Problem Based Learning Math
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Problem Based Learning Compose 2D Shapes
Problem Based Learning requires real-world, standards based inquiry that fosters collaborative learning teams and integration.
Here is a PBL task for composing 2D shapes to create composite shapes.
Students use 6 trapezoids to compose enough seating for a Birthday Party that has 18 guests. A floor plan is provided in which learning teams must find various ways to compose the 6 trapezoid tables to allow enough room for food, gifts, cake, and a dance or game area.
1st - 3rd
Geometry, Math
CCSS
1.G.A.2
Concept Based Maths Coordinate Plane Concept Quadrants
This set of concept quadrants targets the concept: Coordinate Plane. Suitable for use in upper Primary/Elementary and lower Secondary/Middle school Mathematics lessons. Concept quadrants are a useful tool for concept formation in a Concept Based Inquiry classroom. In each concept quadrant, three boxes contain an image or word/s that represent the target concept (examples) while the fourth box is different (non-examples). Students are encouraged to look for patterns and make connections to their
4th - 7th
Geometry, Graphing, Other (Math)
CCSS
5.G.A.1
, 5.G.A.2
IB Math:AI HL:Topic 3(Geometry&Trigonometry: AHL3.14-3.16):Graph Theory
This resource covers key concepts from Graph Theory, including Chinese Postman Problem and Traveling Salesman Problem, aligned with IB Math: Applications and Interpretation HL (AHL3.14–3.16). It includes: Example questions from the Oxford and Haese textbooks Scaffolded investigations to promote student inquiry A dedicated TOK activity linking mathematics to real-world thinking Reflection and inquiry prompts after each section to deepen understanding Perfect for in-class instruction, designed t
11th - 12th
Geometry
Food Truck PBL - Mini Unit
In this project-based learning unit, students design, build, and run their own food truck business. Using geometric nets, students construct a 3D food truck and interior equipment, calculate surface area, and apply math to real-world business decisions. Students also explore financial literacy by researching ingredient costs, setting prices, simulating sales, and analyzing profit. This PBL is part of a larger Carnival-Themed unit that will be posted soon!
4th - 7th
Basic Operations, Financial Literacy, Geometry
CCSS
4.MD.A.3
, 5.MD.C.3
, 6.G.A.4
 +4
Da Vinci Parachute Prototypes -- Hands-on STEM
In this lesson, students solve geometry problems and learn background physics concepts as they build a working model of Leonardo Da Vinci’s parachute. Logic, critical thinking, a bit of Renaissance history, writing and supporting conclusions with details from a source—it’s all here too!
Make this extended lesson a cross-curricular, standards-based mini-unit, or just make it a cool building activity. Pick and choose the level of commitment right for you and your students. With the suggested e
4th - 8th
Engineering, Geometry, Physical Science
American Revolution Math Project: Inquiry-Based Geometry & Fractions Gr. 4-6
Engage your students in a hands-on, inquiry-based learning experience with this comprehensive math project centered around the American Revolution & the IB PYP. Designed for Grades 4–6, this resource integrates historical context with mathematical concepts, fostering critical thinking and collaborative problem-solving. Key Features: Historical Context: Students explore the American Revolution through mathematical scenarios, applying their knowledge to real-world situations. Mathematical Concept
4th - 6th
Fractions, Geometry, Numbers
Scale Illustrations-7th Grade Geometry Scale Factor Art Project
Looking for real-world applications of scale factors? This project combines math, science, and art, making it a perfect fit for your STEAM classroom. In my 7th grade geometry unit, I use the Scale Illustrations Project as an engaging introduction. The students love it, and it’s a fantastic way to bring vibrant color to the classroom walls. Not only does this project introduce scale factors, but it also gives me the opportunity to quickly review the imperial and metric systems before diving deepe
7th
Geometry, Measurement
CCSS, NGSS
7.G.A.1
, MS-ESS1-3
Translation Transformations Worksheets Activities Grades 6 - 8
Translation transformations made easy! This geometry transformations unit includes translation worksheets, coordinate plane activities, and real-world hockey math problems for grades 6, 7, and 8. Perfect for teaching translation rules, coordinate transformations, and geometric translations with engaging, standards-aligned practice. Includes study guides, practice worksheets, real-world applications, and answer keys. What's Included:Teacher Notes: 1 PageStudy Guides:Reflection, Rotat
6th - 8th
Geometry, Graphing
CCSS
8.G.A.1
, 8.G.A.2
, 8.G.A.3
 +1
The Hydraulic Lift Challenge: A Real-World STEM Project (Geometry & Physics)
The Hydraulic Lift Challenge: A Real-World STEM & Engineering ProjectTransform your classroom into an engineering lab! This Project-Based Learning (PBL) resource guides students through the design, assembly, and mathematical analysis of a working hydraulic scissor lift. Perfect for High School students, this project turns abstract concepts like Pascal’s Law and Rhombus Properties into a hands-on, "aha!" moment they won’t forget. 🏗️ THE MISSIONStudents take on the role of Lead Engineers at
9th - 12th
Engineering, Geometry, Physics
A Mathieval Kingdom Fraction and Area Adventure
