Trigonometric-Exact Values | Sine θ, Cosine θ and Tan θ
By the end of this unit, students will be able to: recall and use the exact values of sinθ, cosθ, and tanθ for θ= 0∘, 30∘, 45∘, 60∘, and 90∘; solve problems involving trigonometric functions using these exact values; apply their knowledge to real-world scenarios and geometric problems. Curriculum Alignment: Key Stage 4: Geometry and […]
Trigonometric Ratios | Sine-Cosine-Tangent
By the end of this unit, students will be able to: understand and apply Pythagoras’ Theorem to find missing lengths in right-angled triangles; use trigonometric ratios (sine, cosine, tangent) to find unknown angles and lengths in right-angled triangles; apply these concepts to solve problems involving both 2D and 3D figures. Curriculum Alignment: Key Stage 4: […]
Trigonometry-Finding Lengths and Angles
By the end of this unit, students will be able to: understand and apply Pythagoras’ Theorem to find missing lengths in right-angled triangles; use trigonometric ratios (sine, cosine, tangent) to find unknown angles and lengths in right-angled triangles; apply these concepts to solve problems involving both 2D and 3D figures. Curriculum Alignment: Key Stage 4: […]
Construct and Interpret Pie Charts
By the end of this unit, students will be able to: understand that pie charts represents quantities as sectors of a circle and use this to illustrate data; draw pie charts. Curriculum Alignment: Key Stage 4: Statistics construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for […]
Locus of a Point
Find and construct the locus of a point equidistant to two given points; midpoint and perpendicular bisector of a lines and angles; perpendicular from a point to a line.
Circle Theorems
Tangents to a Circle
By the end of this unit, students will be able to: understand the properties of tangents to a circle and their relationships with radii and angles; apply theorems involving tangents to solve problems and analyze geometric configurations; recognize scenarios where tangent properties are useful and apply them appropriately. Curriculum Alignment: Key Stage 4: Geometry and […]
Constructing and Bisecting Angles
By the end of this unit, students will be able to: construct and bisect any given angle. Curriculum Alignment: Key Stage 4: Geometry and Measures derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); […]
Geometric Triangle Construction
By the end of this unit, students will be able to: use ruler and a compass to construct equilateral triangles; use ruler and a compass to construct triangles given side lengths (SSS); use ruler, compass and protractor to construct triangles given two sides and an angle (SAS); use ruler, compass and protractor to construct triangles […]
Circle Theorems – Cyclic Quadrilaterals
By the end of this unit, students will be able to: understand and apply circle theorems to find missing angles in cyclic quadrilateral. Curriculum Alignment: Key Stage 4: Geometry and measures Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment {apply and prove the standard circle […]
Circle Theorem-Angles in the Same Segment
By the end of this unit, students will be able to: identify and apply circle definitions and properties, angles in the same segment. Curriculum Alignment: Key Stage 4: Geometry and Measures identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment {apply and prove the standard circle […]