Essential Questions

1. What are fractions?

2. How do you add, subtract, multiply and divide fractions?

3. How are fractions relevant to my life?

4. How do fractions relate to integers?

Content

• Whole numbers

• Fractions:

  • proper

  • improper

  • mixed number

  • numerator

  • denominator

• Arithmetic

• Number line

• Greatest Common Factor (Factoring)

• Least Common Denominator (Multiples)

• Reciprocal

Generalizations

• Fractions are part of a whole.

• Proper fractions are between 0 and 1 on a number line.

• Improper fractions and mixed numbers are greater than 1 on a number line.

• Fractions are used in my life.

• I can multiply, divide, add and subtract fractions.

Rationale

Fractions are an important unit. Developing an understanding of and fluency with multiplication and division of fractions and decimals is a state standard. It is also important for students to learn fractions because fractions are a prerequisite for many other subjects, such as physics and algebra. Finally, fractions are practical and applicable to everyday life. People use fractions to measure and describe the world we live in.

Pre-Requisites

• Students must be able to fluently add, subtract, multiply & divide positive integers.

• Students should be familiar with factoring.

• Students should be familiar with a number line.

Common Core Goals

6.1 Number and Operations: Develop an understanding of and fluency with multiplication and division of fractions and decimals.

State Standards

• 6.1.2 Use and analyze a variety of strategies, including models, for solving problems with multiplication and division of fractions.

• 6.1.4 Develop fluency with efficient procedures for multiplying and dividing fractions and decimals and justify why the procedures work.

• 6.1.5 Apply the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions and justify why they work.

Goals

• SW understand the relationship between fractions and other positive rational numbers.

• SW attain strategies for solving basic arithmetic problems involving fractions.

Objectives: Using Bloom's Taxonomy and Domains*

• SWBAT accurately define the following: numerator, denominator, fraction, proper fraction, improper fraction, mixed number, whole number, greatest common factor, reciprocal (remember, C)

• SWBAT locate 4 proper fractions (with the same numerator) on a number line (apply, CP)

• SWBAT turn mixed numbers to improper fractions, and vice-versa (apply, CP)

• SWBAT multiply, divide, add & subtract proper fractions, improper fractions and mixed numbers with like and unlike denominators (apply, CP)

• SWBAT reduce proper fractions, improper fractions and mixed numbers to their simplest form (apply, CP)

• SWBAT find relevance in fractions by identifying 2+ ways they use fractions in their everyday lives. (evaluate, A)

• SWBAT create a graphic organizer (in the form of a 12 page Burrito Book) that contains strategies that will help them solve arithmetic problems that involve fractions (create, CP)

*Domains: cognitive, affective, psychomotor