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Virginia Department of Education
Factoring for Zeros
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.
Curated OER
Input- Output Tables
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.
Curated OER
Graphing and Analyzing
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...
Curated OER
Analyzing Data Sets
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,...
Mathematics Assessment Project
“Ponzi” Pyramid Schemes
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.
Concord Consortium
Broken Spreadsheet I
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...
Curated OER
Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Curated OER
Regroup Ones and Tens
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.
Curated OER
Graphing
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...
Curated OER
The Chain Rule
In this calculus learning exercise, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Curated OER
Equations as Relations
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...
Curated OER
Graphs of Functions
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.
Curated OER
Patterns in Tables
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.
Curated OER
Derivatives of Elementary Functions
In this derivatives activity, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
Curated OER
Graphing Linear Equations
In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.
Curated OER
More with Graphing and Intercepts
In this math worksheet, students graph the equations through recognizing the position of the intercepts. They also create a function table for each.
Inside Mathematics
Graphs (2004)
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...
Illustrative Mathematics
Invertible or Not?
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...
Illustrative Mathematics
Rainfall
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...
Curated OER
Get a Half Life!: Student Worksheet
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,...
Inside Mathematics
Printing Tickets
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...
Illustrative Mathematics
Average Cost
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...
Noyce Foundation
Toy Trains
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...
Agile Mind
Rabbit populations
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...