UNIT: TERM 1 YEAR 9 UNIT OVERVIEW: PROBABILITY ASSESSMENT: EXAM UNIT DETAILS: Sample Space (Lists, Tree Diagrams, Tables, Venn Diagrams) Experimental Probability (relative frequency and expected values) Theoretical Probability (independent events, multiple events, complementary events, dependent events - with and without replacement) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises PROBABILITY Construct sample spaces for single-step experiments with equally likely outcomes ACMSP167 (7) Assign probabilities to the outcomes of events and determine probabilities for events ACMSP168 (7) Identify complementary events and use the sum of probabilities to problems ACMSP204 (8) Represent such events in tables and Venn diagrams and solve related problems ACMSP292 (8) List all outcomes for two-step chance experiments, both with and without replacement tree diagrams or arrays Assign probabilities to outcomes and determine 1 Describe and represent probability of an event. Handout - 9 MQ Ex. 10A 2 experimental probability formula to calculate the relative frequency of an event. Handout – 9 MQ Ex. 10B 3 To construct a sample space using a list and calculate the theoretical probability Handout – 9 MQ Ex. 10C 4 Construct a sample space using a table and/or tree diagram and calculate the theoretical probability of an event. Handout – 9 MQ Ex. 10E 5 Identify complementary events and sum of probabilities to calculate the probability of an event and the probability of a complementary event. Handout – 10MQ Ex. 10B 6 Construct Venn Diagrams to calculate the probability of events occurring. Dwyer Textbook Ex. 14.8 Yr 8 – Ex. 18.3 7 Define and identify independent and dependent events. Handout – 10 Ex. 8.3
probabilities for events ACMSP225 Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’ ACMSP226 Chapter 9 Maths Quest 2 Chapter 10 Maths Quest 3 Chapter 10 8 Apply knowledge of sample space to calculate the probability of dependent events. Handout – 10 Dwyer Ex. 8.4 9 Apply probability formula and Venn Diagrams to calculate conditional probability. Handout – 10 Dwyer Ex. 8.5, 8.6 UNIT: TERM 2 YEAR 9 UNIT OVERVIEW: NAPLAN, PYTHAGORAS AND TRIGONOMETRY ASSESSMENT: EXAM UNIT DETAILS: Problem Solving (NAPLAN, ICAS, Problem Solving) Pythagoras (is a triangle square, finding the hypotenuse and a shorter side, applications) Similar Triangles (understanding, finding a side, investigation towards trigonometry) Trigonometry (finding the side on top, side on bottom, applications) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises
UNIT: TERM 3 YEAR 9 UNIT OVERVIEW: ALGEBRA AND LINEAR RELATIONSHIPS ASSESSMENT: EXAM UNIT DETAILS: Algebra (index laws, expanding and factorising, solving) Linear and Non-Linear Relationships (linear and quadratic equations and graphs, distance and midpoints) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and someone else the concepts) Additional Extension Exercises PATTERNS AND ALGEBRA Extend and apply the index laws to variables, using positive integral indices and the zero index ACMNA212 1 Review calculating integers. Dwyer Textbook Ex. 18.1, 18.2, 18.3 2 Simplify algebra using index laws. Dwyer Textbook Ex. 11.1 to 11.9 3 Simplify algebraic expressions. Dwyer Textbook Ex. 18.5, 18.6, 18.7, 18.8
4 Expand the brackets the distributive law. Textbook Ex. 18.9, 18.10 5 Factorise an algebraic expression. Textbook Ex. 18.11, 18.12 6 Expand binomial expressions. Dwyer Textbook Ex. 18.13 7 Factorise terms from within terms. Dwyer Textbook Ex. 18.14 8 Solve equations to calculate the unknown variable. Pearson Textbook Ex. 5.1 9 Find the rule for a linear equation. Dwyer Textbook Ex. 4.2, 4.3 10 Sketch linear graphs. Dwyer Textbook Ex. 4.4, 4.5 11 Sketch non-linear graphs. Dwyer Textbook Ex. 4.6, 4.7 12 Find the distance between two points on a graph. Textbook Ex. 16.1, 16.2 13 Calculate the midpoint of a line segment. Textbook Ex. 16.3, 16.4, 16.5 14 Calculate the gradient of a line. Textbook Ex.16.6, 16.7
Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate, including factorisation and solving ACMNA213 Find the distance between two points located on a Cartesian plane using a range of strategies including graphing software ACMNA214 Find the gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software ACMNA294 Sketch linear graphs the coordinates of two points ACMNA215 Ex 11.19 Ex. 2.16 Ex. 18.18 Ex. 4.12 Chapter Review Ex. 11.21, 11.22 Ex 2.18, 2.19 Ex. 18.20, 18.21 Ex. 4.14, 4.15 Ex 16.15, 16.16 Pearson Mathematics Ex. 3.1 to 3.8 Ex. 9.2 Maths Quest 3 Chapter 4 15 Apply formulas to calculate the gradient, midpoint and length of a line. Dwyer Textbook Ex. 16.8, 16.9 4 YEAR 9 UNIT OVERVIEW: MEASUREMENT ASSESSMENT: EXAM UNIT DETAILS: Measurement (area, surface area and volume, capacity) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and Additional Extension Exercises
teach someone else the concepts) MEASUREMENT Express numbers in scientific notation ACMNA210 Calculate the areas of composite shapes ACMMG216 Calculate the surface area and volume of cylinders and solve related problems ACMMG217 problems involving the surface area and volume of right prisms ACMMG218 1 Convert between ordinary numbers and scientific notation. Dwyer Textbook Ex. 11.10, 11.12, 11.14, 11.15 Dwyer Textbook Ex. 3.13, 3.14 Ex. 13.10 Chapter Review Ex. 3.16, 3.17 Ex. 13.12, 13.13 Pearson Mathematics Ex. 4.2, 4.3, 4.4 2 Review the formulas to calculate area. Dwyer Textbook Ex. 3.1, 13.1 3 Apply formula to calculate the area of composite shapes. Dwyer Textbook Ex. 3.2, 13.2 4 Apply formula to calculate the area of a sector of a circle. Handout 5 formula to calculate the surface area of right prisms. Dwyer Textbook Ex. 3.5 6 Apply formula to calculate the surface area of cylinders. Dwyer Textbook Ex. 3.6, 3.7, 3.8 7 Apply formula to calculate the area of shapes to solve problems. Dwyer Textbook Ex. 3.9 8 Convert units of volume and capacity. Dwyer Textbook Ex. 13.3 9 Apply formula to calculate the volume of prisms. Dwyer Textbook Ex. 13.4, 13.5 10 Apply formula to calculate the volume of shapes to solve problems. Dwyer Textbook Ex. 13.6