General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Algebra
Big Idea: BIG IDEA 1 - Analyze and represent linear functions, and solve linear equations and systems of linear 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
item(s)
N/A
Clarification :
Students will compare and translate between linear or nonlinear functions in real-world scenarios or graphical representations.
Students will compare and translate between linear or nonlinear functions in real-world scenarios or graphical representations.
Content Limits :
Items may include stimuli of a scenario with four different graphs for options or a graph with four different scenarios.
Items will ask students to interpret graphical representations but not to solve them.
Items may include stimuli of a scenario with four different graphs for options or a graph with four different scenarios.
Items will ask students to interpret graphical representations but not to solve them.
Stimulus Attributes :
Items should be set in a real-world context.
Graphics should be used in all of these items.
Items may present a linear or non-linear graph and ask the student to identify the representative real-world scenario.
Items should be set in a real-world context.
Graphics should be used in all of these items.
Items may present a linear or non-linear graph and ask the student to identify the representative real-world scenario.
Sample Test Items (1)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | In a certain city, the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year, the number of new houses built each month remained the same. Which graph best illustrates the number of houses built each month in this city? | N/A | MC: Multiple Choice |
Related Resources
Lesson Plans
| Name | Description |
| Interpreting Distance-Time Graphs | This lesson takes a formative assessment approach to assessing whether students can interpret distance-time graphs. Whole-class discussion, group work, and individual activities help students interpret distance-time graphs related to real-world scenarios. |
| Discovering Kepler's Law for the Periods of Planets | Students listen to a video that describes Kepler's determination that planetary orbits are elliptical and then will use data for the solar distance and periods of several of the planets in the solar system, then investigate several hypotheses to determine which is supported by the data. |
| Asteroids | In this lesson, students show and discuss that the planets' orbits follows a pattern, compare sizes of asteroids relative to the size of Earth and Earth's moon, make asteroid models, research impact craters, and discuss the likelihood and effects of an asteroid impact on Earth. |
Unit/Lesson Sequence
| Name | Description |
| Direct and Inverse Variation | "Lesson 1 of two lessons teaches students about direct variation by allowing them to explore a simulated oil spill using toilet paper tissues (to represent land) and drops of vegetable oil (to simulate a volume of oil). Lesson 2 teaches students about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers of different sizes as compared to the area of the containers' bases." from Insights into Algebra 1 - Annenberg Foundation. |