Maths – Key Stage 3

Year 7

Half TermTopics to be coveredKey skills covered
Autumn HT 11. Four operations with integers
2. Four operations in context
3. Commutative operations
4. Odd, even, factors, multiples, prime & square numbers
5. Order of operations (BIDMAS)
6. Primes factors
7. Lowest common multiple (LCM)
8. Highest common Factor (HCF)
1. Determine the correct operation(s) to use to solve a contextualised problem and perform the calculation accurately clearly demonstrating their method.
2. Apply knowledge of inverse operations and recognise when an operation is commutative.
3. Apply their knowledge of factors and multiples to solving contextualised problems involving the LCM and HCF.
Autumn HT 21. Finding the value of a digit in a number
2. Four operations with decimals
3. Four operations with decimals in context
4. Ordering decimals
5. Multiplying/Dividing by powers of 10
6. Rounding
7. Estimating
8. Standard form
9. Four operations in standard form
1. Determine the correct operation(s) to use in order to solve contextualised problems involving decimals and money.
2. Identify the value of a digit in a number and order decimals (including those of differing lengths) and apply this to writing decimals in order of their size.
3. Apply rounding skills to estimate the value of calculation in order to sense check their answer.
4. Apply knowledge of multiplying and dividing by powers of 10 to writing very large and very small numbers in standard form and perform arithmetic in standard form including solving contextualized problems.
Spring HT 11. Substituting into worded expressions
2. Algebraic notation
3. Substituting into algebraic expressions
4. Function machines
5. Simplifying expressions
6. Forming expressions
7. Expanding brackets
8. Factorising expressions
9. Index Laws
1. Recognise and use correct algebraic notation and apply to substituting values in worded and algebraic expressions including problems in context.
2. Simplify algebraic expressions by grouping like terms and/or applying index laws.
3. Form expressions or equations from worded, in context problems.
4. Apply their knowledge of multiplication to expanding brackets (including a double brackets) and their knowledge of HCF to factorising expressions into one of two brackets.
Spring HT 21. Finding fractions of amounts
2. Express one number as a fraction of another
3. Equivalent fractions
4. Simplifying fractions
5. Ordering fractions
6. Fractions, decimals and percentages
7. Four operations with fractions
8. Convert between mixed numbers and fractions
9. Recurring decimals
10. Algebraic fractions
1. Recognise fractions as division and find fraction of amounts to solve contextualised problems.
2. Apply knowledge of factors and multiples to finding equivalent fractions and simplifying fractions.
3. Apply knowledge of division and multiplication to convert freely between fractions, decimals and percentages and apply knowledge of arithmetic with integers to contextualised problems involving fractions and mixed numbers.
Summer HT 11. Name 2D shapes
2. Name parts of circles
3. Find the area and perimeter of 2D shapes
4. Find the area and circumference of a circle
5. Classify shapes by their properties
6. Find similar and congruent shapes
7. Applying area and perimeter to finding missing lengths
8. Area and perimeter of compound shapes
9. Enlargement
1. Describe a 2D shape by its properties, apply angle facts to finding missing angles in triangles and quadrilaterals.
2. Learn and apply the formulas for area to find the area of 2D shapes, including trapeziums, compound shapes and circles as well as finding missing lengths.
3. Apply addition skills to calculating the perimeter of 2D shapes including the circumference of circles as well as finding missing lengths.
4. Apply knowledge of fractions to finding missing lengths in similar shapes and be able to form algebraic expressions for the area and perimeter of 2D shapes.
5. Apply the above skills to solving contextualise problems such as tiling a floor or fencing a garden.
Summer HT 21. Express probabilities as words, fractions, decimals and percentages
2. List all possible outcomes
3. Understand and use fact that probabilities of all possible events ass to 1
4. Calculate probabilities from frequency tables, frequency trees, two-way tables and Venn diagrams
5. Calculate relative frequency
6. Find theoretical probabilities
1. Identify probabilities as having worded descriptions, fractions, decimals and percentages and know that the probability of all possible events sum to one.
2. Calculate the probability of one event occurring as either a fraction, decimal or percentage and calculate expectation & relative frequency.
3. Use sample space diagrams to list all possible outcomes of two events, use probability to find the probability of conditional and unconditional events, place objects into Venn diagrams based on their properties and interpret Venn diagrams to calculate probabilities.