Engaging Math Lessons.

Please browse our selection of mathematics lessons sorted by subject and current common core standards for improving math achievement for every student.

Traditional Pathway: Algebra 2

Below are a comprehensive set of lesson plans and worksheets for Algebra 2 that correspond to the given Common Core concept and help students solve real-world problems. Lesson previews provide a quick glimpse at the provided materials.

  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.B.4
  • Description: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.B.5
  • Description: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.B.6
  • Description: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.7
  • Description: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.8
  • Description: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.9
  • Description: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.A.1.B
  • Description: Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.B.3
  • Description: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.B.4.A
  • Description: Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x3 or f(x) = (x+1)/(x-1) for x ≠ 1.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.LE.A.4
  • Description: For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.TF.A.1
  • Description: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.TF.A.1
  • Description: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. Graph all 6 basic trigonometric functions.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.TF.B.5
  • Description: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
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  • Concept:

    Interpreting, Building, and Modeling Functions
  • Common Core Standard:CCSS.Math.Content.HSF.TF.C.8
  • Description: Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
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