Download 2017 Year7 Mathematics Course2 Program

Irene McCormack Catholic College
Mathematics Learning Area
Year 7 Mathematics
Course 2 Program
2017
Resource Materials
Year 7 Excel Workbook
Assessments
MATHS MASTERY
10%
TESTS (4)
20%
EPW (2)
10%
EXAM (Semester 1 Content Only)
8%
SUB TOTAL
48%
SEMESTER TWO
MATHS MASTERY
10%
TESTS (4)
20%
EPW (2)
10%
EXAM (Semester 1 & 2 Content)
12%
SUB TOTAL
52%
YEAR TOTAL
100%
Term 1
Week
1
Content
Number Revision
Australian Curriculum Content Descriptor
Whole numbers
Place value
Expanded Notation
The four operations
Order of operations
Problem solving with whole numbers.
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RESOURCES
Excel 7
Chapter 1
1.1 – 1.9
Five lessons each fortnight will begin with Maths Mastery.
Strategies for
addition, subtraction,
multiplication and
division
2
Apply the associative, commutative and distributive laws to aid mental and
written computation (ACMNA151)
Excel 7
Chapter 2
2.10 – 2.12
Special Numbers, Factors and Multiples
3
Special numbers
Squares and Square
roots
Identify and describe properties of prime, composite, square and triangular
numbers (ACMNA122)
Investigate and use square roots of perfect square numbers (ACMNA150)
Investigate index notation and represent whole numbers as products of
powers of prime numbers (ACMNA149)
4
TEST 1
Factors and Multiples
and Indices
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Divisibility
Factors, HCF and Multiples
Index Notation
Excel 7
Chapter 2
2.1 , 2.3, 2.4
Excel 7
Chapter 2
2.2, 2.5 – 2.9
Measurement
Connect decimal representations to the metric system (ACMMG135)
Units of length
5–6
Perimeter
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Additional
resources
Conversions
Solve problems involving the comparison of lengths and areas using
appropriate units (ACMMG137)
Additional
Resources
Establish the formulas for areas of rectangles, triangles and parallelograms
and use these in problem solving (ACMMG159)
EPW 1
Area
Solving Problems involving perimeter and area of shapes
Excel
Chapter 13
13.1 – 13.6
Composite Shapes
Calculate volumes of rectangular prism (ACMMG160)
7
Volume
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Solve multistep problems involving the volume of rectangular prisms.
Capacity
Excel Chapter
13
13.7 – 13.10
Integers
Compare, order, add and subtract integers (ACMNA280)
8 - 10
TEST 2
Integers and
operations on Integers
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Introduction to integers
Integers on Number lines
Addition and Subtraction of Integers
Excel
Chapter 11
11.1 – 11.6
Term 2
Week
Content
Australian Curriculum Content Descriptor
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1-2
NAPLAN Preparation
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Week 1: Review past NAPLAN papers for Non-Calculator
section and address appropriate strategies for solving these
style of questions for Number, Space, Measurement, Chance
and Data.
Week 2: Review past NAPLAN papers for Calculator section
and address appropriate strategies for solving these style of
questions for Number, Space, Measurement, Chance and
Data.
Resources
Past NAPLAN
papers
Resource
workbooks
Mathspace
Fractions
Compare fractions with related denominators and locate and
represent them on a number line (ACMNA152)
Express one quantity as a fraction of another, with and without the
use of digital technologies (ACMNA155)
Compare fractions with related denominators and locate and
represent them on a number line (ACMNA152)
3-5
TEST 3
W4
Solve problems involving addition and subtraction of fractions with the
same or related denominators (ACMNA153)
Excel
Chapter 4
4.1 – 4.12
Use technology:
Excel
Chapter 6
Multiply and divide fractions and decimals using efficient written
strategies and digital technologies (ACMNA154)
Use of technology technology
Angles and shapes
5-7
TEST 5
W6
7-8
9 – 10
EPW 2
W9
Identify corresponding, alternate and co-interior angles when two
straight lines are crossed by a transversal (ACMMG163)
Angles and lines
Investigate conditions for two lines to be parallel and solve simple
numerical problems using reasoning (ACMMG164)
Excel
Chapter 10
10.1 – 10.9
Exams and Exam revision
Demonstrate that the angle sum of a triangle is 180° and use this to
find the angle sum of a quadrilateral (ACMMG166)
Geometry and Shapes
Classify triangles according to their side and angle properties and
describe quadrilaterals (ACMMG165)
Excel
Chapter 12
12.1 – 12.7
Term 3
Week
Content
Australian Curriculum Content Descriptor
Assessments
Algebra
Introduce the concept of variables as a way of representing numbers using
letters (ACMNA175)
Extend and apply the laws and properties of arithmetic to algebraic terms
and expressions (ACMNA177)
