50 results
High school precalculus laboratory pdfs
Polar Graphs Investigation
Students will investigate circles, rose curves, limaçons, and lemniscates. They will note observations based on patterns they see. Instructions for setting up various calculators (TI, Geogebra, and Desmos) are included.
Subjects:
Grades:
11th - 12th
Types:
Rotational Inertia of a Roll Of Masking Tape Lab - Honors or AP Physics
Determining the Rotational Inertia of a Roll of Masking TapeThis activity is designed for Honors or Advanced Placement Physics and can be done with nothing more than ordinary lab equipment - meter sticks, a balance, and an inclined plane (I use foam core science fair boards) and slow motion video capture software. I use Technique Hudl as an app. It’s free, easy to learn and collects data beautifully but you can use any slo-motion app you'd like or even use a stop watch though your data won't be
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Projectile Motion Video Analysis Jericho Missile Iron Man
Students love this activity and it changes how they look at movies and at the physics in film. Video analysis is a powerful tool in a physics class and your students will look forward to the next one.
I created this teacher driven activity around a short clip from the first Iron Man movie that is available on YouTube. You can use this in any level of physics class where students use the sine, cosine and trig functions, even if they aren’t very good at it. Because you drive the analysis, thi
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Trig Bundle
This bundle includes: Radian & Degree Measures Vizual Notes and KeyRight Triangle Trigonometry Vizual Notes and KeyA Minimalist’s Unit Circle and a “Table of Nine” Translating Periodic Functions Vizual Notes and KeyGraphing Reciprocal Trig Functions including a splash page with a link to a Desmos activity and key.Graphing Sines and Cosines Investigation (typically taught before graphing reciprocal trig functions but included last due to page orientation)Also, don’t miss Trig Functions of Sp
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Area of Polar Regions Coloring Page Activity / Project Calculus II / BC
Help students explore area between polar curves using this coloring page activity. This activity can easily be turned into a project for students to complete on their own or an in-class activity. This activity covers AP Calculus BC Topics9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve9.9 Finding the Area of the Region Bounded by Two Polar CurvesThis activity includes two interactive coloring pages and an extensive key that maps how to find the area of each region
Subjects:
Grades:
10th - 12th
Types:
Introduction to Visualizing & Graphing Sine & Cosine Using Pretzels Exploration
Help students make connections while introducing the graphs of sine and cosine using mini pretzel sticks or equivalent manipulatives. Within this lesson, students will be able to interact with both the sine and cosine graphs using manipulatives such as string and pretzel sticks as they form a tactile graph in groups or individually. A thorough instruction sheet is provided to ensure all students are equipped to create their own pretzel graph. You can also substitute spaghetti, straws toothpicks
Subjects:
Grades:
10th - 12th
Types:
Trig Treasure Map Activity - Precalc Solving Triangles w/ Bearings & Directions
Help your students understand the concept of navigation using trigonometry. This lesson gives students adequate exposure navigational tools such as trig bearings and directions. Not only that, but it offers an excellent opportunity for enrichment through the challenge problem which is tiered into two difficulty levels - guided and unguided. Your students will love being able to make their own treasure maps while also learning key trig concepts such as finding missing side lengths using sine and
Subjects:
Grades:
10th - 12th
Types:
Alg 2 - Finding Zeros and Points of Intersection on a Graphing Calculator
This activity is broken into seven parts. Part I: Guides students in noticing that the trace key may not locate the x-intercepts (zeros) but shows them that there is another way x-intercepts can be found. Part II: Illustrates that there are algebraic techniques that can be incorporated in finding zeros.Part III: Shows student show to use a built-in feature to find x-intercepts or zeros.Part IV: Investigates how tables can be used to find x-intercepts and/or points of intersection. Part V: Chall
Subjects:
Grades:
10th - 12th
Types:
Trigonometric Functions on the Graphing Calculator - An Exploration
This activity sheet engages students in studying the general trigonometric equation y = a + b cos(cx) and making statements about the period, amplitude, y-intercept, and x-intercepts. After developing ideas with the cosine function, students make conjectures about similar sine graphs and then make a prediction of how a cosine graph would be changed to produce a particular graph.
Subjects:
Grades:
10th - 12th
Types:
Transforming Sine & Cosine Graphs - Practice / Lesson / Worksheet
Help students learn how to graph all the transformations of the sine and cosine graphs using this interactive practice guide. The practice includes how to adjust the graph's period, amplitude, midline, phase shift and strategies for coming up with a proper scale for each tick mark on the x-axis. A comprehensive answer key is included in the packet along with some sample strategies to teach to students if needed. This lesson corresponds to AP Precalculus Sections 3-4, 3-5 and 3-6
Subjects:
Grades:
9th - 12th
Also included in: Transforming Sine, Cosine, Tangent, Secant, Cosecant, Cotangent BUNDLE
Graphing Sine & Cosine Investigation
Students learn so much when they discover the patterns in mathematics. This Geogebra investigation asks students to play with the values of a, b, c, and d in f(x) = a sin(bx – c) + d and g(x) = a cos(bx – c) + d individually to see the effects they have on the graphs of both sine and cosine.Students should have plotted the parent functions by creating a table of values prior to this investigation. These Vizual Notes are a great summary assignment following this investigation.If you are looking
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Guided Exploration: Trig & Inverse Trig Functions
35-item teacher-lead inquiry into properties and behavior of Trigonometric/Inverse Trigonometric Functions. Best used at the beginning of a unit on trigonometric/inverse trigonometric functions (before demonstrating how to solve textbook problems), this activity invites students to use inductive reasoning and class discussion to discover the big ideas behind graphing trigonometric/inverse trigonometric functions without a graphing utility.
