EAST ALLEN COUNTY SCHOOLS
Bundle 3
Grade 5
Math
Fractions
Big Idea: Parts of a Whole
Enduring Understandings
Essential Questions
Fractions can be represented visually and in written form.
How do fractions relate to whole numbers and decimals?
Fractions can represent whole numbers.
Why is it necessary to simplify a fraction to lowest terms?
A fraction describes the division of a whole into equal parts, and it can be
interpreted in more than one way depending on what is whole.
CC/Learning Targets
5.1.5
5.2.2 a-f
5.2.3 a,b
5.2.4 a,b
5.7.1
5.7.2
5.7.3
5.NF.1
How does the knowledge of greatest common factor and least common multiple
help when comparing fractions?
Core Vocabulary
Links to Technology
-Math!!! (app)
-Fast Facts Multiplication (app)
-Doodle Numbers (app)
-Math Practice Lite (app)
5.NF.3
5.NF.4a.
5.NF.5
5.NF.6
5.NF.7
Bundle Performance Task(s)
Wanted- Party Planner (no experience necessary).
Candidate must have excellent math skills, organizational skills, and creativity.
Job Description-You are in charge of preparing snacks and beverages for a celebration at a local charity. There will be a total of 24 people coming to the
celebration. The charity has supplied the recipes, but the serving sizes vary. Your job will be to look at the recipes and then rewrite them for 24 people (use your
superior math skills). There’s not much time left…only a week. You better get busy!
As an extension, you are in charge of making a grocery list for the supplies for this celebration. The charity already has purchased some in gredients for the
celebration. You will be given $75.00 to purchase the ingredients not supplied. To make it easier to purchase these items, a grocery store cost sheet has been
provided for you. Once again, you will need to consider how much you will need to purchase, based on the serving size of the recipe and people coming to the
celebration. Don’t spend more than necessary; this is a charity. The charity also feels that it is important to have invitations for the celebration, and because of a
lack of time on their part, they are asking that as an extra bonus, you create the invitation for the benefit celebration.
See Performance Task Template at the end of the bundle.
Grade 5
Math Bundle 3
Quarter 2
Oct. – Nov.
Recommended Read-Alouds
G5 - Bundle 3
Big Idea: Accuracy
Title
Relates to…
Author
Full House : an Invitation to Fractions
Dodds, Dayle Ann
Fractions
Fractions, Decimals, and Percents
Adler, David
Fractions, decimals, percents
Pythagoras and the Ratios: a Math Adventure
Ellis, Julie
Ratios
Math
G5 - Bundle 3
CC/Learning Targets
*5.1.5
Explain different interpretations of
fractions: as parts of a whole, parts of a
set, and division of whole numbers by
whole numbers.
Parts of a whole
Parts of a set
Division of whole numbers by
whole numbers
Resource of Ideas
-The Number Devil: A Mathematical Adventure by Hans Magnus -Enzensberger pp. 18-20, 181-187
-Full House an Invitation to Fractions by Dayle Ann Dodds
-Pythagoras and the Ratios: a Math Adventure by Julie Ellis
Evidence of Learning
-Houghton Mifflin Math
Corresponding Lesson Resources
-Student created posters/charts
-Think-Pair-Share
-I Have/Who Has?
-Daily Math Review
-Pizza Fractions (app) *Now $.99
-Fraction Bars
-Parts of a Whole
-Naming Fractions
-Visualizing Fractions
-Houghton Mifflin Lesson 9.5
*5.2.2
Add and subtract fractions (including
mixed numbers) with different
denominators.
a. List multiples of whole numbers up to
10.
b. Identify common multiples of whole
numbers up to 10.
c. Find equivalent fractions through
multiplication or division of numerators
and denominators.
d. Add and subtract fractions with
different denominators.
e. Add mixed numbers with different
denominators (with and without
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp.3-28
-Pigs Will Be Pigs: Fun with Math and Money by Amy Axelrod
-Too Many Cooks by Andrea Buckless
-Adding Fractions
-Action Fraction Race Game
-enVisionMATH Topics 9.7-9.9, 10.4-10.6
-enVisionMATH Corresponding
Lesson Resources
-Quiz
-I Have/Who Has?
-Teacher observation during
practice time
-Daily Math Review
Math
G5 - Bundle 3
regrouping).
f. Subtract mixed numbers with different
denominators (with and without
regrouping).
