Heinemann Maths Zone for Western Australia 3 - Work Programs

Heinemann Maths Zone for Western Australia 3 Work Programs

Heinemann Maths Zone for Western Australia 3 - Work Programs

This document provides examples for Year 10 Work Programs, referenced to the Heinemann Maths Zone for Western Australia 3 textbook.

MZWA3 = Heinemann Maths Zone for Western Australia 3 textbook

eMZWA3 = Heinemann eMaths Zone for Western Australia 3 student CD

TRAD = Teacher’s Resource and Assessment Disk

R = Replay worksheet

C = Consolidation worksheet

HW = Homework sheet

MZWA3 TRAD

Work Programs

Teaching, learning and assessment programs are always designed around the needs of students.

In the Mathematics Learning Area, these work programs provide opportunities for students to develop and demonstrate an understanding of outcomes across the seven clusters/strands namely,Appreciating Mathematics, Working Mathematically, Number, Measurement, Chance and Data, Space and Algebra.

In general, it is expected that a significant number of Year 10 students would be working in Levels 5 or 6 and hence moving towards Levels 6 or 7. A number of students may also begin to demonstrate the achievement of some outcomes in Level 8 within some clusters/strands. It is this knowledge of the students which provides teachers with a starting point for planning work programs.

The two Work Programs that have been included represent two different approaches to planning from the textbook. However, in any work program, teachers will need to customise the content and its sequencing to meet the needs of the students concerned, i.e. What are the outcomes that need to be developed?

Program -Example A – demonstrates a focus on the clusters/strands of outcomes, conceptual variety and a selection of the related content from Heinemann Maths Zone for Western Australia 3. Consequently, teachers will need to make relevant selections from the cumulative revision ‘Replays’ and the ‘Mixed Revisions’ tasks as presented throughout the text.

Program -Example B – focuses on working through entire chapters, virtually chapter-by-chapter, of Heinemann Maths Zone for Western Australia 3 and demonstrates a comprehensive coverage of all the features presented in the text.

Consequently, no modification needs to be made to either the cumulative revision ‘Replays’ or the ‘Mixed Revisions’ tasks.

Monitoring student progress

In an outcomes approach a teacher monitors a student’s achievement of particular outcomes through the entire learning, teaching and assessment program.

In any one class of students there is likely to be a variety of learning styles. Therefore, a range of task-types is required to provide opportunities for all students to demonstrate their understanding of particular outcomes. Some task-type examples are: classroom observations, teacher journals, checklists and matrices, open-ended tasks, teacher-made tests, standardised tests, student journals, portfolios, student-teacher conferences, self and peer assessment. Regular classroom activities such as textbook exercises, worksheets, practical tasks, investigations, calculator and computer tasks maybe categorised into one or more of the above task-types.

The Options section of Work Programs ‘Example A’ and ‘Example B’ provide a range of tasks/activities.

This allows a teacher and/or student to choose what they consider to be appropriate tasks as they proceed through the learning, teaching and assessment program.

Sample Pro-forma:

‘Task Summary’: Each task that is used for monitoring student progress can be recorded on the Task Summary sheet. As a result, each task is numbered and this number can then be used as a code in subsequent pro-forma.
‘Curriculum Audit - by Task’: Task numbers are entered against each Cluster - Outcome and /or Aspect or Strand and sub strand. This recording provides an overview of the curriculum covered.
‘Monitoring Student Progress’: Task numbers can be recorded on the individual Monitoring Student Progress sheets each time that a student demonstrates achievement of a particular outcome. It is from these records that teachers make on-balance judgements concerning the level attained by a student on each Cluster or Strand in Mathematics, e.g. when reporting to parents.

A sample of the above pro-forma can be found following the Work Programs - Examples A and B.

