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 5.03

Verify mathematical relationships using:

  • Models, words, and numbers.
  • Order of operations and the identity, commutative, associative, and distributive properties.

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
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
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
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
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
Setting the pace
In this lesson, one of a multi-part unit from Illuminations, students continue their investigation of modeling multiplication on the number line using the Distance-Speed-Time Simulation from the NCTM E-Examples. (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
Telling racing stories
In this lesson, one of a multi-part unit from Illuminations, students model races in which runners start from various positions. They enter numbers in a table of values, model races on a coordinate grid, and compare the results. (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