(5.NF.2)
*5.2.3
Solve word problems involving
addition and subtraction of
fractions referring to the same
whole, including cases of unlike
denominators, e.g., by using
visual fraction models or
equations to represent the
problem. Use benchmark
fractions and number sense of
fractions to estimate mentally
and assess the reasonableness
of answers. For example,
recognize an incorrect result 2/5
+ 1/2 = 3/7, by observing that 3/7
< 1/2.
Use models to show an understanding of
multiplication and division of fractions.
a. Represent multiplication of fractions
with models.
b. Represent division of fractions with
models.
(5.NF.7)
Apply and extend previous
-You Tube Video- Multiplying Fractions
-Houghton Mifflin Math
Lessons 12.1, 12.4
-Teacher observation during math
Math
G5 - Bundle 3
understandings of division to
divide unit fractions by whole
numbers and whole numbers by
unit fractions.
a. Interpret division of a unit
fraction by a non-zero whole
number, and compute such
quotients. For example, create
a story context for (1/3) ÷ 4,
and use a visual fraction
model to show the quotient.
Use the relationship between
multiplication and division to
explain that (1/3) ÷ 4 = 1/12
because (1/12) × 4 = 1/3.
b. Interpret division of a whole
number by a unit fraction, and
compute such quotients. For
example, create a story
context for 4 ÷ (1/5), and use
a visual fraction model to
show the quotient. Use the
relationship between
multiplication and division to
explain that 4 ÷ (1/5) = 20
because 20 × (1/5) = 4.
c. Solve real world problems
involving division of unit
fractions by non-zero whole
numbers and division of
whole numbers by unit
fractions, e.g., by using visual
fraction models and equations
Math
G5 - Bundle 3
to represent the problem. For
example, how much
chocolate will each person get
if 3 people share 1/2 lb of
chocolate equally? How many
1/3-cup servings are in 2 cups
of raisins?
*5.2.4
Multiply and divide fractions to solve
problems.
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp.3-28
a. Multiply fractions to solve problems.
-Fraction x Whole Number Game
-Multiplying Fractions Jeopardy
-Multiply Fractions-Battleship
b. Divide fractions to solve problems.
(5.NF.7)
Apply and extend previous
understandings of division to
divide unit fractions by whole
numbers and whole numbers by
unit fractions.
a. Interpret division of a unit
fraction by a non-zero whole
number, and compute such
quotients. For example, create
a story context for (1/3) ÷ 4,
and use a visual fraction
model to show the quotient.
Use the relationship between
multiplication and division to
explain that (1/3) ÷ 4 = 1/12
because (1/12) × 4 = 1/3.
b. Interpret division of a whole
number by a unit fraction, and
- enVisionMATH Topics 11.2, 11.4, 11.9, 11.10
-enVisionMATH Corresponding
Lesson Resources
-Quiz
-I Have/Who Has
-Teacher observation during
practice time
-Daily Math Review
Math
G5 - Bundle 3
compute such quotients. For
example, create a story
context for 4 ÷ (1/5), and use
a visual fraction model to
show the quotient. Use the
relationship between
multiplication and division to
explain that 4 ÷ (1/5) = 20
because 20 × (1/5) = 4.
c. Solve real world problems
involving division of unit
fractions by non-zero whole
numbers and division of whole
numbers by unit fractions, e.g.,
by using visual fraction models
and equations to represent the
problem. For example, how
much chocolate will each
person get if 3 people share
1/2 lb of chocolate equally?
How many 1/3-cup servings
are in 2 cups of raisins?
5.7.1
Problem Solving
Analyze problems by identifying
relationships, telling relevant from
irrelevant information, sequencing and
prioritizing information, and observing
patterns.
Problem Solving Strategies:
-Use or Look for a Pattern
-Work Backwards
-Use Logical Reasoning
-Make It Simpler
-Write a Number Sentence
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp.29-69, 166-168
-The Problem Solver 4: Activities for Learning Problem-Solving Strategies
-See Problem Solving Template in
Appendix
Math
5.7.2
G5 - Bundle 3
Problem Solving
Decide when and how to break a
problem into simpler parts.
