LEARN NC

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

Goal 5

Algebra - The learner will demonstrate an understanding of mathematical relationships.

Objective 5.02

Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.

Resources aligned to this objective

The Grapes of Math
The book The Grapes of Math is an excellent motivational picture book that models how to use different “thinking” skills to solve word problems by employing a variety of computation strategies. By reading and discussing the possible solutions to the examples provided in the text, students will begin to visualize possible methods to use when trying to solve word problems. Using other word problems to practice the application of these various strategies will enhance the students' abilities to recognize and then apply successful strategies for problem solving.
Format: lesson plan (grade 3–5 Computer Technology Skills and Mathematics)
By Deborah Cook.
In it Goes, Out it Comes
Students will work with input and output using numbers and letters.
Format: lesson plan (grade 4 Mathematics)
By Angeli Jarman.

Lesson plans on the web

Bag the beans
Students work with manipulatives (beans) to create and solve math problems, some of which have more than one correct answer. (Learn more)
Format: lesson plan (grade 3–4 Mathematics)
Provider: American Association for the Advancement of Science
Birthdays and the Binary System: Exploring Binary Numbers in a Real-World Application
This lesson revolves around patterns and place value in the binary system. Students are drawn into mathematics by the “magical” ability to guess an unknown number and by the use of birthdays. (Learn more)
Format: lesson plan (grade 4–6 Mathematics)
Provider: National Council of Teachers of Mathematics
Chairs around the table
In this Illuminations lesson, students investigate the number of chairs that can be placed around an arrangement of square tables. Three related problems in this lesson yield different linear relationships for students to discover. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Collecting the rays
In this lesson, from Illuminations, students explore how variations in solar collectors affect the energy absorbed. They make rectangular prisms that have the same volume but different linear dimensions. (Learn more)
Format: lesson plan (grade 3 Mathematics and Science)
Provider: National Council of Teachers of Mathematics
Cylinders and scale
This lesson, from Science NetLinks, teaches students that most things have built-in limits in scale, but that knowing an object's extreme limits of scale can be revealing. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: American Association for the Advancement of Science
The first race
In this lesson, one of a multi-part unit from Illuminations, students model multiplication facts on the number line and compare various representations. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Number line journeys
In this lesson, one of a multi-part unit from Illuminations, students generate products using a number line model. Students are encouraged to predict the products and to answer puzzles involving multiplication. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Paper bead necklace
Students learn about the concept of patterns by creating a beaded necklace. (Learn more)
Format: lesson plan (grade K–4 Visual Arts Education and Mathematics)
Provider: The Kennedy Center for the Performing Arts
Patterns That Grow: Looking Back and Moving Forward
Students use logical thinking to create, identify, extend, and translate patterns. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Single runner
In this lesson, one of a multi-part unit from Illuminations, students physically demonstrate two scenarios involving rate of change and then use a software simulation of two runners along a track. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Understanding distance, speed, and time relationships using simulation software
This e-example includes a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
The variable machine
This Illuminations lesson provides an introduction to the use of variables for elementary math. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
What comes nex_?: A lesson in patterns and sorting
This lesson, from Illuminations, deals with patterns and the importance of looking at data from more than a single perspective. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics