Handout
University of California

Student Workbook: Algebra and Functions

For Students 6th - 10th Standards
A smorgasbord of functions, this packet has the basics required for your learners to be successful in the land of early algebra. The packet includes solving equations, graphing, evaluating, simplifying and basically everything else...
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
Lesson Plan
Curated OER

Dilations in the Plane

For Teachers 9th - 12th Standards
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Students extend the concept of dilatation to the coordinate plane.
Worksheet
Lane Community College

Review Sheets: Beginning Algebra

For Students 6th - 9th Standards
This jumbo worksheet contains everything you need to get through Pre-Algebra. Begin with simple expressions, and end with linear functions and polygons. There are multiple problems for each topic to make sure those skills are set. 
Lesson Plan
Curated OER

Statistically Lyrical

For Teachers 9th - 12th
Students examine and discuss the writing of ratios as fractions and where they can be found in the real world. They complete worksheets and a questionnaire, and calculate the mean, median, and mode scores for the class.
Worksheet
Curated OER

Series Review VI

For Students Higher Ed
In this college level calculus worksheet, students use the ratio test to determine if  a seriesconverges or diverges.  The two page worksheet contains six practice problems.  Answers are not included. 
Lesson Plan
Curated OER

Proportionality: Modeling the Future

For Teachers 4th - 8th
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
Lesson Plan
Curated OER

Variations on a Human Face Lab

For Teachers 9th
Ninth graders gain an application level understanding of probability, symmetry, and ratios and rates that exists in one's everyday environment relative to human genetics.
Lesson Plan
Curated OER

Calculating Parts per Million: Do We Have a Problem Here?

For Teachers 9th - 12th
Students calculate ppm and ppb by using unit analysis when given a ratio of amounts. They determine in ppm what constitutes a health risk for a particular toxin given data and whether local health officials should close a lake...
Worksheet
Curated OER

Fractions and Chemistry

For Students 8th - 10th
In this fractions in chemistry learning exercise, students solve 2 problems where they state all the answers as simple fractions or integers. They determine ratios of molecules in gasoline and they find ratio of molecules in the creation...
Lesson Plan
Curated OER

Proportion

For Teachers 9th - 11th
Students investigate proportion and ratio. In this geometry lesson, students set up the ratios of proportions correctly and solve for the unknown. They relate it to word problems.
Lesson Plan
Curated OER

Discovering the Magical Pi

For Teachers 6th - 8th
Students calculate pi using data on the circumference and diameter of various objects. They define key vocabulary terms, measure the circumference and diameter of various circular objects, organize the data on a table or chart, and...
Lesson Plan
Curated OER

Sizing Up the Supersize Croc

For Teachers 6th - 8th
Students examine and compare traits of humans and crocodiles.  In this crocodile lesson students use a ratio to estimate the height of a person and compare that to a crocodile. 
Lesson Plan
Curated OER

The Overlooked Regular Pentagon

For Teachers 10th
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry lesson, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons...
Lesson Plan
Curated OER

Corresponding Parts of Similar Triangles

For Teachers 9th - 12th Standards
Here is a lesson that has learners take a look at corresponding parts of similar triangles, ratios of similarity, reductions and enlargements. They'll manipulate the scale factor (r) to observe the changes in similar triangles and then...
Lesson Plan
Curated OER

Scaling Down Art

For Teachers 7th - 8th
Students change the scale of a work of art using ratios, percentages, and proportions. While this is technically an art lesson, there is quite a bit of mathematics involved in converting to the correct scale.
Worksheet
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Curated OER

Sequences

For Students 9th - 11th
In this algebra worksheet, 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.
Lesson Plan
Curated OER

How can deep-water corals be used to determine long-term patterns of climate change?

For Teachers 9th - 12th
Students explore the concept of paleoclimatological proxies.  In this paleoclimatological proxies lesson, students explain isotope ratios in deep water coral samples.  Students write a paragraph about global climate change as...
Lesson Plan
Curated OER

Amazing Fibonacci

For Teachers 8th - 12th
Students integrate the patterns of Fibonacci into music. In this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...
Lesson Plan
Curated OER

Geometric Sequences and Series

For Teachers 10th - 12th Standards
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...
Lesson Plan
Curated OER

A Fraction of the Possibilities

For Teachers 12th - Higher Ed
Students review the conversion of fractions to decimals, develop strategies to compare fractions perform complex calculations using ratio techniques similar to the construction of fractions.
Lesson Plan
Curated OER

Skittle Math

For Teachers 4th - 5th
In this skittle math worksheet, young scholars sort skittles by color and create a bar graph for each color of skittle. Students also answer comparison, ratio, and relationship questions about the skittles.
Lesson Plan
Curated OER

Animal Skin

For Teachers 7th - 8th
Students investigate the skin surface to body area ratios for different animals.  In this seventh/eighth grade mathematics/science instructional activity, students explore heat transfer between an animal’s body and the...
Lesson Plan
Curated OER

Scaling Our School

For Teachers 4th
Fourth graders practice estimating the length and height of buildings at their school. They then compare their estimations with the actual heights or lengths. Each student then builds a scale model using ratio to translate the "real"...

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