Yr+9+Mathematics+Year+Planner

At this year level: **Understanding** includes describing the relationship between graphs and equations, simplifying a range of algebraic expressions, explaining the function of relative frequencies and probabilities, calculating areas of shapes and surface areas of prisms and the constancy of the trigonometric ratios for right-angle triangles **Fluency** includes applying the index laws to expressions with integer indices, expressing numbers in scientific notation, listing outcomes for experiments and developing familiarity with calculations involving the Cartesian plane **Problem Solving** includes calculating surface areas and volumes of right prisms, applying ratio and scale factors to similar figures, solving problems involving right-angle trigonometry, and collecting data from secondary sources to investigate an issue **Reasoning ** includes following mathematical arguments, evaluating media reports and using statistical knowledge to draw conclusions, developing strategies in investigating similarity and sketching linear graphs.

By the end of Year 9, students express numbers in scientific notation and apply the index laws to numbers. They expand and [|factorise] algebraic expressions and solve problems involving simple interest. Students solve linear equations using graphical and algebraic techniques. Students list outcomes, assign and determine probabilities for events. They construct displays and investigate the position of the mean and median and describe the shape of the distribution. Students calculate areas of shapes and volume and surface area of right prisms. They investigate similar and congruent triangles and problems involving Pythagoras’ theorem. Students recognise the connection between similarity and the trigonometric ratios and use trigonometry to solve right-angled triangle problems. **Term 1: **Exemplar unit: Pythagoras’ theorem, linear graphs and direct proportion This term builds upon students’ understanding of linear graphs, and rates and ratio. Students investigate, create, evaluate and manipulate mathematical models showing the relationship between two variables. They are introduced to: (10 weeks) **Term 2: **Algebraic expressions and the index laws Students continue to develop their understanding of algebra to solve problems involving numeric and algebraic situations. They: (5 weeks)
 * Achievement Standards **
 * Pythagoras’ theorem
 * direct proportion
 * coordinate geometry
 * using the distributive law.
 * perform algebraic expansions, including binomials
 * extend their understanding of the index laws, including application to scientific notation
 * extend proportional reasoning to include simple interest.

Measurement, area and volume This unit builds upon students’ understanding of measurement and geometry. They investigate similar figures, areas of composite shapes, surface areas and volumes. (3 weeks) **Term 3: **Designing the best game Students’ understanding of the fundamentals of probability and statistics includes identifying complementary events, using two-way tables and Venn diagrams, and exploring the mean and median. This unit extends student learning to: (10 weeks) **Term 4: **Eureka! I’ve solved the problem Building on understanding developed throughout the year, this term asks students to apply learning to a series of problem-solving and reasoning tasks that include: (10 weeks) Literacy, numeracy, critical and creative thinking, ethical behaviour, and Asian and Australi's engagement with Asia.
 * identify numerical and categorical variables
 * conduct two-step chance experiments with and without replacement
 * calculate relative frequencies
 * investigate surveys used in the media
 * describe the spread of data.
 * the application of trigonometric ratios to solve right-angled triangle problems
 * Pythagoras’ theorem
 * using similarity with trigonometry to solve problems
 * linear relations and graphing.
 * Opportunities to engage with:**