Finding the Next Term of a Sequence
By the end of this unit, students will be able to: identify and describe different types of sequences, including arithmetic and geometric sequences; generate terms of the sequence from either a term-to-term or a position-to-term rule. Curriculum Alignment: KS3 Mathematics: Algebra generate terms of a sequence from either a term-to-term or a position-to-term rule recognise […]
Estimating the Answers to Calculations
By the end of this unit, students will be able to: use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x≤b. Curriculum Alignment: Key Stage 3: Number use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x≤b
Converting Fractions to Percentages
Convert a fraction to a percentage by using fraction equivalence or by writing one quantity as a percentage of another. Apply these essential skills to solve practical, real-world problems effectively.
Formulae for General Term in a Sequence
By the end of this unit, students will be able to: recognize and describe numerical patterns and relationships; generate sequences of numbers based on given rules or patterns; extend and predict terms in sequences using the identified rules; apply the concept of generating sequences to real-life and mathematical problems. Curriculum Alignment: KS3 Mathematics: Algebra generate […]
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 […]