Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic...

The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra lesson in a compilation of four uses a series of activities to build the concept of patterns using multiple...

Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.

Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...

Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...

Help your class discover possible patterns in a sequence of numbers and then write an equation with a instructional activity that covers sequence notation and function notation. Graphs are used to represent the number patterns.

Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...

How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...

Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...

Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...

Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...

Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...

Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...

Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...

Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...

Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.

Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...

Is there a relationship between hand span width and height? Statisticians survey each other by taking measurements of both. A table that can hold data for 24 individuals is printed onto the worksheet, along with questions for analysis....

Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...

Read between the lines to find a solution. Budding mathematicians analyze a situation to solve a problem. They view a video presentation of the problem, brainstorm important information to gather, and write linear equations to find...

How does a bank make money? That is the question at the based of a lesson plan that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest...

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...