# Higher Tier

### Circle Theorems – Complete Unit of Work

In this unit, students will use circle theorems to solve angle problems. They will learn how to prove and use the facts that the angle in a semi-circle is 90°,…

### Circle Theorems: Alternate Segment Theorem – Complete Lesson

This is a complete lesson on the alternate segment theorem that will teach students to prove and use the alternate segment theorem. The lesson is designed with the new GCSE…

### Circle Theorems: Tangent Properties – Complete Lesson

This is a complete lesson on tangent properties that will teach students to prove and use properties of tangents to circles. The lesson is designed with the new GCSE specification…

### Circle Theorems: Cyclic Quadrilaterals – Complete Lesson

This is a complete lesson on cyclic quadrilaterals that will teach students to prove and use the rule that opposite angles in a cyclic quadrilateral add up to 180 degrees.…

### Circle Theorems: Chord Properties – Complete Lesson

This is a complete lesson on chord properties that will teach students to prove and use the rule that the perpendicular from the centre of a circle bisects a chord. The…

### Circle Theorems: Angles in Same Segment – Complete Lesson

This is a complete lesson on angles in the same segment that will teach students to prove and use the rule that angles in the same segment are equal. The…

### Circle Theorems: Angles at Centre & Circumference – Complete Lesson

This is a complete lesson on angles at the centre and the circumference that will teach students to prove and use the rule that the angle at the centre of…

### Circle Theorems: Angles in a Semi-Circle – Complete Lesson

This is a complete lesson on angles in a semi-circle that will teach students to prove and use the rule that the angle in a semi-circle is a right angle.…

### Solving Quadratic Inequalities – Complete Lesson

This is a complete lesson on solving quadratic inequalities that looks at how to use graphs to express solution sets to quadratic inequalities, including using set notation. The lesson is…

### Solving Inequalities Graphically – Complete Lesson

This is a complete lesson on solving inequalities graphically that looks at how to represent the solutions sets of one or more inequalities on a graph. The lesson is designed…

### Solving Equations Graphically – Complete Unit of Work

In this unit students will learn how to use graphs to solve different types of equations and inequalities. They will start by sketching quadratic graphs, finding key points on those…

### Solving Simultaneous Equations Graphically – Complete Lesson

This is a complete lesson on solving simultaneous equations graphically that looks at how to use the intersections of graphs to find solutions to simultaneous equations. The lesson is designed…