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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

Geek Boy

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

 

Geek Boy

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

Geek Boy

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

Geek Boy

January 21, 2014

Maths: Year 2 topics

Below are a list of maths topics that you can expect your child to learn in year 2:

Counting and number patterns

Addition

Addition – skill builders

Subtraction

Subtraction – skill builders

Mixed operations

Comparing

Estimation

Fractions

Geometry

Spatial sense

Data and graphs

Measurement

Money

Patterns

Time

Multiplication

Division

Geek Boy