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Worksheet
Curated OER

The Algebra of Summation Notation

For Students 9th - 11th
In this algebra activity, learners use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
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Interactive
CK-12 Foundation

Sum Notation and Properties of Sigma: Cracking the Code

For Students 11th - Higher Ed
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
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Worksheet
Curated OER

Summation Notation, Area, Riemann Sums

For Students 11th - Higher Ed
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
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Worksheet
Curated OER

Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
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Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
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Lesson Plan
Curated OER

Sequences and Series

For Teachers 9th - 12th
Students 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.
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Worksheet
Curated OER

Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
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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 lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
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Lesson Plan
Curated OER

Plunge Into Place Value

For Teachers 2nd - 3rd
Students use expanded notation. In this mathematics lesson, students determine the place value of a digit within a whole number. Students use manipulatives, words, and symbols to represent whole numbers.
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Lesson Plan
Curated OER

Corn-Crop is a Bin-Buster

For Teachers 9th - 12th Standards
Learners calculate percent change and create lists of data. They enter the corresponding bushels of corn measured in billions to their list and display, then convert the acres into scientific notation and use the value on the home screen...
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Lesson Plan
Curated OER

Place Value Made Simple

For Teachers 3rd - 5th Standards
Elementary schoolers explore place value to the millions place. They construct and evaluate the value of numbers. Working in small groups, pupils problem solve with pocket place value charts, and examine standard and expanded forms. This...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 1)

For Teachers 9th - 12th Standards
This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly move...
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Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 2

For Teachers 9th - 12th Standards
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
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Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
In this algebra worksheet, students find the formula for the sequences and summation of each problem. There are 14 questions with a detailed answer key.
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Lesson Plan
Virginia Department of Education

Calculating Measures of Dispersion

For Teachers 10th - 12th Standards
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Lesson Plan
National Security Agency

Place Value - Butterflies Floating Place to Place

For Teachers 3rd Standards
Learn about butterflies and place value in a series of interdisciplinary lessons! With several worksheets that reference butterfly facts in word problems, kids can practice science and math in one activity. Additional worksheets are...
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Unit Plan
Mathematics Vision Project

Module 5: Features of Functions

For Teachers 8th - 10th Standards
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
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Lesson Plan
Virginia Department of Education

Analyzing and Interpreting Statistics

For Teachers 10th - 12th Standards
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...

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