Mapping+-+NSW+Stage+4

=Syllabus Mapping : NSW Board of Studies Stage 4=
 * = ==NSW Board of Studies Syllabus Outline : Stage 4== ||
 * = **Understanding, Fluency, Problem Solving and Reasoning** ||
 * < ===Number and Algebra=== ||< ===Measurement and Geometry=== ||< ===Statistics and Probability=== ||
 * < NA.4.1 Computation with Integers ||< MG.4.1 Length ||< SP.4.1 Single Variable Data Analysis 1 ||
 * < NA.4.2 Fractions, Decimals and Percentages ||< MG.4.2 Area ||< SP.4.2 Single Variable Data Analysis 2 ||
 * < NA.4.3 Financial Mathematics ||< MG.4.3 Volume ||< SP.4.3 Probability 1 ||
 * < NA.4.4 Proportion ||< MG.4.4 Time ||< SP.4.4 Probability 2 ||
 * < NA.4.5 Algebraic Techniques 1 ||< MG.4.5 Right Triangles (Pythagoras) ||<  ||
 * < NA.4.6 Algebraic Techniques 2 ||< MG.4.6 Angle Relationships ||<  ||
 * < NA.4.7 Indices ||< MG.4.7 Properties of Geometrical Figures 1 ||<  ||
 * < NA.4.8 Equations ||< MG.4.8 Properties of Geometrical Figures 2 ||<  ||
 * < NA.4.9 Linear Relationships ||<  ||<   ||

=Mapping from NSW BOS Stage 4 to ACM 7-10= //Status: This is a first draft - July 11, 2011. Check against the most recent BOS document prior to making a NSW Topic Slice//

NA 4.1 Computation with Integers p191
Number and place value - Year 7 - ACMNA151 Associative, commutative and distributive laws for mental and written computation Number and place value - Year 7 - ACMNA280 Compare, order and and subtract integers Number and place value - Year 8 - ACMNA183 Carry out four operation with integers using efficient mental and written strategies

NA 4.2 Fractions, Decimals and Percentages p193
Real numbers - Year 7 - ACMNA152 Compare equivalent fraction, locate represent fractions on a number line Real numbers - Year 7 - ACMNA153 Addition, subtraction of fractions, including unrelated denominators Real numbers - Year 7 - ACMNA154 Multiply and divide fractions and decimals Real numbers - Year 7 - ACMNA155 Express one quantity as a fraction of another Real numbers - Year 7 - ACMNA156 Rounding decimals Real numbers - Year 8 - ACMNA184 Terminating and recurring decimals Real numbers - Year 7 - ACMNA157 Connect fractions, decimals and percentages and carry out simple conversions Real numbers - Year 7 - ACMNA158 Find percentages of quantities, express one quantity as percentage of another Real numbers - Year 8 - ACMNA187 Percentage problems, including percentage increase and decrease

NA 4.3 Financial Mathematics p196
Money and financial mathematics - Year 7 - ACMNA174 - Best buys Money and financial mathematics - Year 8 - ACMNA189 - Profit and loss //not in Australian Curriculum: Investigate and calculate GST//

NA 4.4 Proportion p198
Real numbers - Year 7 - ACMNA173 - Recognise and solve problems involving simple ratios Real numbers - Year 8 - ACMNA188 - Rates and ratios Linear and non-linear relationships - Year 7 - ACMNA180 - Investigate graphs from authentic data

NA 4.5 Algebraic Techniques 1 p200
Patterns and algebra - Year 7 - ACMNA175 - Concepts of representing numbers using letters Patterns and algebra - Year 7 - ACMNA177 - Extend and apply arithmetic laws and properties to algebraic terms and expressions Patterns and algebra - Year 8 - ACMNA192 - Simplify algebraic expressions involving the four operations

NA 4.6 Algebraic Techniques 2 p202
Patterns and algebra - Year 7 - ACMNA176 - Create algebraic expressions, evaluate by substitution Patterns and algebra - Year 8 - ACMNA190 - Distributive law to expand algebraic expressions Patterns and algebra - Year 8 - ACMNA191 - Factorise algebraic expressions by identifying numerical factors //not in Australian Curriculum: Factorise algebraic expressions by identifying algebraic factors//

NA 4.7 Indices p204
Number and place value - Year 7 - ACMNA149 - Index notation, whole numbers as products of prime numbers Number and place value - Year 7 - ACMNA150 - Square roots of perfect square numbers Number and place value - Year 8 - ACMNA182 - Index laws for positive integral indices and zero index

NA 4.8 Equations p206
Linear and non-linear relationships - Year 7 - ACMNA179 - Solve simple linear equations Linear and non-linear relationships - Year 8 - ACMNA194 - Solve linear equations using algebraic [and graphical] techniques

