Transcript miniature pet dog

DO NOW
• Simplify each fraction:
2/8
9/12
6/10 3/15
16/20
**COPY INTO NOTES.
equivalent fractions fractions that represent the
same quantity
Ex. 2/3, 4/6, and 8/12 all
represent the same quantity
**Copy into notes.
RATIOS
• ratio - a quotient of two numbers that have the same unit of
measure; a comparison of two numbers by division
• Can be written in three ways:
• As a fraction
• With the word “to” in between the two numbers
• Or with a colon
If I shot 17 for 25 in a basketball game, I shot a ratio of
17/25
17 to 25
17:25
WRITING RATIOS
• A way of comparing one quantity to another
• Ex. A bag of miniature chocolate bars has 12
dark chocolate, and 14 milk chocolate candy
bars.
• Write each ratio in all three forms comparing
the number of dark chocolate bars to milk
chocolate
SIMPLIFYING RATIOS
• Just like fractions, ratios must be simplified
• Ex. A package of Starburst candy has two
lemon, three strawberry, three cherry, and four
orange
• Write a ratio comparing the number of orange
candies to the number of lemon candies in the
package
GUIDED PRACTICE
• A basket of fruit has 2 apples, 6 grapes, 3
bananas, and 4 oranges
• Write a ratio comparing the number of
apples to the number of grapes
• Simplify your ratio
INDEPENDENT PRACTICE
• The annual dog show has 22 collies, 28 boxers, and 18
poodles
• Write the ratio of collies to poodles
• Write the ratio of poodles to boxers
• Write the ratio of boxers to poodles
• Write the ratio of collies to boxers
• Make sure your ratios are in simplest form.
**Copy into notes.
proportion - an equation that
equates two ratios
Ex. 5/10 = 7/14
(Both ratios can be simplified to ½,
therefore, the ratios are equivalent
and make a proportion.)
**Copy into notes.
COMPARING RATIOS
• When comparing ratios, you must have a common
denominator so that you can compare the
numerators
• Ex. 3/5 and 2/10
• Find the common denominator between 5 and
10
• So 3/5 = 6/10
• Now, you can compare 2/10 to 6/10
COMPARING RATIOS
• Tell whether the wallet size photo or the portrait
size photo has the greater ratio of length to width
by using the table to write a ratio for each
• Write the ratios so you can compare
Length
Width
Wallet
3
5
Personal
4
6
Desk
5
6
Portrait
8
10
COMPARING RATIOS
• Wallet : Portrait comparing Length to Width
• 3: 5 compared to 8:10
• Rewrite as a fraction: 3/5 and 8/10
• Find common denominator (10)
• Rewrite 3/5 as 6/10 and compare to 8/10
• Portrait size has the greater ratio of Length to
Width
COMPARING PART TO PART
• Ratios can compare part to part
• Ex. Number of Krackel bars to the number of
milk chocolate bars in the package
• 9 milk, 6 dark, 3 Mr. Goodbar, and 6 Krackel
• 6 to 9 or 6:9 or 6/9
• Write in the simplest form: 6/9 ÷ numerator
& denominator by 3 = 2/3 or 2:3 or 2 to 3
LET’S PRACTICE
• Compare the number of girls to the number of
boys in the class
• Write the ratio in three different ways
• Be sure to simplify the ratio if necessary
COMPARING PART TO WHOLE
• Ratios can also compare one specific part to the whole
• Ex. Number of Dark chocolate bars to the total number
of candy bars in the package
• 9 milk, 6 dark, 3 Mr. Goodbar, and 6 Krackel
• 6 to 24 or 6:24 or 6/24
• Write in simplest terms: 9/24 ÷ numerator &
denominator by 3 = 3/8 or 3 to 8 or 3:8
MORE PRACTICE
• Compare the number of boys to the total number of
students in the class
• Write the ratio in three different ways
• Be sure to simplify the ratio if necessary
• Compare the number of girls to the total number of
students in the class
• Write the ratio in three different ways
• Be sure to simplify the ratio if necessary
CLOSURE
• At Franklin Middle School, there are
252 students in the seventh grade and
9 seventh-grade teachers. Write the
ratio of students to teachers in
simplest form.