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 constants and coefficients in the context of the problem.

Resources aligned to this objective

Homerun Hoopla
This lesson is designed for students to gather and analyze data about baseball figures. The student will use the Internet or other resources to collect statistical data on the top five home run hitters for the current season as well as their career home run totals. The students will graph the data and determine if it is linear or non-linear.
Format: lesson plan (grade 8–12 Mathematics)
By Anne Walters.
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.

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
The Devil and Daniel Webster
In this lesson, from Illuminations, students examine a recursive sequence. They approximate and interpret rates of change from numerical data and draw reasonable conclusions about the situation being modeled. (Learn more)
Format: lesson plan (grade 9–12 Mathematics and English Language Arts)
Provider: National Council of Teachers of Mathematics
The Effects of Outliers
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (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
Gather data
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Make a conjecture
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Movie lines
This Illuminations lesson allows students to apply their knowledge of linear equations and graphs in an authentic situation. (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
Pedal power
In this Illuminations lesson, students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain. They determine the slopes of the graphs and interpret them as rates of change. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Pick's theorem as a system of equations
In this lesson, one of a multi-part unit from Illuminations, students gather three examples from a geoboard or other representation to generate a system of equations. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Rediscovering the patterns in Pick's Theorem
In this lesson, the first in a series from Illuminations, students use a geoboard, geoboard applet, or Geometer's Sketchpad to discover the pattern of Pick's Theorem. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Reflect on your work
In this lesson, students examine, re-examine, and compare the results obtained in previous lessons to enrich their mathematical understanding. (Learn more)
Format: lesson plan (grade 9 Mathematics)
Provider: National Council of Teachers of Mathematics