# First year

Here is a list of all of the skills students learn in first year! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. 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

## Decimal numbers

## Operations with decimals

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

## Integers

## Operations with integers

- E.1Integer addition and subtraction rules
- E.2Add and subtract integers using counters
- E.3Add and subtract integers
- E.4Complete addition and subtraction sentences with integers
- E.5Add and subtract integers: word problems
- E.6Integer multiplication and division rules
- E.7Multiply and divide integers
- E.8Complete multiplication and division sentences with integers
- E.9Simplify expressions involving integers

## Fractions and mixed numbers

## Operations with fractions

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

## Rational numbers

## Ratios and proportions

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

## Percents

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

## Consumer maths

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

## Problem solving and estimation

## Data and graphs

- N.1Interpret tables
- N.2Interpret line plots
- N.3Create line plots
- N.4Create and interpret line plots with fractions
- N.5Interpret stem-and-leaf plots
- N.6Interpret bar graphs
- N.7Create bar graphs
- N.8Interpret histograms
- N.9Create histograms
- N.10Create frequency charts
- N.11Interpret circle graphs
- N.12Circle graphs and central angles
- N.13Interpret line graphs
- N.14Create line graphs
- N.15Interpret box-and-whisker plots
- N.16Scatter plots
- N.17Choose the best type of graph

## Geometry

- O.1Lines, line segments and half lines
- O.2Parallel, perpendicular, intersecting
- O.3Name, measure and classify angles
- O.4Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.5Find measures of complementary, supplementary, vertical and adjacent angles
- O.6Transversal of parallel lines
- O.7Classify triangles
- O.8Classify quadrilaterals
- O.9Find missing angles in triangles and quadrilaterals
- O.10Identify and classify polygons
- O.11Interior angles of polygons
- O.12Similar and congruent figures
- O.13Similar figures: side lengths and angle measures
- O.14Similar figures and indirect measurement
- O.15Congruent figures: side lengths and angle measures
- O.16Congruence statements and corresponding parts
- O.17Perimeter
- O.18Area of rectangles and parallelograms
- O.19Area of triangles and trapeziums
- O.20Area and perimeter: word problems
- O.21Parts of a circle
- O.22Circles: calculate area, circumference, radius and diameter
- O.23Circles: word problems
- O.24Find lengths and measures of bisected lines and angles
- O.25Front, side and top view
- O.26Names and bases of 3-dimensional figures
- O.27Nets of 3-dimensional figures
- O.28Surface area
- O.29Volume
- O.30Perimeter, area and volume: changes in scale
- O.31Semicircles: calculate area, perimeter, radius and diameter
- O.32Quarter circles: calculate area, perimeter and radius
- O.33Area of compound figures with triangles, semicircles and quarter circles
- O.34Area between two shapes

## Transformations

## Constructions

## Pythagorean theorem

## Coordinate graphs

## Measurement

## Number sequences

## Variable expressions

## Single-variable equations

## Inequalities

## Linear functions

- Y.1Identify proportional relationships
- Y.2Find the constant of variation
- Y.3Does (x, y) satisfy the equation?
- Y.4Evaluate a function
- Y.5Complete a function table
- Y.6Write a rule for a function table
- Y.7Find points on a function graph
- Y.8Graph a line from a function table
- Y.9Graph a line from an equation
- Y.10Linear function word problems
- Y.11Find the slope of a graph
- Y.12Find slope from two points
- Y.13Find a missing coordinate using slope
- Y.14Find slope from an equation
- Y.15Graph a line using slope
- Y.16Identify linear and nonlinear functions