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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
Recursive Formulas for Sequences
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...
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...
EngageNY
Sequences of Rigid Motions
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...
Shodor Education Foundation
An Introduction to Arithmetic and Geometric Sequences
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...
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 Graphs
Investigate arithmetic and geometric sequences by using a graphing calculator to determine if a sequence is linear or exponential.
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...
101 Questions
Domino Skyscraper
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.
EngageNY
The Power of Exponential Growth
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...
EngageNY
Algebraic Expressions—The Distributive Property
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...
EngageNY
Definition of Congruence and Some Basic Properties
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...
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. ...
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
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...
Curated OER
Geometric Designs in the Game of "Life"
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.
Curated OER
Sum of Infinite Geometric Series
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.
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
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...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
Curated OER
As Good As Gold
Students find examples of the Golden Ratio on the human body through measurement. Additionally, students learn about the use of the Golden Ratio and the Golden Rectangle in art and architecture. A very interesting lesson for the students!
Curated OER
Finding The Sum of an Infinite Series
Learners 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...
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.