PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
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Spreadsheet Activity
Students create a spreadsheet to match a given sample. This includes adjusting column width and row height, changing alignment, changing size and style of print, changing number format.
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Big Wheels Keep on Turning
Eleventh graders work in groups and investigate how force determines the speed and distance then they view the video, "Math Vantage #7: What's Your Angle?." They are given a real life problem to solve using speed, ramps, angle, incline...
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Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson is designed to be a...
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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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Calculator-Based Lessons Help Examine Real-World Data
Students may determine equations based on graphs and regression models.
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Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
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Getting Out of Line
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
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Charging Up, Charging Down
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
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Oodles of Poodles
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Exploration Sequence of Bounces
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...
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Population Biology
In this population worksheet, high schoolers will compare two population growth graphs and complete four short answer questions. Then students will investigate the factors that influence population growth in 8 fill in the blank...
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Properties of Logarithms
Learners investigate properties of logarithmic function as they add, subtract and multiply logarithms. They graph and analyze the graph for exponential equivalency.
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Students Analyze Data With Scatter Plots
Scatter plot lessons can help students create different types of graphs by hand or with the aid of technology.
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Logarithmic Transformations
Using the TI calculator to visualize and make predictions, students perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
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Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
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TI-Nspire Activity: What Does Your Representation Tell You?
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
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Curve Fitting
Pupils investigate linear, quadratic, and exponential regressions. They plot sets of data points, determine the regression equation that best fits the data and lastly investigate the coefficient of determination.
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Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
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Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Analyze This Function
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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New York State Testing Program: Mathematics Test Book 2
In this mathematics test book, students answer problems dealing with topics covered during the year. They solve problems dealing with percent, probability, properties, and interpreting graphs. This sixteen page worksheet contains...