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- Coordinate Graphing
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- Graphing Quadratic Equations
- Graphing Rational Functions
- Graphing Trigonometric Functions
- Solving Systems of Equations
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Graphing Teacher Resources
Find Graphing educational ideas and activities
The skill set for this lesson is to have learners use tables to generate functions and functions to generate graphs. They work through a series of worksheets with the instructor to determine absolute value, domain, x and y intercept and complete transformations. All of the necessary worksheets and a homework assignment is included.
Start this engaging data analysis study with a review of charts and graphs using the linked interactive presentation, which is both hilarious and comprehensive. Consider projecting it and having volunteers come up to complete various challenges. There are 27 statistics-related vocabulary terms you can use in a word sort (pictures of this are included for reference); put learners in small groups to determine how they would categorize these words. Next, groups use pre-collected data to create a pie chart and bar graph on the linked digital tools. Of course, you can easily have them do this by hand. There is an exit slip included here, as well.
Number lines, inequalities, graphing: sounds like fun in the making! Seventh grade math sleuths solve inequalities and represent the solutions on a number line. This is a complete and well-organized lesson that includes real-world application problems and associated activity sheets.
Looking for a resource that goes beyond just graphing inequalities? Here is one that addresses the need to have learners reason and develop a deeper understanding of the solution set of systems of inequalities. This include writing inequalities, analyzing them algebraically, analyzing them graphically, and also through the use of charts.
Middle schoolers explore the concept of slope in numerous ways and start to look at simple linear equations. They describe the slope in a variety of ways such as the steepness of a line, developing a ratio, using graphs, using similar triangles, and through ordered pairs. This lesson has an amazing collections of great ideas when it comes to exploring slope.
How many yellow Skittles® come in a fun-size package? Use candy color data to construct a bar graph and a pie chart. Pupils analyze bar graphs of real-life data on the Texas and Massachusetts populations. As an assessment at the end of the lesson, they gather sports data from the CNN/Sports Illustrated website to graph. At the beginning of the year, it is helpful to revisit graphing skills with mathematicians and scientists; this is an engaging lesson for doing just that!
The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs, and key points on the graphs, learners determine the advantages of using one form for identifying intercepts and a different form for identifying coordinates of the vertex. In addition to the exploration, the activity includes five exercises in writing a quadratic equation whose graph satisfies certain conditions.
Have your class investigate the properties of exponential functions and transformations with an activity. Practice evaluating exponential functions and graphing by hand and calculator. Discuss the similarities and differences of graphs with different bases and the effects of transformations on the range, intercepts, and asymptotes.
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each function with its corresponding graph and explain the rationale for each match. An additional focus of this activity is to provide exposure to functions that are used in logistic growth models. The exercise can be used for instruction or assessment.
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share activity using an included worksheet as their guide. They get independent practice by examining the proportional measures within a circle. Finally, they complete a homework assignment on the rate of change. For all of these, there is a worksheet provided. You can easily implement this lesson without the calculators as well.
Build comprehension surrounding quadratic functions. Learners follow guided questions and exercises to explore the variables in the quadratic equation. In part a of this worksheet, they identify and describe the role of different parts of a quadratic equation. In the second part, they identify the intercepts and draw the graph of given quadratic equations.
Prairie potholes are dips in the earth that contain water, which is vital to the survival of many prairie inhabitants, including the Mallard Duck. Middle schoolers analyze data on the disappearance of these potholes in relation to the mallard duck population. They are given several passages to read as well as several data tables that show changes to potholes, prairie lands, and duck breeding activity. They will create graphs that show each data table and then discuss the relationships they see through data analysis.
Mathematicians explore number values by completing a fraction activity in class. In this data graphing lesson, learners identify the term rational function and practice converting them into graphs. Then they check their work with the teacher as they continue through the lesson.
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of power functions. To aid them in their exploration, students compute specified function values at key points and find points of intersection of the graphs. The graphs can be sketched by hand or with the use of a graphing calculator.
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a little more direction might be necessary for the games, but would be an easy way to practice graphing online.
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and minimum values in the graph. This two-page worksheet contains detailed notes, examples, and instruction, as well as four problems.
There are several steps needed to graph an inequality, Sal defines each step and expounds on the thinking behind each step in the process. He breaks down what each term represents and how they are satisfied as a point on a graph. This video exemplifies good teaching and could be an asset to both teacher and student.