Curriculum Allocation
Maths is taught for five 100 minute lessons per fortnight.
Curriculum Period 1:
Curriculum content
| Topic | Lessons |
|---|---|
| Sequences | Describe sequences, predict and check next terms Differences between linear and non-linear sequences |
| Understand and use algebraic notation | Single function machines Inverse operations to find an input Using diagrams and letters to generalise numbers Using function machines with algebraic expressions Substitution and two-step function machines Find two-step functions from expressions Further substitution and generate sequences from rules Graphical representation of functions |
| Equity and equivalence | Understanding equality and using Fact Families Solving one-step linear equations using inverse functions Understand the meaning of equivalence, like and unlike terms Simplification by collecting like terms |
NEW Curriculum Content
|
Topic |
Small Steps (Sparx Reference) |
Deepen Knowledge |
|
Number Sense |
Using number lines (M763) Integer place value (M704) Decimal place value (M522) Ordering negative numbers (M527) Rounding integers (M111) Rounding decimals (M431) |
Solving complex fluency and reasoning problems Interpreting real-life contexts including measurements and temperatures Constructing numbers and calculations given specified criteria |
|
Adding and Subtracting |
Adding integers (M928) Adding decimals (M429) Subtracting integers (M347) Subtracting decimals (M152) |
Finding missing digits in calculations Solving complex fluency and reasoning problems Interpreting real-life contexts including money and measures Using the inverse relationship between addition and subtraction Solving cross-topic questions |
|
Multiplying |
Multiplying and dividing by 10, 100 and 1000 (M113) Multiplying using place value (M911) Using a written method to multiply integers (M187) Using a written method to multiply decimals (M803) |
Solving complex fluency and reasoning problems Using the inverse relationship between multiplication and division Using one calculation to perform a related calculation Interpreting real-life contexts including money and measures Solving cross-topic questions |
|
Dividing |
Dividing numbers into equal groups (M462) Using a written method to divide integers (M354) Dividing with a remainder (M873) Using a written method to divide with decimals (M262) |
Finding missing numbers in calculations Using one calculation to perform a related calculation Interpreting real-life contexts, including money and measures Writing divisions as fractions |
|
Calculating with Negative Numbers |
Adding and subtracting with negative numbers (M106) Multiplying and dividing with negative numbers (M288) |
Calculating with repeated operations, larger integers and decimals Finding missing numbers in calculations Solving complex fluency and reasoning problems Solving cross-topic questions |
|
Order of Operations |
Calculating with roots and powers (M135) Using the correct order of operations (M521) Using the commutative laws (M952) |
Calculating with decimals and negative numbers Solving complex fluency and reasoning problems Filling in missing numbers or operations in calculations |
|
Expressions |
Algebraic notation (M813) Algebraic terminology (M830) Simplifying expressions containing a single variable (M795) Simplifying expressions containing multiple variables (M531) Simplifying expressions containing non-linear terms (M949) |
Simplifying expressions with negative coefficients and non-linear terms Simplifying expressions where terms cancel Simplifying expressions by recognising that ab = ba Recognising when an expression is fully simplified Simplifying expressions in a range of cross-topic applications |
|
Substitution |
Substituting into expressions with one operation (M417) Substituting into expressions with multiple operations (M327) Substituting into algebraic formulae (M208) Substituting into real-life formulae (M979) |
Substituting negative numbers and decimals into expressions with brackets and indices Substituting into expressions with unfamiliar variables, such as greek letters Solving complex fluency and reasoning problems Performing successive substitutions Substituting expressions into expressions |
|
Solving Equation |
Solving equations with one step (M707) Solving equations with two or more steps (M509) |
Solving equations with decimals and negative numbers Solving equations that require substitution or simplification Using knowledge of square roots to solve equations with squared terms Solving one equation and using the result to solve another |
|
Time |
Converting units of time (M515) Using clocks (M892) Calculating with time (M627) Using timetables (M963) Using calendars (M747) |
Solving problems involving digital and analogue clocks Applying knowledge of the 12 and 24 hour clock to solve problems Solving problems involving time differences and leap years |
|
Measures |
Estimating and measuring length, mass and capacity (M828) Converting units of length, mass and capacity (M774) |
Solving complex fluency and reasoning problems involving scales |
Assessment
Students have an assessment that lasts for 60 minutes. This exam comprises of 80% content from curriculum period 1 and 20% recap.
