LEARN NC

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

Goal 4

Algebra - The learner will use relations and functions to solve problems.

Objective 4.01

Use linear functions or inequalities to model and solve problems; justify results.

  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants and coefficients in the context of the problem.

Resources aligned to this objective

Investigating Linear Equations
Using a graphic calculator to compare the slope and y-intercept of lines to understand the slope-intercept form (y = mx+b) and what effect each has on a line.
Format: lesson plan (grade 9–12 Mathematics)
By Misty Jarman.
To be or not to be...Linear
The student will determine the correlation between two variables. They will graph ordered pairs on a coordinate plane, determine a best fit line, find slope and intercepts, and write the equation of a line. This lesson plan is geared for both 8th grade math and algebra.
Format: lesson plan (grade 8–12 Mathematics)
By Kyle Gorton.

Lesson plans on the web

Automobile Mileage: Age vs. Mileage
Students plot data about automobile mileage and interpret the meaning of the slope and y-intercept of the least squares regression line. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Automobile Mileage: Comparing and Contrasting
This lesson allows students the time they need to think about and discuss what they have done in the previous lessons. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Automobile Mileage: Year vs. Mileage
Students plot data about automobile mileage and interpret the meaning of the slope and y-intercept in the resulting equation for the least squares regression line. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Automobile Mileage: Years Since 1990 vs. Mileage
This lesson provides an opportunity for the students to analyze how changing the independent variable in a set of data can result in a different least squares regression line. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Bathtub Water Levels
Students examine real-life data that illustrates a negative slope. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Building Connections
Students explore connections among graphical and algebraic representations of linear, quadratic, and higher-degree polynomial functions. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Exploring Linear Data
Students model linear data in a variety of settings. (Learn more)
Format: lesson plan (grade 7–12 Mathematics)
Provider: 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)
Provider: National Council of Teachers of Mathematics
Gallery Walk
Students view the work of other students in the class and explain their own work. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
My Graph Is...
Students select their own real-life data to plot and interpret. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
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)
Provider: National Council of Teachers of Mathematics