# 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 – HT3
- Directed number – HT4

##### 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 – HT5
- 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 – HT5-6
- Geometric reasoning – HT5-6

##### Key Knowledge

- Polygon
- Degrees
- Rotation
- Acute
- Obtuse
- Reflex
- Right-angle
- Interior
- Exterior
- Parallel
- Perpendicular

##### 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 probability. Building on previously taught algebraic reasoning topics, they strengthen their understanding further, now delving into angles, symmetry, rotations and translations. 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 – HT3-4
- Sequences – HT4

##### Key Knowledge

- Expression
- Substitute
- Simplify
- Term
- Expand/Multiply Out
- Factorise
- Solve
- Inequality
- Like/Unlike terms
- Linear
- Non-linear
- Fibonacci

##### Themes, Concepts and Questions

- Prime numbers and proof - HT1
- Indices – HT4

##### Key Knowledge

- Multiples
- Factors
- Primes
- Lowest Common Multiple
- Highest Common Factor
- Conjectures
- Powers
- Index form
- Base
- Exponent

##### Themes, Concepts and Questions

- Fractional thinking with multiplication and division – HT2
- Fractions and percentages – HT5

##### Key Knowledge

- Numerator
- Denominator
- Reciprocal
- Simplify
- Round
- Multiplier
- Profit/Loss
- Interest
- Reverse

##### Themes, Concepts and Questions

- Working in the cartesian plane – HT5
- Line symmetry and reflection – HT6

##### 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

- Probability and tables HT3

##### Key Knowledge

- Outcomes
- Union
- Intersection
- Independent
- Sample Space
- Two-way tables
- Venn diagram

##### 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 conjectures topic interleaves 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

##### Key Knowledge

- Equation
- Inequality
- Expand
- Substitute
- Rearrange

##### Themes, Concepts and Questions

- Testing conjectures – HT1
- Numbers – HT3
- Mathematics and Money – HT3-4

##### 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 – HT3-4

##### Key Knowledge

- Multiplier
- Increase
- Decrease
- Equivalent
- Profit/Loss
- Repeated change
- Depreciate
- Power

##### Themes, Concepts and Questions

- Three Dimensional-Shapes – HT2
- Constructions & Congruency – HT2
- Enlargement and Similarity – HT5
- Area of trapezia & circles - HT2
- Pythagoras - HT5-6
- Enlargement and Similarity – HT5-6
- Constructions - HT6

##### Key Knowledge

- Area
- Perimeter
- Trapezium
- Circles
- 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

- Data Handling - HT4
- Measures of location - HT5

##### Key Knowledge

- Charts
- Pie Chart
- Pictogram
- Discrete
- Continuous
- Average
- Mean
- Median
- Mode
- Frequency

##### Themes, Concepts and Questions

- 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.