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4-N-2-7

Page history last edited by Tashe Harris 6 years, 2 months ago

4.N.2.7 Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.

In a Nutshell

Students will compare and order decimals and whole numbers. The comparisons may involve concrete models, such as base-ten blocks, or written models, such as number lines, and should incorporate students' prior understanding of the place value system.

Student Actions	Teacher Actions
Develop a deep and flexible conceptual understanding by comparing and ordering decimals and whole numbers using concrete, pictorial, and symbolic representations. Develop mathematical reasoning by applying prior knowledge of the place value system to comparing and ordering tasks, and making arguments to justify thinking. Develop the ability to communicate mathematically by sharing comparison strategies and results with peers, using models, in writing, and orally.	Use and connect mathematical representations by modeling the comparison of decimals and whole numbers in a variety of formats. Implement tasks that promote reasoning and problem solving by introducing real-world scenarios which require students to compare and order decimals and whole numbers, providing multiple entry points and allowing for varied solution strategies. Pose purposeful questions by asking students to explain their comparisons and justify their thinking.
Key Understandings	Misconceptions
Whole numbers and decimals can be compared and ordered based on the rules and patterns of the place value system. Whole numbers and decimals can be compared and ordered using various representations (concrete models, number lines, symbols).	A decimal number expressed as hundredths is greater than a decimal number expressed as tenths (.62 is greater than .8 because 62 is greater than 8). The words tens and tenths, or hundreds and hundredths, are interchangeable. The word ‘and’ can be used anywhere when saying a number and has no significance. The use of the word ‘and’ actually signifies the decimal point.