Download Fractions (part 1) 2016

Chapter 2
Fractions
Part 1
Day…..
1 – GCF and LCM
2 – Adding and Subtracting
Fractions
3 –Multiplying Fractions
4 – Multiplying Fractions
5- Review and Reflect
Day 1
Vocabulary
Denominator- the bottom number of a fraction (the whole)
Equivalent- equal or the same
Fraction- a number that represents part of a whole or part of a set
Factors-
two or more numbers multiplied to form a product
Greatest Common Factor- the greatest of the common factors of two or more numbers
Improper Fraction- a fraction who’s numerator greater than or equal to the denominator
Least Common Multiple-
The smallest multiple of two or more numbers
Mixed Number- a number that has a whole number part and a fraction part
Multiple-
The product of a number and any whole number (Think: skip counting)
Numerator- the top number of a fraction (the part)
Prime Number- a number who's factors are only 1 and it’s self
Product- the answer to a multiplication equation
Scaling- to increase or decrease a ratio
Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Today's Standard
Find the greatest common factor of two
whole numbers less than or equal to 100 and
the least common multiple of two whole
numbers less than or equal to 12. Use the
distributive property to express a sum of two
whole numbers 1–100 with a common factor
as a multiple of a sum of two whole numbers
with no common factor. For example, express
36 + 8 as 4 (9 + 2).
Greatest Common Factor
Essential Understanding:
• To determine the greatest common factor of any
number set, compare the prime factorization of each
number in the given set.
• Think: Rainbow Factors
Example: What is the greatest common factor for the
given set. 12, 42, 72, 90
Least Common Multiple
Essential Understanding:
• There are two ways to determine the LCM of any given
number set.
1) Create a list of multiples for each number given.
Example:
2) Multiply the prime factors of each number. (each factor is used
once)
Example:
• Think: Skip Counting
Game Time
Face Off
Directions:
• Students will be divided into 6 groups.
• Each round, one player from each group will
race determine the GCF or LCM for a given set
of numbers.
• The first player with the correct response will
receive 10 points, for their team.
• The team with the most points wins!
Wrap it Up
• Review
• Questions
• Pack Up
Day 2
Vocabulary
Denominator- the bottom number of a fraction (the whole)
Equivalent- equal or the same
Fraction- a number that represents part of a whole or part of a set
Factors-
two or more numbers multiplied to form a product
Greatest Common Factor- the greatest of the common factors of two or more numbers
Improper Fraction- a fraction who’s numerator greater than or equal to the denominator
Least Common Multiple-
The smallest multiple of two or more numbers
Mixed Number- a number that has a whole number part and a fraction part
Multiple-
The product of a number and any whole number (Think: skip counting)
Numerator- the top number of a fraction (the part)
Prime Number- a number who's factors are only 1 and it’s self
Product- the answer to a multiplication equation
Scaling- to increase or decrease a ratio
Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Bell Work
Scarlett planted rose bushes around her porch. She
measured the growth on the plants each week for 4
weeks. The results are shown in the table below.
Week
Plant Growth
1
4 ½ inches
2
3 ¼ inches
3
6 ¾ inches
4
5 inches
1) How tall was Scarlett’s plant after 2 weeks? After 3
weeks? After 4 weeks?
2) Suppose Scarlett’s porch is only 3’ tall. How much more
can the plants grow before they will need to be trimmed?
Today's Standard
Find the greatest common factor of two
whole numbers less than or equal to 100 and
the least common multiple of two whole
numbers less than or equal to 12. Use the
distributive property to express a sum of two
whole numbers 1–100 with a common factor
as a multiple of a sum of two whole numbers
with no common factor. For example, express
36 + 8 as 4 (9 + 2).
Add and Subtract Fractions
Essential Understandings:
• To find the sum or difference of fractions, they must have a
common denominator.
• Remember: Fractions are ratios, and ratios can be scaled up or
down.
• To add or subtract, you will need to scale both fractions up or
down until you reach their LCM (common denominator).
• Once all fractions have a common denominator, you simply add
or subtract the numerators (the denominator will stay the same).
• Answers should be simplified when possible.
Examples:
Math Time
Technology: Check Google Classroom for the Link
Independent: Complete the Provided Page
My Choice: Check Out What’s New!
Extension: New options have been posted.
Wrap it Up
• Review
• Questions
• Pack Up
Day 3
Bell Work
Kelly is saving her money to buy a prom dress. The dress she has
picked out will cost her $400. She estimates she will have enough
money, after 6 weeks of saving. Is she correct? Why or Why not?
How many weeks will she need to save, before she can
purchase the dress?
Vocabulary
Denominator- the bottom number of a fraction (the whole)
Equivalent- equal or the same
Fraction- a number that represents part of a whole or part of a set
Factors-
two or more numbers multiplied to form a product
Greatest Common Factor- the greatest of the common factors of two or more numbers
Improper Fraction- a fraction who’s numerator greater than or equal to the denominator
Least Common Multiple-
The smallest multiple of two or more numbers
Mixed Number- a number that has a whole number part and a fraction part
Multiple-
The product of a number and any whole number (Think: skip counting)
Numerator- the top number of a fraction (the part)
Prime Number- a number who's factors are only 1 and it’s self
Product- the answer to a multiplication equation
Scaling- to increase or decrease a ratio
Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Today’s Standard
Interpret and compute quotients of fractions, and solve
word problems involving division of fractions by fractions,
e.g., by using visual fraction models and equations to
represent the problem. For example, create a story context
for (2/3) ÷ (3/4) and use a visual fraction model to show
the quotient; use the relationship between multiplication
and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4
of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much
chocolate will each person get if 3 people share 1/2 lb of
chocolate equally? How many 3/4-cup servings are in 2/3 of
a cup of yogurt? How wide is a rectangular strip of land
with length 3/4 mi and area 1/2 square mi?
