Want to create interactive content? It’s easy in Genially!
MA7-WEEK9-PERCENTAGES AND PROPORTIONS
VIMSCHOOL
Created on August 21, 2024
Start designing with a free template
Discover more than 1500 professional designs like these:
View
Word Search
View
Sorting Cards
View
Word Search: Corporate Culture
View
Corporate Escape Room: Operation Christmas
View
Happy Holidays Mobile Card
View
Christmas Magic: Discover Your Character!
View
Christmas Spirit Test
Transcript
Percentages and Proportions
Objectives
Start
RATIO AND PROPORTIONS
Simplifying Ratios
PERCENTAGES
PROPORTIONS
Relationships
RATIO AND PROPORTIONS
RATIO AND PROPORTIONS
NOTATION
Example 1:
In a class of 12 boys and 8 girls, the ratio of boys to girls can be represented in the following three ways:
In a bakery we have 30 strawberry cakes and 24 cheesecakes, the ratio of strawberry and cheesecakes can be represented in the following three ways:
Simplifying Ratios
Simplifying Ratios
For simplifying ratios, it's necessary to follow:
1. Identify the greatest common factor (GCF) of the two quantities.
2. Divide both terms of the ratio by the GCF.
Click
Example 2: SIMPLIFYNG RATIOS:
Solution
Determine the scaling factor
Calculate the amounts
Verifying
PERCENTAGES
PERCENTAGES
Definition
Formula
Image
Example 3:
If you score 45 out of 60 on a test, your percentage score is:
Converting Between Percentages, Fractions, and Decimals:
1. Percentage to Decimal: Divide by 100.
2. Decimal to Percentage: Multiply by 100
3. Percentage to Fraction: Write the percentage as a fraction over 100 and simplify
4. Fraction to Percentage: Convert the fraction to a decimal and then to a percentage
PROPORTIONS
PROPORTIONS
Notation
Solving Proportions: Method 1: Cross-Multiplication
EXAMPLE 4:
Solve:
Cross multiply:
Solve for x
Connecting Ratios, Percentages, and Proportions
Connecting Ratios, Percentages, and Proportions Relationships:
Example Problem:
Problem: A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 4 cups of sugar, how much flour is needed?
SOLUTION
LET'S PRACTICE: CHOOSE THE CORRECT ANSWER
LET'S PRACTICE: CHOOSE THE CORRECT ANSWER
LET'S PRACTICE: CHOOSE THE CORRECT ANSWER
Great job!
See you next time
Welcome 6th graders!
7TH-PERCENTAGES AND PROPORTIONS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
EXAMPLE: becomes
1. SET UP RATIOS:
Method 1: Cross-Multiplication
1. Set up the proportion:
2. Multiply the cross products
3. Solve for the unknown variable.
EXAMPLE: becomes
EXAMPLE:
Ratios can be expressed as:
A fraction:
With a colon:
In words:
EXAMPLE: becomes
Proportions are written as
Where a, b, c, d are numbers
MA.7.AR.3 Use percentages and proportional reasoning to solve problems. MA.7.NSO.1 Rewrite numbers in equivalent forms. MA.7.AR.3.1 Apply previous understanding of percentages and ratios to solve multi-step real- world percent problems. MA.7.NSO.1.2 Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems. MA.K12.MTR.7.1 Apply mathematics to real-world contexts. MA.K12.MTR.3.1 Complete tasks with mathematical fluency. ELA.K12.EE.2.1 Read and comprehend grade-level complex texts proficiently.
Verifying:
Simplify 12:16
The greatest common factor of 12 and 16 is 4. Divide both terms by 4:
To find a percentage of a number:
3. Solver for F:
So:
Ratios and percentages are closely related, as percentages are a specific type of ratio.
Calculate the amounts:
You will need 12 cups of flour and 16 cups of sugar to make 48 cookies.
Proportions often involve percentages and ratios to compare and solve problems.
Determine the scaling factor:
Since you want to make 48 cookies (4 times the original amount), multiply each ingredient by 4.