EAST ALLEN COUNTY SCHOOLS
Bundle 4
Grade 4
Math
Fractions/Decimals
Big Idea: Determination
Enduring Understandings
Essential Questions
Fractions and decimals express a relationship between two numbers.
What does a fraction represent?
Operation strategies with fractions and decimals are similar to those used with
whole numbers.
How do we write decimals as fractions?
How do improper fractions relate to mixed numbers?
Fractions and decimals represent parts of a whole.
How can you use fractions/decimals in real life?
A decimal is another name for a fraction.
CC/Learning Targets
*4.1.5
*4.1.6
*4.1.7
*4.1.8
*4.1.9
*4.2.8
4.2.9
*4.2.10
*4.3.1
*4.5.10
4NF.7
3NF.2
4.7
4.OA.2
4.NF.1
4.NF.2
4.NF.4
4.NF.5
4.NF.7
Core Vocabulary
equivalents
improper fractions
hundredths
mixed numbers
Links to Technology
Coop Fractions
Everyday Mathematics Equivalent Fractions
Pizza Fractions
Motion Math Zoom (decimals)
Math !!!
MyBlee Education
Brain Genie
Oh No Fractions!
Fraction Basics
4th Grade Splash Math
Virtual Manipulatives (fraction bars)
Bundle Performance Task(s)
Your class is planning a holiday party. Your teacher is going to order pizzas as part of the celebration. Each pizza is cut into ten slices. In order to get an accurate count for your
teacher, complete the following steps:
As a whole group, each student needs to decide how many slices of pizza he/she would like to have (no more than 3 per student)
Record the number of slices per student in fraction form. For example, 2 slices = 2/10. Record results on a chart as a whole group.
As a whole group, add up all the individual fractions, which will create an improper fraction.
Convert the improper fraction to a mixed number. Simplify where needed .Use this data to determine how many total pizzas will be needed for the celebration.
Repeat this process as a class, this time using decimal format. For example, 2 slices= 0.2.
Record results on a chart as a whole group.
Add up all the individual decimals. Use this data to determine how many total pizzas will be needed for the celebration.
Compare the fraction results and the decimal results to confirm accuracy.
Grade 4
Math Bundle 4
Quarter 2
Nov.-Dec.
Recommended Read-Alouds
G4 - Bundle 4
Big Idea: Determination
Title
Relates to…
Author
Fraction Fun
Adler, David A.
Fractions
Full House: An Invitation to Fractions
Dodds, Dayle Ann
Fractions
Picture Pie
Emberley, Ed
Fractions
Piece = Part = Portion: Fractions = Decimals = Percents
Gifford, Scott
Fractions
The Lion’s Share
McElligott, Matthew
Fractions
Give Me Half!
Murphy, Stuart J.
Fractions
Jump, Kangaroo, Jump!
Murphy, Stuart J.
Fractions
The Hershey’s Milk Chocolate Bar Fractions Book
Pallotta, Jerry
Fractions
Math
G4 - Bundle 4
CC/Learning Targets
*4.1.5
Rename and write whole numbers as
fractions.
Resource of Ideas
Evidence of Learning
-Fraction Fun by David A. Adler
-Give Me Half! by Stuart J. Murphy
-Piece = Part = Portion: Fractions = Decimals = Percents by Scott Gifford
-Jump, Kangaroo, Jump! by Stuart J. Murphy
-The Hershey’s Milk Chocolate Bar Fractions Book by Jerry Pallotta
-Full House: An Invitation to Fractions by Dayle Ann Dodds
-Houghton Mifflin Math
Corresponding Lesson Resources
-Class game of I Have, Who Has?
-Fraction match game using note
cards
-Fractions Quiz
-Fractions
-Who Wants Pizza? (Fraction activity)
-Fractions Problem Solving
-Equivalent Fractions
-Explore Equal Parts
-Flashcards
-Houghton Mifflin Math
Lesson 19.1
*4.1.6
Name and write mixed numbers, using
objects or pictures.
-SMARTboard Activity
-enVision MATH Topic 12-1 – 12-11
(4NF.3)
a. Define and explain mixed numbers as
whole numbers and a fraction.
b. Name and write mixed numbers, using
objects or pictures.
+Add and subtract mixed numbers with
like denominators using properties of
operations and the relationship between
addition and subtraction.
-Houghton Mifflin Math
Lessons 19.2, 19.6
-Houghton Mifflin Math
Corresponding Lesson Resources
-Class game of I Have, Who Has?
