Write an Equation - MathCoach Interactive

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Use a variety
of methods, such as words, numbers, symbols,
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charts, graphs, tables, diagrams, and models, to explain
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mathematical reasoning.
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UNDERLYING SKILLS AND CONCEPTS:
read word problems;
choose the operation
Write an Equation
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K
ey Ide
When you solve problems, use the 4-step
Problem-Solving Plan. When you get to Step 3,
try writing an equation to solve the problem.
E x am p l E
1. What do you need to
find out?
In what year was John Glenn’s first trip into
space?
2. What information can
you use?
His first trip was 36 years before his 1998 trip.
3. How can you solve the
problem?
You can write and solve an equation.
Since his first trip was 36 years before 1998,
you can subtract.
1998 ! 36 " 1962
So, 1962 was the year of Glenn’s first flight.
4. How can you check
your answer?
page 230
To check, add 36 years to 1962.
If you get 1998, your calculation is correct.
Chapter 20 – Lesson 1
D – © CSL Associates, Inc. All rights reserved.
In 1998, John Glenn flew into space for the second time. The first time
was 36 years earlier. In what year was Glenn’s first space flight?
Name
P RAC T I C E
Solve. Explain your strategy.
1. Blue Canyon, California is the
snowiest place in the United
States. It gets a yearly average of
240 inches of snow. Marquette,
Michigan, in second place, gets
111 inches less than that. How
much snow does Marquette get on
average each year?
240 111 129 in.
2. A video game that has a price of
$38.99 actually costs $42.11 if the
sales tax rate is 8%. How much is
the amount of the sales tax?
D – © CSL Associates, Inc. All rights reserved.
$42.11 $38.99 $3.12
3. Each year, Americans eat an
average of about 24 pounds of
lettuce. This is 3 times more than
the amount of carrots Americans
eat each year. About how many
pounds of carrots does the average
American eat each year?
4. Hundreds of people claim to have
seen Bigfoot. One footprint that
was found was 41 centimeters
long. Its width was 25 centimeters
less than its length. How wide was
the footprint?
41 25 16 cm
5. A rectangular rug has an area
of 48 square feet. It measures
72 inches on one side. What are
the dimensions of the rug?
(Hint: Convert inches to feet first.)
72 inches 6 feet
So one measure is 6.
48 6 8. The rug is 8
feet long and 6 feet wide.
24 3 8 pounds
Math
Reasoning
Problem Solving
MR 2.6
6. A football field is a rectangle 120 yards long.
Its perimeter is 346 yards.
Find the width of this football field.
P l l w w; l 120 yd; P 240 w w
346 240 106; 106 2 53 The field is 53 yards wide.
Chapter 20 – Lesson 1
page 231
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 154
Name
…at home!
P RAC T I C E
Solve. Explain your strategy.
240 129 111 in.
2. A paint set that has a price of
$25.99 actually costs $28.07 if the
sales tax rate is 8%. How much is
the amount of the sales tax?
$28.07 $25.99 $2.08
3. Each year, Americans eat an
average of about 24 pounds of
lettuce. This is 8 times more than
the amount of radishes Americans
eat each year. About how many
pounds of radishes does the
average American eat each year?
4. Hundreds of people claim to have
seen Bigfoot. One footprint that
was found was 41 centimeters
long. Its width was 16 centimeters.
How much longer is the footprint
than it is wide?
41 16 25 cm
5. A rectangular rug has an area
of 35 square feet. It measures
60 inches on one side. What are
the dimensions of the rug?
(Hint: Convert inches to feet first.)
60 inches 5 feet
So one measure is 5.
35 5 7. The rug is 7
feet long and 5 feet wide.
24 8 3 pounds
Math
Reasoning
Problem Solving
MR 2.6
6. A park is a rectangle 60 yards long. It is twice as long as it is wide. Find the
width of this basketball court. What is its perimeter?
l 60 yd; 2 w 60 yd; w 30 yd
P 2l 2w; , P 2 60 2 30; 120 60 180 yd.
346 240 106; 106 2 53 The field is 53 yards wide.
page 154
Home Resource and Homework
Chapter 20 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
1. Blue Canyon, California is the
snowiest place in the United
States. It gets a yearly average of
240 inches of snow. Marquette,
Michigan, in second place, gets
129 inches of snow. How much
more snow does Blue Canyon get
on average each year?
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:03 Page 425
Name
P RAC T I C E
Solve. Explain your strategy.
1. Blue Canyon, California is the
snowiest place in the United
States. It gets a yearly average of
240 inches of snow. Marquette,
Michigan, in second place, gets
111 inches less than that. How
much snow does Marquette get on
average each year?
240 111 129 in.
2. A video game that has a price of
$38.99 actually costs $42.11 if the
sales tax rate is 8%. How much is
the amount of the sales tax?
D – © CSL Associates, Inc. All rights reserved.
$42.11 $38.99 $3.12
3. Each year, Americans eat an
average of about 24 pounds of
lettuce. This is 3 times more than
the amount of carrots Americans
eat each year. About how many
pounds of carrots does the average
American eat each year?
4. Hundreds of people claim to have
seen Bigfoot. One footprint that
was found was 41 centimeters
long. Its width was 25 centimeters
less than its length. How wide was
the footprint?
41 25 16 cm
5. A rectangular rug has an area
of 48 square feet. It measures
72 inches on one side. What are
the dimensions of the rug?
(Hint: Convert inches to feet first.)
72 inches 6 feet
So one measure is 6.
48 6 8. The rug is 8
feet long and 6 feet wide.
24 3 8 pounds
Math
Reasoning
Problem Solving
MR 2.6
6. A football field is a rectangle 120 yards long.
Its perimeter is 346 yards.
Find the width of this football field.
P l l w w; l 120 yd; P 240 w w
346 240 106; 106 2 53 The field is 53 yards wide.
Chapter 20 – Lesson 1
Student Book Page
page 231
Name
…at home!
P RAC T I C E
Solve. Explain your strategy.
240 129 111 in.
2. A paint set that has a price of
$25.99 actually costs $28.07 if the
sales tax rate is 8%. How much is
the amount of the sales tax?
$28.07 $25.99 $2.08
3. Each year, Americans eat an
average of about 24 pounds of
lettuce. This is 8 times more than
the amount of radishes Americans
eat each year. About how many
pounds of radishes does the
average American eat each year?
4. Hundreds of people claim to have
seen Bigfoot. One footprint that
was found was 41 centimeters
long. Its width was 16 centimeters.
How much longer is the footprint
than it is wide?
41 16 25 cm
5. A rectangular rug has an area
of 35 square feet. It measures
60 inches on one side. What are
the dimensions of the rug?
(Hint: Convert inches to feet first.)
60 inches 5 feet
So one measure is 5.
35 5 7. The rug is 7
feet long and 5 feet wide.
24 8 3 pounds
Math
Reasoning
Problem Solving
MR 2.6
6. A park is a rectangle 60 yards long. It is twice as long as it is wide. Find the
width of this basketball court. What is its perimeter?
l 60 yd; 2 w 60 yd; w 30 yd
P 2l 2w; , P 2 60 2 30; 120 60 180 yd.
346 240 106; 106 2 53 The field is 53 yards wide.
page 154
Home Resource and Homework
Chapter 20 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
1. Blue Canyon, California is the
snowiest place in the United
States. It gets a yearly average of
240 inches of snow. Marquette,
Michigan, in second place, gets
129 inches of snow. How much
more snow does Blue Canyon get
on average each year?