Unit 1: Relationships Between Quantities

Accelerated Coordinate Algebra & Analytical Geometry A(CAAG)

Standards:

  • MCC9‐12.N.Q.1 Use units as a way to understand problems and to guide the solution of multi‐step problems;choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs anddata displays.
  • MCC9‐12.N.Q.2 Define appropriate quantities for the purpose of descriptive modeling.
  • MCC9‐12.N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reportingquantities.
  • MCC9‐12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
  • MCC9‐12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.
  • MCC9‐12.A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a singleentity.
  • MCC9‐12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
  • MCC9‐12.A.CED.2 Create equations in two or more variables to represent relationships between quantities;graph equations on coordinate axes with labels and scales.
  • MCC9‐12.A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/orinequalities, and interpret solutions as viable or non‐viable options in a modeling context.

Enduring Understandings:

  • Identify the vocabulary for the parts that make up the whole expression. Interpret their meaning in terms of a context.
  • Solve word problems where quantities are given in different units that must be converted to understand the problem.
  • Select appropriate units for a specific formula and interpret the meaning of the unit in that context.
  • Create linear equations and inequalities in one variable and use them in a contextual situation to solve problems.
  • Create equations in two or more variables to represent relationships between quantities.
  • Graph equations in two variables on a coordinate plane and label the axes and scales.

Essential Questions:

  • Unit: Why is it important to understand the relationship between quantities?
  • What are parts of an expression?
  • How can I write, interpret and manipulate algebraic expressions?
  • How do I choose & interpret units consistently in formulas?
  • How do I create equations and inequalities in one variable and use them to solve problems arising from linear and exponential functions?
  • How can I write, interpret and manipulate algebraic equations, and inequalities?
  • How do I create equations in two or more variables to represent relationships between quantities?
  • How do I graph equations on coordinate axes with the correct labels and scales?

Date / Topic / HW Assignment
Monday
August 1st /
  • Handbook
  • About Me
  • NASA experiment
/
  • none

Tuesday
August 2nd /
  • Warmup – Defining Appropriate Unit Practice #1
  • Questions from summer packet
  • Unit Conversion Notes #2
/
  • Finish NASA task if necessary
  • Dimensional Analysis Worksheet #3 (use blog to check all HW)

Wednesday
August 3rd /
  • Warmup – Equation Review
  • Question about summer packet
  • Unit Conversion – All About Me! #4s
/
  • Watch PowerPoint over vocabulary
  • Finish All About Me!

Thursday
August 4th /
  • Warmup - Accuracy and Precision #5
  • Questions about summer packet
  • Significant Figures with Measurement #6
/
  • Significant Figures Practice #7

Friday
August 5th /
  • Combine Like Terms and Solve Equations #8
  • Identify Parts of Easy and Complicated Expressions #9
/
  • none

Monday
August 8th /
  • Algebra Fluency #1
  • Review issues from summer packet
  • Identify Parts of Algebraic Expressions #11 CW
/
  • Identify Parts of Expressions HW #10

Tuesday
August 9th /
  • Questions about summer packet
  • Linear word problems, translate and solve – Lucy’s Linear Equations and Inequalities #12
/
  • Word Problem Activity #13

Wednesday
August 10th /
  • Quiz
  • Add and Subtract Polynomials #14
/
  • Finish Add and Subtract Polynomials #14

Thursday
August 11th /
  • Multiply Polynomials #15
/
  • Finish Multiplying Polynomials #15
  • Summer packet due tomorrow!

Friday
August 12th /
  • Simplifying Polynomials #16
  • Out Ticket: Poly Puzzle #17
/
  • none

Monday
August 15th /
  • Algebra Fluency #2
  • Simplifying Radicals notes
/
  • Simplifying Radicals #18

Tuesday
August 16th /
  • Multiplying Radicals notes
  • Radical Partner Sort
/
  • Multiplying Radicals #19

Wednesday
August 17th /
  • Adding and Subtracting Radicals notes
  • Summer Packet Assessment
/
  • Adding and Subtracting Radicals #20

Thursday
August 18th /
  • Radicals CW #21
/
  • CFA (practice test) #23 (Due Monday 8/22)

Friday
August 19th /
  • Quiz
  • Rational vs. Irrational Chart Sort
  • Rational vs. Irrational Notes #22
/
  • none

Monday, August 22nd /
  • Algebra Fluency #3
  • Review game
  • Go over questions from CFA
/
  • Study

Tuesday, August 23rd /
  • Test
/
  • none