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GCSE Problem Solving: "UNPACK" problems (Bundle)
This series of workbooklets provide GCSE exam questions for students to tackle using the “UNPACK” method.
U = UNderline important information about the question
N = UNderstand what the question is asking
P = What maths Processes will I be using?
A = My Answer to th questions
C = Have I Checked my work?
K = I Know my answer makes sense
The “UNPACK” booklet and PPT explains to students how to use this method, with examples, prior to them attmepting to use this method for themselves in:-
Problem Solving with Shape, Space and Measure
Problem Solving with Ratio and Proportion
Problem Solving with Probability
Problem Solving with Number
Problem Solving with Data and Statistics
Problem Solving with Algebra
Sequences
Workbooklet for students to use to gain an understanding of Sequences
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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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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
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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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Area & Perimeter of Regular & Composite Shapes
Learning Objectives:-
Calculate the perimeter of shapes
Calculate the areas of Rectangles, Triangles and Parallelograms
Calculate the areas of Trapeziums, Rhombus and Kites
Calculate the area of composite shapes
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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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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
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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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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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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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Congruence & Similarity
Learning Objectives:-
Apply the concepts of congruence and similarity
Use the basic congruence criteria for 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