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# Year 11 Mathematics Essential

Course Outline 2019

Week Content Assessment

Term 1

1 – 2

4-Feb

Basic calculations – rounding to suit the context, estimation, meaning and magnitude of numbers involved including decimal, fraction and percentages. Ascertain the reasonableness of answers to the accuracy required, including the required number of decimal places. Calculations with whole numbers, order of operations. Convert between fractions, decimals and percentages, using a calculator when appropriate. Practical applications include creating a budget, using time sheets to calculate weekly wages (including over time), tax tables, converting between weekly, fortnightly and yearly incomes, converting amount in recipe to a larger or smaller serving, money spent in school canteen.

1.1.1 – 1.1.12

3

18-Feb

Percentages – Calculate percentage of given amount, express one amount as a percentage of another, practical situations: GST, discounts, mark-ups, ingredients of packaged food, calculating commission, including retainers from sales information.

1.1.13 – 15

4

25-Feb

Rates – identify common usage of rates, convert units of rates. Practical applications of rates: Compare and evaluate nutritional information, calculate heart rate as beats per minute, using unit process to compare best buys, comparing energy used and energy intake over different period times, calculation of rates. Use the mathematical thinking process to solve problems.

1.1.16 – 18, 1.3.5 – 18

Practical Application 1.1:

Rates comparison

Weight: 7.5%

5

4-Mar

Using Formulas – identify commonly used of formula to describe relationships between quantities. Substitute values for variables in. formulas to calculate the subject of the formula. Example: Body Mass Index formula, weekly wage formula, etc.

1.2.1 – 2

Test 1.1: Week 1 to 5 topics

Weight: 7%

6 – 9

11-Mar

Linear Measure, area measure, mass, unit of measurement and practical applications of measurement

1.3.1 – 1.3.10

9

1-Apr

Volume and capacity

1.3.11 -1.3.14

Practical Applications 1.2:

Measurement

Weight 10%

10

8-Apr

Units of energy – practical applications: describe consumption of electricity, energy for foods, compare nutritional energy between different types and amount of food, energy expended during activity and convert unit of energy.

1.3.15-1.3.18

Test 1.2: Week 6 to 10 topics

Weight: 8%

Term 2

1 – 2

29-Apr

Reading and interpreting graphs – Practical formulas and interpreting information presented in tables and graphs. Analysing and interpreting graphical information (electricity bills, global weather patterns that affect food growth.

1.4.1 – 1.4.3

3

13-May

Drawing graphs – Determine type of graph that is the best to display a dataset (column graph or pie graph to express an ingredient as a percentage of total quantity, use spreadsheets to tabulate and data graph, draw a graph to represent practical situation (deduction from gross wages)

1.4.4 – 1.4.6

Practical Application 1.3:

Graphs

Weight: 10%

4

20-May

Revision – Assessment Free

5

27-May

Semester One Exam Weight: 10%

6

3-Jun

Semester One Exam

7

10-Jun

Percentages calculation – calculate percentage of a given amount, review one amount expressed as percentage of another.

2.2.1 – 2.2.2

8

17-Jun

Application of percentages – determine overall change in quantity following repeated percentage changes (increase then decrease), simple interest, depreciation of vehicle over time, stamp duty, communicate statistical and graphical data

2.2.3 – 2.2.4

9

24-Jun

Ratios – use of ratios to express comparisons of quantities, understand the relationship between simple fractions, percentages and ratio, ratio in simplest form. Determine ratio of two quantities, divide quantity in a given ratio, use ratio to describe simple scales (ratio of food, clothing, transport costs within a budget)

2.3.1 – 2.3.7

10

1-Jul

Rates – convert units for rate, problem solving involving direct proportion in terms of rate, use rates to make comparison, use rates to determine costs (cost of tradesman per hour, call-out fees)

2.3.8 – 2.3.12

Test 2.1: Week 7 to 10 (term 2) topics

Weight: 7.5%

Term 3

1

29-Jul

Classifying data – identify examples of categorical data and numerical data

2.1.1 – 2.1.2

2

5-Aug

Data presentation – display category data in tables and column graphs, display numerical data as frequency distributions, dot plots, stem and leaf plots and histograms.

2.1.3 – 2.1.4

3

12-Aug

Data presentation and interpretation – recognise and identify outliers, compare suitability of different methods of data representation in real-world contexts.

2.1.5 – 2.1.6

4

19-Aug

Summarising and interpreting data – using mean, mode and median as measures of central tendency, range, interquartile range, standards deviation as measures of spread. Investigate real-world examples illustrating inappropriate use of measures of central tendency and spread.

2.1.7 – 2.1.13

5 – 6

26-Aug

Comparing data sets – Using back to back stem plots, box and whisker plots, and histograms to compare data distributions. Interpreting symmetry, skewness and bimodality of data sets.

Constructing box and whisker plots from a five-number summary.

2.1.14 – 2.1.17

Investigation 1: Statistics

Weight: 12.5%

7

9-Sep

Time – Units of time, conversions between units, fractional, digital and decimal representations of time, timetables (public transport)

2.4.1 – 2.4.7

Practical application 2.1: Time.

Weight: 10%

8

16-Sep

Distance and length – use scales to calculate distances on plans, maps and charts. Plan route for practical purposes (best way to travel from A to B passing service station)

2.4.8 – 2.4.9

9

23-Sep

Speed – Speed expressed as a rate, average speed, fuel consumption, reaction times, stopping time and braking distance, interpreting distance versus time graphs, calculating speed, distance and time from a distance vs time graph

2.4.10 – 2.4.14

Test 2.2: Week 7 to 9 topics

Weight: 7.5%

Term 4

1

14-Oct

Revision – Assessment free week

2-3

21-Oct

Revision – Assessment free week

4-5

4-Nov

Semester Two Exam Weight: 10%

This document is subject to revision.

The Year 11 Syllabus for Mathematics Essential can be found on the SCSA website.

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