LEARN NC

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

Integrated Mathematics 1

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.

Additional related resources

We’re in the process of aligning our content for students to the Standard Course of Study. As we do, you’ll find it here.

General resources

Aligned lesson plans

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.
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 8–12 Mathematics)
By Misty Jarman.
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 8–12 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
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
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 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
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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: National Council of Teachers of Mathematics
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)
Provided by: National Council of Teachers of Mathematics