Teacher Notes Understanding that decimals are a continuation of the place value system and numbers tho the right of the decimal represent numbers that are less than one is an important foundational understanding. Students need to understand that fractions and decimals are related; decimals have the same name as the fraction name in tenths and hundredths, and every fraction can be written as a decimal and every decimal can be written as a fraction.

Knowing the relationship between a fraction with a denominator of 10 to another fraction with a denominator of 100 is very important. Student Knowledge Goals

I know that decimals can be written as fractions and fractions can be written as decimals.

I know that fractions with a denominator 10 or 100 are called decimal fractions.

I can generate equivalent decimal fractions.

I can properly name fractions and decimals (e.g., 7/10 and .7 are “seven tenths”).

I can add fractions with like denominators.

I can add decimal fractions.

I know that fractions with a denominator 10 or 100 are called decimal fractions.

I can write decimal fractions as decimals in a variety of situations.

I can show that I understand decimal fractions using a variety of models. Vocabulary

decimal fraction

hundredths

tenths

convert Lessons

__Engage NY Module 6 A-1__ – Use metric measurement to model the decomposition of one whole into tenths.

__Engage NY Module 6 A-2__ – Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.

__Engage NY Module 6 A-3__ – Represent mixed numbers with units of tens, ones, and tenths with number disks, on the number line, and in expanded form.

__Engage NY Module 6 B-4__ – Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.

__Engage NY Module 6 B-5__ – Model the equivalence of tenths and hundredths using the area model and number disks.

__Engage NY Module 6 B-6__ – Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.

__Engage NY Module 6 B-7__ – Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.

__Engage NY Module 6 B-8__ – Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. Student Video Lessons

__Learn Zillion__ – 4.NF.C.5 – Express fractions with a denominator of 10 as equivalent to fractions with denominators of 100

__Learn Zillion__ – 4.NF.C.6 – Decimal notation for fractions with denominators 10 or 100

__Virtual Nerd__ – 4.NF.C.6 – Express a fraction with denominator 10 as an equivalent fraction with denominator 100

__Virtual Nerd__ – 4.NF.C.6 – Decimal notation for fractions with denominators 10 or 100.

__Study Jams__ – Place values for decimals Online Problems and Assessments

MGSE4.NF. 4 a-c

Unit 4

- A Bowl of Beans (a-c)
- Birthday Cake! (a-c)
- Fraction Clues (a-c)
- Area Models (a-c)
- How Many CCs (a-c)
- Who Put the Tang in Tangram? (a-c)
- Birthday Cookout (a-c)
- A Chance Surgery (a, c)
- Fraction Pie Game (a, b)
- How Much Sugar (a-c)
- Fraction Farm (a-c)
- Land Grant (a-c)

Unit 5Teacher NotesUnderstanding that decimals are a continuation of the place value system and numbers tho the right of the decimal represent numbers that are less than one is an important foundational understanding. Students need to understand that fractions and decimals are related; decimals have the same name as the fraction name in tenths and hundredths, and every fraction can be written as a decimal and every decimal can be written as a fraction.

Knowing the relationship between a fraction with a denominator of 10 to another fraction with a denominator of 100 is very important.

Student Knowledge GoalsI know that decimals can be written as fractions and fractions can be written as decimals.

I know that fractions with a denominator

10or100are calleddecimal fractions.I can generate equivalent decimal fractions.

I can properly name fractions and decimals (e.g., 7/10 and .7 are “seven tenths”).

I can add fractions with like denominators.

I can add decimal fractions.

I know that fractions with a denominator

10or100are calleddecimal fractions.I can write decimal fractions as decimals in a variety of situations.

I can show that I understand decimal fractions using a variety of models.

Vocabularydecimal fraction

hundredths

tenths

convert

Lessons__Engage NY Module 6 A-1__ – Use metric measurement to model the decomposition of one whole into tenths.

__Engage NY Module 6 A-2__ – Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.

__Engage NY Module 6 A-3__ – Represent mixed numbers with units of tens, ones, and tenths with number disks, on the number line, and in expanded form.

__Engage NY Module 6 B-4__ – Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.

__Engage NY Module 6 B-5__ – Model the equivalence of tenths and hundredths using the area model and number disks.

__Engage NY Module 6 B-6__ – Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.

__Engage NY Module 6 B-7__ – Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.

__Engage NY Module 6 B-8__ – Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.

Student Video Lessons__Learn Zillion__ –

4.NF.C.5– Express fractions with a denominator of 10 as equivalent to fractions with denominators of 100__Learn Zillion__ –

4.NF.C.6– Decimal notation for fractions with denominators 10 or 100__Virtual Nerd__ –

4.NF.C.6– Express a fraction with denominator 10 as an equivalent fraction with denominator 100__Virtual Nerd__ –

4.NF.C.6– Decimal notation for fractions with denominators 10 or 100.__Study Jams__ – Place values for decimals

Online Problems and Assessments__Khan Academy__ – Questions and Video Lessons

Fractions with denominators of 10, 100, and 1000Add up to 4 fractions with denominators of 10 and 100Add and subtract fractions with denominators of 10, 100, and 1000Graph decimals on number linesGraph fractions as decimals on number linesConvert decimals between standard and expanded form using fractionsConvert fractions and mixed numbers to decimalsConvert decimals to fractions and mixed numbersOnline Games__Decimals & Fractions__

Printables__Decimals & Fractions__

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