Year 10 differentiated EASY START unit plans
Ian Lowe, MAV, 2008
By Year 10 the range of mathematical background of students in a typical class is enormous.
Some schools ignore this, and proceed as if it did not exist. They have all students buy the same,
academically-inclined, textbook and march them through it at a pace suited to the more able half of
the class. As a consequence there are many disengaged, disenchanted students some of whom
create massive behaviour disruptions. This disadvantages the more able, interested students, and
they are more inclined to under-perform.
This set of plans supports the proposal that genuinely mixed classes can be managed, to
everyone’s advantage. It starts with the assumption that the class includes students who are
working towards VELS Standards 4, 5 and 6. It is done so that a single teacher can meet the
learning needs of all students. The goal is neither to keep them different or make them the
same, but to enable all to reach as much of their potential as possible in the time available.
Those who are working towards Standard 4 are likely to pursue mathematics in VCAL (Victorian
Certificate of Applied Learning), VET (Vocational Education and Training) or VCE Foundation
Mathematics. They have the need for practical, hands-on, real-world-focused mathematics. The
major source of study is printed units from the CD Maths at Work (engaging them in real-world
investigations) and the CD (or five books) Careers and Maths.
Those who are working towards Standard 5 are likely to pursue mathematics in a Year 11 General
Mathematics course with possible extension to Further Mathematics in Year 12. They also need
interesting relevant material, but it should cover the concepts at a greater depth than is needed for
the first group.
Those who are working towards Standard 6 are likely to pursue mathematics in General
Mathematics, Mathematical Methods and possible extension to Specialist Mathematics. These
students need a fully developed course, with understanding and an academic challenge that will
adequately prepare them for VCE success.
With the right selection of resources (possibly including a year-level textbook for the top level only)
these three groups can be managed in the same classroom. Flexibility is important; no student
should regard their initial level as fixed. Weaker students can be stimulated by the presence of
others who are doing more challenging work, particularly if it is also hands-on and engaging. This
can motivate them to try higher levels.
The plans below relate to teaching ideas (in Teach for Understanding, on this CD), investigations
for the entire class (RIME and Maths300), worksheets for all levels (Active Learning and Active
Learning 2) and software for all levels (Interactive Learning). For the topics of ratio, proportion,
scale and trigonometry, the sources are the units Hands-on Ratio, Hands-on Proportion and
Percentages, Hands-on Scale, and Hands-on Trigonometry. In 2011 the CD MApps (Maths
investigations in the real world) has been added. All these resources, including Maths at Work and
Careers and Maths and MApps (Maths Applications in the real world, are available from MAV.
The EASY START plans for Year 10 include suggested lesson-by-lesson plans for teachers
beginning this journey, without depending on a textbook. It is important to remember that these
suggested lessons, worksheets etc. are notional only. It is suggested that you start by
looking at these, but you should always feel free to modify and choose other resources for
your students. A more comprehensive list of suitable resources is available.
Assessment
Each unit includes two sources of multiple-choice items: NAPLAN items from previous tests, and
TIMSS items. Each is also hyperlinked to a spreadsheet for marking student responses.

“NAPLAN items” hyperlinks to a file that contains a list of the items related to that topic with
their answers. There are also hyperlinks to the ACARA website from which you may download
the previous years’ tests. You will need to print these out and physically cut and paste the
items to make a pre-test for your students. This cannot be prepared for you electronically for
copyright reasons.
Blue = free hyperlink, black = book, no hyperlink

2
Red = MAV product hyperlink
“TIMSS items” (Trends in International Mathematics and Science Study) hyperlinks to a set of
items that are topic-related. These are similar to NAPLAN, but written for Years 4 and 8 –
usually on separate pages.
Lesson warm-ups
At the start of each unit there are two forms of daily warm-up activity.

“Numeracy games (cards or dice)” hyperlinks to an instruction file for teacher use. These
games offer practice of number skills. They do not take the place of understanding.

“10 quick questions (decimals)” hyperlinks to a spreadsheet for an interactive whiteboard to
give students some skill practice with numbers. They do not take the place of understanding.
Summary of plans for Year 10
The plan allows 3 weeks per topic (say 12 lessons of ~50 minutes or 9 lessons of ~70 minutes).
There is enough here for a wide range of levels, from basic work to more extended material. For
the upper level (only), a conventional textbook might be added as a suitable resource.
