Canning Vale College
YEAR 11
Mathematics: Essentials Units 1 and 2
Course Outline
2017
Introduction
Welcome to Mathematics: Essentials!
Please see Connect for access to important course information and resources.
Assessments
Assessment weightings for the year are shown below. The final year result and grade will be recorded for both units 1 and 2.
UNIT 1
Assessment
Weighting
Tests
(3 Tests per semester )
Quizzes
(3 Quizzes per semester)
Investigations
( 1 Investigation & 1 Application)
24%
6%
20%
50 %
UNIT 2
Assessment
Tests
(3 Tests per semester)
Quizzes
(3 Quizzes per semester)
Investigations
(1 Investigation & 1 Application)
Weighting
24%
6%
20%
50%
TOTAL
100 %
Resources
Text Books:
Essential Mathematics Units 1 and 2 (Ellery & Strickland)
Buckley, Callaway & Ostberg (MAWA)
Nelson Senior Maths Essentials Unit 1 & 2
On-line:
Mathletics
Calculators:
Casio Scientific FX-82AU Plus II (or similar)
A copy of the Syllabus statement is available via Connect, or on the School Curriculum and Standards Authority website
(www.curriculum.wa.edu.au).
Mathematics: Essentials UNIT 1 Program 2017
TERM1
WEEK
1-2
CONTENT
Skills review
Number Operations: Calculations
1.1.1-11
 use leading digit approximation to obtain estimates of calculations
 check results of calculations for accuracy
 understand the meaning and magnitude of numbers involved, including fractions,
percentages and the significance of place value after the decimal point
 ascertain the reasonableness of answers, in terms of context, to arithmetic calculations
 round up or round down answers to the accuracy required, including to the required
number of decimal places
 choose and use addition, subtraction, multiplication and division, or combinations of these
operations, to solve practical problems
 apply arithmetic operations according to their correct order
 convert between fractions, decimals and percentages, using a calculator when appropriate
 evaluate fractions and decimals of quantities to the required number of decimal places; for
example,
3
4
TEXT REF/RESOURCES
MAWA Unit1
1 Skills Review
Nelson Unit 1
Ellery & Strickland
Chapters 1 &2
of 250 ml, 0.4 of 3kg



2
apply approximation strategies for calculations if appropriate
use a calculator appropriately and efficiently for multi-step calculations
calculate a percentage of a given amount, using mental/written strategies or technology
when appropriate
 determine one amount expressed as a percentage of another
 apply percentage increases and decreases in situations, for example, mark-ups and
discounts and GST
Introduction to the Mathematical Thinking Process involving applications of unit 1
content (percentages, area, money )
MAWA Unit1
Chapter 2
Nelson Unit 1
Chapters 1 & 2
Ellery & Strickland
Chapters 1 &2
ASSESSMENTS
3-4
Measurement:
 1.1.2-4
 ascertain the reasonableness of answers, in terms of context, to arithmetic calculations
 1.1.6 choose and use addition, subtraction, multiplication and division, or combinations of
these operations, to solve practical problems
MAWA Unit1
Chapter 3,4, 5, 6
Nelson Unit 1
Chapter 3,6,7
Ellery & Strickland
 1.1.9 apply approximation strategies for calculations if appropriate
 1.1.11-13 evaluate fractions and decimals of quantities to the required number of decimal
places; for example,
3
4
of 250 ml, 0.4 of 3kg
 1.1.16-18
 identify common usage of rates, such as: km/h as a rate to describe speed or beats/minute
as a rate describing pulse rate
 convert units of rates occurring in practical situations to solve problems. For example, 1
tablespoon (tbsp) = 4 teaspoons (tsp) or 1 tbsp = 20 ml (Australia) or 15 ml (US and UK)
 use rates to make comparisons
 1.2.2 substitute values for the variables in a mathematical formula in given form to calculate
the value of the subject of the formula
1.3.1-2
 choose and use appropriate metric units of length, their abbreviations, conversions
between them, and appropriate levels of accuracy, such as mm for building and other trade
contexts, cm for textiles
 estimate lengths
 convert between metric units of length and other length units for simple practical purposes,
for example, 1 inch ≈ 2.54cm
 calculate perimeters of familiar shapes, including: triangles, squares, rectangles and
composites of these
1.3.9 -10
 choose and use appropriate metric units of mass, their abbreviations and conversions
between them
 estimate the mass of different objects
 Examples in context – Mass:
 comparing and discussing the components of different food types for the components of
Chapter 3.1-3.5
Quiz 1
Non calculator based
(Teachers to
announce the topics
in the class)
packaged food expressed as grams
 calculating and interpreting dosages for children from adults’ medication using various
formulas (Fried, Young, Clark) in milligram
5
5-7
TEST in
Basic Calculations
Units of length, mass , capacity and rates;
Formulae
Nutrition and health
Practical Applications involving linear measurement, mass, volume and capacity, rates and
practical formulas and interpreting information present in tables
MAWA Unit 1
Chapters 1 - 6
MAWA Unit 1
Chapters 7-9
Units of energy
Nelson Unit 1
Chapter 3,6,7
1.3.15-18
Ellery & Strickland

