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AP Precalculus Project | Insulation Design for Energy-Efficient Homes
In today’s construction industry, one of the biggest challenges is ensuring proper insulation to maximize energy efficiency in residential homes. Poor insulation leads to higher energy bills, wasted resources, and uncomfortable living spaces. At the same time, high school students often struggle to see how AP Precalculus concepts apply to real-world challenges. This is where the AP Precalculus PBL: Insulation Design for Energy-Efficient Homes project comes in. This project based learning (PB
9th - 12th, Adult Education, Higher Education
PreCalculus
AP Precalculus Project | Design Challenge for Hurricane Resistance Homes
Every year, communities across the United States face the devastating effects of hurricanes and tornadoes. Families lose homes, neighborhoods are torn apart, and rebuilding becomes a costly challenge. How do we prepare the next generation to solve these real-world problems? The answer lies in education that connects abstract math to applied engineering. The Wind-Safe Homes: An AP Precalculus Design Challenge for Hurricane & Tornado Resistance is a powerful AP Precalculus project that transform
9th - 12th, Adult Education, Higher Education
PreCalculus
Math TEKS Standards Checklist for Precalculus (TX)
This is a Mathematics TEKS Standards checklist for Precalculus on an Excel spreadsheet with 5 columns for data input and separate tabs for the strands. These standards are organized in their separate strands to coordinate lessons. Please see my free file for an example.
9th - 12th
Math, PreCalculus
Also included in: Math TEKS Standards Checklist for All Math High Schools Courses (TX)
B.E.S.T Math Standards Checklist for Precalculus Honors (FL)
B.E.S.T math standards checklist for Precalculus Honors on an excel spreadsheet with 5 columns for data input. These standards are organized in their own sub-domains to coordinate lessons. Please see my free file for an example.
10th - 12th
Math, PreCalculus
Also included in: All of the B.E.S.T. Math Standards Checklists K-12 (FL)
Math SCCCR Standards Checklist for Pre- Calculus Overview (SC)
This is a Math SCCCR Standards checklist for Pre- Calculus Overview on an Excel spreadsheet with 5 columns for data input and separate tabs for the strands. These standards are organized in their separate strands to coordinate lessons. Please see my free file for an example.
10th - 12th
Math, PreCalculus
Reference Sheet Trig Functions
Completed table for six trig functions and radian measure for all angles between 0 degrees and 360 degrees that are multiples of 30 and 45.
Betty Watson
Completed Trig Functions Chart by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
11th - 12th
Geometry, Other (Math), PreCalculus
Unit Circle Memorization Quiz
This product is intended for a Trigonometry/Precalculus teacher to use to quickly generate an "infinite" number of randomized Unit Circle Memorization Quizzes and corresponding Answer Keys!
All you have to do to generate a new quiz is press F9! It's that easy! Make a different quiz for every year, for every day, for every class, or for every row of desks in your room, if you desire.
To make the quizzes as distinguishable as possible for the teacher, I have included 1) a randomized 4 digit qu
10th - 12th
Geometry, Other (Math), PreCalculus
Specialist Mathematics and Mathematical Methods Unit 3&4 overview Year 12 plan
This is a year overview for year 12 Math Methods and Specialist Maths in QLD, Australia. It compromises of Unit 3 and 4 being taught over four terms, starting in year 11 Term 4. I will be uploading a full bundle which includes the term planners, lessons and assessments in the full bundle.
12th
Calculus, Other (Math), PreCalculus
Specialist Mathematics and Mathematical Methods Unit 1&2 overview Year 11
This is a year overview for year 11 Math Methods and Specialist Maths in QLD, Australia. It compromises of Unit 1 and 2 being taught over three terms, allowing for Unit 3 to start in Term 4. I will be uploading a full bundle which includes the term planners, lessons and assessments in the full bundle.
12th
Calculus, Other (Math), PreCalculus
Demonstrate Line Fitting with an Animated Excel File
Simple to use animated Excel file for in class demonstration of Line Fitting using linear regression. Move scroll bars, select option buttons, type numbers, and watch these mathematical concepts come alive. You must use Microsoft Excel that is capable of opening file formats in either .xlsx or .xlsm.
9th - 12th
Algebra, Graphing, PreCalculus
Trig Functions Blank Sheet
Convert radians to degrees and find the six trig functions for each angle that's a multiple of 30 degrees and 45 degrees between 0 degrees and 360 degrees.
Betty Watson
Sin Cos Chart by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
11th - 12th
Geometry, Other (Math), PreCalculus
Synthetic Division or Polynomial Long Division - Google Classroom Ready!
This Polynomial Division activity is formatted through Google Sheets and ready for Google Classroom. 8 problems require a polynomial response.
Problems are already on the sheet. Students should enter their answer in the yellow boxes. They should enter each part of the polynomial separately. The small boxes are for exponents. If their answers are correct, the box will turn green.
When they submit through Google Classroom, you will be able to quickly see a thumbnail to see if students are
10th - 12th
Algebra, Algebra 2, PreCalculus
Polynomial Long Division or Synthetic Division - Google Classroom Ready!
This Polynomial Division activity is formatted through Google Sheets and ready for Google Classroom. 8 problems require a polynomial response.
Problems are already on the sheet. Students should enter their answer in the yellow boxes. They should enter each part of the polynomial separately. The small boxes are for exponents. If their answers are correct, the box will turn green.
When they submit through Google Classroom, you will be able to quickly see a thumbnail to see if students are
9th - 12th
Algebra 2, PreCalculus
Velocity vs. Time Graphs - Area and Slope
This is a daily do now that generates and randomizes the numbers for interpreting velocity vs. time graphs that have constant acceleration. It asks for the acceleration of the car and the distance covered in a time interval. You can make an infinite number of problems with the file due to the randomization. Ideal for daily warm ups and quizzing students on skills aligned to standards.
I focus on one skill a week. Every day they practice the skill at the beginning of class. At the end of the wee
9th - 12th
Calculus, Physics, PreCalculus
Algebra -- An EXCEL spreadsheet that will FOIL binomials
This is an EXCEL spreadsheet I created during a boring inservice day.
I used this spreadsheet to create third, fourth, and fifth degree functions for my students to factor using their graphing calculators. I also discussed end behavior of functions, x and y intercepts, and other characteristics of functions.
I used these functions to discuss nature of roots and synthetic division.
Use this spreadsheet to FOIL binomials together. You can FOIL 2, 3, 4, or 5 binomials together.
You can FOIL binomi
8th - 12th
Algebra, Algebra 2, PreCalculus
Preview Short Limits
Limits III - defines "Derivative", shows how to calculate the Difference Quotient in order to find the slope at any point on a curve, designates a space for presenting more examples and suggests some practice problems.
11th - 12th
Calculus, PreCalculus
A short introduction to Limits
Limits mark the transition from Algebra to the Calculus. This suite can be used as an end of year unit or as a beginning of year unit for Precalculus or Calculus, respectively.
This unit is "short" because it doesn't belabor the lefthand and righthand limit concept and it doesn't present any theorems - just straight concepts with figures and calculations.
Limits are defined, indeterminate forms are examined, slope, tangent and derivative are discussed while antiderivative and definite in
11th - 12th
Calculus, PreCalculus
A Rotation of Axes
At the high end of applied Trigonometry in Analytic Algebra or Precalculus courses we encounter the Rotation of Axes, always with conics. There is a practical use for this technology because it teaches us to interrelate quantities in different frames of reference.
The actual rotation requires significant calculations and the theory is developed by the trigonometric difference and multiple angle formulae. It's always a chore to do one of these rotations - but your students should be aware tha
11th - 12th
Other (Math), PreCalculus
Trigonometry Calculator & Reference Tool – Angles, Ratios, and Triangle Solution
This is a free Microsoft Excel download. Trig calculator. Make trigonometry easy to understand and apply with this Trigonometry Calculator & Reference Tool! This interactive Excel file is perfect for students and educators alike, offering instant calculations for sine, cosine, tangent, and inverse functions. Just input your values, and the spreadsheet does the rest—ideal for solving right triangles, checking homework, or reinforcing classroom lessons. Whether you're teaching high school geometr
PreK - 12th, Adult Education, Higher Education
Algebra, Engineering, PreCalculus
A Brief Encounter with Vectors
This is a brief encounter with vectors: After the nine lessons the student should be able to translate the skills gained herein to other disciplines. Four lessons including review and quiz for both plane and space vectors with a bridge discussion (see the preview) of similarities and differences between 2 and 3 dimensions summarize the unit.
A brief encounter with Vectors by Orrin White is licensed under a Creative Commons Attribution 3.0 United States License.
11th - 12th, Higher Education
Other (Math), Physics, PreCalculus
AP Precalculus Project | Recalculating Military Missions in Real Time
Today’s students crave more than formulas—they want relevance, challenge, and purpose. Traditional math instruction often struggles to connect abstract concepts to real-world application. At the same time, educators are looking for ways to infuse project based learning (PBL) into the AP Precalculus classroom in ways that are rigorous, meaningful, and aligned with curriculum standards. The “Precalculus for Precision: Recalculating Military Missions in Real Time” project solves this challenge by
9th - 12th, Adult Education, Higher Education
PreCalculus
A Geometric Derivation of the Trigonometric angle sum formulas
This is a pictorial derivation of the sine and cosine of the sum of two angles. It has helped us to understand the outcome by actually seeing the quantities in play. And, for our visual students, the concept is solidified.
We suggest that you use this as a handout to accompany your presentation in class.
The verbiage is parsimonius - but we offer some talking points in the Vocabulary section.
AA Geometric Derivation of the Trigonometric angle sum formulas by Orrin White is licensed unde
10th - 12th
Other (Math), PreCalculus
Systems of Equations Random Worksheet Generator! (Math 10C, NRF 10, Math 10)
This excel sheet will randomly generate 20 systems of equations questions along with the answers! This is a great resource if you're looking to come up with a few different versions of a worksheet for multiple days or different assignments. Easily copy and paste systems into another document for tests and quizzes
8th - 12th, Adult Education, Higher Education
Math, Math Test Prep, PreCalculus
Quadratic Functions - Technology Activity
In this technology lab students will create calculators to solve problems involving quadratic functions. It is broken down into 4 parts. Part 1: Given coefficients a, b , and c of a quadratic function in standard form solve for discriminant, 2 roots, and coordinates of the vertex. Part 2: Given a,h, and k from an equation in vertex form transform the equation to standard form and solve for a,b, and c. Part 3: Given a vertex and another point solve for the a value in the vertex form Part 4: Give
9th - 11th
Algebra 2, PreCalculus
Also included in: All my Algebra2/Precalc Resources
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