Fractions and integers

Math Basics

Fractions and Integers

Open Ended

Before we get started with our lesson

What do you know about fractions?

Fraction: how we represent a part of a whole

Composed of a Numerator and Denominator

Equivalent fractions

have the same value even though they may look different. They are fractions that name the same amount or part.

These are useful to know because they remind us to simplify fractions.

Fractions --> Decimals

Numerator (divided by) Denominator

Fractions --> Percent

Take the decimal and multiply by 100 to get the percent

Percentage --> Fractions

Take the percent and put it over 100

Let's try some more examples

Adding and Adding Fractions

**YOU CANNOT ADD OR SUBTRACT FRACTIONS THAT HAVE DIFFERENT DENOMINATORS**

Multiplying Fractions

numerator*numerator

​

​denominator*denominator

Dividing Fractions

KEEP --> CHANGE --> FLIP

How is this useful for the test?

- variables

- decimals

- percentages

- ALGEBRA!!       

Multiple Choice

Divide.

                     $$\frac{5}{7}\div\frac{2}{3}$$  

• $$\frac{15}{14}$$  

• $$\frac{21}{10}$$  

• $$\frac{7}{10}$$  

• $$\frac{10}{21}$$  

• $$\frac{3}{4}$$  

Open Ended

Let's try it again!

What you know about fractions now? Did any questions pop up? Try to be as specific as possible

Open Ended

Working with numbers that are not positive

What do you know about positive and negative numbers?

Integers: whole numbers that can be positive or negative

• negative values are to the left or below zero (aka the origin)

• Positive values are to the right or above zero (aka the origin)

• When a number does not have a visible sign we assume the number is positive

Multiplication & Division

Addition

• same sign: ADD the numbers and KEEP the sign

• different sign: find the DIFFERENCE and use the sign of the highest value

​Let's practice

Subtraction

• try to re-write it as an addition by "adding the opposite"

• Let's practice!

​Let's practice