SAM1000-Mathematics-resource

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Mathematics content knowledge outcomes checklist
Outcomes
Mathletics Topic
Mathletics Exercises
Maths in WA 1
Homework Book
Maths in WA 1
Course Book
Working Mathematically Students use mathematical thinking processes and skills in interpreting and dealing with mathematical and non-mathematical situations.
WM1
Check all answers carefully using methods such as estimation and checking reasonableness.
Number Students use numbers and operations and the relationships between them efficiently and flexibly.
N1
Write large and small numbers using numerals and
words
Whole numbers
N2
Write fractions and decimals in increasing or
decreasing order
Decimals
Fractions
N3
Add, subtract, multiply and divide whole numbers
and decimals using mental arithmetic and pen and
paper methods
Whole numbers
Decimals
Nearest 1000
Rounding numbers
Place value to millions
Decimal order
Decimals on a number line
Rounding decimals
Decimals to fractions 1
Decimals to fractions 2
Fractions to decimals
Unit fractions
Simplifying fractions
Equivalent fractions
Mixed numerals
Improper to mixed
Mixed to improper
Converting mixed and improper
Order of operations
Estimation – add and subtract
Estimation – multiply and divide
Long multiplication
Short division
Long division
Adding and subtracting decimals
Decimal by Decimal
1A
4-5
4A
5D
4C
3L
4I
88-89
91
100-101
3A
3B
1B, 1C, 1D, 1E, 1F,
1G,
1J,
1H, 1I,
4D, 4E,
4F, 4G, 4H
6-19,
92-99
Outcomes
Mathletics Topic
Mathletics Exercises
N4
Fractions
One take fractions
Add – no common denominator
Subtract – no common denominator
No common denominator
Fraction by whole number
Fraction of an amount
Multiplying fractions
Dividing fractions
Fraction word problems
Best Buy
Calculating percentages
Percentage of a quantity
Percentage increase and decrease
Simple interest
Rates word problems
Wages and salaries
Working overtime
Budgeting
Percentage word problems
Prime or composite
Highest common factor
Index notation
Add, subtract, multiply and divide fractions
N5
Perform calculations involving money using the
four operations
Money
N6
Express whole numbers as products of powers of
primes
Whole numbers
N7
Demonstrate effective and appropriate use of a
calculator and spreadsheet software
Across all areas.
Maths in WA 1
Homework Book
Maths in WA 1
Course Book
60-77
3C, 3D
3E, 3F
3I
3H
3K
Incorporated in
exercises on whole
numbers,
decimals,
percentages and
data.
102-104
2A, 2B, 2C, 2D, 2E,
2F
2H
32-39
Outcomes
Mathletics Topic
Mathletics Exercises
Maths in WA 1
Homework Book
Maths in WA 1
Course Book
Pre-algebra and Algebra Students use algebraic symbols, diagrams and graphs to understand and to reason.
A1
Order, add and subtract positive and negative
integers
Integers
A2
Plot points using Cartesian coordinates (four
quadrants)
Draw and interpret simple graphs showing
variation and relationships
Simplify simple algebraic expressions
Coordinates and graphs
A3
A4
A5
Solve simple linear equations (one occurrence of
the variable)
Coordinates and graphs
Basic algebra
Basic Algebra
A6
Use formulae to calculate values of variables
Basic Algebra
A6
Continue simple sequences of numbers or shapes,
explaining how to obtain the answer
Basic Algebra
Directed numbers
Ordering integers
Integers – multiply and divide
Integers – order of operations
More with integers
Ordered pairs
Reading values from a line
Graphing from a table of values
Recognising like terms
Like terms – add and subtract
Algebraic multiplication
Dividing expressions
Simplifying expressions
Simplifying with index laws
Expanding brackets
Checking solutions
Find the mistake
Find the missing number 2
Solving simple equations
Solving more equations
Simple substitution
Complex substitution
Find the pattern rule
Pattern rules and tables
2I,
2J,
2K, 2M, 2N, 2O
40-49
11B, 15G
288-293
396-397
398-399
407-411
424-429
15B, 15H, 15I,
15K, 15L,
16A, 16B,
16C,
16N,
16E, 16F, 16G,
16H,
432-441
16I, 16J, 16K, 16L,
16D
430-431
15A, 15C, 15D,
15E, 15F
388-395
Outcomes
Mathletics Topic
Mathletics Exercises
Maths in WA 1
Homework Book
Maths in WA 1
Course Book
Measurement Students use direct and indirect measurement and estimation skills to describe, compare, evaluate, plan and construct.