-Fraction match game using note
Cards
-Fractions Quiz
Math
*4.1.7
Name and write mixed numbers as
improper fractions, using objects or
pictures.
a. Describe an improper fraction as
larger than a whole number.
G4 - Bundle 4
-SMARTboard Activity
-SMARTboard Activity
-Mixed to Improper
-Improper to Mixed
-Flashcards
-enVision MATH Topic 12-6
b. Write an improper fraction using
objects or pictures.
*4.1.8
Write tenths and hundredths in decimal
and fraction notations. Know the fraction
and decimal equivalents for halves and
fourths.
a. Write tenths in decimal and fraction
notations.
b. Write hundredths in decimal and
fraction notations.
*4.1.9
-Houghton Mifflin Math
Lesson 19.7
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp. 3-28
-Decimal Place Value
-Decimals & Fractions (Variety of resources)
-Fraction & Decimal Relationships
-Decimal Games
-Decimals
-enVision MATH Topic 13-4, 13-5, 13-6
c. Name and write the fraction and
decimal equivalents for halves and
fourths.
Round two-place decimals to tenths or to
the nearest whole number.
-Houghton Mifflin Math
Lessons 21.1, 21.2, 21.3, 21.4
a. Round two-place decimals to tenths.
-Houghton Mifflin Math
Lessons 22.1, 22.2
b. Round two-place decimals to the
nearest whole number.
-Houghton Mifflin Math
Corresponding Lesson Resources
-Class game of I Have, Who Has?
-Fraction match game using note
cards
-Fractions Quiz
-Daily Math Review
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp. 3-28
-Houghton Mifflin Math
Corresponding Lesson Resources
-Use graph paper to represent
decimals/fractions pictorially
-Input Output Machine (ex: input is
4 out of 10, output is 4/10 and
0.4)
-Decimal/fraction number
scavenger hunt in newspapers
-Daily Math Review
-Houghton Mifflin Math
Corresponding Lesson Resources
-Observation during a class game
of I Have, Who Has?
-Daily Math Review
-Quiz
Math
*4.2.8
(4NF.3)
Add and subtract simple fractions with
different denominators, using objects or
pictures.
G4 - Bundle 4
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp. 3-28
a. Explain the need for a common
denominator when adding and
subtracting fractions.
-Fraction Fun by David A. Adler
-Give Me Half! by Stuart J. Murphy
-Piece = Part = Portion: Fractions = Decimals = Percents by Scott Gifford
-Jump, Kangaroo, Jump! by Stuart J. Murphy
+Understand addition and subtraction of
fractions as joining and separating parts
referring to the same
whole
-Order Fractions
-Adding Fractions
-Subtracting Fractions
-Flashcards
+Decompose a fraction into a sumo of
fractions with the same denominator in
more than one way, recording each
decomposition by an equation
-enVision MATH Topic 12-1, 12-2, 12-3, 12-4
-Houghton Mifflin Math
Corresponding Lesson Resources
-Pictorial representations of
addition and subtraction fraction
sentences
-Daily Math Review
-Houghton Mifflin Math
Lessons 20.1, 20.6, 20.7
+Solve word problems involving addition
and subtraction of fractions referring to
the same whole and having like
denominators.
b. Add simple fractions with different
denominators using objects or pictures.
c. Subtract simple fractions with different
denominators, using objects or pictures.
4.2.9
Add and subtract decimals (to
hundredths), using objects or pictures.
a. Add decimals (to hundredths), using
objects or pictures.
-Add decimals with grids
-Subtract decimals with grids
-Decimal Games
-Houghton Mifflin Math
-Houghton Mifflin Math
Corresponding Lesson Resources
-Think, pair, share with a partner
on a given problem
Math
G4 - Bundle 4
Lesson 22.3
b. Subtract decimals (to hundredths),
using objects or pictures.
*4.2.10
Use a standard algorithm to add and
subtract decimals (to hundredths).
a. Use a standard algorithm to add
decimals (to hundredths).
-Adding Decimals
-Subtracting Decimals
-SMARTboard Activity (Adding and subtracting decimals)
-Houghton Mifflin Math
Lessons 22.4, 22.5
b. Use a standard algorithm to subtract
decimals (to hundredths).
*4.5.10
Calculate the amount of change from a
purchase.
-enVision MATH Topic 13-9, 15-3
-Houghton Mifflin Math
Lesson 2.4
4.NF.1
Explain why a fraction a/b is equivalent
to a fraction (n × a)/(n × b) by using
visual fraction models, with attention to
how the number and size of the parts
differ even though the two fractions
themselves are the same size. Use this
principle to recognize and generate
equivalent fractions.