1-3
Algebra
4
Test
5
Algebra and the Cartesian
Plane
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Write algebraic expressions
Simplifying Algebraic expressions
Collecting like terms
Algebraic Abbreviations
Index notation
Substitution
Grouping – Connecting laws and properties of numbers to algebra
Problem solving with algebra
Create algebraic expressions and evaluate them by substituting a
given value for each variable (ACMNA176)
Given coordinates, plot points on the Cartesian plane, and find coordinates
for a given point (ACMNA178)
Investigate, interpret and analyse graphs from authentic data (ACMNA180)
Excel
Chapter 8
8.1 – 8.8
Excel
Chapter 11
11.11-11.15
Mathspace
Distance
Time graphs
Decimals, Percentages, Ratios and Rates
5–6
Decimals
Express one quantity as a fraction of another, with and without the use of
digital technologies (ACMNA155)
Mathspace
Rounding
Round decimals to a specified number of decimal places (ACMNA156)
Excel
Chapter 5
5.1 – 5.10
Multiply and divide fractions and decimals using efficient written
strategies and digital technologies (ACMNA154)
Connect fractions, decimals and percentages and carry out simple
conversions (ACMNA157)
7–9
Test 6
Percentages
Decimals
Ratios and Rates
Connect fractions, decimals and percentages and carry out simple
conversions (ACMNA157)
Find percentages of quantities and express one quantity as a percentage
of another, with and without digital technologies (ACMNA158)
Excel
Chapter 7
7.1 – 7.9
Investigate and calculate 'best buys', with and without digital
technologies (ACMNA174)
Recognise and solve problems involving simple ratios (ACMNA173)
Transformations and Visualisation
9 – 10
EPW 3
Transformations
Describe translations, reflections in an axis, and rotations of multiples of
90 degrees on the Cartesian Plane using coordinates.
Identify line and rotational symmetries.
Excel
Chapter 3
3.1 – 3.6
Term 4
Week
Content
Australian Curriculum Content Descriptor
Statistics and probability
Assessments
Identify and investigate issues involving continuous or large count
data collected from primary and secondary sources (ACMSP169)
Construct and compare a range of data displays including stem-andleaf plots and dot plots (ACMSP170)
1 -2
Statistics
Calculate mean, median, mode and range for sets of data. Interpret
these statistics in the context of data (ACMSP171)
Excel
Chapter 14
1.1 – 1.13
Describe and interpret data displays using median, mean and range
(ACMSP172)
3
Test 7
EPW 4
Assign probabilities to the outcomes of events and determine
probabilities for events (ACMSP168)
Probability
Construct sample spaces for single-step experiments with equally
likely outcomes (ACMSP167)
Excel
Chapter 14
1.14 – 1.18
Mathspace
Linear equations
Solve simple linear equations (ACMNA179)
4–6
Test 8
Equations
7
One step equations
Collecting like terms in equations
Two step equations
Problem solving with equations
Excel
Chapter 9
9.1 – 9.5
EXAM PREP WEEK
Transformations and visualisation
Draw different views of prisms and solids formed from combinations
of prisms (ACMMG161)
8/9
3 D VIEWS
Exam 2
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Excel
Chapter 3
3.7 – 3.10
Year 7 Achievement Standard
Number and Algebra
By the end of Year 7 students solve problems involving the comparison, addition and subtraction of integers. They make the
connections between whole numbers and index notation and the relationship between perfect squares and square roots.
Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage
of another. They solve problems involving percentages and all four operations with fractions and decimals. They compare the
cost of items to make financial decisions. Students represent numbers using variables. They connect the laws and properties for
numbers to algebra. They assign ordered pairs to given points on the Cartesian plane. They interpret simple linear
representations and model authentic information. They solve simple linear equations and evaluate algebraic expressions after
numerical substitution.
Measurement and Geometry
Students describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They
solve simple numerical problems involving angles formed by a transversal crossing two lines. Students use formulas for the area
and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They
name the types of angles formed by a transversal crossing parallel lines.
Statistics and Probability
Students identify issues involving the collection of continuous data. They construct stem-and-leaf plots and dot plots. They describe
the relationship between the median and mean in data displays. They calculate mean, mode, median and range for data sets.
Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those
outcomes.