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp.29-69, 166-168
-The Problem Solver 4: Activities for Learning Problem-Solving Strategies
-See Problem Solving Template in
Appendix
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp.29-69, 166-168
-The Problem Solver 4: Activities for Learning Problem-Solving Strategies
-See Problem Solving Template in
Appendix
Problem Solving Strategies:
-Use or Look for a Pattern
-Work Backwards
-Use Logical Reasoning
-Make It Simpler
-Write a Number Sentence
5.7.3
Problem Solving
Apply strategies and results from simpler
problems to solve more complex
problems.
Problem Solving Strategies:
-Use or Look for a Pattern
-Work Backwards
-Use Logical Reasoning
-Make It Simpler
-Write a Number Sentence
5.NF.1
Add and subtract fractions with
unlike denominators (including
mixed numbers) by replacing
given fractions with equivalent
fractions in such a way as to
produce an equivalent sum or
difference of fractions with like
denominators. For example, 2/3
+ 5/4 = 8/12 + 15/12 = 23/12. (In
general, a/b + c/d = (ad +
bc)/bd.)
- enVisionMATH Topic 9-1-9-9, 10-1, 10-4-10-7
5.NF.3
Interpret a fraction as division of
- enVisionMATH Topic 11-1
Math
G5 - Bundle 3
the numerator by the
denominator (a/b = a ÷ b). Solve
word problems involving division
of whole numbers leading to
answers in the form of fractions
or mixed numbers, e.g., by using
visual fraction models or
equations to represent the
problem. For example, interpret
3/4 as the result of dividing 3 by
4, noting that 3/4 multiplied by 4
equals 3, and that when 3
wholes are shared equally
among 4 people each person
has a share of size 3/4. If 9
people want to share a 50-pound
sack of rice equally by weight,
how many pounds of rice should
each person get? Between what
two whole numbers does your
answer lie?
5.NF.4a
Apply and extend previous
understandings of multiplication
to multiply a fraction or whole
number by a fraction.
a. Interpret the product (a/b) ×
q as a parts of a partition of
q into b equal parts;
equivalently, as the result of
a sequence of operations a
× q ÷ b. For example, use a
visual fraction model to show
- enVisionMATH Topic 11-2, 11-4, 11-6
Math
G5 - Bundle 3
(2/3) × 4 = 8/3, and create a
story context for this
equation. Do the same with
(2/3) × (4/5) = 8/15. (In
general, (a/b) × (c/d) =
ac/bd.)
5.NF.5
Interpret multiplication as scaling
(resizing), by:
- enVisionMATH Topic 11.-3, 11-7, 11-8, 11-11, 11-9, 11-10
a. Comparing the size of a
product to the size of one
factor on the basis of the size
of the other factor, without
performing the indicated
multiplication.
b. Explaining why multiplying a
given number by a fraction
greater than 1 results in a
product greater than the given
number (recognizing
multiplication by whole
numbers greater than 1 as a
familiar case); explaining why
multiplying a given number by
a fraction less than 1 results in
a product smaller than the
given number; and relating the
principle of fraction
equivalence a/b = (n×a)/(n×b)
to the effect of multiplying a/b
by 1.
5.NF.6
Solve real world problems
-Five Easy Steps to a Balanced Math Program for Upper Elementary
-See Problem Solving Template in
Math
G5 - Bundle 3
involving multiplication of
fractions and mixed numbers,
e.g., by using visual fraction
models or equations to represent
the problem.
Correlating CC/Learning Targets
5.1.7
5.2.5
5.2.7
5.NBT.7
Grades pp.29-69, 166-168
-The Problem Solver 4: Activities for Learning Problem-Solving Strategies
Appendix
-Problem Solving Activities
Teacher Notes
To access enVisionMATH materials for 2006 Indiana State standards:
www.pearsonsuccessnet.com
username: envisionindiana
password: 123456
Indicators from the previous bundles should be incorporated into Bundle 3 (DMRs) to ensure that students
continue to build mastery of previous topics.
5th Grade Math Performance Task
Bundle 3: Parts of a Whole
Party Planner
Description of Task- You are in charge of preparing snacks and beverages for a celebration at a
local charity. There will be a total of 24 people coming to the celebration. Your first job will be to look
at the recipes and then rewrite them for 24 people (use your superior math skills).
Chex Mix Puppy Chow
9 cups Chex
1 cup chocolate chips
½ cup peanut butter
¼ cup butter
¼ teaspoon vanilla
1 ½ cup powdered sugar
Put cereal in large bowl. Melt chocolate chips, peanut
butter, and butter. Remove from heat and stir in vanilla.
