Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
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 problems.
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Curated OER
Arithmetic and Geometric Means
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...
Curated OER
Geometric and Arithmetic Sequences
For this geometry worksheet, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.
Curated OER
Geometric Sequences and Series
In this algebra worksheet, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
Curated OER
Geometric Sequences and Series
Learners find common ratios of geometric sequences on a spreadsheet. Using this data, they create scatter plots of the sequences to determine how each curve is related to the value of the common ratio. They will consider whether series...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Curated OER
Geometric Sequences or Progressions
In this Algebra II/Pre-calculus activity, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration. The one page activity contains thirty-six problems. Answers are not provided.
Curated OER
Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
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 problems. ...
Curated OER
Geometric Figure Quiz
In this geometric figure learning exercise, students answer 10 multiple choice questions about geometric figures. Students find missing angles, interior angles, properties of polygons, etc.
Curated OER
Geometric Figures
In this geometric figures worksheet, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...
Curated OER
Geometric Word Problems
In this geometric figures worksheet, 10th graders solve and complete 11 different word problems. First, they find the area of a regular octagon with a given side. Then, students find the area of each shaded region. They also find the...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
CK-12 Foundation
Finding the nth Term Given the Common Ratio and the First Term: Dominoes
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...
Lane Community College
Review Sheets: College Algebra
A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each topic...
Mathematics Assessment Project
Functions
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 use a...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Balanced Assessment
Disc-Ness
Transform your scholars into mathematicians as they develop their own geometric definition. The task asks individuals to compare cylindrical objects and create a definition for the disc-ness of each object. They may use any method and...
Flipped Math
Recursive Formulas
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...
Curated OER
Take Your Medicine 2
Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...
Curated OER
Disease and Epidemics
Explore how the study of diseases and epidemics can be comprehended from a mathematical perspective. Investigate finite geometric series, calculating threshold values, and statistical models of the spread of disease. How many makes it an...
Curated OER
Parts of a Circle
In this geometric shapes worksheet, students respond to questions that require them to identify chords, radii, diameters and centers of 4 circles.
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