Year 10

Taha Academy offers hundreds of year 10 maths skills to explore and learn! Not sure where to start? Go to your personalised Recommendations wall and choose a skill that looks interesting!

Numbers

A.1 Prime or composite

A.2 Compare and order rational numbers

A.3 Number lines

A.4 Convert between decimals and fractions

A.5 Square roots

A.6 Cube roots

A.7 Estimate cube roots

A.8 Classify numbers
Operations

B.1 Add, subtract, multiply and divide integers

B.2 Evaluate numerical expressions involving integers

B.3 Evaluate variable expressions involving integers

B.4 Add and subtract rational numbers

B.5 Multiply and divide rational numbers

B.6 Evaluate numerical expressions involving rational numbers

B.7 Evaluate variable expressions involving rational numbers
Ratios, rates and proportion

C.1 Identify equivalent ratios

C.2 Write an equivalent ratio

C.3 Unit rates

C.4 Unit prices

C.5 Solve proportions

C.6 Solve proportions: word problems

C.7 Scale drawings: word problems
Percents

D.1 Convert between percents, fractions and decimals

D.2 Solve percent equations

D.3 Percent word problems

D.4 Percent of change

D.5 Percent of change: word problems

D.6 Percent of a number: VAT, discount and more

D.7 Find the percent: discount and mark-up

D.8 Multi-step problems with percents
Measurement

E.1 Estimate metric measurements

E.2 Convert rates and measurements: metric units

E.3 Metric mixed units

E.4 Convert rates and measurements: imperial units

E.5 Imperial mixed units

E.6 Convert between metric and imperial units

E.7 Precision

E.8 Greatest possible error

E.9 Minimum and maximum area and volume

E.10 Percent error

E.11 Percent error: area and volume
Geometry

F.1 Perimeter

F.2 Area

F.3 Symmetry

F.4 Count lines of symmetry

F.5 Draw lines of symmetry

F.6 Identify and classify polygons

F.7 Interior angles of polygons

F.8 Volume

F.9 Surface area

F.10 Congruent figures: side lengths and angle measures

F.11 Similar figures: side lengths and angle measures

F.12 Similar triangles and indirect measurement

F.13 Area and perimeter of similar figures

F.14 Area between two shapes

F.15 Similar solids

F.16 Volume and surface area of similar solids

F.17 Perimeter, area and volume: changes in scale

F.18 Identify reflections, rotations and translations

F.19 Reflections, rotations and translations: find the coordinates

F.20 Reflections, rotations and translations: graph the image

F.21 Dilations and scale factors

F.22 Pythagoras’ theorem

F.23 Pythagoras’ theorem: word problems

F.24 Converse of Pythagoras’ theorem: is it a right triangle?
Coordinate plane

G.1 Coordinate plane review

G.2 Quadrants and axes

G.3 Distance between two points
Properties

H.1 Properties of addition and multiplication

H.2 Distributive property

H.3 Simplify variable expressions using properties

H.4 Properties of equality
Logic

I.1 Identify hypotheses and conclusions

I.2 Counterexamples
Variable expressions and equations

J.1 Write variable expressions

J.2 Simplify variable expressions involving like terms and the distributive property

J.3 Identify equivalent linear expressions

J.4 Write variable equations

J.5 Does x satisfy the equation?

J.6 Solve equations using order of operations

J.7 Rearrange multi-variable equations
Solve equations

K.1 Model and solve equations using algebra tiles

K.2 Write and solve equations that represent diagrams

K.3 Solve one-step linear equations

K.4 Solve two-step linear equations

K.5 Solve advanced linear equations

K.6 Solve equations with variables on both sides

K.7 Solve equations: complete the solution

K.8 Find the number of solutions

K.9 Create equations with no solutions or infinitely many solutions

K.10 Solve linear equations: word problems

K.11 Solve linear equations: mixed review
Single-variable inequalities

L.1 Graph 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 and line graphs

M.2 Create bar graphs and line graphs

M.3 Interpret pie charts

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 Domain and range of relations

N.3 Identify independent and dependent variables

N.4 Identify functions

N.5 Identify functions: vertical line test

N.6 Identify types of functions from graphs

N.7 Find values using function graphs

N.8 Evaluate a function

N.9 Evaluate a function: plug in an expression

N.10 Complete a function table from a graph

N.11 Complete a function table from an equation

N.12 Interpret the graph of a function: word problems
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 gradient of a graph

P.3 Find the gradient from two points

P.4 Find a missing coordinate using gradient

P.5 Find the gradient and y-intercept of a linear equation

P.6 Graph an equation in y=mx+c form

P.7 Write an equation in y=mx+c form from a graph

P.8 Write an equation in y=mx+c form

P.9 Write an equation in y=mx+c form from a table

P.10 Write an equation in y=mx+c form from a word problem

P.11 Linear equations: solve for y

P.12 Write linear functions to solve word problems

P.13 Complete a table and graph a linear function

P.14 Compare linear functions: graphs, tables and equations

P.15 Write equations in standard form

P.16 Standard form: find x- and y-intercepts

P.17 Standard form: graph an equation

P.18 Equations of horizontal and vertical lines

P.19 Graph a horizontal or vertical line

P.20 Point-gradient form: graph an equation

P.21 Point-gradient form: write an equation

P.22 Point-gradient form: write an equation from a graph

P.23 Gradients of parallel and perpendicular lines

P.24 Write an equation for a parallel or perpendicular line

P.25 Transformations of linear functions
Linear inequalities

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

Q.2 Linear inequalities: solve for y

Q.3 Graph a linear inequality in the coordinate plane

Q.4 Linear inequalities: word problems

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

Q.6 Solve simultaneous linear inequalities by graphing
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 Evaluate expressions using properties of exponents

S.9 Identify equivalent 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
Standard form

U.1 Convert between ordinary numbers and standard form

U.2 Compare numbers written in standard form

U.3 Multiply numbers written in standard form

U.4 Divide numbers written in standard form
Exponential functions

V.1 Evaluate an exponential function

V.2 Match exponential functions and graphs

V.3 Domain and range of exponential functions

V.4 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 HCF of monomials

Y.2 Factorise out a monomial

Y.3 Factorise quadratics using algebra tiles

Y.4 Factorise quadratics with leading coefficient 1

Y.5 Factorise quadratics with other leading coefficients

Y.6 Factorise quadratics: special cases

Y.7 Factorise by grouping

Y.8 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 a quadratic 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 with variables

AA.3 Simplify radical expressions involving fractions

AA.4 Multiply radical expressions

AA.5 Add and subtract radical expressions

AA.6 Simplify radical expressions using the distributive property

AA.7 Divide radical expressions

AA.8 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 Identify biased samples

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

Year 10

Year 10

Numbers

Operations

Ratios, rates and proportion

Percents

Measurement

Geometry

Coordinate plane

Properties

Logic

Variable expressions and equations

Solve equations

Single-variable inequalities

Data and graphs

Relations and functions

Direct and inverse variation

Linear functions

Linear inequalities

Simultaneous equations

Exponents

Number sequences

Standard form

Exponential functions

Monomials

Polynomials

Factorising

Quadratic equations

Radical expressions

Rational functions and expressions

Problem solving

Probability

Statistics

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