Grade 5: Chapter 6 –Add and Subtract Fractions with Unlike Denominators

Chapter Essential Question:How can you add and subtract fractions with unlike denominators?

Before
(Grade 4) / Chapter Six Standards
Grade 5 / After
(Grade 6)
Number and Operations – Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
CC.4.NF.3c
CC.4.NF.3d / Number and Operations Fractions 2: Solve world 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.
  • I can use models to add fractions with unlike denominators.
  • I can use models to subtract fractions with unlike denominators.
  • I can make reasonable estimates of fraction sums and differences.
  • I can solve problems using the strategy work backward.
/ The Number System
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Number and Operations Fraction 1: Add and subtract fractions with unlike denominators (including mixed numbers) by replaing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
  • I can find a common denominator or at least common denominator to write equivalent fractions.
  • I can use equivalent fractions to add and subtract fractions.
  • I can add and subtract mixed numbers with unlike denominators.
  • I can rename to find the difference of two mixed numbers.
  • I can identify, describe, and create numeric patterns with fractions.
  • I can add fractions and mixed numbers with unlike denominators using the properties.

Each day the math block will begin with 15 minutes of Daily Math Review and Mental Math. The focus of DMR should be either prerequisite standard skills or previous chapter concepts that were not mastered. The focus of mental math should be based on the current Chapter’s skills and concepts. Adjust the amount of questions in DMR and MM to fit into the 15 minute time block.

Suggested Chapter Pacing

All lessons are paced for one day, unless otherwise indicated. Teachers may adjust to meet students’ needs.

Launching the Chapter / Pre-Assessment / Review Prerequisite Skills
Draw It!: TE 249I / Show What You Know Assessment
Identify Tier 2 and Tier 3 Groups for Small Group Instruction.
Day before beginning Lesson 6.1 / Vocabulary Activity
Develop understanding of the word common. TE 249 H / Vocabulary Builder
Identify students who will need further vocabulary support for Chapter 6. / Preview Chapter Centers
Introduce chapter games, activities, and literature students will be using during center time. / School – Home Letter
Read together and send home.
I Can Statement / Essential Question / Implementation Notes
Lesson 6.1
Numbers and Operations Fractions 2 / I can use models to add fractions with unlike denominators. / How can you use models to add fractions that have different denominators? /
  • All new center activities will need to be introduced today.
  • Possible 2 day lesson
  • Fraction Bars

Lesson 6.2
Numbers and Operations Fractions 2 / I can use models to subtract fractions with unlike denominators. / How can you use models to subtract fractions that have different denominators? /
  • Fraction Bars
  • One new center activity will need to be introduced today.

Lesson 6.3
Number and Operations Fractions 2 / I can make reasonable estimates of fraction sums and differences. / How can you make reasonable estimates of fraction sums and differences?
Lesson 6.4
Numbers and Operations Fractions 1 / I can find a common denominator or a least common denominator to write equivalent fractions. / How can you rewrite a pair of fractions so that they have a common denominator?
Lesson 6.5
Numbers and Operations Fractions 1 / I can use equivalent fractions to add and subtract fractions. / How can you use the common denominator to add and subtract fractions with unlike denominators? /
  • Mid-Chapter Checkpoint not required.

Lesson 6.6
Numbers and Operations Fractions 1 / I can add and subtract mixed numbers with unlike denominators. / How can you add and subtract mixed numbers with unlike denominators? /
  • All new center activities will need to be introduced today.

Lesson 6.7
Numbers and Operations Fractions 1 / I can rename to find the difference of two mixed numbers. / How can you use renaming to find the difference of two mixed numbers? /
  • Possible 2 day lesson
  • One new center activity will need to be introduced today.

Lesson 6.8
Numbers and Operations Fractions 1 / I can identify, describe, and create numeric patterns with fractions. / How can you use addition or subtraction to describe a pattern of create a sequence with fractions? /
  • One new center activity will need to be introduced today.

Lesson 6.9
Numbers and Operations Fractions 2 / I can solve problems using the strategy work backwards. / How can the strategy work backwards help you solve a problem with fractions that involves addition and subtractions?
Lesson 6.10
Numbers and Operations Fractions 1 / I can add fractions and mixed numbers with unlike denominators using the properties. / How can properties help you add fractions with unlike denominators? /
  • Possible 2 day lesson

Resources and Centers for Chapter 6
Technology / Hands-On Resources / Centers
Digital Lesson: Engage / Fraction Strips / Activity: Plan a schedule
Fastt Math / Counting Tape / Activity: Mixed Measures
Interactive White Board Lesson / Math Journal / Activity: Pattern Block Mix-Up
Interactive Student Edition / MathBoard / Literature: Fossil Hunters
iTools: Fractions
iTools: Number Chart / Other Hands-On Resources may be needed for Small Group Instruction Activities. / Literature: Table Soccer, Anyone?
Math on the Spot Videos / Literature: Fractions Add Up!
Mega Math / Game: What’s the Difference?
Personal Math Trainer / Game: Picture Problems

Des Moines Public Schools 2014-2015Math Curriculum Guides Page | 1

Grade 5 – Chapter6