Hong Kong House Prices: Reading and Writing Big Numbers
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we use our understanding of place value and multiplication to analyze and compare the diverse world of Hong Kong house prices, and what stories do these numbers tell about the city?Essential Questions
Supporting questions that break down major concepts.- How does place value help us read and write large numbers like house prices?
- How can we use multiplication facts to understand the value of digits in large numbers?
- How do house prices in Hong Kong compare to each other, and what does this tell us about the city?
- How can we use our knowledge of large numbers to discuss and compare house prices effectively?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Understand and apply place value up to 10 million.
- Read, write, and speak large numbers accurately.
- Use multiplication facts to analyze large numbers.
- Compare and contrast house prices using large numbers.
Common Core Standards
Entry Events
Events that will be used to introduce the project to studentsThe Mystery of the Missing Millions
A prominent Hong Kong real estate tycoon reports that millions of dollars have mysteriously disappeared from their property portfolio. Students must analyze property values and financial records to uncover the discrepancy and present their findings to the 'tycoon'.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Hong Kong House Price Explorer
Students will explore the basics of Hong Kong real estate, focusing on understanding place value in house prices.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 chart displaying the properties, their prices in numerical and expanded form, and the place value of each digit.Alignment
How this activity aligns with the learning objectives & standardsAddresses 5.NBT.A.1 by focusing on place value understanding in multi-digit numbers, specifically up to 10 million.Multiplying Our Millions
Students will use multiplication to analyze the value of digits within the house prices, building on their understanding of multiplication facts.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 detailed explanation for each chosen property, demonstrating how multiplication facts help understand the value of digits in large numbers.Alignment
How this activity aligns with the learning objectives & standardsCovers 5.NBT.B.5 as it applies multiplication facts to analyze the value of digits in the context of large numbers.Hong Kong House Price Showdown: Comparing Properties
Students will compare and contrast the prices of different properties in Hong Kong, using their understanding of large numbers and place value.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 comparative analysis report detailing the price difference between two properties, with explanations for the variance.Alignment
How this activity aligns with the learning objectives & standardsReinforces 5.NBT.A.1 by applying place value understanding to compare large numbers (house prices) effectively.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioHong Kong House Price Analysis Rubric
Place Value Understanding
Demonstrates understanding of place value up to 10 million, including reading, writing, and representing numbers in expanded form.Numerical Representation
Accuracy in representing house prices in numerical form.
Exemplary
4 PointsAccurately represents all house prices in numerical form, demonstrating a sophisticated understanding of place value and number structure.
Proficient
3 PointsAccurately represents most house prices in numerical form, demonstrating a thorough understanding of place value.
Developing
2 PointsRepresents some house prices in numerical form with minor errors, showing an emerging understanding of place value.
Beginning
1 PointsStruggles to represent house prices in numerical form, indicating a limited understanding of place value.
Expanded Form
Ability to write house prices in expanded form, showing the value of each digit.
Exemplary
4 PointsWrites all house prices accurately in expanded form, demonstrating a deep understanding of place value and number composition.
Proficient
3 PointsWrites most house prices accurately in expanded form, showing a solid understanding of place value.
Developing
2 PointsWrites some house prices in expanded form with errors, indicating an emerging understanding of place value.
Beginning
1 PointsStruggles to write house prices in expanded form, showing a limited understanding of place value.
Place Value Identification
Ability to correctly identify the place value of each digit in the house prices.
Exemplary
4 PointsCorrectly identifies the place value of all digits in the house prices, demonstrating a comprehensive understanding of the base-ten number system.
Proficient
3 PointsCorrectly identifies the place value of most digits in the house prices, showing a strong understanding of the base-ten number system.
Developing
2 PointsIdentifies the place value of some digits with errors, indicating an emerging understanding of the base-ten number system.
Beginning
1 PointsStruggles to identify the place value of digits, showing a limited understanding of the base-ten number system.
Multiplication Application
Applies multiplication facts to analyze the value of digits within large numbers and explain their contribution to the overall house price.Digit Value Calculation
Accuracy in calculating the value of a specific digit by multiplying it by its place value.
Exemplary
4 PointsAccurately calculates the value of chosen digits in all properties, demonstrating a sophisticated understanding of multiplication and place value.
Proficient
3 PointsAccurately calculates the value of chosen digits in most properties, showing a strong understanding of multiplication and place value.
Developing
2 PointsCalculates the value of chosen digits with some errors, indicating an emerging understanding of multiplication and place value.
Beginning
1 PointsStruggles to calculate the value of chosen digits, showing a limited understanding of multiplication and place value.
Explanation of Contribution
Ability to explain how the multiplication helps understand the digit's contribution to the overall house price.
Exemplary
4 PointsProvides a clear and insightful explanation of how multiplication reveals the digit's significant contribution to the overall house price, demonstrating a deep understanding of number composition.
Proficient
3 PointsExplains effectively how multiplication helps understand the digit's contribution to the overall house price, showing a solid understanding of number composition.
Developing
2 PointsProvides a basic explanation of how multiplication relates to the digit's contribution, indicating an emerging understanding of number composition.
Beginning
1 PointsStruggles to explain the relationship between multiplication and the digit's contribution, showing a limited understanding of number composition.
Comparative Analysis
Compares and contrasts the prices of different properties, using comparative language and explaining potential reasons for price differences.Price Comparison
Accuracy in comparing the prices of two properties using comparative language.
Exemplary
4 PointsCompares the prices of properties accurately and uses sophisticated comparative language, demonstrating a nuanced understanding of number relationships.
Proficient
3 PointsCompares the prices of properties accurately and uses appropriate comparative language, showing a strong understanding of number relationships.
Developing
2 PointsCompares the prices of properties with some inaccuracies or limited comparative language, indicating an emerging understanding of number relationships.
Beginning
1 PointsStruggles to compare the prices of properties accurately or use appropriate comparative language, showing a limited understanding of number relationships.
Explanation of Price Variance
Ability to explain potential reasons for price differences, considering factors like location, size, and amenities.
Exemplary
4 PointsProvides a comprehensive and insightful explanation of potential reasons for price differences, considering multiple factors and demonstrating critical thinking skills.
Proficient
3 PointsExplains potential reasons for price differences effectively, considering relevant factors and showing sound reasoning.
Developing
2 PointsOffers a basic explanation of potential reasons for price differences, considering some factors but lacking depth.
Beginning
1 PointsStruggles to explain potential reasons for price differences, showing a limited understanding of the factors influencing property values.