Algebra II Module 3: Quadratics

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Lessons
Lesson Summary
For virtual manipulatives for Algebra II, please see: http://nlvm.usu.edu/en/nav/grade_g_4.html

Writing about Factoring

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In this lesson, students sort polynomial expressions into categories based on the type of factoring they require. Then they work together in groups to create a factoring chapter or book explaining how to factor each type of polynomial.

Factoring Puzzle In this lesson, students match the factored form to the standard form of a quadratic function by putting the equations next to each other. The result is a 4 x 4 ‘puzzle’. The first puzzle is more simplified as it only contains equations with a leading co-efficient of 1.

Factors and Solutions

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In this lesson, students explore the relationships between the factors of a quadratic equation , the x-intercepts of the graph of the equation, and the solutions to the equation using graphing calculators.
Completing the Square In this lesson, students use algebra tiles to complete the square. They generalize the pattern for completing the square algebraically and practice for fluency.
Graphs and Solutions Students graph, factor and complete the square to find solutions to quadratic functions and make connections between graphing, factoring and completing the square.
Staircase Towers Students examine patterns of towers and compare a linear patter to a quadratic pattern.
Quadratic Reasoning

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This lesson is an introduction to quadratics. It gives students an opportunity to explore quadratic patterns numerically and graphically, as they choose.

Graphing Quadratic Functions

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In this lesson, students explore the transformations of the graph y = x2 using graphing calculator and simply plotting points. Identifying the vertex and line of symmetry is emphasized throughout the lesson. Students have an opportunity to graph a quadratic function, given the equation, and also to write the equation of a quadratic function, given the graph of the function.

Quadratic Applications

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In this lesson students explore various situations that can be modeled with quadratic functions including the bounce of a ball and projectiles. Students use the CBR (Calculator Based Lab) and a graphing calculator to collect data from a bouncing ball, graph the data, and model the curve with an equation.
Quadratic Applications II    This lesson encourages students to use their calc menu on a graphing calculator to answer various falling body questions
Quadratic Word-Webbing Activity