###### January 21, 2014

### Maths: Year 11 topics

See below for the list of maths topics you can expect your child to learn in year 11:

**Numbers**

- Prime or composite
- Identify rational and irrational numbers
- Compare and order rational numbers
- Square roots
- Cube roots
- Add, subtract, multiply and divide rational numbers
- A.7 Order of operations with rational numbers

**Exponents**

- Exponents review
- Multiplication and division with exponents
- Power rule
- Simplify expressions involving exponents
- Convert between standard and scientific notation
- Multiply, divide and compare numbers written in scientific notation
- Coordinate graphs
- Coordinate graph review
- Midpoints
- Distance between two points

**Solve equations**

- Solve one- and two-step linear equations
- Solve advanced linear equations
- Solve equations with variables on both sides
- Identities and equations with no solutions
- Solve linear equations: word problems
- Solve linear equations: mixed review

**Single-variable inequalities**

- Solve one-step linear inequalities
- Graph solutions to one-step linear inequalities
- Solve two-step linear inequalities
- Graph solutions to two-step linear inequalities
- Solve advanced linear inequalities
- Graph solutions to advanced linear inequalities
- Graph compound inequalities
- Write compound inequalities from graphs
- Solve compound inequalities
- Graph solutions to compound inequalities

**Relations and functions**

- Relations: convert between tables, graphs, mappings and lists of points
- Domain and range of relations
- Identify independent and dependent variables
- Identify functions
- Complete a function table
- Evaluate function rules
- Graph a function
- Write a function rule: word problems
- Find points on a function graph
- Write a rule for a function table

**Direct and inverse variation**

- Identify proportional relationships
- Find the constant of variation
- Graph a proportional relationship
- Write direct variation equations
- Write and solve direct variation equations
- Write inverse variation equations
- Write and solve inverse variation equations
- Identify direct variation and inverse variation

**Linear functions**

- Identify linear functions
- Find the slope of a graph
- Find slope from two points
- Slope-intercept form: find slope and y-intercept
- Slope-intercept form: graph an equation
- Slope-intercept form: write an equation from a graph
- Slope-intercept form: write an equation
- Linear function word problems
- Write equations in standard form
- Standard form: find x- and y-intercepts
- Standard form: graph an equation
- Equations of horizontal and vertical lines
- Graph a horizontal or vertical line
- Point-slope form: graph an equation
- Point-slope form: write an equation from a graph
- Point-slope form: write an equation
- Slopes of parallel and perpendicular lines
- Write an equation for a parallel or perpendicular line

**Simultaneous equations**

- Is (x, y) a solution to the simultaneous equations?
- Solve simultaneous equations by graphing
- Solve simultaneous equations by graphing: word problems
- Find the number of solutions to simultaneous equations by graphing
- Find the number of solutions to simultaneous equations
- Solve simultaneous equations using substitution
- Solve simultaneous equations using substitution: word problems
- Solve simultaneous equations using elimination
- Solve simultaneous equations using elimination: word problems

**Exponential functions**

- Evaluate an exponential function
- Match exponential functions and graphs
- Exponential growth and decay: word problems

**Monomials**

- Identify monomials
- Multiply monomials
- Divide monomials
- Multiply and divide monomials
- Powers of monomials

**Polynomials**

- Polynomial vocabulary
- Model polynomials with algebra tiles
- Add and subtract polynomials using algebra tiles
- Add and subtract polynomials
- Add polynomials to find perimeter
- Multiply a polynomial by a monomial
- Multiply two polynomials using algebra tiles
- Multiply two binomials
- Multiply two binomials: special cases
- Multiply polynomials

**Factorising**

- GCF of monomials
- Factorise out a monomial
- Factorise quadratics with leading coefficient 1
- Factorise quadratics with other leading coefficients
- Factorise quadratics: special cases
- Factorise by grouping
- Factorise polynomials

