LEARN NC

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

Goal 5

Algebra - The learner will recognize, determine, and represent patterns and simple mathematical relationships.

Objective 5.01

Describe and extend numeric and geometric patterns.

Resources aligned to this objective

Cross Up Hundreds Board
Students will experience patterns and problem solving on the Hundreds Board.
Format: lesson plan (grade 3 Mathematics)
By Karen Bartlett.
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.
Origami Geometry
Students apply their knowledge of geometric terms to follow directions while folding an origami sculpture. Students then solve math problems which relate to the project with follow-up discussions about the project relating to geometric terms such as symmetry, faces, edges, square, triangle, plane, etc.
Format: lesson plan (grade 3–5 Mathematics)
By Cherl Hollada, Libby Morrison, Michelle Kaczynski, and Susan Pope.
Phases of the moon
Young children may have the idea that the moon actually changes shape. This lesson explains that this apparent change is a result of the moon's revolution around the earth.
Format: lesson plan (grade 3 Mathematics and Science)
By Jacquelyn Arthur.

Lesson plans on the web

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
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
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
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
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
What's in a shape?
The purpose of this lesson, from Science NetLinks, is to explore characteristics of shapes by making and using tangram sets. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provider: American Association for the Advancement of Science
What's next?
In this lesson, one of a multi-part unit from Illuminations, students begin their study of growing patterns by making linear patterns with pattern block shapes using several pattern cores. (Learn more)
Format: lesson plan (grade 3 Mathematics)
Provider: National Council of Teachers of Mathematics