**Made By : Isabelle and Madeline**

Adding Fractions (unlike denominators)

Converting fractions to decimals to percents

Powers and exponents and square roots

Unit Rates

Subtracting Decimals

Graphing in 4 Quadrants

Areas of squares, rectangles, and triangles

Multiplying fractions (w/ answer in simplest form)

5/8 + 4/6

1. List factors of the denominator of the first fraction.

2. List the factors until you find a factor that's also a multiple of the denominator in the other fraction.

3. Multiply the numerator of the first fraction by the number the denominator has to be multiplied by to get the factor from before. Do the same thing with the denominator.

4. Write the product of the denominator of the first fraction you multiplied by the number that is what the denominator needs to be multiplied by to equal the factor. Do the same with the numerator. Do the same with the other fraction.

5. Write a fraction with the same denominator and add the numerators of the fraction, and the sum of that is the numerator.

6. Divide the denominator by the numerator to get the answer. It might be a mixed number, or not.

Warnings

Don't forget to multiply

Divide by the correct numbers

Improper fractions to mixed numbers

(and mixed to improper)

1. Divide the numerator of the improper fraction by the denominator.

2. Write the whole number down and write down the remainder above the denominator.

1. Multiply the whole number by the denominator of the fraction and add that to the numerator.

2. Write the result of that as the numerator.

Warnings

Be careful not to multiply the whole number by the numerator when converting mixed numbers to improper fractions.

1. If the fractions aren't in lowest terms, simplify the fractions.

2. Multiply the numerators of both fractions to get a new numerator.

3. To get the new denominator, multiply the denominators of the fractions.

4. To simplify the answer if it's not in lowest terms, find a factor that both the denominator and numerator have in common.

5. Find what number is multiplied by the factor to get the numerator. Do the same for the denominator.

6. Write down a new fraction with the numerator as the number that is multiplied by the factor to equal the original fraction. Do the same with the denominator.

warnings

When simplifying the simplified denominator is the number that has to be multiplied by the factor

Dividing Fractions

1. Flip the denominator and numerator of the second fraction.

2. Multiply the numerators by each other and the product is the numerator for the new fraction.

3. Multiply the denominators by each other and the product is the denominator for the new fraction.

using reciprocals

using models

1. Draw a box.

2. Divide the box to represent the first fraction.

3. Do the same with the other fraction with drawing a different box.

4. See how many squares are in the first fraction from the second fraction.

Warnings

Don't forget to change the multiplication sign into the division sign

1. Find a number that you can multiply by the denominator of the fraction. Do this to make it into 10, 100, 1000, or 1 followed by 0s.

2. Multiply the numerator and denominator by that number.

3. Write down the top number. Put the decimal point in the correct spot.

4. To convert the decimal to a percent, multiply rhe decimal by 100 and add the % symbol.

Warnings

Don't forget the zeros

1. A power is a number that is written as a base number with an exponent.

2. The square root of a number is the operation that's inverse that squares that number.

Warnings

none

24 miles

1 hour

1. Divide the numerator by the denominator.

2. Divide the numerator by itself.

3. Put the quotient of the numerator and denominator as the numerator for the unit rate.

4. Put the quotient of the numerator being divided by itself as the denominator for the unit rate.

Warnings

The one that's being divided by itself has to be the denominator of the unit rate.

1. Write the numbers one under the other number with the decimals lined up with each other.

2. Add zeros to the numbers so the numbers are the same length if needed.

3. Subtract the numbers how you'd subtract numbers without decimal points.

Warnings

Make sure the decimal points are in thight places in the difference.

Multiplying Decimals

1. Multiply normally. Ignore the decimal points.

2. Put the decimals in the correct places in the product.

Warnings

Don't forget to put the decimal points in the quotient.

1. You divide graph paper into 4 regions called quadrants.

2. The first quadrant is I (+,+), the second quadrant is II (-,+), the third quadrant is III (-,-), and the fourth quadrant is IV (+,-)

3. When you go to plot a point, there are negative and positive sides where the A is on the graph and below that is both negative. In the quadrant where the B is is also negative. the only positive area is the quadrant right above the B.you use the quadrants to plot the dots where they need to be.

Warnings

Don't go above dividing into 4 regions

Warnings

Be careful when multiplying

Volume of a rectangular prism

1. Multiply the width times the length in cubic centimeters.

2. Multiply the height by the width in cubic centimeters.

3. Multiply the height by the length in cubic centimeters.

4. Add all the products together.

5. Multiply the answer by 2.

Warnings

None

1. To find the area of squares, rectangles, and triangles, multiply the base by the height.

**Math Recipes**

2. To find the area of a triangle you need to multiply the height by the base then divide by 2.