Problem Based Learning Math
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Christmas Triangular & Tetrahedral Numbers | Math Patterns Project I Grades 6-9
Teachers often struggle to maintain student engagement and academic rigor as the winter holidays approach. How can you combine festive fun with deep mathematical exploration for your 6th, 7th, 8th, and 9th grade students? Unwrap the magic of mathematics this winter season with the Christmas Math Project Triangular Tetrahedral Numbers Pattern Discovery Grades 6-9. This no-prep, project-based resource is your perfect solution for keeping middle and early high school students captivated while deve
6th - 9th
Algebra, Numbers, PreCalculus
CCSS
6.EE.C.9
, 7.EE.B.4
, 8.F.B.4
+1
AP CALCULUS Math Game | Solve Limits by plugging in | High School Activity
Transform your AP CALCULUS classroom with this engaging card game featuring limits solved by plugging in. Make calculus concepts approachable and fun with this interactive game-based learning activity. This deck is a great introduction to Limits ⭐Check out this Math Game: Solve Limits with Factoring & L'Hôpital's Rule ⭐ Scaffolded LearningBeginning students can solve the TOP Problems (Linear Equations) Advancetudents can solve the BOTTOM Problems (Quadratic Equations) Students will pick up a
11th - 12th, Higher Education
Calculus, Math, PreCalculus
Bitcoin: The Math Behind The Money
Bitcoin: The Math Behind the Money – A Story-Driven Math Lesson Unravel the math behind Bitcoin in this engaging, story-driven lesson designed for independent learning! Perfect for high school students, enrichment learners, and project-based studies, this lesson takes students on an interactive journey through real-world mathematics using Bitcoin as a case study. What’s Included?✅ 12-page lesson handout – A fully developed story-driven experience where students follow Mia and Leo as th
9th - 12th
Algebra 2, Financial Literacy, PreCalculus
CCSS
HSN-Q.A.1
, HSA-SSE.B.4
, HSF-IF.B.4
+3
Elliptical Orbits Project (PBL) - Precalculus Conic Sections & Eccentricity
This engaging Project-Based Learning (PBL) activity brings conic sections to life by having students explore how ellipses model real-world orbits. Students select a planet, moon, comet, or satellite and use research to gather key data such as eccentricity and orbital measurements, then create a mathematical model using the equation of an ellipse. They will construct and label a diagram, analyze how eccentricity affects the shape of the orbit, and present their findings through a visual project.
7th - 12th
Algebra, Geometry, PreCalculus
CCSS
HSF-IF.B.4
, HSF-BF.A.1
, HSG-GPE.A.3
+1
AP Calculus Limits (Graphically and Algebraically) Scavenger Hunt Graphs Factor
Incorporating game-like elements makes learning more enjoyable, which can reduce math anxiety and foster a positive attitude towards practicing math concepts. Scavenger hunts are a move around activity involving teamwork, fostering collaboration and communication skills as students work together to solve problems. All questions ask students to calculate the limit of a function, some from a graph and others from an equation. Limits can be solved by direct substitution and students will utilize f
9th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus Unit 2 (Part 1)-Derivatives-Notice/Wonder Graph Worked-Out Example
Introduce a new instructional routine of Notice/Wonder! You can use the Notice/Wonder Routine for your high school math classroom to help students improve their critical thinking skills while previewing or reviewing content material. Pages of thorough explanations are included on how to use this routine in your classroom successfully. This resource, once introduced, can be used in a short chunk of a class as a content brain break, as a review of essential features, or as a preview of topics whil
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Algebra 2 Polynomials Unit Concept Assessment | Performance Assessment
Bring creativity into your Algebra classroom with this engaging Polynomials Unit Concept Assessment! Students will work together to solve a problem in the context of shipping a box at the post office. This math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students will collaborate to understand the problem, create equations and a graph, and start to interpret the context.Individual Assessment: Students will work
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-SSE.B.3
, HSA-SSE.B.3a
, HSA-APR.B.2
+9
Algebra 2 Rationals Functions Unit Concept Assessment | Performance Assessment
Bring creativity into your Algebra classroom with this engaging Rational Functions Unit Concept Assessment! Students will work together to solve a problem in the context of opening a Lemonade Stand. This math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students will collaborate to understand the problem, create equations and a graph, and start to interpret the context.Individual Assessment: Students will work i
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.B.3
, HSA-APR.D.6
+8
Combinatorics I Set Partitions I Bell Numbers I Counting Principles HS (9-12)
This advanced combinatorics project introduces Bell Numbers, set partitions, and the Fundamental Counting Principle. It balances theory, structure, and real-world problem solving. Designed for AP-style reasoning and Grade 9+ accelerated learners, it strengthens discrete math thinking. The resource is classroom-ready, accessible, and engaging. Students explore how counting extends beyond simple multiplication rules. They model and analyze set partitions using structured reasoning. Students
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, PreCalculus
CCSS
HSS-CP.A.1
, HSS-CP.A.2
, HSS-CP.B.7
+3
Algebra 2 Functions Group Quiz | Operations with Functions | Critical Thinking
