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Mathematics
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3D Shapes, Properties, Volume & Surface Area
Learning Objectives:-
• Identify the properties of 3D shapes including cubes, cuboids, cylinders, pyramids, cones and spheres.
• Know and apply formulae to calculate volumes of cuboids and other right prisms (including cylinders)
• Calculate the surface area of spheres, pyramids, cones and composite solids.
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Cumulative Frequency, Box Plots & Comparing Distributions
Learning Objectives:-‐
Construct and interpret cumulative frequency
diagrams (for grouped discrete as well as
continuous data)
Interpret and construct box plots
Use measures of central tendency and measures
of spread to interpret, analyse and compare the
distributions of data sets
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UNPACK Maths Problems
I am going to UNPACK these Maths Problems!
To effectively solve problems in mathematics, and for you to get all of the ‘P’ marks in the exam, you will need to UNPACK the questions. This work booklet shows students how to ensure that they get the full marks when tackling problems solving questions in the exam.
By following the UNPACK rules below, it will enable you to ensure that you get the full-marks for all problem-solving questions: -
Underline important information in the question
Understand what the question is asking me
What maths Processes will I be using?
My Answer in the question
Have I Checked my work?
I Know my answer makes sense
Sequences
Workbooklet for students to use to gain an understanding of Sequences
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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
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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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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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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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Histograms
Learning Objectives:-
Construct and interpret histograms with equal class widths (for grouped discrete as well as continuous data)
Construct and interpret histograms with unequal class widths (for grouped discrete as well as continuous data)
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Problem Solving with Probability:- How to "UNPACK" Problems
Workbooklet with exam questions and a guide book on how to “UNPACK” GCSE questions.
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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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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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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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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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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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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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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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Indices
Learning Objectives:-
Simplify expressions involving sums, products and powers, including using index laws
Calculate with negative and fractional indices