Treasure Island Tally: Pirate Math Adventure
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we become expert treasure trackers by using different strategies to accurately add and subtract three-digit numbers, while understanding when and how to apply these operations in real-world scenarios?Essential Questions
Supporting questions that break down major concepts.- How can we accurately add and subtract three-digit numbers to solve problems?
- What strategies can we use to ensure our calculations with three-digit numbers are correct?
- How do we know when it is necessary to add or subtract when solving a problem?
- How does understanding place value help in adding and subtracting three-digit numbers?
- What are the real-life applications of adding and subtracting three-digit numbers?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will accurately add and subtract three-digit numbers using various strategies and algorithms.
- Students will understand and apply place value in the context of adding and subtracting three-digit numbers.
- Students will solve real-world problems involving addition and subtraction of three-digit numbers.
- Students will develop strategies to validate their results when adding and subtracting three-digit numbers.
Common Core Standards for Mathematics
Entry Events
Events that will be used to introduce the project to studentsPirate Message in a Bottle
Students find a mysterious bottle washed ashore on 'Treasure Island', containing a cryptic map and math riddles. They must solve 3-digit addition and subtraction problems to uncover the secrets of the map and find the hidden treasure. This setup immediately turns a simple math activity into a thrilling quest that connects directly to calculations needed along their island adventure.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Pirate's Treasure: Place Value Voyage
In this activity, students will embark on a journey to understand the fundamental concept of place value in three-digit numbers. They'll decode pirate messages by correctly identifying the place value of digits in a series of numerical challenges.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA completed section of the treasure map, unlocked by correctly using place value to decode pirate phrases.Alignment
How this activity aligns with the learning objectives & standardsAligns with 3.NBT.A.1 by emphasizing understanding of place value in three-digit numbers.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioTreasure Island Tally: Portfolio Rubric
Place Value Understanding
Assesses understanding and application of place value in three-digit numbers, a fundamental skill for carrying out addition and subtraction effectively.Recognition and Representation of Place Value
Measures accuracy in identifying hundreds, tens, and ones in three-digit numbers and using this knowledge to solve problems.
Exemplary
4 PointsConsistently and accurately identifies and represents hundreds, tens, and ones in three-digit numbers, demonstrating a thorough understanding of place value.
Proficient
3 PointsAccurately identifies and represents hundreds, tens, and ones in most cases, showing a solid understanding of place value.
Developing
2 PointsShows emerging ability to identify and represent place value, with occasional inaccuracies.
Beginning
1 PointsStruggles to identify hundreds, tens, and ones, showing limited understanding of place value.
Application of Place Value in Problem Solving
Assesses the ability to apply place value understanding to decode messages or solve treasure map problems.
Exemplary
4 PointsEfficiently applies place value knowledge to solve complex problems, demonstrating an innovative approach to decoding tasks.
Proficient
3 PointsApplies place value knowledge effectively to solve most problems, demonstrating competence in decoding tasks.
Developing
2 PointsApplies place value knowledge inconsistently, with occasional understanding in problem-solving.
Beginning
1 PointsRarely applies place value knowledge in problem-solving, needing continuous guidance.
Addition and Subtraction Proficiency
Evaluates students' accuracy and fluency in adding and subtracting three-digit numbers, critical for practical problem-solving.Accuracy in Addition and Subtraction
Measures the correctness of addition and subtraction calculations within 1000.
Exemplary
4 PointsPerforms addition and subtraction within 1000 with high accuracy and consistency.
Proficient
3 PointsAccurately performs addition and subtraction within 1000 in most instances.
Developing
2 PointsInconsistently accurate in addition and subtraction, with room for improvement.
Beginning
1 PointsFrequently inaccurate in addition and subtraction, requiring additional support.
Strategic Use of Addition and Subtraction
Evaluates ability to choose when to add or subtract based on problem context.
Exemplary
4 PointsSelects addition or subtraction strategies with precision, demonstrating a clear understanding of problem requirements.
Proficient
3 PointsGenerally selects appropriate strategies for addition and subtraction, showing comprehension of problem scenarios.
Developing
2 PointsStruggles with selecting appropriate operations, showing partial understanding.
Beginning
1 PointsRarely selects appropriate mathematical operations, often needing hints and guidance.
Real-World Application and Problem Solving
Assesses ability to apply mathematical knowledge in solving practical problems through contextually rich activities.Engagement with Mathematical Scenarios
Evaluates participation and performance in real-world themed mathematical scenarios.
Exemplary
4 PointsEngages fully and creatively in scenarios, providing thorough, well-reasoned solutions.
Proficient
3 PointsEngages effectively, offering solutions that display understanding of scenarios.
Developing
2 PointsHas difficulty engaging with scenarios, occasionally solving problems correctly.
Beginning
1 PointsShows minimal engagement, often providing incomplete solutions.
Collaboration and Teamwork
Assesses contributions to group work and teamwork during activities.
Exemplary
4 PointsShows leadership and encourages collaboration, contributing significantly to group success.
Proficient
3 PointsWorks well with others, contributing positively to group activities.
Developing
2 PointsParticipates in group work but offers limited contributions.
Beginning
1 PointsRarely contributes to group tasks, needing continuous encouragement.