## Curriculum

**Year Level:**

**Strands:**

### Number and Algebra Content Descriptors:

#### Number and Place Value

Achievement Standards | Games |
---|---|

Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point | 1-100 chart |

Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond | 1-100 chart |

Subitise small collections of objects | Sherrifs and Bandits (coming soon) |

Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero | 1-100 chart |

Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line | 1-100 chart |

Count collections to 100 by partitioning numbers using place value | 1-100 chart, Number path (Addition and Subtraction) |

Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts | Number path (Addition and Subtraction), Longest Line, Flick 4 |

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences | 1-100 chart |

Recognise, model, represent and order numbers to at least 1000 | In the middle (coming soon) |

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting | In the middle (coming soon) |

Explore the connection between addition and subtraction | 1-100 chart, Number path (Addition and Subtraction) |

Solve simple addition and subtraction problems using a range of efficient mental and written strategies | Number path (Addition and Subtraction), Ten Thousandn (on Addition & Subtraction chart), Longest Line, Flick 4 |

Recognise and represent multiplication as repeated addition, groups and arrays | Flick 4, Rektangles |

Investigate the conditions required for a number to be odd or even and identify odd and even numbers | Guess the number, 1-100 chart |

Recognise, model, represent and order numbers to at least Ten Thousand | Piggy in the middle, Gold Diggers, Billionaire or bust, Tag (use smaller boundaries), Ten Thousand |

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems | Gold Diggers, Billionaire or bust, Ten Thousand |

Recognise and explain the connection between addition and subtraction | Number path (Addition and Subtraction) |

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation | Humans vs Aliens, Number path (Addition and Subtraction), Longest Line, Flick 4 |

Recall multiplication facts of two, three, five and ten and related division facts | Humans vs Aliens, Number path (Factors and Multiples), Longest Line, Flick 4, Code Breakers |

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies | Humans vs Aliens, Longest Line, Flick 4 |

Recall multiplication facts up to 10 × 10 and related division facts | Humans vs Aliens, Number Knockout |

Investigate and use the properties of odd and even numbers | Guess the number, Algebra grid |

Recognise, represent and order numbers to at least tens of thousands | Piggy in the middle, Gold Diggers, Billionaire or bust, Tag (use smaller boundaries), Ten Thousand |

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems | Piggy in the middle, Gold Diggers, Billionaire or bust, Tag (use smaller boundaries), Ten Thousand |

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 | Humans vs Aliens, Number path (Factors and Multiples), Longest Line, Flick 4, Code Breakers |

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder | Humans vs Aliens, Number path (Factors and Multiples), Longest Line, Flick 4, Code Breakers |

Identify and describe factors and multiples of whole numbers and use them to solve problems | Number path (Factors and Multiples), Guess the number |

Use estimation and rounding to check the reasonableness of answers to calculations | Guesstimation |

Solve problems involving division by a one digit number | Number path (Factors and Multiples) |

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems | Number Path, Humans vs Aliens, Ten Thousand |

Identify and describe properties of prime, composite, square and triangular numbers | Guess the number |

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers | Number Knockout, Equation smasher, Humans vs Aliens, Ten Thousand |

Investigate index notation | Tag (Scientific notation extension) |

Investigate and use square roots of perfect square numbers | Guess the number (Indices) |

Compare, order, add and subtract integers | Guess the number, Number path (addition and subtraction), Ten Thousand |

Use index notation with numbers | Tag (Scientific notation extension) |

Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies | Equation smasher, Number Knockout |

#### Fractions and Decimals

Achievement Standards | Games |
---|---|

Recognise and describe one-half as one of two equal parts of a whole | Fraction towers, Fraction See-Saw |

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections | Fraction towers, Fraction See-Saw |

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole | The One, Fraction towers |

Investigate equivalent fractions used in contexts | Fraction See-Saw |

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line | Fraction towers |

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation | Tag, Guesstimation |

Compare and order common unit fractions | Fraction See-Saw, Fraction towers, The One |

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator | Fraction See-Saw, Fraction towers |

Recognise that the place value system can be extended beyond hundredths | Tag, Billionaire or bust, Gold Diggers |

Compare, order and represent decimals | The One, Fraction See-Saw, Fraction towers |

Compare fractions with related denominators | The One, Fraction towers, Fraction See-Saw |

Solve problems involving addition and subtraction of fractions with the same or related denominators | The One, Fraction towers |

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies | The One |

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers | Fraction towers |

Multiply and divide decimals by powers of 10 | Tag, Billionaire or bust |

Make connections between equivalent fractions, decimals and percentages | The One, Fraction towers |

