1. Common Core State Standards
2. Math
3. Content
4. Grade 6

The Number System

Outcomes

• Apply And Extend Previous Understandings Of Multiplication And Division To Divide Fractions By Fractions.
  • 6.NS.1
    Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) / (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) / (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) / (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
    Play Activities 20
    Examples
• Compute Fluently With Multi-Digit Numbers And Find Common Factors And Multiples.
  • 6.NS.2
    Fluently divide multi-digit numbers using the standard algorithm.
    Play Activities 46
    Examples
  • 6.NS.3
    Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
    Play Activities 202
    Examples
  • 6.NS.4
    Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
    Play Activities 38
    Examples
• Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
  • 6.NS.6.c
    Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
    Play Activities 43
    Examples
  • 6.NS.7
    Understand ordering and absolute value of rational numbers.
    Play Activities 13
    Examples
  • 6.NS.8
    Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
    Play Activities 7
    Examples