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 5.02

Translate among different representations of algebraic expressions, equations and inequalities.

Resources aligned to this objective

Graphing Inequalities
This is an activity I use when I need to get my students into groups of two and review inequalties and perpendicular slopes.
Format: lesson plan (grade 7–12 Mathematics)
By Shirlyn Sullins.
Mathematical translations
This lesson develops knowledge of algebraic expressions and their verbal equivalents. Students will establish a foundation for future Algebra I tasks by identifying mathematical symbols and expressions through group work and individual tasks. This lesson contains modifications for the novice high English Language Learner (ELL).
Format: lesson plan (grade 7–12 English Language Development and Mathematics)
By Seth Beale and Wendy Sumner.
Please Excuse My Dear Aunt Sally
Students will learn and practice the correct order of operations. The lesson will begin with a motivational group-art activity. Students will then take notes and do a "pass the paper" activity for practice. This will be followed by students creating their own problems.
Format: lesson plan (grade 6–8 Mathematics)
By Shirley Powell.
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.
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They then write the function rule in algebraic form. This lesson uses a resource of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop "Interactivate Your Bored Math Students."
Format: lesson plan (grade 7 Mathematics)
By Bev Koester.

Lesson plans on the web

Algebra in balance
In this lesson, one of a multi-part unit from Illuminations, students use an interactive pan balance tool to explore algebraic expressions. They determine if algebraic expressions are equal and balance pans to solve a system of equations. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Bagel algebra
In this Illuminations lesson, a real life example taken from a bagel shop is used to get students to think about solving a problem symbolically. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: 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)
Provider: National Council of Teachers of Mathematics
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)
Provider: National Council of Teachers of Mathematics