use units of energy to describe consumption of electricity, such as kilowatt hours

use units of energy used for foods, including kilojoules and calories

use units of energy to describe the amount of energy expended during activity
1.4.2-3
 convert from one unit of energy to another, such as calories/kilojoules
 interpret information presented in two-way tables
 discuss and interpret graphs found in the media and in factual texts
1.1.1-15
 check results of calculations for accuracy
 understand the meaning and magnitude of numbers involved, including fractions,
percentages and the significance of place value after the decimal point
 ascertain the reasonableness of answers, in terms of context, to arithmetic calculations
 round up or round down answers to the accuracy required, including to the required
number of decimal places
 choose and use addition, subtraction, multiplication and division, or combinations of these
operations, to solve practical problems
 apply arithmetic operations according to their correct order
 convert between fractions, decimals and percentages, using a calculator when appropriate
 evaluate fractions and decimals of quantities to the required number of decimal places; for
TEST 1
Lesson 1/2
example,




3
4
of 250 ml, 0.4 of 3kg
apply approximation strategies for calculations if appropriate
use a calculator appropriately and efficiently for multi-step calculations
calculate a percentage of a given amount, using mental/written strategies or technology
when appropriate
determine one amount expressed as a percentage of another

identify common usage of rates, such as: km/h as a rate to describe speed or beats/minute
as a rate describing pulse rate

convert units of rates occurring in practical situations to solve problems. For example, 1
tablespoon (tbsp) = 4 teaspoons (tsp) or 1 tbsp = 20 ml (Australia) or 15 ml (US and UK)

use rates to make comparisons
1.3.1-2
 choose and use appropriate metric units of mass, their abbreviations and conversions
between them
 estimate the mass of different objects
Examples in context – Mass:

comparing and discussing the components of different food types for the components of
packaged food expressed as grams

calculating and interpreting dosages for children from adults’ medication using various
formulas (Fried, Young, Clark) in milligrams
Volume and capacity (Reference only)
1.3.1-4
 choose and use appropriate metric units of volume, their abbreviations, and conversions
between them
 understand the relationship between volume and capacity, recognising that
1 cm3 = 1 mL and 1 m3 = 1 kL
 estimate volume and capacity of various objects
 calculate the volume and capacity of cubes and rectangular and triangular prisms
Examples in context – Volume and capacity:

determining the volume of water collected from a roof under different conditions

materials for applications, such as fertiliser, pool chemicals, paint
 calculating and interpreting dosages for children from adults’ medication using various
formulas (Fried, Young, Clark) in millilitres
1.2.1-2
Identify common use of formulas to describe practical relationships between quantities
 substitute values for the variables in a mathematical formula in given form to calculate the
value of the subject of the formula
1.3.1-3
7-8
 choose and use appropriate metric units of length, their abbreviations, conversions
between them, and appropriate levels of accuracy, such as mm for building and other trade
contexts, cm for textiles
 estimate lengths
 convert between metric units of length and other length units for simple practical purposes,
for example, 1 inch ≈ 2.54cm
Practical applications of area, volume and capacity.
Units of measurement conversions (optional)
1.3.5-8
 choose and use appropriate metric units of area, their abbreviations and conversions
between them
 estimate the areas of different shapes
 convert between metric units of area and other area units
 calculate areas of rectangles and triangles, and composites of these shapes
1.3.11-14
 choose and use appropriate metric units of volume, their abbreviations, and conversions
between them
 understand the relationship between volume and capacity, recognising that
1 cm3 = 1 mL and 1 m3 = 1 kL
 estimate volume and capacity of various objects
MAWA Unit 1
Chapters 11-13
Nelson Unit 1
Chapter 6, 7
Ellery & Strickland
Quiz 2
Week 8, lesson 1
measurement
 calculate the volume and capacity of cubes and rectangular and triangular prisms
9-10
Earning Money 1
1.1.1-18
Rates of pay (weekly, fortnightly, annual income, quotes, career research/incomes)
Applications of basic calculations – percentages, rates and their use of formulae.
More applications in measurement
1.3.1-8
 choose and use appropriate metric units of length, their abbreviations, conversions
between them, and appropriate levels of accuracy, such as mm for building and other trade
contexts, cm for textiles
 estimate lengths
 convert between metric units of length and other length units for simple practical purposes,
for example, 1 inch ≈ 2.54cm
 calculate perimeters of familiar shapes, including: triangles, squares, rectangles and
composites of these
Examples in context – Linear measure:






determining the dimensions/measurements of food packaging
determining the length of the lines on a sporting field to calculate the cost of marking it
choose and use appropriate metric units of area, their abbreviations and conversions
between them
estimate the areas of different shapes
convert between metric units of area and other area units
calculate areas of rectangles and triangles, and composites of these shapes
1.3.11-13

choose and use appropriate metric units of volume, their abbreviations, and conversions
between them

understand the relationship between volume and capacity, recognising that
1 cm3 = 1 mL and 1 m3 = 1 kL

estimate volume and capacity of various objects
MAWA Unit 1
Chapters 14-15
Nelson Unit1
Chapter 4.03
Ellery & Strickland
Chapter 4
Investigation 1
Week 9
10
1.4.2-3
TEST in
Measurement and its applications
Basic applications of earning money
MAWA Unit 1
Chapters 10-15
TEST 2
In Measurement
Nelson Unit 1
Chapter 3,6,7
TERM 2
WEEK
11-12
TERM BREAK – EASTER HOLIDAYS
CONTENT
Earning Money 1- Revise
Earning Money 2- Superannuation, Commission, Income tax
1.1.1-15 – Percentage, rate, fraction, decimal, rounding skills applies
1.1.10—12
apply approximation strategies for calculations if appropriate
use mental and/or flexible written strategies when appropriate
use a calculator appropriately and efficiently for multi-step calculations
TEXT REF/RESOURCES
MAWA UNIT 1
Chapters 16-19
Plus Miscellaneous
exercises
Nelson Unit1
Chapter 1.08, 2.06
Ellery Strickland
Chapters 1 and 2
Examples in context – Basic calculations:
13

creating a budget for living at home and for living independently

using timesheets, which include overtime, to calculate weekly wages

using and interpreting tax tables

converting between weekly, fortnightly and yearly incomes

converting a recipe for a larger or smaller number of servings

determining how much money is spent in the school canteen each day
1.4.1-6
Data interpretation skills like reading tables, interpret two-way tables, discuss the factual texts
Managing Money
Bank accounts, percentages, using formulas
1.1.13-15


calculate a percentage of a given amount, using mental/written strategies or technology
when appropriate
determine one amount expressed as a percentage of another
Excel spread sheets
ABS website
www.abs.gov.au
Nelson Unit1
Chapters 1-10
Excel spread sheets
ABS website
www.abs.gov.au
ASSESSMENTS
Quiz 3
Chapters 16-19
MAWA UNIT 1

13-15
apply percentage increases and decreases in situations, for example, mark-ups and
discounts and GST
Spending money
Discounts, best buys, budgets, using data to make decisions
Parts of 1.3.9-14
MAWA UNIT 1
Chapters 21-25

choose and use appropriate metric units of mass, their abbreviations and conversions
between them
Nelson Unit 1
Chapter 10

estimate the mass of different objects
Ellery Strickland
Chapters 1 and 2
Examples in context – Mass:

comparing and discussing the components of different food types for the components of
packaged food expressed as grams

