Module 3 Lesson 10

Module 3 Lesson 10

Lesson 10: Writing and Interpreting Inequality Statements

Involving Rational Numbers 

Poll

Opening Exercise: The amount of money I have in my pocket is less than $5 but greater than $4.

• 4.25

• 4.50

• 4.75

• 4.90

Poll

Opening Exercise: The amount of money I have in my pocket is less than $5 but greater than $4.

• 4.25

• 4.50

• 4.75

• 4.90

Open Ended

Opening Exercise: The amount of money I have in my pocket is less than $5 but greater than $4.

Teacher

Is there a way to write one inequality statement that describes both of these relationships?

Exercises 1–4

• 1. Graph your answer from the Opening Exercise part (a) on the number line on your whiteboard or blank paper.

• 2. Also, graph the points associated with 4 and 5 on the number line.

• 3. Explain in words how the location of the three numbers on the number line supports the inequality statements you wrote in the Opening Exercise parts (b) and (c).

• 4. Write one inequality statement that shows the relationship among all three numbers.

• 5. Take a photo to upload later on your Google Slides

Poll

Example 1:
Write one inequality statement to show the relationship among the following shoe sizes:

 $10\frac{1}{2\ ,}\ 8,\ 9\$ 

a. From least to greatest 

•  $8\ >9\ >\ 10\frac{1}{2}$  

•  $8\ <\ 9\ <\ 10\frac{1}{2}$  

•  $8\ >9\ <\ 10\frac{1}{2}$  

•  $10\frac{1}{2}\ <\ 9\ <8\$  

• I still need more help 

Poll

Example 1:
Write one inequality statement to show the relationship among the following shoe sizes:

 $10\frac{1}{2\ ,}\ 8,\ 9\$ 

b. From greatest to least 

•  $8\ >9\ >\ 10\frac{1}{2}$  

•  $10\frac{1}{2}\ <\ 9\ <8\$  

•  $8\ >9\ <\ 10\frac{1}{2}$  

•  $10\frac{1}{2}\ >\ 9\ >8\$  

• I still need more help 

_{Mary is comparing the rainfall totals for May, June, and July.}

• 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). 

Write one inequality to order the Changes in Total Rainfall:

• Create a verticle Number Line and plot the points -1.4, 0.3, and 0.5

• Order from least to greatest

• Order from greatest to least

• Load image of work on your Google Slides Module 3 Classwork

Open Ended

Example 2:

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

Poll

Exercise 5:

Mark’s favorite football team lost yards on two back-to-back plays. They lost 𝟑𝟑 yards on the first play. They lost 𝟏𝟏 yard on the second play. Draw a number line and write an inequality statement using integers to compare the forward progress made on each play.

• −𝟑 > −1

• −𝟑 < −1

• $−𝟑\le−1$

• $−𝟑\ge−1$

Poll

Exercise 6:

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, one 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.

•  $75\ <\ 55$  

•  $75\ >\ 55$  

•  $55\ <75$  

•  $55\ >\ 75$  
  

Open Ended

Exercise 7:

Jason ordered the numbers −𝟕0, −𝟏8, and −𝟏8.𝟓 from least to greatest by writing the following statement: −𝟏8 < −𝟏8.𝟓 < −𝟕5. Is this a true statement? Explain by drawing a number line first and then writing your statement.

Open Ended

What was the learning goal of Lesson 10? Write at least 3 sentences.