**Quadratic equations**

- Characteristics of quadratic functions
- Complete a function table: quadratic functions
- Solve a quadratic equation using square roots
- Solve an equation using the zero product property
- Solve a quadratic equation by factorising
- Complete the square
- Solve a quadratic equation by completing the square
- Solve a quadratic equation using the quadratic formula

**Functions: linear, quadratic, exponential**

- Identify linear, quadratic and exponential functions from graphs
- Identify linear, quadratic and exponential functions from tables
- Write linear, quadratic and exponential functions

**Families of functions**

- Translations of functions
- Reflections of functions
- Dilations of functions
- Transformations of functions

**Radical expressions**

- Simplify radical expressions
- Simplify radical expressions by rationalising the denominator
- Multiply radical expressions
- Add and subtract radical expressions
- Simplify radical expressions using the distributive property
- Simplify radical expressions: mixed review

**Rational exponents**

- Evaluate rational exponents
- Multiplication with rational exponents
- Division with rational exponents
- Power rule with rational exponents
- Simplify expressions involving rational exponents I
- Simplify expressions involving rational exponents II

**Rational functions and expressions**

- Rational functions: asymptotes and excluded values
- Simplify complex fractions
- Simplify rational expressions
- Multiply and divide rational expressions
- Divide polynomials
- Add and subtract rational expressions
- Solve rational equations

**Introduction to triangles**

- Classify triangles
- Triangle Angle-Sum Theorem
- Exterior Angle Theorem
- Two-dimensional figures
- Polygon vocabulary
- Interior angles of polygons
- Exterior angles of polygons
- Review: interior and exterior angles of polygons

**Three-dimensional figures**

- Three-dimensional figure vocabulary
- Parts of three-dimensional figures
- Nets and drawings of three-dimensional figures
- Cross-sections of three-dimensional figures
- Solids of revolution

**Introduction to congruent figures**

- Congruence statements and corresponding parts
- Solve problems involving corresponding parts
- Identify congruent figures

**Congruent triangles**

- SSS and SAS Theorems
- ASA and AAS Theorems
- SSS, SAS, ASA and AAS Theorems
- Congruency in isosceles and equilateral triangles
- Hypotenuse-Leg Theorem

**Triangles**

- Midsegments of triangles
- Triangles and bisectors
- Identify medians, altitudes, angle bisectors and perpendicular bisectors
- Angle-side relationships in triangles
- Triangle Inequality Theorem

** Quadrilaterals**

- Z.1 Classify quadrilaterals
- Z.2 Properties of parallelograms
- Z.3 Proving a quadrilateral is a parallelogram
- Z.4 Properties of rhombuses
- Z.5 Properties of squares and rectangles
- Z.6 Properties of trapezoids
- Z.7 Properties of kites
- Z.8 Review: properties of quadrilaterals

** Transformations**

- Translations: graph the image
- Translations: find the coordinates
- Translations: write the rule
- Reflections: graph the image
- Reflections: find the coordinates
- Rotate polygons about a point
- Rotations: graph the image
- Rotations: find the coordinates
- Classify congruence transformations
- Compositions of congruence transformations: graph the image
- Transformations that carry a polygon onto itself
- Congruence transformations: mixed review
- Dilations: graph the image
- Dilations: find the coordinates
- Dilations: scale factor and classification
- Dilations and parallel lines

** Similarity**

- Identify similar figures
- Similarity ratios
- Similarity statements
- Side lengths and angle measures in similar figures
- Similar triangles and indirect measurement
- Perimeters of similar figures
- Similarity rules for triangles
- Similar triangles and similarity transformations
- Areas of similar figures

** Right triangles**

- Pythagorean Theorem
- Converse of the Pythagorean theorem
- Pythagorean Inequality Theorems
- Special right triangles

** Trigonometry**

- Trigonometric ratios: sin, cos and tan
- Trigonometric ratios: csc, sec and cot
- Find trigonometric functions of special angles
- Find trigonometric functions using a calculator
- Inverses of trigonometric functions
- Trigonometric ratios: find a side length
- Trigonometric ratios: find an angle measure
- Solve a right triangle

