Download Pearson Mathematics 7 Teaching Plan Year 7 Level Description At

Pearson Mathematics 7 Teaching Plan
Year 7 Level Description
At this year level:
Understanding includes describing patterns in uses of indices with whole numbers; recognising commonalities between fractions,
decimals, percentages and ratios; plotting points on the Cartesian plane; identifying angles formed by a transversal crossing of a pair of
parallel lines; and connecting the laws and properties of numbers to algebraic terms and expressions
Fluency includes calculating accurately with integers, representing fractions and decimals in various ways, investigating best buys,
evaluating measures of central tendency and calculating areas of shapes and volumes of prisms
Problem Solving includes formulating and solving authentic problems using numbers and measurements, creating transformations and
identifying symmetry, calculating angles and interpreting sets of data collected through chance experiments
Reasoning includes applying the number laws to calculations, applying known geometric facts to draw conclusions about shapes,
applying an understanding of ratio and interpreting data displays
Year 7 Achievement Standard
By the end of Year 7, students interpret integers in real-world contexts. They make connections between whole numbers and index
notation. They move flexibly between representations of fractions, decimals and percentages. Students generalise using variables, solve
simple linear equations and identify points on a Cartesian plane. They compare costs of items to make financial decisions. Students
investigate questions involving the collection of a range of data. They calculate mean, mode, median and range for sets of data and
describe the relationship between median and mode in data displays. Students classify triangles and quadrilaterals and establish the
formulas for the area and perimeter of rectangles. They calculate the volume of rectangular prisms and draw and build threedimensional objects. They identify angles formed by a transversal through parallel lines and describe transformations on the Cartesian
plane.
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
1
Term 1
Week
1
Content
Whole numbers
1.1 Mental strategies
1.2 Indices
1.3 Strategies for
multiplication and
division
Exercises
Recall 1
1.1
1.2
1.3
Half-time 1
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2
3
1.4 Estimating and
rounding
1.5 Orders of
operations
1.4
1.5
1.6 Mixed whole
number problems
1.6
Chapter Review 1
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Additional Tasks
Homework
OTS Game: Greed
M4R: Numbers around the
world
OTS Problem Solving:
Teacher’s Age
Investigation: How many
squares on a chess board?
OTS Puzzle: Wizard maths
Skills/Practice
Sheet 1A
OTS Game: Estimating
frustration
OTS Problem Solving: Four 4s
= 100?
Mathspace: Operations theatre
Skills/Practice
Sheet 1B
OTS Problem solving: ninehundred and ninety nine
Challenge 1
Skills/Practice
Sheet 1C
Digital Resources
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Video: Numbers 101
Interactive Lesson: Squares
and square roots, cubes
and cube roots
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Interactive Lesson: Mixed
arithmetic problems
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Number puzzle drag and
drop
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Powers of numbers drag
and drop
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Addition and subtraction
bingo
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Multiplication and division
bingo
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Countdown
Order of operations drag
and drop
Order of operations tool
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AC Content
Descriptor
ACMNA149
ACMNA 150
ACMNA 151
ACMNA 156
ACMNA 177
ACMNA 177
Revision
Assessment
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
2
4
5
6
7
7
cont.
Integers
2.1 Multiples, factors
and divisibility
2.2 Primes and
composites
2.3 Prime factors
Recall 2
2.1
2.2
2.3
Half-time 2
2.4 Introduction to
integers
2.5 Adding and
subtracting positive
integers
2.6 Adding and
subtracting
negative integers
2.4
2.5
2.6
2.7 Simplifying addition
and subtraction
2.7
Chapter 2 Review
Recall 3
3.1
3.2
3.3
Revision
Assessment
Fractions
3.1 Understanding
fractions
3.2 Working with
fractions
3.3 Estimating and
comparing fractions
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Try this: The sieve of
Eratosthenes
OTS Puzzle: Gold digger
Mathspace: Factorpillar
M4R: Prime numbers and
encryption
Skills/Practice
Sheet 2A
Skills/Practice
Sheet 2B
OTS Puzzle: Temperature
tangle
OTS problem solving: The
slippery snail
Investigation: Heat beads and
ice blocks
Skills/Practice
Sheet 2C
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OTS puzzle: pattern sums
Challenge 2
Mixed Review A
Skills/Practice
Sheet 2D
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OTS Puzzle: Fractionally funny
fiction
OTS Puzzle: What fractions are
we?
OTS Game: Flatlining
Skills/Practice
Sheet 3A
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ACMNA149
ACMNA 280
ACMNA 280
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Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Interactive Lesson:
Multiples, factors and
powers I
Interactive Lesson:
Multiples, factors and
powers II
Prime number starter
Factor tree tool
Interactive Lesson:
Negative numbers
Directed numbers drag and
drop
Addition and subtraction of
integers drag and drop
Interactive lesson: Ordering
fractions
Fractions drag and drop
Equivalent fractions tool
Equivalent fractions drag
and drop
Fraction vocabulary
Equivalent fraction bingo
Matching equivalent
fractions
Improper fraction bingo
ACMNA152
ACMNA 155
3
8
9
3.4 Adding and
subtracting fractions
3.5 Multiplying
fractions
3.6 Dividing fractions
3.7 Mixed fraction
problems
3.4
Half-time 3
3.6
3.7
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10
Revision
Assessment
OTS Game: Race to 10
M4R: Musical fractions
Investigation: Tangram teaser
OTS Game: Fringo!
Mathspace: Fractured Ravine
board game
Skills/Practice
Sheet 3B
OTS Problem solving: Fill in
the blanks
Technology Exploration Word:
The evil genie and the curse of
the infinite fraction
OTS Problem solving: Megaequivalents
Challenge 3
Skills/Practice
Sheet 3C
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Video: Maths and rhythm
Interactive lesson: Adding
and subtracting fractions
Adding and subtracting
fractions tool
Multiplying fractions and
mixed numbers tool
ACMNA152
ACMNA153
ACMNA154
ACMNA152
ACMNA153
ACMNA154
ACMNA155
Chapter Review 3
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
4
Term 2
Week
1
Content
Decimals, percentages
and ratio
4.1 Place value and
comparing decimals
4.2 Rounding decimals
4.3 Decimals and
fractions
Exercises
Recall 1
4.1
4.2
4.3
Additional Tasks
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OTS Game: Duelling decimals
OTS Puzzle: What are the
neighbours having for dinner?
Homework
Skills/Practice
Sheet 4A
Digital Resources
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2
4.4 Decimal addition and
subtraction
4.5 Decimal
multiplication
4.6 Decimal division
4.4
4.5
Half-time 4
4.6
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OTS Game: Closer than you
Investigation: Ten dollars and
eighty-nine cents
OTS Game: Multiplicity
OTS Problem solving: Magic
squares
M4R: Perplexing prices
Skills/Practice
Sheet 4B
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3
4.7 Percentages,
fractions and decimals
4.8 Using percentages
4.9 Ratio
4.7
4.8
4.9
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OTS Problem solving: The
great half-price sale
Mathspace: Our global village
Skills/Practice
Sheet 4C
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Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
AC Content
Descriptor
Interactive lesson: Ordering
decimals
Interactive lesson: Ordering
decimals on the numberline
Interactive lesson:
Rounding numbers
Interactive lesson:
Rounding decimals
Writing fractions as
decimals drag and drop
Interactive lesson: Whole
number and decimal
operations
Interactive lesson:
Operations on decimals
including division
Operations with decimals
drag and drop
Money arithmetic drag and
drop
Multiplication and division
by a decimal drag and drop
ACMNA152
ACMNA 156
ACMNA 157
Video: Ratio of biscuits to
cakes
Interactive lesson:
Changing fractions into
decimals and percentages
Percentages to fractions
and decimals I drag and
drop
Percentages to fractions
and decimals II drag and
drop
ACMNA 157
ACMNA 158
ACMNA 173
ACMNA152
ACMNA153
ACMNA154
ACMNA 156
ACMNA 157
ACMNA 173
ACMNA 174
5
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4
5
4.10 Rates
Revision
4.10
Chapter
review 4

