Add and Subtract Fractions with Unlike Denominators

MATHEMATICS-10

ESSENTIAL UNIT 6 (E06)

(Add and Subtract Fractions with Unlike Denominators)

(July 2013)

Unit Statement:In this unit, the student will demonstrate the ability to estimate the sums and differences of fractions and mixed numbers, as well as rewrite fractions and mixed numbers so that they have common denominators. In addition, the student will demonstrate the ability to perform subtraction of fractions and mixed numbers by renaming when needed. In order to be successful in this unit, the student is expected to be familiar with the Key Terms and Concepts listed below.

Essential Outcomes:(must be assessed for mastery)

Problem solving and higher order thinking components are essential for‘A’ level mastery. Each TSW can contain problem solving and higher order thinking components (as found in suggested text).

TheStudentWill apply unit skills and concepts to real world application problems.

TSWmake reasonable estimates of fraction sums and differences. (6.3 pp. 251-254)

TSWfind a common denominator or a least common denominator to write equivalent fractions. (6.4 pp. 255-258)

TSW use equivalent fractions to add and subtract fractions. (6.5 pp. 259-262)

TSW add and subtract mixed numbers with unlike denominators. (6.6 pp. 265-268)

TSWrename to find the difference of two mixed numbers. (6.7 pp. 269-272)

TSWidentify, describe, and create numeric patterns with fractions. (6.8 pp. 273-276)

TSWadd fractions and mixed numbers with unlike denominators using the properties of addition. (6.10 pp. 281-284)

Introduced and Practiced Outcomes:(taught not assessed)

The Student Will use models to add fractions with unlike denominators. (6.1 pp. 243-246)

TSW use models to subtract fractions with unlike denominators. (6.2 pp. 247-250)

TSW solve problems using the strategy work backward. (6.9 pp. 277-280)

Key Terms and Concepts:

QSI MATHEMATICS-10 E06

Sum

Difference

Benchmark

common denominator

common multiples

equivalent fractions

simplest form

mixed number

QSI MATHEMATICS-10 E06

Suggested Assessment Tools and Strategies:

Attached rubric or teacher generated rubric that assesses ALL essential outcomes (TSW’s)
GM! 5 – Assessment Guide(pages AG107-AG120)
GM! 5 – Reteach Book(pages R50-R59)
GM! 5 – Enrich Book(pages E50-E59)
Project: The Rhythm Track – Teacher Edition(page 240), Online Projects (pages B3-B4)

Suggested Resources:

GM! 5 – Teacher Edition - Chapter 6: Add and Subtract Fractions with Unlike Denominators

GM! 5 – Student Edition(pages 239-288)

GM! 5 – Standards Practice Book(pages P119-P142)

GM! 5 – Grab-and-Go Differentiated Centers Kit

GM! 5 – Response to Intervention

GM! 5 – MathBoards

Go Math! 5 Digital Path resources:

GM! 5 – Professional Development Video Podcasts

GM! 5 – eStudent Edition

GM! 5 – eTeacher Edition

GM! 5 – iTools

GM! 5 – Animated Math Models

GM! 5 – HMH Mega Math

GM! 5 – Carmen Sandiego Math Detective Activities

GM! 5 – Real World Video, Ch. 6

GM! 5 – Online Assessment System

Additional Resources:

These materials will not be provided automatically, but schools are encouraged to purchase them to support the course:

Base-ten blocks

Fraction Strips (eTeacher Resources)

Counting tape

A Collection of Math, Grades 6-8by Marilyn Burns

Lessons for Multiplying and Dividing Fractions: Grades 5-6by Marilyn Burns

A Collection of Math Lessons: from Grades 3-6by Marilyn Burns

Teaching Arithmetic: Lessons for Introducing Fractions, Grades 4-5by Marilyn Burns

Lessons for Extending Fractions, Grade 5by Marilyn Burns

Technology Links:

See Suggested Resources for Digital Path resources that are included with Go Math! 5

Destiny WebPath Express (school library site)

QSI MATHEMATICS-10 E06

SUGGESTED RUBRIC Mathematics-10 E06

Student Name: ______Date: ______

(Add and Subtract Fractions with Unlike Denominators):

To receive a ‘B’, the student must show ‘B’ level mastery on ALL Essential Outcomes (TSW’s).
To receive an ‘A’, the student must show ‘A’ level mastery in all available ‘A’ level TSW’s and ‘B’ level mastery on all of the remaining TSW’s

TSW / ‘A’ LEVEL / ‘B’ LEVEL / Notes
1- apply unit skills and concepts to real world application problems. / The student is consistently able to apply skills from the unit in real world application problems. Student is able to justify answers and explain thinking with a high level of clarity and complexity. / The student is consistently able to apply skills from the unit in real world application problems.
2-make reasonable estimates of fraction sums and differences. / The student is able to make reasonable estimates of fraction sums and differences. / 6.3
3-find a common denominator or a least common denominator to write equivalent fractions. / The student is able tofind a common denominator or a least common denominator to write equivalent fractions. / 6.4
4-use equivalent fractions to add and subtract fractions. / The student is able to use equivalent fractions to add and subtract fractions with unlike denominators. / 6.5
5-add and subtract mixed numbers with unlike denominators. / The student is able toadd and subtract mixed numbers with unlike denominators. / 6.6
6-rename to find the difference of two mixed numbers. / The student is able torename to find the difference of two mixed numbers. / 6.7
7-identify, describe, and create numeric patterns with fractions. / The student is able to identify, describe, and create a numeric pattern with fractions, then apply that pattern to a new starting term. The student provides clear explanations of their mathematical thinking in explaining procedures and strategies. / The student is able toidentify, describe, and create numeric patterns with fractions. / 6.8
8-add fractions and mixed numbers with unlike denominators using the properties of addition. / The student is able toadd fractions and mixed numbers with unlike denominators using the properties of addition. / 6.10

QSI MATHEMATICS-10 E06