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EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
EngageNY
The Mathematics Behind a Structured Savings Plan
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...
EngageNY
Why Worry About Sampling Variability?
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
EngageNY
Describing a Distribution Displayed in a Histogram
The shape of the histogram is also relative. Learners calculate relative frequencies from frequency tables and create relative frequency histograms. The scholars compare the histograms made from frequencies to those made from relative...
Curated OER
Nature and Fintess Trail
High schoolers investigate how humans impact the environment and compile an organism database into an e-book field guide. They name muscle groups and develop specific exercises to strengthen these groups. Students utilize technology for...
Curated OER
Correlation
Students investigate correlation coefficients. In this correlation coefficient lesson plan, students explore correlation coefficient calculations. Students research independently by collecting data, calculating the correlation...
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Subtracting Fractions
Students investigate the concept of subtracting fractions. They use a variety of problems in order to practice new skills. The independent practice is used to obtain an informal measurement of mastery with the use of a formal quiz for a...
Curated OER
Investigating Motion
Students determine velocity using the slope of a time distance graph. They investigate a motion cart using a CBR unit and a TI 83 calculator setup. Using the graph generated, they calculate velocity.
Curated OER
Model Sails: Investigating Sails of Tall Ships
Students investigate the dimensions of a full-rigged ship and a schooner. Using the dimesions, they calculate and compare the area of the sails. In groups, they create model sails that require modeling and estiminating using the...
Curated OER
Investigating Density: Heavy Ice
Students end up learning the formula for density and calculate the densities of various materials, and predict if they sink or float.
Curated OER
Investigating Volume
Ninth graders investigate and make conjectures about volume. In this geometry instructional activity, 9th graders analyze data and predict the outcome. They calculate volume using different tiers.
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Investigating the properties of a circle
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
Curated OER
High School Mathematics Problems from Alaska: Investigation of Herring Statistics
Students read complex charts, find measures of central tendency, calculate large numbers, create histograms and box plots. They answer questions using the "Fisherman's Copy" of statistics.
Curated OER
Investigating Division
Pupils develop math sense as they multiply and divide numbers. In this algebra instructional activity, students identify the missing numbers in a multiplication and division problem. They use a calculator to help them solve the problems.
Curated OER
Pythagorean Theorem Investigation
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next instructional activity in the sequence, 8th graders create a song or a story to help them remember the...
Curated OER
Investigation of Pot Sherds
Fourth graders review their prior knowledge on the concept of pi. Using broken pieces of pottery, they calculate the circumference from a section of the circle. In teams, they compete against one another to get the most accurate...
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The Delta Flier
Young scholars make calculations in order to construct a kite in the shape of an isosceles right triangle. For this kite lesson students calculate altitude of their flying kites using a formula.
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Investigations into Estimations
Students gain the powerful tools of estimation, prediction, and averaging and discover the importance these tools have in daily living.
Curated OER
Using A Ruler
Students investigate the concept of measurement and using a ruler with accuracy up to 1/16 of an inch. They practice using measurement with a ruler in different contexts. To help with the presentation of the instructional activity a...
Curated OER
Fraction Song
Students investigate the concept of fractions with the use of a song. The song helps memory for conducting different operations transferring them to long-term memory. A guitar is used to help the students practice the fraction song.
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Fractions Continued
Students investigate the concept of using fractions to solve problems involving rational numbers. They order real numbers on the number line with the classification of fractions. Also students solve problems using the four operations...
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Power Systems and Efficiency - Nuts! Investigation
Eighth graders measure the amount of energy found in different kinds of nuts. They use different types of burners and compare and contrast the efficiency of each. They also calculate an efficiency rating for a butane burner.