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Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Proportions
Seventh graders participate in a lesson that focuses on having them solve different proportions. The lesson includes an example that the teacher can work from in order to deliver direct instruction.
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Ratios
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The instructional activity is taught using a table or graph to compare two categories of data.
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Ratios
Sixth graders use ratios to solve unit problems. Pupils write ratios in three different ways. In groups, they perform a bean activity, find ratios, and write them in simplest form.
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Similar Triangles
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
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Investigating Scale Factors with the Geometer's Sketchpad
Students use Geometer's Sketchpad to examine the scale factor when in is applied to the length of a figure's sides. They look at how the scale factor affects the side lengths, perimeter, and area of the figure that result. They work with...
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Understanding Radios
Fifth graders explore ratios. Using models and real-world scenarios, they complete tables and generate comparisons. Pupils demonstrate multiple ways of writing ratios and describe the differences between ratios.
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PrimeTime Math: Cliffbound!
Young scholars are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
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Scale Basketball
Pupils understand that a spreadsheet can be used to find the best scale to use in a model. They place the distances of the planets of the solar system to the Sun in one column of the spreadsheet. Students try different scales so that the...
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Tennis Triangle
Students calculate the height of a tree or flagpole. They measure the shadow of the tree or flagpole and the length of a shadow of a meterstick. Using similar triangles, calculate the heigh. Devise two additional ways in which to measure...
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Playing with Money (From the New Zealand Point of View)
Students explore the exchange rates for five countries. They identify the units of currency of a number of countries. Students convert money amounts accurately from New Zealand dollars to another currency. They graph currency...
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Springy Legs
Fifth graders measure their body height and the height they can jump. They use these measurements in forms of ratios, fractions and decimals to describe their Springy Legs Factors (SLF). Students compare their SLFs to other people's...
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The Patchwork Quilt and Something From Nothing
Students listen to the teacher read the first 26 pages of the story, Something From Nothing, and discuss what predicting means, Students predict how Joesph might remember what his grandfather made him, now that the button is gone. They...
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Golden Connections
Students determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages using...
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Landmark Restoration Project-Scale Model Measurements
Students work in cooperative groups to find the actual measurements of an historical building/landmark. Then they use ratio and proportion to figure the measurements that might be used to create a scale model of the structure.
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Using Variables And Ratios To Get You in the Right Gear
Students examine the use of variable and ratio in everyday situations including figuring out the gear ratios for the gears on a 12 speed bike. They use the bubble sort technique to write a computer program which will determine the...
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Jazz and Math: The Beat Goes On
Students collect real data through listening, counting and timing jazz pieces.They use ratios, rates, and proportions to report collected data and demonstrate an understanding of the concepts of rhythm and tempo in music.
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Least Squares Fit Line
Students estimate the least squares fit line for a set of data. They understand error involved in least square fit lines. They solve application problems using least square fit lines.
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Genes Count
Students view a video that reviews Mendelian genetics. They discuss the Hardy-Weinberg Law and use Popsicle sticks to simulate genetic variations and ratios in offspring.
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Sun, Shadows, Surface Structure...and the Face on Mars
Pupils use light and shadow information to make inferences regarding the three dimensional shapes of specific objects photographed on the surface of Mars. Limitations of the of the data provided are discussed and entries made into the...
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A Planet Full of Animals
Students explore a variety of animals that live on our planet. The shapes, sizes, colors, movements, and coverings of the animals are observed. The similarities and differences in the animals are grouped according to common traits.
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What's Math Got To Do With It?
Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.
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How Big Is a Piece of PI?
Students explore the ratio of circumference to diameter in order to estimate a value for pi.
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All About Ratios
Learners investigate the use of multiplication and division of whole numbers to solve problems including equivalent ratios and rates.