LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 4

Algebra - The learner will understand and use linear relations and functions.

Objective 4.01

Develop an understanding of function.

  • Translate among verbal, tabular, graphic, and algebraic representations of functions.
  • Identify relations and functions as linear or nonlinear.
  • Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation.
  • Interpret and compare properties of linear functions from tables, graphs, or equations.

Resources aligned to this objective

Walk the line
This lesson demonstrates the effects of changing the slope and y-intercept on the graph and equation of a line.
Format: lesson plan (grade 8–12 Mathematics)
By Carol Huss.
Mathematical translations
This lesson develops knowledge of algebraic expressions and their verbal equivalents. Students will establish a foundation for future Algebra I tasks by identifying mathematical symbols and expressions through group work and individual tasks. This lesson contains modifications for the novice high English Language Learner (ELL).
Format: lesson plan (grade 7–12 English Language Development and Mathematics)
By Seth Beale and Wendy Sumner.

Resources on the web

Traveling Distances
Students interpret the meaning of the slope and y-intercept of the graph of real-life data. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Graphical analysis
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Exploring linear functions: Representational relationships
This lesson presents a series of explorations based on two linked representations of linear functions. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics