Download Year 7 Unit Plan 2016

YEAR 7 MATHEMATICS
UNIT:
TERM 1 YEAR 7
UNIT OVERVIEW:
Number
Measurement
ASSESSMENT:
MATHS MATE EXAM – Weeks 5 & 9/10
UNIT DETAILS:
Real Numbers
Measurement
TERM EXAM – Week 8/9
(fractions, decimals, percentages)
(area of rectangles, triangles, parallelograms)
Success Criteria
Strand
Australian Curriculum
Statement
(I know I’ve got it when I can
No
Learning Goal
successfully complete the following
exercises and teach someone else the
Additional Extension
Exercises
MEASUREMENT
REAL NUMBERS
concepts)
 Compare fractions using
equivalence. Locate and represent
fractions and mixed numerals on a
number line. ACMNA152
 Connect fractions, decimals and
percentages and carry out simple
conversions. ACMNA157
 Express one quantity as a fraction
of another with and without the use
of digital technologies.
ACMNA155
 Find percentages of quantities and
express one quantity as a percentage
of another, with and without digital
technologies. ACMNA158
 Establish the formulas for areas of
rectangles, triangles and
parallelograms and use these in
problem solving. ACMMG159
1
Represent and compare fractions and decimals
pictorially and on a number line.
Dwyer Textbook
Ex. 1.1
2
Classify and convert between types of fractions.
Compare and order fractions using equivalence.
Dwyer Textbook
Ex. 1.2, Investigation
1.3
3
Compare and convert between fractions, decimal
and percentages.
Dwyer Textbook
Ex. 1.6
4
Express one quantity as a fraction or percentage of
another.
Dwyer Textbook
Ex. 1.4
5
Calculate fraction and percentages of a quantity.
6
Determine formulas for areas of rectangles,
triangles and parallelograms and apply to problem
solving situations.
Dwyer Textbook
Ex. 1.3, 1.5
Dwyer Textbook
Ex. 2.1, 2.2, 2.4. 2.6,
2.7
7
Determine that the area of a triangle is half the area
of an appropriate rectangle.
Dwyer Textbook
Ex. 2.3
8
Apply area formula to calculate areas of composite
2-dimensional shapes.
Dwyer Textbook
Ex.2.5, 2.7
Dwyer Textbook
Ex. 1.12, 1.13
Chapter Review Ex
1.15, 1.16
Investigation 1.3
Pearson Mathematics 7
Ex. 3.1, 3.2, 3.3
Ex. 4.1, 4.3, 4.7
Maths Quest 7
Ex. 6.2, 6.3, Ch 7
Dwyer Textbook
Ex. 2.11, 2.12
Chapter Review
Ex 2.14, 2.15
Investigation 2.1, 2.2
Pearson Mathematics 7
Ex. 6.2, 6.3, 6.4, 6.5
Maths Quest 7
Ex. 9.5, 9.6
YEAR 7 MATHEMATICS
UNIT:
TERM 2 YEAR 7
UNIT OVERVIEW:
Number and Algebra
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/5 & 9/10
UNIT DETAILS:
Number and Place Value
Real Numbers
Patterns and Algebra
Linear and Non-Linear Relationships
TERM EXAM – Week 7/8/9
(laws and properties of arithmetic)
(operations involving fractions, equivalence)
(variables, algebraic expressions, substitution)
(simple linear equations)
Success Criteria
Strand
Australian Curriculum
Statement
(I know I’ve got it when I can
No
Learning Goal
successfully complete the following
exercises and teach someone else the
Additional Extension
Exercises
REAL NUMBERS
NUMBER &
PLACE
VALUE
concepts)
 Apply the associative,
commutative and distributive
laws to aid mental and
written computation.
ACMNA150
 Compare fractions using
equivalence. Locate and
represent fractions and mixed
numerals on a number line.
ACMNA152
 Solve problems involving
addition and subtraction of
fractions, including those
with unrelated denominators.
ACMNA154
 Multiply and divide fractions
and decimals using efficient
written strategies and digital
technologies. ACMNA154
1
2
3
4
5
6
7
Identify and apply the laws and properties of
arithmetic to simplify and solve algebraic
expressions (Commutative and Associative Laws).
Dwyer Textbook
Ex. 7.5, 7.6, 7.7, 7.8
Represent positive and negative fractions and
mixed numbers on a number line.
Evaluate, compare and order fractions using
equivalence.
Dwyer Textbook
Ex. 6.1
Dwyer Textbook
Ex. 6.1, 6.2
Represent the addition and subtraction of fractions
using diagrams.
Solve problems involving addition and subtraction
of fractions, including those with unrelated
denominators.
Represent the multiplication and division of
fractions using diagrams.
Solve problems involving the multiplication and
division of fractions.
Dwyer Textbook
Ex. 6.3, 6.4
Pearson Mathematics 7
Ex 1.1
Dwyer Textbook
Ex. 6.10, 6.11
Chapter Review Ex
6.13, 6.14
Pearson Mathematics 7
Ex. 1.5, Ch 3
C2C Basic Fraction
Quiz
Dwyer Textbook
Ex. 6.5, 6.6
G:\Coredata\Curriculum\MATHS\Y
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YEAR 7 MATHEMATICS
PATTERNS & ALGEBRA / LINEAR
RELATIONSHIPS
 Introduce the concept of
variables as a way of
representing numbers using
letters.
 Create algebraic expressions
and evaluate them by
substituting a given value for
each variable. ACMNA175
 Extend and apply the laws
and properties of arithmetic
to algebraic terms and
expressions. ACMNA177
 Solve simple linear equations.
ACMNA179
8
Define and apply the order of operations to
determine the value of an algebraic expression.
9
Define the concept of variables to represent
numbers using letters.
10
11
Dwyer Textbook
Ex. 7.1, 7.2
Dwyer Textbook
Ex. 7.12, 7.13
Chapter Review Ex
7.15, 7.16
Dwyer Textbook
Ex. 7.3
Pearson Mathematics 7
Ex 5.1 – 5.4, half time
review
Maths Quest 7
Ex. 8.2, 8.3, 8.4, 8.5
Write algebraic expressions of a word description.
Evaluate algebraic expressions by substituting a
given value for each variable.
Dwyer Textbook
Ex.7.4
G:\Coredata\Curriculum\MATHS\Y
R 7 MATHS\2015\TERM
2\RESOURCES
YEAR 7 MATHEMATICS
UNIT:
TERM 3 YEAR 7
UNIT OVERVIEW:
Number and Algebra
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/ 5 & 8/9
UNIT DETAILS:
Number and Place Value
Real Numbers
Linear and Non-Linear Relationships
TERM EXAM – Week 7/8/9
(index notation, square numbers, integers)
(fractions, decimals, percentages)
(Cartesian plane coordinates)
Success Criteria
NUMBER AND PLACE VALUE
Strand
Australian Curriculum
Statement
 Investigate index notation
and represent whole numbers
as products of powers of
prime numbers. ACMNA149
 Investigate and use square
roots of perfect square
numbers. ACMNA150
 Compare, order, add and
subtract integers. ACMNA280
No
1
Represent numbers using index notation.
2
Define and compare prime and composite
numbers.
Dwyer Textbook
Ex. 11.1, 11..2, 11.3,
Dwyer Textbook
Ex. 11.4, 11.5, 11.6, 11.7
3
Represent whole numbers as products of powers
of prime numbers.
Dwyer Textbook
Ex. 11.8, 11.9, 11.10
4
Define and represent square numbers and apply
square-root notation.
5
Investigate between which two whole numbers a
square root lies.
6
Define the term integer.
7
Evaluate, compare and order integers.
9
LINEAR
RELATIO
NSHIPS
complete the following exercises and
Additional Extension
Exercises
teach someone else the concepts)
8
 Given coordinates, plot
points on the Cartesian plane,
and find coordinates for a
given point. ACMNA178
Learning Goal
(I know I’ve got it when I can successfully
10
Dwyer Textbook
Ex.11.11, 11.12
Dwyer Textbook
Ex.9.1
Dwyer Textbook
Ex.9.2, 9.3
Represent the addition and subtraction of
integers using number lines.
Solve problems involving addition and
subtraction of integers.
Dwyer Textbook
Ex.9.4, 9.5, 9.6
Plot given points from a table and locate
coordinates on a Cartesian Plane.
Dwyer Textbook
Ex.9.7, 9.8, 9.9, 9.10
Dwyer Textbook
Ex. 11.16, 11.17
Investigation Exercises
Chapter Review
Ex 11.19, 11.20
Pearson Mathematics
Ex 1.2
Ex 2.1, 2.2, 2.3
Maths Quest 7
Ch 3
Dwyer Textbook
Ex. 9.11, 9.15, 9.16
Chapter Review
Ex 9.18, 9.19
Pearson Mathematics 7
Ex 2.4, 2.5, 2.6, 2.7
Ex 5.7, 5.8
Maths Quest 7
Ex. 2.2, 2.3, 2.6, 12.2,
12.3, 12.4
Ex. 15.3
REAL NUMBERS
YEAR 7 MATHEMATICS
 Compare and order fractions
using equivalence. Locate
and represent fractions and
mixed numerals on a number
line. ACMNA152
 Connect fractions, decimals
and percentages and carry out
simple conversions.
