GCSE Higher
To identify five topics you need to focus on today.
Mastering
To have mastered the five topics and have a plan for which topics you should focus on for the next month.
Q3: Produce ordered stem and leaf diagrams
Q6: Calculate mean
Q7: Describe and transform 2-D shapes using single translations, Enlargement, Reflection, Rotation and Translation
Questions: Reflections, Rotations, Enlargement
Videos:
Rotations, Rotational SymmetryReflections, Reflection, Symmetry, SymmetryEnlargements, Intro to EnlargementTranslations, Translations
Q14: Solve simple linear inequalities in one variable, and represent the solution set on number line
Questions: Solve simple linear inequalities
Videos:
Solving inequalities
Regions, Inequalities in 2 Variables
Q22: Understand the effect of enlargement for perimeter, area and volume of shapes and solids
Videos:
Congruent and Similar Shapes
Q28: Transformation of graphs
Q4: Estimate the number of times an event will occur, given the probability and the number of trials
Q8: Calculate areas of shapes made from triangles and rectangles
Questions: Area and Perimeter of Basic and Compound Shapes
Q16: Give reasons for angle calculations involving the use of tangent theorems
Q23: Find the upper and lower bounds of calculations involving perimeter, areas and volumes of 2-D and 3-D shapes
Questions: Error Bounds
Extra Help
Homework
5 Pages from the workbook
Topic: Revisiting the June 2013 Paper
Challenge Question
What topics do I need to focus on during the next month?
Learning Objectives
Learning Objectives
Beginning
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
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
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
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
Videos:
Q2: Interpret fractions, decimals and percentages as operators
Questions: Basic percentages, Percentage of a number
Videos:
Q3: Produce ordered stem and leaf diagrams
Q4: Multiply a single term over a bracket & expand the product of two linear expressions
Q5: Find the prime factor decomposition of positive integers
Questions: Calculating Averages from Frequency Tables, Calculating Averages of Small Data Sets
Videos:
Averages for a frequency table, Frequency Table, Grouped Frequency Table
Videos:
Averages for a frequency table, Frequency Table, Grouped Frequency Table
Questions: Reflections, Rotations, Enlargement
Videos:
Rotations, Rotational SymmetryReflections, Reflection, Symmetry, SymmetryEnlargements, Intro to EnlargementTranslations, Translations
Q8: Estimate answers to calculations, including use of rounding
Questions: Estimating by rounding to 1SF, Rounding the a given number of DP or SF
Videos:
Rounding, Estimation, Decimals Points and Significant Figures, Rounding and EstimationEstimation Answers
Q9: Find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers
Questions: Factors and Multiples (HCF, LCM, Prime Factors)
Videos:
Rounding, Estimation, Decimals Points and Significant Figures, Rounding and EstimationEstimation Answers
Q9: Find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers
Questions: Factors and Multiples (HCF, LCM, Prime Factors)
Videos:
Factors, Multiples and Primes, Factors Multiples and Primes, Prime Numbers
Products of Prime Factors
Products of Prime Factors
Q10: Set up and solve simple equations including simultaneous equations in two unknowns
Q11: Interpret distance-time graphs
Questions: Distance-Time Graphs
Videos:
Distance-Time Graphs, Speed, Distance and Time
Questions: Distance-Time Graphs
Videos:
Distance-Time Graphs, Speed, Distance and Time
Q12: Recognise and plot equations that correspond to straight line graphs in the coordinate plane, including finding gradients
Questions: Draw linear graphs
Videos:
Drawing Straight line graphs, Drawing GraphsFinding the equations of a straight line graphs, Equations of a Line
Questions: Draw linear graphs
Videos:
Drawing Straight line graphs, Drawing GraphsFinding the equations of a straight line graphs, Equations of a Line
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
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
Videos:
Solving inequalities
Regions, Inequalities in 2 Variables
Q15: Calculate with standard form
Questions: Standard Form
Videos:
Standard Form, Standard Form
Standard Form Calculations
Questions: Standard Form
Videos:
Standard Form, Standard Form
Standard Form Calculations
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
Videos:
Introduction to PercentagesPercentage of a number (calculator)Percentage of a number (no calculator)Percentage change (calculator)Percentage change (no change)
Q17: Calculate volumes of right prisms, including the triangular prism, and shapes made from cubes and cuboids
Q18: Set up and solve simple equations including simultaneous equations in two unknowns
Questions: Simultaneous Equations
Simultaneous Equations (Elimination), Simultaneous Equations (Substitution), Simultaneous Equations (Complex), Simultaneous Equations (Points of intersection)