** Area and perimeter**

- Perimeter
- Area of triangles and quadrilaterals
- Area and perimeter in the coordinate plane I
- Area and perimeter in the coordinate plane II
- Area and circumference of circles
- Area of compound figures
- Area between two shapes
- Area and perimeter of similar figures

** Circles**

- Parts of a circle
- Central angles
- Arc measure and arc length
- Area of sectors
- Circle measurements: mixed review
- Arcs and chords
- Tangent lines
- Perimeter of polygons with an inscribed circle
- Inscribed angles
- Angles in inscribed right triangles
- Angles in inscribed quadrilaterals

** Surface area and volume**

- Introduction to surface area and volume
- Surface area of prisms and cylinders
- Surface area of pyramids and cones
- Volume of prisms and cylinders
- Volume of pyramids and cones
- Surface area and volume of spheres
- Introduction to similar solids
- Surface area and volume of similar solids
- Surface area and volume review

** Problem solving**

- Consecutive integer problems
- Rate of travel: word problems
- Weighted averages: word problems

** Measurement**

- Convert rates and measurements
- Metric mixed units
- Imperial mixed units
- Convert between metric and imperial units
- Precision
- Greatest possible error
- Minimum and maximum area and volume
- Percent error
- Percent error: area and volume

** Probability**

- Theoretical probability
- Experimental probability
- Compound events: find the number of outcomes
- Identify independent and dependent events
- Probability of independent and dependent events
- Geometric probability

** Statistics**

- Mean, median, mode and range
- Quartiles
- Mean absolute deviation
- Variance and standard deviation
- Identifying biased samples
- Data and graphs
- Interpret histograms
- Create histograms
- Interpret stem-and-leaf plots
- Interpret box-and-whisker plots
- Interpret a scatter plot
- Scatter plots: line of best fit

###### January 21, 2014

### Maths: Year 6 topics

Here are the list of topics you can expect your child cover in maths during year 6:

** Place values and number sense**

- Place values
- Convert between place values
- Compare numbers up to millions
- Word names for numbers
- Roman numerals
- Rounding
- Even and odd arithmetic patterns
- Understanding integers
- Compare integers
- Put integers in order

**Geometry**

- Lines, line segments and rays
- Identify planar and solid figures
- Types of triangles
- Open and closed shapes and qualities of polygons
- Regular and irregular polygons
- Number of sides in polygons
- Which figure is being described?
- Classify quadrilaterals
- Reflection, rotation and translation
- Count and compare sides, edges, faces and vertices
- Similar and congruent
- Nets of 3-dimensional figures
- Types of angles
- Measure angles with a protractor
- Perimeter
- Area of squares and rectangles
- Area of triangles
- Area of compound figures
- Area between two rectangles
- Area and perimeter of irregular figures
- Area and perimeter: word problems
- Use area and perimeter to determine cost
- Volume of figures made of unit cubes
- Volume of cubes and rectangular prisms
- Three-dimensional figures viewed from different perspectives
- Lines of symmetry
- Rotational symmetry
- Parallel, perpendicular, intersecting

**Decimals**

- What decimal number is illustrated?
- Understanding decimals expressed in words
- Place values in decimal numbers
- Equivalent decimals
- Round decimals
- Decimal number lines
- Compare decimal numbers
- Put decimal numbers in order
- Convert fractions to decimals
- Convert decimals to fractions
- Compare decimals and fractions
- Put assorted decimals, fractions and mixed numbers in order

**Addition and subtraction**

- Add and subtract whole numbers up to millions
- Add and subtract whole numbers: word problems
- Add and subtract money amounts
- Add and subtract money: word problems
- Complete addition and subtraction sentences
- Fill in the missing digits
- Choose numbers with a particular sum or difference
- Properties of addition
- Inequalities with addition and subtraction
- Estimate sums and differences of whole numbers
- Estimate sums and differences: word problems
- Add and subtract decimals
- Add and subtract decimal numbers
- Add and subtract decimals: word problems
- Choose decimals with a particular sum or difference
- Complete the addition or subtraction sentence
- Inequalities with decimal addition and subtraction
- Estimate sums and differences of decimals

**Multiplication**

- Multiply by one-digit numbers
- Multiply by one-digit numbers: word problems
- Multiplication patterns over increasing place values
- Multiply numbers ending in zeroes
- Multiply numbers ending in zeroes: word problems
- Properties of multiplication
- Choose numbers with a particular product
- Estimate products
- Estimate products: word problems
- Multiply by two-digit numbers: complete the missing steps
- Multiply two-digit numbers
- Multiply a two-digit number by a three-digit number
- Multiply by two-digit numbers: word problems
- Multiply three or four numbers
- Multiply three or four numbers: word problems
- Multiply money amounts: word problems
- Inequalities with multiplication

**Multiply decimals**

- Estimate products of decimals
- Multiply a decimal by a power of ten
- Multiply decimals and whole numbers
- Multiply decimals and whole numbers: word problems
- Multiply money amounts with decimals: word problems
- Inequalities with decimal multiplication

**Division**

- Division facts to 12
- Division facts to 12: word problems
- Divide by one-digit numbers
- Divide by one-digit numbers: word problems
- Divide by one-digit numbers: interpret remainders
- Estimate quotients: word problems
- Division patterns over increasing place values
- Divide numbers ending in zeroes
- Divide numbers ending in zeroes: word problems
- Divide by two-digit numbers
- Divide by two-digit numbers: word problems
- Divide money amounts: word problems
- Estimate quotients
- Choose numbers with a particular quotient

**Division with decimals**

- Divide by powers of ten
- Decimal division patterns over increasing place values
- Division with decimal quotients
- Division with decimal quotients and rounding
- Division with decimal quotients: word problems

**Consumer maths**

- Price lists
- Unit prices

** Problem solving**

- Multi-step word problems
- Word problems with extra or missing information
- Guess-and-check problems
- Find the order
- Use Venn diagrams to solve problems

**Number theory**

- Prime and composite numbers
- Prime factorisation
- Divisibility rules
- Divisibility rules: word problems
- Greatest common factor
- Least common multiple

**Fractions and mixed numbers**

- Fractions review
- Equivalent fractions
- Patterns of equivalent fractions
- Reduce fractions to lowest terms
- Mixed numbers
- Convert between improper fractions and mixed numbers
- Compare fractions and mixed numbers
- Put fractions in order
- Fractions of a number
- Fractions of a number: word problems
- Arithmetic sequences with fractions
- Geometric sequences with fractions
- Round mixed numbers
- Add, subtract and multiply fractions
- Add and subtract fractions with like denominators
- Add and subtract fractions with like denominators: word problems
- Add and subtract mixed numbers with like denominators
- Add and subtract mixed numbers with like denominators: word problems
- Add three or more fractions
- Add three or more fractions: word problems
- Complete addition and subtraction sentences with fractions
- Inequalities with addition and subtraction of fractions
- Estimate sums and differences of mixed numbers
- Multiply fractions by whole numbers
- Multiply fractions by whole numbers: input/output tables

**Mixed operations**

- Add, subtract, multiply and divide whole numbers
- Add, subtract, multiply and divide whole numbers: word problems
- Add, subtract, multiply and divide decimals
- Add, subtract, multiply and divide decimals: word problems

**Algebra**

- Simplify expressions using order of operations and parentheses
- Write variable expressions
- Evaluate variable expressions
- Write equations to represent word problems
- Solve equations
- Function tables
- Convert graphs to input/output tables
- Write linear functions
- Graph linear functions
- Evaluate functions