5.1 Pronumerals and
variables
5.2 Terms, expressions
and equations
5.3 Using rules
Recall 1
5.1
5.2
5.3
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5.4 Formulas and
substitution
5.5 Patterns and rules
5.4
5.5
Half-time 5
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
OTS Problem solving: Happy
numbers
Challenge 4
Mixed review B
Skills/Practice
Sheet 4D
OTS Puzzle: We all scream for
ice-cream
OTS Problem solving: Cutting
string
Skills/Practice
Sheet 5A
Fractions and decimals to
percentages drag and drop
Percentages of an amount
tool
Fractions, decimals and
percentages bingo
Percentage of an amount
bingo
ACMNA 173
ACMNA 174
Assessment
Algebra
6
7
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OTS Game: Dicey formulas
OTS Puzzle: Puzzling tables
Investigation: Richie’s
restaurant
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8
5.6 Simplifying
expressions with addition
and subtraction
5.7 The Cartesian plane
5.8 Patterns and plotting
points
5.6
5.7
5.8
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OTS Puzzle: Latin squares
Technology exploration Excel:
Age matters
OTS Game: Line up
M4R: Maths Meets Art
OTS Puzzle: Gridlock
Mathspace: Spy vs Spy
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Skills/Practice
Sheet 5B
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Interactive lesson: Writing
algebraic expressions
Algebraic abbreviations
drag and drop
Substitution drag and drop
ACMNA 175
ACMNA 176
ACMNA 177
Interactive lesson:
Substitution into formula
Interactive lesson:
Sequences
Substitution bingo
Pronumerals and rules drag
and drop
Match patterns drag and
drop
Number patterns drag and
drop
Interactive lesson: Simple
operations on algebraic
expressions
Interactive lesson:
Coordinates
Collecting like terms tool
Collecting like terms bingo
Plotting coordinate drag
and drop
ACMNA 175
ACMNA 176
ACMNA 177
ACMNA 175
ACMNA 177
ACMNA 178
6

9
5.9 Interpreting graphs
Revision
10
Assessment
5.9
Chapter Review
5


OTS Puzzle: Solve the grid
Challenge 5
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Skills/Practice
Sheet 5C
Simplifying algebraic
expressions drag and drop
ACMNA 175
ACMNA 178
ACMNA 180
7
Term 3
Week
1
Content
Measurement
6.1 Units of length
6.2 Perimeter
6.3 Area
Exercises
Recall 6
6.1
6.2
6.3
Half-time 6
Additional Tasks



OTS Problem solving: Ram’s
rules
OTS Game: Blaze a trail
Investigation: Paddocks
Homework
Skills/Practice
Sheet 6A
Digital Resources
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2
3
6.4 Area of a
parallelogram
6.5 Area of triangles and
composite shapes
6.6 Volume
Skills/Practice
Sheet 6B
6.4
6.5
6.6
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4
Revision
Assessment
Linear equations
Chapter review
6
5
7.1 Number sentences
7.2 Introduction to
equations
Recall 7
7.1
7.2
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OTS Problem solving: The
red cube
Mathspace: City mission
M4R: Landscape gardening
Investigation: Blocks of
chocolate
Challenge 6
Mixed review C
Skills/Practice
Sheet 6C
OTS Puzzle: Star quest
OTS Puzzle: The great
number mystery
Skills/Practice
Sheet 7A
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
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Video: Measurement 101
Interactive lesson:
Measurement
Interactive lesson: Area of
rectangles
Interactive lesson:
Measurement in real life
Area grid tool
Units of length drag and
drop
Perimeter 1 drag and drop
Perimeter 2 drag and drop
Area drag and drop
Interactive lessons: Area of
polygons
AC Content
Descriptor
ACMMG159
ACMMG159
ACMNA 159
ACMNA 160


Solving equations drag and
drop
Solving equations by
inspection drag and drop
ACMNA 178
ACMNA 179
8
6
7
7.3 Solving equations
using backtracking
7.4 Solving equations
using the balance
method
7.3
Half-time 7
7.4
7.5 Solving problems
with equations
7.5

Chapter
review 7

Revision
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8
OTS Puzzle: Gold digger 2
OTS problem solving: Paper
mountain
M4R: Dance party dilemma
Technology exploration
Excel: Algebra using a
spreadsheet
OTS Problem solving:
Algebraic puzzles
Investigation: The great
escape
Mathspace: The case of the
confusing clues
Challenge 7
Skills/Practice
Sheet 7B
M4R: Constructing angles
OTS Problem solving: Count
the angles
OTS Problem solving: Ella’s
angles
Technology exploration
GeoGebra: Investigating
angles on parallel lines
Investigation: Billiard ball
bounces
Puzzle: The hex is gone
Investigation: Angle sum of
polygons
Skills/Practice
Sheet 8A
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
Interactive lesson: Simple
linear equations
Interactive lesson: Letter
symbols in formulas
Balancing equations tool
Making sense of algebra
drag and drop
Skills/Practice
Sheet 7C
ACMNA 179
ACMNA 179
Assessment
Angles and shapes
9
10
8.1 Measuring,
estimating and drawing
angles
8.2 Classifying and
naming angles
8.3 Calculating angles
Recall 8
8.1
8.2
8.3
8.4 Angles and parallel
lines
8.5 Polygons
8.4
Half-time
8.5
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Skills/Practice
Sheet 8B
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Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Angles vocabulary drag and
drop
Angles on a straight line
tool
Angles around a point tool
Calculating angles drag and
drop
ACMNA 163
ACMNA 166
Angles about a point,
straight line and parallel
pairs game
Angles in parallel lines tool
Calculating angles on
parallel lines drag and drop
Calculating angles mixed
revision drag and drop
Types of angles drag and
drop
Recognising plane shapes
drag and drop
Testing the relations
between angles
ACMNA 163
ACMNA 165
ACMNA 166
9
Term 4
Week
1
Content
Exercises
Measurement
8.6 Triangles
8.7 Quadrilaterals
8.8 Compass
constructions
Additional Tasks
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OTS Puzzle: Eggs, spoons and
turtles
OTS Problem solving:
Quadrilateral quandry
Mathspace: Planet polygon
Challenge 8
Homework
Skills/Practice
Sheet 8C
Digital Resources
Interactive lesson:
Properties of shapes
Interactive lesson: Angles
in triangles and
quadrilaterals
Interactive lesson: Angles
in 2D shapes
Interactive lesson:
Properties of 2D shapes
Interactive lesson: Ruler
and compass construction
Properties of 2D shapes
drag and drop
Ruler, compass, protractor
tool
Triangle vocabulary
ACMNA 163
ACMNA 165
ACMNA
ACMNA
ACMNA
ACMNA

