4th Grade - Solve Similar Problems

 
     
 
     
 
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4th
Problem Solving
Solve Similar Problems
Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
Understand the strategy or algorithm used to help solve math problems, and be able to transfer the information in order to solve other problems.
 

Sample Problems

(1)

Name the polygon and find the perimeter. (pentagon)

(Pentagon; Perimeter=17cm)

(2)

Understanding time on a calendar

Explain how to find the date:

What is the date if it is 17 days after October 30? _____________

(November 16; know the amount of days in October is 31 and add the amount of days or look at a calendar and count the number of days from the date October 30.)

(3)

Mass

Choose the operation that can be used to change grams to kilograms. Solve the problem. 15,000 g = ______ kg


  1. grams x 1,000

  2. kilograms x 1,000

  3. grams ÷ 1,000


(c) (15 kg)

(4)

Choose the correct strategy

Choose the best way to solve the problem:


There are 24 children and 5 adult volunteers. How many children will be with each volunteer, if we make the groups as equal as possible?

  1. Draw a picture.

  2. Make a list

  3. Predict and test


(a)

(5)

Drawing Conclusions

What conclusion can be made from the line graph?


  1. The temperature on January 12

  2. The average temperature in New York in December

  3. The coldest day of the year


(b)

Learning Tips

(1)

Polygons

Name

Picture

Sides

Angles

Triangle

3

3

Quadrilateral

4

4

Pentagon

5

5

Hexagon

6

6

Octagon

8

8


Determine perimeter by adding all sides of a polygon.

(2)

Review with your child how to read a calendar. Count and name the days in a week. Count how many weeks are in each month (not always 4). Know how many days are in each month. Name and count the months in a year. Review centuries and decades. Give specific dates and have your child answer questions related to counting days, weeks, months, etc.

Units of time

1 week = 7 days

1 year = 12 months

1 year = about 52 weeks

1 year = 365 days

1 century = 100 years

1 decade = 10 years

(3)

Make graphs and draw conclusions about the information

(4)

Mass:

Vocabulary

Mass- the amount of matter in an object


Gram (g)- a metric unit of mass


Kilogram (kg)- one thousand grams


Mass equivalent

1 kg = 1,000 g


Use objects in your house and have your child determine if the object should be measured according to grams or kilograms. The lighter the object (measure in grams, i.e. tea bag) the heavier object (measure in kilograms, i.e. table).

(5)

Examples of problem solving strategies:

  • Draw a graph, table, diagram or picture

  • Make a model

  • Act it out

  • Make a list

  • Predict and test it out

  • Work backward from the solution

  • Break into simpler parts

  • Write an equation


Play a concentration game by having an example of a math problem using one of the problem solving strategies and the name of the strategy on a different card. The child will have to match the strategy with the math problem.

Extra Help Problems

(1)

Name the polygon and find the perimeter. _______________

(Octagon ;Perimeter=16in)

(2)

Name the polygon and find the perimeter. ______________

(Scalene Triangle; Perimeter=24in)





(3)

Name the polygon and find the perimeter. _______________

(Hexagon; Perimeter=24yd)

(4)

Name the polygon and find the perimeter. _________________


(Quadrilateral; Perimeter=24m)

(5)

Name the polygon and find the perimeter. __________________

(Pentagon; Perimeter=21cm)

(6)

Understanding time on a calendar

Find the missing number and explain the operation used.


3 year and 7 weeks = about ______ weeks


(Multiply 3 years x 52 weeks; then add 7 weeks = 163 weeks)

(7)

Understanding time on a calendar

Find the missing number and explain the operation used.


5 decades 104 weeks = ______ years

(Multiply 5 decades x 10 years; divide 52 into 104; add the years = 52 years)

(8)

Understanding time on a calendar

Find the missing number and explain the operation used.


4 centuries and 3 decades = ____ years

( Multiply 4 x 100; add 3 x 10 = 430 years)

(9)

Understanding time on a calendar

Find the missing number and explain the operation used.


89 weeks = _____ years ____ days

(Divide 52 into 89; multiply 37 x 7 = 1 year and 259 days)

(10)

Understanding time on a calendar

Find the date.


What year is 3 centuries and 2 decades after 1590? ________

(1910)

(11)

Choose the operation that can be used to change kilograms to grams. Solve the problem. 14 kg = ______ g


(a) grams x 1,000

(b) kilograms x 1,000

(c) grams ÷ 1,000


(b) (14,000)

(12)

Change to grams.

20 kg = _____ g


(20,000 g)

(13)

Change to kilograms.

17,000 g = _____ kg


(17 kg)

(14)

One serving of mashed potatoes is 85g. How many kilograms will serve 100 people? __________


(8.5 kg)

(15)

Choose the more reasonable measurement for a box of cereal.

  1. 100 g

  2. 10 kg


(a)

(16)

Choose the correct strategy-

Choose the best strategy to solve the problem:

Jared is painting his house and has to change the measurements from feet to yards. What is the best way to make the changes?


  1. Draw a diagram

  2. Make a table

  3. Predict and test


(b)

(17)

Choose the correct strategy-

Choose the best strategy to solve the problem:


Vanessa is taking a survey about the amount of books read over the summer for her fourth grade class. What is the best way to organize her information to find out who read the most books?

  1. Make a list

  2. Draw a picture

  3. Make a graph


(c)

(18)

Choose the correct strategy-

Choose the best strategy to solve the problem:


Mona jogged 3 miles each day for 2 weeks. How many miles did she jog in two weeks?

  1. Predict and test

  2. Find a pattern

  3. Write an equation


(c)

(19)

Choose the correct strategy-

Choose the best strategy to solve the problem:


Janet needs to find the mode of her test scores for the last 10 weeks. How can she best find the information?

  1. make a graph

  2. Make a model

  3. Draw a picture


(a)

(20)

Choose the correct strategy-

Is there only one way to solve a math problem? ______


(No, there are various strategies that can be used to help someone solve a math problem)

(21)

Drawing Conclusions

Which month did Chicago have its lowest temperature? Explain how you got your conclusion.__________________ __________


(December; follow the pink line and look at the temperature to the left to see the lowest temperature.)

(22)

Drawing Conclusions

Can you determine which months there was snowfall? _____________


(No, the graph tells the temperature, not the amount of snowfall)

(23)

Drawing Conclusions

Which conclusion can be made by looking at the graph:

  1. How much candy each person sold

  2. Which school sold the most candy

  3. Which class did not participate in the candy sale



(b)

(24)

Drawing Conclusions

Which conclusion can NOT be made from the graph?

  1. Who sold the most candy in all 4 weeks

  2. Which week did Locust sell the least amount of candy?

  3. How many candy bars were sold by fourth graders?


(c)

(25)

What information can be used to help you draw a conclusion in math?


(Information provided in the problem, question, graph or other organizer to pose the math question ---answers may vary)

 

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