Standard Course of Study :: Mathematics — Grade 5

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 5.01

Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols.

Resources aligned to this objective

Flying Saucers: Circles
Students will apply what they have learned about circles and finding averages with this lesson.
This lesson should be broken up into 3 class periods of an hour for each class.
Format: lesson plan (grade 5 Mathematics)
By Amy Romagnuolo.
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.
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
Counting Embedded Figures
Students look for patterns within a given figure, count embedded squares, rectangles, or triangles, attempt to form generalizations, and sharpen their algebraic thinking skills.

(Learn more)
Format: lesson plan (grade 5–8 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
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
Plastic packaging
In this lesson, one of a multi-part unit from Illuminations, students investigate data in connection with recyclable materials and develop plans to help the environment. (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
Two Runners
Students physically demonstrate two scenarios involving rate of change, and then use software to simulate two runners along a track. (Learn more)
Format: lesson plan (grade 5 Mathematics)
Provider: National Council of Teachers of Mathematics