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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 lesson that uses what class members know about explicit formulas to develop an understanding of...
Curated OER
Geometric Sequences - Bacterial Growth
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...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
As a continuation of a previous lesson plan, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds....
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Curated OER
Sequences
Students solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.
Curated OER
Algebra...Your Second Language
Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help students...
Curated OER
Sequence Graphs
Investigate arithmetic and geometric sequences by using a graphing calculator to determine if a sequence is linear or exponential.
PBS
Patterns to the Rescue!
Track down the Cyberchase episode that this lesson is associated with. Using a worksheet that is embedded in the plan, learners must find the next two numbers and shapes (a double pattern). Once these have been discovered, pupils try...
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...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
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...
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational lesson explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson challenges individuals to...
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...
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...
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...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Curated OER
Linear Sequences and Terms
Learners identify the nth rule for each sequence. In this algebra lesson plan, students finish the pattern or sequence and find the missing term. They relate patterns and sequences to the real world.
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. In this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
Curated OER
Simple Sequence
Students identify the nth term in a sequence. In this algebra lesson, students generate sequences given the formula for each sequence. They find the formula given the sequence.
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...
Curated OER
Seeing Dots
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.
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...