Q1 and Q2 Study and Review Slides

Spiral
Review
and
Study

SCSA

1

What is a fraction ?

●A fraction is division

●Represents equal parts of a whole

Main Types of Fractions

Proper Fraction

4/17

Numerator is LESS than
denominator

ALWAYS Simplify fractions by
dividing both the numerator
and denominator by the GCF
(Greatest Common Factor)

Improper Fraction
17/4

Numerator is GREATER than
the denominator

ALWAY convert to a Mix
Fraction

Mix Fraction

Has a whole number and a
fraction.

Always simplify the fraction

Converting Fractions

​Mix Numbers/ Fractions

​Adding and Subtracting Mix Fraction
- You can adding and subtracting mix fractions or convert them to an improper fraction. It is your choice

​Multiply Mix Fractions
- We CAN NOT multiply mix fractions we have to convert them to an IMPROPER fraction

​Improper Fraction

​A fraction where the numerator is greater than the denominator

​We must ALWAYS convert Improper Fraction to a MIXED number

​Examples:

​Simplifying Fraction

​We must ALWAYS simplify fractions to its lowest terms by divding the fraction by the Greatest Common Fraction (GCF)

Mathematical KEY WORDS in word problems

Addition

Subtraction

Multiplication

Division

Together

Total

How much more

How much further

Difference

Left

Of

Each

Times

Each

Equally

Shared

Operating with fractions Review and Strategy

Adding and Subtracting Fractions

Denominators MUST be the same:
●Find the LCM (Least Common Multiple)

Strategy
●Ask is the larger number denominator a multiple
of the other? If so keep it the same and multiply
the other denominator

or

●Multiply the denominators by each other

●When adding and subtracting Mix fraction set up
the problem vertically

Operating with fractions Review and Strategy

Adding and Subtracting MIX Fractions

Denominators MUST be the same:
●Find the LCM (Least Common Multiple)

Strategy

● Rewrite the problem Vertically and solve how you
would with regular proper fractions

OR

You can convert the mix fractions to improper fractions and then work out the problem

Operating with fractions Review and Strategy

Adding and Subtracting MIX Fractions

​When Adding and Subtracting MIX fractions you ask the following:





1. Are the denominators the same? if not find the LCM
2. Am I subtracting? if you are you must make sure the numerator is greater than the other numerator if not you have to regroup

Click the video

Operating with fractions Review and Strategy

Dividing Fractions

To divide fractions we KEEP, CHANGE, FLIP

KEY:
●When dividing a unit fraction by a whole number the
answer will be a unit fraction

●When dividing a whole number by a unit fraction the
answer will be a whole number

Example:

¼÷ 3 = 1/12

¼ x ⅓ = 1/12

3 ÷ 1/4 =12

3 x 4 = 12

Operating with fractions Review and Strategy

Multiplying Fractions

To multiply fraction we multiply straight across.
Multiply the numerator with the numerator and
the denominator with the denominator

Example:
⅔ x ¼ = 2/12
Key
●When you are multiplying Mix fractions we
MUST change the Mix fraction to an improper
Fraction

●When you are multiplying fractions REMEMBER
a whole number as a fraction is over one
example: 3 = 3/1

Fraction as Division

A fraction represents DIVISION. So ⅗ is 3 ÷ 5 and 15/7 is 15 ÷ 7

Key:
●Anytime there is an improper fraction we must change it to a mix
fraction by dividing the denominator by the numerator .

●When there is a proper fraction we must ask ourselves can we
simplify the fraction to simplest terms

Example:

Cristiano has 7 apples he shares equally amongst 3 friends. What is the
amount of apples each friend receives?
7 ÷ 3 = 2 ⅓ - Each friend will get 2 ⅓ of an apple

Converting Customary Units

KEY:
●When converting from a smaller unit to a Larger unit. (DIVIDE)

●When converting from a larger unit to a smaller unit (Multiply)

Metric System :

A system used to convert Grams (g) Liters (L) and Meters (M)

KEY
●Use the Acronym to help with converting the Metric Unit:
King Henry Died Unexpectedly Drinking Chocolate Milk

●

From smaller Unit to Large unit divide. Move the decimal to the left

●

From Larger Unit to Small Unit Multiply. Move the decimal to the
right

Explanation Slide...

There are 4 quarts in 1 gallon, so if you have 4 quarts of milk, you have 1 gallon.

​Interpreting Data and Represent Data

​Interpreting Data and Represent Data

​Data falls into two groups
Numerical and Categorical

Numerical: Data that involves numbers

Categorical: Data the is in groups, such as gender, age, etc

Q1 REVIEW

1. Place Value
2. Multiplying and Dividing whole numbers
3. Adding and Subtracting decimals
4. Dividing and Multiplying Decimals
5. Evaluating numerical Expressions

What we learned in Quarter 1

​Ways to represent a number

​Hint:
If rounding to nearest whole number your answer should be a whole number

If rounding to nearest tenth your answer should have a number in the tenth place

If rounding to nearest hundredth your answer should have a number in the Hundredth place

If rounding to nearest thousandth your answer should have a number in the thousandth place

Multiplying Whole Numbers

Standard Algorithm Method

Multiplying Whole Numbers

Box Method

Multiplying Whole Numbers

Partial Products

​Divide whole Number Strategies

​Adding and Subtracting Decimals

​IMPORTANT

When Adding and Subtracting Decimals we MUST line the decimals up.

​Dividing Decimals

Divisor: number being use to divide

Dividend: Number that is being divided

The divisor should not be a decimal. If it is we must slide the decimal to the right until its a whole number. and slide the decimal in the dividend the same number of times. then raise the decimal to the roof

​How to Multiply decimals

Multiplying decimals
ignore the decimal
Multiply like normal
then bring back the decimal

Hint:

If your problem has 2 numbers behind the decimals, then your answer has ttwo numbers behind the decimals and so on!!

​Evaluating Numerical Expression
An expression is a math sentence without an equal sign

Evaluate means to solve.
When evaluating expression underline the part you are solving then rewrite until to reach your final answer