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Vertical Motion Mouse Trap Project
Students will create mouse trap catapults from mouse traps, craft sticks, plastic spoons and duct tape. Students will launch ping pong balls and record initial height, time and distance for 9 trials. They will then find the average air time and average distance. Next, they will substitute in their average time (t), initial height (c), and end height (h) into the equation h=-16t² + vt + c and solve for v, for each of the 9 trials & average. Once they have their initial velocity they substitu
Subjects:
Grades:
9th - 12th
Types:
Rational Functions Asymptotes Investigation Task
Help your students discover the patterns of horizontal asymptotes in this interactive rational functions math lab!
Students explore the three "cases" for horizontal asymptotes in rational functions.Students use the desmos calculator to discover the patterns that govern horizontal asymptotes, and extend their knowledge to understand how to find slant asymptotes.
Students then practice recognizing horizontal asymptotes of rational functions by sorting them according to case ( based on the degr
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Alg 1 - Modeling Exponential Growth-Decay on the Graphing Calculator
This is a graphing calculator activity that will engage the students in collecting data on both exponential growth and decay using M&Ms. The graphing calculator is used to create scatter plots and equations that represent both situations from the data collected.In part I the students, after students have collected data using the M&M’s students are guided at entering the data into their graphing calculators. Screen shots guide and assist the students in the calculator steps. When they h
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Guided Exploration: Exponential/Logarithmic Functions
63-item teacher-lead inquiry into properties and behavior of Exponential/Logarithmic Functions. Best used at the beginning of a unit on exponential/logarithmic functions (before demonstrating how to solve textbook problems), this activity invites students to use inductive reasoning and class discussion to discover the big ideas behind graphing exponential/logarithmic functions without a graphing utility.
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Alg 2 - Reviewing Transformations and Families of Functions
This activity engages the students in reviewing transformations on a function such as scalar multiples, vertical and horizontal shifts, and taking absolute value of domains and ranges. In the first part students • Compare the graphs and a set of table values for y=f(x) and y=f(ax). Make a statement about the effect a has on the functions.• Compare the graphs and a set of table values for y=f(x) and y=af(x). Make a statement about the effect a has on the functions.• Compare the graphs and a
Subjects:
Grades:
9th - 12th
Types:
Polynomial Labs (Quadratics, Cubics, etc.) including Catapults!
This lab includes two versions of a catapult lab (calculus based and non-calculus based). Students work in groups to collect data on a ball launched using a catapult. Students create regression equations using a graphing calculator or spreadsheet.
Also included is a painted cubes lab that includes 4 types of functions.
Courses: algebra 1, algebra 2, pre-calculus, calculus
Here are links to my other algebra projects:
Click Here to see my project: Indirect Measurement Labs
Click Here to see
Subjects:
Grades:
8th - 12th, Higher Education, Adult Education
Types:
Alg 1 - Exponential Functions y = k(b^x)
Through this hands-on activity students will use the graphing calculator to study the affects of K and B on the equation y = k(b^x). Students will study exponential functions graphically and numerically.In my store there is an identical activity that uses the function y = a(b^x) rather than y=k(b^x).
Subjects:
Grades:
10th - 12th
Types:
Investigating Graphs Behavior Near Zero
This is a polynomial graphing investigation looking at multiplicities of zeros and what that does to the graph. You will need access to graphing calculators for your students (or you can use desmos.com) and demonstrate the four graphs on the front page. This will have the students look at four different graphs and relate the multiplicities with whether the graph crosses the x-axis or just touches the x-axis. Then as a conclusion to the investigation they will sketch a rough graph using only t
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Exponential Logarithm Trigonometric Activities and Labs
This project set includes 8 projects that are cooperative learning, hands-on labs. Students collect data that fit exponential, logarithmic, or trigonometric patterns. Students will create equations from the data and use the equations to make predictions. Many of the equations students create will be through the regression process on graphing calculators or spreadsheets.
classes: algebra 2, pre-calculus, calculus, applied math
Here are links to my other algebra projects:
Click Here to see m
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education
Types:
Ellipse Investigation
Students use Geogebra to learn key ellipse vocabulary. They discover the relationship between the equation and the center and learn about the lengths of the major and minor axes. They use this information to predict and equation of a graphed ellipse and graph one based on its equation. They also make predictions about the foci.This is a great way to break away from telling about to discovery of key vocabulary.This product pairs well with Ellipses (Conics) Vizual Notes.It's also now bundled in my
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Lab - Exponential functions: Doubling times and growth rates
This is a lab that I have used for years to teach my students about exponential functions. It is quite large, and I usually assign it as a major project. If a student can work through the entire lab on his or her own, that student should have no problems with the unit test. I touch on applications from biology, economics, and chemistry; so that the subject doesn't seem like a dry mathematical topic.
Subjects:
Grades:
9th - 12th, Adult Education
Types:
Calculus - Continuity
This activity engages the students in understanding the three parts of the definition for a continuous function at a point by asking a series of questions about several functions.You also might be interested in the Activity Sheet on Continuity and the Intermediate Value Theorem that is available in my store. A recent buyer said "Thank you for providing this resource. I appreciate your time and investment in creating a helpful resource."
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Also included in: Calculus - Continuity Bundle
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