Towards VELS 4
Towards VELS 5
Towards VELS 6
Study VELS 4
leading to VCAL, VET or
Foundation Maths
Study VELS 5
leading to General Maths
and Further Maths
Study VELS 6
leading to General Maths,
Mathematical Methods &
Specialist Maths
1 Data: Surveys & money
Univariate data
Univariate & bivariate data
2 Number: Fractions,
decimals and percentages
Ratios, fractions, decimals
and percentages
Ratios, fractions, decimals
and percentages
3 Structure: Representing
change graphically
Linear functions, graphs,
rules, factors, equations
Linear functions, graphs,
rules, factors, equations
4 Space: Shape
Shape in 2D
Shape in 2D & 3D
5 Measurement: Practical
measurement & money
Formulas & Pythagoras’
theorem in 2D
Formulas & Pythagoras’
theorem in 2D & 3D
6 Structure:
Practical linear graphs
Quadratic functions, graphs,
rules, factors, equations
Quadratic functions, graphs,
rules, factors, equations
7 Number: Applications with
money & percentages
Proportion & percentages
Proportion & percentages
8 Structure:
Problems with real life data
Exponential functions
Exponential functions
9 Chance: Practical
experiments
Predict & experiment (single
events)
Predict & experiment (several
events)
10 Measurement: Volume,
surface area & money
Volume, surface area,
mass & density
Volume, surface area,
mass & density
11 Space: Practical space &
measurement
Trigonometry in 2D
Trigonometry in 2D & 3D
12 Structure: Exponential
models of real situations
Exponential functions, growth
& decay
Exponential functions, growth
& decay
3
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #1 Data (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Surveys and money
Univariate data
Univariate & bivariate data
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Survey – ABS Census in Schools or Active Learning (Measurement, Chance & Data) CD7, 8 or 19
Maths at Work
2 (Doing maths), or
3 (interpreting stats) or
4 (Describing with stats) or
7 Budgeting or
MApps: Drinking and driving
Teach for understanding
Chance & Data
#13 Data tables & displays
Active Learning (Measurement,
Chance & Data) CD34
Active Learning 2
(Measurement, Chance &
Data) D2
Teach for understanding
Chance & Data
#17 Summary statistics
ICT
Survey – ABS Census in Schools or Active Learning (Measurement, Chance & Data) CD7, 8 or 19
Maths at Work
2 (Doing maths), or
3 (interpreting stats) or
4 (Describing with stats) or
7 Budgeting or
MApps: Drinking and driving
Teach for understanding
Chance & Data
#14 Summary statistics
Active Learning (Measurement,
Chance & Data) CD35
Active Learning 2
(Measurement, Chance &
Data) D6
Teach for understanding
Chance & Data
#18 Bivariate data
ICT
Survey – ABS Census in Schools or Active Learning (Measurement, Chance & Data) CD7, 8 or 19
Maths at Work
2 (Doing maths), or
3 (interpreting stats) or
4 (Describing with stats) or
7 Budgeting or
MApps: Drinking and driving
Teach for understanding
Chance & Data
#14 Summary statistics
Active Learning (Measurement,
Chance & Data) CD36 or 37
Active Learning 2
(Measurement, Chance &
Data) D11
Teach for understanding
Chance & Data
#18 Bivariate data
ICT
Blue = free hyperlink, black = book, no hyperlink
4
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Univariate: AFL heights, Aust netball scores, Birthplaces & languages,
Family types – Victoria, Incomes, Marital status, Netball heights, Heights of teenagers,
Age pyramids, Stemplot, B2B stemplot, Boxplot, Parallel boxplots
Bivariate: Young adults, Two-way relating, Rank-order correlation, Scatterplot & correlation,
Breast-feeding and death, Line of fit, Sampling lines of fit
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
Foul Foodmaker, Healthy life survey , Home internet survey , Leisure survey, Rice crisp machine,
Matchbox machine
Other
http://argyll.epsb.ca/jreed/math9/strand4/centralTendency.htm
http://www.aaaknow.com/sta418x5.htm#section2
http://www.aaaknow.com/sta518x2.htm#section2
http://www.aaaknow.com/sta418x2.htm#section2
http://www.aaaknow.com/sta518x3.htm#section2
http://www.aaaknow.com/sta418x4.htm#section2
http://www.aaaknow.com/sta518x4.htm#section2
http://argyll.epsb.ca/jreed/math9/strand4/boxNwhisker.htm
http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850X&chapter=6&lesson=1
http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850X&chapter=6&lesson=2
5
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #2 Number (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Fractions, decimals and
percentages
Ratios, fractions, decimals
and percentages
Ratios, fractions, decimals
and percentages
Numeracy warm-up games (cards or dice)
Assessment: NAPLAN items (previous tests)
10 quick questions (decimals)
TIMSS items
Open-ended investigation: Maths300 #9 First principles percent
Maths at Work #7 Budgeting
Hands On Proportion and percentages lesson 12
or MApps: Food energy
Hands On Proportion and percentages activities set L