**Coordinate graphs**

- Coordinate graphs review – whole numbers only
- Coordinate graphs with decimals and negative numbers
- Graph points on a coordinate plane
- Coordinate graphs as maps
- Quadrants

**Data and graphs**

- Read a table
- Interpret line graphs
- Create line graphs
- Interpret bar graphs
- Create bar graphs
- Interpret pictographs
- Create pictographs
- Interpret histograms
- Create histograms
- Interpret line plots
- Create line plots
- Frequency charts
- Stem-and-leaf plots
- Circle graphs
- Choose the best type of graph

**Patterns and sequences**

- Geometric growth patterns
- Increasing growth patterns
- Patterns involving addition and multiplication
- Numeric patterns: word problems
- Mixed patterns review

** Ratios, proportions and percents**

- Determine the ratio
- Ratio tables
- Ratios: word problems
- Equivalent ratios
- Proportions
- Unit rates and equivalent rates
- Scale drawings
- What percentage is illustrated?
- Convert between percents, fractions and decimals
- Percent of a number
- Percent of a number: word problems
- Compare percentages

**Measurement**

- Choose the more reasonable temperature
- 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
- 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
- Precision

**Time**

- Convert time units
- Add and subtract mixed time units
- Elapsed time
- Find start and end times: word problems
- Convert between 12-hour and 24-hour time
- Time zones – 12-hour time
- Time zones – 24-hour time
- Schedules and time lines – 12-hour time
- Schedules and time lines – 24-hour time
- Time patterns

**Probability and statistics**

- Calculate mean, median, mode and range
- Mean, median, mode and range: find the missing number
- Interpret charts to find mean, median, mode and range
- Identify representative, random and biased samples
- Calculate probability
- Make predictions
- Combinations

###### January 21, 2014

### Maths: Year 5 topics

Find out what topics your child will likely learn during year 5:

**Number sense**

- Place values
- Convert between place values
- Word names for numbers
- Ordinal numbers to 100th
- Roman numerals
- Prime and composite numbers
- Rounding
- Even and odd
- Inequalities with number lines
- Compare numbers up to five digits

** Addition**

- Add numbers up to five digits
- Add numbers up to five digits: word problems
- Addition: fill in the missing digits
- Properties of addition
- Add three or more numbers up to five digits each
- Addition patterns over increasing place values
- Choose numbers with a particular sum
- Estimate sums
- Estimate sums: word problems

**Subtraction**

- Subtract numbers up to five digits
- Subtract numbers up to five digits: word problems
- Subtraction: fill in the missing digits
- Subtraction patterns over increasing place values
- Choose numbers with a particular difference
- Estimate differences
- Estimate differences: word problems

**Multiplication**

- Multiplication facts to 10
- Choose the multiples of a given number up to 12
- Multiply one-digit numbers by larger numbers
- Multiplication patterns over increasing place values
- Properties of multiplication
- Estimate products
- Estimate products: word problems
- Multiply a two-digit number by a two-digit number: complete the missing steps
- Multiply a two-digit number by a two-digit number
- Multiply a two-digit number by a two-digit number: word problems
- Choose numbers with a particular product
- Multiply numbers ending in zeroes
- Multiply numbers ending in zeroes: word problems
- Multiply three numbers
- Inequalities with multiplication

**Division**

- Division facts to 10
- Division facts to 10: word problems
- Properties of division
- Divide larger numbers
- Divide larger numbers: word problems
- Complete the division table
- Interpret remainders
- Choose numbers with a particular quotient
- Divide numbers ending in zeroes
- Estimate quotients
- Estimate quotients: word problems
- Divisibility rules
- Division patterns over increasing place values
- Divide numbers ending in zeroes, multi-digit divisors
- Divide numbers ending in zeroes, multi-digit divisors: word problems
- Inequalities with division