calculating and interpreting dosages for children from adults’ medication using various
formulas (Fried, Young, Clark) in milligrams
Excel spread sheets
activities
ABS website
www.abs.gov.au
Volume and capacity
 choose and use appropriate metric units of volume, their abbreviations, and conversions
between them
 understand the relationship between volume and capacity, recognising that
1 cm3 = 1 mL and 1 m3 = 1 kL
 estimate volume and capacity of various objects
15
16-17
18
19-20
1.4.1-6
 Data interpretation – information from the tables
Continue teaching Earning money 2/Revision
Practical Application
1 (towards end of
Week 14/early 15)
Work Experience – Semester 2 Begins
Revise Earning money 2
Test 3
MAWA UNIT 1
Chapters 21-25
UNIT 2 BEGINS
Test 3 in UNIT 1
Lesson 3 or 4
Term 2
Week
Syllabus Reference
Classifying data:
19
2.1.1 identify examples of categorical data,
2.1.2 identify examples of numerical data,
2.1.6 compare the suitability of different methods of data presentation in real-world
contexts
2.1.7 identify the mode and calculate other measures of central tendency, the arithmetic
mean and the median, using technology when appropriate
2.1.8 investigate the suitability of measures of central tendency in various real-world
contexts
2.1.9 investigate the effect of outliers on the mean and the median
Data collection, data representation, types of data, categorical, numeric, continuous,
discrete, measurement of location
Data presentation and interpretation:
20
Term 3
Week
2.1.3 display categorical data in tables and column graphs
2.1.4 display numerical data as frequency distributions, dot plots, stem and leaf plots and
histograms
2.1.5 recognise and identify outliers
2.1.7 identify the mode and calculate other measures of central tendency, the arithmetic
mean and the median, using technology when appropriate
2.1.8 investigate the suitability of measures of central tendency in various real-world
contexts
2.1.11 use informal ways of describing spread, such as: spread out/dispersed, tightly packed,
clusters, gaps, more/less dense regions, outliers
2.1.12 interpret statistical measures of spread, such as: the range, interquartile range and
standard deviation
Term 2 Holidays
Description & Syllabus reference
Text Reference
Assessment
MAWA Essentials
Ch26, Ch27 and Ch28
Nelson Unit 2
Ch 8
Ellery & Strickland
Ch 6 & 7
MAWA Essentials
Ch29, Ch30 and Ch31
Nelson Unit 2
Ch 8 & 11
Ellery & Strickland
Ch 5
Syllabus Reference
Assessments
Data presentation and interpretation:
21
2.1.4 display numerical data as frequency distributions, dot plots, stem and leaf plots and
histograms
2.1.5 recognise and identify outliers
2.1.7 identify the mode and calculate other measures of central tendency, the arithmetic
mean and the median, using technology when appropriate
2.1.9 investigate the effect of outliers on the mean and the median
2.1.11 use informal ways of describing spread, such as: spread out/dispersed, tightly packed,
clusters, gaps, more/less dense regions, outliers
2.1.14 compare back to back stem plots for different data sets
2.1.17 compare the characteristics of the shape of histograms using symmetry, skewness
and bimodality
Summarising and interpreting data:
22
23
2.1.7 identify the mode and calculate other measures of central tendency, the arithmetic
mean and the median, using technology when appropriate
2.1.10 calculate and interpret quartiles
2.1.15 complete a five number summary for different data sets
2.1.16 construct and interpret box plots using a five number summary
Data presentation and interpretation:
2.1.3 display categorical data in tables and column graphs
2.1.4 display numerical data as frequency distributions, dot plots, stem and leaf plots and
histograms
2.1.6 compare the suitability of different methods of data presentation in real-world
contexts
2.1.7 identify the mode and calculate other measures of central tendency, the arithmetic
mean and the median, using technology when appropriate
2.1.8 investigate the suitability of measures of central tendency in various real-world
contexts
2.1.13 investigate real-world examples from the media illustrating inappropriate uses, of
measures of central tendency and spread
Percentage Fraction Skills Review:
24
1.1.8 convert between fractions, decimals and percentages, using a calculator when
appropriate
MAWA Essentials
Ch32 and Ch33
Nelson Unit 2
Ch 11
Ellery & Strickland
Ch 6 & 7
Quiz 4
Data
representation &
interpretation
