Standard 7 : Quadratic Equations (Archived)



This document was generated on CPALMS - www.cpalms.org

Draw graphs of quadratic functions. Solve quadratic equations and solve these equations by factoring, completing the square, and by using the quadratic formula. Use graphing calculators to find approximate solutions of quadratic equations.

General Information

Number: MA.912.A.7
Title: Quadratic Equations
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.A.7.1: Graph quadratic equations with and without graphing technology.
MA.912.A.7.2: Solve quadratic equations over the real numbers by factoring and by using the quadratic formula.
MA.912.A.7.3: Solve quadratic equations over the real numbers by completing the square.
MA.912.A.7.4: Use the discriminant to determine the nature of the roots of a quadratic equation.
MA.912.A.7.5: Solve quadratic equations over the complex number system.
MA.912.A.7.6: Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.
MA.912.A.7.7: Solve non-linear systems of equations with and without using technology.
MA.912.A.7.8: Use quadratic equations to solve real-world problems.
MA.912.A.7.9: Solve optimization problems.
MA.912.A.7.10: Use graphing technology to find approximate solutions of quadratic equations.


Related Access Points

This cluster includes the following access points.

Independent

Access Point Number Access Point Title
MA.912.A.7.In.a: Use information from tables and other types of visual models to plot numbers on a line graph representing real-world situations.
MA.912.A.7.In.b: Compare quantities from real-world situations represented on a graph and explain similarities and differences.
MA.912.A.7.In.c: Use equations involving addition, subtraction, multiplication, and division of whole numbers to solve real-world problems.

Supported

Access Point Number Access Point Title
MA.912.A.7.Su.a: Identify information from tables and simple line graphs representing real-world situations.
MA.912.A.7.Su.b: Compare quantities from similar real-world situations represented on a graph.
MA.912.A.7.Su.c: Solve number sentences (equations) using visual and physical models representing real-world situations.

Participatory

Access Point Number Access Point Title
MA.912.A.7.Pa.a: Compare the number of objects, pictures, or symbols used in a three-category pictograph to identify which groups have more or less.
MA.912.A.7.Pa.b: Solve problems by joining or separating quantities to 10 using objects, pictures, or symbols.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Educational Game

Name Description
Timed Algebra Quiz:

In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Unit/Lesson Sequence

Name Description
Quadratic Functions: Workshop 4: Lesson 1 of two lessons requires students to explore quadratic functions by examining the family of functions described by y = a (x - h)squared+ k. In Lesson 2 students explore quadratic functions by using a motion detector known as a Calculator Based Ranger (CBR) to examine the heights of the different bounces of a ball. Students will represent each bounce with a quadratic function of the form y = a (x - h)squared + k. Background information, resources, references and videos of the lessons are included. Students work in teams of four.

Video/Audio/Animation

Name Description
Quadratic Functions 2:

This video gives a more in-depth look at graphing quadratic functions than previously offered in Quadratic Functions 1.

Worksheets

Name Description
Quadratic Functions:

This worksheet gives students one place to show all transformations (reflections, vertical stretches/compressions, and translations) for the quadratic function. The worksheet also has a place for domain and range for each transformation.

Three Basic Methods for Solving Quadratic Equations:

The activity/resources reviews methods for solving quadratic equations including factoring, using the quadratic formula, and completing the square.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Educational Game

Title Description
Timed Algebra Quiz:

In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Video/Audio/Animation

Title Description
Quadratic Functions 2:

This video gives a more in-depth look at graphing quadratic functions than previously offered in Quadratic Functions 1.