or Having fun with maths
ICT
Hands On Proportion and percentages lesson 13
Maths at Work #7 Budgeting
Hands On Proportion and percentages activities set M
or MApps: Food energy
Hands On Proportion and percentages lesson 14
or Having fun with maths
ICT
Hands On Proportion and percentages activities set N
Maths at Work #7 Budgeting
Hands On Proportion and percentages lesson 15
or MApps: Food energy
Hands On Proportion and percentages activities set O
or Having fun with maths
ICT
Blue = free hyperlink, black = book, no hyperlink
6
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Estimate to multiply, Estimate multiplying, Estimate one-digit divide, Estimate to divide,
Division fact rounding, Repeating decimals, Ten-clocks, Decimals to fractions, Scientific notation,
Whole number operations, Decimal operations, Multiplying any numbers, Divide by tenths
Being paid, PAYG tax, Personal budget, Credit card1, Credit card2, Hire purchase, Personal loan,
Compound interest, Mortgage, Car rental, Used car, Energy use
Ratio on a number line, Fractions to percentages, Spirograph, Estimating ratios, Right-angled
triangles, Sharing by ratio, Proportion, Orange cordial, Proportional cordial, Annuity, Being paid,
Reducing balance loan, Tax return, Personal loan, Car rental, Proportion triangles
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
Decimaster, Wishball, Divide it up, Integer cruncher, Hopper, School canteen, The multiplier,
The divider, Design briefs, Fraction fiddle, Dynamic tools, Squirt, Scale matters, Take-away bars,
Difference bars, Measures, Foul Foodmaker
Other
http://visualfractions.com/FindGrampy.html
http://visualfractions.com/RenameLowest.html
http://www.aaamath.com/B/g66a_ax1.htm
http://visualfractions.com/AddEasyCircle.html
http://matti.usu.edu/nlvm/nav/frames_asid_106_g_2_t_1.html
http://matti.usu.edu/nlvm/nav/frames_asid_106_g_2_t_1.html
http://www.learnalberta.ca/content/mec/html/index.html?launch=true
http://www.quia.com/mc/473209.html
http://www.quia.com/mc/473210.html
http://www.quia.com/rr/106470.html
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=912654083&AP_acti
vityType=3&AP_urlId=381605&AP_continuePlay=true&id=381605
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=44731178&AP_activi
tyType=3&AP_urlId=381606&AP_continuePlay=true&id=381606
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=1667158873&AP_ac
tivityType=3&AP_urlId=381608&AP_continuePlay=true&id=381608
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=364514393&AP_acti
vityType=3&AP_urlId=381612&AP_continuePlay=true&id=381612
http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850X&chapter=3&lesson=1
7
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #3 Structure (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Representing change
Linear functions, graphs,
rules, factors, equations
Linear functions, graphs,
rules, factors, equations
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Open-ended investigation: Maths300 #40 Four arm shapes
Careers And Maths - Supply
(Credit Union)
or
MApps:
Bike distances & speed
Teach for understanding
Structure #3 Functions
Active Learning 2
(Number and Algebra) A3
Active Learning (Number and
Algebra) A7
Teach for understanding
Structure #4 Functions
ICT
Open-ended investigation: RIME (Algebra) A2 Rollers
Careers And Maths - Supply
(Credit Union)
or
MApps:
Bike distances & speed
Teach for understanding
Structure #9 Identities
Active Learning 2
(Number and Algebra) A5a
Active Learning
(Number and Algebra) A8
Teach for understanding
Structure #10 Identities
ICT
Open-ended investigation: Maths300 #41 Heads and legs
Careers And Maths - Supply
(Credit Union)
or
MApps:
Bike distances & speed
Teach for understanding
Structure #7 Equations
Active Learning
(Number and Algebra) A5b
Active Learning
(Number and Algebra) A9
Teach for understanding
Structure #8 Equations
ICT
Blue = free hyperlink, black = book, no hyperlink
8
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Linear:
Match shapes, Order and powers, Finding a linear rule, One-day cricket, Table
tennis, Tennis, Formula guessing, Graph guessing, Step size – lines, Recursion
graphs
Identities:
Strips and squares, Expanding, Factorising, Common factors, Equivalent
expressions, Equivalent formulas, Quadratic factors, Quadratic factors 1, 2, 3,
Think-number puzzles,
Difference of squares, Exponent rules
Equations:
Guess & check, Equations by program, Equations (Strips&squares), Two equal
expressions, Equivalent equations, Forward and backtracking, Tickets,
Diophantine equations
Simultaneous: SimGraph, Intersecting curves, Cramer’s rule, Integer inequalities
Quadratic:
Quadratic graphs, Ball toss, Projectiles,
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
Mobile phones, Lifting loads, Bridge builder, Triathlon, Filling glasses, Biscuit factory
Other
http://www.ronblond.com/M10/lineAP/index.html
