Lesson Plan
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Willow Tree

Arithmetic and Geometric Sequences

For Students 8th - 11th Standards
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Lesson Plan
West Contra Costa Unified School District

Geometric Sequences

For Teachers 8th - 10th Standards
Place a lesson on sequences in your sequence of lessons. Scholars first learn the basics of geometric sequences, such as common ratios and then they write recursive and explicit formulas for geometric sequences.
Interactive
CK-12 Foundation

Sequence: The Sequence Calculator

For Students 11th - Higher Ed Standards
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Lesson Plan
Willow Tree

Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Teachers 9th - 10th Standards
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Instructional Video26:23
2
2
Flipped Math

Sequences

For Students 9th - 12th Standards
To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the...
Assessment
Mathed Up!

Sequences

For Students 6th - 8th Standards
Explicitly talk to the class about sequences. A segment of a review series for the General Certificate of Secondary Education math assessment provides a review of arithmetic sequences. Pupils watch a video showing how to find terms given...
Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
Instructional Video11:42
2
2
Flipped Math

Explicit Formulas

For Students 9th - 10th Standards
Find a faster way to determine the 100th term of a sequence. Learners watch a video providing instruction on a way to find the nth term of a sequence—without writing down all the previous terms. Scholars create explicit formulas for...
Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
Assessment
Mathematics Assessment Project

Functions

For Students 8th - 9th Standards
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might...
Instructional Video13:27
2
2
Flipped Math

Recursive Formulas

For Students 9th - 10th Standards
Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...
Interactive
Shodor Education Foundation

Recursion

For Students 9th - 12th Standards
Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...
Instructional Video22:11
2
2
Flipped Math

Series

For Students 9th - 12th Standards
Add it all together. Pupils learn how Gauss was able to add the numbers from 1 to 100 so quickly and arrive at a formula to find the sum of a given number of terms of an arithmetic series. Scholars learn the formula to find the sum for a...
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
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...
eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Lesson Plan
Virginia Department of Education

Relationships Round Robin

For Teachers 7th
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
Lesson Plan
West Contra Costa Unified School District

Arithmetic Series

For Teachers 9th - 12th
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II instructional activity introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Lesson Plan
National Research Center for Career and Technical Education

Depreciation (Double Declining)

For Teachers 9th - 12th
Have you ever been told that your new car begins to lose its value as soon as you drive it off the lot? Aspiring accountants take on the concepts of depreciation and book value through an easy-to-deliver career and technology lesson. The...

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