Year 9

Taha Academy offers hundreds of year 9 maths skills to explore and learn! Not sure where to start? Go to your personalised Recommendations wall and choose a skill that looks interesting!

Number theory

A.1 Factors

A.2 Divisibility rules

A.3 Prime or composite

A.4 Prime factorisation

A.5 Highest common factor

A.6 Lowest common multiple

A.7 HCF and LCM: word problems

A.8 Classify numbers
Integers

B.1 Integers on number lines

B.2 Graph integers on horizontal and vertical number lines

B.3 Absolute value and opposite integers

B.4 Compare and order integers

B.5 Integer inequalities with absolute values
Operations with integers

C.1 Integer addition and subtraction rules

C.2 Add and subtract integers using counters

C.3 Add and subtract integers

C.4 Add and subtract three or more integers

C.5 Add and subtract integers: word problems

C.6 Integer multiplication and division rules

C.7 Multiply and divide integers

C.8 Evaluate numerical expressions involving integers
Rational numbers

D.1 Identify rational and irrational numbers

D.2 Write fractions in lowest terms

D.3 Lowest common denominator

D.4 Round decimals and mixed numbers

D.5 Absolute value of rational numbers

D.6 Convert between decimals and fractions or mixed numbers

D.7 Compare rational numbers

D.8 Put rational numbers in order
Operations with rational numbers

E.1 Reciprocals and multiplicative inverses

E.2 Add and subtract rational numbers

E.3 Add and subtract rational numbers: word problems

E.4 Apply addition and subtraction rules

E.5 Multiply and divide rational numbers

E.6 Multiply and divide rational numbers: word problems

E.7 Apply multiplication and division rules

E.8 Apply addition, subtraction, multiplication and division rules

E.9 Evaluate numerical expressions involving rational numbers
Exponents and roots

F.1 Understanding exponents

F.2 Evaluate exponents

F.3 Solve equations with variable exponents

F.4 Exponents with negative bases

F.5 Exponents with decimal and fractional bases

F.6 Understanding negative exponents

F.7 Evaluate negative exponents

F.8 Multiplication with exponents

F.9 Division with exponents

F.10 Multiplication and division with exponents

F.11 Power rule

F.12 Evaluate expressions using properties of exponents

F.13 Identify equivalent expressions involving exponents

F.14 Square roots of perfect squares

F.15 Positive and negative square roots

F.16 Estimate positive and negative square roots

F.17 Relationship between squares and square roots

F.18 Solve equations involving squares and square roots

F.19 Cube roots of perfect cubes

F.20 Estimate cube roots
Standard form

G.1 Convert between ordinary numbers and standard form

G.2 Compare numbers written in standard form
Ratios, rates and proportions

H.1 Understanding ratios

H.2 Identify equivalent ratios

H.3 Write an equivalent ratio

H.4 Equivalent ratios: word problems

H.5 Unit rates

H.6 Compare ratios: word problems

H.7 Solve proportions: word problems

H.8 Do the ratios form a proportion?

