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.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”

6.RP Ratios and Proportional Relationships

6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.