Overview

AUTUMN 1  ALGEBRAIC THINKING 

Exploring Sequences 

• Work with linear and non- linear sequences
• Term to term rules of numerical sequences in words

Understanding and using algebraic notation

• Working with function machines
• Use algebraic conventions
• Substitution into one and two step expressions
• Generating sequences given an algebraic rule

Equality and equivalence

• Solve one step linear equations
• Collect like terms

AUTUMN 2  PLACE VALUE AND PROPORTION

Place value and ordering integers and decimals

• Working with large numbers
• Rounding to nearest 10 and 1 significant figure
• Ordering numbers
• Range and Median
• Standard Form

FDP Equivalence

• Fractional diagrams and on number lines
• Equivalent fractions
• Fractions as division
• Convert between FDP

SPRING 1 APPLICATIONS OF NUMBER

Addition and Subtraction

• Mental strategies for addition and subtraction
• Formal methods
• Perimeter
• Financial Problems
• Timetables
• Frequency Trees
• Bar Charts and Line Charts

Multiplication and Division

• Factors and Multiples
• Multiply and divide by powers of 10
• Formal methods
• Order of operations
• Area
• Mean Problems

Fractions and Percentages of Amounts With and without a calculator

SPRING 2 DIRECTED NUMBER & FRACTIONAL THINKING

Operations with Directed Number

• Understand and use representations of directed number
• Add, subtract, multiply and divide with directed number
• Use of a calculator
• Substitution with directed number
• Solve two step equations

Addition and Subtraction of Fractions

• Convert between mixed numbers and fractions
• Add and subtract fractions including improper and mixed numbers
• Add and subtract fractions and decimals
• Algebraic fractions

SUMMER 1 LINES & ANGLES  

Constructing, measuring and using geometric notation

• Use of a protractor
• Identify types of triangle, quadrilaterals and polygons
• Construct SSS, SAS and ASA triangles
• Draw and interpret pie charts

Developing Geometric Reasoning

• Find angles on a straight line, around a point, vertically opposite, in triangles and quadrilaterals
• Angles in parallel lines

SUMMER 2  REASONING WITH NUMBER

Developing Number Sense

• Use mental strategies for integers, fractions and decimals
• Use factors to simplify calculations

Sets and Probability

• Work with simple Venn diagrams
• Expressing probability in numbers
• Probability of single events

Prime numbers and proof

• Factors and multiples
• Prime, square and triangular numbers
• Product of prime factors
• HCF and LCM