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070_G5U13_G6U15_TG 2014.4.18 3:35 PM ˘ ` 195
13Flip It Over Unit
2. Have students solve the word problems by using
Have students derive a number sentence from each word problem to solve. the four steps to problem solving.
2 . Solve the word problems.
a. 4 8 2a.
5 15
There is kg of sand. One bottle can hold kg of sand. How many Understand the Question
bottles are needed to carry all the sand?4 8 1 1 Q: What do you need to find?
15 2 2
5 ı 1 , 1 bottles are needed. 8
15
A: How many bottles are needed to hold kg
of sand.
Q: Read the problem again. What do you know?
b. The area of the white paper is 9 m2, and the A: One bottle holds 1 kg of sand.
10 3
Plan the Process
area of the blue paper is 2 m2. Q: How will you solve the problem?
5
How many times larger is the area of the white A: I will solve the problem by setting up a division
paper than the area of the blue paper? equation.
9 2 1 Step 1: Find the dividend in a division, the number
10 9 4
ı 2 , that is being divided.
The white paper is 2 1 times larger than the blue paper. Step 2: Find the divisor, the number that divides
4
into the dividend.
Step 3: Set up the equation.
c. The distance between Jessica’s 4_ Solve the Problem
9
6 miles
7
house and the school is miles. Step 1: Make a multiplication sentence using
The distance between Ricky’s house Ricky’s reciprocals.
house
4 school Step 2: Simplify by cross reduction and solve.
9
and the school is miles. Step 3: Answer the problem in word sentence.
How many times longer is the Jessica’s 6_ miles 1 1 bottles are needed to carry 4 kg of
distance between Jessica’s house house 7 2 5
sand.
and the school than the distance between Ricky’s house and the school? Look Back
6 ı 4 1 13 To check your answer, multiply the quotient with the
7 9 14
The school is 1 13 times longer from Jessica’s house than Ricky’s house. divisor and get the original dividend. Therefore, the
14
1 8 3 8 4
13. Flip It Over 121 answer is correct. 1 2 15 2 15 5
quotient divisor dividend
Constructing Division Equations
Always determine which number is being divided first. This is the dividend and comes beginning of the
equation.
The divisor, the number that divides into the dividend, comes after the division sign.
Before immediately solving the division equation, rewrite the original equation into a multiplication
equation using reciprocals.
To simplify the equation, always check if cross reduction of fractions is possible before solving.
5A Unit 13 195
13Flip It Over Unit
2. Have students solve the word problems by using
Have students derive a number sentence from each word problem to solve. the four steps to problem solving.
2 . Solve the word problems.
a. 4 8 2a.
5 15
There is kg of sand. One bottle can hold kg of sand. How many Understand the Question
bottles are needed to carry all the sand?4 8 1 1 Q: What do you need to find?
15 2 2
5 ı 1 , 1 bottles are needed. 8
15
A: How many bottles are needed to hold kg
of sand.
Q: Read the problem again. What do you know?
b. The area of the white paper is 9 m2, and the A: One bottle holds 1 kg of sand.
10 3
Plan the Process
area of the blue paper is 2 m2. Q: How will you solve the problem?
5
How many times larger is the area of the white A: I will solve the problem by setting up a division
paper than the area of the blue paper? equation.
9 2 1 Step 1: Find the dividend in a division, the number
10 9 4
ı 2 , that is being divided.
The white paper is 2 1 times larger than the blue paper. Step 2: Find the divisor, the number that divides
4
into the dividend.
Step 3: Set up the equation.
c. The distance between Jessica’s 4_ Solve the Problem
9
6 miles
7
house and the school is miles. Step 1: Make a multiplication sentence using
The distance between Ricky’s house Ricky’s reciprocals.
house
4 school Step 2: Simplify by cross reduction and solve.
9
and the school is miles. Step 3: Answer the problem in word sentence.
How many times longer is the Jessica’s 6_ miles 1 1 bottles are needed to carry 4 kg of
distance between Jessica’s house house 7 2 5
sand.
and the school than the distance between Ricky’s house and the school? Look Back
6 ı 4 1 13 To check your answer, multiply the quotient with the
7 9 14
The school is 1 13 times longer from Jessica’s house than Ricky’s house. divisor and get the original dividend. Therefore, the
14
1 8 3 8 4
13. Flip It Over 121 answer is correct. 1 2 15 2 15 5
quotient divisor dividend
Constructing Division Equations
Always determine which number is being divided first. This is the dividend and comes beginning of the
equation.
The divisor, the number that divides into the dividend, comes after the division sign.
Before immediately solving the division equation, rewrite the original equation into a multiplication
equation using reciprocals.
To simplify the equation, always check if cross reduction of fractions is possible before solving.
5A Unit 13 195
