Level 3 Core Maths A OCR
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105 topics in 10 modules
☑️ Use of Technology 7 topics
- Using Standard Calculators
- Reading Information from a Standard Spreadsheet
- Entering Formulae and Data into a Spreadsheet
- Interpreting Simple Formulae on a Spreadsheet (Cell References)
- Copying a Formula and Ensuring Only the Required Cell Addresses Increment
- Using a Spreadsheet to Find a Numerical Solution of an Equation
- Using a Spreadsheet to Draw Graphs and Standard Statistical Diagrams
☑️ Modelling 20 topics
- Identify Simplifying Assumptions that Allow a Situation to be Modelled
- Developing or Choosing a Simple Mathematical Model for a Real-World Situation
- Using a Model to Make Predictions or Get Information about a Situation
- Comparing Outcomes from a Model with Actual Data, Information or Experience
- Appraising the Assumptions Underlying a Model Critically
- Understand that a Simple Model can Give Useful Answers
- Communicating Mathematical Results Clearly and Effectively
- Making a Rough Estimate of a Quantity from Available Information
- Using Estimates when Checking Calculations
- Making and Justifying Upper and Lower Bounds for a Calculation
- Interpreting and Presenting Error Bounds or Tolerances
- Representing a Situation Mathematically using a Formula or Equation
- Substituting Values into a Formula Given in Symbols, Words or as a Flow Chart
- Solving Equations and Change the Subject of a Formula
- Relationships between Lengths, Areas, Weights and Volumes of Similar Figure
- Working with Time, Length, Area and Volume
- Interpreting Diagrams, Maps and Scale Drawings
- Working with Representations of 3D Objects in 2D
- Displacement, Distance, Velocity, Speed and Acceleration
- Using Ratio and Proportionality in Authentic Contexts
☑️ Statistics 20 topics
- What Data Needs to be Collected to Answer a Question Requiring Statistical Evidence
- Suitable Methods for Collecting Data
- Processing and Presenting Data to Provide an Answer to the Original Question
- Interpreting the Answer to the Question
- Language Describing Types of Data
- Values in Primary or Secondary Data
- Reading Information from a Table
- Sample and Population
- Interpreting Sample Data
- Variability of Data
- Interpreting Statistical Diagrams
- Misleading Statistical Diagrams
- Skewness from a Histogram, Frequency Chart or Box and Whisker Plot
- Interpreting Scatter Diagrams
- Measures of Central Tendency
- Measures of Spread
- Weighted Mean
- Normal Distribution
- Mean and Standard Deviation to Calculate a z-Score
- Normal Probability Plot
☑️ Finance 10 topics
- Addressing a Financial Situation
- Calculations involving Percentages in Context
- Percentages: Appreciation or Depreciation
- Average Annual Percentage Growth Rate
- Foreign Exchange Rate Information
- Regular Outgoing Cost for a Financial Decision
- Finding Relevant Information from Tables
- Using a Spreadsheet to Cost a Project or Business Proposal
- Demand Curve as a Model for the Relationship between Price and Demand
- The Language of Finance
☑️ Working with Exponentials 5 topics
- Interpreting Large or Small Numbers in Standard Form
- Calculating with Numbers in Standard Form
- Exploring Exponential Growth and Decay
- Representing and Interpreting Exponential Growth and Decay in a Graph
- Using and Interpreting Logarithmic Scale on a Graph
☑️ Working with Graphs and Gradients 9 topics
- Independent Variable on Graphs
- Constructing a Table of Values for a Graph
- Using a Graph to Construct a Table of Values
- Working with Graphs Drawn from a Variety of Contexts
- Graphs of Direct and Inverse Proportion
- Linearising Graph of a Relationship
- Relationship between a Straight Line Graph and the Formula Connecting the Variables
- Gradient of a Straight Line Graph
- Gradient of a Curve
☑️ Risk 8 topics
- Equally Likely Outcomes in Appropriate Contexts
- Estimating Probability in Equally Likely Outcomes
- Probability from Long-Run Relative Frequency
- Two-Way Tables
- Dependent and Independent Events
- Tree Diagrams
- Risk Given as a Probability
- Risk Assessment
☑️ Problem Solving 12 topics
- Information Needed to Address a Problem
- Making, Justifying and Simplifying Assumptions
- Recognising Already Solver Problems
- Different Strategies for Problem Solving
- Comparing Two Quantities
- Using Data to Make and Justify a Decision
- Communicating Solutions to Problems
- Sources of Bias or Error
- Evaluating Critical Information in Public Statements
- Evaluating a Decision by Referring to Data
- 'Good Enough' Solutions
- Criticising/Refining a Proposed Solution
☑️ Sources of Information 3 topics
- Quantitative Understanding of the World
- Fermi Estimation
- Probability Estimation
☑️ Mathematical and Statistical Techniques and Knowledge 11 topics
- Common Examples of Incorrect Reasoning in Probability
- Misleading Statistical Diagrams
- Neither Correlation nor Association Imply Causation
- Regression to the Mean
- Randomised Controlled Trials
- 'Blind' and 'Double Blind' in Statistical Trials
- Distributing Sums of Independent Observations
- Large and Small Sample Proportions
- Conditional Probability
- Population Proportions Statements
- Use of Percentages
Level 3 Core Maths A OCR Revision Content
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Level 3 Core Maths A OCR - Use of Technology - Using Standard Calculators Content Preview
Use of Technology
Using Standard Calculators
Using Standard Calculators
Basic Functions
- Understand how to perform simple calculations like addition, subtraction, multiplication, and division.
- Understand how to handle fractions, decimals, and percentages.
- Familiarise with constant function that allows repeated multiplications or divisions.
- Appreciate the clear entry (CE) function that clears the most recent entry, instead of the whole calculation.
Advanced Operations
- Get comfortable with square roots and cube roots.
- Learn how to use exponentiation (power) function, for raising one number to the power of another.
- Understand usage of factorial button for calculations involving permutations and combinations.
- Consider use of reciprocal (1/x) function for fraction conversions.
Memory Functions
- Learn to use the memory store (MS) and memory recall (MR) functions to store and recall numbers respectively.
- Understand the memory add (M+) and memory subtract (M-) functions to add/subtract numbers to/from stored memory.
Functions Involving Trigonometry and Algebra
- Familiarise with functions like sine, cosine, and tangent, and their inverses.
- Understand how to use logarithmic functions (log) and the natural logarithm (ln).
- Get a grip on how to implement the algebraic method for problem-solving.
Advanced Calculator Use
- Apply the correct order of operations using brackets.
- Understand modes of the calculator such as degree and radian modes for trigonometric calculations.
- Understand scientific notation for handling large or very small numbers.
- Examine the use of a fraction button for converting fractions into decimals and vice versa.
Note: Practising calculator usage with a diverse range of numerical and algebraic problems can encourage fluency and accuracy in the real world and exam settings.
Question: Calculate the cube root of 125, then raise it to the power of 3, add this to 7% of 100 and store this value in the memory. Then subtract 2 from the stored value and recall it, what is the final number you retrieve from the memory?
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