Get your students collaborating and thinking deeply with this Functions Group Quiz! Designed to reinforce core function skills while also challenging students with a harder, higher-order problem, this quiz encourages both teamwork and critical thinking. Students will work together to: • Evaluate and interpret functions • Apply function notation and operations with functions • Analyze graphs and equations of functions • A multi-step, problem-solving challenge that requires reasoning beyond ro
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7a
, HSF-IF.C.9
, HSF-BF.A.1
+2
Algebra 2 Functions Unit Concept Assessment | Performance Assessment | Desmos
Bring creativity into your Algebra classroom with this engaging Functions Unit Concept Assessment! Students design their own Desmos art project to demonstrate mastery of functions, transformations, intersections, and key features while also building collaboration and communication skills. This digital and editable math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students collaborate to create a cohesive Desmos
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+4
Summation Notation Sigma Notation Task Cards plus Foldable Flip Book
Proficiency with Summation Notation also known as Sigma Notation is a very important skill usually taught in PreCalculus and also in Calculus. This activity is beneficial to students when studying Sequences and Series giving them extra practice and challenging them with with a mix of standard and rigorous questions. Activity Based Learning with Task Cards really does work to help reinforce your lessons. Task and station cards get your students engaged and keep them motivated. Use all at once o
10th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: PreCalculus Curriculum Activity Bundle
Snap Back – A Marvel-Themed Exponentials and Logarithms Project
Snap Back: A Mathematical Mission to Retrieve the Gauntlet An immersive, Avengers-themed project on exponential and logarithmic functions. In this full-unit project, students step into the role of the Avengers’ mathematical strike team as they plan a high-stakes infiltration of Thanos’ lair. Through story-driven missions and decision-making, students apply exponential and logarithmic concepts in rich, meaningful contexts inspired by the Marvel universe. This resource transforms abstract math int
10th - 12th
Algebra 2, PreCalculus
CCSS
HSA-REI.D.11
, HSF-IF.C.7
, HSF-LE.A.1
+3
Design a Packaging to Maximize Volume
📦 Design an Open-Top Box to Maximize Volume: A Phenomena-Based STEM Optimization Challenge (5E Lesson)Turn your classroom into a hub of innovation with this real-world, phenomena-driven STEM project where students investigate a powerful mathematical question: How can we maximize volume while working within real design constraints?In this engaging challenge, students act as engineers tasked with designing an open-top box from a flat sheet of material, using mathematics to determine the most ef
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS, NGSS
HSA-SSE.A.1a
, HSF-BF.A.1
, HSF-LE.A.3
+5
Also included in: STEM Night Expo Bundle
AP Precalculus Exponential Modeling Lab | FRQ 2 Style Cooling Performance Task
Make AP Precalculus exponential modeling feel meaningful, hands-on, and worth the class time with this Holiday Café Cooling Lab! In this Unit 2 performance task, students collect real cooling data from hot water, transform the data by subtracting room temperature, build a vertically shifted exponential decay model, and interpret the model in context.This activity is designed to support AP Precalculus FRQ 2-style non-periodic modeling skills. Students solve for parameters (a) and (b), interpret a
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.6
, HSF-LE.A.2
+2
Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle. A link to an editable Google Doc is included.
9th - 12th, Higher Education
Calculus, Graphing, PreCalculus
AP Precalculus Unit 1 Modeling Project | The Clepsydra Challenge
Bring AP Precalculus Unit 1 to life with The Clepsydra Challenge, a hands-on modeling project where students investigate how the shape of a vessel affects the rise of water.In this real-world investigation, students collect volume-height data, create a graph, analyze changing rates of change, compare wide and narrow sections of a vessel, and connect their results to concavity, domain, range, and mathematical modeling. This project is designed to support conceptual understanding of Unit 1 topics
11th - 12th, Higher Education
PreCalculus
Pi Day Geometry Activity | Archimedes, Polygons & Trigonometry I Grades 8–10
Stop Teaching 3.14. Start Proving Where It Comes From.This advanced Pi investigation goes beyond measuring. Students calculate. Justify. Prove. Designed for Grades 8–10, this activity transforms Archimedes’ method into a rigorous geometry lab. • Students approximate π using inscribed and circumscribed polygons. • They apply the Pythagorean Theorem and the Law of Cosines. • They compare measured and calculated values. • They explain why accuracy improves with more sides. This is not a craft.
8th - 10th
Geometry, Measurement, PreCalculus
CCSS
8.G.B.6
, 8.G.B.7
, HSF-TF.A.3
+1
How Tall Is It? — MYP Mathematics Field Activity | Similar Triangles & Trig
A 75-90 minute outdoor field activity for MYP Mathematics students covering similar triangles and trigonometry (angle of elevation). Students choose a tall object nearby, then find its height twice — once using the mirror method (similar triangles) and once using a clinometer app (trigonometry). They record measurements on labelled diagrams, show full working, and compare both results with a structured reflection. What's included: 6-page print-ready PDF When to use it: After teaching both simila
8th - 10th
Geometry, Measurement, PreCalculus
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