**Mixed operations**

- Add, subtract, multiply and divide
- Addition, subtraction, multiplication and division word problems
- Estimate sums, differences, products and quotients: word problems
- Multi-step word problems
- Word problems with extra or missing information
- Solve word problems using guess-and-check
- Choose numbers with a particular sum, difference, product or quotient
- Mentally add and subtract numbers ending in zeroes
- Inequalities involving addition, subtraction, multiplication and division

**Algebra**

- Write variable expressions
- Write variable expressions: word problems
- Evaluate variable expressions
- Write variable equations to represent word problems
- Solve variable equations

**Functions**

- Input/output tables with addition, subtraction, multiplication and division
- Function tables
- Write linear functions
- Graph linear functions

**Coordinate graphs**

- Coordinate graphs review
- Graph points on a coordinate plane
- Relative coordinates
- Coordinate graphs as maps

**Data and graphs**

- Read a table
- Interpret line graphs
- Create line graphs
- Interpret bar graphs
- Create bar graphs
- Interpret line plots
- Create line plots
- Frequency charts
- Stem-and-leaf plots
- Circle graphs
- Choose the best type of graph

**Logical reasoning**

- Guess two numbers based on sum and difference
- Guess two numbers based on sum, difference, product and quotient
- Find the order

**Patterns and sequences**

- Geometric growth patterns
- Increasing growth patterns
- Numeric patterns: word problems
- Mixed patterns review

**Money**

- Compare money amounts
- Round money amounts
- Add and subtract money amounts
- Making change
- Price lists

**Measurement**

- 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**

- 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

**Time**

- Convert time units
- Add and subtract mixed time units
- Fractions of time units
- 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

**Geometry**

- Identify planar and solid figures
- Types of triangles
- Open and closed shapes and qualities of polygons
- Which 2-dimensional shape is being described?
- Which 3-dimensional figure is being described?
- Number of sides in polygons
- Count and compare sides, edges, faces and vertices
- Similar and congruent
- Nets of 3-dimensional figures
- Acute, right, obtuse and straight angles
- Perimeter
- Area of figures made of unit squares
- Area of squares and rectangles
- Area of complex figures (with all right angles)
- Area between two rectangles

**Volume**

- Use area and perimeter to determine cost
- Lines of symmetry
- Rotational symmetry
- Lines, line segments and rays
- Parallel, perpendicular, intersecting

**Fractions** **and mixed numbers**

- Equivalent fractions
- Patterns of equivalent fractions
- Reduce fractions to lowest terms
- Fractions review
- Compare fractions
- Put fractions in order
- Fractions of a number
- Fractions of a number: word problems
- Mixed numbers
- Convert between improper fractions and mixed numbers

**Multiply fractions**

- Multiply fractions by whole numbers I
- Multiply fractions by whole numbers II
- Multiply fractions by whole numbers: word problems

**Decimals**

- What decimal number is illustrated?
- Understanding decimals expressed in words
- Place values in decimal numbers
- Equivalent decimals
- Decimal number lines
- Convert fractions and mixed numbers to decimals
- Convert decimals to fractions and mixed numbers
- Compare decimals and fractions
- Round decimals
- Compare decimal numbers
- Put decimal numbers in order
- Number sequences involving decimals
- Solve decimal problems using diagrams

**Add and subtract decimals**

- Add decimal numbers
- Subtract decimal numbers
- Add and subtract decimals: 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
- Inequalities with addition and subtraction
- Estimate sums and differences of decimals

**Probability and statistics**

- Calculate probability
- Make predictions
- Mean and mode
- U.4 Interpret charts to find mean and mode
- U.5 Combinations

###### January 21, 2014

### Maths: Year 3 topics

**Counting and number patterns**

- Skip-counting
- Skip-counting sequences
- Number lines – up to 100
- Counting patterns – up to 100
- Hundreds chart
- Even and odd: counting objects
- Even or odd I
- Even or odd II
- Which even or odd number comes before or after?
- Skip-counting stories
- Skip-counting puzzles
- Number lines – up to 1,000
- Counting patterns – up to 1,000

