Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...

Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...

Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...

Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...

Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...

Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...

These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.

Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...

What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...

Exponentially increase your pupils' understanding of exponents with an activity that asks them to explore the meaning of exponential notation. Scholars learn how to use exponential notation and understand its necessity. They use negative...

Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...

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...

Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...

What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...

Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...

The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.

Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson of a 36-part...

Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...

Pupils analyze a display of data and review dot plots to make general observations about the highest, lowest, common, and the center of the data. To finish, learners match dot plots to scenarios. 

Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...

Students use paper cups and colored chips to observe properties of operations with real numbers. As a class, students brainstorm and use manipulatives to demonstrate associative, commutative, distributive identity and inverse properties....