Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Organizer
Curated OER

Input- Output Tables

For Teachers 5th - 6th
In this math worksheet, students use 20 empty Input/Output tables for any math function where they are applying a rule to different numbers. There are 4 lines on every table and there is an area to write the rule which is being followed.
Worksheet
Curated OER

Graphing and Analyzing

For Students 9th
In this graphing and analyzing worksheet, 9th graders first state if each graph represents a linear or nonlinear relationship. Second, they create a difference table for each set of data presented and determine whether it represents a...
Worksheet
Curated OER

Analyzing Data Sets

For Students 11th
For this analyzing data sets worksheet, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table. Then,...
Assessment
Mathematics Assessment Project

“Ponzi” Pyramid Schemes

For Students 8th - 9th Standards
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal. 
Assessment
Concord Consortium

Broken Spreadsheet I

For Students 8th - 11th Standards
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Worksheet
Curated OER

Euler's Method

For Students 12th - Higher Ed
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Worksheet
Curated OER

Regroup Ones and Tens

For Students 3rd - 4th
In this addition instructional activity, students add upward 15 2 and 3-digit whole numbers problems. Students complete 3 tables utilizing Algebra functions and answer 2 test prep questions.
Worksheet
Curated OER

Graphing

For Students 9th
In this graphing worksheet, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
Worksheet
Curated OER

The Chain Rule

For Students 12th - Higher Ed
In this calculus learning exercise, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Worksheet
Curated OER

Equations as Relations

For Students 10th
In this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students solve...
Worksheet
Curated OER

Graphs of Functions

For Students 4th - 5th
For this graphs of functions worksheet, students use a table of information on packages of gum/total pieces per package to solve a set of 6 word problems.
Worksheet
Curated OER

Patterns in Tables

For Students 5th - 8th
In this patterns in tables practice worksheet, students sharpen their problem solving skills as they solve 6 story problems that require them to write functions.
Worksheet
Curated OER

Derivatives of Elementary Functions

For Students Higher Ed
In this derivatives activity, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
Lesson Plan
Curated OER

Graphing Linear Equations

For Teachers 6th - 8th
In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.
Lesson Plan
Curated OER

More with Graphing and Intercepts

For Teachers 6th - 8th
In this math worksheet, students graph the equations through recognizing the position of the intercepts. They also create a function table for each.
Assessment
Inside Mathematics

Graphs (2004)

For Teachers 9th - 12th Standards
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Activity
Illustrative Mathematics

Invertible or Not?

For Teachers 8th - 12th Standards
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Activity
Illustrative Mathematics

Rainfall

For Teachers 8th - 12th Standards
Ideal for use as an introduction to the idea of inverse functions, this activity investigates rainfall as a function of time. Learners use the data displayed in a table of values to analyze the function and its inverse, including why the...
Worksheet
Curated OER

Get a Half Life!: Student Worksheet

For Students 6th - 8th
Upper elementary or middle schoolers will explore non-linear functions, graphing, and the curve of best fit through real-life data collection and trial analysis. They explore the concept of half-life and radioactive decay using M&Ms,...
Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Activity
Illustrative Mathematics

Average Cost

For Teachers 8th - 11th Standards
Here is an activity that presents a good example of a function modeling a relationship between two quantities. John is making DVDs of his friend's favorite shows and needs to know how much to charge his friend to cover the cost of making...
Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Activity
Agile Mind

Rabbit populations

For Teachers 8th - 12th Standards
In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...