ALEX Classroom Resource

  

From Patterns of Input and Output to Algebraic Equations

  Classroom Resource Information  

Title:

 From Patterns of Input and Output to Algebraic Equations

URL:

 https://aptv.pbslearningmedia.org/resource/vtl07.math.algebra.var.lpfunction/from-patterns-of-input-and-output-to-algebraic-equations/

Content Source:

 PBS
Type: Lesson/Unit Plan

Overview:

In this Cyberchase lesson, students will watch a video clip in which Hacker creates a cyberfrog with numeric buttons that produce different numbers of hops. The relationship between input and output values is used to teach students how to use algebraic expressions and, subsequently, equations. The entire lesson can be found using the Content Source link or each individual activity can be found in the Content Section.

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.

Tags: input, output, patterns, relationships, table
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityText Resources: Content is organized under headings and subheadings
Video resources: includes closed captioning or subtitles
Comments

Frog Hops, Part 1 QuickTime Video
Frog Hops, Part 2 QuickTime Video

Handout: Algebraic Expressions and Equations
Assessment: Level A
Assessment: Level B
Answer Key

  This resource provided by:  
Author: Kristy Lacks
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