2. Measurement and Geometry 47

3. 1 kg x 10 x 10 x 10 kilogram hectogram decagram gram ÷ 10 ÷ 10 ÷ 10
÷ ÷ ÷ 10
Measurement and Geometry 47

4. Measurement and Geometry 47

5. Record a metric measurement chart: • starting with a gram,
Investigation:
Record a metric measurement chart:
• starting with a gram,
• multiplying by 10 to get a decagram,
• multiplying by 10 to get a hectogram,
• multiplying by 10 to get a kilogram.
Explain it to a friend.
Select a set of scales, a kilogram weight and a gram weight.
Place the kilogram weight on the set of scales and explain what happens.
Place the gram weight on the set of scales and explain what happens.
Reflection: How is metric measurement based on multiplicative place value?
How can we use a set of scales to measure the mass of 1 kilogram and 1 gram?
Problem Solving
Mira drew this metric measurement chart.
What unit of measurement is missing?
Problem Solving
Arnold measured the mass of an object using a set of scales.
What is the mass of the object?
Measurement and Geometry 47

6. Mass of box of staples = 500 grams 1 kilogram = 1000 grams
kilo means thousand
kilogram means thousand grams
500 = 𝟏 𝟐 of 1000
500 grams = 𝟏 𝟐 kilogram
1 gram = 𝟏 𝟏𝟎𝟎𝟎 kilogram
500 grams = 𝟓𝟎𝟎 𝟏𝟎𝟎𝟎 kilogram = 𝟏 𝟐 kilogram
Mass of box of staples = 𝟏 𝟐 kilogram
Measurement and Geometry 47

7. Mass of container of rice = 250 grams 1 kilogram = 1000 grams
kilo means thousand
kilogram means thousand grams
250 = 𝟏 𝟒 of 1000
250 grams = 𝟏 𝟒 kilogram
1 gram = 𝟏 𝟏𝟎𝟎𝟎 kilogram
250 grams = 𝟐𝟓𝟎 𝟏𝟎𝟎𝟎 kilogram = 𝟏 𝟒 kilogram
Mass of container of rice = 𝟏 𝟒 kilogram
Measurement and Geometry 47

8. Mass of large container of rice = 1250 grams 1 kilogram = 1000 grams
kilo means thousand
kilogram means thousand grams
250 = 𝟏 𝟒 of 1000
250 grams = 𝟏 𝟒 kilogram
250 grams = 𝟐𝟓𝟎 𝟏𝟎𝟎𝟎 kilogram = 𝟏 𝟒 kilogram
Mass of container of rice = 1 𝟏 𝟒 kilograms
Measurement and Geometry 47

9. Place an object on to a set of scales. Identify the mass on the scale.
Investigation:
Place an object on to a set of scales.
Identify the mass on the scale.
Record the mass of the object in grams.
If the mass is greater than 1 kilogram, record the mass as a number of kilograms and a number of grams.
If the number of grams is 250, 500 or 750, record them as a fraction of a kilogram.
Reflection: How can we measure and convert mass in grams and kilograms on a set of scales?
Problem Solving
Jill measured the mass of an object on a set of scales.
Is the object (a) kilogram (b) kilogram (c) kilogram
Problem Solving
Jill measured the mass of an object on a set of scales.
Is the object (a) kilograms (b) kilograms (c) kilograms
Measurement and Geometry 47

10. Measurement and Geometry 47

11. Record the mass of the object as a number of grams.
Investigation:
Place an object with a mass of 100 grams, 200 grams, 300 grams, 400 grams, 500 grams, 600 grams, 700 grams, 800 grams or 900 grams onto a set of scales, for example, pre-prepared containers of rice, sand or water.
Record the mass of the object as a number of grams.
Use your understanding that there are 1000 grams in a kilogram, that a gram is 𝟏 𝟏𝟎𝟎𝟎 kilogram and of the relationship between the numerator and denominator in equivalent fractions, to record the mass as a fraction of a kilogram, for example, 𝟏 𝟏𝟎 , 𝟐 𝟏𝟎 , 𝟑 𝟏𝟎 , 𝟒 𝟏𝟎 , 𝟓 𝟏𝟎 , 𝟔 𝟏𝟎 , 𝟕 𝟏𝟎 , 𝟖 𝟏𝟎 , 𝟗 𝟏𝟎 of a kilogram.
Reflection: How can we measure and convert mass in grams and kilograms on a set of scales?
Measurement and Geometry 47

12. Check by looking in the bag.
Investigation:
Have a friend secretly place an object in a paper bag and place it on a set of scales.
Identify the mass.
Use your understanding of the mass to make suggestions about what object could be in the bag.
Check by looking in the bag.
Reflection: How can we measure and convert mass in grams and kilograms on a set of scales?
Measurement and Geometry 47

13. Record the mass of the rice/ sand / water.
Investigation:
Place an empty container on a set of scales and adjust the settings to zero.
Fill the container with rice, sand, water, etc, until it has a mass of 1 kilogram, 𝟏 𝟐 , 𝟏 𝟒 , 𝟑 𝟒 , 𝟏 𝟏𝟎 , 𝟐 𝟏𝟎 , 𝟑 𝟏𝟎 , 𝟒 𝟏𝟎 , 𝟓 𝟏𝟎 , 𝟔 𝟏𝟎 , 𝟕 𝟏𝟎 , 𝟖 𝟏𝟎 , 𝟗 𝟏𝟎 of kilogram.
Record the mass of the rice/ sand / water.
Reflection: How can we measure and convert mass in grams and kilograms on a set of scales?
Measurement and Geometry 47

14. Record the number of objects and the mass.
Investigation:
Have a goal mass of 1 kilogram or a fraction of a kilogram, for example, 𝟏 𝟐 , 𝟏 𝟒 , 𝟑 𝟒 , 𝟏 𝟏𝟎 , 𝟐 𝟏𝟎 , 𝟑 𝟏𝟎 , 𝟒 𝟏𝟎 , 𝟓 𝟏𝟎 , 𝟔 𝟏𝟎 , 𝟕 𝟏𝟎 , 𝟖 𝟏𝟎 , 𝟗 𝟏𝟎 of kilogram.
Select a light object.
Estimate the number of objects you think you will need to place on the set of scales to make the goal mass.
Place the objects on the set of scales until it reaches your goal mass.
Record the number of objects and the mass.
Reflection: How can we measure and convert mass in grams and kilograms on a set of scales?
Measurement and Geometry 47