Virginia Department of Education
Graphing Linear Equations
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.
Virginia Department of Education
Determining Direct Variation
Once learners realize what direct variation is, they see it's just a type of linear function. The lesson poses a general question that leads to the creation of the y = kx formula. The resource includes discussion prompts and ideas for...
Curated OER
Worksheet 5: Property Limits and the Squeeze Theorem
In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
Curated OER
What's My Function?
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
Curated OER
Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
Linear Functions-Learn Your Lines
Students solve and graph linear equations. In this algebra lesson plan, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
Curated OER
Exploring Multiplication Functions
Fourth graders investigate the terms "factor" and "product." In this mathematics lesson, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
Curated OER
Patterns, Functions & Algebra
Students participate in numerous activities and games. In pairs, they play card games to find relationships between a random set of playing cards. After writing samples of Dear Abby letters concerning math problems, students create a...
Curated OER
Exploring F function Graphs
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...
Curated OER
Algebra—Quadratic Equations and Functions
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Curated OER
Inverse Trigonometric Functions (Review)
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of...
Curated OER
Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
Curated OER
Graphs of the Sine and Cosine Function
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
Curated OER
Linear and Quadratic Approximations
Young scholars explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Young scholars examine the three graphs as they compare and...
Curated OER
Exploring the Witch of Agnesi
learners construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
Curated OER
y Intercepts
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
Curated OER
Absolute Value and Equations - Week 5
In this absolute value worksheet, learners use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.
Curated OER
Graphing Integers
Fifth graders complete an integer graphing activity. In this integer graphing lesson, 5th graders use coordinate grids to help them complete linear functions and integer graphing.
Curated OER
Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains sixty-six...
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.
Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Curated OER
Building Understanding of Rate of Change/Slopes Using Alice
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Curated OER
Long Distance Phone Plans
In this long distance phone plane worksheet, young scholars compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They...
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