TEKS 3.2A: Compose and Decompose Numbers
Compose and Decompose Numbers up to 100,000
About this lesson
Learning Target: I can compose and decompose numbers up to 100,000 using models and numbers.
Focuses On:
- Understanding the value of each digit in a number
- Composing numbers based on the combination of place values
- Decomposing numbers into their individual value components in an expression
Builds On:
2.2B:
Use standard, word, and expanded forms to represent numbers up to 1,200
Next Level:
4.2B:
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals
Read More:
This lesson is designed to support student understanding of place value of digits in numbers represented both in standard and expanded form. Students use place value charts and supported expressions to compose and decompose numbers.
The two instructional blocks in this lesson focus on composing and decomposing numbers.
In the first instructional block, students compose numbers by understanding the value of each digit of a number and combining them to create a number in standard form.
The second instructional block focuses on having students use their understanding of place value to decompose numbers by taking them from standard form and putting them into expanded form.
Scaffolds and supports such as models and pictorial representations are intentionally built throughout the lesson to support conceptual learning.
Grade 3MathTEKS 3.2AExpanded Notation and Expanded Form
About this lesson
Learning Target: I can show numbers in expanded notation and expanded form.
Focuses On:
- Understanding the place value of each digit within a number
- Decomposing numbers into expanded form
- Example: 356 = 300 + 50 + 6
- Decomposing numbers into expanded notation
- Example: 356 = (3 x 100) + (5 x 10) + (6 x 1)
Builds On:
2.2B:
Use standard, word, and expanded forms to represent numbers up to 1,200
Next Level:
4.2B:
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals
Read More:
This lesson is designed to support student understanding of the place value of each digit within a number. It reiterates the difference between expanded form and notation, while highlighting the similarities in building the value of the digit.
The two instructional blocks in this lesson focus on expanded form and expanded notation.
The first instructional block has students decompose numbers from standard form into expanded form.
The second instructional block focuses on decomposing numbers from standard form into expanded form and then using expanded notation to write the number.
Scaffolds and supports such as place value charts and supported expressions are intentionally built throughout the lesson to support conceptual learning.
Grade 3MathTEKS 3.2APlace Value Relationships
About this lesson
Learning Target: I understand the relationships in the base ten place value system.
Focuses On:
- Using base ten models to represent numbers through the concept of place value
- Using the place value chart to anchor student understanding of the base ten system
Builds On:
Understanding relationships in the place value system is a new concept at 3rd grade. Students should have foundational place value vocabulary from 2nd grade instruction through standard 2.2B.
Next Level:
4.2A:
- Students interpret the value of each place-value position as 10 times the position to the right and one-tenth of the value of the place to its left
Read More:
This lesson is designed to support student understanding that each place value to the left is 10 times the size of the place value immediately to the right.
The two instructional blocks in this lesson focus on base ten models and place value charts.
In the first instructional block, students use base ten blocks to explore the relationships between the ones, tens, hundreds and thousands places in a number.
The second instructional block focuses on using the place value chart to identify the value of each digit.
Scaffolds and supports such as place value charts and models are intentionally built throughout the lesson to support conceptual learning.
Grade 3MathTEKS 3.2A