Negative and Zero Vectors
Become a Member Description By the end of this unit, students will be able to: Understand that column vectors can represent the position of an object in three-dimensional space. Each component of the vector corresponds to the object’s coordinates along the x, y, and z axes. Understand the relationship between column vectors and transformations such […]
Scalar Multiplications of Vectors
Become a Member Description By the end of this unit, students will be able to: multiply vectors by scalars; understand the effect of scalar multiplication on the magnitude and direction of vectors. National Curriculum Objectives Key Stage 3: Number describe translations as 2D vectors apply addition and subtraction of vectors, multiplication of vectors by a […]
Angles and Bearings
Explore angles and bearings with this printable worksheet, designed to help students consolidate their understanding how to measure angles accurately and apply bearings in navigation.
Column Representations of Vectors
By the end of this unit, students will be able to: understand that column vectors can represent the position of an object in three-dimensional space. Each component of the vector corresponds to the object’s coordinates along the x, y, and z axes; understand the relationship between column vectors and transformations such as translations, rotations, and […]
Introduction to Vectors
By the end of this unit, students will be able to: define what vectors are and distinguish them from scalar quantities; recognize that vectors have both magnitude and direction; understand vector notation and how it is used to represent vectors; represent vectors geometrically using arrows in a coordinate system. Curriculum Alignment: Key Stage 3: Number […]
Probability of Mutually Exclusive Events
Learn how to identify mutually exclusive events, where only one outcome can happen at a time. Understand why the probabilities of an exhaustive set of events always add up to 1, and use the addition law to calculate the probability of events that cannot occur together.
Pythagorean Theorem – Finding Side Lengths
In this lesson, learners will learn how to calculate, estimate and compare the volume of cubes and cuboids; and extend this knowledge to other units [for example, mm³ and km³].
Applying Pythagoras Theorem in 3D
In this lesson, learners will learn how to calculate, estimate and compare the volume of cubes and cuboids; and extend this knowledge to other units [for example, mm³ and km³].
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: […]