Key Stage 3

Year 7

Intent

Our Year 7 maths curriculum interleaves both new and old, beginning with an exploration of new algebraic concepts before then revisiting more familiar themes of number and geometry; in doing so students build on, and enhance, their existing Key Stage 2 knowledge and skills. They become increasingly familiar and confident with number problems, both with and without the use of a scientific calculator, considering where we experience these in our daily lives. They also have the opportunity to explore probability for the first time.

Learning Journey

Themes, Concepts and Questions
  • Sequences – HT1
  • Algebraic notation – HT1
  • Equality and equivalence – HT1
Key Knowledge
  • Patterns
  • Formula
  • Function
  • Inverse
  • Variable
  • Simplify
  • Solve
  • Equation
Themes, Concepts and Questions
  • Place value – HT2
  • Solve problems with the four operations – HT2-3
  • Directed number – HT3-4
  • Number sense HT5-6
  • Prime numbers and proof HT6
Key Knowledge
  • Place Value
  • Digit
  • Integer
  • Inequality
  • Average
  • Associative
  • Commutative
  • Negative
  • Factors
  • Multiples
  • Primes
Themes, Concepts and Questions
  • Fraction, decimal and percentage equivalence – HT2
  • Addition and subtraction of fractions – HT3-4
  • Fraction and Percentage of amounts – HT4
Key Knowledge
  • Fraction
  • Numerator
  • Denominator
  • Recurring
  • Improper and Mixed
  • Interval
  • Equivalent
  • Convert
  • Ascending
  • Descending
Themes, Concepts and Questions
  • Geometric notation – HT5
  • Geometric reasoning – HT5
Key Knowledge
  • Polygon
  • Degrees
  • Rotation
  • Acute
  • Obtuse
  • Reflex
  • Right-angle
  • Interior
  • Exterior
  • Parallel
  • Perpendicular
Themes, Concepts and Questions
  • Sets and Probability – HT6
Key Knowledge
  • Universal
  • Set
  • Element
  • Mutually Exclusive
  • Intersection
  • Complement
  • Bias
  • Random
  • Outcomes
  • Event
  • Combination
  • Permutation

Skill Development

Students will expand on and become fluent in topics from KS2 and be able to apply their knowledge to a variety of problems, some of which will require students to use their logic/reasoning skills. Students will develop use of a Scientific calculator.

Year 8

Intent

Our Year 8 students are challenged to use proportional reasoning to solve problems, thereby developing their knowledge and understanding of fractions and percentages; they then move on to tackle data and probability. Building on previously taught algebraic reasoning topics, they strengthen their understanding further, now delving into angles, area and symmetry. They are encouraged to make connections between what they are learning and the world around them.

Learning Journey

Themes, Concepts and Questions
  • Brackets, equations and inequalities – HT3
  • Sequences – HT3
Key Knowledge
  • Expression
  • Substitute
  • Simplify
  • Term
  • Expand/Multiply Out
  • Factorise
  • Solve
  • Inequality
  • Like/Unlike terms
  • Linear
  • Non-linear
  • Fibonacci
Themes, Concepts and Questions
  • Indices – HT3
  • Standard index form – HT4
  • Number Sense – HT4
Key Knowledge
  • Powers
  • Index form
  • Base
  • Exponent
  • Scientific notation
  • Significant
  • Estimate
  • Bound
  • Dimensions
Themes, Concepts and Questions
  • Fractional thinking with multiplication and division – HT2
  • Fractions and percentages – HT4
Key Knowledge
  • Numerator
  • Denominator
  • Reciprocal
  • Simplify
  • Round
  • Multiplier
  • Profit/Loss
  • Interest
  • Reverse
Themes, Concepts and Questions
  • Working in the cartesian plane – HT2
  • Angles in parallel lines – HT5
  • Area of trapezia and circles – HT5
  • Line symmetry and reflection – HT5
Key Knowledge
  • Vertical/Horizontal
  • Coordinates
  • Parallel
  • Perpendicular
  • Gradient
  • Intercept
  • Transversal
  • Alternate
  • Corresponding
  • Co-interior
  • Vertically Opposite
  • Pi
  • Radius
  • Diameter
  • Symmetry
  • Congruent
Themes, Concepts and Questions
  • Representing data – HT2
  • Probability and tables HT2
  • Data Handling – HT6
  • Measures of location – HT6
Key Knowledge
  • Outlier
  • Discrete
  • Correlation
  • Quantitative
  • Qualitative
  • Extrapolate
  • Outcomes
  • Union
  • Intersection
  • Independent
Themes, Concepts and Questions
  • Ratio and Proportion – HT1
  • Multiplicative Change – HT1
Key Knowledge
  • Ratio
  • Proportion
  • Currency
  • Constant
  • Linear
  • Gradient
  • Metric