Video: AFL sports statistics
Interactive lesson:
Averages
Interactive lesson:
Comparing data
Olympic medals drag and
drops
Collecting data tool

Probability horse race
ACMNA 169
ACMNA 171
ACMNA 176
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2
3
Revision
Assessment
Statistics and
probability
9.1 Collecting data
9.2 Measures of centre
9.3 Graphing univariate
data
Chapter
review 8

Mixed review D
Recall 9
9.1
9.2
9.3

OTS Puzzle: Matchstick
puzzles
Mathspace: Crack the code
OTS Problem solving: Running
the race
OTS Puzzle: Number puzzles A
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4
9.4 Comparing parts of
a whole with graphs
9.5 Graphing bivariate
data
9.4
Half-time 9
9.5
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OTS Problem solving: Missing
pieces of the pie
Technology exploration Excel:
Finding statistics using
technology
OTS puzzle: Add it up
M4R: The 1-watt initiative
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Skills/Practice
Sheet 9A
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Skills/Practice
Sheet 9B
AC Content
Descriptor
169
171
172
176
10
5
9.6 Comparing data
sets
9.7 Probability and
sample space
9.6
9.7
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OTS puzzle: Number puzzles B
OTS game: Catch me if you can
Investigation: experimental
probability
Skills/Practice
Sheet 9C
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6
Revision
7
Assessment
7 cont
8
Transformations and
visualisation
10.1 Translations
10.2 Reflections
10.3 Rotations
10.4 Combined
transformations
10.5 Symmetry
Chapter
review 6

Challenge 9
Recall 10
10.1
10.2
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
OTS Puzzle: Jigsaw paradox
OTS problem solving: Mirror,
mirror on the wall
10.3
10.4
Half-time 10
10.5
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
OTS Puzzle: Tangram magic
Investigation: Diamonds are
forever
OTS problem solving:
Conway’s army
Technology exploration
GeoGebra: Transformations
OTS Problem solving:
Symmetry challenge
M4R: Snow logo
Mathspace: Ambigrams and
symmetry
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Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Video: Competition winners
Interactive lesson: Data
planning and collecting
Interactive lesson:
Interpretation of collected
data
Interactive lesson:
Comparing two simple data
distributions using charts
Interactive lesson: The
vocabulary of probability
Probability of simple events
drag and drop
Theoretical probability drag
and drop
Die tally tool
Spinner tally tool
Probability of spinners drag
and drop
ACMNA
ACMNA
ACMNA
ACMNA
ACMNA
167
168
169
172
176
ACMMG181
Skills/Practice
Sheet 10A
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Interactive lesson:
Transformations
Interactive lesson:
Transformations II
Tangram tool
Testing shapes for
symmetry tool
Symmetrical objects tool
Transformations tool
Rotational symmetry pairs
game
ACMMG181
11
9
10
10.6 Drawing and
visualising 3D shapes
10.7 Plan views and
elevations
10.6
10.7
Revision
Assessment
Chapter
review 10


OTS problem solving: What
comes next?
OTS problem solving: Bird’s
eye squares
Challenge 10

Mixed review E

Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
Skills/Practice
Sheet 10B



Interactive lesson:
Elevations and 3D
construction
Isometric sketching tool
Introducing plans and
elevations tool
ACMMG161
12
Key
OTS: Outside the square;
M4R: Maths4Real;
AC icon
Cross-curriculum priorities
Aboriginal and Torres Strait Islander histories and cultures
Asia; Australia’s engagement with Asia
Sustainability
General capabilities
Literacy
Numeracy
Information and communication technology (ICT)
competence
Critical and creative thinking skills
Ethical behaviour
Personal and social competence
Intercultural understanding
Copyright © Pearson Australia 2011 (a division of Pearson Australia Group Pty Ltd) ISBN 978 1 4425 4574 8
13