# MEASUREMENT AND GEOMETRY Year 7

### Year 7

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

### Year 7

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

### Year 7

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