14
2-1: Writing Equations 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Embed Size (px)

DESCRIPTION

Example 1B: Sentences into Equations ◦T◦Translate the following into an equation ◦F◦Fifteen more than x times six is y times two minus eleven ◦T◦The equation is 15 + x ● 6 = y ● 2 – = 2 +x●6 y ● –11

Citation preview

Page 1: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing EquationsEssential Skills:

Translate sentences into equationsTranslate equations into sentences

Page 2: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Example 1A: Sentences into Equations◦ Translate the following into an equation◦ A number b divided by three is equal to six less than c

◦ The equation is b/3 = c – 6b/3 = c – 6

Page 3: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Example 1B: Sentences into Equations◦ Translate the following into an equation◦ Fifteen more than x times six is y times two minus eleven

◦ The equation is 15 + x ● 6 = y ● 2 – 1115 = 2+ x ● 6 y ● – 11

Page 4: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

1) Translate the following into an equation1) Translate the following into an equationA number c multiplied by six is two more than dA number c multiplied by six is two more than d

1 2 3 4

96%

4%0%0%

1. 6c = d + 22. 2c = d + 63. c = d + 24. c = 6(d + 2)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Page 5: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2) Translate the following into an equation:2) Translate the following into an equation:Three less than a number a divided byThree less than a number a divided by

four is seven more than three times bfour is seven more than three times b

1 2 3 4

61%

0%

32%

7%

3 3 74a b

3 3 74a b

3 3 74a b

1.

2. 4a – 3 = 3b + 7

3.

4.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Page 6: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Example 3: Write a formula◦ Translate the sentence into a formula.◦ The perimeter of a square equals four times the length of

a side◦ Words: Perimeter equals four times the length of a side

◦ Variables: Let P = perimeter and s = length of a side

◦ Formula: Perimeter equals four times the length of a side

◦ The formula is P = 4sP = 4s

Page 7: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Translate the sentence into a formula:Translate the sentence into a formula:The area of a circle equals the product of The area of a circle equals the product of ππ and and

the square of the radiusthe square of the radius

1 2 3 4

0% 0%

11%

89%1. A = π + r2

2. A = πr2

3. A = 2πr4. A = 2r + π

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Page 8: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Example 4A: Equations into Sentences◦ Translate the following into a verbal sentence◦ 12 – 2x = -5◦ 12 – 2x = -5

◦ Answer: Twelve minus two times x equals negative fiveTwelve minus two times x equals negative five

Page 9: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Example 4B: Equations into Sentences◦ Translate the following into a verbal sentence◦ a2 + 3b = c/6

◦ a2 + 3b = c/6

◦ Answer: a squared plus three times b equals c divided by 6

a squared plus three times b equals c divided by 6

Page 10: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Translate the equation into a verbal sentenceTranslate the equation into a verbal sentence1212//bb – 4 = -1 – 4 = -1

1 2 3 4

0%

100%

0%0%

1. Twelve minus four divided by b is negative one

2. Twelve less than four divided by b equals negative one

3. Four minus twelve divided by b equals negative one

4. Twelve divided by b minus four equals negative one

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Page 11: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Translate the equation into a verbal sentenceTranslate the equation into a verbal sentence5a = b5a = b22 + 1 + 1

1 2 3 4

0%7%

89%

4%

1. Five plus a equals b squared plus one

2. Five times a equals twice b plus one

3. Five times a equals b squared plus one

4. The quotient of five and a equals b squared plus one

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

Page 12: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Participant ScoresParticipant Scores

5 Sara Bath5 David Farrell5 Gabriel Gipli5 Caitlyn MacDonnell5 Kelliann Seedes

Page 13: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations2-1: Writing Equations

Assignment◦Page 77 – 78

Problems◦1 – 17 (skip #9)◦21 – 29 (skip #25)◦Odd problems

Page 14: 2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

Participant ScoresParticipant Scores

0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5