Programs Precalculus Project-based Learning Resources
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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
Dodecahedron Trigonometry Task Cards Activity
Wow! How to describe this activity? This is one of my favorite activities of all time!!!Students cut out the faces for the dodecahedron and set them aside. Students did not assemble at this point. They did not know that the questions were labeled to match a position on the faces of the dodecahedron. Nobody asked the connection between the two activities and I didn't offer any hint. Each group got 60 trig questions in task card form. I placed them in small buckets. Questions were chosen by stud
10th - 12th
Algebra 2, Geometry, PreCalculus
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
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
Ramp Design: Real World Trigonometry, Angles of Elevation EDITABLE Google Doc
This 3 page activity is ready to print, or fully customizable with google docs. This content is meant to promote real world applications of mathematics, specifically trigonometry and angles of elevation. Primary student age group 9th - 12th grade Your purchase includes:A three page editable google doc An in-depth answer key
9th - 12th
Geometry, Other (Math), PreCalculus
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
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
Lesson Plan: Parallax and Trigonometry
This lesson engages high school students in understanding how trigonometry is applied to measure distances using the principle of parallax, a key method in astronomy. Students investigate how a shift in viewpoint creates a measurable angle that, combined with a known baseline, forms a triangle. By applying trigonometric functions and small-angle approximations, students calculate distances to objects, simulating the method astronomers use to determine the distance to nearby stars. Through intera
7th - 12th, Adult Education, Higher Education
Anatomy, Geometry, PreCalculus
CCSS, NGSS
HSG-CO.D.12
, HSG-SRT.C.8
, HSS-ID.B.6
+4
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
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
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
Mathematical Induction Proofs: Number Sequences Worksheets for Grades 10-12
Struggling to teach mathematical induction clearly and effectively in Grades 10–12? AP-level proofs can feel abstract and intimidating for many students. Number Sequences Proofs: Mathematical Induction Worksheets is a ready-to-use resource. It helps students understand how induction works and why it works. Students learn more than just the steps. This resource is ideal for AP Calculus, Precalculus, Honors Algebra, and Discrete Mathematics. Students begin with the Domino Effect (Domino Meth
10th - 12th
Algebra 2, Numbers, PreCalculus
CCSS
HSA-SSE.B.4
, HSF-IF.A.3
, HSF-BF.A.1a
+1
AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity
Looking for a meaningful way to help your AP Calculus BC students review challenging concepts while building confidence before the exam? This FREE “Tough Stuff” Project is a student-centered activity that encourages deeper understanding, ownership of learning, and peer teaching—all essential for success in AP Calculus BC. Students identify a concept they find difficult, learn it more deeply, and then teach it in a clear and engaging way. This project is perfect for pre-exam review, post-unit r
9th - 12th
Calculus, Math Test Prep, PreCalculus
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
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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