Mathematics notes, unit 6
Length, Mass and Volume of Liquid
Textbook Mathematics Year 1 (DLP), Textbook Part 1 and Part 2, pages Part 2, 45-60
What this chapter covers
- You can say which things are long or short, tall or short, high or low, far or near (6.1.1)
- You can measure length with units such as clips, hand spans and steps, and say which is longer (6.1.2, 6.1.3)
- You can say which things are heavy or light, and weigh and compare mass with marbles or tins (6.1.1, 6.1.2)
- You can say the volume of a liquid as full, half, quarter, a lot or a little (6.1.1)
- You can count cups to measure and compare the volume of liquids (6.1.2, 6.1.3)
- You can solve simple problems on length, mass and volume of liquid (6.2.1)
6.1Long and short, tall and short
We compare length with words. A long ribbon is not short. A tall tree is not short.
| Word | Opposite |
|---|---|
| long | short |
| tall | short |
| high | low |
| far | near |
A bird that flies up high is high. A bird near the ground is low.
A pinang tree is tall. What is a small bush?
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short.
6.2Measure length
We can measure length with small things of the same size, such as paper clips. Put them end to end with no gaps. Start at one end of the object.
5 clips is more than 3 clips, so the pencil is longer than the crayon. The crayon is shorter.
We can also use a hand span, a step or an arm span. The answer is "about" because every child has a different size.
Amni gets 6 hand spans and Kaswini gets 5 for the same table. Both are right. Hands are different sizes, so the number is different.
A book is 4 clips long. A pen is 6 clips long. Which is longer?
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The pen. 6 is more than 4.
6.3Heavy and light
A gas cylinder is heavy. We use a trolley to carry it. A box of tissues is light. We can carry it.
| Heavy | Light |
|---|---|
| lorry, gas cylinder, big rock | feather, tissue box, leaf |
A big thing is not always heavy. A big balloon is light. A small stone can be heavy.
Is a feather heavy or light?
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Light.
6.4Weigh and compare mass
Mass tells us how heavy something is. We can weigh with small things of the same kind, such as marbles or tins.
5 is less than 8, so the red book is lighter. The blue book is heavier.
Sugar, rice and soya sauce
The mass of soya sauce is less than sugar. Rice is more than sugar.The lightest is soya sauce. The heaviest is rice.
A bag is 3 tins and a box is 7 tins. Which is heavier?
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The box. 7 tins is more than 3 tins.
6.5Volume of liquid
Volume is how much liquid is in a container.
- Full: no space left at the top.
- Half: 2 equal parts, 1 part filled.
- Quarter: 4 equal parts, 1 part filled.
- A little is not much. A lot is much.
A bottle has water up to the middle. Is it full, half or quarter?
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Half.
6.6Measure and compare volume
Pour the liquid into cups of the same size. Count the cups.
6 cups is more than 3 cups. Jug P has the most volume. Jug Q has the least.
Use cups of the same size every time. Different cups give an unfair measurement.
Milk fills 4 cups and tea fills 7 cups. Which has more volume?
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Tea. 7 cups is more than 4 cups.
6.7Solve problems
Length
The pen is 4 clips long. The pencil is 5 clips long. Which is longer?5 is more than 4, so the pencil is longer.
Mass
Sugar is 3 tins. Flour is 6 tins. Which is lighter?3 is less than 6, so sugar is lighter.
Volume
Juice is 6 cups. Milk is 2 cups less than juice.6 take away 2 is 4. Milk is 4 cups.
Look for the key words: more, less, longer, shorter, heavier, lighter. Then compare the numbers.
A rope is 8 clips. A string is 5 clips. Which is shorter?
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The string. 5 is less than 8.
Summary
- Length: long and short, tall and short, high and low, far and near.
- Measure length with clips, hand spans or steps. A bigger number means longer.
- Mass: heavy and light. A bigger number of marbles means heavier.
- Volume: full, half, quarter, a lot, a little. A bigger number of cups means more volume.