If you want to work through some more examples, get different explanations, you are in the right place! This is what you should know by the end of the year. We will load more and more examples and resources as we source them for you and as teachers make them available. We will follow the DBE term structure, but if you are at a private or IEB school you can just look for the corresponding topic.

Term 1

NUMBERS AND CALCULATIONS WITH NUMBERS

  • Number formats: (Caps page 28)
    • Decimal point/comma; thousand separators (1000, 1000 000, etc.);
    • Positive and negative numbers in contexts; conversions between number formats (e.g. dozen, over, century, etc.)
    • Time formats conversions (sec – min – hours – days – weeks – months – years – decade)
  • Operations (caps page 29)
    • With whole numbers and decimals with and without a calculator (BODMAS)
    • Using a calculator to find: square, cube, square root of a number
    • With fractions
  • Rounding, Ratio, Rates, Direct and Inverse proportion, Percentages (Caps page 30-35)
    • Rounding-off: to a specified number of decimal places, to the nearest whole number, up or down
    • Ratio’s: situations, formats and calculations
    • Rates: meaning, types and calculations
    • Percentage: notation and calculations;
    • Percentage increase and decrease calculations in contexts

PATTERNS RELATIONSHIPS & REPRESENTATIONS

  • Patterns and relationships: (Caps page 38)
    • Constant, direct proportion and inverse proportion relationships.
    • Tables with input and output values
  • Pattern and relationship representations: (caps page 39-42)
    • Table with dependent and independent values
    • Equations
    • Graphs
  • Interpretation:
    • Tables
    • Graphs (determine: dependent and independent values, zero values, min/max values, missing values)
    • Write a story from a graph or draw a graph from a story

DATA HANDELING

  • Data: (Caps pages 83-84)
    • Developing questions.
    • Collecting data
    • Classifying and organizing data.
    • Summarising data.
      • Mean
      • Median
      • Mode
      • Range
    • Analyse data represented by the above

Term 2

FINANCE

  • Financial documents
    • House hold bills
    • Shopping doc
    • Banking doc
    • Household budget
    • Terminology used in above documents
  • Tariff systems
    • Municipal tariff
    • Telephone tariff
    • Transport tariff
    • Bank fees
  • Calculate:
    • Cost using tariff and /or formula
  • Draw & interpret graphs of various tariffs system

MEASUREMENT

  • Conversions (CAPS: Pg 63)
    • Metric system
    • Conversion using factors/tables.
  • Operations with numbers:
    • Multiplication and division by: 10, 100,1000 without calculator.
  • Measuring & estimating
    • Length
    • Distance
    • Weight/mass
    • Volume
    • Temperature
    • Time
  • Calculate costs of products and services.

MAPS, PLANS & OTHER REPRESENTATIONS

  • Scale (CAPS: Pg 73)
    • Use Scale in the form: 1:500 and bar scales to:
    • Calculate actual distance and length from the given map/plan measurements.
  • Maps (CAPS: Pg 74 – 75)
    • Describe position of an object (e.g. building) in relation to surrounding.
    • Describe position of a building) in relation to surrounding buildings
    • Find location, Follow & develop directions
    • Direction indicators (left, right, along, up, down, etc.)
    • House building numbering
    • Numbering system used for sitting in sport stadiums

PROBABILITY

  • Expression of probability (CAPS: Pg 91 – 93(
    • Events and outcomes/results
  • Prediction
    • Relative frequency & theoretical probability of an event
  • Tree diagrams and Two-way tables
  • CAPS: Pg 91 – 93

Term 3

FINANCE (CAPS: Pg 51 -52)

  • Income, expenditure, profit/loss, income-and-expenditure statements and budgets:
    • Perform calculations involving all of the above.
    • Identify fixed, variable and occasional income and expenditure values from financial documents.
    • Analyse and prepare income – and – expenditure statements and budgets
  • Interest (CAPS: Pg 54, 58)
    • Distinguish between interest rate and interest
    • Calculate interest and interest rate
  • Taxation
    • Determine VAT in the context of shop purchases, till slips and bills.
    • Calculate VAT inclusive/exclusive prices

MEASUREMENT

  • Calculate (CAPS: Pg 68 -69)
    • Perimeter
    • Area
    • Volume
      (of rectangles, triangles and circles(quarter, semi and three-quarters) using formulae)
    • Cost of products
  • Solve problems and complete tasks/projects.

MAPS, PLANS & OTHER REPRESENTATIONS

  • Plans (CAPS: Pg 76 – 80)
    • Floor plans and design:
      • Understand the symbol & notation used on plans.
      • Describe what is being represented
      • Analyse layout of shown in plan & suggest alternative layout option
      • Determine actual length on plans using measurements and given scale
      • Determine quantity of material needed by using the plans perimeter, area and volume calculations
      • Draw 2D floor plans for familiar structures.
    • Assembly diagrams
    • Models
      • Packaging of cams and/or boxes for optimal use of space.
      • Determine the most cost-effective way of packaging a number of cans and/or boxes

Term 4

FINANCE (CAPS: Pg 55)

  • Banking, loans & investments.
  • Understand terminology in the banking documents
  • Determine bank charges for different bank account types.
  • Draw graphs from given bank charges.

DATA HANDLING

  • Summarising data. (CAPS: Pg 84)
    • Mean
    • Median
    • Mode
    • Range
  • Analyse data represented by the above
  • Representing data (CAPS: Pg 86 – 87)
    • Pie chart
    • Histogram
    • Single bar graph
    • Line and broken line graph
  • Analyse data represented by the previous graphs.