Download 2017 Year7 Mathematics Extension Program

Irene McCormack Catholic College
Mathematics Learning Area
Year 7 Mathematics
Extension Program
2017
Resource Materials
Year 7 Excel Extension Workbook
Mathspace
Assessments
SEMESTER ONE
TESTS (4)
24%
EPW (2)
16%
EXAM (Semester 1 Content Only)
8%
SUB TOTAL
48%
SEMESTER TWO
TESTS (4)
24%
EPW (2)
16%
EXAM (Semester 1 & 2 Content)
12%
SUB TOTAL
52%
YEAR TOTAL
100%
Term 1
Week
Content
1
Number Revision
2
Strategies for
Addition and
subtraction,
multiplication and
division
Australian Curriculum Content Descriptor


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

Whole numbers
Place Value, Sequences and Expanded Notation
Order of Operations
Multi Step Problem Solving with Whole Numbers
RESOURCES
Excel 7 Ext
Chapter 1
1.1 -1.9
Apply the associative, commutative and distributive laws to aid
mental and written computation (ACMNA151)
Solve Multi Step Problems
Special Numbers, Multiples and Factors

3
4
TEST 1
Special Numbers
Squares
Square roots
Factors and
Multiples
And Indices
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Identify and describe properties of prime, composite, square and
triangular numbers (ACMNA122)
Investigate and use square roots of perfect square numbers
(ACMNA150)
Square roots of Decimals (additional Resources needed)
Divisibilty
HCF
LCM (additional resources needed)
Index Notation
Investigate index notation and represent whole numbers as products
of powers of prime numbers (ACMNA149)
Excel 7
Chapter 2
2.1
2.3
2.4
Excel 7 Ext
1.12
Excel 7
Chapter 2
2.2, 2.5 -2.9
Additional
resources for
LCM
Excel 7 Ext
1.10-1.11
Measurement
Units of length
5-6
EPW 1
Perimeter
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
Connect decimal representations to the metric system (ACMMG135)
Unit Conversions

Solve problems involving the comparison of lengths and areas using
appropriate units (ACMMG137)
Solving Multi Step Problems


Area
7
Volume


Establish the formulas for areas of rectangles, triangles and parallelograms
and use these in problem solving (ACMMG159)
Solving Multistep Problems
Composite Shapes



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Calculate volumes of rectangular prism (ACMMG160)
Solving Multistep problems
Capacity
Inverse use of formula
Additional
Resources
Additional
Resources
Excel 7 Ext
Chapter 11
11.1-11.7
Excel 7 Ext
11.8-11.12
Integers
8-10
TEST 2
WK 8
Integers and
Operations on
Integers
Weeks
8-10
NAPLAN
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Compare, order, add and subtract integers (ACMNA280)
Multiplication and Division of Integers (Enrichment)
Order of operations
Multistep Problem Solving
One period per week to look at Problem solving style questions from past
NAPLAN papers.
Excel 7 Ext
Chapter 6
6.1-6.10
6.13
Term 2
Week
Content
Australian Curriculum Content Descriptor

1-2
NAPLAN Preparation

Week 1: Review past NAPLAN papers for NonCalculator 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)
Solve problems involving addition and subtraction of
fractions with the same or related denominators
(ACMNA153)
Multiply and divide fractions and decimals using
efficient written strategies and digital technologies
(ACMNA154)
Extract Information from word problems


Squares and √ of fractions
Use Technology

Identify corresponding, alternate and co-interior angles
when two straight lines are crossed by a transversal
(ACMMG163)
Investigate conditions for two lines to be parallel and solve
simple numerical problems using reasoning (ACMMG164)
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
3-5
TEST 3 WK
4
Fractions
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
Excel 7 Ext
Chapter 2
2.1-2.16
Use of
Technology
Chapter 5
5.1-5.7
Angles and shapes
Angles
6-7
TEST 4
Wk 6
7-8

Geometry and Shapes
EPW 2
Week 9
EXAM
Exams and exam revision

9-10
EPW 2 WK
9
Excel 7 Ext
Chapter 10
10.1-10.9

Demonstrate that the angle sum of a triangle is 180° and
use this to find the angle sum of a quadrilateral
(ACMMG166)
Classify triangles according to their side and angle
properties and describe quadrilaterals (ACMMG165)
Excel 7 Ext
Chapter 10
10.10-10.17
Term 3
Week
Content
Australian Curriculum Content Descriptor
RESOURCES
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)
Create algebraic expressions and evaluate them by
substituting a given value for each variable (ACMNA176)
Writing expressions
Simplifying Expressions
Substitution
Index Law
Expanding and Simplifying
Solving Problems
Algebra


1-3
o
o
o
o
o
o

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)
Distance Time tables and graphs Additional Resources
Rule from a table
Show a linear relationship Additional Resources

4
TEST 5
Algebra and the
Cartesian Plane
o
o
o
Excel 7 Ext
Chapter 7
7.1-7.10
Excel 7 Ext
Chapter 6
6.11, 6.12
MATHSPACE
Decimals, percentages and ratio and Rates


5-6
Decimals
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7-9
TEST 6
Percentage, Decimals,
Ratios and Rates

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Round decimals to a specified number of decimal places
(ACMNA156) Additional Resources
Connect fractions, decimals and percentages and carry out
simple conversions (ACMNA157)
Add and Subtract decimals
Multiply and divide fractions and decimals using efficient
written strategies and digital technologies (ACMNA154)
Multistep Problem Solving
Conversions
Find percentages of quantities and express one quantity as a
percentage of another, with and without digital technologies
(ACMNA158)
Recognise and solve problems involving simple ratios
(ACMNA173)
Investigate and calculate 'best buys', with and without digital
technologies (ACMNA174)
Show Full working in Proportional Relationships
Excel 7 Ext
Chapter 3
3.1 -3.9
MATHSPACE
Excel 7 Ext
Chapter 4
4.1 -4.10
MATHSPACE
Transformations and visualisation

9-10
EPW 3
Transformations
Describe Multiple translations, reflections in an axis, and
rotations of multiples of 90° on the Cartesian plane using
coordinates. Identify line and rotational symmetries
Excel 7 Ext
Chapter 9
9.3 -9.7
MATHSPACE
Term 4
Week
Content
Australian Curriculum Content Descriptor
Statistics and probability

1-2

Data Statistics
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3
Test 7
EPW 4
Data Probability
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
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-and-leaf plots and dot plots (ACMSP170)
Calculate mean, median, mode and range for sets of data.
Interpret these statistics in the context of data (ACMSP171)
Describe and interpret data displays using median, mean and
range (ACMSP172)
Compares Data (additional Resources)
Justify Changes(additional Resources)
Construct sample spaces for single-step experiments with equally
likely outcomes (ACMSP167)
Assign probabilities to the outcomes of events and determine
probabilities for events (ACMSP168)
Devises a single step experiment to determine probability
(additional resources)
Resources
Excel 7 Ext
Chapter 12
12.1-12.12
MATHSPACE
Excel 7 Ext
Chapter 12
12.14-12.18
MATHSPACE
Linear equations
4-6
Test 8
Equations

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
7
Excel 7 Ext
Chapter 8
8.1-8.7
MATHSPACE
EXAM PREP WEEK
Transformations and visualisation

8 -9
EXAM
Solve simple linear equations (ACMNA179)
Solve Multistep equations with variables on both sides
Grouping symbols
More than 3 step equations (Additional resources)
Validating solutions
Shapes and
Geometry

Draw multiple views of prisms and solids formed from
combinations of prisms (ACMMG161)
Interprets different views (Additional resources)
Excel 7 Ext
Chapter 9
9.8-9.12
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.