Problems Solving Process
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Programs & methods
Optimization Problems with Constraints – Modeling and Solving Extremum Problems
This comprehensive resource on optimization problems with constraints supports upper secondary students in mastering one of the most application-oriented topics in calculus. Students learn how to translate real-world situations into mathematics by defining objective functions, formulating constraints, and reducing multivariable problems to a single-variable function. Using derivatives, they determine extrema systematically and interpret results within the original context. The material places
9th - 12th
Calculus, PreCalculus
AP Precalculus FRQ 2 – Solving Systems in Modeling Problems
Help your AP Precalculus students master the second key skill required for FRQ 2 modeling problems: solving systems of equations to determine model parameters. This resource builds directly on the process of setting up equations and teaches students how to efficiently determine unknown constants using algebraic techniques and calculator methods. What’s Included ✔ Step-by-step examples for exponential models ✔ Solving logarithmic parameter equations ✔ Solving quadratic systems using a graphi
9th - 11th, Higher Education
Calculus, Math Test Prep, PreCalculus
Complete the Square Activities: Practice the Process
Complete the Square Activities: Practice the Process includes illustrated directions to use Algebra Tiles for equations that are perfect squares and those that are not. Practice problems are included along with two process related activities. A challenge problem requires students to complete the square for the general case. Answer keys are included for all problems and activities.
8th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-REI.B.4b
Vector Applications and Word Problems Workbook (Modeling with Vectors)
Turn vector word problems into a repeatable, reliable process with this Vector Applications and Word Problems Workbook. Students practice the highest-impact real-world contexts— displacement/velocity/acceleration, relative motion (boat in current, plane in wind), and resultant forces/equilibrium—using a consistent modeling routine: Diagram → Vector Setup (components) → Solve → Interpret. The workbook is organized into 4 chapters, each with a short Lesson Overview and 20 exercises (80 tota
11th - 12th
Math Test Prep, PreCalculus
Solving Exponential Equations with a Common Base | Guided Notes & Practice
Master Solving Exponential Equations with Ease!Are your Algebra 2 or Pre-Calculus students struggling with how to rewrite bases? These Solving Exponential Equations Guided Notes provide a structured, step-by-step approach to mastering equations by finding a common base. This resource is designed to eliminate confusion by breaking down the process into 6 distinct types of problems students encounter, ensuring they are prepared for any variation on a quiz or test. This Resource Includes:Compre
10th - 12th
Algebra, Algebra 2, PreCalculus
Solving Right Triangles Flowchart | SOH CAH TOA Poster & Guided Notes
Solving Right Triangles Flowchart | SOH CAH TOA Poster & Guided Notes Help your students confidently decide when to use the Pythagorean Theorem, trigonometric ratios (SOH CAH TOA), or inverse trig functions with this clear, structured flowchart resource. This resource includes both a classroom poster and student-friendly versions to support instruction, review, and independent practice. What’s Included: ✔ 24x18 Classroom Poster Version ✔ Student Version (Black Boxes / White Text)
9th - 12th
Algebra 2, Geometry, PreCalculus
Exponential & Logarithmic Word Problems Workbook (Grades 11–12)
Turn “word problems” into a repeatable process with this Grades 11–12 Algebra 2 / Precalculus workbook focused on real exponential and logarithmic contexts students actually see on tests. The book is organized by topic so you can teach, practice, and assess in clean chunks: growth/decay (solve for time or initial value), interest/investments (solve for rate, time, or amount), and log-scale applications like pH, Richter, and decibels—plus a final unit that trains students to interpret parameter
11th - 12th
Algebra 2, Math Test Prep, PreCalculus
Precal Solving Trig Equations Tarsia Puzzle
Hands on activity- check! Partner work- check! Challenging- check! NO TEACHER PREP- BIGGEST CHECK! This activity is a great way to practice identifying the key features of conic sections, or you can even use this for practicing graphing and identifying the features from a graph! I like these activities because they are challenging, but not intimidating. They could work with a partner, and move their pieces around. If they got stuck, they could move on to something else and use process of elimina
10th - 12th
PreCalculus
Guess Who - Solving Trigonometric Equations
This game is similar to Milton-Bradley's child game 'Guess Who.' The students work trig equations in a multiple choice format to find a clue which details which of the 12 characters are being described; Not wearing a hat, Wearing glasses; No facial hair.... Through the process of elimination, the students should find the correct character. If the students answered some trig questions incorrectly, it will lead them to the wrong character. Sometimes, however, the hardest part of the game is tr
10th - 12th
Algebra 2, Other (Math), PreCalculus
Quadratic Formula to solve for X Intercepts fillable notes and practice w/ KEY
Quadratic Formula to solve for X Intercepts fillable notes and practice w/ KEY Students are shown how to use the quadratic formula to solve for the roots of quadratic functions with fillable templates. These notes point out the discriminant and give a step-by-step process on how to correctly plug in the variables from standard form. Includes practice problems on the back side with a scaffolded template to start off. Students do not explore imaginary numbers in these notes/study guides. Used in H
7th - 12th, Adult Education, Higher Education
Algebra 2, Math, PreCalculus
CCSS
HSA-REI.B.4
, HSA-REI.B.4a
, HSA-REI.B.4b
+10
Logarithms - Solving for an Exponent worksheet and lesson
This worksheet packet will help your students learn how to use logarithms to find the value of a missing exponent in an equation. Click here to SAVE by buying the Logarithms bundle which includes a FREE review and test.Click here to view the accompanying instructional video for this work packet.This helpful packet has five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led examples to explain the basics of logarithmic statements to your class.Extra
11th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-BF.B.5
Also included in: Logarithms Bundle - Free review and test - Videos not included
Keynote: solving systems of equations with 2 variables--real life examples
This is a keynote presentation (PowerPoint for Mac). I use these presentations every day to teach from. Instead of spending all my time writing the problem on the board allow the slideshow to do all the work for you. Using the slideshow will allow you to focus on students instead of writing the problem down. You can edit all of the slides if you want to tailor the lesson to your needs.
The presentation is set up to first explain the process then allowing students plenty of opportunity to p
8th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
Keynote: solving systems of equations with 3 variables
This is a keynote presentation (PowerPoint for Mac). I use these presentations every day to teach from. Instead of spending all my time writing the problem on the board allow the slideshow to do all the work for you. Using the slideshow will allow you to focus on students instead of writing the problem down. You can edit all of the slides if you want to tailor the lesson to your needs.
The presentation is set up to first explain the process then allowing students plenty of opportunity to p
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
Algebra 2 Rational Expressions Culturally Responsive Review Activity
Review solving rational expressions with this twinning activity. Students are partnered up in pairs and each receive a set of 6 problems. Though the problems are different, each partner should get the same answer. The rules are as follows: Partners may not move on to the next problem without having both agreed on the answer.If a partner finishes a problem before the other, they must watch their partner's work and check it for errors as they work.If partners disagree on an answer, they must ex
9th - 12th, Adult Education, Higher Education
Algebra 2, Math, PreCalculus
CCSS
HSA-CED.A.1
, HSA-REI.A.2
, CCRA.SL.1
+1
Determinants of 2x2 and 3x3 Matrices: Interactive Partner Relay Activity
Self-Checking Collaborative Challenge | 20 Problems | Linear Algebra PracticeTransform matrix practice into a high-stakes team mission! This Partner Relay activity is designed to build mathematical accuracy and communication skills as students work together to reach a final target result. 🔹 How the Relay Works:The Chain Reaction: Partner A solves the first determinant and passes the answer to Partner B.The Substitution: Partner B plugs that answer into their own matrix to find a new determinan
8th - 12th
Algebra 2, Math, PreCalculus
Angles of Elevation and Depression: Real Life Applications of Trigonometry
This PowerPoint includes 10 different real-life word problems in which students must use right triangle trigonometry to solve for missing values or angles. The PowerPoint is complete with custom animation so that pieces of the solving process are revealed, as well as the final answer.