M1
Convert among units within the metric system eg
cm to m, kg to g
Metric system
M2
Determine the perimeter and area of rectangles,
parallelograms, triangles and circles and composite
shapes based on these.
Perimeter, Area and Volume
M3
Determine the volume of prisms and pyramids
Perimeter, Area and Volume
M4
Calculate duration using 12 and 24 hour time.
Metric system
M5
Explain and use time zones
Metric system
Converting units of length
Metres and kilometers
Kilometre conversions
Converting units of mass
Perimeter – squares and rectangles
Perimeter – triangles
Circumference – circles
Perimeter and circles
Area – squares and rectangles
Area – right triangles
Area – triangles
Area – circles
Area of shapes
Surface area – rectangular prisms
Volume – rectangular prisms 1
Volume – rectangular prisms 2
Volume – triangular prisms
Hours and minutes
Time mentals
24 hour time
Australian time zones
5A, 5E
116-123
8G,
5G
220-221
124-129
5H
130-133
6A, 6B, 6D, 6E,
152-163
6F, 6G,
6H
6J
164-171
6L
8A, 8B, 8C, 8D,
8E,
208-217
8F
218-219
Space Students describe and analyse mathematically the spatial features of objects, environments and movements.
S1
Identify and describe the properties of different
types of triangles, quadrilaterals and simple
polygons
2D and 3D geometry
S2
Interpret and create maps and plans, using legends
and scales.
Mapping
S3
Visualise, demonstrate and describe translations,
reflections, rotations and symmetry in the plane
2D and 3D geometry
Shapes
Plane figure terms
Sides, angles and diagonals
What line am I?
Labelling angles
Measuring angles
Classifying angles
Triangle tasters
Angle sum of a triangle
Labelling circles
Prisms and pyramids
Properties of solids
Faces edges and vertices
Nets
Map coordinates
Coordinate meeting place
More directions
Scale measurement
Symmetry or not?
Rotational symmetry
242
9G
7A
7C, 7D
7B, 7E, 7F, 7G
9A, 9B
9C, 9D
186-191
192-197
232-238
10A, 10D
10C,
264-266
270-274
10B
5J,
11A, 11C, 11D
267-269
134-138
294-299
12A, 12B, 12C,
12D, 12E, 12F
312-321
Outcomes
Mathletics Topic
Mathletics Exercises
Maths in WA 1
Homework Book
Maths in WA 1
Course Book
Chance and Data Students use their knowledge of chance and data handling processes in dealing with data and with situations in which uncertainty is involved.
C1
C2
C3
C4
Determine mean, median and range and use these
measures to compare data sets
Analyse collections of univariate data including the
use of tables and graphical displays
Analyse collections of bivariate data including the
use of tables and graphical displays
Construct sample spaces for single step
experiments with equally likely outcomes and use
them to assign probabilities
Statistics
Coordinates and graphs
Coordinates and graphs
Probability
Mean
Mode
Mode from frequency tables
Median
Median from frequency tables
Finding the average
Picture graphs
Frequency histograms
Venn diagrams
Sector graph calculations
Step graphs
Travel graphs
What are the chances?
Probability scale
Simple probability
Complementary events
Probability tables
How many combinations?
14E
362-368
14D
14F
14A, 14B, 14C, 14G
352-361
369-375
14H, 14I
13A, 13C, 13E,
332-340
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