Mathematics

Autumn Term

Number - Place Value

• Read, write, compare and order numbers up to 10,000,000
• Round numbers.
• Negative numbers.

Number - Calculations

• Add, subtract, multiply and divide using formal written methods. 
• Multiples, factors, prime numbers, square numbers and cube numbers.
• Common factors, common multiples.
• BIDMAS.
• Problem solving.
• Reason from known facts.
• Calculate mentally and estimate answers.

Number - Fractions

• Equivalent fractions.
• Simplify fractions.
• Mixed numbers and improper fractions.
• Compare and order fractions.
• Add and subtract fractions.
• Multiply fractions by integers.
• Multiply fractions by fractions.
• Divide fractions by integers.
• Calculate fractions of an amount.

Geometry 2D and 3D Shapes

• Compare and classify geometric shapes based on their properties.
• Properties of quadrilaterals.
• Name 2D and 3D shapes.
• Draw shapes accurately.
• Nets of shapes.

Geometry - Position and Direction

• Co-ordinates in all four quadrants.
• Translate shapes on a co-ordinate grid.
• Reflect shapes.

Number – Decimals and Fractions, Decimals and Percentages

• Place value in decimals.
• Multiply and divide by 10, 100 and 1000.
• Multiply decimals by integers.
• Divide decimals by integers.
• Convert between FDP.

Number – Percentages

• Use equivalent FDP.
• Percentages of amounts.
• Calculate percentage increases and decreases.
• Order FDP.

Algebra

• Function machines – finding rules.
• Sequences.
• Substitution.
• Using simple formulae.
• Solve simple one and two-step equations.
• Find pairs of numbers that satisfy an equation with two unknowns.
• Find different possibilities and combinations.

Geometry – Units and Measurement 

• Convert between metric units.
• Imperial and metric conversions.
• Area and perimeter of rectangles.
• Area of triangles.
• Area of parallelograms.
• Perimeter and area of compound shapes.
• Volume of cuboids.
• Measurement problems.

Number – Ratio

• Language of ratio.
• Ratio and fractions.
• Calculate using ratio.
• Scale factors.
• Similar shapes.
• Problem-solving with ratio, including recipe problems.

Geometry – Angles

• Draw and measure angles.
• Name angles.
• Use angle rules:
• Angles in a triangle.
• Angles on a straight line.
• Angles in quadrilaterals.
• Angles around a point.
• Vertically opposite angles.

Statistics

• Line graphs.
• Pie charts.
• Parts of a circle.
• Mean (average).
• Draw and interpret different charts and graphs. 

Revision

Consolidation Work
 
Bakery Project.
 
Financial Task – Theme Park.

Algebra Bridging Unit.

Number – Place Value

• Place Value up to one billion.
• Place value in decimals.
• Rounding to decimal places and significant figures.
• Multiplying and dividing by powers of ten (including negative powers).
• Use place value in the context of measure to convert between units.

 Properties of Number

• Multiples, factors, primes, square numbers and cube numbers.
• Exponents (powers) and roots.
• Prime factorisation.
• Highest common factor, lowest common multiple using Venn Diagrams.
   

• Addition and subtraction with negative numbers.
• Multiplication and division with decimals.
• Multiplication and division with negative numbers.
• Laws of arithmetic: Commutative, Associate and Distributive Laws.
• BIDMAS.
• Using a calculator.

• Language of probability.
• Probability scale.
• Identifying outcomes.
• Theoretical probability. Experimental Probability.

Algebra

• Algebraic notation.
• Identify the terms, coefficient, factor, product, expression, formula, and equation.
• Simplifying expressions.
• Function machines.
• Expanding brackets.
• Factorising. Expressions.
• Substitution.

 Geometry

• Perimeter.
• Recap the area of:
• Rectangles, triangles, parallelograms.
• Area of a trapezium.
• Perimeter of composite shapes.
• Area of composite shapes.
• Recap angle rules.

• Recap: equivalent fractions, simplifying, improper fractions and mixed numbers.
• Convert fluently between FDP using non-calculator and calculator methods.
• Compare and order negative numbers and decimals.
• Compare and order fractions.

