Standard #: MA.912.A.7.1 (Archived Standard)


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Graph quadratic equations with and without graphing technology.


Remarks


Example 1: Draw the graph of using a graphing calculator or a spreadsheet (generate a data set), display the graph to check your work.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Standard: Quadratic Equations - 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.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , FR item(s)
    Also Assesses:

    MA.912.A.7.8 Use quadratic equations to solve realworld problems.

    Clarification :
    Students will perform set operations such as union and intersection, complement, and cross product.
    Content Limits :

    Items may include set notation and symbols from set theory.

    Finite sets should contain no more than a total of 15 unordered elements and no more than 30 ordered elements.

    If an item follows a numerical pattern, data may be represented by infinite sets. Example: Natural numbers {1, 2, 3, 4 . . .}

    Notation for the complement of set A will be limited to A' and ~A.

    Stimulus Attributes :

    Items may be set in either real-world or mathematical contexts.

    Graphics should be used for most of these items, as appropriate.

    Sets should list all elements in the stem (e.g., do not use natural numbers between 2 and 5.).



Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1

The set T represents several Taurine breeds of cattle.
     T = {Angus, Devon, Shorthorn, Texas Longhorn}
The set Z represents several Zebu breeds of cattle.
     Z = {Boran, Nelore, Ponwar}
What is the total number of elements in the set T × Z ?

 N/A MC: Multiple Choice


Related Resources

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.

Worksheet

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.

Printed On:5/2/2024 10:50:53 AM
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