ALEX Classroom Resource

  

Tables, Equations

  Classroom Resource Information  

Title:

 Tables, Equations

URL:

 https://aptv.pbslearningmedia.org/resource/our20-math-854/tables-equations/

Content Source:

 PBS
Type: Audio/Video

Overview:

In this video lesson, students work with graphs and tables that represent functions. They learn the conventions of graphing the independent variable (input) on the horizontal axis and the dependent variable (output) on the vertical axis and that each coordinate point represents an input-output pair of the function. By matching contexts and graphs and reading information about functions from graphs and tables, students become familiar with the different representations and draw connections between them.

Grade 8, Episode 8: Unit 5, Lesson 4 | Illustrative Math

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 8
13. Determine whether a relation is a function, defining a function as a rule that assigns to each input (independent value) exactly one output (dependent value), and given a graph, table, mapping, or set of ordered pairs.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Define a function as a rule assigning each input exactly one output.
  • Identify functions when given a relation as graph, table of values, mapping, or set of ordered pairs.
Teacher Vocabulary:
  • Relation
  • Function
  • Input
  • Output
Knowledge:
Students know:
  • how to interpret a graph, table, mapping, and ordered pairs.
Skills:
Students are able to:
  • give an accurate definition of a function.
  • Analyze graphs, tables, mappings, and sets of ordered pairs to determine if a relation is a function.
Understanding:
Students understand that:
  • Functions assign every input one output, but they may see outputs repeat.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.8.13.1: Define function, ordered pairs, input, output.
M.8.13.2: Demonstrate how to plot points on a Cartesian plane using ordered pairs.
M.8.13.3: Recall how to complete input/output tables.
M.8.13.4: Recognize numeric patterns.
M.8.13.5: Given a function, create a rule.

Prior Knowledge Skills:
  • Define quadrant, coordinate plane, coordinate axes (x-axis and y-axis), horizontal, vertical, and reflection.
  • Demonstrate an understanding of an extended coordinate plane.
  • Draw a four-quadrant coordinate plane.
  • Draw and extend vertical and horizontal number lines.
  • Interpret graphing points in all four quadrants of the coordinate plane in real-world situations.
  • Recall how to graph points in all four quadrants of the coordinate plane.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.13 Determine whether a relation is a function given a graph or a table.

Mathematics
MA2019 (2019)
Grade: 8
Accelerated
8. Analyze the relationship (increasing or decreasing, linear or non-linear) between two quantities represented in a graph. [Grade 8, 17]
Unpacked Content
Evidence Of Student Attainment:
Students:
Given graphical representations of functions,
  • use mathematical reasoning to analyze the graphs and describe the functional relationships between two quantities.
Teacher Vocabulary:
  • Increasing
  • Decreasing
  • linear
  • non-linear
Knowledge:
Students know:
  • Characteristics of representations for functions in graphic form.
Skills:
Students are able to:
  • Use mathematical vocabulary and understanding of functions to describe relationships between two quantities.
Understanding:
Students understand that:
  • Functions can be represented in a variety of ways, each of which provides unique perspectives of the relationship between the variables.
  • Graphs of functions are useful to compare characteristics of different relationships.
Diverse Learning Needs:
Tags: equations, graphs, input, output, tables
License Type: Custom Permission Type
See Terms: https://aptv.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

Additional activity and practice pages are provided for this video lesson.

  This resource provided by:  
Author: Kristy Lacks
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