Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.

Young scholars explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this lesson to help them make predicitions and graph data points.

In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...

Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...

Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.

Eighth graders evaluate statistical equations. They examine data from archaeologists at Jamestown, complete statistical equations using the sets of data, and graph the results.

Students represent algebraic patterns in various ways.

Students create a scatter plot of their experimental data. In this algebra lesson, students use M&M's to determine an algebraic model. They discuss results in class.

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...

Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.

Students solve problems by identifying exponential growth and decay and differentiating between patterns, relation and functions. In this algebra instructional activity, students apply concepts of exponential growth to solve problems.

Tenth graders study graphing exponential functions. In this transformations instructional activity, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and...

Young scholars analyze patterns of exponential models by collecting data in paper folding and M&M investigations. They use graphing calculators to create scatter plots that lead to equations for the exponential models. They then...

Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.

In this algebra worksheet, students calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.

Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.

Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...

In this algebra learning exercise, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.

Learners explain why a transiting planet causes a periodic dimming in the light from its parent star. They determine the radius of a planet, and its orbital distance, by analyzing data and manipulating equations. Students compare the...

In this algebra worksheet, students graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.

Students factor trinomials. In this algebra lesson, students identify the different integers making up the trinomial and use the special pattern to factor them. They continue to model the equations and how to factor correctly.

In this algebra worksheet, 9th graders are given the x value of an equation and they must figure out the y value. This assignment is meant for alone time and not group work. There is an answer key.