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Investigate index notation and represent whole numbers as products of powers of prime numbers.

*Define and compare prime and composite numbers. Express whole numbers as products of powers of prime factors such as creating factor trees. Solve problems involving lowest common multiples and highest common factors ( ACMNA149 ) TIMESNA13 TIMESNA16 TIMESNA19*

Investigate and use square roots of perfect square numbers such as 25 and 36 and develop square root notation. Investigate between which two whole numbers a square root lies (eg: a √10 lies between 3 and 4) * (* ACMNA150

Apply the associative law:

(2 + 3) + 5 = 2 = (3 + 5) and (2 x 3) x 5 = 2X (3 x 5), commutative law:

2 x 3 = 3 x 2 and 2 + 3 = 3 + 2

*And distributive laws 18 x 17 = 8X (10 + 7) = 8 x 10 + 8 x 7 = 80 + 56 = 136 ( ACMNA151 ) TIMESNA13 *

*SAMMYNA08*

*Compare and order integers (positive and negative whole numbers), add and subtract integers with the aid of a number line. (eg: -2+-3=-5) ( ACMNA280 ) TIMESNA15*

Compare fractions using equivalence, (for example, exploring equivalence among families of fractions by using a fraction wall or a number line 2/3 is the same as 4/6 and 6/9).

*Locate and represent fractions and mixed numerals on a number line ( ACMNA152 ) TIMESNA14 *

*SAMMYNA09*

*Solve problems involving addition and subtraction of fractions, including those with unrelated denominators ( ACMNA153 ) TIMESNA14 SAMMYNA10*

*Multiply and divide fractions and decimals using strategies including patterning and multiplication as repeated addition with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication. ( ACMNA154 ) TIMESNA14 TIMESNA18*

Express one quantity as a fraction of another, with and without the use of digital technologies

*( ACMNA155 ) TIMESNA14*

*Round decimals to a specified number of decimal places ( ACMNA156 ) TIMESNA18*

*Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157) *

*TIMESNA18 TIMESNA20*

*Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158) TIMESNA17 TIMESNA20*

*Recognise and solve problems involving simple ratios (ACMNA173) TIMESNA17*

*Investigate and calculate 'best buys', with and without digital technologies ( ACMNA174 ) TIMESNA17*

*Introduce the concept of variables as a way of representing numbers using letters ( ACMNA175 ) *

*TIMESNA23 (SAMMYNA06)*

Create algebraic expressions and evaluate them by substituting a given value for each variable

*(For example: 2X + 5 where X=3) ( ACMNA176 ) TIMESNA23 TIMESNA24*

*Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (eg: order of operations). Move fluently between algebraic and word representations as descriptions of the same situation ( ACMNA177 ) TIMESNA13 TIMESNA26 SAMMYNA07*

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

*( ACMNA178 ) SAMMYNA11*

Solve simple linear equations eg: 2X+5=17 using strategies such as the balance model and backtracking

*( ACMNA179 ) TIMESNA26*

*Investigate, interpret and analyse graphs from authentic data Eg: interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines ( ACMNA180 ) TIMESNA29*

**Term 1 Term 2 Term 3 Term 4 **

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*Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving ( ACMMG159 ) TIMESMG10*

*Calculate volumes of rectangular prisms ( ACMMG160 ) TIMESMG11*

*Draw different views of prisms and solids formed from combinations of prisms ( ACMMG161 ) *

*SAMMYMG07*

Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries. Understand transformations (translation, reflection, rotation) to help identify the movement of shapes and rotational and line symmetry

*( ACMMG181 ) SAMMYMG09*

*Classify triangles according to their side and angle properties of scalene, isosceles, right-angled and obtuse-angled triangles ( ACMMG165 ) TIMESMG13*

*Describe squares, rectangles, rhombuses, parallelograms, kits and trapeziums ( ACMMG165 ) *

*TIMESMG13 TIMESMG20 TIMESMG21*

*Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral ( ACMMG166 ) TIMESMG09*

*Identify corresponding, alternate and co-interior angles when two parallel straight lines are crossed by a transversal. Define and classify angles such as acute, right, obtuse, straight, reflex and revolution, and pairs of angles such as complimentary, supplementary, adjacent and vertically opposite ( ACMMG163 ) *

*TIMESMG09 SAMMYMG08*

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning.

*Define and identify alternate corresponding and allied angles and the relationships between them for a pair of parallel lines cut by a transversal ( ACMMG164 ) TIMESMG09*

**Term 1 Term 2 Term 3 Term 4 **

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Construct sample spaces for single-step experiments with equally likely outcomes. Discuss the meaning of probability terminology (eg: probability, sample space, favourable outcomes, trial)

*( ACMSP167 ) TIMESSP12 SAMMYSP02*

*Assign probabilities to the outcomes of events and determine probabilities for events. Express probabilities in common and decimal fractional and percentage forms ( ACMSP168 ) TIMESSP12 *

*SAMMYSP02*

*Identify and investigate issues (eg: relationship between wealth and health of populations) involving continuous or large count data collected from primary and secondary sources ( ACMSP169 ) TIMESSP02*

Construct and compare a range of data displays including stem-and-leaf plots and dot plots

*( ACMSP170 ) TIMESSP02*

*Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data ( ACMSP171 ) TIMESSP02*

Describe and interpret data displays and the relationship between the median and mean. Use mean and median to compare data sets and explain how outliers may affect the comparison

*( ACMSP172 ) TIMESSP02*

**Term 1 Term 2 Term 3 Term 4 **

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