Mathematics / Year 4 / Number and Algebra / Fractions and decimals

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)

Elaborations
  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations
General capabilities
  • Numeracy Numeracy
ScOT terms

Denominators,  Number lines,  Mixed numbers,  Arithmetic sequences

Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Teacher resource

Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Interactive resource

Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

Interactive resource

Exploring fractions

Use partially filled measuring cups to explore fractions: improper, mixed and equivalent fractions. For example, select six cups which are one-quarter full to balance one and a half cups. Or achieve an equivalent result by selecting three cups, which are half full.

Interactive resource

Design a park

Help a town planner to design a site plan for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

Interactive resource

Park fractions

Help a town planner to design two site plans for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

Interactive resource

Design your own park

Help a town planner to design a site plan for a park. Set the site dimensions to make a grid. Assign regions on the grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter ...

Interactive resource

Swamp survival: hundredths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths or hundredths. Put the decimals in order ...

Interactive resource

Swamp survival: hundredths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by either tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals ...

Interactive resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive Resource

Whole numbers level 6: numbers to 10 000

This set of online activities focuses on the development and consolidation of number concepts to 10 000 and beyond. This is the sixth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value and number notation and introduces negative numbers. Each level includes interactive ...

Interactive Resource

Addition and subtraction level 5

This set of online activities focuses on the development and consolidation of ideas associated with addition and subtraction of whole numbers from concrete contexts to abstract settings including written algorithms to four digits. This is the fifth of seven levels in a series that progresses to addition and subtraction ...

Interactive resource

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

Tablet friendly (Interactive resource)

Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

Interactive resource

Dynamic fractions

Use a tool to explore how to express fractions and display them in different ways. Create a grid with a number of rectangles ranging from 1 to 100 (up to a 10x10 array). Select boxes within the grid and view or enter corresponding fractions and their equivalents. Interact with a dynamic number line to express fractions ...

Interactive resource

Shape fractions

Use this tool to explore how to express fractions and display them in different ways. Divide simple shapes into equal parts. Select regions, then express the area selected as a fraction (or equivalent). Manually select fractions or choose other options to set variables displayed.

Tablet friendly (Interactive resource)

Wishball challenge: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

Interactive Resource

Whole numbers level 5: four-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to four digits and beyond. This is the fifth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value, rounding and number notation. Each level includes interactive drills ...

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Interactive Resource

Whole numbers level 7: six-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to six digits and beyond. The complete set of activities consists of seven levels in a series focusing on whole numbers to six digits. This is the seventh level and contains ideas about place value, rounding and number notation ...