📘 Year 5 Maths – FULL Curriculum
A. Place Values and Number Sense
Place value names up to millions
Value of a digit
Convert between ordinary and expanded form
Convert between place values
Place value review
Place value word problems
Writing numbers up to 100,000 in words: convert words to digits
Writing numbers up to 100,000 in words: convert digits to words
Writing numbers up to one million in words: convert words to digits
Writing numbers up to one million in words: convert digits to words
Ordinal numbers to 100th
Roman numerals
Rounding: up to thousands place
Rounding: up to hundred thousands place
Rounding puzzles
Even or odd: arithmetic rules
Compare numbers up to one hundred thousand
Compare numbers up to one million
Put numbers in order: up to one hundred thousand
Put numbers in order: up to one million
B. Addition
Properties of addition
Add using properties
Addition patterns over increasing place values
Add two three-digit numbers
Add two three-digit numbers: word problems
Complete the addition sentence: three-digit numbers
Balance addition equations: three-digit numbers
Add three or more numbers with up to three digits each
Add numbers up to six digits
Add numbers up to six digits: word problems
Addition up to six digits: fill in the missing digits
Add three or more numbers with up to six digits
Choose numbers with a particular sum
Estimate sums: up to four digits
Estimate sums: up to six digits
Estimate sums: word problems up to six digits
C. Subtraction
Subtract three-digit numbers
Subtract three-digit numbers: word problems
Complete the subtraction sentence: three-digit numbers
Balance subtraction equations: three-digit numbers
Subtract numbers up to six digits
Subtract numbers up to six digits: word problems
Subtraction up to six digits: fill in the missing digits
Subtraction patterns over increasing place values
Choose numbers with a particular difference
Estimate differences: up to four digits
Estimate differences: up to six digits
Estimate differences: word problems up to six digits
D. Multiplication Fluency
Multiplication facts for 2, 3, 4, 5, 6, 8 and 10
Multiplication facts for 2, 3, 4, 5, 6, 8 and 10: find the missing factor
Choose the multiples of 2, 3, 4, 5, 6, 8 and 10
Multiplication facts to 10
Multiplication facts up to 10: find the missing factor
Choose the multiples of a given number up to 10
Multiplication facts to 12
Multiplication facts up to 12: find the missing factor
Choose the multiples of a given number up to 12
E. Multiply by One-Digit Numbers
Compare numbers using multiplication
Compare numbers using multiplication: word problems
Multiply by multiples of 10, 100 and 1,000
Multiplication patterns over increasing place values
Properties of multiplication
Estimate products: multiply by 1-digit numbers
Estimate products word problems: identify reasonable answers
Multiply 1-digit numbers by 2-digit or 3-digit numbers using area models I
Multiply 1-digit numbers by 2-digit or 3-digit numbers using area models II
Multiply 1-digit numbers by 2-digit or 3-digit numbers
Multiply 1-digit numbers by 2-digit or 3-digit numbers: word problems
Multiply 1-digit numbers by 4-digit numbers using area models
Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
Multiply 1-digit numbers by multi-digit numbers using partial products
Multiply 1-digit numbers by 4-digit numbers
Multiply 1-digit numbers by 4-digit numbers: word problems
Multiply 1-digit numbers by larger numbers
F. Multiply by Two-Digit Numbers
Multiply 2-digit numbers by 10 or 100
Estimate products: multiply by 2-digit numbers
Estimate products: word problems
Use one multiplication fact to complete another
Multiply 2-digit numbers by 2-digit numbers using area models I
Multiply 2-digit numbers by 2-digit numbers using area models II
Multiply 2-digit numbers by 2-digit numbers using partial products
Multiply 2-digit numbers by 2-digit numbers: complete the missing steps
Multiply 2-digit numbers by 2-digit numbers
Multiply 2-digit numbers by 2-digit numbers: word problems
Box multiplication
Lattice multiplication
Multiply 2-digit numbers by 3-digit or 4-digit numbers: complete the missing steps
Multiply 2-digit numbers by 3-digit or 4-digit numbers
Multiply 2-digit numbers by 3-digit or 4-digit numbers: word problems
Choose numbers with a particular product
Multiply numbers ending in zeros
Multiply numbers ending in zeros: word problems
Multiply three numbers up to 2 digits each
