Unit 1: Number Sense
Download
1 / 20

Unit 1: Number Sense - PowerPoint PPT Presentation


  • 84 Views
  • Uploaded on

Unit 1: Number Sense. Minds On. Solve for the variables: 3x + 12 = 0 12x – 9 = 15 (3 + x) 4 = 7. Unit 1: Number Sense. Lesson 1 – Introduction to Rational Numbers. Learning Goals: I can convert between mixed and improper fractions I can perform all four operations with fractions

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Unit 1: Number Sense' - ulmer


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Unit 1: Number Sense

Minds On

Solve for the variables:

3x + 12 = 0

12x – 9 = 15

(3 + x) 4 = 7


Unit 1: Number Sense

Lesson 1 – Introduction to Rational Numbers

  • 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


Unit 1: Number Sense

Lesson 1 – Introduction to Rational Numbers

Numbers are grouped together based on their characteristics:

Natural Numbers (Counting numbers): {1, 2, 3, …}

Whole Numbers (including 0): {0, 1, 2, 3,…}

Integers ( Positive or negative whole numbers):

{…-2, -1, 0, 1, 2…}

Rational Numbers: All numbers in the form where a and b are integers and b

(Ex. 0, ,


Unit 1: Number Sense

Lesson 1 – Introduction to Rational Numbers

Whole

Rational

Natural

Integers

0.5, -5.89

1, 2, 3

0

-1, -2


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.

Examples:


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

Example: Find an equivalent fraction to


Unit 1: Number Sense

Lesson 1 – Introduction to Rational Numbers

Example: A


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

Example: Convert 4


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

Example: Convert


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

Example: 2


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

Example: 3


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

Example:


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


ad