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.EE.A.3

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression
6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

6.EE Expressions and Equations

6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions.