# 4th Grade - Solve Similar Problems

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

## Building Blocks/Prerequisites

### 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 grams x 1,000 kilograms x 1,000 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? Draw a picture. Make a list Predict and test (a) (5) Drawing Conclusions What conclusion can be made from the line graph? The temperature on January 12 The average temperature in New York in December 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

(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.