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Is a Point Inside, On or Outside a Circle?

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Orienting Yourself: The Use of Coordinates · Challenge explorations · 4:14

You'll learn: Find a common radius from distances to the origin and classify additional points.

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Is a Point Inside, On or Outside a Circle?

4:14

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Is a Point Inside, On or Outside a Circle?

You'll learn: Find a common radius from distances to the origin and classify additional points.

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Challenge explorations

6

Are Three Points on One Straight Line?
4:20
Are Three Points on One Straight Line?
You'll learn: Use distance addition to test collinearity, then plot both sets to verify.
Build Isosceles Triangles Using Coordinates
4:06
Build Isosceles Triangles Using Coordinates
You'll learn: Construct the two requested triangle types and verify their properties.
What Makes a Point the Midpoint?
4:28
What Makes a Point the Midpoint?
You'll learn: Check that a midpoint lies on the segment and divides it equally. Discover coordinate averages.
Find a Missing Endpoint from the Midpoint
4:12
Find a Missing Endpoint from the Midpoint
You'll learn: Reverse the coordinate-average relationship to find an unknown endpoint.
Divide a Segment into Three Equal Parts
4:00
Divide a Segment into Three Equal Parts
You'll learn: Extend equal division from halves to thirds and find both internal division points.
Rebuild a Triangle from Its Side Midpoints
4:28
Rebuild a Triangle from Its Side Midpoints
You'll learn: Combine three midpoint relationships to recover the original triangle vertices.

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Expressions and polynomials

7

Build an Algebraic Expression from a Shopping Story
3:48
Build an Algebraic Expression from a Shopping Story
You'll learn: Translate quantities, repeated groups and a fixed extra into an expression. Identify terms, variables and constants.
Why Do Fencing and Planting Produce Different Terms?
3:50
Why Do Fencing and Planting Produce Different Terms?
You'll learn: Model boundary costs and area costs and compare their algebraic terms.
One Wire, Many Rectangles: Express the Area
3:48
One Wire, Many Rectangles: Express the Area
You'll learn: Use a fixed perimeter to express width and area using one variable.
What Is a Polynomial in One Variable?
4:10
What Is a Polynomial in One Variable?
You'll learn: Distinguish expressions involving one variable from the opening two-variable examples.
Find Coefficients, Constant Terms and Missing Terms
3:49
Find Coefficients, Constant Terms and Missing Terms
You'll learn: Read signed coefficients and recognise an absent power as having coefficient zero.
Degree: The Highest Power Tells the Type
3:53
Degree: The Highest Power Tells the Type
You'll learn: Identify constant, linear, quadratic and cubic polynomials and construct examples.
What Makes a Polynomial Linear?
3:50
What Makes a Polynomial Linear?
You'll learn: Recognise degree-one expressions and distinguish them from quadratic and cubic forms.

Next topic

Linear rules and equations

2

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.