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Year 9 Mathematics Program 2017 Content Term 1 Measurement and Geometry Week 1 Using units of measurement Week 2 Calculate areas of composite shapes (ACMMG216) Week 3 Calculate the surface area and volume of cylinders and solve related problems (ACMMG217) Week 4 Solve problems involving the surface area and volume of right prisms (ACMMG218) Assessment Week 2: Inv 1 MG Week 4: Test 1 MG Number and Algebra Week 5 Money and financial mathematics Week 6 Solve problems involving simple interest (ACMNA211) Week 7 Patterns and algebra Week 8 Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate (ACMNA213) Week 9 Linear and non-linear relationships Week 10 Sketch linear graphs using the coordinates of two points and solve linear equations (ACMNA215) Week 6: Inv 2 NA Week 10: Test 2 NA Content Term 2 Measurement and Geometry Week 1 Pythagoras and trigonometry Week 2 Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222) Week 3 NAPLAN Assessment Geometric reasoning Week 4 Week 5 Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar (ACMMG220) Solve problems using ratio and scale factors in similar figures (ACMMG221) Week 6 Pythagoras and trigonometry Week 7 Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223) Week 8 Apply trigonometry to solve right-angled triangle problems (ACMMG224) Number and Algebra Week 9 Real numbers Wek 10 Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208) Week 5: Test 3 MG Week 8: Test 4 MG Content Term 3 Assessment Linear and non-linear relationships Week 1 Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214) Week 2 Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software (ACMNA294) Week 3 Sketch linear graphs using the coordinates of two points and solve linear equations (ACMNA215) Week 3: Test 5 NA Real numbers Week 4 Week 5 Apply index laws to numerical expressions with integer indices (ACMNA209) Express numbers in scientific notation (ACMNA210) Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212) Week 6 Week 7 Linear and non-linear relationships Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations (ACMNA296) Week 7: Test 6 NA Week 8 Statistics and Probability Week 9 Chance Week 10 List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225) Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or' (ACMSP226) Week 10: Test 7 SP Content Assessment Term 4 Week 1 Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians (ACMSP227) Week 2 Data representation and interpretation Week 3 Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources (ACMSP228) Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282) Week 4 Week 3: Inv 3 SP Week 5: Test 8 SP Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283) Week 5 Research a career that requires Maths Week 6 Week 7 Week 8 Area of Composite Shapes (Revision) Week 9 Simple Interest (Revision) Week 10 Year 9 Maths Assessment Outline Term Week Task Description Weighting Number & Algebra Measurement & Geometry 1 2 Investigation 1: Measurement & Geometry 6% 1 4 Test 1: Area, Surface Area and Volume 9% Statistics & Probability 1 6 Investigation 2: Number & Algebra 6% 1 10 Test 2: Simplifying, Expanding/Factorising and Solving 10% 2 5 Test 3: Pythagoras and Similar Triangles 9% 2 8 Test 4: Trigonometry 10% 3 3 Test 5: Direct Proportion and Linear Algebra 10% 3 7 Test 6: Indices, Scientific Notation and Non-Linear Relations 9%