Multiplying and Dividing Rational Numbers 08-13-18 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question Why don't you need to change the denominator to the same base when multiplying the two factions? Warm Up: Answer the question. How is a decimal and fraction related to each other?

Multiply and Divide Decimals 7.2 −0.2 different sign when multiple has negative product 7.2 −0.2 = -1.44 b. − 23.94 −10.5 use a calculator for this part same sign when multiple has positive quotient − 23.94 −10.5 =2.28

To multiple fraction Multiply the numerator and the multiply the denominator

To multiple fraction If the numerator and denominator have common factor, you can simplify first.

Find each product or quotient Find each product or quotient. Round to the nearest hundredth if necessary 6.5 ( 0.13) 2. 12.3 −6 3. −14.1 ( −2.9) 4. 108 −0.9 5. 0.75( −6.4) 6. −32.4 −21.3

Multiply Fraction with different Sign

Find each product. Simplify before multiplying if possible. 3 4 ∙ 1 5 2. − 1 3 ∙ 2 5 1 9 ∙( 1 2 ) 4. 11 3 ∙ 9 44 5. ( 3 5 ) ( 5 6 ) 6. ( − 30 11 ∙− 1 3 )

Multiplicative inverses: Two numbers whose product is 1 Reciprocal : Two numbers whose product is 1

Divide Fraction To divide one fraction by another factor, multiply the dividend by the reciprocal od the divisor

Word Problem PIZZA A large pizza at Pizza has 12 slices. If Bobby ate 1 4 pizza, how many slices of pizza did he eat? 3 slices CARPENTRY How many boards, each 2 feet 8 inches long, can be cut from a board 16 feet long of there is no waste? 6 boards

The Percent Proportion 08-14-18 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question What does it mean to compare two things? Warm Up: Answer the question. Explain the pieces of a fraction.

A percent is a ratio that compares a number to 100 Write a percent as a fraction: express the ratio as a fraction with a denominator of 100

Express each percent as a fraction in simplest form. 5% 2.60% 3. 78% 4. 2.5% 5. 0.6% 6. 1400%

Percent proportion: a ratio of a part of something to the whole is equal to the percent written as fraction.

Use the percent proportion to find each number 10% of 20 is what number? 50% of 55 is what number? 99% of 10 is what number? 2.5% of 400 is what number?

Can you find an easier way? 15 is 20% of what number? 4 is 5% of what number? 1.5 is 50% of what number? 100 is 2% of what number?

The Percent Proportion Word Problem 08-15-18 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question How do you compare two percentage? Warm Up: Answer the question. What is a percentage of something mean? Example, 50% or 20%.

SURVEYS. Kelsey took a survey of students in her lunch period SURVEYS Kelsey took a survey of students in her lunch period. 42 out of the 70 students Kelsey surveyed said their family had a pet. What percent of the students had pets?

SURVEYS. Kelsey took a survey of students in her lunch period SURVEYS Kelsey took a survey of students in her lunch period. 42 out of the 70 students Kelsey surveyed said their family had a pet. What percent of the students had pets?

BASKETBALL Madeline usually makes 85% of her shots in basketball BASKETBALL Madeline usually makes 85% of her shots in basketball. If she attempts 20, how many will she likely make? 17 Shots TEST SCORE Brian answered 36 items correctly on a 40-item test. What percent did he answer correctly? 90% CARD GAMES Juanita told her dad that she won 80% of the card games she played yesterday. If she won 4 games. how many games did she play? 5 games SOLUTIONS A glucose solution is prepared by dissolving 6 milliliters of glucose in 120 milliliters of pure solution. What is the percent of glucose in the resulting solution? 5%

Use the percent proportion to find each number 25 is what percent of 125% 14 is 20% of what number? What number is 25% of 18? What percent of 48 is 30? 5% of what number is 3.5 ? Find 0.5% of 250

TEST SCORES The table shows the number of points each student in Will's study group earned on a recent math test. There were 88 points possible on the test. Express all answers to the nearest tenth of a percent. Find Will’s percent correct on the test. 81.1% Find Cheng’s percent correct on the test. 92% Find Rob’s percent correct on the test. 85.2% What was the highest percentage? Minowa 98.9% What is the lowest percentage? Penny 77.3%

How is the perimeter and area formula for an object related? 1. Copy down the Essential Question (EQ). 2. Work on the Warm-up. Essential Question How is the perimeter and area formula for an object related? Warm Up: Answer the question. Explain the different between the perimeter and area of an object?

How to get the Perimeter: Unwarp the object and add all the parts together. Perimeter: Distance around a figure How to get the area: One side multiples by the other side. Area: is the number of square units need to cover a surface

A circle is the set of all points in plane that are the same distance from a given point

How are 3D objects created? Volume 08-17-18 1. Turn in the homework. 2. Copy down the Essential Question (EQ). . 3. Work on the Warm-up. Essential Question How are 3D objects created? Warm Up: Answer the question. Draw all the different 2D object you know.

Stack 2D objects to make a 3D object Volume= Base • Height The base is the area of the 2D object and the height is how much you stack the object.

Quiz Policy: 1. You can take all the time you need to, you can come back during lunch or after school to finish 2. No talking to anyone, If you are not sure about a question, ASK ME. Don’t assume anything. 3. The only question I don’t answer is “ am I doing this right?” 4. Turn it in to the table when done.