warm ups 1) a student has completed 12 out of 34 homework assignments. at this rate, how many...

12
Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments. 2) To make a model of the Victoria River, Zoe used 2.5 inches of clay for every 7 miles of the actual river’s length. Her model river was 50 inches long. How long is the Victoria River? Answers: 1) 30 2) 140

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Page 1: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Warm Ups1) A student has completed 12 out of 34 homework assignments. At this

rate, how many assignments would the student complete out of 85 assignments.

2) To make a model of the Victoria River, Zoe used 2.5 inches of clay for every 7 miles of the actual river’s length. Her model river was 50 inches long. How long is the Victoria River?

Answers:

1) 30

2) 140

Page 2: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

4 - 4 Percents

Day 2Objective: To solve ratio word problems and problems simple interest.

Standard 5.0

Page 3: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Similar Triangles (worksheet)

1. A vertical flagpole casts a shadow 12 ft long at the same time that a nearby vertical post 5 ft high casts a shadow 3 ft long. Find the height of the flagpole.

Page 4: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Similar Triangles (worksheet)

2. A vertical rod 8 ft high casts a shadow 6 ft long. At the same time, a nearby tree casts a shadow 15 feet long. Find the height of the tree.

Page 5: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Try #3 with partnerTry #4 on your own

3. 4.

Finish this worksheet for homework!!

Page 6: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Interest

Think about these questions..

What is it?

Where/When is it earned? Why?

Now discuss your answers with a partner.

Page 7: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

I = prt

I = Interest earned ($)p = principle (amount put in) ($)r = interest rate (as a decimal) (%)t = time (in years) (yrs)

Page 8: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Example 1

Find p if I = $45, r = 6%, and t = ½ year

45 = p(0.06)(.5)

45 = .03p

p = $1500

Page 9: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

TOO1. Find p if I = $196, r = 10%, t = 7 years.2. Find r if I = $120, p = $600, t = 5

years.

Answers:

1. p = $280

2. r = 4%

Page 10: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

Example 2

Find I if p = $1500, r = 7%, and t = 18 months

*change months to years (÷ 12)

I = 1500(.07)(18/12)I = 105(1.5)I = $157.50

Page 11: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

TOO

1. Find I if p = $500, r = 5%, t = 6 months.

2. Find t if I = $200, p = $1500, r = 1%.

Answers:

1. I = $12.502. t = 13.3 years = 13 years 4 months

Page 12: Warm Ups 1) A student has completed 12 out of 34 homework assignments. At this rate, how many assignments would the student complete out of 85 assignments

HomeworkSimilar Triangles worksheet

Pg. 219 # 40-45 all