ACMNA157
 Express one quantity as a
fraction of another with and
without the use of digital
technologies. ACMNA155
 Find percentages of
quantities and express one
quantity as a percentage of
another, with and without
digital technologies.
ACMNA158
11
Compare and order fractions using
equivalence.
12
Compare and convert between fractions,
decimal and percentages.
13
Dwyer Textbook
Ex. 16.12, 16.13
Chapter Review
Ex 16.14, 16.15
(relevant questions)
Dwyer Textbook
Ex.16.4, 16.5
Maths Quest 7
Ch 6, Ch 7
Express one quantity as a fraction or percentage
of another.
Dwyer Textbook
Ex.16.6, 16.7
14
Calculate fraction and percentages of a quantity.
Pearson Mathematics 7
Ex 4.7, 4.8
YEAR 7 MATHEMATICS
UNIT:
TERM 4 YEAR 7
UNIT OVERVIEW:
Number and Algebra
Measurement and Geometry
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/5 & 8/9
UNIT DETAILS:
Patterns and Algebra
Linear and Non-Linear Relationships
Measurement
Geometric Reasoning
TERM EXAM – Week 7/8/9
(variables, algebraic expressions, substitution)
(solve simple linear equations)
(volume of rectangular and triangular prisms)
(classify angles, triangles, quadrilaterals, angle properties)
Success Criteria
MEASUREMEN
T
PATTERNS AND ALGEBRA /
LINEAR RELATIONSHIPS
Strand
Australian Curriculum
Statement
 Create algebraic
expressions and evaluate
them by substituting a given
value for each variable.
ACMNA175
 Extend and apply the laws
and properties of arithmetic
to algebraic terms and
expressions. ACMNA177
 Solve simple linear
equations. ACMNA179
 Calculate volumes of
rectangular prisms.
ACMMG160
 Develop the formulas for
volumes of rectangular and
triangular prisms and prisms
in general. Use formulas to
No
Learning Goal
(I know I’ve got it when I can successfully
complete the following exercises and
Additional Extension
Exercises
teach someone else the concepts)
Dwyer Textbook
Ex.12.1, 12.2, 17.1
1
Write algebraic equations of a word description.
2
Apply the balance method and backtrack to solve Dwyer Textbook
Ex. 12.2, 12.3, 17.2, 17.3
for the unknown variable in an algebraic
equation.
Ex. 125, 12.6
Evaluate algebraic equations by substituting a
given value for each variable.
Dwyer Textbook
Ex. 12.7, 17.7
4
Determine formulas for calculating volumes of
rectangular and triangular prisms.
Dwyer Textbook
Ex.8.1, 8.2
Dwyer Textbook 8
Ex. 17.8
5
Understand, apply and convert between cubic
units when calculating volume.
Dwyer Textbook
Ex. 8.5
3
Dwyer Textbook
Ex. 12.11, 12.11
Ex. 17.11, 17.12
Chapter Review
Ex. 12.14, 12.15
Ex. 17.14, 17.15
(relevant questions)
Pearson Mathematics 7
Chapter 7
Maths Quest 7
Ex. 8.6, 8.7 Ch 13
Dwyer Textbook
Ex. 8.9, 8.10
Investigation Exercises
8.1-8.4
Chapter Review
Ex 8.12, 8.13
YEAR 7 MATHEMATICS
GEOMETRY
solve problems involving
volume. ACMMG198
 Classify triangles
according to their side and
angle properties and
describe quadrilaterals.
ACMMB165
 Demonstrate that the angle
sum of a triangle is 180º and
use this to find the angle
sum of a quadrilateral.
ACMMG166
Dwyer Textbook
Ex. 8.3, 8.4
Dwyer Textbook 8
Ex 17.8
6
Apply volume formula to solve problems
involving volume of rectangular and triangular
prisms.
7
Define, measure, construct and classify angles.
8
Apply angle rules to calculate size of unknown
angles.
9
Identify side and angle properties of scalene,
isosceles, right-angled and obtuse-angled
triangles.
Dwyer Textbook
Ex. 13.8
Pearson Mathematics 7
Ex 6.6
Maths Quest 7
Ex. 9.7, 9.8
Dwyer Textbook
Ex. 13.6, 13.7
Ex. 13.14, 13.15
Investigation 13.4
Chapter Review
Ex 13.15, 13.16
Classify quadrilaterals in terms of angle and side
properties.
Apply the angle sum of a triangle and
quadrilateral to calculate unknown angle size.
Dwyer Textbook
Ex. 13.9
Dwyer Textbook
Ex. 13.8, 13.9
Pearson Mathematics 7
Chapter 8
Maths Quest 7
Ch 5
10
11
Dwyer Textbook
Ex. 13.1, 13.2, 13.3
13.4, 13.5