Year 10 Program- Example A (Developed by using sections from the chapters)

Term 1

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 3 / Number – 1 Finance
1.1 Paying the bills
1.2 Compound interest
1.3 Loans [HW1.1]
1.4 Compound interest by formula
1.5 Depreciation
1.6 The effect of inflation on profit and loss [HW1.2]
Options
Maths in Action: The dream home, Investigation: Should we buy another car?,Computer investigation: Bank statements, Speeding Zone, Laugh Zone, Assessment task: How effective are investments? and Worksheets: R1.1–R1.5; C1.1–C1.6, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / N8.5, N6.6, N7.6, N8.6, N8.7,
WM3.5, WM5.6,
AM2.6, WM5.6, WM4.6,
AM2.7 / N5.3, N6.1, N6.2, N6.3, N7.3,
WM5.2, WM5.4,
WM6.1, WM6.3, WM6.4, WM7.1
4 – 5 / Number – 2 Exponential notation
2.1 Product and quotient of powers
2.2 Zero index
2.3 Power of a power
2.4 Power of a product [HW2.1]
2.5 Power of a quotient
2.6 Negative indices
2.7 Fractional indices [HW2.2]
Options

Speeding Zone, Investigation: The von Koch snowflake, Laugh Zone, Maths in Action: Scales based on powers of 10, Assessment task: Liquid loss, and Worksheets: R2.1–R2.6; C2.1–C2.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ A18b.6, N6.6, N8.6, A18a.6, N6.7, N8.7,
WM4.5, AM2.6, WM3.6, WM5.6, WM4.6 / A6.1, N6.1, N6.3, N6.4, N7.1, N7.3,
WM5.4, WM6.1,
WM6.2, WM6.3, WM6.4
5 – 6 / Measurement – 3 Measurement
3.1 Areas – composite shapes and applications
3.2 Surface area [HW3.1]
Options
Assessment task: Pizza prices, Maths@Work: Town planner, Investigation: Area of an ellipse, Laugh Zone, Investigation: Volumes of tapered solids, and Worksheets: R3.1 – R3.3, C3.1–C3.2, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / M10a.5, M10b.5, M9a.6, M9b.6, M11.6, M10a.6, M9.7, M10a.7, M10b.7,
WM3.6, WM5.6 / M5.4a, M5.4b, M6.1, M6.2, M6.3, M6.4a, M7.1, M7.4a, M7.4b,
WM6.2, WM6.3
7 – 10 / Chance and Data – 10 Data
10.1 Posing questions
10.2 Sampling and population
10.3 Interpreting data [HW10.1]
10.4 Cumulative frequency
10.5 Finding the median
10.6 Grouped data
10.7 Mean and mode – grouped data [HW10.2]
10.8 Median – grouped data
Options
Investigation: Football rivalry, Laugh Zone, and Worksheets: R10.1–R10.6; C10.1, C10.2, C10.4, C10.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D13a.5, C&D13a.6, C&D13b.6, C&D14.6, C&D13a.7, C&D13b.7, C&D14.7 / C&D5.2, C&D6.2, C&D6.3, C&D6.4, C&D7.2, C&D7.3, C&D7.4

Term 2

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 3 / Measurement – 4 Trigonometry
4.1 Trigonometric ratios
4.2 Using a scientific calculator
4.3 Finding lengths [HW4.1]
4.4 Finding angles
4.5 Directions and bearings[HW4.2]
4.6 Multi-step two-dimensional problems
4.7 Solving three-dimensional problems [HW4.3]
Options
Investigation: Measuring height when the base length is unknown, Speeding Zone, Investigation: An alternative formula for the area of a triangle, Assessment task: Aeroplane sightings, Laugh Zone,Maths in Action: Mercator’s projection, and Worksheets: R4.1–R4.4; C4.1–C4.6, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / M9a.6, M9b.6, M10a.6, M10b.6, M10a.7, M10b.7, M10.8, AM2.6/AM2.7 / M6.1, M6.2, M6.4a, M6.4b, M7.4a, M7.4b, M8.4,
WM6.1/WM7.1
4 – 5 / Number – 2 Exponential notation
2.8 Simplifying surds
2.9 Surds and the Distributive Law
2.10 Exponential relationships [HW2.3]
Options

CAS investigation: Surds made simple, Investigation: Radioactive decay, and Worksheets: R2.1–R2.6; C2.9 – C2.12, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ N6.6, N8.6, A18a.6, N6.7, N8.7, A18a.7, A18b.6, A17b.6, A18b.7,
A17b.7 / N6.1, N6.3, N6.4, N7.1, N7.3, N7.4, A6.1, A6.3, A7.1, A7.3
5 – 8 / Algebra – 5 Expanding and factorising
5.1 Expanding two factors
5.2 Special cases for expanding two factors
5.3 Expanding three factors [HW5.1]
5.4 Factorising – common factors
5.5 Factorising – difference of two squares
5.6 Factorising – perfect squares [HW5.2]
5.7 Factorising by grouping
Options
Speeding Zone, Assessment task: The firefighter's ladder, Investigation: Proving generalisations, Graphics calculator investigation: Checking expansions,Maths in Action: Boolean algebra, Investigation: How to square two-digit numbers quickly – without a calculator, and Worksheets: R5.1–R5.7; C5.1–C5.2, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A18b.6, A18b.7, A17a.7, A19.7, A18b.8,
WM3.6, WM5.6, AM2.7, WM3.7, WM5.7 / A6.1, A7.1, A7.2, A7.4a, A8.1,
WM6.2, WM6.3, WM7.1, WM7.2, WM7.3
8 – 10 / Space – 7 Space
7.1 Parts of circles
7.2 Circle geometry
7.3 Arc length [HW7.1]
7.4 Compass constructions
Options
Speeding Zone, Laugh Zone, Investigation: Circle proofs, Investigation: Arcs on a sphere, Assessment task: Triangles and circles, Computer investigation: Constructing regular polygons by line, Computer investigation: Constructing regular polygons by angle, and Worksheets: R7.1–R7.5; C7.1–C7.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / S15b.6, S16.6, S15b.7, S16.7 / S6.2, S6.4, S7.2, S7.4

Term 3

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 2 / Measurement – 3 Measurement
3.3 Volume
3.4Volume applications – capacity, density and concentration
[HW3.2]

Options

Speeding Zone, and Worksheets: R3.1–R3.3; C3.3–C3.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / M9a.6, M10a.6, M9.7, M10a.7, M10b.7 / M6.1, M6.4a, M7.1, M7.4a, M7.4b
2 – 4 / Algebra – 5 Expanding and factorising
5.8 Factorising quadratic trinomials
5.9 Factorising by completing the square [HW5.3]
5.10 Multiplying and dividing algebraic fractions
5.11 Adding and subtracting algebraic fractions [HW5.4]
Options
Computer investigation: Factorising using null values, Laugh Zone, and Worksheets: R5.1–R5.7; C5.3–C5.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A18b.7, A17b.7,
A18b.8 / A7.1, A7.3, A8.1
5 – 8 / Algebra – 6 Linear relationships
6.1 Linear equations
6.2 Gradient
6.3 Midpoint of an interval
6.4 Distance between two points [HW6.1]
6.5 Sketching linear graphs
6.6 Gradient and angle
6.7 Lines of best fit [HW6.2]
Options
Maths@Work: Editor, Assessment task: Describing linear relationships, Investigation: Gradients of curves, Graphics calculator investigation: The art of linear relationships, Investigation: Point–gradient form of a line, and Worksheets: R6.1–R6.6; C6.1–C6.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A18b.6, A17a.6, A17b.6, A19.6, A17a.7, A17b.7, A19.7,
WM3.6, WM3.7 / A6.1, A6.2, A6.3, A6.4, A7.2, A7.3, A7.4a,
WM6.2, WM7.2
8 – 9 / Space – 7 Space
7.5 Tessellations
7.6 Networks [HW7.2]
Options
Investigation: Optimal pathways, Maths@Work: Operations manager, and Worksheets: R7.1–R7.5; C7.4 – C7.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / S15a.6, S15b.6, S16.6, S15a.7, S15b.7, S16.7 / S6.1b, S6.2, S6.4, S7.1b, S7.2, S7.4
9 – 10 / Chance and Data – 9 Chance
9.1 Probability, complement and long-run proportion
9.2 Multiple events
9.3 Simulation
Options
Speeding Zone, Maths in Action: Did you bet on that?, Graphics calculator investigation: Investigating the reliability of lie detectors, Assessment task: Poker machines, and Worksheets: R9.1–R9.4; C9.1–C9.3, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D12.6, C&D12.7, C&D13a.7,
AM2.6, AM2.7, WM5.6/WM5.7 / C&D6.1, C&D7.1, C&D7.2, WM6.1, WM7.1, WM6.3/WM7.3

Term 4

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 2 / Chance and Data –10 Data
10.9 Box-and-whisker plots
10.10 Measures of spread
10.11 Comparing sets of data [HW10.3]
Options
Speeding Zone, Graphics calculator investigation: Height and gender, Assessment task: Freeways and real estate, Maths in Action: John Graunt – Father of statistics, and Worksheets: R10.1–R10.6; C10.3–C10.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D13a.6, C&D13b.6, C&D14.6, C&D13a.7, C&D13b.7, C&D14.7,
WM5.6/WM5.7 / C&D6.2, C&D6.3, C&D6.4, C&D7.2, C&D7.3, C&D7.4,
WM6.3/WM7.3
2 – 5 / Algebra – 6 Linear relationships
6.8 Solving simultaneous equations graphically
6.9 Solving simultaneous equations algebraically – elimination
6.10 Solving simultaneous equations algebraically – substitution
[HW6.3]
6.11 Solving problems using simultaneous equations
6.12 Linear inequalities
6.13 Graphing linear inequalities [HW6.4]
Options
Speeding Zone, Laugh Zone, and Worksheets: R6.1–R6.6; C6.6–C6.11, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A18b.7, A19.7 / A7.1, A7.4a, A7.4b
5 – 8 / Algebra – 8 Relationships and variation
8.1 Solving quadratic equations
8.2 The quadratic formula
8.3 Sketching parabolas [HW8.1]
8.4 Direct variation
8.5 Inverse variation [HW8.2]
Options
CAS investigation: Equation of a tangent, Investigation: Superkick, Investigation: A pendulum experiment, Maths in Action: Staying alive, Investigation: Area under a graph, Assessment task: Kepler's law of planetary motion, Speeding Zone, Laugh Zone,and Worksheets: R8.1–R8.5; C8.1–C8.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A17a.6, A17b.6, A19.6, A17a.7, A17b.7, A19.7, WM5.6, WM3.7, WM5.7, WM4.7, WM3.8 / A6.2, A6.3, A6.4, A7.2, A7.3, A7.4a,
WM6.3, WM7.2, WM7.3, WM7.4, WM8.2
9 – 10 / Chance and Data – 9 Chance
9.4 Venn diagrams
9.5 Addition principle
9.6 Multiplication principle
9.7 Probability tree diagrams [HW9.2]
Options
Laugh Zone,Investigation: Fingerprint probabilities, and Worksheets: R9.1–R9.4; C9.4–C9.9, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D12.6, C&D12.7,
AM2.6, AM2.7, WM5.6/WM5.7 / C&D6.1, C&D7.1, WM6.1, WM7.1, WM6.3/WM7.3

Year 10 Program- Example B (Developed using entire chapters)