I used this PowerPoint as a white board activity. Each student had their own mini white board, and I projected the PowerPoint onto the screen. Students had to draw the picture and solve. (The white boards were gr
10th - 12th
Algebra 2, Other (Math), PreCalculus
Intermediate Algebra: Solve Easy Radical Equations Worksheet 2 with Solutions
Solve Easy Radical Equations Worksheet 2 with Solutions10 Problems Elevate your algebra lessons with our "Intermediate Algebra: Radical Equations Worksheet with Solutions," tailored for educators on Teachers Pay Teachers. This worksheet focuses on simplifying the process of solving easy radical equations, complete with step-by-step solutions and a special emphasis on extraneous solutions. (This worksheet does have extraneous solutions!) Designed for both classroom instruction and homeschool s
12th, Higher Education
Algebra 2, Applied Math, PreCalculus
Logarithmic Equations worksheet and lesson
This worksheet packet will help your students learn how to solve logarithmic equations using properties and quadratics. Click here to SAVE by buying the Logarithms bundle which includes a FREE review and test.Click here to view the accompanying instructional video for this work packet.This helpful packet has five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led examples to explain the basics of logarithmic statements to your class.Extra Practice:
11th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSF-BF.B.5
Also included in: Logarithms Bundle - Free review and test - Videos not included
Functions & Their Graphs WHODUNNIT
In this activity students can work independently or in groups to solve 16 problems about functions and their graphs. After each answer they will receive a clue. After solving the 16 questions, students will determine the "person," "location," and "method" of the mystery using process of elimination. Recording sheet and answer key included! Students must be able to... Identify domain & range from a graphWrite intervals of increasing & decreasingIdentify the end behavior of a functionFind the aver
9th - 12th
Algebra 2, Math, PreCalculus
Completing the Square Smart Notebook Activity
Alberta Curriculum: 20-1 Relations and Functions
This lesson addresses the process for "Completing the Square" in order to address the following outcome:
*Analyze quadratic functions of the form y=ax^2+bx+c to identify characteristics of the corresponding graph, including vertex, domain and range, direction of opening, axis of symmetry, x and y intercepts and to solve problems.
Students will use algebra tiles and the student handout (found in the attachments of the file), guided by the teac
10th - 12th
Algebra, Algebra 2, PreCalculus
Polar & Parametric Equations WHODUNNIT
In this activity students can work independently or in groups to solve 16 problems about functions and their graphs. After each answer they will receive a clue. After solving the 16 questions, students will determine the "person," "location," and "method" of the mystery using process of elimination. Recording sheet, answer key, and worked out solutions included! Students must be able to... Determining symmetry of polar equations (algebraically)Converting coordinates from polar to rectangular and
9th - 12th
Algebra 2, Math, PreCalculus
Completing the Square - Algebra Tiles
Alberta Curriculum: 20-1 Relations and Functions This lesson addresses the process for "Completing the Square" in order to address the following outcome: *Analyze quadratic functions of the form y=ax^2+bx+c to identify characteristics of the corresponding graph, including vertex, domain and range, direction of opening, axis of symmetry, x and y intercepts and to solve problems. Students will use algebra tiles and the student handout (found in the attachments of the file), guided by the teache
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-SSE.B.3a
, HSF-IF.C.7a
, HSF-IF.C.8
Precalculus Practice Problems
This is a file that contain Precalculus practice problems with their solutions. It contain step-by-step process on how to solve precalculus problems. This is an excellent resource for students or teachers. This resource should ideally be used with the following manual: Pre-Calculus I: The Simplified Way. This book can be found on Amazon. Bellow are the topics that covers the book and this resource. CONTENT Algebraic Expressions Rational Expressions Equations Inequalities Coordinate Geomet
10th - 12th, Higher Education
Algebra 2, Math, PreCalculus
Determinant of a Matrix - Matching & PUZZLE Assembling Activity
Determinant of a Matrix: Digital Matching & Puzzle Activity | 2x2 & 3x3 Practice 🧩 Interactive Google Slides | 12 Problems | Self-Checking Challenge!Turn the rigorous process of calculating determinants into an engaging and rewarding puzzle! This digital activity challenges students to solve 2x2 and 3x3 determinants to reveal a charming hidden image. 🔹 What is inside?A 3-slide interactive experience featuring 12 carefully selected problems: 6 Problems: Finding the determinant of 2x2 matrices
9th - 11th
Algebra 2, PreCalculus
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