Finding Coordinates of the Midpoint on a Grid
By the end of this unit, students will be able to: understand the concept of the Difference of Two Squares and recognize its specific form; apply the Difference of Two Squares factorization technique to factorize expressions; solve problems involving expressions that can be factored using the Difference of Two Squares. Curriculum Alignment: Key Stage 3: […]
Calculating Midpoint in 3D Coordinates
By the end of this unit, students will be able to: understand the concept of the 3 dimensional space on a coordinate grid; calculate the distance between points in 3d space; find the midpoint between two coordinates in a 3d space. Curriculum Alignment: Key Stage 3: Algebra (Review) work with coordinates in all 4 quadrants.
Factorising Quadratic Expressions of the form x² + 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 where the coefficient of x is 1; factorise expressions involving negative numbers. Curriculum Alignment: Key Stage 4: Algebra factorising quadratic expressions of the form x2 + bx + […]
Linear Sequence – Finding the Nth Term
By the end of this unit, students will be able to: understand the concept of linear sequences and their properties; identify the common difference in a linear sequence and use it to find the nth term; apply their understanding to solve problems involving linear sequences. Curriculum Alignment: Key Stage 4: Algebra deduce expressions to calculate […]
Using Quadratic Formulae to Find the Nth Term
By the end of this unit, students will be able to: understand the concept of a quadratic sequence and its properties; apply the quadratic formula to find the nth term of a quadratic sequence; solve problems involving quadratic sequences and their nth terms. Curriculum Alignment: Key Stage 4: Algebra deduce expressions to calculate the nth […]
Difference of Two Squares
By the end of this unit, students will be able to: understand the concept of the Difference of Two Squares and recognize its specific form; apply the Difference of Two Squares factorization technique to factorize expressions; solve problems involving expressions that can be factored using the Difference of Two Squares. Curriculum Alignment: Key Stage 4: […]
Simultaneous Equations – Graphical Solutions
By the end of this unit, students will be able to: understand the concept of graphical solutions for simultaneous equations; graphically represent pairs of linear equations and find their intersection point(s); apply their understanding to real-world scenarios involving systems of equations. Curriculum Alignment: Key Stage 4: Algebra solve 2 simultaneous equations in 2 variables (linear/linear […]
Transforming Graphs
By the end of this unit, students will be able to: understand the different types of graph transformations, including translations, reflections, stretches, and compressions; apply transformation rules to graph various functions and shapes; interpret how transformations affect the behaviour and appearance of functions and shapes. Curriculum Alignment: Key Stage 4: Algebra recognise, sketch and interpret […]
Trial and Improvement
By the end of this unit, students will be able to: understand the trial and improvement method and its applications in problem-solving; apply trial and improvement to solve equations or problems with approximate solutions; analyze the accuracy and limitations of trial and improvement. Curriculum Alignment: Key Stage 4: Algebra simplify and manipulate algebraic expressions (including […]
Represent Inequalities on a Number Line
By the end of this unit, students will be able to: understand how to represent inequalities on a number line; graph linear and quadratic inequalities on a number line; analyze and interpret solutions of inequalities in a real-world context. Curriculum Alignment: Key Stage 4: Algebra solve linear inequalities in 1 {or 2} variable {s}, {and […]