Mrs. Ennis Equivalent Fractions Lesson Twenty

Slides:



Advertisements
Similar presentations
Equivalent Fractions Scott Foresman 7.7.
Advertisements

Equivalent Fractions Lesson 4-2.
Equivalent Fractions Giant One Simplest Form.
Comparing Apples with Apples I am learning to add and subtract fractions with unlike denominators. + = ?- = ? Before starting this lesson you need to be.
Add or Subtract Fractions with Unlike Denominators
Adding and Subtracting Unlike Fractions 3.6. To add and subtract fractions with unlike denominators, first find a common denominator using one of these.
Click to start.
Fraction Notes.
Created by Michele Hinkle. What fraction of the candy is orange? 3939 The number that tells how many equal parts are described is the numerator. The number.
Equivalent Fractions Unit 4.5 Pages = = = = 1, 2, 4, 8 1, 2, 5, 10 1, 2, 4, 8, 16 1, 2, 4, 5, 10, 20 Warm Up Problems.
EQUIVALENT FRACTIONS By Nairyly Nieves.
Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions
Equivalent Fractions Lesson 3-4. Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 4 8.
Fraction Vocabulary.
Equivalent Fractions, Decimals and Fractions
Math 5 Unit Review Instructor: Mrs. Tew Turner. In this lesson we will review for the unit assessment and learn test taking strategies.
Adding and Subtracting Fractions Do not train children to learning by force and harshness, but direct them to it by what amuses their minds, so that.
Welcome to Seminar 2 Agenda Questions about last week Discussion/MML Reminder Fraction Basics Week 2 Overview Questions.
Equivalent Fractions Mrs. Walker 4th Grade.
Math 5 Simplifying Fractions
EQUIVALENT FRACTIONS Section 4.3 KEY TERMS Fraction –A number in the form of a which represents a b part of a whole Numerator –The top number of a fraction,
Adding & Subtracting Whole Number and Fractions
4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.
Making Equivalent Fractions.
Fraction Foldable.
FRACTIONS. Fractions have numerators and denominators Fractions represent the division of the numerator by the denominator or it ’ s the same as 4 divided.
Fractions. Index What is a fraction? Equivalent Fractions Making Equivalent Fractions by multiplying Making Equivalent Fractions by dividing Simplest.
Fractions SC Standard 5-2: The student will demonstrate through the mathematical processes […] the relationships among whole numbers, fractions, and decimals;
Finding Equivalent Fractions. Equivalent Fractions What is the numerator? The number above the fraction bar. It refers to the amount of equal parts that.
Click to start Fractions 1 2 / 10 1 / 12 1/81/8 1 ½ 11 / / 60.
Fraction Notes Fraction Vocabulary Fraction - a number that stands for part of something. Denominator – the number on the bottom of a fraction; it tells.
Get papers sit down get out homework &quietly work on bellringer Solve Using ladder to find GCF LCM and simplify fraction 72 and 56.
Definitions: Equivalent Fractions – Are fractions that represent the same value. For example, and are equivalent fractions. Simplest Form – A fraction.
Our Lesson Simplify and Equivalent Fractions Confidential 2 Warm up 1) Is 8 a factor of 2832? Yes 2) List all factors of 49 1, 7 and 49 3) Solve 4x –
Fractions I. Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole.
Fractions A fraction is a number that names an equal part of a whole.
Chelsea Caraway 4 th Grade. 1.Identify the fraction strip ½. Now identify the fraction ¼. How many fourths would it take to equal ½? How would we write.
Making Equivalent Fractions.
or “Half of one, Six twelfths of the other”
Click the mouse button or press the Space Bar to display the answers.
Fractions Any fraction can be written in many ways and still have the same value… …are all the same… 0.5.
Equivalent Fractions And Simplest Form 6.NS.4.
Fractions Adding Like Denominators
By: Ryan Killian and Therese Cibula
7 . 2 – Equivalent fractions
A fraction is a number that names an equal part of a whole.
Fractions IV Equivalent Fractions
Number & Operations - Fractions Vocabulary
Equivalent Fractions Lesson 3-4.
Numerator Denominator
Fractions 1/8 55/60 11/12 1 2/10 1 ½ 1/12.
Equivalent Fractions.
Making Equivalent Fractions.
Making Equivalent Fractions
Making Equivalent Fractions.
Making Equivalent Fractions.
Making Equivalent Fractions.
Making Equivalent Fractions.
What is the traditional method for multiplying fractions?
Making Equivalent Fractions.
A fraction is a number that names an equal part of a whole.
I CAN write equivalent fractions
Making Equivalent Fractions.
Making Equivalent Fractions.
Equivalent Fractions And Simplest Form
Comparing Apples with Apples
Fractions Review.
Equivalent Fractions.
Presentation transcript:

Mrs. Ennis Equivalent Fractions Lesson Twenty Math Grade 4 Mrs. Ennis Equivalent Fractions Lesson Twenty

3434 + D = 4310 826 – 415 = 5 x B = 20 L x 8 = 72 36 ÷ 6 = 6. How many obtuse angles in this figure?

7. 100 cm = _________m How many dimes in $1.65? The concession stand at the ballpark sells hot dogs for $1.00 each. Their cost per hot dog is $0.25. If they sold 20 hotdogs, what was their profit?

10. The grocer places a case of canned tomatoes in a 3-shelf display 10. The grocer places a case of canned tomatoes in a 3-shelf display. He puts 7 cans on each shelf and had 3 cans left over. How many cans in the case?

Fraction Notation The number above the bar is the numerator. The number below the bar is the denominator. The fraction one-third is written like this: Numerator 1 3 Denominator

Equivalent Fractions

A fraction can have many different names. 6/12 3/6 ½ 5/10 2/4 4/8

In the picture we have ½ of a cake because a whole cake is divided into two congruent parts and we have only one of those parts. But if we cut the cake into smaller congruent pieces, we can see that = Or we can cut the original cake into 6 congruent pieces,

Now we have 3 pieces out of 6 equal pieces, but the total amount we have is still the same. Therefore, = = If you don’t like this, we can cut the original cake into 8 congruent pieces,

Then we have 4 pieces out of 8 equal pieces, but the total amount we have is still the same. Therefore, = We can generalize this to: = whenever n is not 0

We can generalize this to = (whenever n is not 0) =

Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 8 4

What do you get when you multiply a number by 1? You get that number! 7 x 1 = 7 5 x 1 = 5 37 x 1 = 37 23 x 1 = 23 17 x 1 = 17

All these fractions = 1 7 2 33 4 5 When the numerator & denominator of a fraction are the same, the fraction equals 1. 2 33 4 5

AN EQUIVALENT FRACTION What do you get when you multiply a fraction by 1? You get AN EQUIVALENT FRACTION (This makes adding & subtracting fractions possible.)

Whole Halves Thirds Fourths Fifths Sixths Eighths Ninths Tenths Equivalent Fractions Whole Halves Thirds Fourths Fifths Sixths Eighths Ninths Tenths Twelfths  

To Make Equivalent Fractions Multiply the numerator and denominator by the same number. You will get a new fraction with the same value as the original fraction. We are not changing the value of the fraction, because we are simply multiplying by a fraction that is equivalent to ONE.

These fractions represent the same amount. 3 5 4 12 20 x = This fraction equals 1. These fractions represent the same amount.

These fractions represent the same amount. 2 3 3 6 9 x = This fraction equals 1. These fractions represent the same amount.

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the denominator by ... 2 3 6 x 3 = 3 9 x 3

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the denominator by ... 4 9 16 x 4 = 4 36 x 4

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the denominator by ... 5 8 45 x 9 = 9 72 x 9

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the denominator by ... 2 7 6 x 3 = 3 21 x 3

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the denominator by ... 6 7 24 x 4 = 4 28 x 4

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 3 7 12 x 4 = 4 28 x 4

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 7 8 21 x 3 = 3 24 x 3

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 1 3 5 x 5 = 5 15 x 5

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 2 4 10 x 5 = 5 20 x 5

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 4 5 24 x 6 = 6 30 x 6

Make An Equivalent Fraction Find the Missing Numerator! We multiplied the numerator by ... 4 5 8 x 2 = 2 10 x 2

If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. In this example, we can divide both numbers by 7. 4 28 ÷ 7 = 5 35 ÷ 7 28/35 is equivalent to 4/5. 7/7 is equal to 1.

If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. In this example, we can divide both numbers by 3. 7 21 ÷ 3 = 10 30 ÷ 3 28/35 is equivalent to 7/10. 3/3 is equal to 1.

If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. In this example, we can divide both numbers by 5. 3 15 ÷ 5 = 5 25 ÷ 5 15/25 is equivalent to 3/5. 5/5 is equal to 1.

