179 results
Free 12th grade precalculus resources for Microsoft Word
Last Man Standing: A Hands-On Activity to Introduce Exponential Functions
This hands-on activity helps students develop an understanding for how to use an exponential function (y=ab^x) to model different situations. This specific activity has students start with 100 squares that are "Alive" and they shake them and drop them every round and count how many squares survive each round. They will eventually develop an exponential function (y=100(0.50)^x) to model the number of squares left as a function of how many rounds have passed. Students will then graph their functio
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Exponential Functions in the Real World Project
This is a great way to end the unit over exponential application and logarithmic application. The students create their own real world situation based around growth/decay data points you assign to them. The download includes
*Teacher instructions, data points with solutions
*Handout to explain the project to students including point breakdown
*A point breakdown for the teacher to use when grading
Great for high preforming Alg 2 PreAP students or all Precal PreAP students.
Subjects:
Grades:
10th - 12th
Types:
Trig Identities and Proofs Worksheet
I use this worksheet in my Pre-Calculus classes to study (as a whole class) for the Trig Proof quiz. In my class, this activity is called "Check Yo' Skills." Students need to
-Write the trig expression as the sine, cosine, or tangent of an angle
-Simplify the trig expression to a single term
-Prove the trigonometric identity
-Find the exact value of each trig expression using a sum or difference identity
-Find all solutions in the interval zero to 2*pi without using a calculator bu giving exact
Subjects:
Grades:
10th - 12th
Unit Circle Exploration
This is an activity to help students visually understand the patterns in the Unit Circle. They will cut out special right triangles and place these on a handout with pictures of the Unit Circle to help them find the missing angles and coordinates. Students will have a deeper understanding of patterns in the Unit Circle, which will help them remember it.
Subjects:
Grades:
9th - 12th
CCSS:
Mathematician Project and Rubric
Cross - curricular project including research, computers, and oral presentation. Includes the rubric for easy grading. Has suggested websites for the kids to use and some famous mathematicians. I recommend partner or small groups for the project.
Subjects:
Grades:
8th - 12th
Types:
Graphs of Sine and Cosine
Students will match 10 graphs to 10 sine or cosine equations by finding the amplitude and period of each function. Students will then identify the amplitude and period of other sine and cosine functions, although they will not be required to graph.
Students can work as a group or by themselves. This is best used as a resource after students have learned how to find amplitude and period, and can also recognize the difference between sine and cosine graphs.
NOTE: There are not vertical or horizo
Subjects:
Grades:
10th - 12th
Types:
Practice with Piecewise Functions
This worksheet includes eight problems with both removable and nonremovable discontinuities. Includes a mix of polynomials, roots, absolute value, and rational functions.
Room to graph each problem is provided.
This worksheet is a great springboard into a conversation about limits and continuity.
Subjects:
Grades:
10th - 12th
Types:
Modeling Tide Heights with Sine Functions Project
This is a project in which students do research on the heights of tides in different parts of the United States for different phases of the moon. Students will write the sine equations that best model these tides, and then graph their displays and answer questions pertaining to their functions and graphs. This project can be used as an in class assignment that is graded or just as an exploration activity. The grading rubric for the assignment is included.
Subjects:
Grades:
9th - 12th
Types:
Absolute Value Transformations and Graphs Scavenger Hunt
This is a scavenger hunt aimed for high school level students. It is an activity where students will practice transformations including translations, dilations, and reflections of absolute value functions. This may be used as practice for graphing absolute functions as well!It is a word document for any type of editing you wish to do.
Subjects:
Grades:
9th - 12th
Types:
Polynomial End Behavior Investigative Task
Guiding by a worksheet, students will sort equations for polynomial functions (which have a picture of their graphs) by Even vs. Odd degrees. Then they will further sort into Positive/Negative leading coefficients. They will develop the rules for what determines the end behavior of the graphs.
Subjects:
Grades:
9th - 12th
Candy Lab: Solving Systems of Equations Using Matrices
This is a hands-on activity in which students will solve systems of three equations with three unknowns using matrices specifically RREF and Cramers rule. Students are given a sealed, opaque bag containing three different types of candies and the total quantity of candies the bag contains. Students are also given access to candies not in their bag to obtain an average weight of an individual candy. They then weigh the bag with the candy and an empty bag to obtain the weight of the total candies
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Factoring Review
24 factoring problems using the following methods: greatest common factor, factoring quadratic trinomials when the leading coefficient equals 1 and when it is greater than 1, factoring four terms by grouping, difference of squares, sum or difference of cubes and perfect square trinomials. The problems are mixed up, requiring students to determine which solving method is most appropriate. Answer key is included on page 3.
