Year 12 Term 2

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Year 12 Term 2

Algebra: Interactive Lessons
Gradient and Midpoint of Line Segments
Ages 16 +

Gradient and Midpoint of Line Segments

Students learn how to work out the gradient and midpoint of line segments.
Algebra: Interactive Lessons
Equation of a Line Between Two Points
Ages 16 +

Equation of a Line Between Two Points

Students learn how to work out the equation of a straight line graph in the form ax + by + c = 0 from two points.
Algebra: Interactive Lessons
Equation of Parallel and Perpendicular Lines
Ages 16 +

Parallel and Perpendicular Lines

Students learn how to find the equation of parallel and perpendicular lines in the form ax + by + c = 0.
Algebra: Interactive Lessons
Intersections with Circles
Ages 16 +

Intersections with Circles

Students learn how to use simultaneous equation to find where a line intersects a circle.
Algebra: Interactive Lessons
Equation of a Circle
Ages 16 +

Equation of a Circle

Students learn how to use write the equation of a circle in the form (x + a)2 + (y + b)2 = r2
Algebra: Interactive Lessons
A-Level Mathematics slide titled "Circles and Chords Part 3: Find the equation of C" showing a red circle C on an xy-plane with a tangent line y = 2x - 1 passing through point A (2, 3) and point B (5, 0) on the x-axis.
Ages 16 +

Circles and Chords

Students explore the relationship between a chord and its perpendicular bisector to find the equation of a circle.
Algebra: Free Resources
Circles and Three Points
Ages 16 +

Circles and Three Points

Students learn how to find the equation of a circle when given three points along the circumference.
Algebra: Interactive Lessons
Dividing Polynomials
Ages 16 +

Dividing Polynomials

Students learn how divide with polynomials using long division methods.
Algebra: Interactive Lessons
Factor Theorem
Ages 16 +

Factor Theorem

Students learn how to calculate the roots of a cubic expression using the factor theorem.
Algebra: Interactive Lessons
Pascal's Triangle
Ages 16 +

Pascals Triangle

Students learn how to use Pascal's Triangle to expand expressions of the form (a + b)n.
Algebra: Free Resources
Binomial Expansion
Ages 16 +

Binomial Expansion

Students learn how to use the Binomial Expansion to expand expressions of the form (a + b)n.
Algebra: Interactive Lessons
Problems involving Binomial Expansion
Ages 16 +

Problems involving Binomial Expansion

How to use the binomial expansion to approximate solutions to complex calculations.
Shape: Interactive Lessons
Problems involving the Sine Rule
Ages 16 +

Problems involving the Sine Rule

Using the Sine Rule to find an unknown length or angle.
Shape: Interactive Lessons
Problems Involving the Cosine Rule
Ages 16 +

Problems Involving the Cosine Rule

Using the Cosine Rule to find a length and angle.
Shape: Interactive Lessons
Area of Non-Right-Angled Triangles
Ages 16 +

Area of Non-Right-Angled Triangles

Using the area rule to find the area of a triangle.
Shape: Interactive Lessons
Problems with Non-Right-Angled Triangles
Ages 16 +

Problems with Non-Right-Angled Triangles

Students learn how to solve problems involving non-right-angled triangles.

Mr Mathematics Blog

Developing Mathematical Thinking Beyond Procedural Fluency

July 10, 2026
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.

Converting Between Fractions, Decimals and Percentages

July 4, 2026
How to teach converting between fractions, decimals and percentages.

From Key Skills to Deep Connections: Problem Solving in Secondary Maths

June 28, 2026
Four problem solving lessons to develop student's mathematical reasoning and communication skills.