Looking at large numbers can intimidate many young mathematicians. Use Zoe's place value machine to help learners understand the meaning behind each digit in a whole number. After learning about the ones, tens, and hundreds places,...

Here is a clear explanation of decimal place value using batting average as the example. Narrated and animated steps are clicked on so that learners can progress at their own pace. Consider having fifth graders interact with this website...

Do ratios have values? The seventh lesson plan in a series of 29 introduces the value of a ratio. Pupils create associated ratios to a given ratio. They also describe the fraction associated to the ratio as the value of the ratio.

You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...

Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution....

Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...

It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...

Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each...

When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...

Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within...

Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...

What were the virtues and values that helped form America? Pupils watch and discuss a video, read biographies of early Americans, chart the differences between early American religious movements, write journals and letters, draw, and...

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 

Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...

Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...

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...

A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...

Strong opinions come from deeply held values. Young citizens explore the values that are most important to them in a class discussion and activity. As they prioritize a list of values cards that include freedom,...

Prompt class members to find the value of various digits, and to write numbers in standard form and written form. Pupils also round multi-digit numbers to the nearest hundred and thousand.

A five-question interactive focuses on integers and absolute value. A number line shows the distance to aide mathematicians in answering multiple-choice, true or false, and discussion questions.

Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.

Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...

It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...