Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Curated OER
Pattern Power
Young elementary young scholars will discover there are patterns all around them in their daily lives. In groups, they sort pattern blocks by size and color. Using the internet, they create their own type of patterns and share them with...
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Resources for Early Childhood
Making Math Meaningful and Enjoyable
Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...
EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
Curated OER
Patterns, Relations, and Functions: Geometric Shapes
Students explore patterns involving objects or figures and geometric shapes. They identify the missing shapes in patterns and discuss what would come next in the pattern, analyze patterns using different objects, and complete a...
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a instructional activity that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Curated OER
It Just Keeps Going and Going...
Students explore patterns, identify patterns, and complete a variety of patterns. They view and discuss an online video and identify the different patterns from the film, then using a hundreds grid create an original pattern using their...
Illustrative Mathematics
Shape Sequence Search
Learning that size and orientation don't affect the classification of shapes is a big step for young mathematicians. Support children with developing this key understanding by looking at the array of shapes included in this resource. For...
Oregon Department of Education
Building and Expanding Patterns
The generation of a number, or shape pattern, is the focus of this math instructional activity. Pupils are presented with a variety of patterns shapes, and number patterns, then use worksheets embedded in the plan to gain further...
Curated OER
Patterns
Fourth graders investigate patterns and sequences. In this patterns and sequences instructional activity, 4th graders use a hundreds chart to build recurring patterns. Students skip count by threes and fives on a hundreds...
West Contra Costa Unified School District
Connecting Arithmetic Sequences to Linear Equations
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Patterns and Sequences
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
Curated OER
Patterns and Geometric Representations
Students explore patterns and sequences. Given an example of each, they discuss their observations. In groups, students participate in an "Around the World" activity where they rotate to different stations in the classroom to determine...
Curated OER
Teaching Justice: Schooling and the Four Waves of U.S. Immigration
U.S. immigration is the focus of a unit on social justice. Over the course of a school year, young historians read a variety of texts to learn about four waves of immigration that have occurred over time in the U.S. An emphasis on...
National Research Center for Career and Technical Education
Hospitality and Tourism 1: Safety and Sanitation
Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...
Curated OER
Number Patterns and Sequences
Students review how to solve a variety of word problems, focusing on problems that have multiples of 5. They utilize the formula for using number squares and number sequencing with lowest common multiples. Number...