###### February 8, 2014

### How to convert fraction to percentages to decimals

Never be confused again. Here’s a simple way to remember how to convert decimals to fraction and then to percentages and vice versa. Read More

###### January 31, 2014

### Maths: Year 10 topics

**Numbers**

- Classify numbers
- Prime or composite
- Compare and order rational numbers
- Number lines
- Convert between decimals and fractions
- Square roots
- Cube roots

**Operations**

- Add, subtract, multiply and divide integers
- Order of operations with integers
- Evaluate variable expressions involving integers
- Add and subtract rational numbers
- Multiply and divide rational numbers
- Order of operations with rational numbers
- Evaluate variable expressions involving rational numbers

**Ratios and proportions**

- Identify equivalent ratios
- Equivalent ratios: fill in the missing number
- Unit rates
- Unit prices
- Solve proportions
- Solve proportions: word problems
- Scale drawings and scale factors

**Percents**

- Convert between percents, fractions and decimals
- Solve percent equations
- Percent word problems
- Percent of change
- Percent of change: word problems
- Percent of a number: VAT, discount and more
- Find the percent: discount and mark-up
- Multi-step problems with percents

**Measurement**

- Estimate metric measurements
- 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

**Geometry**

- Perimeter
- Area
- Symmetry
- Identify and classify polygons
- Interior angles of polygons
- Volume
- Surface area
- Congruent figures: side lengths and angle measures
- Similar figures: side lengths and angle measures
- Similar triangles and indirect measurement
- Area and perimeter of similar figures
- Area between two shapes
- Similar solids
- Volume and surface area of similar solids
- Perimeter, area and volume: changes in scale
- Identify reflections, rotations and translations
- Reflections, rotations and translations: find the coordinates
- Reflections, rotations and translations: graph the image
- Dilations and scale factors
- Pythagorean theorem
- Pythagorean theorem: word problems
- Converse of the Pythagorean theorem: is it a right triangle?

**Coordinate graphs**

- Points on coordinate graphs
- Quadrants and axes
- Distance between two points

**Properties**

- Properties of addition and multiplication
- Distributive property
- Simplify variable expressions using properties
- Properties of equality

**Logic**

- Identify hypotheses and conclusions
- Counterexamples

**Variable expressions and equations**

- Write variable expressions
- Simplify variable expressions involving like terms and the distributive property
- Write variable equations
- Does x satisfy the equation?
- Solve equations using order of operations

**Solve equations**

- Model and solve equations using algebra tiles
- Write and solve equations that represent diagrams
- Solve one-step linear equations
- Solve 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**

L.2 Write inequalities from graphs

L.3 Identify solutions to inequalities

L.4 Solve one-step linear inequalities: addition and subtraction

L.5 Solve one-step linear inequalities: multiplication and division

L.6 Solve one-step linear inequalities

L.7 Graph solutions to one-step linear inequalities

L.8 Solve two-step linear inequalities

L.9 Graph solutions to two-step linear inequalities

L.10 Solve advanced linear inequalities

L.11 Graph solutions to advanced linear inequalities

L.12 Graph compound inequalities

L.13 Write compound inequalities from graphs

L.14 Solve compound inequalities

L.15 Graph solutions to compound inequalities

**Data and graphs**

M.1 Interpret bar graphs, line graphs and histograms

M.2 Create bar graphs, line graphs and histograms

M.3 Circle graphs

M.4 Interpret stem-and-leaf plots

M.5 Interpret box-and-whisker plots

M.6 Interpret a scatter plot

M.7 Scatter plots: line of best fit

Relations and functions

N.1 Relations: convert between tables, graphs, mappings and lists of points

N.2 Identify independent and dependent variables

N.3 Identify functions

N.4 Identify functions: vertical line test

N.5 Identify types of functions from graphs

N.6 Complete a function table

N.7 Evaluate function rules I

N.8 Evaluate function rules II

N.9 Graph a function

N.10 Write a function rule: word problems

N.11 Find points on a function graph

N.12 Write a rule for a function table

Direct and inverse variation

O.1 Identify proportional relationships

O.2 Find the constant of variation

O.3 Graph a proportional relationship

O.4 Write direct variation equations

O.5 Write and solve direct variation equations

O.6 Identify direct variation and inverse variation

O.7 Write inverse variation equations

O.8 Write and solve inverse variation equations

**Linear functions**

P.1 Identify linear functions

P.2 Find the slope of a graph

P.3 Find slope from two points

P.4 Slope-intercept form: find slope and y-intercept

P.5 Slope-intercept form: graph an equation

P.6 Slope-intercept form: write an equation from a graph

P.7 Slope-intercept form: write an equation

P.8 Linear equations: solve for y

P.9 Linear function word problems

P.10 Write equations in standard form

P.11 Standard form: find x- and y-intercepts

P.12 Standard form: graph an equation

P.13 Equations of horizontal and vertical lines

P.14 Graph a horizontal or vertical line

P.15 Point-slope form: graph an equation

P.16 Point-slope form: write an equation from a graph

P.17 Point-slope form: write an equation

P.18 Slopes of parallel and perpendicular lines

P.19 Write an equation for a parallel or perpendicular line

**Linear inequalities**

Q.1 Does (x, y) satisfy the inequality?

