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

Personal trainers: Working with slope
In CareerStart lessons: Grade eight, page 2.2
In this lesson, students make calculations based on slope and answer questions about slope (rate of change).
Format: lesson plan (grade 9 Mathematics)
By Debbie Brooks, Peggy Dickey, and Jan Sullivan.
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.
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 9–12 Mathematics)
By Anne Walters.
Bouncing ball experiment
In this experiment students should be in groups of 3. Students will drop a ball from different heights and measure the corresponding bounce. Since each group will use a different ball, they will generate different sets of data. They will be asked to discuss and compare their linear function with that of their classmates. They should practice measuring the ball bounce before they begin to collect data.
Format: lesson plan (grade 9–12 Mathematics)
By alicia jones.

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
Symbolic analysis
In this lesson, one of a multi-part unit, 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
Seeing music
In this Illuminations lesson, students calculate terms of a geometric sequence to determine frequencies of the chromatic scale. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
The Regression Line
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive graphing tool. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
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
Exploring Linear Data
Students model linear data in a variety of settings. (Learn more)
Format: lesson plan (grade 7–12 Mathematics)
Provided by: 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)
Provided by: National Council of Teachers of Mathematics