Math chapter 1

Chapter 1: Vocabulary Words Divide - To separate into equal groups; the opposite

operation of multiplication

Dividend – Total amount ~ the number being divided in a division problem Example: 500 ÷ 10 = 50

Divisor – The number that divides the dividend ~ number of equal groups or number in each group Example: 500 ÷ 10 = 50

Quotient – The answer to a division problem (not including the remainder) Example: 500 ÷ 10 = 50

Vocabulary continued

Equation – uses an equal sign to show that two amounts are equal

Inverse Operations – operations that undo one another Example: multiplication & division; addition & subtraction

Variable – a letter or symbol that stands for one or more numbers

Remainder – the amount left over when a number cannot be divided equally Example: 501 ÷ 10 = 50 r1

Vocabulary continued Distributive Property - The property that

states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products

Partial Quotients - A method of dividing in which multiples of the divisor are subtracted from the dividend and then the quotients are added together.

Chapter 1 Lesson 1 Division Concepts

Complete the diagramCircle & underline important information

Remainders:

Problem Solving pg.8Draw a picture to solve.

14. Lindsey took 40 photos. She wants to arrange her photos in a scrapbook, with 5 photos on each page. How many pages will Lindsey need? How many photos will Lindsey have left over?

Draw a picture to solve

15. Grace arranges 20 field trip photos equally on 4 pages. Dan arranges 18 photos equally on 3 pages. Who has more field trip photos on a page?

Write Math – Journal

When you divide, how do you know if you are finding the number in each equal group or the number of equal

groups?

Chapter 1 Lesson 2Investigate: Model 2-digit by 1-digit division

•With a partner complete Investigate pg. 9•Materials: base-ten blocks, pg. 9 Go Math! Textbook

Model Division & Draw a Quick Picture Connect pg. 10

Five types of turtles live in Florida’s waters. They are the green turtle, the hawksbill, the Kemp’s ridley, the leatherback, and the loggerhead.

Suppose there are 63 rescued sea turtles. They are divided equally among 4 large tanks. Any turtles left over are put in a small tank. How many turtles are in each large tank? How many are in the small tank?

Use the base-ten blocks to solve.Then draw a quick picture.

There are _____ sea turtles in each of the 4 tanks and ____ sea turtles in the small tank.

Problem Solving pg.12

What’s the Error?

Write Math - Journal

How can you use base-ten blocks to model and understand how to divide

whole numbers?

Chapter 1 Lesson 4Solve a Simpler Problem

Division & Multiplication

Use multiples of the divisor to help you solve a simpler problem.

Mark works in an animal shelter. To feed 6 dogs, Mark empties seven 12-ounce cans of dog food into a large bowl. If he divides the

food equally among the dogs, how many ounces of food will each dog get?

What multiples of 6 add up to 84?

Solve a simpler problem

84 ÷ 6(60 + 24) ÷ 6

Now you are going divide each of the addends by the divisor.

(60 ÷ 6) + (24 ÷ 6)

After you have divided each smaller problem add up the two quotients.

10 + 4 = 14

Therefore, 84 ÷ 6 = 14

Rules for solving a simpler division problem (distributive

property) The two smaller dividends MUST add up

to the original dividend.Example: (91 ÷ 7)

(70 + 21) = 91

The two smaller dividends MUST be evenly divisible by the divisor.Example: (70 ÷ 7) + (21 ÷ 7)

10 + 3

The divisor NEVER changes.

Solve by making a simpler problem

Share & Show pg. 19 #4

Eileen is planting a garden. She has seeds for 35 tomato plants, 25 sweet corn plants, and 18 cucumber plants. She plants them in 6 rows, with the same number in each row. How many seeds are planted in each row?


How can solving a simpler problem help you to solve a difficult problem?

Chapter 1 Lesson 5 Explore Division Methods


Use the supply list to solve 14-16Use partial quotients to solve the problem.

14. Some students are making story maps out of construction paper. Each student uses 6 sheets of construction paper, and no paper is left over. How many students are making story maps?

Division problem: ___ ÷ ___

___ students are making story maps.


Use the supply list to solve 14-16

Use partial quotients to solve the problem.

15. Each class that enters the model bridge competition must submit at least 5 models. Each model takes exactly 9 straws and 6 paper clips. Does this class have enough supplies to participate in the competition? Explain your reasoning.


17. Jacob and Gracie used partial quotients to solve 96 ÷ 8. Jacob used 10 x 8 and 2 x 8 to solve the problem. Gracie used 5 x 8, and 2 x 8 to solve the problem. Explain why both methods are correct.

Chapter 1 Lesson 6 Estimate Quotients and Use Mental

Math Susan is biking the 42-mile Suncoast Trail from north

of Brooksville to Land O’Lakes. She plans to stop every 5 miles along the trail to drink water. About how many times does Susan plan to stop for water

on the trail?

What phrase is used to indicate you are looking for an estimate and not an exact answer?

Estimate 42 ÷ 5 Use multiplication: 5 x __ = 40 5 x __ = 45 Use division: 40 ÷ 5 = __ 45 ÷ 5 = __

Since ___ is closest to 42, a good estimate for 42 ÷ 5 is about ___.So, Susan will stop for water about ___ times.

Mental Math – Use the Distributive Property can help you rewrite a dividend so it’s easier to divide.

Example 1: Divide 76 ÷ 4 Step 1 – Break apart the dividend into addends whose sums

equal the dividend. These addends should be easily divisible by the divisor.○ (40 + 36) ÷ 4

Step 2 – Use mental math to divide the addends by 4.○ (40 ÷ 4) + ( 36 ÷ 4) 10 + 9 Therefore, 76 ÷ 4 = 19

Example 2: Divide 51 ÷ 3You can use a close dividend and compensate by adding or subtracting the difference.

Think: 51 is close to 60, and you can mentally divide by 3.Think: 51 is 9 less than 60. Compensate by subtracting 9 from 60.

(60 – 9) ÷ 3(60 ÷ 3) - (9 ÷ 3)

20 - 3Therefore, 51 ÷ 3 = 17

Problem Solving pg. 30

18. Mrs. Johnson makes 78 cupcakes for the fifth-grade classes. She will put the 6 cupcakes in each of several boxes. How many boxes will Mrs. Johnson need for all of the cupcakes?

Write a division problem that can be used to solve the problem.

Solve the problem and explain your reasoning.


How can basic facts and the Distributive Property help you estimate a quotient or

calculate the quotient mentally?

Chapter 1 Lesson 7

Practice Division

DMSB – Divide Multiply Subtract Bring down

Checking division – use the inverse operation of division (multiplication) to check your answer to a

division problem. To check your answer to a division problem,

multiply the quotient by the divisor. The product should be the dividend.

Divide: 84 ÷ 7 Divide: 79 ÷ 6

Check: Check:

Unlock the Problem pg. 34

30. The owner of a palm-tree farm has 23 silver date palms and 42 pygmy date palms. He plans to plant all the palms in 5 rows that have equal numbers of trees. How many palms will be in each row?

The palm-tree farm has a total of ___ palms. There are ___ rows of palms. There are ___ palms in each of the rows.


How can you use place value to solve a division problem?

Chapter 1 Lesson 8Solve Equations

Equation – a number sentence that uses the equal sign to show the two amounts are equal.

Variable – a letter or symbol that stands for an unknown number or numbers

Try This! Pg. 36


25. David has 36 apples. He will give an equal amount of them to each of 6 friends. How many apples will David give to each friend? Use the equation 36 ÷ a = 6 to find a, the number of apples each friend will get.

Each friend will receive ___ apples.


26. Debbie will make 4 equal payments for a new game. The game costs $36. How much will each payment be? Use the equation 36 ÷ p = 4 to find p, the amount of each payment.


How can you use mental math to solve a division problem?

Chapter 1 Review

Math chapter 1

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Transcript of Math chapter 1