Year 7
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 describing patterns in uses of indices with whole numbers, recognising equivalences between fractions, decimals, percentages and ratios, plotting points on the Cartesian plane, identifying angles formed by a transversal crossing a pair of lines, and connecting the laws and properties of numbers to algebraic terms and expressions
- fluency includes calculating accurately with integers, representing fractions and decimals in various ways, investigating best buys, finding measures of central tendency and calculating areas of shapes and volumes of prisms
- problem-solving includes formulating and solving authentic problems using numbers and measurements, working with transformations and identifying symmetry, calculating angles and interpreting sets of data collected through chance experiments
- reasoning includes applying the number laws to calculations, applying known geometric facts to draw conclusions about shapes, applying an understanding of ratio and interpreting data displays.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 7, students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. They solve problems involving percentages and all four operations with fractions and decimals. They compare the cost of items to make financial decisions. Students represent numbers using variables. They connect the laws and properties for numbers to algebra. They interpret simple linear representations and model authentic information. Students describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They solve simple numerical problems involving angles formed by a transversal crossing two lines. Students identify issues involving the collection of continuous data. They describe the relationship between the median and mean in data displays.
Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. Students solve simple linear equations and evaluate algebraic expressions after numerical substitution. They assign ordered pairs to given points on the Cartesian plane. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel line. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes. They calculate mean, mode, median and range for data sets. They construct stem-and-leaf plots and dot-plots.
(source: www.australiancurriculum.edu.au)
- Plus Plan
Equivalent Fractions Chart – Differentiated Worksheets
Use a fraction wall to practise finding equivalent fractions and comparing fractions with this set of differentiated worksheets.
- Plus Plan
Adding and Subtracting Fractions Worksheets
Three worksheets to use when teaching your students how to add and subtract fractions.
- Plus Plan
Fractions Number Line - Halves, Quarters and Eighths
Demonstrate the concept of fractions on a number line with a printable number line display and student reference sheets.
- Plus Plan
Adding Fractions with Common Denominators Worksheet
A worksheet using fractions with common denominators.
- Plus Plan
Equivalent Fractions on a Number Line – Differentiated Worksheets
Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.
- Plus Plan
Multiplication Strategies – Classroom Poster Pack
Use this set of posters when teaching different multiplication strategies.
- Plus Plan
2D Shapes with Information – Poster
A 2D shapes poster with 16 common shapes, as well as information characterising each shape.
- Plus Plan
Roll and Round Dice Game Set of 7 Rounding Games
Help your student refine their rounding skills with this set of 7 printable maths games.
- Plus Plan
Adding and Subtracting Fractions PowerPoint
A 17 slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions.
- Plus Plan
Decimals and Percentages Maths Investigation – Plan a Party!
Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
- Free Plan
Fractions Number Line - Halves, Fifths and Tenths
Demonstrate the concept of fractions on a number line with a printable number line display and student reference sheets.
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Interactive Maths Review – Activities for Years 5, 6 and 7
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
- Plus Plan
The Solar System in Our Space — Mathematics Investigation
A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.
- Free Plan
Multiplying Decimals – Word Problem Task Cards
Solve a variety of word problems by multiplying decimals with this set of 24 task cards.
- Free Plan
Adding, Subtracting, Multiplying and Dividing Fractions Posters
Posters outlining the processes involved when adding, subtracting, multiplying and dividing fractions.
- Plus Plan
Operations with Decimals Teaching Slides
Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.
- Plus Plan
Maths Mazes (Factors)
A set of maths mazes that allow students to demonstrate their knowledge of factors.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable worksheet.
- Plus Plan
Reflection, Translation, Rotation Poster
A visual poster examining the difference between reflection, translation and rotation.
- Plus Plan
Dividing with Decimals – Word Problem Task Cards
Sharpen decimal division skills while solving a variety of word problems with this set of 24 task cards.
- Plus Plan
Dividing Decimals Match-Up Activity
Divide decimals and find the correct quotient with this match-up activity.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Free Plan
Dividing Decimals Bingo
Master the ability to divide with decimals by playing a whole-class bingo game.
- Plus Plan
Multiplying Decimals Bingo
Solve for products of decimals to the hundredths place with a whole-class bingo game.
- Plus Plan
Dividing Decimals Task Cards
Sharpen decimal division skills with this set of 24 task cards.
- Plus Plan
Multiplying Decimals Task Cards
Get your students multiplying decimals by decimals and whole numbers with this set of 24 task cards perfects for maths rotations.
- Plus Plan
Multiplying Decimals Maths Mazes
Complete decimal multiplication problems while finding your way through this set of three math mazes.
- Free Plan
Dividing Decimals Maths Mazes
Review how to divide a decimal by a decimal and a whole number with this set of maths mazes.
- Plus Plan
Dividing Decimals by Whole Numbers Teaching Slides
Teach your students how to divide decimals by whole numbers using visual models and the standard algorithm using this step-by-step teaching presentation.
- Plus Plan
Dividing Decimals by Whole Numbers Worksheet Pack
Download these dividing decimals by whole numbers worksheets to provide your students with practice using visual models and the standard algorithm.
- Plus Plan
Multiplying Decimals by Decimals Worksheet Pack
Download these multiplying decimals by decimals worksheets to provide your students with practice using visual models, area models and the standard algorithm.