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We will represent 1 fractions on a number line.

Unit Fraction. numerator. 1. 4. 0. 1. 0. 1. 1. 1. 3. 4. 1. 1. 3. 4. Learning Objective. denominator. We will represent 1 fractions on a number line. What are we going to learn? What does represent mean? Represent means __________. CFU. Activate Prior Knowledge.

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We will represent 1 fractions on a number line.

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  1. Unit Fraction numerator 1 4 0 1 0 1 1 1 3 4 1 1 3 4 Learning Objective denominator We will represent1 fractions on a number line. What are we going to learn? What does represent mean? Represent means __________. CFU Activate Prior Knowledge • A unit fraction represents one part of a whole. • The numeratorof a unit fraction is always 1. • The denominatorrepresents the number of total • equal parts. Represent the unit fraction on the number line. 1. 2. Students, you already know how to represent unit fractions on a number line. Now, we will use unit fractions to represent fractions on a number line. Make Connection 1 show (synonym) Vocabulary

  2. Concept Development 3 4 3 4 0 1 1 3 2 4 4 4 0 1 0 1 0 1 • A fractionis a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts. Fraction numerator denominator CFU Which number line below can be used to represent ? How do you know? Why is the other choice not correct? A B is represented on the number line below. Fill in the blanks with one of the choices. The numerator represents ____. The denominator represents ___. A the number of total equal parts B the number of equal parts from 0 Fraction on a Number Line on a number line NOT divided into equal parts 0 1 one fourth two fourths three fourths 2 4 6 3 B A

  3. Skill Development/Guided Practice 3 4 3 2 4 4 2 3 4 4 Fraction • A fraction is a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts numerator denominator How did I/you determine which number line to use? How did I/you determine the number of equal parts from 0? CFU 1b Represent fractions on a number line. 2 Read the problem. Determine2 the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 Counting Fractions 2 a b 2 3 0 1 0 1 0 1 0 1 2 figure out Vocabulary

  4. Skill Development/Guided Practice (continued) 3 4 4 2 5 3 2 4 3 5 Fraction • A fraction is a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts numerator denominator How did I/you determine which number line to use? How did I/you determine the number of equal parts from 0? CFU 1b Represent fractions on a number line. 2 Read the problem. Determine the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 2 a b 2 3 0 1 0 1 0 1 0 1

  5. Skill Development/Guided Practice (continued) 3 4 5 5 6 8 5 5 6 8 Fraction • A fraction is a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts numerator denominator How did I/you determine which number line to use? How did I/you determine the number of equal parts from 0? CFU 1b Represent fractions on a number line. 2 Read the problem. Determine the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 2 a b 2 3 0 1 0 1 0 0 1 1

  6. Skill Development/Guided Practice (continued) 3 4 2 2 1 1 2 1 3 2 3 4 4 5 1 2 1 2 1 2 4 4 3 3 5 2 Fraction numerator denominator How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 1 2 3 4 5 0 0 1 1

  7. Relevance 2 3 • A fractionisa number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts Representing fractions on a number line will help you measure objects with a ruler. 1 Her key is inch long. Raven is buying a key holder for her key. She needs to measure the key to buy a key holder that would fit her key. 0 1 2 3 inches Representing fractions on a number line will help you do well on tests. 2 Sample Test Question: 15. What fraction is best represented by point P on the number line below? A B C D Does anyone else have another reason why it is relevant to represent fractions on a number line? (Pair-Share) Why is it relevant to represent fractions on a number line? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU

  8. 3 2 4 4 2 3 3 4 3 2 3 4 • A fractionisa number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts Fraction numerator denominator Skill Closure Represent fractions on a number line. Read the problem. Determine the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 2 a b Word Bank 2 represent fractions number line numerator denominator 3 0 1 0 1 Access Common Core 0 1 0 1 0 1 Explain why is not correctly represented on the number line to the left. Summary Closure What did you learn today about representing fractions on a number line? (Pair-Share) Use words from the word bank.

