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
Rounding Decimals With Visual Models – Task Cards
Use these task cards to round decimals to the nearest tenth or hundredth and match each value with a corresponding decimal model.
- Plus Plan
Interior Angles of Shapes Sorting Activity
Play this sorting game when learning about the interior angles of common two-dimensional shapes.
- Plus Plan
Writing Equations – Interactive Mystery Picture Reveal
Practise representing written statements as a single-variable equation with this self-checking interactive activity.
- Plus Plan
Writing Equations – I Have, Who Has? Game
Practise identifying word sentences for different equations with an exciting I Have, Who Has game.
- Plus Plan
2D Shape Poster Set
Use this set of 16 brightly coloured 2D shapes with your geometry lessons.
- Plus Plan
Equations, Tables, and Graphs, Oh My! – Differentiated Worksheets
Use these differentiated worksheets to practise using equations to create patterns within input-output tables and graphs.
- Plus Plan
Writing Equations – Match Up Activity
Practise matching word sentences to equations with variables with this 36-card match-up activity.
- Plus Plan
Evaluating Expressions – Task Cards
Use this set of 24 task cards to practise evaluating expressions with a single variable.
- Plus Plan
Writing Equations – Task Cards
Practise writing an equation to represent a situation with this set of 24 task cards.
- Plus Plan
Comparing Fractions Mini-Book
Use this mini-book to help your students learn how to compare fractions with visual models, number lines and mathematical reasoning.
- Plus Plan
Percent Bingo Game
Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.
- Plus Plan
Unit Fraction & Whole Number Division Models – Match-Up Activity
Practise how to divide a unit fraction by a whole number and divide a whole number by a unit fraction with this match-up activity.
- Plus Plan
Volume of Irregular Prisms – Worksheet
Calculate the volume of irregular prisms and solve real-world problems with this worksheet.
- Free Plan
Rounding Decimals Worksheet
Encourage your students to round decimals to the nearest tenths and hundredths place with this worksheet.
- Plus Plan
Number Talks - Dividing with Unit Fractions Task Cards
Build fractional reasoning with this set of 24 task cards.
- Plus Plan
Number Talks - Ratio and Rate Task Cards
Build number sense skills with this set of 32 task cards.
- Plus Plan
Number Talks - Integer Operations Task Cards
Build number sense skills with this set of 24 task cards.
- Plus Plan
Positive and Negative Integers Poster
A poster showing when to add and subtract positive and negative integers.
- Plus Plan
Fractions Resource Pack
A collection of resources exploring fractions.