Amazing 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:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.A.1
  • Description: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.B.3
  • Description: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.B.4.A
  • Description: Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form.
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completing the square image
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.B.4.B
  • Description: Solve quadratic equations in one variable. Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.C.5
  • Description: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.C.6
  • Description: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.C.7
  • Description: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.D.10
  • Description: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.D.11
  • Description: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately (e.g. using technology to graph the functions, make tables of values) or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
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algebra reasoning lesson
  • Concept:

    Reasoning with Equations & Inequalities
  • Common Core Standard:CCSS.Math.Content.HSA.REI.D.12
  • Description: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
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algebra reasoning lesson

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