Q.2 Linear inequalities: solve for y

Q.3 Graph a linear inequality in two variables

Q.4 Linear inequalities: word problems

Q.5 Is (x, y) a solution to the system of inequalities?

**Simultaneous equations**

R.1 Is (x, y) a solution to the simultaneous equations?

R.2 Solve simultaneous equations by graphing

R.3 Solve simultaneous equations by graphing: word problems

R.4 Find the number of solutions to simultaneous equations by graphing

R.5 Find the number of solutions to simultaneous equations

R.6 Solve simultaneous equations using substitution

R.7 Solve simultaneous equations using substitution: word problems

R.8 Solve simultaneous equations using elimination

R.9 Solve simultaneous equations using elimination: word problems

**Exponents**

S.1 Exponents with integer bases

S.2 Exponents with decimal and fractional bases

S.3 Negative exponents

S.4 Multiplication with exponents

S.5 Division with exponents

S.6 Multiplication and division with exponents

S.7 Power rule

S.8 Simplify expressions involving exponents

**Number sequences**

T.1 Identify arithmetic and geometric sequences

T.2 Arithmetic sequences

T.3 Geometric sequences

T.4 Evaluate variable expressions for number sequences

T.5 Write variable expressions for arithmetic sequences

T.6 Write variable expressions for geometric sequences

T.7 Number sequences: mixed review

**Scientific notation**

U.1 Convert between standard and scientific notation

U.2 Compare numbers written in scientific notation

U.3 Multiply numbers written in scientific notation

U.4 Divide numbers written in scientific notation

**Exponential functions**

V.1 Evaluate an exponential function

V.2 Match exponential functions and graphs

V.3 Exponential growth and decay: word problems

**Monomials**

W.1 Identify monomials

W.2 Multiply monomials

W.3 Divide monomials

W.4 Multiply and divide monomials

W.5 Powers of monomials

**Polynomials**

X.1 Polynomial vocabulary

X.2 Model polynomials with algebra tiles

X.3 Add and subtract polynomials using algebra tiles

X.4 Add and subtract polynomials

X.5 Add polynomials to find perimeter

X.6 Multiply a polynomial by a monomial

X.7 Multiply two polynomials using algebra tiles

X.8 Multiply two binomials

X.9 Multiply two binomials: special cases

X.10 Multiply polynomials

**Factorising**

Y.1 GCF of monomials

Y.2 Factorise out a monomial

Y.3 Factorise quadratics with leading coefficient 1

Y.4 Factorise quadratics with other leading coefficients

Y.5 Factorise quadratics: special cases

Y.6 Factorise by grouping

Y.7 Factorise polynomials

**Quadratic equations**

Z.1 Characteristics of quadratic functions

Z.2 Complete a function table: quadratic functions

Z.3 Solve a quadratic equation using square roots

Z.4 Solve an equation using the zero product property

Z.5 Solve a quadratic equation by factorising

Z.6 Complete the square

Z.7 Solve a quadratic equation by completing the square

Z.8 Solve a quadratic equation using the quadratic formula

**Radical expressions**

AA.1 Simplify radical expressions

AA.2 Simplify radical expressions by rationalising the denominator

AA.3 Multiply radical expressions

AA.4 Add and subtract radical expressions

AA.5 Simplify radical expressions using the distributive property

AA.6 Simplify radical expressions: mixed review

**Rational functions and expressions**

BB.1 Rational functions: asymptotes and excluded values

BB.2 Simplify complex fractions

BB.3 Simplify rational expressions

BB.4 Multiply and divide rational expressions

BB.5 Divide polynomials

BB.6 Add and subtract rational expressions

BB.7 Solve rational equations

**Problem solving**

CC.1 Word problems: mixed review

CC.2 Word problems with money

CC.3 Consecutive integer problems

CC.4 Rate of travel: word problems

CC.5 Weighted averages: word problems

**Probability**

DD.1 Theoretical probability

DD.2 Experimental probability

DD.3 Compound events: find the number of outcomes

DD.4 Identify independent and dependent events

DD.5 Probability of independent and dependent events

**Statistics**

EE.1 Calculate mean, median, mode and range

EE.2 Interpret charts to find mean, median, mode and range

EE.3 Mean, median, mode and range: find the missing number

EE.4 Quartiles

EE.5 Identifying biased samples

###### 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