Patterns, Space, Measurement & Data

Measurement and Data

Grade 1 · Grade 2 · Grade 3

  • ✓By the end of this lesson students will be able to tell time using analogue and digital clocks.
  • ✓By the end of this lesson students will be able to measure length, mass, and money using appropriate standard and non-standard units.
  • ✓By the end of this lesson students will be able to solve practical problems involving time, length, mass, and money.
  • ✓By the end of this lesson students will be able to collect, organise, represent, and interpret data.

Key concepts

Time

Time helps us know when things happen. We use clocks, calendars, and words like 'before', 'after', 'morning', 'afternoon', 'evening', 'night'. We learn about days of the week, months of the year, and seasons. We tell time to the hour, half-hour, quarter-hour, and even to the minute using analogue (with hands) and digital clocks.

Length

Length tells us how long or short something is, or how tall. We can compare lengths directly (e.g., 'This pencil is longer than that one'). We can also measure length using non-standard units (like hand spans or footsteps) and standard units like centimetres (cm), metres (m), and kilometres (km). A ruler or tape measure helps us measure accurately.

Mass

Mass tells us how heavy or light something is. We can compare masses directly (e.g., 'This book is heavier than that feather'). We can also measure mass using non-standard units (like blocks or marbles on a balance scale) and standard units like grams (g) and kilograms (kg). A kitchen scale or bathroom scale helps us measure mass.

Money

Money is what we use to buy things. In South Africa, we have different coins (5c, 10c, 20c, 50c, R1, R2, R5) and banknotes (R10, R20, R50, R100, R200). We learn to recognise them, count them, and solve problems about buying and selling, and calculating change.

Collect & Represent Data

Data is information we collect. We can collect data by asking questions or observing things. We then organise this data, for example, using tally marks. We can represent data using pictographs (pictures) or bar graphs (bars) to make it easy to understand. After representing the data, we can interpret it to answer questions and draw conclusions.

Key facts to remember

  • 1There are 7 days in a week and 12 months in a year.
  • 21 metre (m) = 100 centimetres (cm).
  • 31 kilogram (kg) = 1000 grams (g).
  • 4South African coins are 5c, 10c, 20c, 50c, R1, R2, R5. Banknotes start from R10.
  • 5When telling time, the short hand is the hour hand and the long hand is the minute hand.
  • 6Always use the correct unit when measuring (e.g., cm for short lengths, kg for heavy objects).
  • 7A pictograph uses pictures to show data, and a bar graph uses bars.
  • 8R1 = 100c.

Worked examples

Example 1

The school bell rings for break at a quarter past ten in the morning. Draw the time on an analogue clock face.

I"A quarter past ten" means 15 minutes after 10 o'clock.
IIThe short hour hand points just past the 10.
IIIThe long minute hand points directly to the 3 (because 3 x 5 minutes = 15 minutes).

Answer

An analogue clock face with the short hand pointing slightly past the 10 and the long hand pointing directly at the 3.

Example 2

Sipho buys a toy car for R15 and a sweet for R3. He pays with a R20 note. How much change should Sipho get?

IFirst, find the total cost of the items: R15 + R3 = R18.
IINext, subtract the total cost from the amount paid: R20 - R18 = R2.

Answer

Sipho should get R2 change.

Always add up the total cost first before calculating change.

Example 3

Measure the length of your pencil using paper clips. Then, collect data from 5 friends about how many paper clips long their pencils are and draw a simple pictograph.

I(Student measures their own pencil, e.g., 7 paper clips).
IICollect data from friends (e.g., Friend A: 6, Friend B: 8, Friend C: 7, Friend D: 6, Friend E: 9).
IIIDraw a pictograph with a title (e.g., 'Pencil Lengths in Paper Clips') and labels for each friend. Use one paper clip drawing for each unit of length.

Answer

A pictograph showing each friend's name and the corresponding number of paper clip drawings next to it. For example:\nSipho: 7 paper clips\nFriend A: 6 paper clips\nFriend B: 8 paper clips\nFriend C: 7 paper clips\nFriend D: 6 paper clips\nFriend E: 9 paper clips

Make sure all the paper clip drawings are the same size and clearly represent one unit.

Common mistakes

  • ✗Confusing the hour and minute hands on an analogue clock.
  • ✗Forgetting to include the unit of measurement (e.g., writing '5' instead of '5 cm').
  • ✗Not calculating change correctly when buying items.
  • ✗Miscounting when using non-standard units for length or mass.
  • ✗Drawing pictographs where the pictures are not all the same size or do not represent the same value.

Exam tips

  • ★Read the question carefully to understand what is being asked (e.g., 'to the hour' or 'to the minute').
  • ★Always show your working steps, especially for money problems.
  • ★When measuring, start from the '0' mark on your ruler or tape measure.
  • ★Check your answers, especially for calculations involving money or time.
  • ★For data representation, make sure your graph has a clear title and labels.

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