Multiply three or more numbers: word problems
Inequalities with multiplication
G. Division Fluency
Division facts for 2, 3, 4, 5, 6, 8 and 10
Division facts to 10
Division facts to 10: word problems
Division facts to 12
Division facts to 12: word problems
H. Division
Properties of division
Divide 2-digit numbers by 1-digit numbers using arrays
Divide 2-digit numbers by 1-digit numbers using area models
Divide using repeated subtraction
Divide using the distributive property
Divide 2-digit numbers by 1-digit numbers: quotients up to 10
Divide 2-digit numbers by 1-digit numbers
Divide 2-digit numbers by 1-digit numbers: word problems
Divide 2-digit numbers by 1-digit numbers: complete the table
Divide 2-digit numbers by 1-digit numbers: interpret remainders
Divide 3-digit numbers by 1-digit numbers using area models
Divide using partial quotients
Divide 3-digit numbers by 1-digit numbers
Divide 3-digit numbers by 1-digit numbers: word problems
Divide 4-digit numbers by 1-digit numbers
Divide 4-digit numbers by 1-digit numbers: word problems
Divide larger numbers by 1-digit numbers: complete the table
Divide larger numbers by 1-digit numbers: interpret remainders
Choose numbers with a particular quotient
Division patterns over increasing place values
Divide numbers ending in zeros by 1-digit numbers
Estimate quotients using compatible numbers: 1-digit divisors
Estimate quotients to compare
Estimate quotients: word problems
Divide numbers ending in zeros
Divide numbers ending in zeros: word problems
Inequalities with division
I. Mixed Operations
Write numerical expressions
Mentally add and subtract numbers ending in zeros
Add, subtract, multiply and divide
Input/output tables: add and subtract powers of ten
Use a rule to complete an input/output table
Input/output tables: find the rule
Input/output tables: find the rule and complete the table
Comparison word problems with addition and subtraction
Addition, subtraction, multiplication and division word problems
Estimate sums, differences, products and quotients: word problems
Choose numbers with a particular sum, difference, product or quotient
Inequalities involving addition, subtraction, multiplication and division
Word problems with extra or missing information
Solve word problems using guess-and-check
Multi-step addition and subtraction word problems
Multi-step word problems
Multi-step word problems involving remainders
Multi-step word problems: identify reasonable answers
J. Indices
Understand square and cube numbers
Evaluate indices: squares and cubes
K. Number Theory
Divisibility rules
Divisibility rules: word problems
Identify factors
Find all the factor pairs of a number
Prime and composite numbers: up to 10
Prime and composite numbers: up to 20
Prime and composite numbers: up to 100
Prime factorisation
Highest common factor
Square numbers
L. Integers
Understanding integers
Count on a number line – up to 10 in both directions
Count on a number line – up to 100 in both directions
Graph integers on horizontal and vertical number lines
Compare integers
Put integers in order
M. Equations and Variables
Write variable expressions
Write variable expressions: word problems
Evaluate variable expressions
Write variable equations to represent word problems
Solve for the variable: addition and subtraction
Solve for the variable: multiplication and division
Solve for the variable: addition, subtraction, multiplication and division
Complete a table for a two-variable relationship
Write a two-variable equation
N. Coordinate Plane
Objects on a coordinate plane
Graph points on a coordinate plane
Follow directions on a coordinate plane
Coordinate planes as maps
Direction to starting point
O. Data and Graphs
Read a table
Interpret tally charts
Interpret line graphs
Create line graphs
Interpret bar graphs
Interpret bar graphs: multi-step problems
Create bar graphs
Interpret bar graphs for grouped data
Create bar graphs for grouped data
Interpret line plots
Create line plots
Interpret frequency tables
Create frequency tables
Interpret stem-and-leaf plots
Create stem-and-leaf plots
Pie charts
Choose the best type of graph
P. Logical Reasoning
Find two numbers based on sum and difference
Find two numbers based on sum, difference, product and quotient
Find the order
Q. Patterns and Sequences
Use a rule to complete a number pattern
What is true about the addition pattern?
What is true about the multiplication pattern?
