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...

Scholars demonstrate their knowledge of root words aqua and aud, and develop vocabulary skills by completing of a chart, handout, and worksheet using creative thinking skills, a dictionary, and a thesaurus.   

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson plan of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square...

Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...

Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...

Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...

Word problems can make even expert mathematicians go blank. Practice solving word problems with an extended version of the GUESS method (givens, unknowns, equations, solve, substitute), which adds the steps of drawing a diagram, making...

Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...

The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...

Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...

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...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson plan that begins with a dropped object example and asks for a solution. This introduction to solving...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...

Sometimes the best way to understand a concept is to break it down. Young vocabulary pupils work with word parts in a hands-on activity that prompts them to connect flash cards with affixes to their root and base words....

So what exactly is a random sample? The 15th part in a series of 25 introduces the class to the idea of selecting samples. The teacher leads a discussion about the idea of convenient samples and random samples. Pupils use a random...

Invite your pupils to do the teaching when it comes to the vocabulary in Pudd'nhead Wilson. Each individual is assigned one word to research in depth and teach to classmates, one pupil at a time.

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...

Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...

Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first instructional activity of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When...