Interpreting algebraic expressions is a fundamental skill in beginning algebra. This instructional activity approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between...

Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...

Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.

What did the triangle say to the circle? You're pointless! Class members will get the point when they investigate relationships between side lengths of a triangle using the Triangle Inequality Theorem. Pupils then create an...

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...

Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...

In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...

The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...

How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...

Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...

Connect scientific notation to a real-life situation. Measuring distances in our solar system require large numbers. As pupils make conversions using these large numbers, they begin to see the necessity of scientific notation. They...

Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...

Students solve problems with fractions without using a calculator. In this algebra lesson plan, students practice reducing, converting, adding, subtracting and multiplying fractions. They apply the use of fractions to the real world.

Students calculate distance and proportion of objects. For this algebra lesson, students define proportion and how it is used in math. They solve the problem through guided instruction.

Seventh graders conduct an investigation into the design of bridges and their construction. Students design bridges and draw detailed plans. For assessment they construct a model of a bridge that is made entirely of toothpicks. Students...

It's time to investigate patterns! First and second graders construct a paper weaving using a hundreds chart, then use the Ti-10 calculator to make patterns such as adding 3 each time. Learners remove multiples of three from the hundreds...

How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...

Money, money, money. A complete lesson that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....