Homework Assignment 2: Paradigm Analysis
Homework email for the entire course of GE 184
Homework Assignments—To be turned in Unit 2
Writing Assignment 2: Read pages 21 and 22 in the Problem Solving book about paradigm shifts. Write a paragraph explaining what a paradigm shift is and why it is important for both individuals and businesses to stay informed about new discoveries.
Exercise 2.2: Dive into Decimals
Going for Gold
The following chart summarizes the scores in the Women’s Diving event during the Olympics. You are the official scorekeeper and must announce who will win the gold, silver, and bronze medals based on the scores.
Diver
Score for
Preliminary
Round
Dive 1
Final
Round
Dive 2
Final
Round …show more content…
Which three divers won the gold, silver, and bronze medals (based on the total score)? Gold: Silver: Bronze:
4. By how many points did the gold medalist win over the silver medalist?
5. For each of the following divers, determine the difference between her highest and lowest scores in the 5 final rounds. (Difference means to subtract) a. Chantelle Newbery b. Lishi Lao c. Loudy Tourky d. Emilie Heymans e. Laura Wilkinson f. Ting Li
Homework Assignments—To be turned in Unit 3
Writing Assignment 3: Understanding multiplication and division of integers
Page 223 and 224 in the math book. Answer questions 4 through 7 with complete sentences.
Exercise 3.2
1. Calculate –3.912 ÷ (–0.13) and round the result to the nearest ten-thousandth.
2. a. + b. – c. ∙ d. ÷
3. a. –6 + 3 b. –6 – 3 c. –6 ∙ 3 d. –6 ÷ 3
4. a. –10 + – 10 b. –10 – (– 10) c. –10 ∙ – 10 d. –10 ÷ – 10
Show your work on problems 5 – 10.
5. Evaluate. (4 – 9) ∙ 7 + – 5
6. Evaluate. (–6)2 – 15 ÷ 3
7. Solve for x. 36 = –12x
8. Solve for x. 36 = –12 + x
9. Solve for x. 36 …show more content…
Negated question, “How can I insure that all my workers will quit?”
List 8 answers to the negated question.
After reviewing your list as to why your employees are quitting, write a paragraph about how this list could be used to help you solve the original problem. (Not what you will do, or what makes a good leader, but how the list can be helpful to you)
Exercise 5.2: How about Measurements?
1. In this assignment, you will experimentally verify the Pythagorean Theorem. Surveyors, architects, and builders use the Pythagorean Theorem to check whether or not two lines are perpendicular or if a corner forms a right angle. A popular triangle used by builders and carpenters has dimensions 3 units by 4 units by 5 units. Use the Pythagorean Theorem to show that a 6-8-10 triangle is also a right triangle.
2. The lengths of two sides of a triangle are listed in the table below. Note that the lengths of the legs of the triangles are represented by a and b. The letter c represents the length of the hypotenuse. Show Complete the rest of the cells in the following table. Show your work.
a b a2 b2 c2 c Triangle 1
1
Homework Assignments—To be turned in Unit 2
Writing Assignment 2: Read pages 21 and 22 in the Problem Solving book about paradigm shifts. Write a paragraph explaining what a paradigm shift is and why it is important for both individuals and businesses to stay informed about new discoveries.
Exercise 2.2: Dive into Decimals
Going for Gold
The following chart summarizes the scores in the Women’s Diving event during the Olympics. You are the official scorekeeper and must announce who will win the gold, silver, and bronze medals based on the scores.
Diver
Score for
Preliminary
Round
Dive 1
Final
Round
Dive 2
Final
Round …show more content…
Which three divers won the gold, silver, and bronze medals (based on the total score)? Gold: Silver: Bronze:
4. By how many points did the gold medalist win over the silver medalist?
5. For each of the following divers, determine the difference between her highest and lowest scores in the 5 final rounds. (Difference means to subtract) a. Chantelle Newbery b. Lishi Lao c. Loudy Tourky d. Emilie Heymans e. Laura Wilkinson f. Ting Li
Homework Assignments—To be turned in Unit 3
Writing Assignment 3: Understanding multiplication and division of integers
Page 223 and 224 in the math book. Answer questions 4 through 7 with complete sentences.
Exercise 3.2
1. Calculate –3.912 ÷ (–0.13) and round the result to the nearest ten-thousandth.
2. a. + b. – c. ∙ d. ÷
3. a. –6 + 3 b. –6 – 3 c. –6 ∙ 3 d. –6 ÷ 3
4. a. –10 + – 10 b. –10 – (– 10) c. –10 ∙ – 10 d. –10 ÷ – 10
Show your work on problems 5 – 10.
5. Evaluate. (4 – 9) ∙ 7 + – 5
6. Evaluate. (–6)2 – 15 ÷ 3
7. Solve for x. 36 = –12x
8. Solve for x. 36 = –12 + x
9. Solve for x. 36 …show more content…
Negated question, “How can I insure that all my workers will quit?”
List 8 answers to the negated question.
After reviewing your list as to why your employees are quitting, write a paragraph about how this list could be used to help you solve the original problem. (Not what you will do, or what makes a good leader, but how the list can be helpful to you)
Exercise 5.2: How about Measurements?
1. In this assignment, you will experimentally verify the Pythagorean Theorem. Surveyors, architects, and builders use the Pythagorean Theorem to check whether or not two lines are perpendicular or if a corner forms a right angle. A popular triangle used by builders and carpenters has dimensions 3 units by 4 units by 5 units. Use the Pythagorean Theorem to show that a 6-8-10 triangle is also a right triangle.
2. The lengths of two sides of a triangle are listed in the table below. Note that the lengths of the legs of the triangles are represented by a and b. The letter c represents the length of the hypotenuse. Show Complete the rest of the cells in the following table. Show your work.
a b a2 b2 c2 c Triangle 1
1