Curriculum Period 2:
Curriculum content
| Topic | Lessons |
|---|---|
| Place value & ordering integers & decimals | Recognise place value and write numbers in words Working out the scale on a number line Rounding numbers and making comparisons Ordering integers and calculating the Range Finding the Median and Decimal Place values Decimalised number lines and making comparisons One SF rounding and powers of 10 Writing numbers in Standard Form |
| Fraction, decimal, percentage equivalence | Represent tenths and hundredths in diagrams Interchanging between fractions and decimals Understanding percentages and FDP conversions Pie Charts and representing fractions in a diagram Represent fractions on a number line and their equivalences Understanding fractions as division |
| Solving problems, addition & subtraction | Properties and strategies of Addition / Subtraction Addition of integers and decimals Subtraction of integers and decimals Choosing appropriate methods and Perimeter problems Solving financial problems and using tables Frequency Trees, Bar Charts and Line Charts |
| Solving problems, multiplication & division | Properties of Multiplication / Division + Factors Multiples and Multiply/Divide by powers of 10 Multiply by 0.1 / 0.01 and converting metric units Use formal methods to multiply integers and decimals Use formal methods to divide integers and decimals Order of Operations and Areas of rectangles and parallelograms Area of triangles and calculating the Mean |
Assessment
Students have an assessment that lasts for 60 minutes. This exam comprises of 80% content from curriculum period 2 and 20% recap.
Curriculum Period 3:
Curriculum content
| Topic | Lessons |
|---|---|
| Fractions & percentages of amounts | Fraction of amounts and using a given fraction Percentages of amounts using mental and calculator methods |
| Operations & equations with directed number | Introducing Directed numbers Crossing zero and adding directed numbers Subtraction + Multiplication of directed numbers Multiply/Divide directed numbers and calculator use Evaluate expressions and 2-step equations Solve 2-step equations and order of operations involving directed numbers |
| Addition & subtraction of fractions | Representing fractions and mixed number conversions Adding / Subtracting fractions with same denominator Understand and use equivalent fractions Adding / Subtracting fractions with different denominators Adding / Subtracting mixed and improper fractions Using fractions in an algebraic context Adding / Subtracting fractions and decimals using equivalences |
| Constructing, measuring & using geometric notation | Draw and measure line segments and labelling conventions Classify and measure angles up to 180 degrees Reflex angles and parallel / perpendicular lines Recognise and identify different polygons Constructing triangles and more complex polygons Interpreting pie charts |
| Developing geometric reasoning | Sum of the angles at a point / on a straight line Sum of angles in a triangle / quadrilateral Solving angle problems |
| Developing Number Sense | Mental strategies for the four operations Mental strategies for use with fractions and factors Using number facts and algebra to derive answers |
Assessment
Students have an assessment that lasts for 60 minutes. This exam comprises of 80% content from curriculum period 3 and 20% recap.
Revision resources
The revision folders on Showbie.
Other useful revision resources can be found on hegartymaths.com/
Subject advice and guidance
If you need any further guidance then please contact your child’s teacher via email:
c.plant@endon.shaw-education.org.uk
v.moston@endon.shaw-education.org.uk
d.tagell@endon.shaw-education.org.uk
a.arnold@endon.shaw-education.org.uk
d.nicholl@endon.shaw-education.org.uk
r.bahia@endon.shaw-education.org.uk
t.hill@endon.shaw-education.org.uk