Multiplying Fractions
Essential Understanding:
To multiply a fraction by another fraction, simply…
1.multiply numerator by numerator
2.then multiply denominator by denominator
*Think: Straight Across.
Examples:
Scale the product down to its simplest form when possible.
Examples:
Multiplying Fractions
and Whole Numbers
Essential Understanding:
To multiply a fraction by a whole number, you simply…
1.Begin by converting the whole number to an improper
fraction. This can be done by placing a 1 as it’s
denominator.
2.Then multiply numerator by numerator and
denominator by denominator
*Think: Straight Across.
3. Simplify when possible.
Examples:
Game Time
Fraction War
Build
a
Monster
Directions:
• First, both players will flip over 4 cards at the same time.
Please
deskinof
except
• Then,
you clear
can useyour
the card,
anyeverything
order, to create
two
fractions.
for a dry erase marker and board.
• Next, players must multiply their two fractions.
• Finally, simplify your products and compare.
• The player with the largest product wins that round.
Wrap it Up
• Review
• Questions
• Pack Up
Day 4
Bell Work
There are 150 students in the band and 90 students in
the chorus. ½ of the band members and 4/5 of the
chorus members participated in a charity concert.
1)Which group hand more participates?
2)How many more?
Let’s change this problem:
How many members would the chorus need to have
more participants than the band?
Vocabulary
Denominator- the bottom number of a fraction (the whole)
Equivalent- equal or the same
Fraction- a number that represents part of a whole or part of a set
Factors-
two or more numbers multiplied to form a product
Greatest Common Factor- the greatest of the common factors of two or more numbers
Improper Fraction- a fraction who’s numerator greater than or equal to the denominator
Least Common Multiple-
The smallest multiple of two or more numbers
Mixed Number- a number that has a whole number part and a fraction part
Multiple-
The product of a number and any whole number (Think: skip counting)
Numerator- the top number of a fraction (the part)
Prime Number- a number who's factors are only 1 and it’s self
Product- the answer to a multiplication equation
Scaling- to increase or decrease a ratio
Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Today's Standard
Interpret and compute quotients of fractions, and solve
word problems involving division of fractions by fractions,
e.g., by using visual fraction models and equations to
represent the problem. For example, create a story context
for (2/3) ÷ (3/4) and use a visual fraction model to show
the quotient; use the relationship between multiplication
and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4
of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much
chocolate will each person get if 3 people share 1/2 lb of
chocolate equally? How many 3/4-cup servings are in 2/3 of
a cup of yogurt? How wide is a rectangular strip of land
with length 3/4 mi and area 1/2 square mi?
Multiplying Fractions
and Mixed Numbers
Essential Understanding:
To find the product of fractions and mixed number..
• Begin by converting the mixed number to and improper
fraction.
– This is done by adding the numerator to the product of the
denominator and whole number.
Example:
• Next simply multiply numerator by numerator and
denominator by denominator.
• Finally, simplify when possible.
Example:
Math Time
Technology: Check Google Classroom for the Link
Independent: Green Book Page 11 # 1-9 (odd only)
My Choice: Try Something New!
Extension: Options have been posted.
Wrap it Up
• Review
• Questions
• Pack Up
Day 5
Quick Quiz
Clear your desk of everything except for a
pencil and a piece of scratch paper.
Vocabulary
Denominator- the bottom number of a fraction (the whole)
Equivalent- equal or the same
Fraction- a number that represents part of a whole or part of a set
Factors-
two or more numbers multiplied to form a product
Greatest Common Factor- the greatest of the common factors of two or more numbers
Improper Fraction- a fraction who’s numerator greater than or equal to the denominator
Least Common Multiple-
The smallest multiple of two or more numbers
Mixed Number- a number that has a whole number part and a fraction part
Multiple-
The product of a number and any whole number (Think: skip counting)
Numerator- the top number of a fraction (the part)
Prime Number- a number who's factors are only 1 and it’s self
Product- the answer to a multiplication equation
Scaling- to increase or decrease a ratio
Simplest Form- a fraction in which the GCF of the numerator and denominator is 1
Today's Standard
Interpret and compute quotients of fractions, and solve
word problems involving division of fractions by fractions,
e.g., by using visual fraction models and equations to
represent the problem. For example, create a story context
for (2/3) ÷ (3/4) and use a visual fraction model to show
the quotient; use the relationship between multiplication
and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4
of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much
chocolate will each person get if 3 people share 1/2 lb of
chocolate equally? How many 3/4-cup servings are in 2/3 of
a cup of yogurt? How wide is a rectangular strip of land
with length 3/4 mi and area 1/2 square mi?
Partner Practice
Complete: Textbook Page 116
Wrap it Up
• Review
• Questions
• Station Work