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Place Value

Subject focus: Mathematics

Grade: 4

Central Idea:  Model 10-1 value of place value positions in the base ten number system

Essential Question (from Go Math)

How can you use place value to compare, add, subtract and estimate with whole numbers?

Learner Profile Attributes:

Communicators, Thinkers, Risk-takers

Key Concepts:

Form - What is place value? What does it look like?

Function - How does place value affect how we add and subtract numbers?

Connection - How is this understanding relevant in our real lives? - Reading large numbers? Knowing the value of a digit?  Money?

Lines of Inquiry

1. Understanding place value and how it relates to actual value of a number

2. Using what we know about place value to read & write numbers in expanded form

3. How place value helps us compare numbers.

Provocation:  Students will participate in a Real World Math Project

RealWorldPlaceValueMathProjectBasedLearningPopulationResearch-1.pdf

In this project, students will research populations in cities and countries around the world.  They will investigate how to name the numbers and compare them (they may use calculators). Students can work collaboratively.

Learning Activity:

Place value inquiry https://www.inquirymaths.com/home/number-prompts/place-value-inquiry

Using a number line (blank) students will try to rename each segment (in base 10) - Students work collaboratively.

Learning activity:(formative assessment)

Place value activity:  Students will use manipulatives (100 block, 10 block, 1 block) to represent numbers.

Idea for execution of this task:

1. Students use white boards to write a 1-3 digit number.

2. They use manipulatives to represent the number.

3. They write the number in expanded form.

Summative assessment:

Students will make a place value chart in their math notebook naming each digits value and writing it’s expanded form up to any number they choose.

Students share their chart with the class.