Addition and Subtraction of Decimals
Master decimals and their connection to whole numbers. Learn to accurately add and subtract decimals, then apply these essential skills to solve both mathematical and real-world problems.
Formal Methods: Adding Integers
By the end of this unit, students will: Understand the concept of integers, including positive and negative numbers. Add positive and negative integers using formal methods accurately. Apply the concept of adding integers to real-life and mathematical problems. Curriculum Alignment: Key Stage 3: Number Use the 4 operations, including formal written methods, applied to integers, […]
Representations of Fractions
By the end of this unit, students will: Understand the concept of fractions as parts of a whole. Represent fractions using visual models, number lines, and symbolic notation. Compare and order fractions based on their representations. Apply the concept of representing fractions to solve real-life and mathematical problems. Curriculum Alignment: Key Stage 3: Number Use […]
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 […]
Quadratic Formula
By the end of this unit, students will be able to: understand the quadratic formula and its application in solving quadratic equations; apply the quadratic formula to find real and complex solutions for quadratic equations; interpret and analyze solutions in the context of real-world problems. Curriculum Alignment: Key Stage 4: Algebra Solve quadratic equations {including […]
Solving Inequalities
By the end of this unit, students will be able to: understand the concept of inequalities and their solutions; solve linear inequalities, quadratic inequalities, and compound inequalities; apply inequality solutions to real-world scenarios. Curriculum Alignment: Key Stage 4: Algebra solve linear inequalities in 1 {or 2} variable {s}, {and quadratic inequalities in 1 variable}; represent […]
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 […]