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...

One of several presentations of eighth grade sample items looks at the basics of functions. Smarter Balanced sample items for Target E highlights the way function content shows up on the assessments. The presentation contains eight items...

Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.

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.

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 recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In...

Students graph lines using the slope and y-intercept. In this algebra instructional activity, students create data using tables and equations. They use their data to make predictions and draw conclusion.

Young scholars graph non-linear equations. In this algebra lesson, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.

In this nonlinear equations instructional activity, students use iterative methods for solving systems of nonlinear equations. This four-page instructional activity contains eight multi-step problems.

How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...

How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.

Using three set of data that relate temperature to another variable, 10th graders will use graphs, tables, or equations to make predictions about data. Students will identify the relations as linear or non-linear. Students will define...

This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...

Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...

Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...

In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...

Students examine the relationship between two equations. For this algebra lesson, students investigate linear and non-linear relationships between two equations. They discuss functions of graphs, tables and equations by making...

Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...

Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...

Young scholars examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.

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...