• Add and subtract fractions, including mixed numbers.
• Multiply and divide fractions, including mixed numbers.
• Problem-solving with fractions.

Ratio and Proportion

• Language of ratio.
• Multiplicative relationships.
• Calculate multipliers.
• Ratio tables to represent multiplicative relationships.
• Fractions of an amount (including finding the original amount).
• Express one number as a fraction of another.
• Divide a quantity into given ratios.
• Exchange rates, conversions and real-life problems.

• Transformations: 
• Translation using vectors.
• Describing rotations using centre of rotation, size of turn and direction.
• Rotate shapes.
• Reflect shapes using a line of reflection.
• Enlarge shapes using a centre of enlargement and scale factor.
• Recap co-ordinates.
• Problem solving using co-ordinates and transformations.

• Averages; mean, median, mode
• Range.
• Draw and interpret bar charts.
• Grouped data.
• Draw and interpret pie charts.

Number Arithmetic - Operations with Decimals and Negatives

• Four operations with negative numbers.
• Estimating and rounding.
• Adding and subtracting decimals.
• Multiply and divide, including decimals.
• Problem solving using the four operations.
• Standard form.

Algebra – Linear Equations

• Substitute into expressions and formulae, including scientific formulae.
• BIDMAS
• Solve equations using efficient methods.
• Construct and solve linear equations.

Geometry - Angles

• Angle notation.
• Understand and apply the angle rules:
• Angles on a straight line.
• Angles in a triangle.
• Angles around a point.
• Angles in a quadrilateral.
• Vertically opposite angles.
• Alternate, corresponding and co-interior angles.
• Angles in polygons.
• Problem solving.
• Simple angle proofs.

 Probability - Sets & Unions

• Language of probability and the probability scale.
• Theoretical probability.
• Experimental probability.
• Sample spaces.

Number – Percentages

• Convert between FDP (calculator and non-calculator methods).
• Calculate fractions and percentages of a quantity (calculator and non-calculator methods).
• Use FDP to compare proportions.
• Percentage change – including using multipliers and reverse percentage problems.
• Express one quantity as a percentage of another.

Algebra – Sequences and Relationships

• Term-to-term rules.
• Position-to-term rule (nth term) for linear sequences.
• Recognise geometric sequences.
• Quadratic sequences.

Constructions

• Accurately construct: Triangles, angle bisectors and perpendicular bisectors.

Statistics

• Pie charts.
• Discrete and continuous data.
• Grouped frequency.
• Averages and the range.
• Mean from frequency tables.
• Stem and leaf diagrams.
• Hypotheses and questionnaires.
• Scatter graphs and correlation.

Multiples, Factors and Primes

• Multiples, factors, highest common factor (HCF), lowest common multiple (LCM).
• Squares and square roots, triangular numbers.
• Product of prime factors.

Linear Equations: Graphically and Algebraically 

• Recognise and plot linear graphs.
• Find the gradient and intercept of linear graphs.
• Use to find the equation of linear graphs.
• Recognise quadratic and cubic graphs.
• Recognise, sketch and produce graphs of linear functions.

Geometry - Perimeter, Area & Volume

• Perimeter of shapes, including compound shapes.
• Circumference of circles.
• Recap area of: Rectangles, triangles, parallelograms, trapezia.
• Area of circles.
• Surface area.
• Volume of prisms and cylinders.

Ratio

• Simplify ratios.
• Divide a quantity into two or more parts in a given ratio.
• Solve ratio and proportion problems.
• Solve problems involving direct proportion.
• Solve problems using proportional reasoning.
• Recognise graphs of direct proportion.

Algebraic Expressions

• Simplify expressions.
• Algebraic notation.
• Expand brackets.
• Factorising expressions.
• Problem-solving.

Geometry - Transformations

• Transformations: Translations, reflections, rotations, enlargement.
• Congruence and similarity.

Diagrams and Constructions

• Use scale factors, scale diagrams and maps.
• Construct similar shapes by enlargement.

Revision

Functional Maths.

Finance.