Pour over Chex cereal, put into a large plastic bag with
powdered sugar and shake well to coat.
Spread mixture evenly on wax paper and allow to cool.
Yield: 12 servings
No Bake Peanut Butter Brownies
4 cups graham cracker crumbs
1 cup peanuts, chopped
½ cup powdered sugar
¼ cup peanut butter
2 cups semisweet chocolate chips
1 cup evaporated milk
1 teaspoon vanilla extract
Combine first 4 ingredients with a pastry blender. In a
small saucepan, melt the chocolate chips with milk over
low heat, stirring constantly until smooth. Remover from
heat; add vanilla. Remove ½ cup and set aside.
Pour remaining chocolate mixture over crumb mixture
and stir until well blended. Spread evenly in a greased 9inch square baking pan. Frost with the reserved
chocolate mixture. Chill for about 1 hour.
Yield: 2 dozen
Fruit Salad
2 cups watermelon balls
2 cups strawberries, halved
2 cups blueberries
3 medium bananas, sliced
2 cups sliced peaches
2 cups sparkling white grape juice
Combine the watermelon, strawberries, and blueberries
in a glass bowl, cover and chill until ready to serve.
To serve, add the sliced bananas and peaches; pour the
white grape juice over the top. Serve with a slotted
spoon.
Yield: 6 servings
Easy Fruit Punch
3 cans frozen fruit punch
9 cans of lemon-lime soda, chilled
Pour fruit punch into a large container pr punch bowl.
Slowly add each can of chilled soda. Carefully stir after
each addition of soda.
Yield: 12 servings
Rewrite the Recipes
Chex Mix
Product
Chex
Chocolate Chips
Peanut Butter
Butter
Vanilla
Powdered Sugar
Original Amount
Number Sentence
New Amount
Show Your Work
Chex
Chocolate Chips
Peanut Butter
Butter
Vanilla
Powdered Sugar
No Bake Peanut Butter Brownies
Product
Graham Crackers
Peanuts
Powdered Sugar
Peanut Butter
Chocolate Chips
Evaporated Milk
Vanilla Extract
Original Amount
Number Sentence
New Amount
Show Your Work
Graham
Crackers
Peanuts
Powdered
Sugar
Peanut
Butter
Chocolate
Chips
Evaporated
Milk
Vanilla
Extract
Easy Fruit Punch
Product
Original Amount
Number Sentence
New Amount
Fruit Punch
Lemon-Lime Soda
Show Your Work
Fruit Punch
Lemon-Lime Soda
Fruit Salad
Product
Original Amount
Number Sentence
New Amount
Graham Crackers
Peanuts
Powdered Sugar
Peanut Butter
Chocolate Chips
Evaporated Milk
Show Your Work
Graham
Crackers
Peanuts
Powdered
Sugar
Peanut
Butter
Chocolate
Chips
Evaporated
Milk
Bundle 3
Extension:
The charity has supplied the recipes, but the serving sizes vary. The charity already has purchased some
ingredients for the celebration. Check the supplied ingredients sheet because you will need to go
shopping for the remaining ingredients. You will be given $75.00 to purchase the ingredients not supplied.
To make it easier to purchase these items, a grocery store cost sheet has been provided for you. Once
again, you will need to consider how much you will need to purchase, based on the serving size of the
recipe and people coming to the celebration. Don’t spend more than necessary, this is a charity.
What’s in the Cupboard?
Chocolate Chips
2 cups
Evaporated Milk
1 cup
Chex Cereal
12 cups
Peanut Butter
1 cup
Powdered Sugar
2 cups
Peanuts
3 cups
Grocery Store Prices
Product
Amount
Cost
Watermelon
1
$4.99
Vanilla Extract
8 oz.
$2.39
Graham Cracker Crumbs
1 box (2 cups)
$2.79
Butter
4 sticks
$1.89
Powdered Sugar
16 oz.
$1.79
Lemon-Lime Soft Drink
12 pack
$3.49
Strawberries
2 pkgs. (4 cups)
$4.00
Blueberries
2 pkgs. (4 cups)
$4.00
Bananas
1 lb. (3 bananas)
$0.69
Sparkling White Grape Juice
64 oz. bottle
$3.19
Chocolate Chips
12 oz. (1 ½
cups)
$2.89
Peaches
2 peach (1 cup)
$1.00
My Grocery List
Grocery Item
Amount
Needed
Cost
Per Unit
Total
Cost