Neft Teacher · Notes Packet

Unit 4 · Standard 6.RP.3c

Percents Greater Than 100% and Less Than 1%

Lesson 4-3

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 Percent: A way to compare a number to 100, shown with the % sign.

45% means 45 out of 100

Percent

A way to compare a number to 100, shown with the % sign.

Illustration of Greater than 100%: A percent bigger than 100%, more than the whole thing.

150% means 1.5 times the whole

Greater than 100%

A percent bigger than 100%, more than the whole thing.

Illustration of Less than 1%: A percent smaller than 1%, a very tiny part.

0.5% of 1,000 = only 5 items — a tiny sliver

Less than 1%

A percent smaller than 1%, a very tiny part.

Illustration of Equivalent: Having the same value, just written a different way.

150% = 1.5 = 3/2

Equivalent

Having the same value, just written a different way.

Illustration of Mixed number: A whole number plus a fraction, like 1 1/2.

150% = 1 and 1/2 = 1.5

Mixed number

A whole number plus a fraction, like 1 1/2.

Key Ideas & Notes

Think About It

  • What does it mean when a score is shown as 150% of the target?
  • Can a percent be less than 1%? What would that look like?
  • How do you write a percent greater than 100% as a decimal or fraction?

My Notes

Guided Examples

Example 1

Which of the following is greater than 100%?

Solution: 1.25 = 125%, which is greater than 100%. The other values are all less than 1 (less than 100%).

Answer: C. 1.25

Example 2

What is 200% written as a decimal?

Solution: 200% ÷ 100 = 2.0. Percents greater than 100% become decimals greater than 1.

Answer: A. 2.0

Example 3

What is 0.5% written as a decimal?

Solution: 0.5% ÷ 100 = 0.005. Move the decimal two places to the left.

Answer: A. 0.005

Write About the Math The Writing Revolution

I can explain my reasoning using the words percent, greater than 100%, less than 1%, and equivalent.

1. Kernel Sentence subject + verb

Model: Percent is a way to compare a number to 100, shown with the % sign.Porcentaje es una manera de comparar un número con 100, con el signo %.

Write a kernel sentence about percent. Use a subject and a verb.Escribe una oración base sobre porcentaje. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Percent matters in mathPorcentaje importa en matemáticas

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

becauseporque

Percent matters in math because ___.Porcentaje importa en matemáticas porque ___.

butpero

Percent matters in math, but ___.Porcentaje importa en matemáticas, pero ___.

soentonces

Percent matters in math, so ___.Porcentaje importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about percent.Di un hecho verdadero sobre percent.

Percent ___.

QuestionPregunta

Ask a question about percent.Haz una pregunta sobre percent.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about percent.Muestra entusiasmo sobre percent.

Wow, ___ !¡Guau, ___ !

CommandMandato

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

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

___% means ___.___% significa ___.

It is more / less than the whole because ___.Es más / menos que el todo porque ___.

I see big percents when ___.Veo porcentajes grandes cuando ___.

Try It

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

1. Which percent is less than 1%?

  1. 0.75%
  2. 7.5%
  3. 75%
  4. 1.5%
Show your work:

2. A player scored 0.4% of the bonus points. Which decimal represents this percent?

  1. 0.4
  2. 0.04
  3. 0.004
  4. 4.0
Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

A game character has 300% of its original health after picking up a power-up. If the original health was 80 points, how many health points does the character have now? A student says 240 points. Another says 380 points. Who is correct and why?

Sentence starter: The student who said ___ is correct because 300% means ___ times the original, so ___ × 80 = ___.

Show your work:

Reflect — Exit Ticket

Which statement is true about 0.25%?

  1. It equals 0.0025 as a decimal
  2. It equals 0.25 as a decimal
  3. It equals 1/4 as a fraction
  4. It is greater than 1%
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: A. 0.75% — 0.75% is less than 1%. All the other choices are greater than 1%.
  2. Try It 2: C. 0.004 — 0.4% = 0.4 ÷ 100 = 0.004. Move the decimal point two places to the left.
  3. Exit Ticket: A. It equals 0.0025 as a decimal — 0.25% = 0.25 ÷ 100 = 0.0025. It is much less than 1%, not equal to 1/4.

Writing (TWR) — what to look for