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Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
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Transformations and Exponential Functions
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...
Inside Mathematics
Archery
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.
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Algebra 1: Unit 5 Review
In this problem solving instructional activity, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.
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Radical Transformations
Young scholars transform the square root function graphically. For this transforming the square root function graphically lesson, students use their Ti-Nspire to change the a, b, and c values of th square root graph. Young...
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What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Curated OER
Relations, Functions and Equations Worksheet with a Computer Component
In this relations worksheet students solve eighteen problems related to relations, functions, and equations. The first part of this worksheet is designer to be completed with a computer program.
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Chapter 7 Review: Radical Notation
In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
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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...
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Graphing Linear Equations - With Table
Students describe relations and graph linear functions. After studying a geometric shape and a verbal statement, students contrast the differences between the verbal statement and the picture. They determine functions and graph...
Curated OER
Simplifying Expressions
In this simplifying expressions worksheet, students solve and complete 41 various types of problems. First, they simplify each expression and write using exponents. Then, students graph each function and state the domain and range. They...
Curated OER
Linear Equations
In this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
Curated OER
Trigonometry: Worksheet for Test #4
In this trigonometry learning exercise, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given...
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Graphing Square Root and Other Radical Functions
In this instructional activity, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page instructional activity...
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Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Sinusoidal modelling of Canad'a youth cohorts
Students explore the general form of the sine equation. In this trigonometry lesson, students explore the relationship between the changing parameters and the graph of the sine equation. Students use data and a statistical...
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Algebra II Review: Exponential Functions and Logarithms
In this Algebra II review: exponential functions and logarithms worksheet, students solve 19 problems, including making graphs, simplifying and evaluating.
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Functions of Two Variables
For this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
For this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Mapping My Pathway
Eighth graders create career portfolios, speak with the school counselor, and develop and educational plan. Individually, 8th graders discuss career options and how an educational plan can assist them in future goals. They explore...
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My Four to Six Year Plan (My Personal Plan of Study)
Eighth graders examine what they need to do to meet their career goals. They design a four to six year plan for the classes they need to take in high school after listening to high school mentor tell about their experiences with this...