Number and Algebra | eTAP Lesson |
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Number and place value | |
Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving
ACMNA149 |
Triangle Areas |
Investigate and use square roots of perfect square numbers
ACMNA150 |
Roots and Radicals |
Apply the associative, commutative and distributive laws to aid mental and written computation
ACMNA151 |
Commutative and Associative Property |
Compare, order, add and subtract integers
ACMNA280 |
Combining Terms Simplified |
Real numbers | |
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line
ACMNA152 |
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Solve problems involving addition and subtraction of fractions, including those with unrelated denominators
ACMNA153 |
Addition of Fractions Subtraction of Fractions |
Multiply and divide fractions and decimals using efficient written strategies and digital technologies
ACMNA154 |
Multiplication of Fractions Division of Fractions |
Express one quantity as a fraction of another, with and without the use of digital technologies
ACMNA155 |
|
Round decimals to a specified number of decimal places
ACMNA156 |
Round Decimals |
Connect fractions, decimals and percentages and carry out simple conversions
ACMNA157 |
Percent, Decimals & Fractions |
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.
ACMNA158 |
|
Recognise and solve problems involving simple ratio
ACMNA173 |
Ratio Concept & Language |
Money and financial mathematics | |
Investigate and calculate 'best buys', with and without digital technologies
ACMNA174 |
Different Payment Methods |
Patterns and algebra | |
Introduce the concept of variables as a way of representing numbers using letters
ACMNA175 |
Numerical and Literal Numbers |
Create algebraic expressions and evaluate them by substituting a given value for each
ACMNA176 |
Expressing More Relationships Between Numbers |
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
ACMNA177 |
|
Linear and non-linear relationships | |
Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
ACMNA178 |
Coordinate Axes and Negative Numbers |
Solve simple linear equations
ACMNA179 |
Solve Single Variable Equations |
Investigate, interpret and analyse graphs from authentic data
ACMNA180 |
Visually Representing Numerical Data |
Measurement and Geometry | eTAP Lesson |
Using units of measurement | |
Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving
ACMMG159 |
Areas of Rectangles and Parallelograms Triangle Areas |
Calculate volumes of rectangular prisms
ACMMG160 |
Rectangular Prism Volume |
Shape | |
Draw different views of prisms and solids formed from combinations of prisms
ACMMG161 |
Rectangular Prism Volume |
Location and transformation | |
Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries
ACMMG181 |
Tessellations Using Translations, Rotations, and Glide Reflections |
Geometric reasoning | |
Classify triangles according to their side and angle properties and describe quadrilaterals
ACMMG165 |
Recognizing Figures |
Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral
ACMMG166 |
Lines and Angles |
Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal
ACMMG163 |
|
Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning
ACMMG164 |
Parallelism |
Statistics and Probability | eTAP Lesson |
Chance | |
Construct sample spaces for single-step experiments with equally likely outcomes
ACMSP167 |
Variability |
Assign probabilities to the outcomes of events and determine probabilities for events
ACMSP168 |
Distribution |
Data representation and interpretation | |
Identify and investigate issues involving numerical data collected from primary and secondary sources
ACMSP169 |
|
Construct and compare a range of data displays including stem-and-leaf plots and dot plots
ACMSP170 |
Probability Data Plots |
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data
ACMSP171 |
Distribution Centers and Variation |
Describe and interpret data displays using median, mean and range
ACMSP172 |
Data Calculations |