Unit 1: Number Sense Minds On

Unit 1: Number Sense Learning Goals: I can convert between mixed and improper fractions I can perform all four operations with fractions I can reduce fractions to lowest terms Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Natural 1, 2, 3 Whole 0 Integers -1, -2 Rational

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Types of Fractions: 1. Proper: When the numerator (top number) is less than the denominator (bottom number) 2. Improper: When the numerator (top number) is greater than the denominator (bottom number) 3. Mixed: When a whole number is combined with a fraction

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Lowest terms: A fraction is in lowest terms when there are no common factors between the numerator and the denominator.

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Equivalent Fractions: two fractions that are the same. Success Criteria for making equivalent fractions: Multiply or divide What you do to the top you must do to the bottom

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Success Criteria for converting Mixed Fractions to Improper Fractions: Multiply the whole number by the denominator and add the numerator. This gives you the numerator for your improper fraction Keep the denominator the same Negative signs out front of the fraction are not involved in the calculation

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Success Criteria for converting Improper Fractions to Mixed Fractions: Count how many times the denominator will go into the numerator. This gives you your whole number to put in front of the fraction Take the remainder and use it as your numerator Your denominator stays the same Leave negative signs out front

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Success Criteria for Adding and Subtracting Fractions: Convert mixed fractions into improper fractions first Find a common denominator Add the numerators Keep the denominator the same

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Success Criteria for Multiplying Fractions Convert mixed fractions into improper fractions first You DO NOT need a common denominator Whole numbers have an imaginary denominator of 1 Multiply the numerators Multiply the denominators

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Success Criteria for Dividing Fractions Convert mixed fractions into improper fractions first You DO NOT need a common denominator Change the division sign to a multiplication sign Flip the second fraction Multiply the numerators Multiply the denominators

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers

Unit 1: Number Sense Lesson 1 – Introduction to Rational Numbers Practice  Pg. 186 Q# 6  Read top of pg. 14  Pg. 14 Q# 1 bcefhi, 2-7 parts bcef for all, 8ab