Simultaneous Equations – Algebraic Solutions
By the end of this unit, students will be able to: understand the concept of simultaneous equations and their solutions using algebraic methods; solve pairs of linear equations algebraically to find the values of variables; apply their understanding to real-world scenarios involving systems of equations. Curriculum Alignment: Key Stage 4: Algebra solve 2 simultaneous equations […]
Substitutions
By the end of this unit, students will be able to: understand the concept of substitutions and their role in simplifying algebraic expressions and solving equations; apply substitution techniques to solve equations and simplify expressions; recognize situations where substitutions can be helpful and choose appropriate substitutions. Curriculum Alignment: Key Stage 4: Algebra simplify and manipulate […]
Solving Quadratic Equations
By the end of this unit, students will be able to: understand the concept of a quadratic equation and its solutions; apply different methods, including factoring, using the quadratic formula, and completing the square, to solve quadratic equations; Solve real-world problems involving quadratic equations. Curriculum Alignment: Key Stage 4: Algebra Solve quadratic equations {including those […]
Finding the Nth Term of a Quadratic Sequence
By the end of this unit, students will be able to: understand the concept of quadratic sequences and their properties; identify patterns and relationships in quadratic sequences; calculate the nth term of a given quadratic sequence. Curriculum Alignment: Key Stage 4: Algebra deduce expressions to calculate the nth term of linear {and quadratic} sequences.
Generating Linear Sequence
By the end of this unit, students will be able to: understand the concept of linear sequences and their properties; identify patterns and relationships in linear sequences; generate terms of a linear sequence using the common difference. Curriculum Alignment: Key Stage 4: Algebra recognise and use sequences of triangular, square and cube numbers, simple arithmetic […]
Midpoint of a Line
By the end of this unit, students will be able to: understand the concept of the midpoint and its significance in geometry; calculate the coordinates of the midpoint of a line segment given the endpoints; apply the concept of midpoint to solve real-world problems involving distances and averages. Curriculum Alignment: Key Stage 3: Algebra (Review) […]
3D Coordinates
Understand the concept of 3D coordinates and the three axes (x, y, and z) in three-dimensional space and represent and locate points in a three-dimensional Cartesian coordinate system.
Graphs of Inequalities
By the end of this unit, students will be able to: understand how to graph inequalities on the coordinate plane; graph linear inequalities and systems of linear inequalities; interpret and analyze the graphical representations of inequalities. Curriculum Alignment: Key Stage 4: Algebra solve linear inequalities in 1 {or 2} variable {s}, {and quadratic inequalities in […]
Changing the Subject
By the end of this unit, students will be able to: understand the concept of changing the subject and its importance in solving equations; rearrange equations to make a specific variable the subject; apply their understanding to solve problems involving changing the subject. Curriculum Alignment: Key Stage 4: Algebra Simplify and manipulate algebraic expressions (including […]
Factorising Quadratic Expressions of the form ax² + bx + c
By the end of this unit, students will be able to: understand the concept of factorization and its importance in algebra; apply different methods to factorize quadratic expressions, including common factors, grouping, and special patterns; solve quadratic equations by setting factors equal to zero. Curriculum Alignment: Key Stage 4: Algebra solve quadratic equations {including those […]