- enVision MATH Topic 11-4, 11-5
4.NF.2
Compare two fractions with different
numerators and different denominators,
e.g., by creating common denominators
or numerators, or by comparing to a
benchmark fraction such as 1/2.
Recognize that comparisons are valid
- enVision MATH Topic 11-6, 11-7, 11-8
-Houghton Mifflin Math
Corresponding Lesson Resources
-The total cost of a grocery list of
items (given by the teacher) using
prices from a store’s ad
-Think, pair, share with a partner
on a given problem
-Calculate the balance of a bank
account
-Houghton Mifflin Math
Corresponding Lesson Resources
-Think, pair, share with a partner
on a given problem
-Quiz
- enVision MATH chapter test
Math
G4 - Bundle 4
only when the two fractions refer to the
same whole. Record the results of
comparisons with symbols >, =, or <, and
justify the conclusions, e.g., by using a
visual fraction model.
4.NF.4
Apply and extend previous
understandings of multiplication to
multiply a fraction by a whole number.
a. Understand a fraction a/b as a
multiple of 1/b. For example, use
a visual fraction model to
represent 5/4 as the product 5 ×
(1/4), recording the conclusion
by the equation 5/4 = 5 × (1/4).
b. Understand a multiple of a/b as a
multiple of 1/b, and use this
understanding to multiply a
fraction by a whole number. For
example, use a visual fraction
model to express 3 × (2/5) as 6 ×
(1/5), recognizing this product as
6/5. (In general, n × (a/b) = (n ×
a)/b.)
c. Solve word problems involving
multiplication of a fraction by a
whole number, e.g., by using
visual fraction models and
equations to represent the
problem. For example, if each
person at a party will eat 3/8 of a
pound of roast beef, and there
will be 5 people at the party, how
many pounds of roast beef will
be needed? Between what two
whole numbers does your
answer lie?
- enVision MATH Topic 13-1, 13-2, 13-3
- enVision MATH chapter test
Math
G4 - Bundle 4
4.NF.5
Express a fraction with denominator 10
as an equivalent fraction with
denominator 100, and use this technique
to add two fractions with respective
denominators 10 and 100. For example,
express 3/10 as 30/100, and add 3/10 +
4/100 = 34/100.
- enVision MATH Topic 13-4, 13-5
- enVision MATH chapter test
4.NF.7
Compare two decimals to hundredths by
reasoning about their size. Recognize
that comparisons are valid only when the
two decimals refer to the same whole.
Record the results of comparisons with
the symbols >, =, or <, and justify the
conclusions, e.g., by using a visual
model.
- enVision MATH Topic 13-7, 13-8
- enVision MATH chapter test
4.7
Problem Solving
-The Problem Solver 4: Activities for Learning Problem-Solving Strategies
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp. 29-69, 153-154
-Problem Solver Activities
-See Problem Solving Template
in Appendix
4.OA.2
Multiply or divide to solve word problems
involving multiplicative comparison, e.g.,
by using drawings and equations with a
symbol for the unknown number to
represent the problem, distinguishing
multiplicative comparison from additive
comparison. (Limit whole numbers less
than or equal to 1,000,000)
-Problem Solver 4: Activities for Learning Problem-Solving Strategies
-Five Easy Steps to a Balanced Math Program for Upper Elementary
Grades pp. 29-69, 153-154
-enVision MATH chapter test
-Problem Solver Activities
-See Problem Solving Template
in Appendix
-Observing Patterns
-Working Backwards
-Process of Elimination
-Solve a Simpler Problem
-Multi-Step Problem
-enVision MATH Topic 1-6, 1-8, 1-9, 1-10
Math
Correlating CC/Learning Targets
4.2.4 b, c
4.2.5 (4.NBT.5)
4.2.6 (4.NBT.6)
4.2.7
4.3.5 (4.OA.5)
4.3.6 b, c
4.3.7 (4.OA.2)
G4 - Bundle 4
Teacher Notes
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 71-96
-Math Maven's Mysteries (activities on various skills)
-Variety of Math Games
-Internet 4 Classrooms
-Kid Zone
-IDOE Resources
-Study Zone
-Scholastic Study Jams – tutorials, guided practice, independent practice
-Place Value
-Number lines
-Order Whole Numbers
-Expanded Notation
-Rounding Decimals
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