6th Grade Math: Be Rational 8Inequality Statements

Wednesday, December (812+24), 2015

AIMS: SWBAT write and explain inequality statements involving rational numbers SWBAT justify inequality statements involving rational numbers

AGENDA:1. Do Now Review2. Writing and Reading Inequality Statements3. Sprint4. Guided Practice5. Independent Practice (B)6. Closing7. Practicing our AIMS: Exit Ticket

Homework: Be Rational 8

Will your choices help us STRIVE?

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AIMS: SWBAT write and explain inequality statements involving rational numbers SWBAT justify inequality statements involving rational numbers

AIM CHECK: What can you do before writing an inequality statement

involving three numbers that makes it easier to write the inequality statement? For example, explain the process for writing one inequality statement comparing −3, 8, and −10.

If you know the order of a set of numbers, how can you represent the order using inequality symbols?

If two negative numbers are ordered using the < symbol, what must be true about their positions on a horizontal number line? On a vertical number line?

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6th

Grade Math

Inequality Statements

Name: __________________________ #:Date:

Homeroom: Be Rational 8AIM(S): SWBAT write and explain inequality statements involving rational numbers SWBAT justify inequality statements involving rational numbers

DO NOWDirections: Complete the following questions.

1) Create a number line with a scale of 0.1 that goes from 5 to 6 below:

2) Create a number line with a scale of 15 that goes from -2 to zero

3) Create a number line with a scale of 20 that goes from -60 to 60

4) Create a number line with a scale of 12 that goes from -5 to 0

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Class NotesDirections: Board Equals Paper!

VOCA

B Inequality:

Inequality Statement:Reading Inequality Statements

How to read an inequality:>

<

−3 12←2 is read as

1>0.75 is read as

−4>−4.5>−4.94 is read as

3<3 12<4 is read as

Creating Inequality StatementsThere are two types of inequality statements today, ones with symbols and ones with symbols. In order to create them, do this!

Order the numbers from for symbols, and for symbols (IF YOU FORGET HOW TO ORDER, CHECK YOU NOTES IN BR 6!)

Example: create an inequality statement using the numbers −6 12 ,−10 ,17 , and 0.3

Least to greatest:

Greatest to least:

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Guided PracticeDirections: Board=Paper!

1) Write an inequality statement to show the relationship between the following shoe sizes: 1012, 8, and 9.

a. From least to greatest:

b. From greatest to least:

2) Mary is comparing the rainfall totals for May, June, and July. The data is reflected in the table below. Fill in the blanks below to create inequality statements that compare the Changes in Total Rainfall for each month (the right-most column of the table).

a) Write an inequality statements to order the Changes in Total Rainfall

From least to greatest From greatest to least

b) In this case, does the greatest number indicate the greatest change in rainfall? Explain.

3) For the relationship described below, write an inequality that relates the rational numbers.A test score of 64 is worse than a test score of 65, and a test score of 65 is worse than a test score of 6712 .

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4) Use the information given by the inequality to describe the relative position of the numbers on a horizontal number line.

−99>−100

5) Fill in the blanks with numbers that correctly complete each of the statements.

a. Three integers between −4 and 0 < <

b. Three rational numbers between 16 and 15 > >

6) Mark’s favorite football team lost yards on two back-to-back plays. They lost 3 yards on the first play. They lost 1 yard on the second play. Write an inequality statement using integers to compare the forward progress made on each play.

Independent PracticeDirections: Complete every question below! Do your best! When done, you may work on

the ADVANCED WORK ONLY (not homework )1) Sierra had to pay the school for two textbooks that she lost. One textbook cost $55

and the other cost $75. Her mother wrote two separate checks for each expense. Write two integers that represent the change to her mother’s checking account balance. Then write an inequality statement that shows the relationship between these two numbers.

2) Jason ordered the numbers −70, −18, and −18.5 from least to greatest by writing the following statement: −18 <−18.5<−70.Is this a true statement? Explain.

Keep going! There are more challenges ahead!

