Upload
toby-jennings
View
240
Download
0
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
2-1: Writing Equations2-1: Writing EquationsEssential Skills:
Translate sentences into equationsTranslate 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
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
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
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
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
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
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
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
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
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
Participant ScoresParticipant Scores
5 Sara Bath5 David Farrell5 Gabriel Gipli5 Caitlyn MacDonnell5 Kelliann Seedes
2-1: Writing Equations2-1: Writing Equations
Assignment◦Page 77 – 78
Problems◦1 – 17 (skip #9)◦21 – 29 (skip #25)◦Odd problems
Participant ScoresParticipant Scores
0 Participant 10 Participant 20 Participant 30 Participant 40 Participant 5