In this algebra instructional activity, learners use the Zero Product Property to solve polynomial equations by factoring.  Application problems are included.  The one page interactive instructional activity contains fifty-four...

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...

The Pythagorean Theorem makes an appearance yet again in this instructional activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this instructional activity are designed for business applications and require complex...

Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...

Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 

What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...

As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...

Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...

Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...

Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.

Everyone loves math when it includes food! This lesson plan tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping students understand this...

For this solving polynomial equations worksheet, 11th graders solve and complete 9 different problems. First, they write each equation in quadratic form. Then, students solve each polynomial equations by applying various quadratic...

In this consecutive numbers worksheet, students determine consecutive numbers in a sequence, solve problems using the quadratic equation, and examine coefficients. This two-page worksheet contains eight problems.

In this algebraic equations worksheet, 9th graders solve 10 different problems that include solving various types of algebraic equations. First, they determine the equation of a line and solve the absolute value of an inequality shown....

In this solving equations worksheet, 11th graders solve and complete 16 different problems by factoring. First, they write the four steps for solving a quadratic equation. Then, students verify each solution to an equation using a...

Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...

Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.

In this quadratic linear systems of equations instructional activity, students solve ten word problems using systems of equations.  The solutions are provided.

In this sequences worksheet, students find the limit of a sequence.  They explore Ulam's sequence.  Students calculate differences for terms in a quadratic sequence.  this four-page worksheet contains approximately 20...