Download 5th Math Unit 5 Add Subtract Fractions (June 2015)

Unit Design – Updated June 2015
Content Area
Grade/Course
Unit Title
Duration of Unit
Warren County Public Schools
Mathematics
5th
Unit 5: Adding and Subtracting Fractions
5-7 Weeks
5.NF.A.1- Add and subtract 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.
5.NF.A.2- Solve word problems involving addition and subtraction of fractions referring to the same whole,
including cases of unlike denominators, e.g., by using visual fractions models or equations to represent the problem.
Use benchmarks fractions and number sense of fractions to estimate mentally and assess the reasonableness of
answers.
5.NF.B.3- Interpret a fraction as division of 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.
5.NBT.A.1- Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in
the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.B.5- Fluently multiply multi-digit whole numbers using the standard algorithm.
Concepts (nouns)
Skills (verbs)
Unlike Denominators and Mixed Numbers
Add and
Subtract
Produce
Solve
Use
Interpret
Solve
Equivalent Sums or Differences
Word problems involving addition and subtraction of fractions
Benchmark fractions to estimate mentally
A fraction as division
Word Problems involving division of whole numbers to form
fractions or whole numbers
Visual fraction models to represent a problem
Using
Bloom’s Level
(verb)
3
3
3
3
3
3
3
LT1. I can find the least common denominator of two or more fractions in order to add or subtract.
LT2. I can simplify a fraction to its lowest term.
LT3. I can add and subtract fractions with unlike denominators using equivalent fractions. (3)
LT4. I can solve addition and subtraction word problems involving fractions using model and/or equations. (3)
LT5. I can explain a fraction can be represented as a division of the numerator by the denominator. (3)
LT6. I can use estimate strategies, benchmark fractions, and number sense to check if any answer is reasonable. (3)
Determine Big Ideas (lifelong understandings)
Write Essential Questions (Answer Big Idea, hook student
interest.
Need skill to easily solve problems relating to time
How are equivalent fractions helpful when solving
management, measuring distances and quantities, and
problems?
managing other aspects of life such as money.
Using equivalent fractions to add and subtract fractions
How can fractions with different denominators be added
with unlike denominators.
together?
What strategies can we use for adding and subtracting
fractions with different denominators?
Formative Assessments
http://teresaemmert.weebly.com/uploads/1/3/0/5/13053448/pizza_with_friends.pdf
http://teresaemmert.weebly.com/uploads/1/3/0/5/13053448/nycdoeg5mathstuffedwithpizza_final.pdf
Suggested Websites
Unit Design
Warren County Public Schools
Illustrative Mathematics
EngageNy
Suggested Formative Assessments
1.
2.
3.
4.
5.
6.
7.
1 5/12
8.
11 1/9
9.
10.
11.
Solve 3/8 + 1/2
Henry ate 5/8 of a medium pizza. Elizabeth ate 1/4 of the pizza. How much pizza did they eat
all together.
Solve 5/12 - 1/3
Use benchmarks to estimate the following fractions 1/6, 7/8, 4/10
Find the least common denominator of the following fractions 1/4 and 3/8
Write and equivalent fraction for each fraction 1/4, 3/5
Find the sum or difference. Write your answer in simplest form.
+ 4 1/6
Find the sum or difference. Write your answer in simplest form.
- 3 2/3
Write a rule for the sequence. 1/4 1/2 3/4 rule =
From a board 8 feet in length, Amy cut two 2 1/3 foot bookshelves. How much of the board
remained?
(2/7 + 1/3) + 2/3
Unit Design
Warren County Public Schools