#### Real Numbers

Achievement Standards | Games |
---|---|

Compare fractions using equivalence | Fraction See-Saw, Fraction towers, The One, Guess the (Fraction, Decimal, Percentage) |

Solve problems involving addition and subtraction of fractions, including those with unrelated denominators | Fraction towers, The One |

Express one quantity as a fraction of another, with and without the use of digital technologies | The One, Fraction See-Saw |

Round decimals to a specified number of decimal places | Guesstimation |

Connect fractions, decimals and percentages and carry out simple conversions | Fraction towers, The One, Guess the (Fraction, Decimal, Percentage) |

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies | Ca$hed up |

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies | Ca$hed up |

Apply index laws to numerical expressions with integer indices | Billionaire or bust (Scientific notation) |

Express numbers in scientific notation | Billionaire or bust (Scientific notation) |

Define rational and irrational numbers and perform operations with surds and fractional indices | Guess the number |

#### Money and Financial Maths

Achievement Standards | Games |
---|---|

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies | Speedy Shoppers |

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies | Speedy Shoppers, Cashed up |

Investigate and calculate ‘best buys’, with and without digital technologies | Speedy Shoppers |

Solve problems involving simple interest | Ca$hed up |

Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies | Ca$hed up |

#### Patterns and Algebra

Achievement Standards | Games |
---|---|

Sort and classify familiar objects and explain the basis for these classifications | Guess the shape |

Copy, continue and create patterns with objects and drawings | Tesselate it (using Geo-board) |

Recognise and describe one-half as one of two equal parts of a whole | Fraction towers, Fraction See-Saw |

Investigate and describe number patterns formed by skip counting and patterns with objects | 1-100 chart |

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections | Fraction towers, Fraction See-Saw |

Describe patterns with numbers and identify missing elements | 1-100 chart |

Describe, continue, and create number patterns resulting from performing addition or subtraction | Race to 100, 1-100 chart |

Explore and describe number patterns resulting from performing multiplication | Number path (Factors and Multiples) |

Use equivalent number sentences involving addition and subtraction to find unknown quantities | Switch, snitch and steal |

Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction | Fraction towers, 1-100 Chart, Gold Diggers |

Explore the use of brackets and order of operations to write number sentences | Equation Smasher |

Introduce the concept of variables as a way of representing numbers using letters | Find my X, Algebingo |

Create algebraic expressions and evaluate them by substituting a given value for each variable | Find my X (create your own equations) |

Extend and apply laws and properties of arithmetic to algebraic terms and expressions | Algebingo, Inverse Bingo |

Simplify algebraic expressions involving the four operations | Algebingo, Inverse Bingo, Find my X |

Apply the four operations to simple algebraic fractions with numerical denominators | Find my X |

#### Linear and Non-Linear Relationships

Achievement Standards | Games |
---|---|

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point | Cartesian Battleship |

Solve simple linear equations | Cartesian Battleship |

Plot linear relationships on the Cartesian plane with and without the use of digital technologies | Cartesian plane board |

Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution | Cartesian Battleship |

Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software | Cartesian Battleship |

Sketch linear graphs using the coordinates of two points and solve linear equations | Cartesian Battleship |

Solve problems involving linear equations, including those derived from formulas | Cartesian Battleship |

Solve linear equations involving simple algebraic fractions | Cartesian Battleship |

### Measurement and Geometry Content Descriptors:

#### Using Units of Measurement

Achievement Standards | Games |
---|---|

Tell time to the halfhour | Guess the Time |

Tell time to the quarter-hour, using the language of ‘past’ and ‘to’ | Guess the Time |

Tell time to the minute and investigate the relationship between units of time | Guess the time |

Convert between units of time | Guess the time |

Use am and pm notation and solve simple time problems | Guess the time |

Compare objects using familiar metric units of area and volume | Guesstimation |

Choose appropriate units of measurement for length, area, volume, capacity and mass | Guesstimation |

Calculate the perimeter and area of rectangles using familiar metric units | Pictionarea, Rektangles, Robo-draw, Think Square overlay / Geoboard, Guess the Shape |

Compare 12- and 24-hour time systems and convert between them | Guess the time |

Connect decimal representations to the metric system | Guesstimation |

Convert between common metric units of length, mass and capacity | Guesstimation |

Solve problems involving the comparison of lengths and areas using appropriate units | Pictionarea, Rektangles, Robo-draw, Think Square overlay / Geoboard |

Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving | Pictionarea, Rektangles, Robo-draw |

Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites | Pictionarea, Robo-draw |

Calculate the areas of composite shapes | Pictionarea, Robo-draw |

Investigate very small and very large time scales and intervals | Guesstimation |

#### Shape

Achievement Standards | Games |
---|---|

Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features | Guess the Shape |

Describe and draw two-dimensional shapes, with and without digital technologies | Geoboard, Rektangles |

Describe the features of threedimensional objects | Guess the Shape |

Compare the areas of regular and irregular shapes by informal means | Pictionarea, Robo-draw |

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies | Pictionarea, Robo-draw, Think Square overlay / Geo-board |

#### Location and Transformation

Achievement Standards | Games |
---|---|

Give and follow directions to familiar location | Space Commander, Treasure Hunt (coming soon) |

Investigate the effect of one-step slides and flips with and without digital technologies | Pentris“> Pentris |

Identify and describe half and quarter turns | Space Commander, Pentris“> Pentris |

Create and interpret simple grid maps to show position and pathways | Space Commander, Treasure Hunt (colder/warmer) |

Use simple scales, legends and directions to interpret information contained in basic maps | Treasure Hunt (colder/warmer) |

Create symmetrical patterns, pictures and shapes with and without digital technologies | Spell it, Pentris, Robo-draw (coming soon), Think Square overlay |

Use a grid reference system to describe locations. Describe routes using landmarks and directional language | Space Commander, Cartesian Battleship |

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries | Pentris, Spell it, Bridge to 200, Space Commander, Robo-draw (coming soon) |

Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original | Robo-draw (advanced) |

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies | Pentris, Spell it, Bridge to 200, Space Commander |

Introduce the Cartesian coordinate system using all four quadrants | Cartesian Plane board |

Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries | Space Commander, Cartesian plane board |

#### Geometric Reasoning

Achievement Standards | Games |
---|---|

Compare angles and classify them as equal to, greater than or less than a right angle | Guess the angle |

Compare angles | Guess the angle |

Classify triangles according to their side and angle properties and describe quadrilaterals | Guess the shape |

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral | Think Square overlay / Geo-board |

Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning | Think Square overlay / Geo-board |

Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar | Think Square overlay / Geo-board |

Solve problems using ratio and scale factors in similar figures | Think Square overlay / Geo-board |

#### Pythagoras and Trigonometry

Achievement Standards | Games |
---|---|

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles | Cartesian Battleship |

Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles | Cartesian Battleship (Trigonometry extension – find the launch angle) |

Apply trigonometry to solve right-angled triangle problems | Cartesian Battleship (Trigonometry extension – find the launch angle) |

Solve right-angled triangle problems | Caretesian Battleship, Think Square overlay / Geoboard |

### Statistics and Probability Content Descriptors:

#### Chance

Achievement Standards | Games |
---|---|

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results | Animolympics |

Describe probabilities using fractions, decimals and percentages | Animolympics, Highs and Lows, Ca$hed up, Algebingo, Inverse Bingo, |

Compare observed frequencies across experiments with expected frequencies | Animolympics |

Assign probabilities to the outcomes of events and determine probabilities for events | Animolympics |

Describe events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’ | Animolympics, Highs and Lows, Ca$hed up |

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events | Animolympics, Ca$hed up, Highs and Lows |

Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’ | Animolympics, Ca$hed up, Highs and Lows |

Describe the results of two and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence | Animolympics |

Use the language of ‘if…then’, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language | Animolympics, Ca$hed up, Highs and Lows, Guess the number, Bridge to 200, Speedy Shoppers, Flick 4 |

#### Data Representation and Interpretation

Achievement Standards | Games |
---|---|

Choose simple questions and gather responses | Reverse Survey (coming soon) |

Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays | Reverse Survey (coming soon) |

Identify a question of interest based on one categorical variable. Gather data relevant to the question | Reverse Survey (coming soon) |

Collect, check and classify data | Reverse Survey (coming soon) |

Create displays of data using lists, table and picture graphs and interpret them | Reverse Survey (coming soon) |

Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies | Animolympics |

Construct suitable data displays, with and without digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values | Animolympics |

Pose questions and collect categorical or numerical data by observation or survey | Animolympics |

Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies | Animolympics |

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables | Animolympics |

Identify and investigate issues involving numerical data collected from primary and secondary sources | Animolympics |

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data | Fact Finder, Flick a Fact |

Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes | Animolympics |

Investigate the effect of individual data values, including outliers, on the mean and median | Flick a Fact |