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm
http://math.com/school/subject2/S2U4Quiz.html
http://www.sosmath.com/algebra/solve/solve1/s11/s1111/s1111.html
http://argyll.epsb.ca/jreed/math9/strand2/equation_methods.htm
http://argyll.epsb.ca/jreed/math8/strand2/2101.htm#l1
http://www.learnalberta.ca/Launch.aspx?content=%2fcontent%2fmec%2fhtml%2findex.html
http://explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=109
http://library.thinkquest.org/20991/quizzes/alg/q2/test.html
http://www.bbc.co.uk/education/mathsfile/shockwave/games/equationmatch.html
http://matti.usu.edu/nlvm/applets/controller/query/query.htm?qt=algebra+balance+scales
http://www.math.com/school/subject2/S2U3Quiz.html
9
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #4 Space (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Shape
Shape in 2D
Shape in 2D & 3D
Numeracy warm-up games (cards or dice)
Assessment: NAPLAN items (previous tests)
10 quick questions (decimals)
TIMSS items
Hands On Scale lesson 8 (Scales for maps and models)
Careers And Maths –
Community Services
(Hospital ward)
Teach for understanding
Space
#8 Angles & polygons
Hands On Scale
activities sets G and H
or MApps: Camera
Hands On Scale
activities sets G & H
Teach for understanding
Space
#10 Circle angle facts
ICT
Hands On Scale lesson 9 (Contour maps)
Careers And Maths –
Community Services
(Hospital ward)
or MApps: Camera
Teach for understanding
Space
#8 Angles & polygons
Hands On Scale
activities set I
Hands On Scale
activities set I
Teach for understanding
Space
#10 Circle angle facts
ICT
Hands On Scale lesson 10 (Slopes) or 11 (Course plotting)
Careers And Maths –
Community Services s
(Hospital ward)
Teach for understanding
Space
#8 Angles & polygons
Hands On Scale
activities seta J & K
or MApps: Camera
Hands On Scale
activities sets J & K
Teach for understanding
Space
#10 Circle angle facts
ICT
Blue = free hyperlink, black = book, no hyperlink
10
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Parabola envelope, Perspective, Triangle tessellation, Quadrilateral tessellation, Reflecting,
Rotating, Spirograph, Spirolateral, Reflection symmetry, Turn symmetry, Size change,
Strip patterns, Regular polygons, Star polygons, Triangle, Congruent triangles,
Cube Nets, Cylinder, Isometric boxes, Open box nets, Perspective, Pyramid,
Vertices-edges-faces
Quadrilateral diagonals, Hunting quadrilaterals, Triangle, Lines inside a circle, String ellipse,
Parabola envelope, Special points in triangles, Trammel, Perpendicular bisectors,
Angle bisectors, Midpoint locus, Projectiles, Wave, Cycloid, Spirals
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
Viewfinder, Journey planner, Building site, Viewfinder, Photo hunt, Contours, Building site, View
finder, Photo hunt
Other
http://members.shaw.ca/ron.blond/Circle.Geom1.APPLET/index.html
http://members.shaw.ca/ron.blond/Circle.Geom2.APPLET/index.html
http://members.shaw.ca/ron.blond/Circle.Geom3.APPLET/index.html
http://nlvm.usu.edu/en/nav/frames_asid_308_g_4_t_4.html?from=category_g_4_t_4.html
http://www.mathsnet.net/geometry/solid/cube.html
http://www.mathsnet.net/geometry/solid/prism4.html
http://www.mathsnet.net/geometry/solid/rotatingviews.html
http://www.mathsnet.net/geometry/solid/rotatinghouses.html
http://www.fi.uu.nl/toepassingen/00247/toepassing_wisweb.en.html
http://www.mathsnet.net/geometry/solid/houses1.html
http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html
11
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #5 Measurement (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Practical measurement
and money
Formulas & Pythagoras’
theorem in 2D
Formulas & Pythagoras’
theorem in 2D & 3D
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Active Learning (Measurement, C&D) M68 Pythagorean dissections
Maths at Work #13 Leisure costs
or MApps: Solar House
Teach for understanding
Measurement #57 Pythagoras’ theorem
Active Learning (Measurement, C&D) M69
ICT
Active Learning (Measurement, C&D) M70 Pythagorean triples
Maths at Work #13 Leisure costs
or MApps: Solar House
Active Learning
(Measurement, C&D) M32
Active Learning
(Measurement, C&D) M71
Active Learning
(Measurement, C&D) M33
Active Learning
(Measurement, C&D) M72
ICT
Open-ended investigation: Maths300 #157 Pythagoras and other polygons
Maths at Work #13 Leisure costs
or MApps: Solar House
Active Learning
(Measurement, C&D) M49
Active Learning
(Measurement, C&D) M73
Active Learning
(Measurement, C&D) M51
Active Learning
(Measurement, C&D) M54
ICT
Blue = free hyperlink, black = book, no hyperlink
12
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Squares and triangle, Pythagoras, Pythagorean triples
Conversions, Rectangle, Rectangle area, Metric conversions, W,H,A&P, Some areas, Quad areas,
Cuboids, Box volumes, Boxes, Calendar, Clock, Time calculations,
Perspective, Prism, Cylinder, Pyramid, Truncated pyramid, Cone, Truncated cone, Solar house,
