# First year maths

Here is a list of all of the maths skills students learn in first year! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## 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 Complete addition and subtraction sentences with integers
- C.5 Add and subtract integers: word problems
- C.6 Integer multiplication and division rules
- C.7 Multiply and divide integers
- C.8 Complete multiplication and division sentences with integers
- C.9 Evaluate numerical expressions involving integers

## Decimals

## Operations with decimals

- E.1 Add and subtract decimals
- E.2 Add and subtract decimals: word problems
- E.3 Multiply decimals
- E.4 Multiply decimals and whole numbers: word problems
- E.5 Divide decimals
- E.6 Divide decimals by whole numbers: word problems
- E.7 Estimate sums, differences and products of decimals
- E.8 Add, subtract, multiply and divide decimals: word problems
- E.9 Multi-step inequalities with decimals
- E.10 Maps with decimal distances
- E.11 Evaluate numerical expressions involving decimals

## Fractions and mixed numbers

- F.1 Understanding fractions: word problems
- F.2 Equivalent fractions
- F.3 Write fractions in lowest terms
- F.4 Fractions: word problems with graphs and tables
- F.5 Lowest common denominator
- F.6 Compare and order fractions
- F.7 Compare fractions: word problems
- F.8 Convert between mixed numbers and improper fractions
- F.9 Compare mixed numbers and improper fractions
- F.10 Round mixed numbers

## Operations with fractions

- G.1 Add and subtract fractions
- G.2 Add and subtract fractions: word problems
- G.3 Add and subtract mixed numbers
- G.4 Add and subtract mixed numbers: word problems
- G.5 Inequalities with addition and subtraction of fractions and mixed numbers
- G.6 Estimate sums and differences of mixed numbers
- G.7 Multiply fractions and whole numbers
- G.8 Multiply two fractions using models
- G.9 Multiply fractions
- G.10 Multiply mixed numbers
- G.11 Multiply fractions and mixed numbers: word problems
- G.12 Divide whole numbers and unit fractions
- G.13 Divide fractions
- G.14 Divide mixed numbers
- G.15 Divide fractions and mixed numbers: word problems
- G.16 Estimate products and quotients of fractions and mixed numbers
- G.17 Add, subtract, multiply and divide fractions and mixed numbers: word problems
- G.18 Evaluate numerical expressions involving fractions

## Rational numbers

- H.1 Identify rational numbers
- H.2 Convert between decimals and fractions or mixed numbers
- H.3 Absolute value of rational numbers
- H.4 Compare rational numbers
- H.5 Put rational numbers in order
- H.6 Add and subtract rational numbers
- H.7 Apply addition and subtraction rules
- H.8 Multiply and divide rational numbers
- H.9 Apply multiplication and division rules

## Exponents and square roots

## Ratios, rates and proportions

- J.1 Understanding ratios
- J.2 Identify equivalent ratios
- J.3 Write an equivalent ratio
- J.4 Equivalent ratios: word problems
- J.5 Unit rates
- J.6 Compare ratios: word problems
- J.7 Scale drawings: word problems
- J.8 Do the ratios form a proportion?
- J.9 Do the ratios form a proportion: word problems
- J.10 Solve proportions
- J.11 Solve proportions: word problems
- J.12 Estimate population size using proportions
- J.13 Rate of change
- J.14 Constant rate of change

## Proportional relationships

- K.1 Find the constant of proportionality from a table
- K.2 Write equations for proportional relationships from tables
- K.3 Identify proportional relationships by graphing
- K.4 Find the constant of proportionality from a graph
- K.5 Write equations for proportional relationships from graphs
- K.6 Identify proportional relationships
- K.7 Interpret graphs of proportional relationships
- K.8 Write and solve equations for proportional relationships

## Percents

- L.1 What percentage is illustrated?
- L.2 Convert between percents, fractions and decimals
- L.3 Compare percents to fractions and decimals
- L.4 Estimate percents of numbers
- L.5 Percents of numbers and money amounts
- L.6 Percents of numbers: word problems
- L.7 Solve percent equations
- L.8 Solve percent equations: word problems

## Consumer maths

- M.1 Add, subtract, multiply and divide money amounts: word problems
- M.2 Price lists
- M.3 Unit prices
- M.4 Unit prices: find the total price
- M.5 Percent of a number: VAT, discount and more
- M.6 Find the percent: discount and mark-up
- M.7 Sale prices: find the original price
- M.8 Multi-step problems with percents
- M.9 Estimate tips
- M.10 Simple interest
- M.11 Compound interest

