Conversation #1
Chapter 1 section 1.1 & 1.2
Dao Yang
Math 10A
11-11:50 MWF
Section 1.1 p. 15
Question: A pattern of dots is shown above.How many dots would be in the 6th picture?
Answer: 21 dots
Step 1: Understanding the problem
1 = 1 dot
2 = 3 dots
3 = 6 dots
4 = 10 dots
5 = ?
6 = ?
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Step 2: Devising a plan
wring out the number
Step 3: Carrying out the plan
1,3,6,10,15,21
1+2=3, 3+3=6, 6+4=10, 10+5=15,
15+6=21
Step 4: Looking back/Check/Reflection
Each time you count one more time up because 1,3,6,10 is the pattern of the dots and the question is asking how many dots was in the 6th picture. So the first picture show 1 dot. The second picture show 3 dots and on….I know that it add 2, then 3, then 4 … because 1 go to 3 is 2 and 3 go to 6 is 3 & 6 go to 10 is 4…..that why I know each time you count one more time up
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Section 1.2 p. 35
The growing number pattern 3,4,6,9,13,….follows a rule.
Question: Write a new growing pattern beginning with 21 that follows the same rule. 21, ___,___,___,___,___
Step 1: Understanding the Problem
As see up there 3 go to 4 by 1. 4 go to 6 by 2. 6 go to 9 by 3. 9 go to 13 by 4.
So, We has to do the same to the 21 by follows the same rule.
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Step 2: Devising a plan
I going to count 1 more time up by Drawing.
Step 3: 21, 22, 24, 27, 31, 36
+1 +2 +3 +4 +5
Step 4: Looking back/Check/Reflection
The answer is 21,22,24,27,31,36. As we know that+1, +2, +3, +4 is that pattern so that why the new growing pattern beginning with 21 is 21,22,24,27,31,36. As you follow the step, step 3 is show you that it right.
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Section 1.2 p. 35
Question: Which of the following equation has the same solution as the
equation 2x + 6 = 32
Step 1: Understanding the Problem Solve the equation: 2x + 6 = 32 Step 2: Devising a plan Solve the problem to see if they has the same answer. Step 3: Carrying out the plan 2x + 6 = 32 -6 = - 6 2x + 0 = 26 2 2 x = 13 |
The solution is
E. 2 ( x + 3 ) = 32
Step 4: Looking back/Check/Reflection
E. 2 ( x + 3 ) = 32 is the answer that has the same solution as the equation 2x + 6 = 32 because if we solve 2 ( x + 3 ) = 32 it going to be x = 13.
Solve...
2 ( x + 3 ) = 32
2x + 6 = 32
-6 = -6
2x = 26
2 2
x = 13