Neft Teacher · Notes Packet

Unit 2 · Standard 6.NS.1

Divide Whole Numbers by Fractions

Lesson 2-2

Name:Date:Class:

Key Vocabulary Level 1 support

Picture first, then the word, then a plain-language meaning. Say each word out loud.

Illustration of Whole Number: A counting number with no fraction or decimal, like 0, 1, 2, 3.

4 is a whole number; as a fraction it is 4/1

Whole Number

A counting number with no fraction or decimal, like 0, 1, 2, 3.

Illustration of Fraction: A number that shows part of a whole, like 3/4.

1/2 means 1 out of 2 equal parts — like cutting a sandwich in half and taking one piece

Fraction

A number that shows part of a whole, like 3/4.

Illustration of Reciprocal: A fraction turned upside down.

The reciprocal of 2/3 is 3/2. Flip the fraction to divide: 6 ÷ 2/3 = 6 × 3/2

Reciprocal

A fraction turned upside down.

Illustration of Keep, Change, Flip: A way to divide fractions: keep the first, change ÷ to ×, flip the second.

6 ÷ 1/3 → Keep 6, Change ÷ to ×, Flip 1/3 to 3/1 → 6 × 3 = 18

Keep, Change, Flip

A way to divide fractions: keep the first, change ÷ to ×, flip the second.

Illustration of Quotient: The answer when you divide.

In 4 ÷ 1/2 = 8, the quotient is 8

Quotient

The answer when you divide.

Key Ideas & Notes

Think About It

  • How much total powder does Agent Park have?
  • How much goes into each bag?
  • Will the number of bags be more or less than 4?

My Notes

Guided Examples

Example 1

What is 6 ÷ 1/3?

Solution: 6 ÷ 1/3 = 6 × 3/1 = 18. There are 18 thirds in 6 wholes.

Answer: A. 18

Example 2

What is 3 ÷ 1/5?

Solution: 3 ÷ 1/5 = 3 × 5/1 = 15. There are 15 fifths in 3 wholes.

Answer: A. 15

Example 3

What is 10 ÷ 1/4?

Solution: 10 ÷ 1/4 = 10 × 4/1 = 40. There are 40 quarter-size pieces in 10 wholes.

Answer: A. 40

Write About the Math The Writing Revolution

I can explain my steps using the words fraction, reciprocal, quotient, and Keep, Change, Flip.

1. Kernel Sentence subject + verb

Model: Whole Number is a counting number with no fraction or decimal, like 0, 1, 2, 3.Número entero es un número de contar sin fracción ni decimal, como 0, 1, 2, 3.

Write a kernel sentence about whole number. Use a subject and a verb.Escribe una oración base sobre número entero. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Whole Number matters in mathNúmero entero importa en matemáticas

Expand the kernel three ways. Add a reason, a contrast, and a result.

becauseporque

Whole Number matters in math because ___.Número entero importa en matemáticas porque ___.

butpero

Whole Number matters in math, but ___.Número entero importa en matemáticas, pero ___.

soentonces

Whole Number matters in math, so ___.Número entero importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about whole number.Di un hecho verdadero sobre whole number.

Whole number ___.

QuestionPregunta

Ask a question about whole number.Haz una pregunta sobre whole number.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about whole number.Muestra entusiasmo sobre whole number.

Wow, ___ !¡Guau, ___ !

CommandMandato

Tell a partner what to do with whole number.Dile a un compañero qué hacer con whole number.

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

___ fits into ___ a total of ___ times.___ cabe en ___ un total de ___ veces.

I know because ___.Lo sé porque ___.

This is useful when ___.Esto es útil cuando ___.

Try It

Solve on your own. Check the answer key when you are done.

1. What is 5 ÷ 1/2?

  1. 10
  2. 5/2
  3. 2.5
  4. 7
Show your work:

2. What is 6 ÷ 2/3?

  1. 9
  2. 4
  3. 12
  4. 2/18
Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

A pizza shop has 8 whole pizzas. Each serving is 2/3 of a pizza. How many servings can they make? Write and solve an equation, then explain why the answer is greater than 8.

Sentence starter: The equation is 8 ÷ 2/3 = ___. Using Keep, Change, Flip: 8 × 3/2 = ___. The answer is greater than 8 because ___.

Show your work:

Reflect — Exit Ticket

What is 9 ÷ 1/3?

  1. 27
  2. 3
  3. 9/3
  4. 1/27
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: A. 10 — 5 ÷ 1/2 = 5 × 2/1 = 10. There are 10 halves in 5 wholes.
  2. Try It 2: A. 9 — 6 ÷ 2/3 = 6 × 3/2 = 18/2 = 9. Keep 6, change ÷ to ×, flip 2/3 to 3/2.
  3. Exit Ticket: A. 27 — 9 ÷ 1/3 = 9 × 3/1 = 27. There are 27 thirds in 9 wholes.

Writing (TWR) — what to look for