## Problem solving and estimation

## Units of measurement

## Coordinate plane

## Number sequences

## Expressions and properties

- R.1 Write variable expressions
- R.2 Write variable expressions: word problems
- R.3 Evaluate linear expressions
- R.4 Evaluate multi-variable expressions
- R.5 Evaluate absolute value expressions
- R.6 Evaluate nonlinear expressions
- R.7 Identify terms and coefficients
- R.8 Sort factors of expressions
- R.9 Properties of addition and multiplication
- R.10 Multiply using the distributive property
- R.11 Solve equations using properties
- R.12 Write equivalent expressions using properties
- R.13 Add and subtract like terms
- R.14 Add, subtract and multiply linear expressions
- R.15 Factors of linear expressions
- R.16 Identify equivalent linear expressions

## One-variable equations

- S.1 Which x satisfies an equation?
- S.2 Write an equation from words
- S.3 Model and solve equations using algebra tiles
- S.4 Write and solve equations that represent diagrams
- S.5 Solve one-step equations
- S.6 Solve two-step equations
- S.7 Solve equations: word problems
- S.8 Solve equations involving like terms
- S.9 Solve equations: complete the solution

## One-variable inequalities

## Two-variable equations

- U.1 Does (x, y) satisfy the equation?
- U.2 Identify independent and dependent variables
- U.3 Find a value using two-variable equations
- U.4 Solve word problems involving two-variable equations
- U.5 Complete a table for a two-variable relationship
- U.6 Write a two-variable equation
- U.7 Identify the graph of an equation
- U.8 Graph a two-variable equation
- U.9 Interpret a graph: word problems
- U.10 Write an equation from a graph using a table

## Linear functions

## Two-dimensional figures

- W.1 Identify and classify polygons
- W.2 Name, measure and classify angles
- W.3 Classify triangles
- W.4 Identify trapeziums
- W.5 Classify quadrilaterals
- W.6 Graph triangles and quadrilaterals
- W.7 Find missing angles in triangles and quadrilaterals
- W.8 Interior angles of polygons
- W.9 Lines, line segments and half lines
- W.10 Parallel, perpendicular and intersecting lines
- W.11 Identify complementary, supplementary, vertical, adjacent and congruent angles
- W.12 Find measures of complementary, supplementary, vertical and adjacent angles
- W.13 Transversal of parallel lines
- W.14 Find lengths and measures of bisected line segments and angles
- W.15 Parts of a circle

## Transformations and congruence

- X.1 Symmetry
- X.2 Identify reflections, rotations and translations
- X.3 Translations: graph the image
- X.4 Translations: find the coordinates
- X.5 Reflections: graph the image
- X.6 Reflections: find the coordinates
- X.7 Rotations: graph the image
- X.8 Rotations: find the coordinates
- X.9 Similar and congruent figures
- X.10 Side lengths and angle measures of congruent figures
- X.11 Congruence statements and corresponding parts
- X.12 Side lengths and angle measures of similar figures
- X.13 Similar figures and indirect measurement

## Constructions

## Pythagoras' theorem

## Three-dimensional figures

## Geometric measurement

- BB.1 Perimeter
- BB.2 Area of rectangles and parallelograms
- BB.3 Area of triangles and trapeziums
- BB.4 Area and perimeter: word problems
- BB.5 Circles: calculate area, circumference, radius and diameter
- BB.6 Circles: word problems
- BB.7 Semicircles: calculate area, perimeter, radius and diameter
- BB.8 Quarter circles: calculate area, perimeter and radius
- BB.9 Area of compound figures with triangles, semicircles and quarter circles
- BB.10 Area between two shapes
- BB.11 Volume
- BB.12 Surface area
- BB.13 Perimeter, area and volume: changes in scale

## Data and graphs

- CC.1 Interpret tables
- CC.2 Interpret line plots
- CC.3 Create line plots
- CC.4 Interpret stem-and-leaf plots
- CC.5 Interpret bar graphs
- CC.6 Create bar graphs
- CC.7 Interpret histograms
- CC.8 Create histograms
- CC.9 Create frequency charts
- CC.10 Interpret pie charts
- CC.11 Pie charts and central angles
- CC.12 Interpret line graphs
- CC.13 Create line graphs
- CC.14 Interpret box-and-whisker plots
- CC.15 Scatter plots
- CC.16 Choose the best type of graph