H.9 Do the ratios form a proportion: word problems

H.10 Solve proportions

H.11 Estimate population size using proportions

H.12 Scale drawings: word problems
Proportional relationships

I.1 Find the constant of proportionality from a table

I.2 Write equations for proportional relationships from tables

I.3 Identify proportional relationships by graphing

I.4 Find the constant of proportionality from a graph

I.5 Write equations for proportional relationships from graphs

I.6 Identify proportional relationships

I.7 Graph proportional relationships

I.8 Interpret graphs of proportional relationships

I.9 Write and solve equations for proportional relationships
Percents

J.1 Convert between percents, fractions and decimals

J.2 Compare percents to fractions and decimals

J.3 Find what percent one number is of another

J.4 Find what percent one number is of another: word problems

J.5 Estimate percents of numbers

J.6 Percents of numbers and money amounts

J.7 Percents of numbers: word problems

J.8 Compare percents of numbers

J.9 Solve percent equations

J.10 Percent of change

J.11 Percent of change: word problems
Consumer maths

K.1 Price lists

K.2 Unit prices

K.3 Unit prices: find the total price

K.4 Percent of a number: VAT, discount and more

K.5 Find the percent: discount and mark-up

K.6 Sale prices: find the original price

K.7 Multi-step problems with percents

K.8 Estimate tips

K.9 Simple interest

K.10 Compound interest
Units of measurement

L.1 Convert rates and measurements: metric units

L.2 Metric mixed units

L.3 Convert between square metres and hectares

L.4 Convert square and cubic units of length

L.5 Convert between cubic metres and litres

L.6 Precision

L.7 Convert rates and measurements: imperial units

L.8 Imperial mixed units

L.9 Convert between metric and imperial units
Problem solving

M.1 Multi-step word problems

M.2 Guess-and-check word problems

M.3 Use Venn diagrams to solve problems

M.4 Elapsed time word problems
Coordinate plane

N.1 Coordinate plane review

N.2 Quadrants and axes

N.3 Follow directions on a coordinate plane

N.4 Find the distance between two points
Two-dimensional figures

O.1 Identify and classify polygons

O.2 Classify triangles

O.3 Identify trapeziums

O.4 Classify quadrilaterals

O.5 Graph triangles and quadrilaterals

O.6 Find missing angles in triangles and quadrilaterals

O.7 Interior angles of polygons

O.8 Identify complementary, supplementary, vertical, adjacent and congruent angles

O.9 Find measures of complementary, supplementary, vertical and adjacent angles

O.10 Transversal of parallel lines

O.11 Find lengths and measures of bisected line segments and angles

O.12 Parts of a circle
Transformations and congruence

P.1 Symmetry

P.2 Identify reflections, rotations and translations

P.3 Translations: graph the image

P.4 Translations: find the coordinates

P.5 Reflections: graph the image

P.6 Reflections: find the coordinates

P.7 Rotations: graph the image

P.8 Rotations: find the coordinates

P.9 Side lengths and angle measures of congruent figures

P.10 Congruence statements and corresponding parts

P.11 Congruent triangles: SSS, SAS and ASA
Transformations and similarity

Q.1 Similar and congruent figures

Q.2 Dilations: graph the image

Q.3 Dilations: find the coordinates

Q.4 Dilations: scale factor and classification

Q.5 Side lengths and angle measures of similar figures
Constructions

R.1 Construct the midpoint or perpendicular bisector of a segment

R.2 Construct an angle bisector

R.3 Construct a congruent angle

R.4 Construct a perpendicular line

R.5 Construct parallel lines

R.6 Construct an equilateral triangle or regular hexagon
Pythagoras' theorem

S.1 Pythagoras’ theorem: find the length of the hypotenuse

S.2 Pythagoras’ theorem: find the missing leg length

S.3 Pythagoras’ theorem: find the perimeter

S.4 Pythagoras’ theorem: word problems

S.5 Converse of Pythagoras’ theorem: is it a right triangle?
Three-dimensional figures

T.1 Parts of three-dimensional figures

T.2 Nets of three-dimensional figures

T.3 Front, side and top view

T.4 Base plans

T.5 Similar solids
Geometric measurement

U.1 Perimeter

U.2 Area

U.3 Area and perimeter: word problems

U.4 Area between two shapes

U.5 Circles, semicircles and quarter circles

U.6 Circles: word problems

U.7 Volume

U.8 Surface area of prisms and cylinders

U.9 Volume and surface area of similar solids

U.10 Perimeter, area and volume: changes in scale
Number sequences

V.1 Identify arithmetic and geometric sequences

V.2 Arithmetic sequences

V.3 Geometric sequences

V.4 Number sequences: mixed review

V.5 Number sequences: word problems

V.6 Evaluate variable expressions for number sequences

V.7 Write variable expressions for arithmetic sequences
Expressions and properties

W.1 Write variable expressions

W.2 Write variable expressions from diagrams

W.3 Write variable expressions: word problems

W.4 Evaluate one-variable expressions

W.5 Evaluate multi-variable expressions

W.6 Evaluate absolute value expressions

W.7 Evaluate radical expressions

W.8 Evaluate rational expressions

W.9 Identify terms and coefficients

W.10 Sort factors of expressions

W.11 Properties of addition and multiplication

W.12 Multiply using the distributive property

W.13 Simplify variable expressions using properties

W.14 Add and subtract like terms

W.15 Add, subtract and multiply linear expressions

W.16 Factors of linear expressions

W.17 Identify equivalent linear expressions
One-variable equations

X.1 Which x satisfies an equation?