Identify mistakes in number patterns
Complete an increasing number pattern
Complete a geometric number pattern
Number patterns: word problems
Number patterns: mixed review
Shape patterns
R. Money
Compare money amounts
Round money amounts
Add and subtract money amounts
Add and subtract money amounts – word problems
Making change
Price lists
S. Units of Measurement
Read a thermometer
Compare temperatures above and below zero
Calculate temperature differences
Choose the appropriate metric unit of measure
Compare and convert metric units of length
Compare and convert metric units of mass
Compare and convert metric units of volume
Metric mixed units
Add and subtract metric mixed units
Choose the appropriate imperial unit of measure
Compare and convert imperial units of length
Compare and convert imperial units of weight
Compare and convert imperial units of volume
Imperial mixed units
Convert between metric and imperial units
T. Time
Match analogue and digital clocks
Read clocks and write times
Convert time units
Add and subtract mixed time units
Fractions of time units
Elapsed time: find the end time
Find the elapsed time
Elapsed time word problems: find the end time
Elapsed time word problems: find the elapsed time
Find start and end times: multi-step word problems
Convert between 12-hour and 24-hour time
Time zones – 12-hour time
Time zones – 24-hour time
Transportation schedules – 12-hour time
Transportation schedules – 24-hour time
Time patterns
U. Two-Dimensional Figures
Which two-dimensional figure is being described?
Is it a polygon?
Regular and irregular polygons
Number of sides in polygons
Graph triangles and quadrilaterals
Lines, line segments and rays
Parallel, perpendicular and intersecting lines
Types of triangles
Identify congruent figures
V. Angles
Acute, right, obtuse and straight angles
Angles as fractions of a circle
Use fractions to find the measure of an angle
Angles of 90, 180, 270 and 360 degrees
Measure angles on a circle
Measure angles with a protractor
Draw angles with a protractor
Estimate angle measurements
W. Symmetry and Transformations
Identify lines of symmetry
Draw lines of symmetry
Count lines of symmetry
Rotational symmetry
Identify reflections, rotations and translations
Translations
Reflections
Rotations
Combinations of reflections, rotations and translations
X. Three-Dimensional Figures
Identify three-dimensional figures
Count vertices, edges and faces
Identify faces of three-dimensional figures
Which three-dimensional figure is being described?
Nets of three-dimensional figures
Y. Geometric Measurement
Find the perimeter of rectangles using formulas
Perimeter of rectilinear shapes
Perimeter of polygons
Perimeter with decimal side lengths
Perimeter: find the missing side lengths
Perimeter: word problems
Find the area of figures made of unit squares
Select figures with a given area
Select two figures with the same area
Multiply to find the area of a rectangle made of unit squares
Create figures with a given area
Create rectangles with a given area
Find the area of rectangles and squares
Compare areas of rectangles and squares
Find the missing side length of a rectangle
Area word problems
Find the area of complex figures
Find the area between two rectangles
Area and perimeter: word problems
Use area and perimeter to determine cost
Volume of cuboids made of unit cubes
Volume of irregular figures made of unit cubes
Z. Fractions and Mixed Numbers
Fractions review
Fractions of a whole: word problems
Fractions of a group: word problems
Identify mixed numbers
Find equivalent fractions using area models
Graph equivalent fractions on number lines
Identify equivalent fractions
Equivalent fractions: find the missing numerator or denominator
Graph fractions equivalent to 1 on number lines
Select fractions equivalent to whole numbers using models
Fractions with denominators of 10 and 100
Fractions and mixed numbers with denominators of 10 and 100
Patterns of equivalent fractions
Write fractions in lowest terms
Compare fractions with the same numerator or denominator using models
Graph and compare fractions with the same numerator or denominator on number lines
Compare fractions with the same numerator or denominator
Compare fractions with different denominators using models
Compare fractions with different denominators
Graph and order fractions with the same numerator or denominator on number lines
Order fractions with the same numerator or denominator
Order fractions with different denominators
Find smaller or larger fractions
Convert between improper fractions and mixed numbers
Relate division and fractions
Understand fractions as division: word problems
AA. Add and Subtract Fractions with the Same Denominator
Decompose fractions multiple ways
Add fractions with the same denominator using area models
Add fractions with the same denominator using bar models
Add fractions with the same denominator using number lines
Add fractions with the same denominator
Subtract fractions with the same denominator using area models
Subtract fractions with the same denominator using bar models
Subtract fractions with the same denominator using number lines
Subtract fractions with the same denominator
Add and subtract fractions with the same denominator using number lines
Add and subtract fractions with the same denominator
Add and subtract fractions with the same denominator: word problems
Add and subtract fractions with the same denominator: multi-step word problems
Add three or more fractions with the same denominator
Add three or more fractions with the same denominator: word problems
Add and subtract mixed numbers with the same denominator
Add and subtract mixed numbers with the same denominator: word problems
Add and subtract fractions and mixed numbers with the same denominator: multi-step word problems
Complete addition and subtraction sentences with fractions
BB. Add and Subtract Fractions with Different Denominators
Add up to 4 fractions with denominators of 10 and 100
Add fractions with different denominators using models
Add fractions with different denominators
Subtract fractions with different denominators using models
Subtract fractions with different denominators
Add and subtract fractions with different denominators
Add and subtract fractions with different denominators: word problems
Add three or more fractions with different denominators
Add three or more fractions with different denominators: word problems
Add and subtract mixed numbers with different denominators
Add and subtract mixed numbers with different denominators: word problems
CC. Multiply Fractions
Multiply unit fractions by whole numbers using number lines
Multiply unit fractions by whole numbers using models
Multiples of unit fractions: find the missing numbers
Multiply unit fractions and whole numbers: sorting
Multiply unit fractions by whole numbers
Multiply unit fractions by whole numbers: word problems
Multiply fractions by whole numbers using number lines
Multiply fractions by whole numbers using models
Multiply fractions by whole numbers using models: complete the equation
Multiples of fractions: find the missing numbers
Multiply fractions and whole numbers: sorting
Multiply fractions by whole numbers
Multiply fractions by whole numbers: word problems
Fractions of a number
Fractions of a number: word problems
DD. Decimals up to Hundredths
What decimal number is illustrated?
