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Mathematics 4-5INTEGERS

Name : _______________ Class : 4-5___ Date :_______________

Look and read these two facts!

Mt.Everest is 8.850 meters above the sea level

and the summit is about 600 meters below the

sea level.

The base of Mauna Kea is about 6000 meters

below sea level and the summit is about 4000

meters above sea level.

Translate each situation described in pictures above into mathematical sentence!

Mt.Everest is 8.850 meters above the sea level.

The summit of Mt.Everest is about 600 meters below the sea level.

The base of Mt.Mauna Kea is about 6000 meters below sea level.

The summit is of Mt.Mauna Kea is about 4000 meters above sea level.

Translate each situation into mathematics sentence, dont forget to underline the keywords of positive

and negative!

Sally owe five dollar =__________________

I got another five pencil =__________________

Minus seven inches =__________________

The temperature is twenty degrees below zero =__________________

Move backward ten steps =__________________

Tom goes to the next five floor =__________________

The temperature had rise five degrees =__________________

Tom goes down three levels =__________________

The Mt.Everest is eight thousand meter above sea level =__________________

The peek dept is around one thousand meter below the sea level =_________________

Draw each temperature on the right location on thermometer.

Day SATURDAY SUNDAY MONDAY TUESDAY WEDNESDAY FRIDAYDegrees 20 28 10 0 20 25

Morning

Degrees 0 0 -5 -15 -10 13

Evening

Games : Integers ladder

Teacher will provide two dices (Black and red), the black die represent positive numbers and the red

represent negative number. Each group must roll both die and then move the pion up and down

according to the number they get and they will record it on their recording sheets. Those who reach

the start first is the winner.

# rolling die

Current position Black die (+)

Next position

Red die (-) Final Position (+ or -)

exampleand

0 +5 +5 - 3 + 2

And

+2 +4 +6 - 6 0

Now its your turn!

# rolling die

Current position Black die (+) Next position

Red die (-) Final Position (+ or -)

1

2

3

4

5

6

7

8

9

10

Students notes

LEARNING CONTRACT

Jakarta, ______ July 2014

I, ____________, from class 4-5___ of SekolahHighScope Indonesia, KelapaGading will choose the following method(s) to learn about ADDING INTEGERS. (Tick √ where ever appropriate). adding by using counters adding by using number line adding by using the rule

I will use the time given wisely so that I will be able to do the individual work following the completion of Recording Sheet 2: Adding Integers

Tier 1Method : Counters

Step 1 Take 5 black buttons as counters for the first number, i.e. to represent -5

Step 2 Take 8 white buttons as counters for the second number, i.e. to represent +8

Step 3 Pair each of the black buttons with each of the white buttons. Once, the black buttons have paired with the white buttons, remove the pairs away. Continue until you run out of the black buttons.

Count the number of buttons left. In this case, there will 3 white buttons left over. So -5 + 8 = 3

Remember: Integers and their opposite are the same distance away from zero. Thus, the sums are equal to zero.

So, this means that a black counter and a white counter together equal zero.

Use counters to find each sum, draw a picture of your answer!

PROBLEM DRAWING & SOLUTION FINAL ANSWER

8 + 5 =

-6 + (-2) =

-3 + 7 =

5 + (-9) =

-8 + 7 =

-4 + 3 =

Method : Number Line

Use number line to find each sum, draw a picture of your answer!

PROBLEM DRAWING & SOLUTION FINAL ANSWER

8 + 5 =

-6 + (-2) =

-3 + 7 =

5 + (-9) =

-8 + 7 =

-4 + 3 =

Method 3 : Rule of Integers

Rules for Addition

Below is a table to help condense the rules for addition. Note the second and third rows of the body of the table. Those answers are dependent upon the original values.

Rules for AdditionPositive + Positive Positive

Positive + NegativeOR

Negative + Positive

Keep the sign of the number with the MOST

signNegative + Negative Negative

Use Integers rules to find each sum, draw a picture of your answer!

PROBLEM INTEGERS RULE FINAL ANSWER

8 + 5 =

-6 + (-2) =

-3 + 7 =

5 + (-9) =

-8 + 7 =

-4 + 3 =

Tier 2

Method : CountersStep 1 Take 5 black buttons as counters for the first number, i.e. to represent -5

Step 2 Take 8 white buttons as counters for the second number, i.e. to represent +8

Step 3 Pair each of the black buttons with each of the white buttons. Once, the black buttons have paired with the white buttons, remove the pairs away. Continue until you run out of the black buttons.

Count the number of buttons left. In this case, there will 3 white buttons left over. So -5 + 8 = 3

Remember: Integers and their opposite are the same distance away from zero. Thus, the sums are equal to zero.

So, this means that a black counter and a white counter together equal zero.

Use counters to find each sum, draw a picture of your answer!

PROBLEM DRAWING & SOLUTION FINAL ANSWER

18 + 9 =

-20 + (-5) =

-12 + 20 =

9 + (-14) =

-20 + 19 =

-14 + 15 =

Method : Number Line

Use number line to find each sum, draw a picture of your answer!

PROBLEM DRAWING & SOLUTION FINAL ANSWER

18 + 9 =

-20 + (-5) =

-12 + 20 =

9 + (-14) =

-20 + 19 =

-14 + 15 =

Method 3 : Rule of Integers

Rules for Addition

Below is a table to help condense the rules for addition. Note the second and third rows of the body of the table. Those answers are dependent upon the original values.

Rules for AdditionPositive + Positive Positive

Positive + NegativeOR

Negative + Positive

Keep the sign of the number with the MOST

signNegative + Negative Negative

Use Integers rules to find each sum, draw a picture of your answer!

PROBLEM INTEGERS RULE FINAL ANSWER

18 + 9 =

-20 + (-5) =

-12 + 20 =

9 + (-14) =

-20 + 19 =

-14 + 15 =

Integers Football

Mouth Watering Math

Individual Practice

DIRECTIONS: Write the integer that best represents each of the following situations.

Jason’s spending his holiday in Finland. =_______________

The temperature is 32 degrees Celsius below zero. =_______________

Tammy received her pocket money of $10. =_______________

The temperature of the beach was 33 degree Celsius outside. =_______________

Stanley owes his brother $50. =_______________

Timmo lost $40 of his money. =_______________

Write an integer to represent the following situation! A diver swims 100 feet below the surface of the ocean to study Tiger Sharks. What is his depth?

Joe lives in a city that is 15 feet below sea level. How could he represent his elevation as an

integer?

Jackie was keeping score for a card game she and her friends were playing. The scores are listed

below. Rank each player according to their score from lowest score to highest score. Put it in

number line!

STUDENTS SCOREJackie -100

John 200

Cassidy -500

Dave –50

Chris 150

Caryn -10

Illustrate the following Mathematical statement using any model, such as colored chips or number line

or by rule!

PROBLEM ILLUSTRATION/DRAWING FINAL ANSWER

-4 + 8 =

-6 + (-9) =

-2 + 8 =

-11 + 13 =

-8 + (-3) =

4 + (-12) =

2 + (-8) =

-10 + 16 =

-15 + (-10) =

29 + (-13) =

-13 + (-17) =

18 + (-23) =

-91 + 85 =

-124 + 216 =

-90 +(- 112) =