Worksheet
Curated OER

Geometric Sequences or Progressions

For Students 11th - 12th
In this Algebra II/Pre-calculus instructional activity, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration.  The one page instructional activity contains thirty-six...
Lesson Plan
1
1
Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
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.
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...
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...
Lesson Plan
Curated OER

Sequences in Geogebra

For Teachers Higher Ed
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a circle. The...
Worksheet
Curated OER

Arithmetic and Geometric Series

For Students 9th - 12th
In this algebra learning exercise, high schoolers calculate the sum of a finite, geometric or arithmetic series. There are 5 multiple choice questions.
Lesson Plan
1
1
Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: Table Tiles

For Teachers 9th - 12th Standards
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...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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
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
Curated OER

Patterns Everywhere!

For Teachers 4th - 5th
Learners recognize and demonstrate the patterning of numbers and objects in our environment. They create a pattern using geometric shapes and find a missing number in a sequence.
Lesson Plan
Curated OER

Count on Me

For Teachers 4th
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Lesson Plan
EngageNY

The Power of Exponential Growth

For Students 9th - 10th Standards
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...
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...
Interactive
Curated OER

Geometric and Arithmetic Sequences

For Students 6th - 10th
In this geometry activity, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.
Worksheet
Curated OER

Arithmetic and Geometric Means

For Students 9th - 11th
In this algebra worksheet, students analyze the pattern and come up with the geometric means formula in the sequence. The complete the sequence with before and after numbers in the sequence to make it complete. There are 28 questions...
Worksheet
Curated OER

Trigonometry Practice Series #3

For Students 7th - 12th
In this trigonometry activity, students calculate the sum of the terms in an arithmetic and geometric series.  This two-page activity contains 5 multi-step problems.  Answers are provided at the bottom of the page.
Worksheet
1
1
Curated OER

Sequences

For Students 9th - 11th
In this algebra instructional activity, students identify difference and common ratio in sequences. They use arithmetic and geometric ratios to solve patterns. There are 10 questions with an answer key.
Worksheet
Curated OER

Lengths and Dot Sequences

For Students 11th - Higher Ed
In this math worksheet, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Lesson Plan
Curated OER

Advanced Algebra with the TI-89

For Teachers 9th - 12th Standards
Pupils investigate the formulas for volumes of various solids using the Ti-89 calculator. The instructional activity focuses on the keying sequences necessary to embed the required volume formula in a program which is then used in the...
Lesson Plan
Curated OER

NUMB3RS Activity: Chains and Pyramids

For Teachers 6th - 12th Standards
Watch an episode of the TV show, NUMB3RS and then explore the mathematics of chain letters and pyramid schemes, both of which involve geometric progressions and exponential growth. They discuss why both are dangerous and illegal.
Worksheet
Curated OER

Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six...