Step into a world of castles, knights, and royal quests—all while mastering key 3rd grade math skills! In this 8-week Project-Based Learning (PBL) unit, your students will become math adventurers in the Mathieval Kingdom, serving King Areathur and Queen Perimevere as they help design the land, build the castle, and plan a grand feast. Throughout the Adventure students will practice: ⚔️ Multiplication (single and 2x1 digit) Fractions and Equivalent Fractions Area and Perimeter Geometry C
2nd - 4th
Fractions, Geometry, Measurement
Rockin' Rock unit with Prepared Stations: PBL
Unit OverviewStudents investigate the three main types of rocks—igneous, sedimentary, and metamorphic—while exploring the rock cycle and the physical properties of minerals. Through inquiry-based centers, experiments, and STEM challenges, students learn to classify, observe, and test rock samples, developing scientific skills such as observation, data recording, and analysis. Key Components Engage: Students begin with captivating rock mysteries, images, or stories that spark curiosity abou
3rd - 6th
Earth Sciences, Engineering, Geometry
TINKER TASK BUNDLE
TINKER TASKS is a versatile, hands-on resource designed to spark curiosity, creativity, and critical thinking in gifted and high-ability students. Tinker Tasks combine open-ended building prompts with deep thematic connections and student reflection—elevating traditional STEM learning into an inquiry-based, thought-provoking experience. TINKER TASKS encourages self-directed exploration, creative problem-solving, and meaningful reflection through open-ended, standards-aligned challenges. What’s
K - 5th
Engineering, Geometry
TINKER TASKS GRADES 2-3
TINKER TASKS (2-3) is a versatile, hands-on resource designed to spark curiosity, creativity, and critical thinking in gifted and high-ability students. Tinker Tasks combine open-ended building prompts with deep thematic connections and student reflection—elevating traditional STEM learning into an inquiry-based, thought-provoking experience. TINKER TASKS encourages self-directed exploration, creative problem-solving, and meaningful reflection through open-ended, standards-aligned challenges. Wh
2nd - 3rd
Engineering, Geometry
Also included in:Â TINKER TASK BUNDLE
TINKER TASKS GRADES 4-5
INKER TASKS (4-5) is a versatile, hands-on resource designed to spark curiosity, creativity, and critical thinking in gifted and high-ability students. Tinker Tasks combine open-ended building prompts with deep thematic connections and student reflection—elevating traditional STEM learning into an inquiry-based, thought-provoking experience. TINKER TASKS encourages self-directed exploration, creative problem-solving, and meaningful reflection through open-ended, standards-aligned challenges. Wha
2nd - 3rd
Engineering, Geometry
Also included in:Â TINKER TASK BUNDLE
TINKER TASKS GRADES K-1
TINKER TASKS (K-1) is a versatile, hands-on resource designed to spark curiosity, creativity, and critical thinking in gifted and high-ability students. Tinker Tasks combine open-ended building prompts with deep thematic connections and student reflection—elevating traditional STEM learning into an inquiry-based, thought-provoking experience. TINKER TASKS encourages self-directed exploration, creative problem-solving, and meaningful reflection through open-ended, standards-aligned challenges.
PreK - 1st
Engineering, Geometry
Also included in:Â TINKER TASK BUNDLE
ARCHITECTURE & DESIGN MATH Building the Future Through Spatial Reasoning & Algeb
What if math wasn’t abstract… but something you could build, test, and experience? Architecture & Design Math transforms algebra, geometry, and spatial reasoning into a hands-on, real-world experience where students design and construct their own dream structure from the ground up. Instead of memorizing formulas, students use math as a tool to solve meaningful problems, make design decisions, and bring their ideas to life. This is math with purpose. Math that sticks. Math that builds. What Ma
9th - 12th
Algebra, Geometry, Graphic Arts
Lift the Book STEM Lesson - 4th and 5th Grade STEM Activity/Challenge
Lift the Book STEM Challenge | 4th and 5th Grade Beginning of Year STEM Activity with Biblical IntegrationStart your school year with an engaging, easy-to-prep STEM challenge that introduces teamwork, design thinking, and a biblical worldview—all in one activity! In this Lift the Book STEM Challenge, students will use only paper to lift a book up at least 8 inches This challenge promotes critical thinking, problem-solving, and creativity, while also tying in a meaningful biblical character l
4th - 5th
Engineering, General Science, Geometry
NGSS
3-5-ETS1-3
, 3-5-ETS1-1
, 3-5-ETS1-2
Build a Swimming Pool Student Handout and Exemplar
This lesson emphasizes application of geometric modeling in real-world contexts.What’s Included:Student swimming pool design projectSample sketch/modelGrading rubricAnswer keyOptional budgeting extension
8th - 10th
Geometry
Strongest Shape STEM Challenge - Kindergarten and 1st Grade STEM Activity
Strongest Shape Challenge | Kindergarten & 1st Grade STEM Activity with Biblical IntegrationIntroduce your youngest learners to the exciting world of STEM with this hands-on, easy-to-teach challenge! In the Strongest Shape Challenge, students will explore three 3D shapes— cylinders, rectangular prisms, and triangular prisms—and predict which one will hold the most books. Then, they’ll test each shape to discover which design is the strongest and why. This beginning-of-the-year STEM activity bu
PreK - 1st
Engineering, Geometry
CCSS, NGSS
K.G.A.1
, K.G.A.2
, K.G.A.3
 +7
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