Max volume cone, Volume of pyramid, Decibels, Surface area to volume, Pyramid and cone,
Floating, Day of year, Earth-moon
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
Area of triangles, Area of compound shapes, Inside cubes, Measures
Other
standards.nctm.org/document/eexamples/index.htm
6.5 Understanding the Pythagorean Relationship Using Interactive Figures
http://illuminations.nctm.org/Activities.aspx Pythagorean theorem
http://www.ronblond.com/M10/rootAP/index.html
http://www.ies.co.jp/math/java/geo/pythasvn/pythasvn.html
http://www.ies.co.jp/math/java/geo/pytha2/pytha2.html
http://www.ies.co.jp/math/java/geo/pythafv/pythafv.html
http://www.ies.co.jp/math/java/geo/pythasx/pythasx.html
http://www.ies.co.jp/math/java/geo/pitha1/pitha1.html
http://www.ies.co.jp/math/java/geo/pythafor/pythafor.html
http://www.ies.co.jp/math/java/geo/pythathr/pythathr.html
http://www.ies.co.jp/math/java/geo/pythashi/pythashi.html
http://matti.usu.edu/nlvm/nav/frames_asid_164_g_4_t_3.html?open=instructions
http://argyll.epsb.ca/jreed/math9/strand3/trigonometry.htm
http://argyll.epsb.ca/jreed/math9/strand3/pythagoras.htm
http://www.learnalberta.ca/Launch.aspx?content=%2fcontent%2fmec%2fhtml%2findex.html
http://www.bbc.co.uk/skillswise/numbers/measuring/perimeterareaandvolume/arearectangle/quiz.s
html
http://www.shodor.org/interactivate/activities/ShapeExplorer/
http://www.mathsnet.net/geometry/solid/nets.html
http://www.shodor.org/interactivate/activities/surfaceareaandvolume/
http://www.bbc.co.uk/skillswise/numbers/measuring/volume/quiz.shtml
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=1620683769&AP_ac
tivityType=3&AP_urlId=395681&AP_continuePlay=true&id=395681
http://argyll.epsb.ca/jreed/math9/strand3/trigonometry.htm
13
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #6 Structure (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Practical linear graphs
Quadratic functions,
graphs, rules, factors,
equations
Quadratic & cubic
functions, graphs, rules,
factors, equations
Numeracy warm-up games (cards or dice)
Assessment: NAPLAN items (previous tests)
10 quick questions (decimals)
TIMSS items
Open-ended investigation: RIME (Algebra) 20 Handshakes
Maths at Work
#28 Varying change
Teach for understanding
Structure #3 Functions
Active Learning
(Number & Algebra) A44
or MApps:
Taking the world’s temperature
Active Learning 2
(Number & Algebra) A7
Teach for understanding
Structure #4 Functions
ICT
Open-ended investigation: RIME (Algebra) 17 Triangle numbers
Maths at Work
#28 Varying change
Teach for understanding
Structure #9 Identities
Active Learning
(Number & Algebra) A58
or MApps:
Taking the world’s temperature
Active Learning 2
(Number & Algebra) A8
Teach for understanding
Structure #10 Identities
ICT
Open-ended investigation: RIME (Algebra) 11 Squares on a chessboard
Maths at Work
#28 Varying change
Teach for understanding
Structure #7 Equations
Active Learning
(Number & Algebra) A59
or MApps:
Taking the world’s temperature
Active Learning 2
(Number & Algebra) A9
Teach for understanding
Structure #8 Equations
ICT
Blue = free hyperlink, black = book, no hyperlink
14
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Linear:
Match shapes, Order and powers, Finding a linear rule, One-day cricket, Table
tennis, Tennis, Formula guessing, Graph guessing, Step size – lines, Recursion
graphs
Identities:
Strips and squares, Expanding, Factorising, Common factors, Equivalent
expressions, Equivalent formulas, Quadratic factors, Quadratic factors 1, 2, 3,
Think-number puzzles,
Difference of squares, Exponent rules
Equations:
Guess & check, Equations by program, Equations (Strips&squares), Tickets,
Two equal expressions, Equivalent equations, Forward and backtracking,
Diophantine equations
Simultaneous: SimGraph, Intersecting curves, Cramer’s rule, Inequalities
Quadratic:
Quadratic graphs, Ball toss, Projectiles,
Free applets from the internet
Other
http://argyll.epsb.ca/jreed/math9/strand2/factor2.htm
http://members.shaw.ca/ron.blond/QFA.CSF.APPLET/index.htm
15
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #7 Number (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Applications with money
and percentages
Proportion and
percentages
Proportion and
percentages
Numeracy warm-up games (cards or dice)
Assessment: NAPLAN items (previous tests)
10 quick questions (decimals)
TIMSS items
Open-ended investigation: RIME (Number) 33 Slopes
Maths at Work
#8 (Investment),
#9 (Inflation and insurance)
or #10 (Credit)
or MApps: Guitar
or Having fun with maths
Hands On Proportion and percentages
lesson 16
Proportion ‘tests’ of understanding
Hands On Proportion and percentages activities
set P
Applications of proportion
ICT
Hands On Proportion and percentages lesson 17 Solving proportion problems
Maths at Work
#8 (Investment),
#9 (Inflation and insurance)
or #10 (Credit)
