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...

Writing numbers in expanded form is a great way to practice place value, and here scholars do this with numbers up to six digits. There are two examples to demonstrate the process, and scholars complete four distinct sections to keep...

What is integrity? What are the barriers that could keep a person from acting with integrity? How might these barriers be overcome? Class members tackle these questions as part of a course on Social, Physical, Emotional, Cognitive...

What was the Children's Crusade and how did it impact the civil rights movement in the United States? Your young learners will learn about this incredible event through a variety of instructional activities, from reading a poem and...

OK, or not OK? As part of a study of morals, values, and beliefs, class members engage in a series of activities that help them identify their own moral code.

Transform your instruction with an exploratory lesson! Young scholars manipulate absolute values and quadratic functions to look for transformation patterns. They use the patterns to write general rules of transformations.

A table of each state's record temperature reports data that middle schoolers can place on a number line for analysis. A written explanation of how to use this tool and the concept of absolute value are also included. Nine questions are...

Mia's been practicing for the hundred yard dash and wants to know if she's improving. Help order her race times from greatest to least while learning how to compare numbers using place value. A variety of additional examples are included...

Finally, an electronegativity resource your class will be strangely drawn to! Skilled scientists manipulate interactive puzzles to gain an understanding of common electronegativity values. The great thing? You can conduct the lesson...

It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...

Which one has the most? Each row has three sets of identical objects, and scholars compare the sets to determine which has the most or the least (they find the most for the first four and the least for the last four). One example is...

Students name 3-5 aesthetic values of the Potomac River. They state the importance of water in their own words. Students describe what Earth Day is and why it is important. They list 5-7 ways that they can help minimize water pollution.

Sixth and seventh graders solve and complete 8 different types of problems. First, they multiply and divide by signed numbers. Then, they rewrite any division as multiplication by the reciprocal. Pupils also work out the absolute value...

Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....

Give learners a chance to shine. The last installment of a 21-part series is an end-of-module assessment. Scholars show their understanding of operations with decimals and division of fractions by solving problems in the context of a...

The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...

It is transformational! With the beginning lesson on transformations, pupils learn about vertical and horizontal translations. Scholars see how to graph important points to show the translations and then to write the transformed graph in...

The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...

Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...

State the population of the state. Pupils research census data on the total population, the number of children their age, and the number of children of the same age and gender in their states. They write these numbers in standard,...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 

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...

Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.