Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Curated OER
Triangle Series
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation.
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 lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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 Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
5280 Math
Interesting Times
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a useful...
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
Curated OER
Sequence Investigation
Eleventh graders investigate arithmetic sequences. In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. Students graph...
101 Questions
Super Stairs
Keep your classes climbing in the right direction. Young mathematicians collect data from a video presentation. Using their data, they build an arithmetic sequence and use it to make predictions.
101 Questions
Pixel Pattern
Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.
K20 LEARN
Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences
Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...
Curated OER
Spreading Doom
Students explore the pattern created by a sequence or series. In this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
TryEngineering
Recursion: Smaller Sibling Pyramids
Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.
101 Questions
Can-struction
Can you solve it?! A New York City art challenge involves making sculptures from cans. The task is to determine the number of cans used in the engineering award-winning sculpture. Scholars consider the patterns in the different layers to...
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson plan. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Curated OER
Finding The Sum of an Infinite Series
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
Core Knowledge Foundation
A Time for All Seasons - Summer
The sun is shining and the birds are singing, what better time to teach young learners about the fun season of summer. In this week-long science series, children learn how the rotation and orbit of the earth influence the days and...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 2
It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...
101 Questions
The Incredible Shrinking Dollar
Make money disappear! Young scholars watch as a copier shrinks a dollar bill to 75 percent of its size. Learners are left to determine the size of the dollar bill after nine passes through the copier.
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
Curated OER
BOWEN'S REACTION SERIES
Students research Bowen's Reaction Series and recreate the process in an experiment which details the crystallization sequence of minerals that can be observed in nature.
Core Knowledge Foundation
A Time for All Seasons - Winter
As the days get shorter and a chill enters the air, it's time to start teaching your little ones about the wondrous winter season. Through a series of teacher demonstrations, whole-class read alouds and discussions, and hands-on...
Curated OER
Number Patterns
An easy way to introduce numerical patterns, these activities can be made simpler by using addition, or more difficult with division, fractions, and percentages. Children examine patterns and determine the missing number in the sequence....
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