MA.912.A.3.8Archived Standard

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Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form .

Remarks

Example 1: Graph the equation 3x - y = 2.
Example 2: Graph the equation y = ½ x + 2
Example 3: Graph the line that contains (3,0) and has a slope of -3/2.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
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 item(s)
    • Also Assesses:

    MA.912.A.3.12 Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.
  • Clarification :

    Students will identify graphs given:

    • a table of values;
    • the - and -intercepts;
    • two points;
    • the slope and a point; or
    • the equation of the line in slope-intercept form, standard form, or point-slope form.
  • Content Limits :
    Items may include lines that have zero slope or undefined slope.
  • Stimulus Attributes :

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

    Items may include linear equations in various forms, including standard, slope-intercept, and point-slope forms.

    Graphics should be used in all items.

    Equations should not be presented in function notation.

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    Roger went to a garage sale where hardback books sold for $5 each and paperback books sold for $2.50 each. He has $20 to spend. The equation below can be used to find how many books of each type Roger can buy, where x is the number of hardback books and y is the number of paperback books.

    5x + 2.5y = 20

    Which of the following shows the graph of this equation?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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Professional Development

Mathematical Modeling: Insights into Algebra, Teaching for Learning:

This professional development resource provides a rich collection of information to help teachers engage students more effectively in mathematical modeling. It features videos of two complete lessons with commentary, background information on effective teaching, modeling, and lesson study, full lesson plans to teach both example lessons, examples of student work from the lessons, tips for effective teaching strategies, and list of helpful resources.

  • In Lesson 1 students use mathematical models (tables and equations) to represent the relationship between the number of revolutions made by a "driver" and a "follower" (two connected gears in a system), and they will explain the significance of the radii of the gears in regard to this relationship.
  • In Lesson 2 students mathematically model the growth of populations and use exponential functions to represent that growth.

Type: Professional Development

Student Resources

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