Module 12 Opener and Lesson 12.1

Module 12 Opener and Lesson 12.1

4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100.

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Module 12.1

I can use a visual model and decimal notation to represent fractions, mixed numbers, and decimals in tenths.

Spark Your Learning

The diagram shows the heights of a plant at the end of each of 3 weeks. After Week 1, the plant is 3/10​ meter tall. Another way to represent the height is 0.3 meter. Both 3/10​​ and 0.3 can be read as three tenths. They represent 3 parts of 10 equal parts of a whole.

How can we solve this?

• https://toytheater.com/fraction-strips/

• https://toytheater.com/decimal-strips/

• The information that is given in the problem shows that another way to represent the height 3/10 meter is 0.3 meter. I used this information to represent 5/10​​ meter also as 0.5 meter. I used this information to represent 7/10​​ meter also as 0.7 meter.

Multiple Choice

So what is another way to write 5/10 as a decimal?

• 0.5

• 5

• 50

• 0.05

Let's go over some vocabulary.

A tenth is one of ten equal sized parts. 

A decimal point is a dot that separates the ones place from the tenths place in a number. 

A decimal is a number that has one or more digits to the right of a decimal point.

We are going to apply these terms to some problems.

These are some ways that we could represent 1 and 1/10 visually.

Multiple Choice

How would we represent 1 and 1/10 as a decimal?

• 1 and 1/10

• 11

• 1.10

• 1.010

Build Understanding

The tenths models show how many cups of water Tina uses to water a tomato plant.

Multiple Choice

Which sentence describes the amount of water Tina uses?

• Tina uses one whole cup and two tenths of a cup of water.

• Tina uses two whole cups and eight tenths of a cup of water.

• Tina uses three whole cups of water.

How did we get this answer?

Each whole tenths model represents 1 whole. There are 2 whole tenths models that are shaded. The tenths model is a whole that is divided into 10 equal parts. Each equal part represents one tenth of a whole. There are 8 tenths of a whole that are shaded in the last model.

What is a mixed number?

A mixed number is a whole number, and a proper fraction represented together.

Multiple Choice

How can you write the amount of water that Tina uses as a mixed number?

• 1 and ​2/10​ cups

• 2​ and 8/10 cups

• 3​ cups

How did we get this answer?

A mixed number shows a whole part and a fraction part. Tina uses 2 whole cups. Write 2 as the whole part. Tina uses eight tenths of a cup. Write ​8/10 as the fraction part. The amount of water that Tina uses written as a mixed number is  2 and 8/10​.

Fill in the Blanks

How would we write 2 and 8/10 as a decimal?