Recognise and represent multiplication as repeated addition, groups and arrays (ACMNA031)

 

• model multiplication as repeated addition, eg 3 groups of 4 is the same as 4 + 4 + 4

    * find the total number of objects by placing them into equal-sized groups and using repeated addition (Problem Solving)

    * use empty number lines and number charts to record repeated addition, eg

 

 

 

      (Communicating)

    * explore the use of repeated addition to count in practical situations, eg counting stock on a farm (Problem Solving)

 

Sharing Out Frogs

 

Counter Sorting

 

Interactive Number Line

(demonstrate strategies)

 

Multiplication Number Line (choose

numbers to multiply then shows no. line)

 

Calculation on a Number Line

(can select tables)

 

Carl’s Cookies

(Level 1 after intro)

 

Multiplication Picnic

 

Pop Up Multiplication

 

Grouping and Grazing (5s 10s)

 

Knight and Princess Game

 

3x Table Jigsaw

 

Repeated Addition Bingo

 

Multiplication as Repeated Addition

(advanced)

 

Array Maker

 

Sample Arrays – Multiplication Fact

 

Space Arrays

 

• recognise when items have been arranged into groups, eg 'I can see two groups of three pencils'

 

Counter Sorting

 

Sharing

 

Carl’s Cookies

(Level 1 after intro)

 

Multiplication Picnic

 

Grouping and Grazing (5s 10s)

 

• use concrete materials to model multiplication as equal 'groups' and by forming an array of equal 'rows' or equal 'columns', eg

 

 

 

    * describe collections of objects as 'groups of', 'rows of' and 'columns of' (Communicating)

    * determine and distinguish between the 'number of rows/columns' and the 'number in each row/column' when describing collections of objects (Communicating)

    * recognise practical examples of arrays, such as seedling trays or vegetable gardens (Reasoning)

 

Counter Sorting

 

Sharing

 

Carl’s Cookies

(Level 1 after intro)

 

Multiplication Picnic

 

Grouping and Grazing (5s 10s)

 

Grouping

 

Topmarks Multiplication

 

Array Maker

 

Array Bingo

 

Multiplication with Arrays

 

Sample Arrays – Multiplication Fact

 

• model the commutative property of multiplication, eg '3 groups of 2 is the same as 2 groups of 3'

 

Array Bingo

 

Multiplication with Arrays

 

Space Arrays

 

Represent division as grouping into equal sets and solve simple problems using these representations (ACMNA032)

 

• model division by sharing a collection of objects equally into a given number of groups, and by sharing equally into a given number of rows or columns in an array, eg determine thenumber each person receives when 10 objects are shared between two people

 

    * describe the part left over when a collection cannot be shared equally into a given number of groups/rows/columns (Communicating, Problem Solving, Reasoning)

• model division by sharing a collection of objects into groups of a given size, and by arranging it into rows or columns of a given size in an array, eg determine the number of columns in an array when 20 objects are arranged into rows of four

    * describe the part left over when a collection cannot be distributed equally using the given group/row/column size, eg when 14 objects are arranged into rows of five, there are two rows of five and four objects left over (Communicating, Problem Solving, Reasoning)

 

Sharing

 

Sharing Out Frogs

 

Grouping and Grazing (5s 10s)

 

Demonstrate Sharing with Remainders

 

Sharing (with Remainders)

 

Array Maker

 

Airline Grouping

 

• model division as repeated subtraction

    * use an empty number line to record repeated subtraction (Communicating)

    * explore the use of repeated subtraction to share in practical situations, eg share 20 stickers between five people (Problem Solving)

 

Interactive Number Line (demonstrate strategies)

 

Airline Grouping

 

Array Maker

 

• solve multiplication and division problems using objects, diagrams, imagery and actions

    * support answers by demonstrating how an answer was obtained (Communicating)

    * recognise which strategy worked and which did not work and explain why

(Communicating, Reasoning)

• record answers to multiplication and division problems using drawings, words and numerals, eg 'two rows of five make ten', '2 rows of 5 is 10'

 

NRich Multiplication and Division Problems

(not interactive, but great range of problems)