Notes, June 1,2011

Equation - Mathematical statement with two expression that have the same value

Make an expression :

eight times a number plus four is twelve

Answer:

8n+4=12

Identify what are the constant, variable, and numerical coefficient.

Answer:

Opposite Opperation:

subtraction,addiction

addiction,subtraction

division,multipulcation

multipulcation,division

Variables and Expression

Variables - a letter that represents an unknown number

Expression - any single # or variable or a combination of operations involving numbers and variables

Value - a known or calculated amount

Constant - a number that doesn't change, increases or decreases the value of an expression

For example ( the picture ):

Here is a video to help you with your understanding.

Mary's Probability Question

What is the probability on spinning

p(YELLOW) on my spinner? Express

your answer in a fraction, percent, and ratio.

Answering Janessa's Question

Janessa's question was:

What is the RED marble? Show it as a fraction, percent, and ratio.

Answers:

Fraction: 1/6

Percent: 16.66

Ratio: 1:6

Questions 16 and 17.

Question 16:

What is the area of each triangle?

A)

The formula is Base x Height, divided by 2.

2 m x 6 m = 12 m

12 m ÷ 2 = 6 m

So the answer is 6 m ².

B)

b = 5.2 m, h = 5.3 m

5.2 x 5.3 = 27.5

27.56 ÷ 2 = 13.78 m

The answer: 13.78 m ²

Question 17:

Aleta has a pasture for her horses. The pasture runs alongside a creek as shown. What is the approximate area of the pasture? Explain how you determined show your answer.

1.1 km will be your base.
1.6 km will be your height.

1.1 x 1.6 = 1.76

1.76 ÷ 2 = 0.88

The answer: 0.88 km ². It is an app. answer because the creek is NOT straight.


Here is a video to help you find the area of a triangle.



Also, here is a link for you to play.

B.E.D.M.A.S Question.

Here is my question I made to make it equal to 7.

Dividing Decimal Numbers

Question # 4 a) in your textbook : Without using a calculator, place the decimal point in the correct position. Show your thinking.

36.72 ÷ 30 = 1224

Showing my thinking: Use front end estimation. ( taking the first digit)

Step 1: 36.72 will turn into 30.

Step 2: 30 will stay the same. So it will be 30 ÷ 30, 30÷30 = 1

Step 3: Now you know that the answer be approximately 1

Answer: 36.72 ÷ 30 = 1.224

Question # 6 b) in your textbook: Estimate then calculate the answer.

4.56 ÷ 0.8 = ______

Estimation:

Step 1: Round 4.56 to the nearest whole number, which is 5.

Step 2: Change 0.8 to 0.5

Step 3: 5 ÷ 0.5 = 10

Answer: 4.56 ÷ 0.8 = 5.7

Question # 12 in your textbook: A contractor charged $398.75 to move the gravel for a garden. The contractor charges $72.50 per hour. How long did she work? Estimate, then calculate the answer.

Estimation:

Step 1 : Change $ 398.75 to $350.00

Step 2 : Change $ 72.50 into $ 70.00

Step 3 : 350 ÷ 70 = 5. That means the contractor worked for about 5 hours.

Answer: 398.75 ÷ 72.50 = 5.5 , the contractor worked for 5 and half hours.

If you need help on multiplication check this link out.

Corrections for Question 13

Question: A figure resulting from a transformation is called a(n)__________.

Answer: A figure resulting from a transformation is called a(n) image.




















Here is a picture that will give you a better understanding.

The Original copy is translated 10 units right then 2 units down. Then turns into an Image because it was transformed.


If you need practice on plotting points on a coordinate grid, visit this website to let you practice.

I hoped that helped you!