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Algebra I - Power to the Variable - Instructional Unit 2

Enhanced and Updated - March 31, 2014 - This updated instructional unit includes learning experiences, teacher and student resources, assessment ideas, and differentiation options. The storyboard document provides a roadmap of teaching activities and a possible performance assessment for the unit.

Inquiry Questions (Engaging- Debatable):

What are the parameters that affect gas mileage in a car and how would you model them? (MA10-GR.HS-S.2-GLE.2-EO.b.i)
What are the consequences of a population that grows exponentially?

Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank
Algebra I - Poynomials and Factoring - Unit 9

Essential Questions:

1.  Polynomials can be simplified using properties of addition, subtraction, and multiplication.

2.  Polynomials can be factored into a product of polynomials.

3.  A product of polynomials can be expanded.

4.  Graphs of polynomial equations can be utilized to find solutions.

Curriculum Guide, Units Math Strasburg School District
Algebra I - Properties of Exponents - Unit 7

Essential Questions:

1.  Use properties of exponents to simplify exponential expressions.

2.  Rational exponents can be simplified using properties of exponents and be rewritten in radical form.

3.  Expressions in scientific notation can be simplified using properties of exponents.

4.  Real-life situations can be represented using exponential expressions.

Curriculum Guide, Units Math Strasburg School District
Algebra I - Real Numbers and Expressions

Essential Questions:

1)  Real number expressions are simplified by correct use of order of operations.

2)  Real-world situations are represented by translating verbal terms into symbolic notation?

3)  Equations and inequalities have a solution or solutions that will make them true statements, whereas expressions can have different outcomes depending upon the substituted input.

4)  Data can be summarized graphically and by measures of central tendency and spread.

 

 

Curriculum Guide, Units Math Strasburg School District
Algebra I - Statistics Lie – Find Out How - Unit 3

Inquiry Questions (Engaging- Debatable):

Most people who die of lung cancer have an ashtray at home. Do ashtrays cause cancer?
What makes a statistic believable? What makes a statistic accurate? Is there a difference between the two?
What makes data meaningful or actionable? 3.1.IQ.1

Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank
Algebra I - Writing Linear Equations - Unit 4

Essential Questions:

  1. A linear equation can be written when given a slope and the y-intercept, a slope and a point, or two points.
  2. When given a graph of a line, an equation can be determined.
  3. Knowledge of parallel or perpendicular lines can aid in developing linear equations.

A line-of-best-fit can be utilized to determine a model for real-world situations.

Curriculum Guide, Units Math Strasburg School District
Algebra I Units - ECBOCES

Nine Algebra I units covering: Review of Real Numbers, Linear Equations & Inequalities, Functions, Linear Functions, Systems of Equations, Polynomials, Quadratic Equations & Functions, Statistics, and Exponential & Radical Functions

Download the Zip files below to access the units and resources

Curriculum Guide, Lesson Plan, Units Math East Central BOCES
Algebra II - Functions and Equations - Unit 1

Essential Questions:

1.  Equations, inequalities, and formulas are solved by using inverse operations.

2.  Functions model relationships between two or more variables.

3.  Transformations include translating and stretching/shrinking the graph horizontally or vertically.

Curriculum Guide, Units Math Strasburg School District
Algebra II - Systems of Equations - Unit 2

Essential Questions:

1.  Systems of equations can be solved by graphing, substitution, elimination, and matrices.

2.  The solution to a system of inequalities is called a feasible region.

3.  Systems of equations are used to solve real world problems in finance and business.

Curriculum Guide, Units Math Strasburg School District
Algebra II - Exponential Functions - Unit 8

Essential Questions:

1.  Exponential functions are inverses of logarithmic functions.

2.  Exponential and logarithmic equations are solved using the properties of exponents and logarithms.

3.  Graphs of exponential and logarithmic functions are used to interpret data in financial, science, and business applications.

Curriculum Guide, Units Math Strasburg School District
Algebra II - Functional Form and Design - Unit 1

Inquiry Questions (Engaging- Debatable):

Why are functions necessary to the design and building of skyscrapers? (MA10-GR.HS-S.2-GLE.1-IQ.7)

Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank
Algebra II - Independently Lucky - Unit 6

Inquiry Questions (Engaging- Debatable):

How does probability relate to obtaining car insurance? (MA10-GR.HS-S.3-GLE.3-IQ.3)
Why is it hard for humans to determine if a set of numbers was created randomly?

Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank
Algebra II - Inferences and Conclusions - Unit 9

Essential Questions:

1.  Inferences are made by use of a random sample from a population in surveys, observational studies, and experiments.

2.  Theoretical probability is used to make a prediction for a random event to occur, whereas experimental probability gives the actual result of a random event.

3.  The addition rule and the multiplication rule are used to determine probabilities of a union of events and an intersection of events, respectively

Curriculum Guide, Units Math Strasburg School District
Algebra II - Logarithmic Log Jams - Instructional Unit 2

Enhanced and Updated - November 2015 - This updated instructional unit includes learning experiences, teacher and student resources, assessment ideas, and differentiation options. The storyboard document provides a roadmap of teaching activities and a possible performance assessment for the unit.

Inquiry Questions (Engaging- Debatable):

What is the best way of paying of debt on multiple credit cards?
What financial phenomena can be modeled with exponential and linear functions? (MA10-GR.HS-S.2-GLE.2-IQ.3)

Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank
Algebra II - Planning for High School Mathematics - All Units

Seven (7) Algebra II Units in a single curriculum planning document and Curriculum at a Glance overview

Colorado's District Sample Curriculum Project By Content Area
Curriculum Guide, Units Math Colorado's Sample Instructional Units Resource Bank