LEARN NC

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

Goal 5

Algebra - The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.

Objective 5.02

Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems.

Resources aligned to this objective

Algebra For the Real World
Students will solve real world and mathematical problem situations using simple algebraic concepts including variables and open sentences.
Format: lesson plan (grade 5 Mathematics)
By Michael O'Neill.
Rocket Launch
Students will work individually and in collaborative pairs or groups to solve a rocket-launch problem. The pairs/groups will then present potential solutions to the class for discussion. Similar problems will then be solved and created by students.
Format: lesson plan (grade 5 Mathematics)
By Ron Hann.

Lesson plans on the web

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
Building Bridges
Students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have single-solution responses. (Learn more)
Format: lesson plan (grade 5–6 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
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
Running races
In this lesson, one of a multi-part unit from Illuminations, students generate and compare paths that model given problem situations on graphing grids. They graph sets of ordered pairs on a graphing grid and compare graphs of linear equations. (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