LEARN NC

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

Goal 1

Number and Operations - The learner will perform operations with numbers and expressions to solve problems.

Objective 1.02

Use formulas and algebraic expressions, including iterative and recursive forms, to model and solve problems.

Resources aligned to this objective

Discovering Perimeters
By using string, students will discover a formula for finding the perimeter of a rectangle.
Format: lesson plan (grade 6–12 Mathematics)
By Jenny Crumpler.
Powers of Monomials
This lesson is a PowerPoint presentation of the Powers of Monomials. It speaks on the following rules: Product of Powers, Power of a Power.
Format: lesson plan (grade 9–12 Mathematics)
By Clarissa Kelly.

Lesson plans on the web

The best way to see Europe
Students use algebra to plan all aspects of a trip. (Learn more)
Format: lesson plan (grade 9–12 Computer Technology Skills, Information Skills, and Mathematics)
Provider: Patricia Dube, Beverly High School, Beverly, Massachusetts
The Devil and Daniel Webster
In this lesson, from Illuminations, students examine a recursive sequence. They approximate and interpret rates of change from numerical data and draw reasonable conclusions about the situation being modeled. (Learn more)
Format: lesson plan (grade 9–12 Mathematics and English Language Arts)
Provider: National Council of Teachers of Mathematics
Dirt bike dilemma
In this Illuminations lesson, students discover the algorithm for solving linear programming problems. They gain conceptual understanding by solving a real-world problem and using graphing calculator applications. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Gather data
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Iterating to find the square root of two
In this lesson, from Illuminations, students use a computer software program to assist them in determining the square root of the number two to a given number of places (quite large). (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Light it up
In this Illuminations lesson, students are presented with a real-world problem: Given a mirror and laser pointer, determine the position where one should stand so that a reflected light image will hit a designated target. This investigation allows students to develop several rational functions that models three specific forms of a rational function. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Rediscovering the patterns in Pick's Theorem
In this lesson, the first in a series from Illuminations, students use a geoboard, geoboard applet, or Geometer's Sketchpad to discover the pattern of Pick's Theorem. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Seeing music
In this Illuminations lesson, students calculate terms of a geometric sequence to determine frequencies of the chromatic scale. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Stacking squares
This Illuminations lesson prompts students to explore ways of arranging squares to represent equivalences involving square- and cube-roots. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Symbolic analysis
In this lesson, one of a multi-part unit, students use iteration, recursion, and algebra to model and analyze a changing fish population. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Trout pond population
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Vigenere cipher
In this lesson, one of a multi-part unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics