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Introducing Addition of Integers
At a desert weather station, the temperature at sunrise was 10°c. It rose 25°c by noon.
The temperature at noon was 10°c + 25°c = 35°c
Introducing Subtraction of Integers
Kim had 9 CDs. She sold 4 CDs at a yard sale. How many CDs does she have left?
How could you model this problem using chips?
Introducing Subtraction of Integers
Otis earned $5 babysitting. He owes Latoya $7. He pays her the $5, how much does he owe her now?
How could you model this problem using chips?
Introducing Subtraction of Integers
The Arroyo family just passed mile 25 on the highway. They need to get to the exit at mile 80. How many more miles do they have to drive?
Chip Board Manipulatives
http://nlvm.usu.edu/en/nav/grade_g_2.html
Adding & Subtracting Integers
Rules: Two like signs become a positive
sign. Two unlike signs become a negative
sign.
Adding & Subtracting Integers
Common Sense Explanation:
A friend is +, an enemy is – + + = +, a friend of a friend is my
friend + - = -, a friend of an enemy is my
enemy - + = -, an enemy of a friend is my
enemy - - = +, an enemy of an enemy is my
friend
“+/-” Connection
You will understand and use the relationship between addition and subtraction to simplify computation by changing subtraction problems to addition or vice versa.
Chip Board Manipulatives
http://nlvm.usu.edu/en/nav/grade_g_2.html
Fact Families
You will understand and use the relationship between addition and subtraction found in fact families
Fact families are built based on the relationship between addition and subtraction
Definition: A fact family is a group of numbers that are related to each other in that those numbers can be combined to create a number of equations.
Fact Families
(-7) + (+2) = -5
(+2) + (-7) = -5
What is the next fact family? (-5) – (+2) = -7 What is the next fact family? (-5) – (-7) = +2
Multiplication of Fractions
Step 1: Multiply the top numbers (the numerators)
Step 2: Multiply the bottom numbers ( the denominators)
Step 3: Simplify the fraction if needed
Multiplication of Mixed Numbers
Step 1: Convert to Improper Fractions
Step 2: Multiply the fractions Step 3: Convert the result back to
Mixed Fractions
Multiplication of Mixed Numbers
Converting a mixed number to improper fraction
Step 1: Multiply the denominator by the whole number
Step 2: Then add that to the numerator
Step 3: Then write the result on top of the denominator
Multiplication of Mixed Numbers
Converting an improper fraction to a mixed number
Step 1: Divide the numerator by the denominator
Step 2: Write down the whole number answer
Step 3: Then write down any remainder above the denominator
Division of Integers
Division is the opposite of multiplying
Example: 3 x 5 = 15 Which means 15 / 3 = 5 Also, 15 / 5 = 3
Division of Integers
Dividend ÷ Divisor = Quotient
Example: 12 ÷ 3 = 4 12 = Dividend 3 = Divisor 4 = Quotient