3. Student Learning Map

  • Topic:02-Functions, Equations, and Graphs
  • Subject(s):Math
  • Days:14
  • Grade(s):11
Key Learning:

There is a relationship between linear equations, absolute value equations, absolute value inequalities and their corresponding graphs.
Unit Essential Question(s):
 
 
How are functions and relations represented graphically?
   
Concept: Relations and Functions (2.1)
MA.912.A.2.3   LA.910.1.6.1  
Concept: Linear Equations (2.2)
MA.912.A.10.3   MA.912.A.3.10   MA.912.A.3.3   MA.912.A.2.6   LA.910.1.6.1  
Concept: Direct Variation (2.3)
MA.912.A.2.12   LA.910.1.6.1   MA.912.A.10.3  
Lesson Essential Question(s):

What makes a relation a function? (A)
Lesson Essential Question(s):

How does the algebraic representation of a linear equation relate to its graphical representation? (A)
Lesson Essential Question(s):

How do I solve problems using direct variation?

(A)
Vocabulary:

relation, function, domain, range, mapping diagram, vertical line test, function notation

Vocabulary:

linear function, slope, scatter plot, correlation, point-slope form, slope-intercept form, vertical, horizontal, parallel, perpendicular, linear equation, dependent variable, independent variable, x-intercept, y-intercept, standard form

Vocabulary:

constant of variation, direct variation

Concept:

Absolute Value Graphs and Translations (2.5 and 2.6)

MA.912.A.2.10   MA.912.A.2.6   MA.912.A.2.5   LA.910.1.6.1   MA.912.A.10.3  
Concept:

Inequalities with Two Variables (2.7)

MA.912.A.2.6   MA.912.A.2.5   LA.910.1.6.1   MA.912.A.10.3  
Concept:
Lesson Essential Question(s):

How can I analyze, describe, and graph absolute value functions?

(A)
Lesson Essential Question(s):

How are linear inequalities and absolute value inequalities represented graphically?

(A)
Lesson Essential Question(s):
Vocabulary:

vertex, parent function, translation

Vocabulary:

solution set

Vocabulary:

Additional Information:

Also include Language Arts Benchmarks LA.910.1.6.1 (use of vocabulary) and LA.910.4.2.1 (write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions)), when appropriate.

Prentice Hall Algebra II: (2.1-2.3, 2.5-2.7)

Suggested materials: Graphing calculators

Resources:

View As PDF
Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Vocabulary Report

  • relation -
  • constant of variation -
  • solution set -
  • vertex -
  • linear function -
  • direct variation -
  • slope -
  • parent function -
  • function -
  • translation -
  • domain -
  • scatter plot -
  • range -
  • correlation -
  • point-slope form -
  • mapping diagram -
  • slope-intercept form -
  • vertical line test -
  • vertical -
  • function notation -
  • horizontal -
  • parallel -
  • perpendicular -
  • linear equation -
  • dependent variable -
  • independent variable -
  • x-intercept -
  • y-intercept -
  • standard form -