Here is a rectangle.
1
Here is a rectangle.
Here is a square.
You may be familiar with base-ten blocks that represent ones, tens, and hundreds. Here are some diagrams that we will use to represent digital base-ten units. A large square represents 1 one. A rectangle represents 1 tenth. A small square represents 1 hundredth.
Here is the diagram that Priya drew to represent 0.13.
Draw a different diagram that represents 0.13 in the applet. Explain why your diagram and Priya’s diagram represent the same number.
Here is the diagram that Han drew to represent 0.25.
Draw a different diagram that represents 0.25 in the applet. Explain why your diagram and Han’s diagram represent the same number.
For each of these numbers, draw or describe two different diagrams that represent it.
0.1
0.02
0.43
Use diagrams of base-ten units to represent the following sums and find their values. Think about how you could use as few units as possible to represent each number.
0.4 + 0.7
Here are two ways to calculate the value of
Why ten squares can be “bundled” into a rectangle.
How this “bundling” is reflected in the computation.
The applet has tools that create each of the base-ten blocks. Select a Block tool, and then click on the screen to place it.
https://curriculum.illustrativemathematics.org/MS/students/1/5/2/index.html
[Scroll to the tool under "2.3: Finding Sums in Different Ways "]
Find the value of
Calculate
Find each sum. The larger square represents 1, the rectangle represents 0.1, and the smaller square represents 0.01.
Here are diagrams that represent differences. Removed pieces are marked with Xs. The larger rectangle represents 1 tenth. For each diagram, write a numerical subtraction expression and determine the value of the expression.
Express each subtraction in words.
Find each difference by drawing a diagram and by calculating with numbers. Make sure the answers from both methods match. If not, check your diagram and your numerical calculation.
