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# Year 10 Mathematics

Course and Assessment Overview 2019

Week Content Assessments
Term 1

1

Patterns & Algebra

Algebraic expressions

Substitute values into formulas to determine an unknown

2 Solve a range of linear equations

Solve simple formulas

3 Linear relationships

Interpreting straight line graphs in context

Review graphing given table of values

4 Solve problems involving parallel and perpendicular lines

Graph lines using gradient and y-axis intercept

Assessment
5 Measurement

Review calculating area of composite shapes

Assessment
6 Solve problems involving surface area for a range of prisms, cylinders and composite solids

7 Solve problems involving volume for a range of prisms, cylinders and composite solids
8 Chance

Review two-step chance experiments using tree diagrams with & without replacement

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events.

Assessment
9 Review using Venn diagrams and two-way tables for events involving ‘and’, ‘or’ questions

10 Use two-way tables Venn diagrams and tree diagrams to understand conditional statements

Assessment
Term 2

1

Simultaneous Equations

Solve word problems represented as simple simultaneous equations

Solve linear simultaneous equations, using graphical techniques

2 Solve linear simultaneous equations, using algebraic techniques

3 Use technology to solve simultaneous equations
4 Linear inequalities – notation and equations
5 Linear inequalities – graphical displays
6 Exam Revision
7-8 EXAMINATIONS

Data representation

Review data comparison using mean, median and range for two sets of numerical data displayed in dot plots, stem and leaf plots and histograms

Determine quartiles and interquartile range

Construct and interpret box plots and use them to compare data sets

· finding the five-number summary (minimum and maximum values, median and upper and lower quartiles)

· understanding that parallel box plots can facilitate comparisons between data sets

EXAMINATIONS
9 Identify possible outliers

Interpret the mean and standard deviation of data and use these to compare data sets

Assessment
10 Use technology to calculate standard deviation Assessment
Term 3

1

Right-Angled Trigonometry

Review Pythagoras & Applications of Pythagoras

2 Trigonometric ratios

Use of trig ratios to find length of sides & size of angles

3 True bearings

Solve problems involving bearings given diagram

Solve problems involving angle of elevation & depression given diagram

4 Geometric Reasoning

Congruent and similar figures

Conditions for similarity

Use ratios of sides in similar triangles to determine other side lengths

5 Use familiar geometric properties to justify similarity

Use statements to formulate simple proofs

Assessment
6 Bivariate data

Time series data (identify trends)

7 Use scatterplots to investigate the association between two variable

Types of linear relationships

8 Fit Trend line by eye
9 Introduction to Correlation

(Use technology for calculation)

Assessment
Term 4

1

Number Patterns

Number patterns generated arithmetically

Number patterns generated geometrically

2 Exponentials

Review percentage increase and decrease

Exponential growth and decay

Assessment
3 Finance

Review simple interest

Rearrange simple interest formula to solve for principal , interest & time

Connect repeated simple interest calculations to compound interest

4 Compound interest rule

Use of technology to solve simple & compound interest problems

Loans and repayments

Assessment
5 Exam revision
6 EXAMINATIONS EXAMINATIONS
7 Non Right Angled Triangles

Area of Triangle

Use of Geometry App on Classpads

8 Cosine Rule to determine side lengths

Sine Rule to determine side lengths

Essentials/Applications/Methods intro

This document is subject to revision.

The Year 10 Syllabus for mathematics can be found on the SCSA website.

http://www.scsa.wa.edu.au/