West Haven Public Schools
Unit Planning Organizer
Revised July 2010
Subject: Math
Grade: 5
Unit: Unit 10 Adding and Subtracting Fractions and Mixed Numbers
Pacing: See suggested pacing schedule
Essential Question(s):
- Why can’t we add or subtract fractions with different denominators?
- How do fractions and mixed numbers relate to whole numbers?
- How can fractions that look different be equivalent?
- How does multiplying a fraction by another fraction with the same numerator and denominator affect the fractions 3/5 x 2/2= 6/10
Big Idea(s):
- We cannot add or subtract fractions with different denominators because the size of the whole matters, ½ of a grape fruit does not equal ½ of a grape.
- A fraction is part of a whole number. They are the numbers between consecutive whole numbers 0-1, 1-2, and so on.
- You can simplify a fraction to its simplest form by dividing by a form of one down to the prime numbers or multiply a fraction by a form of one to get an equivalent fraction with a greater numerator and denominator but not a greater value.
- A fraction with the same numerator and denominator is equal to 1. When you multiply a fraction by 1 you change the appearance of the fraction but not the value of the fraction.
CT State Standards (includes West Haven’s “Priority” GLES’s in BOLD and “Supporting” Standards)
- 1.3.6 Model, write, and solve one step equations by using appropriate concrete materials that model equivalence, e.g., if 4 x ? = 36, then ? = 9
- 2.2.16 Add and subtract fractions, decimals and mixed numbers using a variety of strategies, e.g. models, mental math, equivalence and substitution: ½ + ¾ can also be solved using 0.5 + 0.75.
- 2.1.6 Represent equivalent fractions, decimals, ratios and percents using models, pictures, number patterns, and common factors.
- 2.1.7 Choose and use benchmarks to approximate locations of fractions, mix numbers, and decimals on number lines and coordinate grids.
“Unwrapped” Concepts and Skills, and Bloom Levels (BL)
Concepts(Need to Know) | Skills(Able to Do) | BL |
Improper fractions Mixed numbers Fractions Equivalent fractions Fractions in simplest form Least Common Multiple | Add fractions with unlike denominators Subtract fractions with unlike denominators Add mixed numbers Subtract mixed numbers Multiply (basic facts) Simplify fractions Solve word problems Identify least common multiple of numbers Recognizing improper fractions and conversion to mixed numbers | |
Instructional Planning
Suggested Resources/Materials:
- enVision Topic 10 (Lessons 10-2, 10-3, 10-4, 10-5, 10-6, 10-7)
- 10-1 was covered in Unit 5
Suggested Research-based Effective Instructional Strategies:
Vocabulary/Word Wall | Enrichment/Extension | Interdisciplinary Connections |
Common multiple Least common multiple Least common denominator Mixed number Improper fraction | Enrichment master | |
