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:
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.
A differentiated whole class Easter egg hunt.
A set of adorable Easter Bunny 3D object nets.
A set of differentiated area and perimeter worksheets.
A 24-slide editable PowerPoint template to use when introducing the concept of area.
Printable nets of 3D objects.
4 area worksheets.
Use a range of strategies to solve 2-digit by 1-digit multiplication and division problems that exceed the facts of the 12 times tables.
Get the mental strategies flowing with this ten-page mental maths booklet covering the four operations.
An interactive PowerPoint presentation that teaches the features of 2D shapes.
A set of 20 problem solving questions suited to year 5 students.
A chart that plots the times tables 1–12 formatted as a grid.
6 posters showing the features and examples of picture graphs, pie charts, line graphs, bar graphs, column graphs and histograms.
Encourage mathematical collaboration and discussion with a group of thirteen fractions games and partner tasks.
4 mixed operations word problem worksheets with answers.
A worksheet that allows students to choose appropriate units of measurement.
Worksheets to help consolidate your students' understanding of perimeter.
An exciting escape room game where students use their maths skills to escape Millbrook Manor.
A mathematics investigation involving chance and data, embedded in a real-world context.
Twenty division and multiplication word problem cards for upper primary.
A collection of 13 area and perimeter word problems with answers.
A 22 slide editable PowerPoint template to use when identifying angles.
An interactive PowerPoint presentation that teaches the features of 3D Objects.
A worksheet using fractions with common denominators.
Practise using number lines to compare and order decimals with this worksheet.
Explore the properties of geometric shapes with this set of scaffolded tangram shapes task cards and cut-out tangram templates.
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
Find your way through this set of maths mazes by determining the addition or subtraction pattern in a sequence of decimal numbers.
Use these posters to assist your students to learn and convert the different units of measurement.
20 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
A worksheet to use when exploring grids, grid references and direction.
A one-page worksheet with answers to consolidate students' understanding of time conversions.
A worksheet for students to practise multiplying 2-digit numbers by 1-digit.