LEARN NC

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

Goal 5

Algebra - The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.

Objective 5.01

Identify, analyze, and create linear relations, sequences, and functions using symbols, graphs, tables, diagrams, and written descriptions.

Resources aligned to this objective

Savor the rainbow
Use skittles to help the students practice the concepts of sorting data, recording data, writing the data collected in fraction form (part/whole), changing the fractions into decimals and percents, and taking the data collected and making a spreadsheet, bar graph, and circle graph of the data.
Format: lesson plan (grade 7 Mathematics)
By Beverly Revis.
Interior designers: Working with area
In CareerStart lessons: Grade seven, page 2.4
In this lesson for grade seven, students will act as interior designers, and will measure the walls of the classroom to determine the area of each wall.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.

Resources on the web

Wrapping it up
In this lesson, one of a multi-part unit from Illuminations, students finalize their work collecting data, identifying patterns, and making predictions about the game of Paper Pool. They then write a report that summarizes all of their findings. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Taking its toll
In this Illuminations lesson, students compare the price of a toll to the distance traveled. Students investigate data numerically and graphically to determine the per-mile charge, and they predict the cost if a new tollbooth were added along the route. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Supreme Court handshake
In this lesson, one of a multi-part unit from Illuminations, students explore the handshake problem, a classic problem in mathematics that asks, “How many handshakes occur when n people shake hands with each other?” (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Patterns and functions
In this lesson, students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensional shapes. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Magic Squares
This lesson, from Illuminations, explores magic squares from both a historical and mathematical perspective. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Line 'em up
In this Illuminations lesson, students learn to plot a point (given its coordinates) and to state the coordinates of a given point using a graphing program for a Texas Instruments graphing calculator. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Learn the game
In this lesson, one of a multi-part unit from Illuminations, students learn the rules for and play an interactive game called Paper Pool. (Learn more)
Format: lesson plan (grade 7–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Investigating fire environments
In this lesson, one of a multi-part unit from Illuminations, students consider the meaning of the term variable, both in a mathematical and an everyday sense, by considering a text-based “equation.” (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
How many hits?
In this lesson, one of a multi-part unit from Illuminations, students continue their investigation of the Paper Pool game by exploring more tables and organizing the results. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Heating up
In this lesson, one of a multi-part unit from Illuminations, students discover the havoc that wildfire can cause. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Graphical representations for the number of hits
In this lesson, one of a multi-part unit from Illuminations, students continue their exploration of the Paper Pool game by graphically analyzing data collected during several games played. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Golden ratio
In this Illuminations lesson, students explore the Fibonacci sequence. They examine how the ratio of two consecutive Fibonacci numbers creates the Golden Ratio and identify real-life examples of the Golden Ratio. (Learn more)
Format: lesson plan (grade 6–8 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
Everything balances out in the end
In this unit of three lessons, from Illuminations, students use a pan balance to study equality, order of operations, numerical and variable expressions and other key algebraic concepts. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Constant dimensions
In this Illuminations lesson, students measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width... (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Burning questions
In this lesson, one of a multi-part unit from Illuminations, students use information from a quiz, along with what they learned in the previous four lessons, to write a summary and finalize a property sketch demonstrating their understanding of wildfires. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Beyond handshakes
In this lesson, one of a multi-part unit from Illuminations, students explore triangular numbers. This exploration enhances students' ability to generalize a pattern with variables. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Barbie bungee
In this Illuminations lesson, students model a bungee jump using a Barbie doll and rubber bands. The distance to which the doll will fall is directly proportional to the number of rubber bands, so this context is used to examine linear functions. (Learn more)
Format: lesson plan (grade 6–12 Mathematics)
Provided by: National Council of Teachers of Mathematics