or MApps: Guitar
or Having fun with maths
Hands On Proportion and percentages activities
set Q
More proportion applications
Hands On Proportion and percentages
lesson 18
Percentages as proportions
ICT
Hands On Proportion and percentages activities set R Solving percentage problems
Maths at Work
#8 (Investment),
#9 (Inflation and insurance)
or #10 (Credit)
or MApps: Guitar
or Having fun with maths
Hands On Proportion and percentages
lesson 19
Percentages changes
Hands On Proportion and percentages activities
set S
Solving percentage change problems
ICT
Blue = free hyperlink, black = book, no hyperlink
16
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Ratio on a number line, Fractions to percentages, Spirograph, Estimating ratios, Diide by tenths,
Right-angled triangles, Sharing by ratio, Proportion, Orange cordial, Proportional cordial, Annuity,
Proportion triangles, Being paid, Reducing balance loan, Tax return, Personal loan, Car rental
Free applets from the internet
Learning objects (FUSE – these links will locate one from a series; search on title)
The multiplier, The divider, Design briefs, Measures, Squirt, Foul Foodmaker
Other
http://visualfractions.com/FindGrampy.html
http://visualfractions.com/RenameLowest.html
http://www.aaamath.com/B/g66a_ax1.htm
http://visualfractions.com/AddEasyCircle.html
http://matti.usu.edu/nlvm/nav/frames_asid_106_g_2_t_1.html
http://matti.usu.edu/nlvm/nav/frames_asid_106_g_2_t_1.html
http://www.learnalberta.ca/content/mec/html/index.html?launch=true
http://www.quia.com/mc/473209.html
http://www.quia.com/mc/473210.html
http://www.quia.com/rr/106470.html
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=912654083&AP_acti
vityType=3&AP_urlId=381605&AP_continuePlay=true&id=381605
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=44731178&AP_activi
tyType=3&AP_urlId=381606&AP_continuePlay=true&id=381606
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=1667158873&AP_ac
tivityType=3&AP_urlId=381608&AP_continuePlay=true&id=381608
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=364514393&AP_acti
vityType=3&AP_urlId=381612&AP_continuePlay=true&id=381612
http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850X&chapter=3&lesson=1
17
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #8 Structure (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Problems with real life
data
Exponential functions
Exponential functions
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Maths at Work #31 Tower of Hanoi
Careers And Maths Supply
(Electricity company)
or MApps: Bungee
Teach for understanding Structure #3 and #4 Functions
Active Learning (Number & Algebra) A36
ICT
Maths at Work #31 Paper folding
Careers And Maths Supply
(Electricity company)
or MApps: Bungee
Teach for understanding Structure #9 and #10 Identities
Active Learning (Number & Algebra) A37
ICT
Maths at Work #31 Compound interest
Careers And Maths Supply
(Electricity company)
or MApps: Bungee
Teach for understanding Structure #7 Equations
Active Learning (Number & Algebra) A38
ICT
Blue = free hyperlink, black = book, no hyperlink
18
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Linear: Match shapes, Order and powers, Finding a linear rule, One-day cricket, Table tennis,
Tennis, Formula guessing, Graph guessing, Step size – lines, Recursion graphs
Identities: Strips and squares, Expanding, Factorising, Common factors, Equivalent expressions,
Equivalent formulas, Quadratic factors, Quadratic factors 1, 2, 3, Think-number puzzles,
Difference of squares, Exponent rules
Equations: Guess & check, Equations by program, Equations (Strips&squares), Tickets,
Two equal expressions, Equivalent equations, Forward and backtracking, Diophantine equations
Simultaneous: SimGraph, Intersecting curves, Cramer’s rule, Inequalities
Quadratic: Quadratic graphs, Ball toss, Projectiles,
Exponential: Paper folding, Exponential growth, Interest, Credit card, Annuity, Depreciation,
Exponential decay, Cooling, Mortgage, Constant area – rectangles, Swing, Sound waves
Free applets from the internet
Other
http://argyll.epsb.ca/jreed/math9/strand1/exponents_review.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws1.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws2.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws3.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm
http://www.mathsnet.net/algebra/b12.html
http://www.mathsnet.net/algebra/b13.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b16.html
http://www.quia.com/rr/180013.html?AP_rand=116100294
http://www.quia.com/mc/952631.html
http://www.quia.com/quiz/843646.html?AP_rand=102337977
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm
19
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #9 Chance (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Practical experiments
Predict & experiment
Predict & experiment