X.2 Write an equation from words

X.3 Model and solve equations using algebra tiles

X.4 Write and solve equations that represent diagrams

X.5 Properties of equality

X.6 Solve one-step equations

X.7 Solve two-step equations

X.8 Solve multi-step equations

X.9 Solve equations involving like terms

X.10 Solve equations with variables on both sides

X.11 Solve equations: mixed review

X.12 Solve equations: complete the solution

X.13 Solve equations: word problems
One-variable inequalities

Y.1 Solutions to inequalities

Y.2 Write inequalities from number lines

Y.3 Solve one-step inequalities

Y.4 Solve two-step linear inequalities

Y.5 Solve multi-step inequalities
Linear equations

Z.1 Find the gradient of a graph

Z.2 Find the gradient from two points

Z.3 Find a missing coordinate using gradient

Z.4 Find the gradient of an equation

Z.5 Graph a line using gradient

Z.6 Graph a line from an equation

Z.7 Write a linear equation from a gradient and y-intercept

Z.8 Write a linear equation from a graph

Z.9 Write a linear equation from a gradient and a point

Z.10 Write a linear equation from two points

Z.11 Gradients of parallel and perpendicular lines
Functions

AA.1 Identify functions

AA.2 Does (x, y) satisfy the linear function?

AA.3 Identify independent and dependent variables

AA.4 Rate of change

AA.5 Constant rate of change

AA.6 Complete a table for a linear function

AA.7 Complete a table and graph a linear function

AA.8 Interpret the graph of a linear function: word problems

AA.9 Write a linear function from a table

AA.10 Compare linear functions: graphs, tables and equations

AA.11 Write linear functions: word problems

AA.12 Interpret linear functions

AA.13 Identify linear and nonlinear functions

AA.14 Does (x, y) satisfy the nonlinear function?

AA.15 Find values using function graphs

AA.16 Complete a table for a function graph
Monomials and polynomials

BB.1 Identify monomials

BB.2 Model polynomials with algebra tiles

BB.3 Add and subtract polynomials using algebra tiles

BB.4 Add and subtract polynomials

BB.5 Add polynomials to find perimeter

BB.6 Multiply monomials

BB.7 Divide monomials

BB.8 Multiply and divide monomials

BB.9 Powers of monomials

BB.10 Square and cube roots of monomials

BB.11 Multiply polynomials using algebra tiles

BB.12 Multiply polynomials

BB.13 Multiply polynomials to find area
Data and graphs

CC.1 Interpret tables

CC.2 Interpret bar graphs for categorical data

CC.3 Create bar graphs for categorical data

CC.4 Interpret line graphs

CC.5 Create line graphs

CC.6 Interpret line plots

CC.7 Create line plots

CC.8 Interpret stem-and-leaf plots

CC.9 Create stem-and-leaf plots

CC.10 Interpret bar graphs for continuous data

CC.11 Create bar graphs for continuous data

CC.12 Create frequency charts

CC.13 Interpret box-and-whisker plots

CC.14 Scatter plots

CC.15 Interpret pie charts

CC.16 Pie charts and central angles

CC.17 Choose the best type of graph
Statistics

DD.1 Calculate mean, median, mode and range

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

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

DD.4 Changes in mean, median, mode and range

DD.5 Quartiles

DD.6 Identify representative, random and biased samples
Probability

EE.1 Probability of simple events

EE.2 Probability of opposite, mutually exclusive and overlapping events

EE.3 Experimental probability

EE.4 Make predictions

EE.5 Compound events: find the number of outcomes

EE.6 Identify independent and dependent events

EE.7 Probability of independent and dependent events

EE.8 Counting principle

Taha Naguib is an experience instructor devoted to make math more intuitive and fun for students.

Year 9

Year 9

Number theory

Integers

Operations with integers

Rational numbers

Operations with rational numbers

Exponents and roots

Standard form

Ratios, rates and proportions

Proportional relationships

Percents

Consumer maths

Units of measurement

Problem solving

Coordinate plane

Two-dimensional figures

Transformations and congruence

Transformations and similarity

Constructions

Pythagoras' theorem

Three-dimensional figures

Geometric measurement

Number sequences

Expressions and properties

One-variable equations

One-variable inequalities

Linear equations

Functions

Monomials and polynomials

Data and graphs

Statistics

Probability

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