LEARN NC

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

Goal 5

Algebra - The learner will demonstrate an understanding of simple algebraic expressions.

Objective 5.04

Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.

Resources aligned to this objective

See how they run!: The 100 meter dash
Middle level students will collect times as they run the 100 meter dash. These times will be depicted through various graphic representations (bar, circle, histogram). Times will be compared to current world records for the 100 meters. Students will decide which Math class ran fastest and support that choice in short essay form. They will also try to determine the faster gender based on the data collected.

This lesson plan is a unit filled with related lesson plans. One or two parts of this project could be completed as a stand-alone lesson, or the entire set of activities and extensions could be completed for an involved, integrated unit.
Format: lesson plan (grade 6–8 Mathematics)
By Holly Smith.
Pizza anyone?
Students survey their class and analyze data about favorite pizza toppings. This activity is meant to be fun and engaging, with the class participating and making decisions as a whole.
Format: lesson plan (grade 6 Mathematics)
By Jack Hunter.
Marketing careers: Working with scale drawings
In CareerStart lessons: Grade six, page 2.6
This activity for grade six combines math, art, and writing, as students create a scale drawing of a toy car and reflect on how math can be used in marketing careers.
Format: lesson plan (grade 6 Mathematics)
By Kim Abrams, Mike McDowell, and Barbara Strange.
Life's percents
Students will gather data from their own lives to use in calculating percents. They will measure parts of their bodies (head, leg, neck, etc.), complete a class survey that asks information about themselves, and use a pay stub to find percentages of deductions.
Format: lesson plan (grade 6–7 Mathematics)
By Karen Mcpherson.
Ecuador: A study of population
In this lesson, students will create population pyramid graphs and analyze photographs to investigate population in Ecuador. Students will draw on this analysis to make predictions about how population issues will affect Ecuador's future. The lesson plan is designed to be adapted to the study of various countries.
Format: lesson plan (grade 6 English Language Arts, Mathematics, Science, and Social Studies)
By Eric Eaton.

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
Which pocket?
In this lesson, one of a multi-part unit from Illuminations, students continue their investigation of the Paper Pool game by discovering a rule to predict the pocket in which the ball will land. (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
Population pyramids and us
In this Xpeditions lesson, students learn how a geographer uses a population pyramid to interpret the dynamics of a population. (Learn more)
Format: lesson plan (grade 6 Mathematics and Social Studies)
Provided by: National Geographic
The plus sign and triangle
In this lesson, students explore the concepts of identity, inverse, commutativity, and associativity. (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
Learning about rate of change in linear functions using interactive graphs: Constant cost per minute
Students drag a slider on an interactive graph to modify a rate of change (cost per minute for phone use) and learn how modifications in that rate affect the linear graph displaying accumulation (the total cost of calls). (Learn more)
Format: lesson plan (grade 6–8 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