Today:

Warm-Up: ( 𝟑𝟐𝟎𝟎

𝟐𝟎𝟎Questions)

Khan Academy Practice

Fractions, Decimals, & Factoring

Class Work

Warm-Up

On three tests, you have scores of 94, 70, and 76. What score do you need on your last test in order to average 83%?

Solve,

𝟐𝟒𝟎 + 𝒙

𝟒

> 83

Write as a simplified fraction & decimal:

3. 3 ÷ 5 5. 6 ÷ 154. 25 ÷ 4 𝟑

𝟓.6 6

𝟏

𝟒6.25

𝟑

𝟓.6

Warm-Up

Adding & Subtracting Mixed Fractions: (3)

x = 31x = 32

x = 36

Vocabulary:

Fractions: From the Latin fractiō: a breaking into pieces, also from the Latin fractus: broken

English Words from the Latin Root Fractus:fracture, infraction, fragile, frail

Fractions are a SINGLE NUMBER and can be placed on the number line. All positive proper fractions are a number between 0 and 1.

A fraction is defined as a “part – whole” relationship of a

number. 𝟏

𝟐means “one of two” or “one out of every two.”

This part/whole relationship could actually represent one of two, or it could represent 50/100, 1000/2000 etc.

Vocabulary:

A fraction is defined as a “part – whole” relationship of a

number. 𝟏

𝟐means “one of two” or “one out of every two.”

This part/whole relationship could actually represent one of two, or it could represent 50/100, 1000/2000 etc.

The part/whole relationship is known as a ratio, and is calculated through division.

“One out of every two” as a fraction is 𝟏

𝟐As a decimal, this

relationship is 1 ÷ 2, 2 1 which equals 0.5

Reduce the fraction, if possible, by using prime factorization to find the GCF of:

1. 𝟏𝟒𝟒

𝟏𝟓𝟎2.

𝟏𝟒𝟎

𝟐𝟒𝟓

GCF = 7 x 5 = 35140/35 = 4245/35 = 7

GCF = 2 x 3 = 6144/6 = 24150/6 = 25

Simplify Using GCF: 48x3 y4z56xy5z3

= 24•3•xxx•yyyy•z

= 23•7•x•yyyyy•zzz

= 24•32

= 2•3• 52

6x2

7yz2

Please note: If an expression has a single term, 48x3 y4z56xy5z3

simplifying is accomplished by reducing ;(GCF)

If an expression has more than one term, 3c - 24c - 8simplifying is accomplished by factoring

(GCF again) Simplify by factoring:

6x3y -12x2 + 15x -27xy

And Lastly, simplify by reducing2a + 64a - 12

Factor Practice:

3. Find the GCF of: 16a2b2, 40a2b3, and 56a3b4

1. Simplify: 21x3y2

3xy2. Simplify: 55p2 - 11p4 +44p5

Warm-Up

1. 0.6 = 5

2. 0.14 = 50

?

Write as a simplified improper fraction:

?

Fill in the missing numbers:

7. 4.008 =

? 4. 0.012 = 250

3. 0.016 = 125

?

8. 5.015 = 6. 3.02 = 5. 1.2 =

9. Write four-fifths as a decimal:

Answer in both decimal and fraction form:

10. 0.7 + 0.6 11. 8.21 - 0.31 12. 0.42 - 0.002

x = 5h -9r

5. Solve: 2y + 2 < 11+ 3 < 8 + y

1. Solve for x: rx + 9 = h 5

Write as a decimal:

16. One-tenth of a dollar

17. One-tenth of ninety cents

18. One-tenth of two dollars and seventy cents.

Warm-Up: Wednesday