Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences and Series

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
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.
Activity
Curated OER

Triangle Series

For Teachers 9th - 12th Standards
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. 
Activity
5280 Math

Interesting Times

For Teachers 10th - 12th Standards
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...
Unit Plan
Museum of the American Revolution

Through Their Eyes: Major Causes and Events of the American Revolution

For Teachers 4th - 12th Standards
Looking for an efficient way to explore the causes and results of the American Revolution? The American Revolution Museum offers a seven-lesson series to hit the highlights of this turning point, using primary sources and activities such...
Lesson Plan
Curated OER

Arithmetic Sequences

For Teachers 8th - 10th
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.
Lesson Plan
EngageNY

Sequencing Rotations

For Students 8th Standards
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...
Lesson Plan
K20 LEARN

Didn’t We Already Learn That Pattern? Functions/Arithmetic Sequences

For Teachers 9th Standards
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...
Activity
101 Questions

Can-struction

For Students 6th - 10th Standards
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...
Activity
101 Questions

Super Stairs

For Teachers 9th - 12th Standards
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.
Activity
101 Questions

Pixel Pattern

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Number Patterns

For Teachers 4th - 6th
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....
Lesson Plan
Curated OER

Spreading Doom

For Teachers 9th - 12th Standards
High schoolers 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.
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 2

For Students 8th Standards
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...
Lesson Plan
Curated OER

Sequences

For Teachers 9th - 12th Standards
Students solve problems using the TI. In this calculus instructional activity, students evaluate functions using sequences. They graph the functions on the TI and make observations.
Lesson Plan
EngageNY

Definition of Congruence and Some Basic Properties

For Students 8th Standards
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
Lesson Plan
EngageNY

Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a activity that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin...
Lesson Plan
San Francisco Symphony

Beethoven's Sixth Symphony and the Expression of Feeling through the Arts

For Teachers Pre-K - 2nd
Here is an activity used originally to finish off a unit on country life and nature. It requires learners to have a basic understanding of harvest, rural life, and autumn. They'll use what they know to construct dance movements showing...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
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...
Lesson Plan
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Curated OER

Sum of Infinite Geometric Series

For Teachers 9th - 12th Standards
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.
Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus lesson. 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.
Lesson Plan
Curated OER

Sequence Graphs

For Teachers 9th - 12th Standards
Investigate arithmetic and geometric sequences by using a graphing calculator to determine if a sequence is linear or exponential.
Lesson Plan
TryEngineering

Recursion: Smaller Sibling Pyramids

For Teachers 3rd - 6th Standards
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.
Lesson Plan
Curated OER

Junior Solar Sprint Series: Gears and Drive Belts

For Teachers 5th - 8th
Activate middle schoolers' minds with this physical science activity. Learners vary the diameter of gears and the number of teeth on them to find how energy output is affected. This writeup features well-developed background...