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Mathematics
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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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Key Stage 3 Topic Booklets
Units of work for use with Key Stage 3 (or low-ability KS4) to boost basic mathematical and numeracy skills. Ideal for using in small groups or for intervention work.
Section 1: Number
Section 2: Mental Methods 1
Section 3: Mental Methods 2
Section 4: Square and Square roots
Section 5: Number Patterns
Section 6: Negative Numbers
Section 7: Fractions
Section 8: Perimeter, Area and Volume
Section 9: Basic Probability
Section 10: Ratio and Proportion
Section 11: Averages
Section 12: Types of Data and Representation
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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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Pythagoras' Theorem
Learning Objectives:-
Know and use Pythagoras’ Theorem for right-angled triangles.
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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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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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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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Fractions
Learning Objectives:-
o Add and subtract fractions including improper fractions and mixed numbers.
o Multiply and Divide fractions
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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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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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Straight-line Graphs
Learning Objectives:-
Be able to name and draw horizontal and vertical equations
Be able to draw an equation onto axis using the table method
Identify and interpret gradients and intercepts of linear functions, both algebraically and graphically.
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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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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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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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Data, Charts & Diagrams
Learning Objectives:-‐
Be able to categorise different types of data,
including primary, secondary, discrete, continuous
Interpret and construct charts and diagrams
(including bar charts and pictograms) for
categorical data
Interpret and construct pie charts for categorical
data
Construct and interpret histograms with equal
class widths (for grouped discrete as well as
continuous data)
Use graphical representations to interpret,
analyse and compare the distributions of data sets
from univariate distributions (discrete, continuous
and grouped)
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Scatter Graphs
Learning Objectives:-‐
Use and interpret scatter graphs
Line of best fit
Outliers
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Ratio & Proportion
Learning Objectives:-
Relate ratios to fractions and linear functions
Divide a quantity in a given ratio
Convert standard compound units in numerical and algebraic contexts
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Probability & Venn Diagrams
Learning Objectives:-‐
• Describe the probability of an event occurring
using probability words
• Use a probability scale
• Theoretical Probability and Mutually exclusive
events
• Relative frequency
• Enumerate sets and combinations of sets
systematically, using tables and grids
• Record, describe and analyse the frequency of
outcomes of probability experiments using tables
and frequency tress (probabilities as fractions,
decimals or percentages)
• Enumerate sets and combinations of sets
systematically, using Venn Diagrams