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Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
Number Patterns and Sequences
In this finding the missing numbers in patterns and sequences worksheet, upper graders read a series of one-digit, two-digit, and three-digit numbers to solve the problems. They solve 10 problems.
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 2
It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...
Odell Education
Arithmetic and Geometric Sequences and Series
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...
Curated OER
Triangle Series
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.
Curated OER
Sequences
Provide your class with a comprehensive set of examples that help define sequences. They view a wide variety of sequences that range from animals, to letters and sounds. They work through each sequence to determine what should come next....
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 activity that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
Mathed Up!
Sequences
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...
CK-12 Foundation
Sums of Geometric Series
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...
Curated OER
Trigonometry Practice Series #3
In this trigonometry learning exercise, learners calculate the sum of the terms in an arithmetic and geometric series. This two-page learning exercise contains 5 multi-step problems. Answers are provided at the bottom of...
CK-12 Foundation
Arithmetic Series Sums: Adding Arithmetic Sums
Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Mathematics Vision Project
Module 1: Sequences
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...
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...
Curated OER
Rates of Convergence of Functions and Sequences
For this math worksheet, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
Illustrative Mathematics
Shape Sequence Search
Learning that size and orientation don't affect the classification of shapes is a big step for young mathematicians. Support children with developing this key understanding by looking at the array of shapes included in this resource. For...
Flipped Math
Series
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...
Curated OER
Sequences, Series, and Probability
Students will find the finding n terms of a sequence, and partial sums with and without using a graphing utility. Students will apply properties of sequences, series, and probability to word problems such as salary calculations,...
Curated OER
Sequences and Series
Learners use Excel Database to explore sequences and series. They examine how to calculate term positions and Sigma Notations. Students use Excel to calculate the values and they print the pages for grading.
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
Infinite Geometric Series
In this geometric series learning exercise, learners examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page...