Download Year 7 Mathematics - Karabar High School

TERM 1
Year 7 Mathematics
Angles and Two-Dimensional Shapes
Simple Probability
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• Sample spaces for single-step experiments with equally likely outcomes
• Assign probabilities to the outcomes of events and determine probabilities for events
• Identify complementary events and use the sum of probabilities to solve problems
Basic Number Review
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Time
TERM 3
Naming and labelling angles
Straight angles, vertically opposite angles, angles at a point
Parallel line results
Classifying triangles
Properties of quadrilaterals
Line and rotational symmetry
Angle sum of a triangle and quadrilateral
Introductory Algebra
Place value, expanded form
Factors and multiples including HCF and LCM
Negative numbers
Prime, composite, square and triangular numbers
Addition, subtraction, multiplication and division
Estimation and order of operations
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• Algebraic expressions (pronumerals are used as variables) compared to equations (pronumerals are
used as unknowns)
Associative, commutative and distributive laws for mental and written computation
Compare, order, add and subtract integers
Multiply and divide integers
The four operations
• Solve simple linear equations using concrete materials
• Solve linear equations (up to two steps)
• Solve simple quadratic equations of the form
Pythagoras’ Theorem
TERM 2
Stage 3 revision as appropriate
Equivalent fractions
Adding, subtracting, multiplying, dividing fractions
Multiplying and dividing decimals
One quantity as a fraction of another
Rounding decimals, terminating & recurring decimals
Conversion of fractions, decimals and percentages
Concept of irrational numbers
Percentages of quantities and one quantity as a percentage of another
Applications of Percentages
• Percentage increase and decrease
• Percentages greater than 100
• Percentage composition, unitary method
Indices with Numerical Bases
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Terminology, evaluating indices
Divisibility tests
Prime factors
Square roots of perfect square numbers
Index laws: ×, ÷, power-of-a-power, zero index
TERM 4
Fractions, Decimals and Percentages
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Variables as a way of representing numbers using letters
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
Simplify algebraic expressions involving the four operations
Create algebraic expressions and evaluate them by substituting a given value for each variable
Simple Equations
Integers
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• Stage 3 review (12/24-hr conversions, duration, timetables, timelines)
• Solve problems involving duration, including using 12-hour and 24-hour time within a single
time zone
• Solve problems involving international time zones
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Define and identify the hypotenuse
Establish Pythagoras’ theorem in practical ways
Find the length of an unknown side in a right-angled triangle
Practical problems involving Pythagoras' theorem
Identify Pythagorean triads
Use the converse of Pythagoras' theorem
Investigate the concept of irrational numbers
Length, Perimeter and Circumference
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Perimeter of squares, rectangles, triangles and regular polygons (Stage 3 review)
Perimeter of parallelograms, trapeziums, rhombuses & kites
Investigate the concept of irrational numbers, including
Parts of a circle: arc, tangent, chord, sector, segment
C = π d and C = 2π r
Perimeter of quadrants, semi-circles and composite figures
Arc length and perimeter of sectors
Transformations on the Number Plane
• Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
• Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian
plane using coordinates