03 October 2013

3 October, S2 - Year 11 (GCSE)*


GCSE Higher
Topic: Revisiting the June 2013 Paper
Challenge Question
What topics do I need to focus on during the next month? 


Learning Objectives 
Beginning
To identify five topics you need to focus on today.

Developing
To use the past paper questions, example answer and peer assessment to gain a full understanding of each topic. 

 Mastering
To have mastered the five topics and have a plan for which topics you should focus on for the next month. 

Resources 


Starter


Step 1
Work through the individual question level analysis of the June 2013 exam paper. 

 Identify the topics where you did not get full marks and then list the top five topics that would allow them to make the next step (aiming for a Grade A). 

 Step 2
Use the resources below to help gain a full understanding of these topics. Working to be done in your book and notes made on the worksheet. 

 June 2013 - Paper 1

Exam Paper 1 - Higher
Exam Paper 1 - Higher - Mark Scheme
           

Q1: Use one calculation to find the answer to another
Questions: Using this information to solve a problem

Q2: Interpret fractions, decimals and percentages as operators
Questions: Basic percentages, Percentage of a number

 Q3: Produce ordered stem and leaf diagrams
Question: Stem & Leaf

Q4: Multiply a single term over a bracket & expand the product of two linear expressions
Questions: Collecting like terms, Multiply out brackets, Factorise expressions

Q5: Find the prime factor decomposition of positive integers
Questions: Factors and Multiples (HCF, LCM, Prime Factors)

Q6: Calculate mean
Questions: Calculating Averages from Frequency Tables, Calculating Averages of Small Data Sets

Q7: Describe and transform 2-D shapes using single translations, Enlargement, Reflection, Rotation and Translation
Questions: Reflections, Rotations, Enlargement
Q8: Estimate answers to calculations, including use of rounding
Questions: Estimating by rounding to 1SF, Rounding the a given number of DP or SF

Q9: Find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers
Questions: Factors and Multiples (HCF, LCM, Prime Factors)
Q10: Set up and solve simple equations including simultaneous equations in two unknowns
Questions: Solve linear equations, Form and Solve Equations and Expressions
Q11: Interpret distance-time graphs
Questions: Distance-Time Graphs

Q12: Recognise and plot equations that correspond to straight line graphs in the coordinate plane, including finding gradients
Questions: Draw linear graphs
Q13: Measure or draw a bearing between the points on a map or scaled plan
Questions: Bearings, Using bearings to specify direction, measuring and drawing

 Q14: Solve simple linear inequalities in one variable, and represent the solution set on number line
Questions: Solve simple linear inequalities
Q15: Calculate with standard form
Questions: Standard Form
Q16: Calculate an original amount when given the transformed amount after a percentage change
Questions: Percentages of a number, One number as a percentage of another, Reverse percentage problem, Express one quantity as a percentage of another

Q17: Calculate volumes of right prisms, including the triangular prism,  and shapes made from cubes and cuboids
Questions: Volume of Prisms, Surface area of prism

Q18: Set up and solve simple equations including simultaneous equations in two unknowns
Questions: Simultaneous Equations

 Q19: Recall that n0 = 1 and n-1 = 1/n for positive integers n as well as,  n1/2 = square root of n and n1/3 = cube root of n
Q20: Calculate areas of shapes made from triangles and rectangles
Questions: Area and Perimeter of Basic and Compound Shapes
Q21: Produce and use cumulative frequency graphs
Questions: Cumulative Frequency Tables

 Q22: Understand the effect of enlargement for perimeter, area and volume of shapes and solids
Q23: Simplify rational expressions by cancelling, adding, subtracting and multiplying
Q24: Produce histograms from class intervals with unequal width
Question: Histograms

 Q25a: Solve simple quadratic equations by factorisation and completing the square
Questions: Quadratic Equations

 Q25b: Apply to transformations to a graph
Questions: Transformation of Functions
Q26: Understand conditional probabilities
Questions: Conditional Probability

 Q27: Understand, use and solve problems using vector notation
Questions: Vectors

 Q28: Transformation of graphs
Questions: Transformation of Functions


June 2013 - Paper 2    

Exam Paper 2 - Higher
Exam Paper 2 - Higher - Mark Scheme



Q1: Find the surface area of simple shapes (prisms) using the formulae for triangles and rectangles, and other shapes
Questions: Area and Perimeter of Basic and Compound Shapes
Q2: Solve a ratio problem in a context
Questions: Dividing a number into a ratio
Q3: Produce and Interpret scatter graphs
Questions: Scatter Graphs & Correlation

 Q4: Estimate the number of times an event will occur, given the probability and the number of trials
Questions: Probability of mutually exclusive events add up to 1, Using a two way table to find probability, Tree Diagrams

Q5: Criticise and design questions for a questionnaire and understand different sample sizes. 
Questions: Data Collection Sheets, Questionnaires & Bias
Q6: Understand and use compound measures

 Q7: Solve a ratio problem in a context
Questions: Dividing a number into a ratio

 Q8: Calculate areas of shapes made from triangles and rectangles
Questions: Area and Perimeter of Basic and Compound Shapes

Q9: Give reasons for angle calculations
Questions: Alternate, Opposite and Corresponding angles, Angles in a line, at a point, in a triangle an quadrilateral, External and internal angles in a polygon

Q10: Use trial and improvement to find approximate solutions of equations
Questions - Use Trial and Improvement to find a solution

Q11: Understand,  recall and use Pythagoras theorem
Questions - Pythagoras, 3D Pythagoras

 Q12: Solve linear equations that include brackets and those with a negative solution
Questions: Solve Linear Equations
Q13: Find the coordinates of the midpoint of a line segment and Find the gradient of a straight line from a graph
Questions: Plotting coordinates and finding midpoints
Q14: Use percentages to calculate Compound Interest
Questions: Compound interest
Q15: Generate points and plot graphs of simple quadratic functions,  then more general quadratic functions
Questions: Plot quadratic functions, Expanding two quadratic brackets

 Q16: Give reasons for angle calculations involving the use of tangent theorems
Questions: Tangent properties of circles

Q17: Produce and compare box plots from raw data

Q18: Change the subject of a formula including cases where the subject is on both sides of the original formula.
Questions: Rearranging Complex Formulae
Q19: Factorise quadratic expressions using the difference of two squares
Questions: Factorise expressions

Q20: Use trigonometric relationships in right-angled triangles, and use these to solve problems in 2-D and in 3-D configurations
Questions: Sine and Cosine Rules
Q21: Select and justify a sampling scheme and a method to investigate a population, including random and stratified sampling
Questions: Data Collection Sheets, Questionnaires & Bias
Q22: Set up and use equations to solve word and other problems involving direct proportion or inverse proportion and relate algebraic solutions to graphical representation of the equations

 Q23: Find the upper and lower bounds of calculations involving perimeter,  areas and volumes of 2-D and 3-D shapes
Questions: Error Bounds
Q24a: Calculate the area of a triangle given the length of two sides and the included angle
Questions: Area of any triangle
Q24b: Use the trigonometric ratios and the sine and cosine rules to solve 2-D and 3-D problems
Questions: Sine and Cosine Rules
Q25: Solve a pair of simultaneous equations, one of which is linear and the other quadratic.

Extra Help
Video Help

Step 3

 Review the question level analysis again and list the next five topics you need to focus on. 


Homework
5 Pages from the workbook

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