MAWA Essentials
Ch34 and Ch35
Nelson Unit 2
Ch 11
MAWA Essentials
Ch36 and Ch37
Nelson Unit 2
Ch 11 & 14
Revise percentage
fundamentals
Nelson Unit 2
Test 4
Representing and
comparing data
Investigation 2
1.1.13 calculate a percentage of a given amount, using mental/written strategies or
technology when appropriate
1.1.14 determine one amount expressed as a percentage of another
1.1.15 apply percentage increases and decreases in situations, for example, mark-ups and
discounts and GST
Percentage calculations:
2.2.1 review calculating a percentage of a given amount
2.2.2 review one amount expressed as a percentage of another
25
26
27
28
Applications of percentages:
2.2.3 determine the overall change in a quantity following repeated percentage changes; for
example, an increase of 10% followed by a decrease of 10%
2.2.4 calculate simple interest
Ratios:
2.3.1 identify common use of ratios to express comparisons of quantities in practical
situations
2.3.2 use diagrams or concrete materials to show simple ratios, such as 1 to 4, 1:1:2
2.3.3 understand the relationship between simple fractions, percentages and ratio, for
example, a ratio of 1:4 is the same as 20% to 80% or 1/5 to 4/5
2.3.4 express a ratio in simplest form
2.3.5 determine the ratio of two quantities in context
2.3.6 divide a quantity in a given ratio, for example, share $12 in the ratio 1 to 2
2.3.7 use ratio to describe simple scales
Ratios:
2.3.1 identify common use of ratios to express comparisons of quantities in practical
situations
2.3.2 use diagrams or concrete materials to show simple ratios, such as 1 to 4, 1:1:2
2.3.3 understand the relationship between simple fractions, percentages and ratio, for
example, a ratio of 1:4 is the same as 20% to 80% or 1/5 to 4/5
2.3.4 express a ratio in simplest form
2.3.5 determine the ratio of two quantities in context
2.3.6 divide a quantity in a given ratio, for example, share $12 in the ratio 1 to 2
2.3.7 use ratio to describe simple scales
Rates:
2.3.8 review identifying common usage of rates, such as km/h
2.3.9 convert units for rate; for example, km/h to m/s, mL/min to L/h
2.3.10 complete calculations with rates, including solving problems involving direct
Ch 2 & 10
Ellery & Strickland
Ch 2
MAWA Essentials
Ch41
Nelson Unit 2
Ch 10
Ellery & Strickland
Ch 8
MAWA Essentials
Ch38
Quiz 5
Nelson Unit 2
Ch 12
Ellery & Strickland
Ch 9
MAWA Essentials
Ch39
Nelson Unit 2
Ch 12
MAWA Essentials
Ch40
Nelson Unit 2
Test 5
Percentages Rates
proportion in terms of rate
2.3.11 use rates to make comparisons
2.3.12 use rates to determine costs
29
30
Ch 6
Time:
2.4.1 use of units of time, conversions between units, fractional, digital and decimal
representations
2.4.2 represent time using 12 hour and 24 hour clocks
2.4.3 calculate time intervals, for example, time between, time ahead, time behind
Time:
2.4.4 interpret timetables, such as bus, train and ferry timetables
2.4.5 use several timetables and electronic technologies to plan the most time-efficient
routes
2.4.6 interpret complex timetables, such as tide charts, sunrise charts and moon phases
2.4.7 compare the time taken to travel a specific distance with various modes of transport
and Ratio
Ellery & Strickland
Ch 9
MAWA Essentials
Ch42 and Ch43
Nelson Unit 2
Ch 9
Ellery & Strickland
Ch 10
MAWA Essentials
Ch44 and Ch45
Nelson Unit 2
Ch 9
Practical
Application 2
Term 3 Holidays
Term 4
31
Description & Syllabus Reference
Speed:
2.4.10 identify the appropriate units for different activities, such as walking, running,
swimming and flying
2.4.11 calculate speed, distance or time using the formula speed = distance/time
2.4.12 calculate the time or costs for a journey from distances estimated from maps
2.4.13 interpret distance versus time graphs
2.4.14 calculate and interpret the average speed
Distance and Length:
32
2.4.8 use scales to calculate distances and lengths on plans, maps and charts
2.4.9 plan routes for practical purposes, accounting for local
Resources
MAWA Essentials
UNIT 2
Ch46 and Ch47
Nelson Unit 2
Ch 9
Ellery & Strickland
Ch 10
MAWA Essentials
Ch48 and Ch49
Nelson Unit 2
Ch 13
Ellery & Strickland
Ch 10
Assessments
33
Distance and Length:
2.4.8 use scales to calculate distances and lengths on plans, maps and charts
2.4.9 plan routes for practical purposes, accounting for local
34
Revision & Test
MAWA Essentials
Ch50
Quiz 6
Nelson Unit 2
Ch 13
Revise
MAWA Essentials Unit
2
Chapters 46-50
Test 6
Time and Motion