Model decimals and fractions
Understanding decimals expressed in words: up to hundredths
Place values in decimal numbers up to hundredths
One-tenth or one-hundredth more or less
Equivalent decimals up to hundredths
Graph decimals on number lines
Decimal number lines
Graph fractions as decimals on number lines
Convert fractions to decimals: up to hundredths
Convert decimals to fractions: up to hundredths
Convert decimals between standard and expanded form using fractions: up to hundredths
Round decimals to the nearest whole number or tenth
Compare decimals using models
Compare decimals on number lines
Compare decimal numbers up to hundredths
Put decimal numbers in order I: up to hundredths
Put decimal numbers in order II: up to hundredths
Compare positive and negative decimals: up to tenths
Put positive and negative decimals in order: up to tenths
Compare decimals and fractions on number lines
Compare decimals and fractions: up to hundredths
Number sequences involving decimals
EE. Decimals up to Thousandths
Understanding decimals expressed in words: up to thousandths
Place values in decimal numbers up to thousandths
Relationship between decimal place values
Equivalent decimals up to thousandths
Convert fractions and mixed numbers to decimals: up to thousandths
Convert decimals to fractions and mixed numbers: up to thousandths
Convert decimals between standard and expanded form using fractions: up to thousandths
Compare decimal numbers up to thousandths
Put decimal numbers in order I: up to thousandths
Put decimal numbers in order II: up to thousandths
Compare, order and round decimals: word problems
Compare decimals and fractions: up to thousandths
FF. Add and Subtract Decimals
Add decimal numbers: up to tenths
Subtract decimal numbers: up to tenths
Add decimal numbers using blocks
Add decimal numbers: up to hundredths
Subtract decimal numbers: up to hundredths
Add and subtract decimal numbers: up to hundredths
Add and subtract decimals up to hundredths: word problems
Add decimal numbers: up to thousandths
Subtract decimal numbers: up to thousandths
Add and subtract decimal numbers: up to thousandths
Add and subtract decimals up to thousandths: word problems
Choose decimals with a particular sum or difference
Add three or more decimals
Add three or more decimals: word problems
Complete the addition or subtraction sentence with decimals
Inequalities with addition and subtraction of decimals
Estimate sums and differences of decimals
Solve decimal problems using diagrams
GG. Multiply and Divide Decimals
Multiply a decimal by 10 or 100
Divide a whole number by 10 or 100: decimal quotients
Divide a decimal by 10 or 100
Multiply a decimal by 10, 100 or 1,000
Divide a whole number by 10, 100 or 1,000: decimal quotients
Divide a decimal by 10, 100 or 1,000
HH. Percents and Ratios
What percentage is illustrated?
Understanding percents: bar models
Convert fractions to percents using grid models
Convert percents to fractions and decimals
Convert between percents, fractions and decimals
Convert between percents, fractions and decimals: word problems
Compare percents to each other and to fractions
Compare percents and fractions: word problems
Percent of a number
Percent of a number: word problems
Compare percents of numbers
Write a ratio
Which model represents the ratio?
Unit rates
II. Probability and Statistics
Understanding probability
Find the probability
Make predictions
Find the mode
Find the mean
Find the median
Find the range
Interpret charts to find mode
Interpret charts to find mean
Interpret charts to find median
Interpret charts to find range
JJ. Financial Literacy
Calculate profit: word problems
Compare savings options
Budget a weekly allowance: word problems