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Simplifying, Factorising & Brackets
Learning Objectives:-
Simplify algebraic expressions by collecting like terms (adding and subtracting)
Expanding brackets
Take out common factors to factorise
Factorising and expanding quadratics
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Inequalities
Learning Objectives:-
Represent the solution of a linear inequality on a number line
Work out an inequality from a number line
Solving Inequalities
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Equations
Learning Objectives:-
• Solve linear equations with one unknown on one side
• Derive equations from geometric and other forms of problem
• Solve two linear simultaneous equations in two variables algebraically
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Changing the Subject, Formulae & Substitution
Learning Objectives:-
Change the subject of a formula
Write simple formulae or expressions from a problem
Substitute numerical values into formulae and expressions, including scientific formulae
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Integers
Learning Objectives:-
• Recognising place value
• Ordering whole numbers
• Recall all positive integer complements to 100
• Understanding place value and round to a given power of 10
• Round to the nearest integer
• Round to a given number of decimal places
• Estimate answers to problems involving decimals
• Round a number to one significant figure
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Percentages
Learning Objectives:-
a) To understand how to use fractions to find percentages
b) Convert Fractions to Percentages
c) Find a percentage of an amount
d) Solve problems involving percentage increase and decrease
e) Simple and Compound Interest
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Operations, Estimation & Checking Calculations
Learning Objectives:-
Understand the relationships between operations e.g. inverse operations
Estimate answers)
Check calculations using approximation and estimation (including using technology
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Fractions
Learning Objectives:-
o Add and subtract fractions including improper fractions and mixed numbers.
o Multiply and Divide fractions
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Decimals & Standard Form
Learning Objectives:-
Understanding the place value of decimals
Multiply decimals using written methods
Divide decimals using written methods
Add and Subtract decimals using written methods
Rounding to decimal places or significant figures
Estimate Answers
Understand and use standard form for very large and very small numbers
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Compound Measure & Distance Time Graphs
Learning Objectives:-
(a) Be able to use compound measures
(b) Be able to describe what is shown in a distance time graph
© Be able to draw a distance time graph
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Vectors & Transformations
Learning Objectives:-
How to generate a Vector, and Add and Subtract vectors
Consider transformations rotation, reflection, translation and enlargement (including fractional scale factors)
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Trigonometry
Learning Objectives:-
Know and use trigonometric ratios for right-angled triangle to:-
Find the length of a missing side
Find the size of a missing angle
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Pythagoras' Theorem
Learning Objectives:-
Know and use Pythagoras’ Theorem for right-angled triangles.
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Properties of Polygons
Learning Objectives:-
Derive and apply properties of polygons (and know their names)
Correctly use geometrical terms, label triangle sides and angles and draw diagrams from written descriptions
Calculate interior and exterior angles in regular polygons
Identify lines or symmetry and rotational symmetry order
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Loci, Plans & Elevations
Learning Objectives:-
Use constructions to solve loci problems
Construct and interpret plans and elevations for 3-D shapes.
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Congruence & Similarity
Learning Objectives:-
Apply the concepts of congruence and similarity
Use the basic congruence criteria for triangles
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Circle Theorems
Learning Objectives: -
Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
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Circles
Learning Objectives:-
• Describe the parts of a circle, including tangent, arc, sector, segment, centre, radius, chord, diameter, circumference
• Recall and use the formula for the area & circumference of a circle
• Calculate arc lengths and the angles and areas of sectors of circles
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Bearings & Maps
Learning Objectives:-
To find a bearing from A to B
To find a return bearing from B to A
To understand the points on a compass and the angles of each point
To use scale to work out distance from one bearing to another
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Angles & Constructions
Learning Objectives:-
Know angle types, label triangle sides and angles
Apply properties of quadrilaterals to know their names and find missing angles
Apply the properties of angles at a point, angles on a straight line, vertically opposite angles, alternate angles and corresponding angles
Use the standard ruler and compass constructions to construct a 60° angle, a perpendicular bisector, a perpendicular to a given line from/at a given point, and an angle bisector