**Comparing and ordering**

- Comparing numbers up to 100
- Inequalities with addition and subtraction – up to 100
- Comparing numbers up to 1,000
- Put numbers up to 100 in order
- Put numbers up to 1,000 in order
- Greatest and least – word problems – up to 100
- Greatest and least – word problems – up to 1,000

**Names of numbers**

- Ordinal numbers up to 10th
- Ordinal numbers up to 100th
- Writing numbers up to 100 in words
- Writing numbers up to 1,000 in words
- Distinguishing ordinal and cardinal numbers
- Roman numerals I, V, X, L

**Patterns**

- Repeating patterns
- Growing patterns
- Describe patterns

**Addition – one digit**

- Review – add one-digit numbers – sums to 10
- Review – ways to make a number – sums to 10
- Review – writing addition sentences – sums to 10
- Adding doubles
- Add one-digit numbers
- Addition with pictures – sums to 20
- Write addition sentences to describe pictures – sums to 20
- Addition input/output tables – sums to 20
- Add zero
- Addition word problems – one digit
- Complete the addition sentence – one digit
- Write the addition sentence – one digit
- Balance addition equations – one digit
- Add three or more one-digit numbers
- Add three or more one-digit numbers – word problems

**Subtraction – one digit**

- Review – subtract one-digit numbers – up to 10
- Review – ways to subtract – up to 10
- Review – writing subtraction sentences – up to 10
- Subtracting doubles
- Subtract a one-digit number from a two-digit number up to 18
- Subtraction with pictures
- Write subtraction sentences to describe pictures – up to 18
- Subtraction input/output tables – up to 18
- Subtract zero/all
- Subtraction word problems – up to 18
- Complete the subtraction sentence – up to 18
- Write the subtraction sentence – up to 18
- Balance subtraction equations – up to 18

**Addition – two digits**

- Add multiples of 10
- Add a two-digit and a one-digit number – without regrouping
- Add a two-digit and a one-digit number – with regrouping
- Add two two-digit numbers – without regrouping
- Add two two-digit numbers – with regrouping
- Write addition sentences to describe pictures
- Addition input/output tables – up to two digits
- Ways to make a number using addition
- Addition word problems – up to two digits
- Complete the addition sentence – up to two digits
- Write the addition sentence – up to two digits
- Balance addition equations – up to two digits
- Add three or more numbers up to two digits each
- Add three or more numbers up to two digits – word problems

**Subtraction – two digits**

- Subtract multiples of 10
- Subtract a one-digit number from a two-digit number – without regrouping
- Subtract a one-digit number from a two-digit number – with regrouping
- Subtract two two-digit numbers – without regrouping
- Subtract two two-digit numbers – with regrouping
- Write subtraction sentences to describe pictures – up to two digits
- Subtraction input/output tables – up to two digits
- Ways to make a number using subtraction
- Subtraction word problems – up to two digits
- Complete the subtraction sentence – up to two digits
- Write the subtraction sentence – up to two digits
- Balance subtraction equations – up to two digits

**Addition – three digits**

- Add multiples of 100
- Add two three-digit numbers
- Addition input/output tables – up to three digits
- Addition word problems – up to three digits
- Complete the addition sentence – up to three digits
- Write the addition sentence – up to three digits
- Balance addition equations – up to three digits

**Subtraction – three digits**

- Subtract multiples of 100
- Subtract three-digit numbers
- Subtraction input/output tables – up to three digits
- Subtraction word problems – up to three digits
- Complete the subtraction sentence – up to three digits
- Write the subtraction sentence – up to three digits
- Balance subtraction equations – up to three digits

**Properties**

- Related addition facts
- Related subtraction facts
- Fact families
- Addition, subtraction, multiplication and division terms
- Solve inequalities using addition and subtraction shortcuts

