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 1

Below are a comprehensive set of lesson plans and worksheets for Algebra 1 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 Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.A.1
  • Description: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
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functions image

  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.A.2
  • Description: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
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functions image

  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.A.3
  • Description: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
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lesson algebra sequence image

  • Concept:

    Interpreting 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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math group research project image

  • Concept:

    Interpreting 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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algebra function image

  • Concept:

    Interpreting 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 Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.7.A
  • Description: Graph linear and quadratic functions and show intercepts, maxima, and minima.
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algebra functions image

  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.7.B
  • Description: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
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  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.7.E
  • Description: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
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  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.8.A
  • Description: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
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  • Concept:

    Interpreting Functions
  • Common Core Standard:CCSS.Math.Content.HSF.IF.C.8.B
  • Description: Use the properties of exponents to interpret expressions for exponential functions.
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  • Concept:

    Interpreting 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:

    Building Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.A.1.A
  • Description: Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context.
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  • Concept:

    Building Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.A.1.B
  • Description: Write a function that describes a relationship between two quantities. Combine standard function types using arithmetic operations.
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  • Concept:

    Building Functions
  • Common Core Standard:CCSS.Math.Content.HSF.BF.A.2
  • Description: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
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algebra sequence function image

  • Concept:

    Building 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:

    Building 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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