# Decompose a Kilogram

Videos to help Grade 3 students learn how to build and decompose a kilogram to reason about the size and weight of 1 kilogram, 100 grams, 10 grams, and 1 gram.

Common Core Standards: 3.NBT.2, 3.MD.2, 3.NBT.8

New York State Common Core Math Module 2, Grade 3, Lesson 6

Application Problem
(from lesson 7)
Justin put a 1-kilogram bag of flour on one side of a pan balance.
How many 100-gram bags of flour does he need to put on the other pan to balance the scale?

Concept Development
Part 1: Use a pan balance to make a bag of rice that weighs 1 kilogram.
Part 2: Decompose 1 kilogram.

Homework

a. Isaiah puts a 10 gram weight on a pan balance. How many 1 gram weights does he need to balance the scale?
b. Next, Isaiah puts a 100 gram weight on a pan balance. How many 10 gram weights does he need to balance the scale?
c. Isaiah then puts a kilogram weight on a pan balance. How many 100 gram weights does he need to balance the scale?
d. What pattern do you notice in Parts (a - c)?
2. Read each digital scale. Write each weight using the word kilogram or gram for each measurement.

How to decompose a kilogram?
A kilogram is a unit used to measure weight.
To record 1 kilogram, we abbreviate the word kilogram by writing kg.
1 kg = kilogram.

The whole bag contains 1 kilogram of rice. We just partitioned the rice into 10 equal parts. These equal parts can be measured with a smaller unit of weight called grams. Each part is 100 grams.

How many hundreds are in 1 kilogram of rice? 10 hundreds
How many grams of rice are in the whole bag? 1,000 grams!

One kilogram of rice is the same as 10 hundreds, or 1,000 grams of rice.

Homework

a. Isaiah puts a 10 gram weight on a pan balance. How many 1 gram weights does he need to balance the scale?
b. Next, Isaiah puts a 100 gram weight on a pan balance. How many 10 gram weights does he need to balance the scale?
c. Isaiah then puts a kilogram weight on a pan balance. How many 100 gram weights does he need to balance the scale?
d. What pattern do you notice in Parts (a - c)?
2. Read each digital scale. Write each weight using the word kilogram or gram for each measurement.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 