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...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an estimate round...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
EngageNY
Describing the Center of a Distribution Using the Mean
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
EngageNY
The Mean as a Balance Point
It's a balancing act! Pupils balance pennies on a ruler to create a physical representation of a dot plot. The scholars then find the distances of the data points from the balance point, the mean.
Flipped Math
Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
Mathematics Assessment Project
Mean, Median, Mode, and Range
What a find! Here is a instructional activity, designed to meet sixth grade math Common Core standards, that focuses on the calculation of different measures of center for the scores from a penalty shoot-out competition. An independent...
CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
EngageNY
Sampling Variability in the Sample Mean (part 2)
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
EngageNY
Describing Distributions Using the Mean and MAD II
The 11th lesson in the series of 22 is similar to the preceding lesson, but requires scholars to compare distributions using the mean and mean absolute deviation. Pupils use the information to make a determination on which data set is...
EngageNY
The Mean Absolute Deviation (MAD)
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean absolute...
EngageNY
Estimating Centers and Interpreting the Mean as a Balance Point
How do you balance a set of data? Using a ruler and some coins, learners determine whether the balance point is always in the middle. Through class and small group discussions, they find that the mean is the the best estimate of the...
Curated OER
Rooting One's Way to Meaning
Discover the Virtual Thesaurus with your class. They use the Virtual Thesaurus to assist them in an inquiry-based approach to discovering the meanings of some common Latin and Greek roots. Each child then teaches a particular root and...
Curated OER
Reinvigorate Your Vocabulary
Eighth graders participate in a variety of activities to examine the meanings and roots of word derivatives and the meanings of words. Using context clues, they determine the meanings of words omitted from a passage and complete a prefix...
Curated OER
Introduce Vocabulary: Letting Swift River Go (Yolen)
If your class is reading Jane Yolen's Letting Swift River Go, explore these vocabulary words in context: faint, quench, remain, and sacred. Before reading the story aloud, acquaint learners with these words briefly. As you read,...
Curated OER
Better Vocabulary Through Derivatives
Learners create a word tree poster that illustrates the way a root word can serve as the basis for many related terms. Although designed for a Latin language class, the concepts here could be used with any class study of Latin or Greek...
Curated OER
Developing Reading Comprehension
Developing reading comprehension is an ongoing process that begins the moment a child becomes engaged with literature. From learning the skills to navigate a picture book to reading an assigned chapter in a chemistry text, good readers...
Curated OER
What's In A Name? British Surnames Derived from Places
Students study how British surnames were derived from locations. They observe that some of the more common names are still prevalent today.
Curated OER
What's In A Name? British Surnames Derived from Occupations or Professions
Students examine British surnames that are derived from family occupations. They investigate some of the more common names that are still prevalent today.
EngageNY
Margin of Error When Estimating a Population Mean (part 2)
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean.
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson plan. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.