EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
EngageNY
Chance Experiments with Outcomes That Are Not Equally Likely
The fifth portion of the 25-part series introduces probabilities calculated from outcomes that are not equally likely. Class members use tables to calculate probabilities of events, add outcome's probabilities, and find...
Federal Reserve Bank
Savvy Savers
What are the benefits and risks of saving in an interest-bearing account? Pupils explore concepts like risk-reward relationship and the rule of 72, as well as practice calculating compound interest, developing important personal...
Curated OER
Markup and Discount
Seventh graders observe and demonstrate how to calculate markups and discounts including markup percentages and discount percentages. They observe a teacher-led demonstration, then in pairs read scenarios and independently complete...
Education World
Investigating Volume
Explore the concept of volume using unit cubes. Working individually or in small groups, your class measures with a ruler in inches and calculates the volume of various rectangular household boxes (provided by the teacher) and completes...
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
EngageNY
Interpreting Correlation
Is 0.56 stronger than -0.78? Interpret the correlation coefficient as the strength and direction of a linear relationship between two variables. An algebra instructional activity introduces the correlation coefficient by estimating...
UAF Geophysical Institute
Carbon Footprint
Your young environmentalists can calculate their carbon footprint and discuss ways to reduce it with a worksheet about climate change. After reading a handout about what impact one's carbon footprint can have on the environment, kids...
National Sailing Hall of Fame
How a Sailboat Works: Hull Speed and Buoyancy
How can you determine the maximum speed of a sailboat? A sailing presentation included with a straightforward lesson plan prompts learners to calculate the maximum speed of a sailboat with a displacement hull. The...
EngageNY
How Far Away Is the Moon?
Does the space shuttle have an odometer? Maybe, but all that is needed to determine the distance to the moon is a little geometry! The lesson asks scholars to sketch the relationship of the Earth and moon using shadows of an eclipse....
EngageNY
Margin of Error When Estimating a Population Proportion (part 1)
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
EngageNY
Populations, Samples, and Generalizing from a Sample to a Population
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
Teach Engineering
Bone Density Math and Logarithm Introduction
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third instructional activity of seven is devoted to logarithms and their properties.
University of Colorado
Modeling Sizes of Planets
The density of the huge planet of Saturn is 0.7 g/cm3, which means it could float in water! In the second part of 22, science pupils explore the size and order of the planets. They then calculate weight and/or gravity and density of...
Curated OER
Interest Rates
Use a KWL chart and discussion to explore the concept behind loans with interest based on percentage rates. Learners examine different types of interest, the history of interest loans and calculate the costs of a loan over a ten-year...
Curated OER
Measurement and Algebraic Thinking
Comparatively speaking, does a bug travel farther than a human in 10 seconds? Get a bug and measure how far it travels in 10 seconds. Have a human team member run for 10 seconds and calculate the distance ran. Answer the question,"Who...
National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
EngageNY
Probability Rules (part 2)
Ensure your pupils are rule followers! Learners add the addition rule to the set of probability rules examined in the previous lesson. Problems require both the multiplication and addition rule.
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson plan that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with...
EngageNY
Describing Distributions Using the Mean and MAD
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. For this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.