Page 161 - NUMINO TG_5A
P. 161
10Unit Multiply Mixed Numbers
jOb ective Learn how to multiply whole numbers and mixed numbers.
1. Textbook Instructions 10 Multiply Mixed Numbers
In this unit, students will learn how to multiply If the area of chocolate A is 1, what is
different combinations of mixed numbers, the area of chocolate B?
fractions, and whole numbers. Solve the first
problem with students.
Example: Find the area of chocolate B.
Step 1: Find the area of one segment, the top AB
third, of chocolate B. 1 2( 1 ) 2( 1 ) Find the area of each chocolate piece. Write the correct numbers in the blanks.
3 3
Step 2: If the top third of chocolate B is 2( 1 ), 1 2 1 = (1 2) ·1 1 ‚ = 2 1
3 3 3 3
find the area of the whole three thirds.
3 2( 1 ) (3 2) (3 1 ) 1 1 2
3 3 3 3
2 2 = (2 2) ·2 ‚ = 4 3
326
3 1 1
3
617 3 2 1 = (3 2) ·3 1 ‚ = 7
Area of chocolate B 7 3 3
Discuss with students how to multiply mixed What is the area of chocolate B? 7
Chat
numbers and whole numbers. Discuss how you can multiply mixed numbers and whole numbers.
Refer to . Mixed numbers can be multiplied by multiplying the whole numbers and fractions
separately and then adding those values.
88
2. Build Understanding
The simplest method for multiplying a mixed number by a whole number is to break the mixed number into
parts, multiply each part by the whole number, and then add the result. Use the example above as a
demonstration of this. 1
3
1. Determine the two multipliers. 3 2 ( )
2. Split the mixed number into a whole number and a fraction. 2 and 1
3
1
3. Multiply both parts by the whole number. (3 2) (3 3 )
4. Add the products to find a single solution. 6 1 7
144 NUMINO Teacher s Guide
jOb ective Learn how to multiply whole numbers and mixed numbers.
1. Textbook Instructions 10 Multiply Mixed Numbers
In this unit, students will learn how to multiply If the area of chocolate A is 1, what is
different combinations of mixed numbers, the area of chocolate B?
fractions, and whole numbers. Solve the first
problem with students.
Example: Find the area of chocolate B.
Step 1: Find the area of one segment, the top AB
third, of chocolate B. 1 2( 1 ) 2( 1 ) Find the area of each chocolate piece. Write the correct numbers in the blanks.
3 3
Step 2: If the top third of chocolate B is 2( 1 ), 1 2 1 = (1 2) ·1 1 ‚ = 2 1
3 3 3 3
find the area of the whole three thirds.
3 2( 1 ) (3 2) (3 1 ) 1 1 2
3 3 3 3
2 2 = (2 2) ·2 ‚ = 4 3
326
3 1 1
3
617 3 2 1 = (3 2) ·3 1 ‚ = 7
Area of chocolate B 7 3 3
Discuss with students how to multiply mixed What is the area of chocolate B? 7
Chat
numbers and whole numbers. Discuss how you can multiply mixed numbers and whole numbers.
Refer to . Mixed numbers can be multiplied by multiplying the whole numbers and fractions
separately and then adding those values.
88
2. Build Understanding
The simplest method for multiplying a mixed number by a whole number is to break the mixed number into
parts, multiply each part by the whole number, and then add the result. Use the example above as a
demonstration of this. 1
3
1. Determine the two multipliers. 3 2 ( )
2. Split the mixed number into a whole number and a fraction. 2 and 1
3
1
3. Multiply both parts by the whole number. (3 2) (3 3 )
4. Add the products to find a single solution. 6 1 7
144 NUMINO Teacher s Guide