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Exploring Inverse Functions
This is an investigation that I use to introduce the big ideas of inverse functions. Students graph a linear function by making a table of values, interchange the x & y values in a table of values and graph the resulting function. When students fold the graph along the line y = x they can see that the two graphs are symmetric. The tactile activity is something that students will refer back to as they study more complicated inverse functions. After graphing the investigation leads the stu
Subjects:
Grades:
10th - 12th
Types:
Exponential and Logarithmic Review Activity
This document is an innovative and fun formative activity to check secondary math students' skills on exponential and logarithmic functions and graphs. Real-world problems and fun and creative questions help the educator determine level of understanding by students.
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Statistics: Interpreting Linear Data Worksheet
Students will use the information given in the scenario of Hours Studied vs Final Exam Score to interpret statistical measures like correlation, coefficient of determination, the standard deviation of residuals, residuals, and slope and y-intercept of the least-squares regression line. They will use the fill-in-the-blank models to help them interpret these measures. Editable worksheet.
Subjects:
Grades:
9th - 12th
Types:
CCSS:
Unit Circle Trigonometry & Art Project
This fun project gets students to think creatively about the unit circle while practicing solving trigonometric equations using special angles.
Subjects:
Grades:
10th - 12th
Types:
Increasing, Decreasing, Domain, Range Graphs
I have made my own graph to help students find where graphs are increasing, decreasing, constant, find values, maximum, minimum, domain, and range.
Subjects:
Grades:
11th - 12th
Types:
Properties of Logarithms Exploration - Matching Cards
Using a calculator, students figure out which expanded logarithmic expression is equivalent to each condensed expression. In doing so, students will discover how properties of logarithms work. There are 4 expanded expressions, but 6 condensed expressions; the remaining two expressions are meant to serve as non-examples that address common misconceptions; for instance, Condensed Expression E, log(8), is meant to trap students who believe log(6) + log(2) = log(8), rather than using their calculato
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Operations with Matrices Worksheet -Editable
This word document worksheet contains the basic operations of matricesaddingsubtractingscalar multiplicationmatrix multiplication solving linear equations with matrices. You can use this as a flipped classroom worksheet. I used this in a certain situation where I had a handful of students in class, taught them the lesson, then the next day I put the class in groups so each group had a student who learned the lesson the day before. That student was in charge of teaching the rest of the group the
Subjects:
Grades:
11th - 12th
Types:
Unit Circle - Blank Worksheet
A blank unit circle for extra practice ;)Paired parenthesis for X and Y valuesBlank spaces above paired parenthesis for degree measurementsBlank spaces on each array for radian measurementsHappy practicing!
Subjects:
Grades:
10th - 12th, Higher Education
Types:
PUZZLE MATH: Mixed Derivatives
This is a small collection of 3 math worksheets on the Calculus topic of derivatives. The worksheets provide instant feedback and fun for the math students because the answers correspond to letters or images that lead to the decoding of secret messages and pictures. They are also self-grading, which makes them ideal for customized treatment of learners. They are tested by multiple teachers, including the author and her colleagues. If you like these, you'll love "PUZZLE MATH: Trigonometry and Log
Subjects:
Grades:
10th - 12th
Transformations Chart
Transformation chart highlights Linear, Absolute Value, Quadratic in vertex form, Radical, Logarithmic, and Exponential functions. Includes all transformations, their rules, how they affect graphing points, and examples. A quick reference for students in Algebra 2.
Subjects:
Grades:
9th - 12th
Types:
Special Angle Practice - Fill-in Chart/Table
Here is a nice free resource that I have always found helpful and hard to find. It is nice for drilling. If anyone has need for a great way to help your students easily remember the special angles in each quadrant, see my video. I will also be updating it the week of 1/30/24.
Subjects:
Grades:
10th - 12th
Types:
Conic Sections: Circles & Ellipses Online Desmos Activity w/ Link in Description
Your students need a computer to complete this activity! Copy the link below and change the document that coincides with the activity for your personal needs.Students explore how the graphs of a circle and an ellipse change with different values. Students also graph circles and ellipses, given for instance the center and radius of the circle or finding the distance between the center and a point that lies on the circle for radius.The end of the document suggests a Khan Academy skill for studen
Subjects:
Grades:
10th - 12th
Types:
CCSS:
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