  9. Independent Practice 3 4 3 2 5 4 2 3 4 5 • A fraction is a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts Fraction numerator denominator Represent fractions on a number line. Read the problem. Determine the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 2 a b 2 3 0 1 0 1 0 1 0 1

  10. Independent Practice (continued) 3 4 3 3 8 6 3 3 6 8 • A fraction is a number that represents part of a whole. • On a number line, fractions can be represented when one whole is divided into equal parts. • The numeratorrepresents the number of equal parts from 0. • The denominatorrepresents the number of total equal parts Fraction numerator denominator Represent fractions on a number line. Read the problem. Determine the number of equal parts using the denominator. (circle) Determine which number line to use. Determine the number of equal parts from 0 using the numerator. (draw a point) Represent the fraction on the number line. (label) 1 2 a b 2 3 0 1 0 1 0 0 1 1

  11. Independent Practice (continued) 3 4 3 3 2 3 2 2 6 3 5 4 8 8 2 3 2 3 2 3 4 6 8 5 8 3 Fraction numerator denominator How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 1 2 3 4 5 0 0 1 1

  12. Periodic Review 1 2 2 2 5 5 3 6 4 2 5 4 6 2. Represent on a number line below. 1. Represent on a number line below. 0 1 Access Common Core 0 1 Identify the fraction on the number line. 0 1 0 1 1. 2. 0 1 0 1 ___ is represented on the number line. ___ is represented on the number line.

  13. Periodic Review 2 4 2 3 6 8 4 5 4 3 4 2 8 5 4 6 8 4 5 5 8 2. Represent on a number line below. 1. Represent on a number line below. • a. Divide one whole into 4 equal parts. • b. Represent on the number line. 0 0 0 1 1 1 2. a. Divide one whole into 6 equal parts. b. Represent on the number line. Access Common Core 3. a. Divide one whole into 8 equal parts. b. Represent on the number line. 0 1 0 1 0 1 0 1 Bonus Question What do you notice about the fractions on the number lines above? Explain. They are all equal.

  14. Periodic Review 3 4 5 3 5 5 6 3 5 6 5 2. Represent on a number line below. 1. Represent on a number line below. 0 1 Access Common Core Mari and Jerry are representing on a number line. Their explanation of their answers is also shown. 0 1 • Determine whose work is correct. 0 1 2. For the incorrect answer, explain what that person’s mistakes were. 0 1 Mari’s Work Jerry is correct. Mari divided the whole into 4 parts which is incorrect. 0 1 Jerry’s Work 0 1

  15. Exploring Unit Fractions with Technology If links are broken, please notify us at: feedback@dataworks-ed.com

  16. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies

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  18. 1 2 Counting Fractions on a Number Line Counting by “half” Back to Skill Dev zero one one -half 1 0 half thirds fourths fifths sixths eighths

  19. 1 2 3 3 Counting Fractions on a Number Line Counting by “thirds” Back to Skill Dev zero one one -third two -thirds 1 0 half thirds fourths fifths sixths eighths

  20. 3 1 2 4 4 4 Counting Fractions on a Number Line Counting by “fourths” Back to Skill Dev zero one one -fourth two -fourths three -fourths 1 0 half thirds fourths fifths sixths eighths

  21. 1 2 3 4 5 5 5 5 Counting Fractions on a Number Line Counting by “fifths” Back to Skill Dev zero one -fifth two -fifths three -fifths four -fifths one 1 0 half thirds fourths fifths sixths eighths

  22. 1 5 4 2 3 6 6 6 6 6 Counting Fractions on a Number Line Counting by “sixths” Back to Skill Dev zero one -sixth two -sixths three -sixths four -sixths one five -sixths 1 0 half thirds fourths fifths sixths eighths

  23. 4 7 1 5 6 2 3 8 8 8 8 8 8 8 Counting Fractions on a Number Line Counting by “eighths” Back to Skill Dev zero one one - eighth two - eighths three - eighths four - eighths five - eighths six - eighths seven - eighths 1 0 half thirds fourths fifths sixths eighths

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