Unit 5 Multiplying Whole Numbers by Fractions January

Unit 5 Multiplying Whole Numbers by Fractions January 10, 2013

Unit 5 Fraction Standards § MCC 4. NF. 4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

§ MCC 4. NF. 4 a. Understand a fraction a/b as a multiple of 1/b. § MCC 4. NF. 4 b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. § MCC 4. NF. 4 c. Solve word problems involving multiplication of a fraction by a whole number, e. g. , by using visual fraction models and equations to represent the problem.

Visual Models April wants to make a batch of chocolate chip cookies and needs 1/3 cup of chocolate chips. How can the information in the problem be represented by a visual model?

If April makes two batches of chocolate chip cookies, what fraction of a cup of chocolate chips will be needed?

If April decides to make four batches of chocolate chip cookies, what amount of chocolate chips will be needed?

How can this information be represented by an addition equation? By a multiplication equation?

How can a fraction model help to show 4 x 1/3 = 1 1/3? 1/3 1/3

Each day Courtney practices guitar for 2/3 hour. In four days, how many hours does she practice? How many wholes would this equal? How can this be indicated by an addition sentence?

Miguel fills 4 plastic cups with orange juice. Each plastic cups holds 5/6 cups of orange juice. What is the total amount of orange juice?

Build one-whole using one color of fraction pieces.

Write the multiplication equation § for 5 times the fraction. 5 x 4/4 =20/4=5 =

If a bucket holds 1 5/6 gallons and 5 buckets of water fill a tank, how much water does the tank hold? Write the multiplication equation and solve.

Counting Around the Class 0 1/4 2/4 3/4 4/4 1 5/4 6/4 7/4 8/4 2

Jake bought three kinds of pizza for a party. Each pizza was the same size. People were not hungry, and at the end of the party there was ¾ of each pizza left. How much pizza was left in all? What equation could represent this problem?

1/4 1/4 1/4 3 x ¾ = 9/4 or 2 1/4

Eggs come in cartons of 12. Richard was making cakes for a party and used 2 cartons of eggs. How many eggs did he use? Sabrina was making a cake for herself. She used ¼ of a carton of eggs. There are 12 eggs in each carton. How many eggs did she use?

Number Equation of of Eggs in of Eggs Cartons a Carton 1 2 12 24 2 x 12 2 1/4 12 3 ¼ x 12

A grocery store sells bags of 9 apples. Anna used 2/3 of the apples in a bag in an apple pie. How many apples did she use in the pie?

Unit 6 Fractions and Decimals

MCC 4. NF. 5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

Find the tenths Decimal Square with 3 parts shaded. §What is the fraction for the shaded amount of the square? §Find the hundredths square with the same amount shaded? What fraction is shaded? §Write an equation to show that these two squares have the same amount of shading.

To make purple paint, Josh mixes 6/10 liter of red paint with 15/100 liter of blue paint. How many liters of purple paint will he make?

Sally bought 5/10 pound of ham and 25/100 pound of turkey. How many pounds of meat did Sally buy?

Tommy decided to mix some nuts that he had shelled. He had 7/10 pound of walnuts and 45/100 pound of cashews. How many pounds of nuts did Tommy have?

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

Decimal Notation How do you write the decimal represented on this square? 0. 8 or eight tenths

Decimal Notation How do you write the decimal represented on this square? . 35 or thirty-five hundredths

Relationship between decimals and fractions

Placing decimals on a number line . 73 . 5 Place the decimal. 5 on the number line. Place the decimal. 73 on the number line.

Placing decimals on a number line 2. 45 Place the decimal 2. 45 on the number line. Between what two numbers is the decimal 2. 45?

MCC 4. NF. 7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e. g. , by using a visual model.

Equality of Decimals Find the tenths square that has. 6 shaded. Describe the hundredths square with the same amount shaded and write it’s decimal.

Find the hundredths square with 45 parts shaded and write its decimal. We can also think of this decimal as 4 tenths and 5 hundredths, since the first 4 columns have the same amount of shading as 4 columns on a tenths square.

Inequality of Decimals Select two decimal squares, write the decimal for each, and then write an inequality statement using the symbols >, <. . 50 >. 35