SCUSD Common Core Mathematics Lesson Planning Guide
Unit Title: Multiplication and Division of
Approx. time:
Fractions
12 Days
Lesson: 11: Division of a whole number by
a fraction
A. Focus and Coherence
Students will know…
 Interpret whole numbers divided by unit fractions
 Interpret unit fractions divided by whole numbers
 Understand how fractions work in the real world
CCSS-M Standards:
5 NF 7a, 7b and 7c
B. Evidence of Math Practices
What will students produce when they are making sense,
persevering, attending to precision and/or modeling, in
relation to the focus of the lesson?
SMP # 1, 4. 6
Students will be able to…
 Use a variety of fraction models, e.g., tape
diagrams, number lines, and arrays to solve
 Solve real –world problems involving division of
unit fractions by non-zero whole numbers and
division of whole numbers by unit fractions.
Student prior knowledge:
 Understand how to multiply and divide
 Know how to draw and use number lines and bar
models
Which math concepts will this lesson lead to?
 Dividing fractions by fractions and fractions by
mixed numbers
Guiding Question(s) What part does the denominator play when dividing fractions?
Formative Assessments
Day 5: Formative assessment from Good Questions for Math Teaching page 55 number 2.
Day 11: Analysis of division problems
Anticipated Student Preconceptions/Misconceptions
Materials/Resources:
McGraw–Hill My Math Volume 2
Word Problems for Model Drawing Practices by C. Jones Kuhn
Good Questions for Math Teaching by Schuster and Anderson
Math and Literature by Rusty Bresser
Mathematics International Grade 5 by T. Shoseki
K-5mathteachingresources.com
C. Rigor: fluency, deep understanding, application and dual intensity
What are the learning experiences that provide for rigor? What are the learning experiences that provide for evidence of
the Math Practices? (Detailed Lesson Plan)
Warm Up (introduction to lesson) 1 day
From, Good Questions for Math Teaching.
Grade:
Last Names:
If you had seven cookies to divide up among four people, how could you do it? How many cookies or what part of a
cookie would each person get?
Students work in teams with cut out circles. How would you write this as an equation? Looking for students to respond
as 7/4. Leading to 7 divided by ¼. Teacher creates more examples of whole numbers divided by unit fractions to develop
this connection.
Lesson
Day 2
Further development of conceptual understanding by drawing visual representations of whole
numbers divided by unit fractions. Students should be explaining what they are doing.
Day 3
“Beasts of Burden” activity from Math and Literature, by Rusty Bresser pages 19-23. In this
activity 35 camels are divided 3 ways. Students use counters to help divide and explain their
thought process and solution.
Day 4
The focus is on algorithm. Students do pages 765-770 from McGraw-Hill, My Math vl 2. With
the teacher, student practice model drawing to solve word problems, Page 86-87 from Word
Problems for Model Drawing Practice.
Day 5
Formative assessment from Good Questions for Math Teaching page 55 number 2.
Day 6
Introduce dividing a unit fraction by a whole number. For example, 1/3 of a cake is divided by
a family of four. Continue with more conceptual examples using bar modeling.
Day 7
More conceptual learning with representations. Use “Divide a Unit Fraction by a Whole
Number” from k-5mathteachingresources.com
Day 8
Demonstrating the connections between multiplication and division. McGraw-Hill My Math vl
2 pages 771-775.
Day 9
Developing and understanding the algorithm from Mathematics International pages B92-B95.
Day 10
Practice algorithm (to be developed or created by individual teachers).
Day 11
Formative Assessment. Analysis of division. For example ½ divided by 5 and 5 divided by ½.
Students explore and explain.
Grade:
Last Names:
Closure
Day 12
Summative Assessment “Bake Sale” revised with problem 7 & 8 being division problems.
Suggested Homework/Independent Practice
 Students cut a recipe in half
 Problems with Equation/Representation/Explanation
 McGraw-Hill My Math
Grade:
Last Names: