Turn an equation into coordinate pairs and draw the corresponding straight line.
Does a Point Belong to the Line?
3:21
Does a Point Belong to the Line?
You'll learn: Complete a value table and verify point membership by substitution.
Read a Linear Rule from Its Plotted Points
3:31
Read a Linear Rule from Its Plotted Points
You'll learn: Identify a coordinate relationship from positive and negative input-output pairs.
What Does a Positive Slope Change?
3:28
What Does a Positive Slope Change?
You'll learn: Compare rising lines through the origin and relate coefficient size to steepness.