In this distance formula learning exercise, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center,...

Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...

Students explore the concept of transformations.  For this transformation lesson, students use an applet that is an interactive absolute value graph applet.  Students manipulate the applet to examine the change in the function...

Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...

High schoolers use an interactive website or cd rom to graph equations. The lesson plan is not very clearly written. The use of the website is essential or the educational software that can be purchased from the Prentice Hall publisher.

In this algebra worksheet, pupils determine the quadrant a given point is in. They find the midpoints of two line segments. Students plot points to form a triangle and find the distance between points. Pupils find the area of the...

Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...

In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.

In this algebra worksheet, students are guided to choose the best method to solve problems using graphing, factoring, completing the square, and quadratic formula. There are 4 problems with an answer key.

In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.

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...

A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...

Learners factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.

Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    

Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...

Practice solving linear equations by graphing. Scholars learn to solve multi-step linear equations in one variable by graphing both sides of the equation separately. They use graphing calculators to find the intersection of the graphs.

Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...

Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...

The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...

The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....

By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....

High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...