Module 9 Lesson 1

Module 9 Lesson 1

By Mr. Wellner

Goal:

Students will be able to...

write equations to represent situations​

6th | Math

Module 9

Poll

Bella and Tia began the week with the same amount of money. Bella paid $9 to go to the movies. Tia spent $2 on snacks and $7 on a new T-shirt. Do Bella and Tia have the same amount of money left?

• Yes

• No

• I have no idea what this question is asking me.

The answer was yes, they do.

Because they both started with the same amount of money, lets call it m, for money. and then they both spent $9. Bella spent all $9 at once, and Tia spent it in 2 purchases, $2 and $7.

Open Ended

Bella and Tia began the week with the same amount of money. Bella paid $9 to go to the movies. Tia spent $2 on snacks and $7 on a new T-shirt. Bella and Tia had the same amount of money left over.

How could we represent this problem with an equivalent expression?

m - 9 = m - (2+7)

Remember m was the variable given to the amount of money they started with. Which was unknown. All we know, is that it was the same amount of money.

Fill in the Blanks

Using the equivalent expression from before:

m - 9 = m - (2+7)

How much money would each of them have left over they started with $20?

​Equation

a mathematical sentence that shows that two expressions are equivalent.

​

(an equivalent expression like the one we just used to solve the last problem)​

6th | Math

Vocabulary

The scale at the top would represent an equation that have both sides of the equal (=) sign balanced, or equal to each other.

​

Balanced / Equal

​Think of an equation like a balance scale.

=

Open Ended

How could we write an equation for the scale in the picture?

Open Ended

What equation does this scale represent?

Fill in the Blanks

4 + 5 = 6 + x

What is the value of x if both sides are balanced?

We know that x = 3 because...

4 + 5 = 9

so if 6 + x = 9

then x would be the difference between 9 and 6.​

It looks like this...

We need to get x by itself 6 + x = 9

Subtract 6 from both sides

6 - 6 + x = 9 - 6

x = 3​

​

Subject | Subject

Some text here about the topic of discussion

4 + 5 = 6 + x

Multiple Choice

Ben buys tickets for the outdoor skating rink as shown. Each ticket costs the same amount. How much does 1 ticket cost?

What information do we know?

Ben bought ___ tickets for $___

• 1 ; $72

• 2 ; $38

• 4 ; $72

• 3 ; $62

Open Ended

How would we write and equation to solve for c, for the COST of 1 ticket?

​Divide by 4 to both sides

When solving for c and it is attached to a COEFFICIENT like this. We know that this means 4 times c. So, to get c by itself we must divide it by 4.

We need to solve for c

4c = $72

Does everyone understand why we divide by 4 to get c by itself?

Solution of an Equation

a value that makes the equation true.

​

(like in the last example and we solved for c in 4c = $72 and c was equal to $18, the solution was the value of c)​

Subject | Subject

Some text here about the topic of discussion

Exit Ticket Questions

There are 4....

Multiple Choice

Given the value of x, is the equation true?

x+8 = 12 when x = 4

• Yes

• No

• Totally Lost

Multiple Choice

Given the value of w, is the equation true?

12w = 36 when w = 3

• Yes

• No

• Totally Lost

Multiple Choice

Given the value of y, is the equation true?

$$\frac{y}{8}\ =40\$$   when y = 5

• Yes

• No

• Totally Lost

Open Ended

There are 30 students in a class. Today, 26 students are present. Write and solve an equation to show how many students are absent.

If there is time left over please work on your packets/homework from yesterday.

End of lesson 1