Skill Development

Students will expand on and become fluent in topics from KS2/year 7 and be able to apply their knowledge to a variety of problems, some of which will require students to use their logic/reasoning skills. Students will continue to develop use of a Scientific calculator.

Year 9

Intent

New algebraic and geometric concepts take centre stage in Year 9. The conjecture and deduction topics interleave multiple strands of maths and develop students’ skill in presenting mathematical arguments. Practical life skills play an important role in our money and rates topics, thereby supporting the development of financial literacy. Students continue to be exposed to new knowledge, exploring geometrical concepts, as they prepare for transition to Key Stage 4.

Learning Journey

Themes, Concepts and Questions
  • Straight line graphs – HT1
  • Forming and solving equations – HT1
  • Deductions – HT4
  • Algebraic representation – HT6
Key Knowledge
  • Equation
  • Inequality
  • Expand
  • Substitute
  • Rearrange
Themes, Concepts and Questions
  • Testing conjectures – HT1
  • Numbers – HT3
  • Mathematics and Money – HT3
Key Knowledge
  • Factor
  • Multiple
  • Prime
  • Counterexample
  • Conjecture
  • True/False
  • Prove
  • Rational
  • Irrational
  • Surd
  • Standard form
  • Debit/Credit
  • Tax/VAT
  • Interest
  • Exchange
Themes, Concepts and Questions
  • Using Percentages – HT3
Key Knowledge
  • Multiplier
  • Increase
  • Decrease
  • Equivalent
  • Profit/Loss
  • Repeated change
  • Depreciate
  • Power
Themes, Concepts and Questions
  • Three Dimensional-Shapes – HT2
  • Constructions & Congruency – HT2
  • Rotation and Translation – HT4
  • Pythagoras
  • Enlargement and Similarity – HT5
Key Knowledge
  • Parallel/Perpendicular
  • Gradient
  • Graph
  • Function
  • Rearrange
  • Faces/Edges/Vertices
  • Cube/Cuboid
  • Cross-section
  • Prism
  • Locus
  • Bisector
  • Net
  • SSS/SAS/ASA
  • Congruence
  • Rotational symmetry
  • Pythagoras’ theorem
  • Hypotenuse
  • Enlargement
  • Similarity
Themes, Concepts and Questions
  • Probability – HT6
Key Knowledge
  • Event
  • Outcome
  • Equally
  • Relative Frequency
  • Bias
  • Independent
  • Venn Diagram
  • Sample Space
  • Two-way table
Themes, Concepts and Questions
  • Solving ratio and proportion problems – HT5
  • Rates – HT6
Key Knowledge
  • Relationship
  • Multiplier
  • Constant
  • Divide/Share
  • Unit cost
  • Speed
  • Density
  • Conversions
  • Rate of change
  • Imperial
  • Metric

Skill Development

Students will expand on and become fluent in topics from years 7 and 8 and be able to apply their knowledge to a variety of problems, some of which will require students to use their logic/reasoning skills. Students will continue to develop use of a Scientific calculator.

June 2022

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