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 5.01

Identify, describe, and generalize relationships in which:

  • Quantities change proportionally.
  • Change in one quantity relates to change in a second quantity.

Resources aligned to this objective

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
Exploring Other Number Patterns
Students analyze numeric patterns, including Fibonacci numbers. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Favorite Pizza Toppings
Students make a bar graph to display information about their favorite pizza toppings, analyze the results from the graph, and then share their findings with fellow classmates. (Learn more)
Format: lesson plan (grade K–5 Mathematics)
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
Growing Patterns
Students use numbers to make growing patterns. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
Maintaining the Balance
Students participate in activities in which they focus on patterns and relations that can be developed from the exploration of balance, mass, length of the mass arm, and the position of the fulcrum. (Learn more)
Format: lesson plan (grade 3–4 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
Patterns on Charts
Students find, record, and analyze patterns on hundred and multiplication charts. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: National Council of Teachers of Mathematics
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
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