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Open-ended investigation: Maths300 #149 Sporting finals
Maths at Work
#16 (Combining chances),
#17 (Punting on ponies) or
#18 (Games of chance) or
MApps: Sports simulations
Teach for understanding
Chance & Data
#29 Understanding probability
Active Learning 2
(Measurement, Chance &
Data) C4
Active Learning
(Measurement, Chance &
Data) CD2, 3 or 10
Teach for understanding
Chance & Data
#33 Probability based on data
tables
ICT
Open-ended investigation: Maths300 #3 Dice differences
Maths at Work
#16 (Combining chances),
#17 (Punting on ponies) or
#18 (Games of chance) or
MApps: Sports simulations
Teach for understanding
Chance & Data
#30 Calculating simple
probabilities
Active Learning 2
(Measurement, Chance &
Data) C5
Active Learning
(Measurement, Chance &
Data) CD16 or 17
Teach for understanding
Chance & Data
#43 Estimating probability
based on experiments
ICT
Open-ended investigation: Maths300 #153 (Same or different) or #60 Game show
Maths at Work
#16 (Combining chances),
#17 (Punting on ponies) or
#18 (Games of chance) or
Teach for understanding
Chance & Data
#30 Calculating simple
probabilities
Active Learning 2
(Measurement, Chance &
Data) C7, 8 or 9
MApps: Sports simulations
Active Learning
(Measurement, Chance &
Data) CD17 or 18
Teach for understanding
Chance & Data
#43 Estimating probability
based on experiments
ICT
Blue = free hyperlink, black = book, no hyperlink
20
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Lotto, Marbles, Raffle, Spinner, Dice football, Dice totals, Beetle, One-day cricket, Tennis,
Tennis set, Table tennis, Rolling a 6, Tote bet, How many rolls, Cards, Chuck-a-luck, AFL finals,
Card collecting, Birthday, Exponential decay, Yowee, Several coins, Addition law, (no overlap),
Addition law (with overlap), Multiplication law, Coincidences, AIDS testing, Smith family,
Four marbles, Two cards, Quiz show, Betting on equal odds, Betting on unequal odds, Craps,
Free applets from the internet
Other
http://argyll.epsb.ca/jreed/math9/strand1/exponents_review.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws1.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws2.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws3.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm
http://www.mathsnet.net/algebra/b12.html
http://www.mathsnet.net/algebra/b13.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b16.html
http://www.quia.com/rr/180013.html?AP_rand=116100294
http://www.quia.com/mc/952631.html
http://www.quia.com/quiz/843646.html?AP_rand=102337977
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm
21
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #10 Measurement (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Volume, surface area and
money
Volume & surface area,
mass & density
Volume & surface area,
mass & density
Numeracy warm-up games (cards or dice)
10 quick questions (decimals)
Assessment: NAPLAN items (previous tests)
TIMSS items
Active Learning (Measurement, Chance & Data)
M35 (Volume by displacement, M37 (Melbourne’s water)
Maths at Work
#14 Service costs or
MApps: Heights
Teach for understanding
Measurement
#24-26 Capacity
Active Learning 2
(Measurement, C&D) M23
Active Learning
(Measurement, C&D) M34
Teach for understanding
Measurement
#34, 36 Volume, capacity &
surface area
ICT
Open-ended investigation: Maths300 #80 Cylinder volumes
Maths at Work
#14 Service costs or
MApps: Heights
Teach for understanding
Measurement
#30, 31 Volume & capacity
Active Learning 2
(Measurement, C&D) M32
Active Learning
(Measurement, C&D) M36
Teach for understanding
Measurement
#42 Mass & weight
ICT
Active Learning (Measurement, C&D) M58 Finding densities
Maths at Work
#14 Service costs or
MApps: Heights
Teach for understanding
Measurement
#32-35 Surface area & volume
Active Learning 2
(Measurement, C&D) M33
Active Learning
(Measurement, C&D) M38
Teach for understanding
Measurement
#44 Density
ICT
Blue = free hyperlink, black = book, no hyperlink
22
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Prism, Cylinder, Pyramid, Truncated pyramid, Cone, Truncated cone, Solar house, Floating,
Max volume of cone, Volume of pyramid, Decibels, Surface area to volume, Pyramid and cone,
Day of year, Earth-moon, Scale-Area-Volume, W,H,A&P, Box volume, Cuboids
Free applets from the internet
Learning objects
Area of triangles, Area of compound shapes, Inside cubes, Measures
Other
http://www.learnalberta.ca/Launch.aspx?content=%2fcontent%2fmec%2fhtml%2findex.html
http://www.bbc.co.uk/skillswise/numbers/measuring/perimeterareaandvolume/arearectangle/quiz.s
html
http://www.shodor.org/interactivate/activities/ShapeExplorer/
http://www.mathsnet.net/geometry/solid/nets.html
http://www.shodor.org/interactivate/activities/surfaceareaandvolume/
http://www.bbc.co.uk/skillswise/numbers/measuring/volume/quiz.shtml
http://www.quia.com/servlets/quia.activities.common.ActivityPlayer?AP_rand=1620683769&AP_ac
tivityType=3&AP_urlId=395681&AP_continuePlay=true&id=395681
Blue = free hyperlink, black = book, no hyperlink
23
Red = MAV product hyperlink
Year 10 #11 Space (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Practical space &
measurement
Trigonometry in 2D
Trigonometry in 2D & 3D
Careers And Maths –
Recreation
Hands On Trigonometry lesson 20
(i.e. Maths300 # 108 Trigonometry walk)
or MApps: Linkages or Conics
Hands On Trigonometry activities set T
Hands On Trigonometry lesson 21
Hands On Trigonometry activities set U
Hands On Trigonometry lesson 22
Hands On Trigonometry activities set V
ICT
Hands On Trigonometry lesson 23
Hands On Trigonometry activities set W
ICT
Blue = free hyperlink, black = book, no hyperlink
24
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Triangle trig, Trigcircle, Trigonometry, Venus, Triangle, River, Cliff top, Sun position, Daylight,
Great circle distance, Lissajous figures, Projectiles, Sundial, Sound waves
Free applets from the internet
Learning objects (FUSE) – these links will locate one from a series; search on title)
Trigonometry
Other
http://argyll.epsb.ca/jreed/math9/strand3/trigonometry.htm
http://argyll.epsb.ca/jreed/math9/strand3/trigonometry_calc.htm
http://argyll.epsb.ca/jreed/math9/strand3/trigonometry_calc.htm
http://members.shaw.ca/ron.blond/TLE/Trig.Solve.APPLET/
http://www.analyzemath.com/unitcircle/unitcircle.html
http://www.ies.co.jp/math/java/trig/ABCsinX/ABCsinX.html
http://www.mathlearning.net/learningtools/Flash/unitCircle/unitCircle.html
http://www.ies.co.jp/math/java/trig/sinBox/sinBox.html
http://www.ies.co.jp/math/java/trig/cosbox/cosbox.html
http://www.ies.co.jp/math/java/trig/tanbox/tanbox.html
25
Blue = free hyperlink, black = book, no hyperlink
Red = MAV product hyperlink
Year 10 #12 Structure (3 weeks)
Towards VELS 4
Towards VELS 5
Towards VELS 6
Exponential models of real
data
Exponential functions,
growth & decay
Exponential functions,
growth & decay
Numeracy warm-up games (cards or dice)
Assessment: NAPLAN items (previous tests)
10 quick questions (decimals)
TIMSS items
Open-ended investigation: Active Learning (Number & Algebra) A39 Paper sizes
Maths at Work
#31 Exponential change
Teach for understanding
Structure #4 Functions,
or MApps Betting TAB
and
Active Learning 2
(Number & Algebra) A18
Active Learning 2
(Number & Algebra) A17
Active Learning 2
(Number & Algebra) A21
Teach for understanding
Structure #4
ICT
Active Learning (Number & Algebra) A38 Applications of growth & decay
Maths at Work
#31 Exponential change
Teach for understanding
Structure #4 Functions,and
or MApps Betting TAB
Active Learning 2
(Number & Algebra) A19
Active Learning 2
(Number & Algebra) A17
Active Learning 2
(Number & Algebra) A23
Teach for understanding
Structure #4
ICT
Open-ended investigation: Maths300 #38 Painted cubes
Maths at Work
#31 Exponential change
or MApps Betting TAB
Teach for understanding
Structure #4 Functions, and
Active Learning 2
(Number & Algebra) A20
Active Learning 2
(Number & Algebra) A24
Active Learning 2
(Number & Algebra) A22
Teach for understanding
Structure #4
ICT
Blue = free hyperlink, black = book, no hyperlink
26
Red = MAV product hyperlink
ICT
Spreadsheets from Interactive Learning (MAV)
Linear:
Match shapes, Order and powers, Finding a linear rule, One-day cricket, Table
tennis, Tennis, Formula guessing, Graph guessing, Step size – lines,
Recursion graphs
Identities:
Strips and squares, Expanding, Factorising, Common factors, Equivalent
expressions, Equivalent formulas, Quadratic factors, Quadratic factors 1, 2, 3,
Think-number puzzles,
Difference of squares, Exponent rules
Equations:
Guess & check, Equations by program, Equations (Strips&squares), Tickets,
Two equal expressions, Equivalent equations, Forward and backtracking,
Diophantine equations,
Simultaneous: SimGraph, Intersecting curves, Cramer’s rule, Inequalities
Quadratic:
Quadratic graphs, Ball toss, Projectiles,
Exponential:
Paper folding, Exponential growth, Interest, Credit card, Annuity, Depreciation,
Exponential decay, Cooling, Mortgage, Constant area – rectangles, Swing,
Sound waves
Free applets from the internet
Other
http://argyll.epsb.ca/jreed/math9/strand1/exponents_review.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws1.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws2.htm
http://argyll.epsb.ca/jreed/math9/strand1/exponent_laws3.htm
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm
http://www.mathsnet.net/algebra/b12.html
http://www.mathsnet.net/algebra/b13.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b15.html
http://www.mathsnet.net/algebra/b16.html
http://www.quia.com/rr/180013.html?AP_rand=116100294
http://www.quia.com/mc/952631.html
http://www.quia.com/quiz/843646.html?AP_rand=102337977
http://argyll.epsb.ca/jreed/math9/strand1/sci_notation_operations.htm