Download presentation

Presentation is loading. Please wait.

Published byQuentin Garrison Modified over 7 years ago

1
Percents, Fractions, and Decimals Finding a Percent of a Number Lessons 6.6 & 6.7

2
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. Use ratio and rate reasoning to solve real-world and mathematical problems CCS: 6.RP.3.

3
Students will be able to: Represent percents in different but related ways, such as a ratio, a fraction and a decimal Use proportions to solve percentage problems Use decimals to calculate daily transactions (finding sales tax or figuring tips on restaurant bills) Objectives

4
A percent is a ratio that compares a number to 100. It means “per 100.” 49 out of 100 is 49%. Vocabulary

5
Imagine a decimal point in the place of the percent sign, and move the decimal two spaces to the left (the same as dividing by 100). Writing Percents as Decimals 26%.26 40%.40.4 7%.07

6
Place the percent in a fraction with a denominator of 100. Simplify the fraction. Writing Percents as Fractions 26% 26 100 13 50 75% 75 100 3 4

7
Move the decimal point two spaces to the right, and add a % symbol (this is the same as multiplying by 100). Writing Decimals as Percents.34 34%.19 19%.12512.5%.6 60% 1 100%

8
Divide the numerator by the denominator to get a decimal. Change the decimal to a percent by moving the decimal point to the right (multiply by 100). Writing Fractions as Percents 6 25 0.2424%

9
Writing Percents as Fractions and Decimals Writing Percents as Fractions and Decimals Video Time

10
Should we use decimals OR proportions (fractions) OR both???

11
Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation. Solve the equation. To set up your proportion, think, “IS over OF equals PERCENT over 100.”

12
Example – What is 20% of 30? = 20 100 part whole 30 x = 100x 30(20) = 100x 600 100 = x6

13
Using a Decimal Change the percent to a decimal. Multiply that decimal by the number you are finding the percent of.

14
Example – What is 18% of 70? 18% = 0.18 0.18 x 70 = 12.6

15
Finding Percents of a Number Finding Percents of a Number Using Proportions to find Percents of a Number Using Proportions to find Percents of a Number Video Time!

16
Homework Time! Reteaching 6.6 and 6.7 Handout Classwork Time! Math at the MallMath at the Mall -practice percentages and finding the best deal while shopping at a virtual mall

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google