Worksheet
Curated OER

Geometric Sequences - Bacterial Growth

For Students 8th - 10th Standards
Bring algebra to life with scientific applications. Math minded individuals calculate and graph the time it takes a bacterium to double. They discuss geometric sequences and use a chart to graph their findings. There are 38...
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...
Interactive
CK-12 Foundation

Geometric Sequences and Exponential Functions: Bouncing Ball

For Students 9th - 12th Standards
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...
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.
Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Students 8th - 10th Standards
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...
Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a instructional activity that uses what class members know about explicit formulas to develop an...
Lesson Plan
Shodor Education Foundation

An Introduction to Arithmetic and Geometric Sequences

For Teachers 4th - 8th Standards
Help your class look for patterns as they create their own arithmetic and geometric sequences. Engage learners with an introductory discussion on sequences and use the applet to let them explore how sequences are formed. Teachers might...
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
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
EngageNY

Sequences of Rigid Motions

For Students 8th Standards
Examine the various rigid transformations and recognize sequences of these transformations. The lesson asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
Lesson Plan
Virginia Department of Education

Growing Patterns and Sequences

For Teachers 6th - 7th Standards
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...
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...
Activity
101 Questions

Domino Skyscraper

For Teachers 9th - 12th Standards
Can a domino knock over a skyscraper? An inquiry-based lesson asks learners to calculate the size of domino needed to topple the Empire State Building. Using specific criteria and a geometric model, they find a solution.
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. 
Lesson Plan
Curated OER

Sequence Investigation

For Teachers 11th
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. ...
Lesson Plan
1
1
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
1
1
Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Activity
101 Questions

The Incredible Shrinking Dollar

For Teachers 9th - 12th Standards
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.
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: Table Tiles

For Teachers 9th - 12th Standards
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Lesson Plan
2
2
EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
Lesson Plan
Curated OER

Geometric Designs in the Game of "Life"

For Teachers 9th - 12th
Students play a game to discover simple patterns. In this geometric designs lesson, students use a game board and counters to represent survivals, deaths, and births. They explore simple patterns for several generations.
Lesson Plan
EngageNY

The Power of Exponential Growth

For Students 9th - 10th Standards
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson plan to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...
Lesson Plan
Bowland

Pointzero: Confined

For Teachers 6th - 8th Standards
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...

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