Jim Dougherty

  • IM / Open Up Grade 6
    • Grade 6: Unit 1 Area and Surface Area
    • Grade 6: Unit 2 Introducing Ratios
    • Grade 6: Unit 3 Unit Rates and Percentages
    • Grade 6: Unit 4 Dividing Fractions
    • Grade 6: Unit 5 Arithmetic in Base Ten
    • Grade 6: Unit 6 Expressions and Equations
    • Grade 6: Unit 7 Rational Numbers
    • Grade 6: Unit 8 Data Sets and Distributions
    • Grade 6: Unit 9  Putting it All Together
  • IM / Open Up Grade 7
    • Grade 7: Unit 1 Scale Drawings
    • Grade 7: Unit 2 Introducing Proportional Relationships
    • Grade 7: Unit 3 Measuring Circles
    • Grade 7: Unit 4 Proportional Relationships and Percentages
    • Grade 7: Unit 5 Rational Number Arithmetic
    • Grade 7: Unit 6 Expressions, Equations and Inequalities
    • Grade 7: Unit 7 Angles, Triangles, and Prisms
    • Grade 7: Unit 8 Probability and Sampling
    • Grade 7: Unit 9 Putting it All Together
  • IM / Open Up Grade 8
    • Grade 8: Unit 1 Rigid Transformations and Congruence
    • Grade 8: Unit 2 Dilations, Similarity, and Introducing Slope
    • Grade 8: Unit 3 Linear Relationships
    • Grade 8: Unit 4 Linear Equations and Linear Systems
    • Grade 8: Unit 5 Functions and Volume
    • Grade 8: Unit 6 Associations in Data
    • Grade 8: Unit 7 Exponents and Scientific Notation
    • Grade 8: Unit 8 – Pythagorean Theorem and Irrational Numbers
    • Grade 8: Unit 9 – Putting It All Together

6.NS.A.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?

6.NS The Number System

6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions.