Standard #: MA.6.A.3.6 (Archived Standard)


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



Construct and analyze tables, graphs, and equations to describe linear functions and other simple relations using both common language and algebraic notation.


Remarks


Example 1: Each unicycle made needs 1 wheel. Explain why w=u where w is the number of wheels and u is the number of unicycles describes this relationship.

Example 2: Each bicycle made needs 2 wheels. Explain why w=2b where w is the number of wheels and b is the number of bicycles describes this relationship.

Example 3: Each tricycle made needs 3 wheels. Explain why w=3t where w is the number of wheels and t is the number of tricycles describes this relationship.

Example 4: Below is a graph of the relationships in Examples 2 and 3. Explain why one of the lines is steeper than the other line.

what would the graph of w=u look like?

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Big Idea: BIG IDEA 3 - Write, interpret, and use mathematical expressions and equations.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - 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)
    N/A

    Clarification :
    Students will identify a table, graph, or equation that represents a linear function or other simple relationship.

    Students will analyze a table or graph to identify or describe the rate of change.

    Students will identify different representations of the same relationship, including translating among graphs, equations, tables, and words.
    Content Limits :
    Items may include tables, graphs, equations, or real-world situations.

    Simple relationships may include discrete data that lends itself to a linear relationship.

    Graphs should be limited to the first quadrant, and indicated points on the graphs must have whole-number coordinates.

    Items will not include the use of the slope formula.
    Stimulus Attributes :
    Items should be set in a real-world or mathematical context.


Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1 A cellular phone company charges a fixed monthly fee, plus $0.25 for each minute the phone is in use. The table shows that T, the total charge for one month, depends on m, the number of minutes the phone is in use.

Table

Which equation correctly shows the relationship between T and m?

 N/A MC: Multiple Choice


Related Resources

Educational Software / Tool

Name Description
Free Graph Paper A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart.

Lesson Plans

Name Description
Average Speed and Graphing

Students learn how to calculate average speed and how to construct and interpret a distance vs time graph.

Shake it up around the world

ResourceID: 39599

This lesson will allow students to investigate the location of earthquakes and volcanoes throughout the world and determine how they relate to the tectonic plates.

Problem-Solving Task

Name Description
Drip, Drop, Drip, Drop Students design an experiment to model a leaky faucet and determine the amount of water wasted due to the leak. Using the data they gather in a table, students graph and write an equation for a line of best fit. Students then use their derived equation to make predictions about the amount of water that would be wasted from one leak over a long period of time or the amount wasted by several leaks during a specific time period.

Teaching Idea

Name Description
Weather or Not? (NCTM) - Featured for Math and Science Day These activities give students opportunities to investigate weather conditions that involve reading and recording temperatures, graphing, making charts, solving word problems, and working with numbers.

Used with permission from Teaching Children Mathematics, copyright April 2008 by the National Council of Teachers of Mathematics. All rights reserved.

Virtual Manipulative

Name Description
Graphing Equations Using Intercepts

This resource provides linear functions in standard form and asks the user to graph it using intercepts on an interactive graph below the problem. Immediate feedback is provided, and for incorrect responses, each step of the solution is thoroughly modeled.

Student Resources

Virtual Manipulative

Name Description
Graphing Equations Using Intercepts:

This resource provides linear functions in standard form and asks the user to graph it using intercepts on an interactive graph below the problem. Immediate feedback is provided, and for incorrect responses, each step of the solution is thoroughly modeled.



Printed On:4/25/2025 11:57:47 AM
Print Page | Close this window