January 20, 2014

Maths: Year 7 topics

Below is a list of topics you can expect your child to know by the end of year 7:

Whole numbers
A.1 Place values in whole numbers
A.2 Word names for numbers
A.3 Roman numerals

Decimal numbers
B.1 What decimal number is illustrated?
B.2 Decimal place values
B.3 Word names for decimal numbers
B.4 Convert decimals to mixed numbers
B.5 Put decimal numbers in order
B.6 Inequalities with decimals
B.7 Round decimals
B.8 Round whole numbers and decimals: find the missing digit
B.9 Decimal number lines

Integers
C.1 Understanding integers
C.2 Number lines with integers
C.3 Compare and order integers

Exponents and square roots
D.1 Write multiplication expressions using exponents
D.2 Evaluate exponents
D.3 Exponents: solve for the variable
D.4 Exponents with decimal bases
D.5 Exponents with fractional bases
D.6 Square roots of perfect squares
D.7 Estimate square roots

Money
E.1 Find the number of each type of coin
E.2 Add and subtract money amounts
E.3 Add and subtract money amounts: word problems
E.4 Multiply money by whole numbers
E.5 Multiply money: word problems
E.6 Divide money amounts
E.7 Divide money amounts: word problems

Consumer maths
F.1 Sale prices
F.2 Which is the better coupon?
F.3 Unit prices: which is the better buy?
F.4 Unit prices with fractions and decimals
F.5 Percents – calculate tip, mark-up and more
F.6 Percents – calculate VAT
F.7 Simple interest

Add and subtract integers
G.1 Review – add and subtract whole numbers
G.2 Review – add and subtract whole numbers: word problems
G.3 Properties of addition
G.4 Add integers – using counters
G.5 Add integers
G.6 Subtract integers – using counters
G.7 Subtract integers
G.8 Add and subtract integers – input/output tables
G.9 Add three or more integers
G.10 Integer addition and subtraction rules

Add and subtract decimals
H.1 Add and subtract decimal numbers
H.2 Add and subtract decimals: word problems
H.3 Estimate sums and differences of decimals
H.4 Maps with decimal distances

Multiplication
I.1 Multiply whole numbers
I.2 Multiply whole numbers: word problems
I.3 Multiply numbers ending in zeroes
I.4 Multiply numbers ending in zeroes: word problems
I.5 Multiply three or more numbers
I.6 Multiply three or more numbers: word problems
I.7 Estimate products
I.8 Properties of multiplication
I.9 Solve for a variable using properties of multiplication
I.10 Integer multiplication rules
I.11 Multiply integers

Division
J.1 Divisibility rules
J.2 Division patterns with zeroes
J.3 Divide numbers ending in zeroes: word problems
J.4 Estimate quotients
J.5 Divide whole numbers – two-digit divisors
J.6 Integer division rules
J.7 Divide integers

Multiply and divide decimals

K.1 Multiply a decimal by a one-digit whole number
K.2 Multiply a decimal by a multi-digit whole number
K.3 Multiply decimals and whole numbers: word problems
K.4 Multiply two decimals using grids
K.5 Multiply decimals
K.6 Estimate products of decimal numbers
K.7 Inequalities with decimal multiplication
K.8 Divide decimals by whole numbers
K.9 Divide decimals by whole numbers: word problems
K.10 Multiply and divide decimals by powers of ten
K.11 Division with decimal quotients
K.12 Inequalities with decimal division
K.13 Simplify expressions involving decimals

Problem solving and estimation
L.1 Estimate to solve word problems
L.2 Word problems with multiple steps or extra or missing information
L.3 Guess-and-check word problems
L.4 Distance/direction to starting point
L.5 Use logical reasoning to find the order

Number theory
M.1 Prime or composite
M.2 Identify factors
M.3 Prime factorisation
M.4 Prime factorisation with exponents
M.5 Greatest common factor
M.6 Least common multiple
M.7 GCF and LCM: word problems

Algebra
N.1 Write variable expressions to represent word problems
N.2 Simplify expressions
N.3 Evaluate variable expressions with whole numbers
N.4 Solve word problems involving two-variable equations
N.5 Evaluate variable expressions involving decimals
N.6 Solve one-step equations with whole numbers
N.7 Solve one-step equations involving decimals
N.8 Evaluate multi-variable expressions
N.9 Solve two-step equations
N.10 Complete a function table
N.11 Write linear functions
N.12 Evaluate expressions involving integers
N.13 Solve equations involving integers
N.14 Does (x, y) satisfy an equation?
N.15 Identify terms, coefficients and monomials
N.16 Add and subtract like terms
N.17 Solve equations involving like terms

Coordinate graphs
O.1 Coordinate graphs review
O.2 Graph points on a coordinate plane
O.3 Coordinate graphs as maps
O.4 Find points on a function graph
O.5 Graph linear functions
O.6 Relative coordinates

Data and graphs
P.1 Interpret pictographs
P.2 Create pictographs
P.3 Stem-and-leaf plots
P.4 Interpret line plots
P.5 Create line plots
P.6 Create frequency tables
P.7 Interpret bar graphs
P.8 Create bar graphs
P.9 Interpret double bar graphs
P.10 Create double bar graphs
P.11 Create histograms
P.12 Circle graphs with fractions
P.13 Interpret line graphs
P.14 Create line graphs
P.15 Interpret double line graphs
P.16 Create double line graphs
P.17 Choose the best type of graph

Fractions and mixed numbers
Q.1 Fractions and mixed numbers review
Q.2 Equivalent fractions review
Q.3 Simplify fractions
Q.4 Understanding fractions: word problems
Q.5 Least common denominator
Q.6 Compare fractions with like and unlike denominators
Q.7 Compare fractions: word problems
Q.8 Convert between improper fractions and mixed numbers
Q.9 Convert between decimals and fractions or mixed numbers
Q.10 Put a mix of decimals, fractions and mixed numbers in order

Rational numbers
R.1 Compare rational numbers
R.2 Put rational numbers in order

Add and subtract fractions
S.1 Add and subtract fractions with like denominators
S.2 Add and subtract fractions with like denominators: word problems
S.3 Add and subtract fractions with unlike denominators
S.4 Add and subtract fractions with unlike denominators: word problems
S.5 Inequalities with addition and subtraction of like and unlike fractions
S.6 Add and subtract mixed numbers
S.7 Add and subtract mixed numbers: word problems
S.8 Estimate sums and differences of mixed numbers

Multiply fractions
T.1 Fractions of whole numbers I
T.2 Fractions of whole numbers II
T.3 Fractions of a number: word problems
T.4 Estimate products of fractions and whole numbers
T.5 Multiply fractions – with models
T.6 Multiply two fractions
T.7 Multiply fractions: word problems
T.8 Multiply three or more fractions and whole numbers
T.9 Estimate products of fractions, whole numbers and mixed numbers

Mixed operations
U.1 Add, subtract, multiply and divide whole numbers
U.2 Add, subtract, multiply and divide whole numbers: word problems
U.3 Add, subtract, multiply and divide integers
U.4 Add, subtract, multiply and divide decimals
U.5 Add, subtract, multiply and divide decimals: word problems
U.6 Add, subtract and multiply fractions
U.7 Add, subtract and multiply fractions: word problems

Measurement
V.1 Estimate metric measurements
V.2 Convert and compare metric units
V.3 Metric mixed units
V.4 Convert square and cubic units of length
V.5 Convert between cubic metres and litres
V.6 Working with temperatures above and below zero
V.7 Estimate imperial measurements
V.8 Convert and compare imperial units
V.9 Imperial mixed units
V.10 Convert between metric and imperial units
V.11 Precision

Time
W.1 Elapsed time
W.2 Time units
W.3 Find start and end times
W.4 Convert between 12-hour and 24-hour time
W.5 Transportation schedules

Geometry
X.1 Lines, line segments and rays
X.2 Review of 2- and 3-dimensional figures
X.3 Angle review: measure and classify
X.4 Estimate angle measurements
X.5 Name angles
X.6 Complementary and supplementary angles
X.7 Transversal of parallel lines
X.8 Triangle review
X.9 Classify quadrilaterals
X.10 Find missing angles and side lengths in triangles and quadrilaterals
X.11 Sums of angles in polygons
X.12 Parts of a circle
X.13 Central angles of circles
X.14 Similar and congruent figures
X.15 Find side lengths of similar figures
X.16 Reflection, rotation and translation
X.17 Translations: graph the image
X.18 Reflections: graph the image
X.19 Rotations: graph the image
X.20 Symmetry
X.21 Perimeter
X.22 Area of figures made of unit squares
X.23 Area of squares and rectangles
X.24 Area of triangles
X.25 Area of parallelograms and trapezoids
X.26 Area of compound figures
X.27 Area between two rectangles
X.28 Area between two triangles
X.29 Area between two circles
X.30 Area and perimeter of irregular figures
X.31 Area and perimeter: word problems
X.32 Rectangles: relationship between perimeter and area
X.33 Compare area and perimeter of two figures
X.34 Identify polyhedra and count faces, edges and vertices
X.35 Which figure is being described?
X.36 Front, side and top view
X.37 Nets of 3-dimensional figures
X.38 Volume of figures made of unit cubes
X.39 Volume and surface area of cubes and rectangular prisms
X.40 Volume and surface area of triangular prisms

Ratios, proportions and percents
Y.1 Write a ratio to describe objects in a picture
Y.2 Ratio tables
Y.3 Ratios: word problems
Y.4 Equivalent ratios
Y.5 Compare ratios: word problems
Y.6 Proportions
Y.7 Unit rates and equivalent rates
Y.8 Scale drawings
Y.9 What percentage is illustrated?
Y.10 Convert between percents, fractions and decimals
Y.11 Compare percents to each other and to fractions
Y.12 Compare percents and fractions: word problems
Y.13 Percents of numbers and money amounts
Y.14 Percents of numbers: word problems
Y.15 Find what percent one number is of another
Y.16 Find what percent one number is of another: word problems

Statistics
Z.1 Calculate mean, median, mode and range
Z.2 Interpret charts to find mean, median, mode and range
Z.3 Mean, median, mode and range: find the missing number
Z.4 Identify representative, random and biased samples

Probability
AA.1 Combinations
AA.2 Probability of one event
AA.3 Make predictions
AA.4 Probability of opposite, mutually exclusive and overlapping events
AA.5 Compound events – find the number of outcomes by counting

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