STILLWATER CROSSING · THE COURSE NOTES · BRIDGE MATH 5/6

Week 14 · Probability and Algebraic Equations

This week

Lessons 66, 67, 68, 69 & 70

Papers

Test 7 to do at home · Vocab Walk opens

Method

No calculators, ever · show every step

Instructional notes

Probability

Probability tells how likely it is that a desired outcome will occur. It is expressed as a fraction in lowest terms.

ttttt nnnnnn oo ddddddd oooooooo P(event) = ttttt nnnnnn oo pppppppp oooooooo

Example

Bailey’s fish tank had 5 goldfish, 12 danios, 4 guppies and 3 tetras. Using her net, she will randomly scoop up one fish without looking.

12 1 What is the probability she will scoop a danio? = 24 2 5 P(goldfish) =

What is the probability she will scoop a tetra? =

P(fish) = =1 24 0 What is the probability she will scoop a cat? =0 24

Practice

Write the probability of each as a reduced fraction. 7 The bag has 14 blue and 10 red marbles. P(blue) = 12 8 The class has 7 girls and 8 boys. P(boy’s name drawn) = 15 1 A deck has 52 cards (13 of each suit). P(spade) = 4 1 A coin is flipped. P(tails) = 2

Instructional notes

Measures and Fractions

If a smaller measure is only part of a larger one, it can be written as a fraction. 1 Ex: 1 foot = yard (because 3 feet = 1 yard) 3 Smaller Unit → Larger Unit = Divide 1 1÷3= 3

To convert a fraction of a larger measure, multiply the fraction by the number of smaller units.

1 Ex: yard = 1 foot 3 Larger Unit → Smaller Unit = Multiply 1 × 3=1 3

Example

Convert each measurement.

2 5 yard = _2_ feet 5 days = __ __ week 3 7 1. X (L → S) 1. ÷ (S → L) 2. 3 (3 ft = 1 yd) 2. 7 (7 d = 1 wk)

2 3 5 3. x = 2 3. 5 ÷ 7 = 3 1 7

Practice

Convert each measurement. 5 1 5 in. = _ _ ft. yr. = _4__ months 12 3

3 3 min. = _45__ seconds 3 days = __ _ week 4 7

Instructional notes

Example

Solve and check. R

N=3 C = 11 X=8 R = 36

Practice

Solve and check.

n + 12 = 45 4p = 28 n=33 p=7

b =9 A − 15 = 38 7 b=63 A = 53

Quick Review

Mrs. Muffin’s students scored 75, 100, 98, 83, 97, 65, 100, 86, 96, 90 and 100 on the last quiz. Find the mean, median, mode and range of the scores.

Mean: 90 Median: 96 Mode: 100 Range: 35

✍ In your own words

explain why we use the inverse operation when solving equations. Suggested answer: We use inverse operations to undo whatever is being done to a variable. The goal of solving any algebraic equation is to isolate the variable so we can find its value. Inverse operations allow us to "peel away" numbers one by one.

Homework this week

Work-text	Lesson 66	Lesson 67	Lesson 68	Lesson 69
Speed drill	66	67	68	70

Terms on the record

Term	Meaning
probability	Probability tells how likely it is that a desired outcome will occur. It is
variables	Algebra uses letters called variables to represent unknown
opposite operations	numbers. Inverse or opposite operations are used to solve for the
algebraic equation	An algebraic equation is a math sentence. It must contain an equal
equal	An algebraic equation is a math sentence. It must contain an equal
sign	sign because it states that the two expressions on either side are
symbol meaning	Inverse Operation

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