Term 1

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 3 /

Number - 1 Finance

1.1 Paying the bills
1.2 Compound interest
1.3 Loans [HW1.1]
1.4 Compound interest by formula
1.5 Depreciation
1.6 The effect of inflation on profit and loss [HW1.2]
Options
Maths in Action: The dream home, Investigation: Should we buy another car?,Computer investigation: Bank statements, Speeding Zone, Laugh Zone, Assessment task: How effective are investments? and Worksheets: R1.1–R1.5; C1.1–C1.6, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / N8.5, N6.6, N7.6, N8.6, N8.7,
WM3.5, WM5.6,
AM2.6, WM5.6, WM4.6,
AM2.7 / N5.3, N6.1, N6.2, N6.3, N7.3,
WM5.2, WM5.4,
WM6.1, WM6.3, WM6.4, WM7.1
4 – 5 / Measurement -3 Measurement
3.1 Areas – composite shapes and applications
3.2 Surface area
3.3 Volume
3.4 Volume applications – capacity, density and concentration
Options
Assessment task: Pizza prices, Maths@Work: Town planner, Investigation: Area of an ellipse, Laugh Zone, Investigation: Volumes of tapered solids, Speeding Zone, and Worksheets: R3.1–R3.3; C3.1–C3.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / M10a.5, M10b.5, M9a.6, M9b.6, M11.6, M10a.6, M9.7, M10a.7, M10b.7,
WM3.6, WM5.6 / M5.4a, M5.4b, M6.1, M6.2, M6.3, M6.4a, M7.1, M7.4a, M7.4b,
WM6.2, WM6.3
6 / Revision – Chapters 1 and 3
Chapter reviews, Replays, Chapter assignments, Mixed revision one and two, Worksheets: R1.6–R1.17; R3.4–R3.7
7 / Test 1:Finance and Measurement
7 / Assignment 1: Selected from the options of Chapters 1 and 3
8 – end of term / Number - 2 Exponential notation
2.1 Product and quotient of powers
2.2 Zero index
2.3 Power of a power
2.4 Power of a product [HW2.1]
2.5 Power of a quotient
2.6 Negative indices
2.7 Fractional indices [HW2.2]
2.8 Simplifying surds
2.9 Surds and the Distributive Law
2.10 Exponential relationships [HW2.3]
Options

Speeding Zone, Investigation: The von Koch snowflake, Laugh Zone, Maths in Action: Scales based on powers of 10, Assessment task: Liquid loss, CAS investigation: Surds made simple, Investigation: Radioactive decay, and Worksheets: R2.1–R2.6; C2.1–C2.12, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ A18b.6, A17b.6, A18b.7, A17b.7, N6.6, N8.6, A18a.6, N6.7, N8.7, A18a.7,
WM4.5, AM2.6, WM3.6, WM5.6,
WM4.6 / A6.1, A6.3, A7.1, A7.3, N6.1, N6.3, N6.4, N7.1, N7.3, N7.4,
WM5.4, WM6.1,
WM6.2, WM6.3, WM6.4

Term 2

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 3 /

Measurement - 4 Trigonometry

4.1 Trigonometric ratios
4.2 Using a scientific calculator
4.3 Finding lengths [HW4.1]
4.4 Finding angles
4.5 Directions and bearings[HW4.2]
4.6 Multi-step two-dimensional problems
4.7 Solving three-dimensional problems [HW4.3]
Options

Investigation: Measuring height when the base length is unknown, Speeding Zone, Investigation: An alternative formula for the area of a triangle, Assessment task: Aeroplane sightings, Laugh Zone,Maths in Action: Mercator’s projection, and Worksheets: R4.1–R4.4; C4.1–C4.6, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ M9a.6, M9b.6, M10a.6, M10b.6, M10a.7, M10b.7, M10.8,
AM2.6/AM2.7 / M6.1, M6.2, M6.4a, M6.4b, M7.4a, M7.4b, M8.4,
WM6.1/WM7.1
4 – 6 /

