Year 5
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes making connections between representations of numbers, using fractions to represent probabilities, comparing and ordering fractions and decimals and representing them in various ways, describing transformations and identifying line and rotational symmetry
- fluency includes choosing appropriate units of measurement for calculation of perimeter and area, using estimation to check the reasonableness of answers to calculations and using instruments to measure angles
- problem-solving includes formulating and solving authentic problems using whole numbers and measurements and creating financial plans
- reasoning includes investigating strategies to perform calculations efficiently, continuing patterns involving fractions and decimals, interpreting results of chance experiments, posing appropriate questions for data investigations and interpreting data sets.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 5, students solve simple problems involving the four operations using a range of strategies. They check the reasonableness of answers using estimation and rounding. Students identify and describe factors and multiples. They identify and explain strategies for finding unknown quantities in number sentences involving the four operations. They explain plans for simple budgets. Students connect three-dimensional objects with their two-dimensional representations. They describe transformations of two-dimensional shapes and identify line and rotational symmetry. Students interpret different data sets.
Students order decimals and unit fractions and locate them on number lines. They add and subtract fractions with the same denominator. Students continue patterns by adding and subtracting fractions and decimals. They use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and area of rectangles. They convert between 12- and 24-hour time. Students use a grid reference system to locate landmarks. They measure and construct different angles. Students list outcomes of chance experiments with equally likely outcomes and assign probabilities between 0 and 1. Students pose questions to gather data, and construct data displays appropriate for the data.
(source: www.australiancurriculum.edu.au)
- Plus Plan
Measuring Angles – Year 5 Maths Worksheet
Practise measuring angles using a 180 degree protractor with this set of three worksheets.
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Operations with Fractions Maths Investigation — Renovate with a Rug!
A mathematics investigation about fractions, embedded in a real-world context.
- Plus Plan
Converting Time Worksheet - 12 to 24 Hour Time
Review how to convert 12-hour to 24 hour time with a printable converting time worksheet.
- Free Plan
Representations of Unit Fractions Poster
Display this free poster in your classroom showing representations of common unit fractions.
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Unit Fractions on a Number Line Worksheet
Consolidate students' knowledge of unit fractions using this fractions on a number line worksheet.
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24-Hour Time Memory - Year 5 Maths Game
Practise converting 12-hour and 24-hour times with this fun 24-Hour Time Game.
- Free Plan
Appropriate Units of Measurement – Worksheet
A worksheet that allows students to choose appropriate units of measurement.
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Adding Fractions with Common Denominators Worksheet
A worksheet using fractions with common denominators.
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Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
- Plus Plan
Perimeter Practice Problems With Visuals – Worksheet
Download these perimeter practice problems to use when exploring measurement concepts in your maths lessons.
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Chance Worksheets - Year 5
4 chance worksheets linked to the Australian Curriculum.
- Plus Plan
Unit Fraction Donut Investigation
Explore unit fractions in this fun donut-themed maths investigation for your students.
- Free Plan
24-Hour Time Poster
A poster showing 24-hour time and how it correlates with am/pm.
- Plus Plan
Interpreting Graphs Task Cards
Use this set of task cards students to practise interpreting column graphs, histograms and line plots.
- Free Plan
Perimeter Worksheet
Use these perimeter worksheets in your maths lessons when teaching your students how to apply various formulae to calculate the perimeter of shapes.
- Plus Plan
Battleships Grid Template
A template to help consolidate students' understanding of coordinates.
- Plus Plan
Measuring Angles – Mystery Picture Worksheet
Find the measure of each angle and use the colour guide to reveal a mystery picture with this worksheet designed for year 5 students.
- Plus Plan
Fractions on a Number Line - Exit Tickets
Assess your student's ability to represent fractions greater than zero and less than or equal to one with a set of printable fractions on a number line exit tickets
- Plus Plan
Word Problem Worksheets - Year 5 and Year 6
4 mixed operations word problem worksheets with answers.
- Plus Plan
Place Value Chart with Decimals
Display this place value chart in your classroom to remind your students of place value from millions to millionths.
- Plus Plan
Coordinates Worksheet Pack
An 11-page worksheet pack teaching children about coordinates.
- Plus Plan
Unit Fraction Staircase Worksheet
Learn about different unit fractions with this staircase style worksheet for students.
- Free Plan
Icing Unit Fractions Worksheet
Explore unit fractions with your students using this fun donut-themed unit fraction worksheet.
- Plus Plan
Area Model Multiplication Interactive Activity
Help students understand how to use the area model of multiplication when solving multi-digit multiplication problems with this interactive activity.
- Plus Plan
Desk-Sized Multiplication Charts for Students
Download 4 desk-size multiplication charts so every student can keep their own chart handy!
- Plus Plan
Multi-Digit Multiplication Strategies Poster Pack
Teach your students about different multi-digit multiplication methods with this set of maths posters.
- Plus Plan
Fact Family Safari (Multiplication and Division) Interactive Resource
Go on a colourful safari adventure with your students and help them solve interactive challenges whilst learning about multiplication and division fact families!
- Plus Plan
Number Talks - Perimeter and Area Task Cards
Build number sense skills with this set of 28 task cards.
- Plus Plan
Area and Perimeter Word Problems
Get students to solve area and perimeter word problems with this set of three worksheets.
- Plus Plan
Chance and Probability Upper Years PowerPoint
An engaging 30 slide interactive PowerPoint to use in the classroom when learning about chance and probability in the upper years.
- Plus Plan
Area Model Multiplication Small Group Activity
Review multiplication using the area model with this small group activity.
- Plus Plan
Using Metric Units of Area Worksheets
Use this set of three measurement math worksheets to help your students understand the concept of measuring area in metric units.