Teacher Notes Decimal comparisons, like fraction comparisons, are only valid if the whole is the same size. There are multiple ways to compare decimals (place value positions, visual models, estimation) just as there are multiple ways to compare whole numbers.

Students may think that a decimal is the decimal point rather than a number. Students need to understand that the decimal point is a symbol that indicates the location of the ones place and all other subsequent place values in the decimal system. The decimal point separates the whole number amount from a number that is less than one. Student Knowledge Goals I know how to read and write decimals through the hundredths.
I know comparisons are valid when the two decimals refer to the same whole.I can compare two decimals by reasoning about their size.
I can justify conclusions about the comparison of decimals using visual models and other methods.
I can relate a decimal to a whole number.
I can use what I know about fractions to help me compare decimals. Vocabulary

comparison symbols (<, >, =)

decimals

hundredths

tenths

visual models for decimals (grid paper, number line, base ten blocks etc.)

whole Lessons

__Engage NY Module 6 C-9__ – Use the place value chart and metric measurement to compare decimals and answer comparison questions.

__Engage NY Module 6 C-10__ – Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.

MGSE4.NF.7

Unit 5

Teacher NotesDecimal comparisons, like fraction comparisons, are only valid if the whole is the same size. There are multiple ways to compare decimals (place value positions, visual models, estimation) just as there are multiple ways to compare whole numbers.

Students may think that a decimal is the decimal point rather than a number. Students need to understand that the decimal point is a symbol that indicates the location of the ones place and all other subsequent place values in the decimal system. The decimal point separates the whole number amount from a number that is less than one.

Student Knowledge GoalsI know how to read and write decimals through the hundredths.

I know comparisons are valid when the two decimals refer to the same whole.I can compare two decimals by reasoning about their size.

I can justify conclusions about the comparison of decimals using visual models and other methods.

I can relate a decimal to a whole number.

I can use what I know about fractions to help me compare decimals.

Vocabularycomparison symbols (<, >, =)

decimals

hundredths

tenths

visual models for decimals (grid paper, number line, base ten blocks etc.)

whole

Lessons__Engage NY Module 6 C-9__ – Use the place value chart and metric measurement to compare decimals and answer comparison questions.

__Engage NY Module 6 C-10__ – Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.

__Engage NY Module 6 C-11__ – Compare and order mixed numbers in various forms.

__Engage NY Module 6 D-12__ – Apply understanding of fraction equivalence to add tenths and hundredths.

__Engage NY Module 6 D-13__ – Add decimal numbers by converting to fraction form.

Student Video Lessons__Learn Zillion__ – Compare two decimals to hundredths by reasoning about their size

__Virtual Nerd__ – Comparing decimals

__Study Jams__ – Comparing decimals on a number line

Online Problems and Assessments__Khan Academy__ – Questions and Video Lessons

Compare money amountsCompare decimals on number linesCompare decimal numbersPut decimal numbers in orderPut tricky decimals in orderCompare fractions and decimals on number linesOnline Games__Comparing Decimals__

Printables__Comparing Decimals__

Assessment Task 1Assessment Task 2Assessment Task 3Assessment Task 4Assessment Task 5Assessment Task 6Assessment Task 7Performance Task 1