Learning from Level 1 Mistakes to Improve Level 2

Today, we will be talking about the results of our 2-Question Quiz and figuring out what errors in our thinking led us to incorrect solutions, and how we can reorganize our thinking to lead us to the correct answers.

The table shows actual answers given for this test question:
Add: (2a+8)+(4b+5).

1. Infer the thinking that led from the original expression to the simplified expression. Use ONLY numbers and operation symbols to share that thinking.
2. Identify the data in the table that shows the simplified form of (2a+8)+(4b+5).

1	68	16b	35b
10	98	19a	3t
14	9034	19ab	4b
17	-16a	19b	6a +13
18	(8a)+(9b)	19c	6a+9b
19	10(a) 9(b)	20a	6ab+13
20	10+9 =18	20b	8a 7b
22	10+9b	2a+4b+13	90a
27	10a+9b	2b/13	9a
36	13ab	3432r

The table shows actual answers given for this test question:
Subtract: 8m-(5+2m).

1. Infer the thinking that led from the original expression to the simplified expression. Use ONLY numbers and operation symbols to share that thinking.
2. Identify the data in the table that shows the simplified form of 8m-(5+2m).

-5	554	15m	6m(5)
-1	945	15m-	6m+-5
0	-1m	1m	6m+4m
1	-38m	1m or m	6m+5
5	-56m	2m	7(8)
10	1 m	3+6m	7+8=15
11	10+(-5)	37m	7m
12	10m	46m	8m-(5)+8m-(2m)
15	10m	5-6m	8m-5
18	10m/5	5+6m	8m-7m
21	10m+(-5)	56m	8m+-5+2m
24	10m5	5g	8m+5+2m
56	11m	5m	m
79	13m+2	6m	1m