Algebra - 5 Expanding and factorising

5.1 Expanding two factors
5.2 Special cases for expanding two factors
5.3 Expanding three factors [HW5.1]
5.4 Factorising – common factors
5.5 Factorising – difference of two squares
5.6 Factorising – perfect squares [HW5.2]
5.7 Factorising by grouping
5.8 Factorising quadratic trinomials
5.9 Factorising by completing the square [HW5.3]
5.10 Multiplying and dividing algebraic fractions
5.11 Adding and subtracting algebraic fractions [HW5.4]
Options
Speeding Zone, Assessment task: The firefighter's ladder, Investigation: Proving generalisations, Graphics calculator investigation: Checking expansions,Maths in Action: Boolean algebra, Investigation: How to square two-digit numbers quickly – without a calculator, Computer investigation: Factorising using null values, Laugh Zone, and Worksheets: R5.1–R5.7; C5.1–C5.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A18b.6, A18b.7, A17a.7, A17b.7, A19.7, A18b.8,
WM3.6, WM5.6, AM2.7, WM3.7, WM5.7 / A6.1, A7.1, A7.2, A7.3, A7.4a, A8.1,
WM6.2, WM6.3, WM7.1, WM7.2, WM7.3
7 / Revision – Chapters 2, 4 and 5
Chapter reviews, Replays, Chapter assignments, Mixed revision one and two, Worksheets: R2.7 – R2.14, R4.5
8 / Test 2:Exponential notation, Trigonometry, Expanding and factorising
8 / Assignment2: Selected from the options of Chapters 2, 4, 5
9 – end of term / Space - 7 Space
7.1 Parts of circles
7.2 Circle geometry
7.3 Arc length [HW7.1]
7.4 Compass constructions
7.5 Tessellations
7.6 Networks [HW7.2]
Options

Speeding Zone, Laugh Zone, Investigation: Circle proofs, Investigation: Arcs on a sphere, Assessment task: Triangles and circles, Computer investigation: Constructing regular polygons by line, Computer investigation: Constructing regular polygons by angle, Investigation: Optimal pathways, Maths@Work: Operations manager, and Worksheets: R7.1–R7.5; C7.1–C7.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ S15a.6, S15b.6, S16.6, S15a.7, S15b.7, S16.7 / S6.1b, S6.2, S6.4, S7.1b, S7.2, S7.4

Term 3

week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 5 / Algebra - 6 Linear relationships
6.1 Linear equations
6.2 Gradient
6.3 Midpoint of an interval
6.4 Distance between two points [HW6.1]
6.5 Sketching linear graphs
6.6 Gradient and angle
6.7 Lines of best fit [HW6.2]
6.8 Solving simultaneous equations graphically
6.9 Solving simultaneous equations algebraically (elimination)
6.10 Solving simultaneous equations algebraically (substitution) [HW6.3]
6.11 Solving problems using simultaneous equations
6.12 Linear inequalities
6.13 Graphing linear inequalities [HW6.4]
Options

Maths@Work: Editor, Assessment task: Describing linear relationships, Investigation: Gradients of curves, Graphics calculator investigation: The art of linear relationships, Investigation: Point–gradient form of a line, Speeding Zone, Laugh Zone, and Worksheets: R6.1–R6.6; C6.1–C6.11, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone.

/ A18b.6, A17a.6, A17b.6, A19.6, A18b.7, A17a.7, A17b.7, A19.7,
WM3.6, WM3.7 / A6.1, A6.2, A6.3, A6.4, A7.1, A7.2, A7.3, A7.4a, A7.4b,
WM6.2, WM7.2
6 / Revision – Chapters 6 and 7
Chapter reviews, Replays, Chapter assignments, Mixed revision three
7 / Test 3:Space and Linear relationships
7 / Assignment 3: Selected from the options of Chapters 6 and 7
8 – end of term / Chance and Data - 9 Chance
9.1 Probability, complement and long-run proportion
9.2 Multiple events
9.3 Simulation [HW9.1]
9.4 Venn diagrams
9.5 Addition principle
9.6 Multiplication principle
9.7 Probability tree diagrams [HW9.2]
Options
Speeding Zone, Maths in Action: Did you bet on that?, Graphics calculator investigation: Reliability of lie detectors, Assessment task: Poker machines, Laugh Zone,Investigation: Fingerprint probabilities, and Worksheets: R9.1–R9.4; C9.1–C9.9, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D12.6, C&D12.7, C&D13a.7,
AM2.6, AM2.7, WM5.6/WM5.7 / C&D6.1, C&D7.1, C&D7.2, WM6.1, WM7.1, WM6.3/WM7.3

Term 4

Week /

TOPIC

/ Outcomes
Progress Maps / Student Outcome Statements
1 – 3 / Algebra - 8 Relationships and variation
8.1 Solving quadratic equations
8.2 The quadratic formula
8.3 Sketching parabolas [HW8.1]
8.4 Direct variation
8.5 Inverse variation [HW8.2]
Options
CAS investigation: Equation of a tangent, Investigation: Superkick, Investigation: A pendulum experiment, Maths in Action: Staying alive, Investigation: Area under a graph, Assessment task: Kepler's law of planetary motion, Speeding Zone, Laugh Zone,and Worksheets: R8.1–R8.5; C8.1–C8.8, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / A17a.6, A17b.6, A19.6, A17a.7, A17b.7, A19.7, WM5.6, WM3.7, WM5.7, WM4.7, WM3.8 / A6.2, A6.3, A6.4, A7.2, A7.3, A7.4a,
WM6.3, WM7.2, WM7.3, WM7.4, WM8.2
3 – 6 / Chance and Data - 10 Data
10.1 Posing questions
10.2 Sampling and population
10.3 Interpreting data [HW10.1]
10.4 Cumulative frequency
10.5 Finding the median
10.6 Grouped data
10.7 Mean and mode – grouped data [HW10.2]
10.8 Median – grouped data
10.9 Box-and-whisker plots
10.10 Measures of spread
10.11 Comparing sets of data [HW10.3]
Options
Investigation: Football rivalry, Laugh Zone, Speeding Zone, Graphics calculator investigation: Height and gender, Assessment task: Freeways and real estate, Maths in Action: John Graunt – father of statistics, and Worksheets: R10.1–R10.6; C10.1–C10.5, eTutorials, eQuestions and Interactives/eTesters from eMaths Zone. / C&D13a.5, C&D13a.6, C&D13b.6, C&D14.6, C&D13a.7, C&D13b.7, C&D14.7,
WM5.6/WM5.7 / C&D5.2, C&D6.2, C&D6.3, C&D6.4, C&D7.2, C&D7.3, C&D7.4,
WM6.3/WM7.3
7 / Revision – Chapters 8 to 10
Chapter reviews, Replays, Chapter assignments, Mixed revision four
8 / Test 4:Relationships and variation, Chance, Data
8 – end of term / Background for Year 11
Revisit the topics already studied or any that were not completed during the year. The purpose being to consolidate and strengthen the students’ background for their Year 11 course/s of study.
For example: Tertiary Entrance Examination courses – a selection from the algebra chapters, the Common Assessment Framework courses – a selection from the number and measurement chapters.

Mathematics Year 10: ______

Task Summary Date: ______

Task Number / Cluster/
Strand / Task Description / Date
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35

Additional Codes:

O = Observation

C = Conversation

Mathematics Year 10: ______

Curriculum Audit - by task(Progress Maps) Date: ______

Cluster – Outcome/s and Aspects

Task Number

Appreciating Mathematics

Contextualise mathematics

Working Mathematically

Mathematical strategies
Apply and verify
Mathematical reasoning

Number

Understand numbers / Whole numbers and decimals
Fractions
Understand operations
Calculate

Measurement