Math 6 Unit 6 Lesson 5

Unit 6 Lesson 5

Let's investigate what a fraction means if the numerator and the denominator are not whole numbers

Agenda

Warm-Up: Activity 5.1

Activity 5.2: Intrpeting a/b

Activity 5.3: Story time Again

5.1 Warm-Up

Solve each equation

Multiple Choice

0.07 = 10m

m=?

• 7

• 0.7

• 0.007

• 70

Fill in the Blanks

10.1 = t + 7.2

Activity 5.2

Solve each equation

Fill in the Blanks

35=7x

Fill in the Blanks

35=11x

Fill in the Blanks

7x=7.7

Fill in the Blanks

0.3x=2.1

Fill in the Blanks

 $\frac{2}{5}=\frac{1}{2}x$  

Let's talk about that last one...

• When you solved it, you remembered the saying "whatever you do to one side, you have to do to the other.

• And you knew your goal is to isolate the variable

• So... that is what you did!

• you divided 1/2 on both sides since it was attached to the x using multiplication.

• That left you with x on the right side and

   $\frac{2}{5}\div\frac{1}{2}$   on the left. 

• Now you just have to divide a fraction by a fraction (multiply by the reciprocal!).

But....

Sometimes we write division with the division symbol:

 $30\div6$  

and then we also use the fraction bar type of symbol to show division:
 $\frac{30}{6}$  

In the world of fractions, it might look a little weird like this....  IT'S OK!! It is still telling us to divide.

Storytime!

Read each scenario and match it with the proper equation that could be used to solve it.

Multiple Select

Clare has 8 fewer books than Mai. If Mai has 26 books, how many books does Clare have?

• 26 - x = 8

• x = 26 + 8

• x + 8 = 26

• 26 - 8 = x

Multiple Select

A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league?

• $y=14\div8$

• $\frac{y}{8}=14$

• $\frac{1}{8}y=14$

• $y=14\cdot8$

Multiple Select

Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409 points, how many points did Tyler score?

• $223=409-z$

• $409-223\ =z$

• $409+223=z$

• $409=223+z$

Multiple Select

Mai ran 27 miles last week, which was three times as far as Jada ran. How far did Jada run?

• $3w=27$

• $w=\frac{1}{3}\cdot27$

• $w=27\div3$

• $w=3\cdot27$

Poll

How do you feel about solving equations?