**Place values**

- Place value models – tens and ones
- Place value models – up to hundreds
- Place value models – up to thousands
- Value of underlined digit – tens and ones
- Value of underlined digit – up to hundreds
- Value of underlined digit – up to thousands
- Regrouping tens and ones I
- Regrouping tens and ones II
- Convert to/from a number – tens and ones
- Convert to/from a number – up to hundreds
- Convert to/from a number – up to thousands
- Convert between place values – up to thousands
- Convert from expanded form – up to hundreds
- Convert from expanded form – up to thousands
- Identify the digit in the ones, tens, hundreds or thousands place

**Estimation and rounding**

- Estimate to the nearest ten
- Round to the nearest ten
- Round to the nearest ten or hundred
- Round to the nearest ten, hundred or thousand
- Estimate sums

**Mixed operations**

- Add and subtract numbers up to 20
- Addition and subtraction – ways to make a number – up to 20
- Addition and subtraction word problems – up to 20
- Addition and subtraction – balance equations – up to 20
- Input/output tables – write the rule – up to 20
- Add and subtract numbers up to 100
- Addition and subtraction – ways to make a number – up to 100
- Addition and subtraction word problems – up to 100
- Addition and subtraction – balance equations – up to 100
- Input/output tables – write the rule – up to 100
- Which sign (+ or -) makes the number sentence true?
- Write addition and subtraction sentences

**Logical reasoning**

- Guess the number

**Money**

- Coin values
- Count money – up to £1
- Count money – up to £5
- Equivalent amounts of money – up to £1
- Equivalent amounts of money – up to £5
- Equivalent coins I
- Equivalent coins II
- Add and subtract money – up to £1
- Add and subtract money – word problems – up to £1
- Add and subtract money – word problems – up to £5
- Which picture shows more – up to £1
- Which picture shows more – up to £5
- Least number of coins
- Purchases – do you have enough money – up to £1
- Purchases – do you have enough money – up to £5
- How much more to make one pound?
- Making change

**Time**

- Days of the week
- Reading clocks
- Time words: o’clock, half, quarter
- Match clocks and times
- Match analog and digital clocks
- Seasons
- A.M. and P.M.
- Compare clocks
- Elapsed time I
- Elapsed time II
- Choose the appropriate time units
- Read a calendar
- Months of the year
- Number of days in each month
- Relate time units
- Time patterns

**Data and graphs**

- Coordinate graphs
- Interpret bar graphs
- Which bar graph is correct?
- Interpret line plots
- Create line plots
- Interpret pictographs
- Create pictographs
- Interpret line graphs
- Which line graph is correct?
- Interpret Venn diagrams

**Measurement**

- Long and short
- Tall and short
- Light and heavy
- Holds more or less
- Compare size, mass and capacity
- Read a thermometer
- Choose the appropriate measuring tool
- Which metric unit of length is appropriate?
- Metric units of length: word problems
- Which metric unit of mass is appropriate?
- Which metric unit of volume is appropriate?
- Compare and convert metric units of volume
- Compare and convert metric units of mass
- Which imperial unit of length is appropriate?
- Imperial units of length: word problems
- Which imperial unit of weight is appropriate?
- Which imperial unit of volume is appropriate?
- Compare and convert imperial units of volume
- Compare and convert imperial units of weight

**Geometry**

- Identify planar and solid shapes
- Compare sides, vertices, edges and faces
- Count sides, vertices, edges and faces
- Symmetry
- Congruent
- Flip, turn and slide
- Perimeter
- Perimeter – word problems
- Area
- Angles: greater than, less than or equal to a right angle
- Fractions of a turn

**Fractions**

- Halves, thirds and quarters
- Identify the fraction
- Which shape illustrates the fraction?
- Parts of a group
- Fraction word problems
- Compare fractions
- Order fractions with like numerators
- Probability and statistics
- More, less and equally likely
- Certain, probable, unlikely and impossible

**Multiplication**

- Multiplication sentences
- Multiplication tables up to 5
- Multiplication tables up to 10

**Division**

- Divisors and quotients up to 5
- Divisors and quotients up to 10