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3) Kendra collected data for her science project. She surveyed people asking them how many hours they sleep during a typical night. The chart below shows how each person’s response compares to 8 hours (which is the answer she expected most people to say).

a. Plot and label each of the numbers in the right-most column of the table above on the number line below.

b. List the numbers from least to greatest.

c. Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers

4) Fill in the blanks with numbers that correctly complete each of the statements.

a. Three rational numbers between −1 and −2 < <

b. Three integers between 2 and −2 > >

KEEP GOING!5) For each of the relationships described below, write an inequality that relates the

rational numbers.7

a. Seven feet below sea level is farther below sea level than 412 feet below sea level.

b. Sixteen degrees Celsius is warmer than zero degrees Celsius.

c. Three and one-half yards of fabric is less than five and one-half yards of fabric.

6) Write a real-world situation that is represented by the following inequality: −19<40. Explain the position of the numbers on a number line.

7) For each of the following, use the information given by the inequality to describe the relative position of the numbers on a horizontal number line.

a. −2<0<5

b. −7.6←7 12←7

8) Fill in the numbers in the correct order

Explain how the position of the numbers on the number line supports the inequality statements you created.

Keep going!Complete the below inequality statements using the numbers given.

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6th Grade Math Advanced WorkDirections: Complete this for dollars! Turn in advanced work with your homework.

Name: #: HR:

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Name and Number:

_______________________

Date: _______________________

Class: ________________________

HOMEWORK6th Grade Math

Be Rational 8Inequality Statements

Ms. Huber614-859-

0019Mr. Lantz614-285-

6801

/ 5 = % DNGA B C D F

Redo?yes no

New grade:

Directions: Complete all of the below problems (FRONT AND BACK). If you have questions, first check the examples in your packet. Then, check the class website or ask a classmate or guardian for help. Then, you can call Ms. Huber/Mr. Lantz if you still have questions.

1) For the relationships described below, write an inequality that relates the rational numbers.

a. In December the total snowfall was 13.2 inches, which is more than the total snowfall in October and November, which were 3.7 inches and 6.15 inches, respectively.

b. Smith is in debt $4.45, but Tina is in more debt, she owes $6.33.

2) For the following, use the information given by the inequality to describe the relative position of the numbers on a horizontal number line.

a. −45.3>−54.3

b. 14<1415

3) Fill in the blanks with numbers that correctly complete each of the statements.

a. Three integers between -13 and -5 < <

b. Three rational numbers between -13 and -12 > >

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Is this a re-submit?

FLIP IT!4) The average life expectancy (The age you are expected to die) for the entire world

is 71 years. Ben decided to compare various countries life expectancies with the average. Below are his findings:

Country Life Expectancy (yrs) Difference from averageU.S.A. 79 8Japan 84 13Somalia 53 -18Egypt 71 0India 66 -5

a. Plot and label each of the numbers in the right-most column of the table above on the number line below.

b. List the numbers from least to greatest.

c. Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers

REVIEW!A) Create a number line with a scale of 13 that goes from -3 to 3

B) Create a number line with a scale of 0.1 that goes from -9 to -8

C) Create a number line with a scale of 10 that goes from -20 to 50

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Name and Number:

_______________________

Date: _______________________

Class: ________________________

Exit Ticket6th Grade Math

Be Rational 8Inequality Statements

Ms. Huber614-859-

0019Mr. Lantz614-285-

6801

/ 5 = % DNG

A B C D FDirections: Complete all of the below problems. Do not use notes. This is an independent task, so you may not get help from Ms. Huber/Mr. Lantz either. Try your best! Work on Advanced work when done.

1) For the relationship described below, write an inequality that relates the rational numbers.

A loss of $500 in the stock market is worse than a gain of $200 in the stock market.

2) For the following, use the information given by the inequality to describe the relative position of the numbers on a horizontal number line.

−0.2←0.1

3) Fill in the blanks with numbers that correctly complete each of the statements.

c. Three integers between -6 and -1 > >

d. Three rational numbers between 12 and 13 < <

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SPRINT!Directions: On a sprint, we practice our math facts for one minute. Then, we STOP, even if

we’re not done, so we can track our progress!

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