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.
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
5280 Math

Aquarium Equations

For Teachers 8th - 12th
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
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.
Assessment
Balanced Assessment

Pick a Pattern or Two

For Students 6th - 8th
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...
Lesson Plan
Curated OER

All Systems Go!

For Teachers 9th - 12th Standards
Secret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Students 9th - 10th Standards
As a continuation of a previous lesson, 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. Notation...
Lesson Plan
Teach Engineering

The Fibonacci Sequence and Robots

For Students 6th - 8th Standards
What better way to introduce the idea of a sequence than with robots! An educational instructional activity explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the instructional activity...
Lesson Plan
Kenan Fellows

Dinner Party: Using Pattern Trains to Demonstrate Linear Functions

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

Coins in a Circle

For Teachers 9th - 12th Standards
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.
Lesson Plan
Curated OER

The King's Chessboard

For Teachers 6th - 12th Standards
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
Lesson Plan
Curated OER

Writing Equations Mixed Review

For Teachers 9th - 10th
Students write equations based on a pattern. In this algebra lesson, students calculate the arithmetic and geometric mean of a sequence. They rewrite word problems as a linear equation and solve real life scenario based on the given data.
Lesson Plan
Curated OER

Writing Equations from a Table

For Teachers 9th - 11th
Learners graph and evaluate equations. In this algebra lesson, students are given pairs of coordinates and asked to write an equation representing the values. They are also given values to plug in to their equations and evaluate.
Lesson Plan
Curated OER

Sequences and Linear Equations

For Teachers 8th - 10th
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.
Lesson Plan
2
2
Curated OER

Skeleton Tower

For Teachers 9th - 12th Standards
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
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...
Lesson Plan
Rochester Institute of Technology

Skateboard Assembly - Cycle Time

For Teachers 6th - 12th
Assemble a great lesson on assembly lines. In the first installment of a nine-part technology/engineering series, future entrepreneurs learn about the manufacturing process, specifically about the assembly line and cycle time. The lesson...
Lesson Plan
Colorado State University

What Is a "Model"?

For Teachers 6th - 12th
Model the transfer of energy during a typical 24-hour period. Young scholars use a game-like approach to learning the patterns of heat transfer through the day and night. Groups of four exchange different tokens as the energy...
Worksheet
Math Stars

Math Stars: A Problem-Solving Newsletter Grade 6

For Students 4th - 7th Standards
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box...
Lesson Plan
EngageNY

Completing the Square (part 2)

For Students 9th - 10th Standards
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Unit Plan
Mathematics Vision Project

Structures of Expressions

For Teachers 10th - 12th Standards
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
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,...