Make An Equivalent Fraction Find the Missing Denominator! We divided the numerator by ... 24 30 12 ÷ 2 = 2 15 ÷2

Make An Equivalent Fraction Find the Missing Denominator! We divided the numerator by ... 18 24 6 ÷ 3 = 3 8 ÷3

Make An Equivalent Fraction Find the Missing Denominator! We divided the numerator by ... 20 25 4 ÷ 5 = 5 4 ÷5

Make An Equivalent Fraction Find the Missing Numerator! We divided the denominator by ... 9 15 3 ÷ 3 = 3 5 ÷3

Make An Equivalent Fraction Find the Missing Numerator! We divided the denominator by ... 12 24 1 ÷ 12 = 12 2 ÷12

Make An Equivalent Fraction Find the Missing Numerator! We divided the denominator by ... 36 40 9 ÷ 4 = 4 10 ÷4

Fractions in Simplest Form (This is also known as “reducing.”) Fractions are in simplest form when the numerator and denominator do not have any common factors besides 1. Examples of fractions that are in simplest form: 4 5 1 2 3 8

Writing Fractions in Simplest Form. Find the greatest common factor (GCF) of the numerator and denominator. Divide both numbers by the GCF.

5 20 ÷ 4 = 7 28 ÷ 4 20 28 Example: GCF: 4 Simplest Form 20: 1, 2, 4, 5, 10, 20 20 28 28: 1, 2, 4, 7, 14, 28 1 x 20 2 x 10 4 x 5 1 x 28 2 x 14 4 x 7 Common Factors: 1, 2, 4 GCF: 4 We will divide by 4.

3 27 ÷ 9 = 5 45 ÷ 9 27 45 Example: GCF: 9 Simplest Form 20: 1, 3, 9, 27 27 45 28: 1, 3, 5, 9, 15, 45 1 x 27 3 x 9 1 x 45 3 x 15 5 x 9 Common Factors: 1, 3, 9 GCF: 9 We will divide by 9.

5 15 ÷ 3 = 6 18 ÷ 3 15 18 Example: GCF: 3 Simplest Form 15: 1, 3, 5, 15 15 18 18: 1, 2, 3, 6, 9, 18 1 x 15 3 x 5 1 x 18 2 x 9 3 x 6 Common Factors: 1, 3 GCF: 3 We will divide by 3.

2 8 ÷ 4 = 3 12 ÷ 4 8 12 Example: GCF: 4 Simplest Form 8: 1, 2, 4, 8 8: 1, 2, 4, 8 8 12 12: 1, 2, 3, 4, 6, 12 1 x 8 2 x 4 1 x 12 2 x 6 3 x 4 Common Factors: 1, 2, 4 GCF: 4 We will divide by 4.

Online Practice Flash Cards http://www.helpingwithmath.com/resources/games/fraction_game4/equivalent01.html http://www.mathplayground.com/fractions_reduce.html http://mathematics.hellam.net/maths2000/fraction1.html Flash Cards

Math Fun: Fiona went to the produce market. She spent $1.20 for a bag of squash, which sold for $0.60 per pound. Her bag of 6 equally-sized apples weighed the same as their bag of 2 identical squash. Her 8 peaches, all about the same size, weighed as much as 3 apples and 1 squash. She also purchased a small pumpkin that weighed the same as 12 peaches. How much did the pumpkin weigh?

Answer: The pumpkin weighed 3 pounds. Fiona bought 2 squash. Since she spent $1.20, with squash priced at $0.60 per pound, the 2 squash must have weighed 2 pounds. This means that 6 apples also weigh 2 pounds, and 3 apples weigh 1 pound. You also know that 8 peaches weigh 2 pounds, so 4 peaches weigh 1 pound and 12 peaches must weigh 2 + 1 = 3 pounds, which is also the weight of the pumpkin.

Resources: http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf http://nces.ed.gov/nceskids/grabbag/math_teasers/Challenge2.asp http://www.mrhammond.org/math/mathlessons/ www.nwlincs.org/nwlincsweb/EITCdata/Fractions/01EquivFrac.ppt star.spsk12.net/math/5/equivalent_fractions.ppt

http://www.mathplayground.com/fractions_reduce.html http://www.helpingwithmath.com/resources/games/fraction_game4/equivalent01.html http://mathematics.hellam.net/maths2000/fraction1.html