Dividing Fractions

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Transcript Dividing Fractions

Readiness Standard
5.3L Divide whole numbers by unit fractions and unit fractions by whole numbers.
Learning Goal
In addition to score 3.0 performance, I can demonstrate in
depth inferences and applications that go beyond what was
taught.
Level 4
I can: complete a dividing fractions project.
I can:

Divide whole numbers by unit fractions and unit fractions
by whole numbers. (5.3L)
Sample Tasks
Do something amazing to apply your new (or
old)knowledge! Create a work of art using
pattern blocks and use multiplication and
division of fractions by whole numbers to
describe your work. Adjust a recipe—AND
cook it for us! Complete the “If the World
Were a Village” project to extend your
learning to percentages and to review
fraction simplification.
Possible Resources
“Adjusting a Recipe”
“Pattern Block Pictures”
”If the World Were a Village”
Lessons:
Level 3, Links 11, 12
Practice:
Link 13
“Dividing Unit Fractions by
Whole Numbers & Whole
Numbers by Unit Fractions Using
Models” Task Cards
Expression/Equation Cards Only
Level 3
More Practice: “Dividing
Fractions Task Cards”
Expression/Equation/Word
Problem Cards Only—NO Models
Even More Practice: Motivation
Math, Unit 13, Expression/
Equation/Word Problem Items
Only—NO Models
Readiness Standard
5.3L Divide whole numbers by unit fractions and unit fractions by whole numbers.
Learning Goal
I can:

Represent and solve multiplication of a whole number and
a fraction that refers to the same whole using objects and
pictorial models, including area models. (5.3I)
Sample Tasks
Possible Resources
Lessons:
Level 3, Link 6, 7, 8, 9
Practice:
Level 3, Link 10
“Multiplying Fractions With
Models” Task Cards
More Practice: Motivation
Math, Unit 12

Represent division of a unit fraction by a whole number
and the division of a whole number by a unit fraction such
as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models,
including area models. (5.3J)
Level 3
Lessons:
Level 3, Links 1, 2, 3, 4
Practice:
Level 3, Link5
More Practice: “Divide Fractions
With Models Task Cards Set 1”
More Practice: “Dividing Unit
Fractions by Whole Numbers &
Whole Numbers by Unit
Fractions Using Models” Task
Cards Model Cards Only
Even More Practice: “Dividing
Fractions Task Cards” All “Unit
Fractions by Whole Numbers”
MODEL Cards & All “Whole
Numbers by Unit Fractions”
MODEL Cards
And Even More Practice:
Motivation Math, Unit 13,
MODEL Problems ONLY
Level 1
I can: Complete level 2 with support.
I can perform basic processes, such as:
•
Add and subtract fractions with unlike denominators,
including mixed numbers

Determine the least common denominator
Lesson:
Level 2, Link 6, 11, 12
Practice:
Level 2, Links 7, 8, 9, 10, 13
Motivation Math, Unit 11
LCD of ¼ and 3/12 = 12;
Find the LCD of 3/8 and 2/6
Lesson:
Level 2, Link 5
LCM of 4 and 12 = 12
4: 4, 8, 12, 16, 20, 24
12: 12, 24, 36, 48
•
Determine the least common multiple
LCM of 8 and 6
6: 6, 12, 18, 24, 30
8: 8, 16, 24, 32
Level 2 

Add and subtract fractions with like denominators
¼ + 2/4 = ¾
1/3 + 1/3 = 2/3
Lesson:
Level 2, Link 4
Lesson:
Level 2, Link 1
Level 2, Links 2, 3
Practice:
Add and subtract fractions with pictorial models and
properties of operations
I can recognize or recall specific vocabulary, such as:

numerator

denominator

lowest common denominator

least common multiple
Lowest common denominator:
The smallest whole number that
can be used for all denominators of
2 or more fractions.
Least common multiple: the
lowest number two (or more)
different denominators have in
common when you count by those
denominators.
Vocabulary Adventures, pages
13 – 14; 47 – 50; 57 - 58
Vocabulary Matching Game for
5.3K, Level 2
5.3J
10/10
10/28
5.3L--divide whole
numbers by unit
fractions and unit
fractions by whole
numbers
5.3I
5.3F
5.3D
represent division of a unit fraction
by a whole number and the division
of a whole number by a unit fraction
such as 1/3 ÷ 7 and 7 ÷ 1/3 using
objects and pictorial models,
including area models
represent and solve multiplication of
a whole number and a fraction that
refers to the same whole using
objects and pictorial models,
including area models
represent quotients of decimals to
the hundredths, up to four‐digit
dividends and two-digit whole
number divisors, using objects and
pictorial models, including area
models
represent multiplication of decimals
with products to the hundredths
using objects and pictorial models,
including area models
Level 3 Links:
Link 1: https://learnzillion.com/lesson_plans/5791-use-visual-models-for-division-of-whole-numbers-by-unit-fractions
Link 2: https://learnzillion.com/lesson_plans/236
Link 3: https://learnzillion.com/lesson_plans/7994
Link 4: https://d3jc3ahdjad7x7.cloudfront.net/UXJFoAFhv8KUz9swFbLDOI68ehOaYtCXTHM4aoBZqL2W4SxU.pdf
Link 5: https://www.ixl.com/math/grade-6/divide-whole-numbers-by-unit-fractions-using-models
Link 6: https://learnzillion.com/lesson_plans/4654-multiply-fractions-by-whole-numbers-using-models
Link 7: https://learnzillion.com/lesson_plans/4654
Link 8: https://learnzillion.com/lesson_plans/6656-use-a-fraction-model-for-multiplication-of-fractions-and-whole-numbers
Link 9: https://learnzillion.com/lesson_plans/4957-multiply-by-fractions-using-repeated-addition
Link 10: https://www.studyladder.com/games/activity/multiplying-fractions-by-a-whole-number-visual-28487
Link 11 : https://learnzillion.com/lesson_plans/5021-divide-a-unit-fraction-by-a-whole-number
Link 12: http://klru.pbslearningmedia.org/resource/mgbh.math.nf.divfrac/dividing-a-whole-number-by-a-unit-fraction/
Link 13: https://www.splashmath.com/math-skills/fifth-grade/fractions/divide-unit-fraction-by-a-whole
Bonus Fun Link: https://www.studyladder.com/games/activity/divide-whole-numbers-with-fractions-problem-solving-28736
Level 2 Links:
Link 1: https://www.khanacademy.org/math/arithmetic-home/arith-review-fractions/adding-subtracting-frac/v/adding-fractions-with-like-denominators
Link 2: https://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-like-denominators
Link 3: https://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-like-denominators
Link 4: https://www.khanacademy.org/math/in-sixth-grade-math/playing-numbers/lowest-common-multiple/v/least-common-multiple-exercise
Link 5: https://www.khanacademy.org/math/arithmetic-home/arith-review-fractions/common-denominators/v/finding-common-denominators
Link 6: http://www.sheppardsoftware.com/mathgames/fractions/LeastCommonDenomimator.htm
Link 7: http://www.fun4thebrain.com/beyondfacts/lcmsnowball.html
Link 8: https://learnzillion.com/lesson_plans/8178-add-and-subtract-fractions-with-unlike-denominators
Link 9: https://www.ixl.com/math/grade-6/add-and-subtract-fractions-with-unlike-denominators
Link 10: https://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-unlike-denominators-word-problems
Link 11: http://www.mathplayground.com/fractions_add.html
Link 12: http://www.mathplayground.com/fractions_sub.html