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12th grade applied math resources for GATE

Preview of STEM Activity Pi Day ➡️ Packaging Engineer Career Exploration Math Challenge ⭕

STEM Activity Pi Day ➡️ Packaging Engineer Career Exploration Math Challenge ⭕

A STEM activity with a career focus that is great for Pi Day or any time! In this hands-on math challenge, students will be packaging engineers for the day as they determine the best arrangement for a set of circles in the various packages! This 2D STEM challenge is a scaled-down, paper version of what real packaging engineers must accomplish with 3D objects and products. This activity ties in well to Pi Day because the objects are all circles! In a 3D version, these objects could be something l
Preview of My Future Career and Budget ELA PBL

My Future Career and Budget ELA PBL

Created by
Mellie Bee
This is an English Language Arts PBL but can be easily adapted to any elementary school or Math class. Introduce household budgeting with research to make a career choice. Excel Budgeting Spreadsheets have formulas set up to automatically calculate taxes and percentages. Certain cells are formulated to credit and debit amounts. Teach students about the importance of education and choice by using this spreadsheet.Included in this purchase:<PBL Challenge Card<PBL ELA grading rubric <G
Preview of Math Word Problem Templates- CGI + Depth & Complexity Icons

Math Word Problem Templates- CGI + Depth & Complexity Icons

Work Smarter, Not Harder! With this template there are No Excuses because Differentiating is Easy!This Resource Combines Cognitively Guided Instruction (CGI) and Depth and Complexity Icons to reach all your students including Gifted Learners and English Learners.Here's How it Works: 1.Choose Word Problem Template!2.Insert text box and add one word problem but leave out the numbers, leave them blank.3.Differentiate by leveling the difficulty of the number choices below (i.e. approaching, meeting,
Preview of Multiplying Binomials FOIL
1:34

Multiplying Binomials FOIL

Created by
Ocular IQ
In this video, we'll guide you through the process of multiplying binomials using the F.O.I.L method. Each step is color-coded to make the learning process not just easy but also engaging. The F.O.I.L method is an essential tool in algebra, and in this tutorial, we teach it to you for the purpose of introducing Distribution, a key concept in mathematics. By the end of this video, you'll have a solid understanding of binomial multiplication and its relation to distribution. Stay tuned because
Preview of Ciphers and Codebreaking (mini booklet)

Ciphers and Codebreaking (mini booklet)

Created by
Andrew McCartney
Originally written for Algebra 2 students as a fun end-of-year after-testing activity. It's a lighthearted take on the subject but includes some more serious math. This is a 58-page mini-textbook that covers some basic elements of classical cryptography, including Caesar, vigenere, affine, and keyword ciphers, among others. It discusses modular arithmetic, solving algebraic equations with modular arithmetic, and some basic work with prime numbers (coprimes, Ulam's spiral, Mersenne Primes). The b
Preview of Morning Logic Challenges Set 1

Morning Logic Challenges Set 1

This is a set of morning challenges that includes a fun riddle, a challenging math problem, and a Think-a-Gram. The math problems are tricky but doable for gifted elementary student, middle school, or high school students! This also includes the answer key for the teacher as some of the challenges might be tricky! Wakes up their brains in the morning! Take a peek at my other Morning Logic Challenge sets, as well! Don't forget to leave feedback or suggestions!
Preview of Morning Logic Challenges Set 2

Morning Logic Challenges Set 2

This is a set of morning challenges that includes a fun riddle, a challenging math problem, and a Think-a-Gram. The math problems are tricky but doable for gifted elementary student, middle school, or high school students! This also includes the answer key for the teacher as some of the challenges might be tricky! Wakes up their brains in the morning! Take a peek at my other Morning Logic Challenge sets, as well! Don't forget to leave feedback or suggestions!
Preview of Operation Dream House

Operation Dream House

Created by
See Us Learn
In this activity students will design, furnish, and decorate their dream home using the concepts of perimeter, area, and measurement. This project will help build student math skills and create a little fun along the way.
Preview of Differential Equations - Nonconstant Coef. ODEs with Laplace HW and Solutions

Differential Equations - Nonconstant Coef. ODEs with Laplace HW and Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes various nonconstant coefficient ODEs you would need to use Laplace transforms to solve. Each problem is rather large, but all problems comes with detailed solutions showing each step.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Algebra 2 - Factor by Grouping and U-Substitution

Algebra 2 - Factor by Grouping and U-Substitution

This is a nightly homework assignment designed for an Algebra 2 class. It includes problems related to finding roots of higher order polynomials. Only the techniques of u-sub and factor by grouping are used here. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of DISTANCE LEARNING The Million Dollar Inheritance

DISTANCE LEARNING The Million Dollar Inheritance

This highly engaging activity gives students hands on experience with personal financial planning and budgeting. Students work to spend a one million dollar inheritance in the most effective way possible but, just like everything in life, there are rules in how the money can be spent. This project is great for individuals, partners and groups. I also works for students who need additional supports as well as those needing enrichment. As well as providing valuable practice with internet resea
Preview of Power of 10 - Color Coded by Set!

Power of 10 - Color Coded by Set!

Do your students have trouble remembering metric prefixes? Use this fun card game to help them out! Played like the public-domain game "Spoons," but with a scientific twist. Download this deck of 52 cards; thirteen sets from Tera- to femto-, each set representing a metric prefix in four different forms. *THIS VERSION IS COLOR-CODED BY SET.* If you want the more challenging version without color-coding to help students out, see my other product by clicking, Power of 10. The game is easy to lear
Preview of Algebra 2 - One Dimensional Quadratic Inequality HW and Solutions

Algebra 2 - One Dimensional Quadratic Inequality HW and Solutions

This is a nightly homework assignment designed for an Algebra 2 class. It includes problems related to one dimensional quadratic inequalities. For these problems I always encourage students to first find the roots then make a real rough sketch of the quadratic based on the sign of a and the roots. From there they should answer the inequality. Some answers include no real solutions and all real solutions.The assignment comes with detailed solutions in the same pdf so you may have to use a free we
Preview of Algebra 2 - Rational Root Theorem HW and Solutions

Algebra 2 - Rational Root Theorem HW and Solutions

This is a nightly homework assignment designed for an Algebra 2 class. It includes six problems with detailed solutions involving the super important root finding technique called the Rational Root Theorem. The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Algebra 2 - Discriminant Practice HW and Solutions

Algebra 2 - Discriminant Practice HW and Solutions

This is a nightly homework assignment designed for an Algebra 2 class. It includes problems related to the three cases of the discriminant for quadratics. There are both algebraic and graphical discriminant questions.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Algebra 2 - Using Calculator to Approximate Logs and Logarithm Properties

Algebra 2 - Using Calculator to Approximate Logs and Logarithm Properties

This is a nightly homework assignment designed for an Algebra 2 class. It includes problems related to using your calculator to approximate logs. There are also questions where students need to find the decimal solution to various exponential equations which utilize logs to solve. This assignment is given after students have learned log properties and some of these problems use those properties.The assignment comes with detailed solutions in the same pdf so you may have to use a free website lik
Preview of Algebra 2 - Final Exam Log and Exponential Review

Algebra 2 - Final Exam Log and Exponential Review

This is a nightly homework assignment designed for an Algebra 2 class. It includes a review assignment for our log and exponential unit. I use it as a review for the final exam, but it could be used as a review for the unit as well.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Differential Equations - Extra Credit Induction Proof Involving Laplace Transf.

Differential Equations - Extra Credit Induction Proof Involving Laplace Transf.

This is an extra credit assignment I use for my Differential Equation class. It involves a very wild Laplace transform that is actually tied to the Gamma Function. I do not ask students to see that connection, rather I expect them to be able to prove this transform holds using Induction. The problem is very complex and deep, it is a really fun proof and uses some nontrivial Calculus III along the way too. Attached is the problem statement and a very thorough multipage solution.The assignment com
Preview of Differential Equations - Power Series Solutions HW and Solutions

Differential Equations - Power Series Solutions HW and Solutions

This is a nightly homework assignment designed for Differential Equations class. It includes 5 very long and gnarly differential equations to solve. Each problem uses power series solutions to solve. These are some of the trickiest problems students have to solve in their first go around with differential equations. Each problem comes with a thorough solution detailing all steps being taken.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pd
Preview of Differential Equations - Mixed Higher Order ODEs HW and Solutions

Differential Equations - Mixed Higher Order ODEs HW and Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes a mix of problems associated with higher order ordinary differential equations (2+). All versions of the discriminant are assessed on in the solution of the auxiliary equations.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of Differential Equations - Separation of Variables and Int. Factor HW/Solutions

Differential Equations - Separation of Variables and Int. Factor HW/Solutions

This is a nightly homework assignment designed for a Differential Equations class. It includes various differential equations which a student would have to use Separation of Variables or Integration Factor to solve. Knowledge of parts and u sub is required throughout.The assignment comes with detailed solutions in the same pdf so you may have to use a free website like pdfescape to split the solutions from the homework assignment.
Preview of [Math Challenge #69] The SECRET of the Painted Cube!

[Math Challenge #69] The SECRET of the Painted Cube!

DISCOVER THE SECRET OF THE PAINTED CUBE - 4th Grade and Above!! What happens when one giant cube is painted on the surface? How does it effect the number of sides painted on all the other smaller cubes?Please check out my YouTube Channel "Math Challenge" for the SOLUTION! [Math Challenge #69] The SECRET of the Painted Cube!PLEASE SUBSCRIBE to my YouTube Channel! It will give me HUGE MOTIVATION to KEEP GOING :)And if you could LEAVE A REVIEW for my problems, you are my new favorite person ;) But
Preview of [Math Challenge #6] Would Microsoft HIRE a 3rd Grader? Actual Interview Question

[Math Challenge #6] Would Microsoft HIRE a 3rd Grader? Actual Interview Question

This is an actual interview question asked by Microsoft to screen for employment!! Let's ask our 3rd Graders and see if they can understand this LOGIC :) Please check out my YouTube Channel "Math Challenge" for the SOLUTION! [Math Challenge #6] Would Microsoft HIRE a 3rd Grader? (Actual interview question)I would be SUPER DELIGHTED AND HAPPILY EMBARRASSED LOL if you showed my video to your class explaining the solution! I would LOVE to know how the problem worked out for your kiddos :) Any reque
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