NA 4.9 Linear Relationships p208
Linear and non-linear relationships - Year 7 - ACMNA178 - Plot and locate points on Cartesian plane Location and transformation - Year 7 - ACMMG181 - Describe translations, reflections in an axis, rotation on Cartesian plane Linear and non-linear relationships - Year 8 - ACMNA193 - Plot linear relations on Cartesian plane Linear and non-linear relationships - Year 8 - ACMNA194 - Solve linear equations using [algebraic and] graphical techniques

MG 4.1 Length p211
Using units of measurement - Year 8 - ACMMG196a - Perimeter [and area] of parallelograms, rhombuses and kites Real numbers - Year 8 - ACMNA186 - Irrational numbers, including pi Using units of measurement - Year 8 - ACMMG197a - Circle radius, diameter, circumference [and area]

MG 4.2 Area p213
Using units of measurement - Year 7 - ACMMG159 - Area rectangles, triangles and parallelograms Using units of measurement - Year 8 - ACMMG195a - Units of measurement for area [and volume], including conversions Using units of measurement - Year 8 - ACMMG196b - [Perimeter and] area of parallelograms, rhombuses and kites Using units of measurement - Year 8 - ACMMG197b - Circle [radius, diameter, circumference and] area

MG 4.3 Volume p216
Shape - Year 7 - ACMMG161 - Draw views of prisms and combination solids Using units of measurement - Year 8 - ACMMG195b - Units of measurement for [area and] volume, including conversions Using units of measurement - Year 8 - ACMMG198 - Volumes of prisms Using units of measurement - ** Year 9 ** - ACMMG217 - Surface area and volume of cylinders

MG 4.4 Time p218
Using units of measurement - Year 8 - ACMMG199 - Duration, 12- and 24 hour time calculations (same timezone) //not in Australian curriculum (Year 9/10?) : International Time Zones//

MG 4.5 Pythagoras p219
Pythagoras and trigonometry - ** Year 9 ** - ACMMG222 - Pythagoras’ Theorem solving simple right angle triangle problems Real numbers - Year 8 - ACMNA186 - Irrational numbers, including pi

MG 4.6 Angle Relationships p221
Geometric reasoning - Year 7 - ACMMG163 - Corresponding, alternate, and cointerior angles Geometric reasoning - Year 7 - ACMMG164 - Conditions for parallel lines, solve simple numerical problems

MG 4.7 Properties Geometrical Figures 1 p223
Geometric reasoning - Year 7 - ACMMG165 - Classify triangles, describe quadrilaterals Location and transformation - Year 7 - ACMMG181 - Describe translations, reflections in an axis, rotation on Cartesian plane Geometric reasoning - Year 7 - ACMMG166 - Angle sum triangle and quadrilateral

MG 4.8 Properties Geometrical Figures 2 p226
Geometric reasoning - Year 8 - ACMMG200 - Congruence of plane shapes using transformation Geometric reasoning - Year 8 - ACMMG201 - Congruence of triangles Geometric reasoning - Year 8 - ACMMG202 - Properties of quadrilaterals establish using congruent triangles and angle properties Using units of measurement - Year 7 - ACMMG160 - Calculate volumes of rectangular prisms

SP 4.1 Single Variable Data Analysis 1 p228
Data representation and interpretation - Year 7 - ACMSP169 - Issues involving continuous or large count data collected from primary and secondary sources Data representation and interpretation - Year 7 - ACMSP170 - Data displays including stem-and-leaf/dot plots Data representation and interpretation - Year 8 - ACMSP206 - Obtaining representative data

SP 4.2 Single Variable Data Analysis 2 p230
Data representation and interpretation - Year 7 - ACMSP171 - Mean, median, mode and range Data representation and interpretation - Year 7 - ACMSP172 - Intrepret data displays using median and mean Data representation and interpretation - Year 8 - ACMSP293 - Variation of mean and proportion in representative data Data representation and interpretation - Year 8 - ACMSP207 - Effects of individual data, including outliers, on mean and median

SP 4.3 Probability 1 p232
Chance - Year 7 - ACMSP167 - Construct sample spaces for single-step experiments with equally likely outcomes Chance - Year 7 - ACMSP168 - Assign probabilities to the outcomes of event and determine probabilities for events Chance - Year 8 - ACMSP204 - Complementary events

SP 4.4 Probability 2
Chance - Year 8 - ACMSP205 - Events using 'exclusive OR', 'inclusive OR', 'AND' Chance - Year 8 - ACMSP292 - Two-tables and Venn diagrams to calculate probability of events