Simultaneous equations involving quadratics
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
Videos:
Fractional and Negative Indices
Videos:
Solving simultaneous equations graphicallySimultaneous Equations (Elimination), Simultaneous Equations (Substitution), Simultaneous Equations (Complex), Simultaneous Equations (Points of intersection)
Simultaneous equations involving quadratics
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
Videos:
Fractional and Negative Indices
Q20: Calculate areas of shapes made from triangles and rectangles
Questions: Area and Perimeter of Basic and Compound Shapes
Videos:
Area of ParallelogramsArea of Rectangles, Area of Rectangles and SquaresArea of Triangles, Area of TrianglesParallelograms and RhombusesTrapeziums and Trapezoids
Questions: Area and Perimeter of Basic and Compound Shapes
Videos:
Area of ParallelogramsArea of Rectangles, Area of Rectangles and SquaresArea of Triangles, Area of TrianglesParallelograms and RhombusesTrapeziums and Trapezoids
Q21: Produce and use cumulative frequency graphs
Questions: Cumulative Frequency Tables
Videos:
Cumulative Frequency
Questions: Cumulative Frequency Tables
Videos:
Cumulative Frequency
Q22: Understand the effect of enlargement for perimeter, area and volume of shapes and solids
Videos:
Congruent and Similar Shapes
Q23: Simplify rational expressions by cancelling, adding, subtracting and multiplying
Videos:
Surds, Multiplying and Dividing Surds, Simplifying Surds, Rationalising the Denominator, Rationalising the Denominator
Videos:
Surds, Multiplying and Dividing Surds, Simplifying Surds, Rationalising the Denominator, Rationalising the Denominator
Q24: Produce histograms from class intervals with unequal width
Question: Histograms
Video:
Histograms, Histograms
Q25a: Solve simple quadratic equations by factorisation and completing the square
Video:
Histograms, Histograms
Q25a: Solve simple quadratic equations by factorisation and completing the square
Questions: Quadratic Equations
Videos:
Solving Quadratics using the formula, Quadratic Formula, Forming the Quadratic Formula, Graphical ApproximationsSolving Quadratics by completing the square
Q25b: Apply to transformations to a graph
Questions: Transformation of Functions
Videos:
Transformation of Trigonometric functions, Transformation Functions
Videos:
Solving Quadratics using the formula, Quadratic Formula, Forming the Quadratic Formula, Graphical ApproximationsSolving Quadratics by completing the square
Q25b: Apply to transformations to a graph
Questions: Transformation of Functions
Videos:
Transformation of Trigonometric functions, Transformation Functions
Q26: Understand conditional probabilities
Questions: Conditional Probability
Videos:
Probability – and & or questions
Questions: Conditional Probability
Videos:
Probability – and & or questions
Q28: Transformation of graphs
Questions: Transformation of Functions
Videos:
Transformation of Trigonometric functions, Transformation Functions
Videos:
Transformation of Trigonometric functions, Transformation Functions
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
Videos:
Area of curved surfacesCone and SpheresComposite ObjectsSegments of circles and Frustums of Cone
Questions: Area and Perimeter of Basic and Compound Shapes
Videos:
Area of curved surfacesCone and SpheresComposite ObjectsSegments of circles and Frustums of Cone
Q4: Estimate the number of times an event will occur, given the probability and the number of trials
Q5: Criticise and design questions for a questionnaire and understand different sample sizes.
Q6: Understand and use compound measures
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
Q10: Use trial and improvement to find approximate solutions of equations
Questions - Use Trial and Improvement to find a solution
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
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
Questions: Plotting coordinates and finding midpoints
Q15: Generate points and plot graphs of simple quadratic functions, then more general quadratic functions
Questions: Plot quadratic functions, Expanding two quadratic brackets
Questions: Plot quadratic functions, Expanding two quadratic brackets
Q16: Give reasons for angle calculations involving the use of tangent theorems
Q18: Change the subject of a formula including cases where the subject is on both sides of the original formula.
Questions: Rearranging Complex Formulae
Questions: Rearranging Complex Formulae
Q19: Factorise quadratic expressions using the difference of two squares
Questions: Factorise expressions
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
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
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
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
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.
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
