Hello My Name Is...

Isaac Johnson

I teach 6th grade Math in the North pod.  My email is ijohnson@dcps.k12.va.us.

Answers to Part I of Home Pack

Front Page:

Circle all values equivalent to 60%.  60% = 0.600
0.600 = 0.600 (match)    6/100 = 0.060 (not a match)     3:5 = 0.600 (match)
picture model 6/10 = 0.600 (match)             1/6 = 0.166... (not a match)

Circle all values equivalent to 5/20.  5/20 = 0.250
5.20 = 5.200 (not a match)     1/4 = 0.250 (match)     picture model 2/8 = 0.250 (match)
0.250 = 0.250 (match)                 25% = 0.250 (match)

Compare using < , >, and =.
6/8 = 75% (both equal 0.750)     3.08 < 3 4/10 (3.080 is less than 3.400)    2:3 > 0.7% (0.666 is greater than 0.007)

Back Page:
Arrange in ascending order.
4 1/5 = 4.200     14/3 = 4.666     415% = 4.150     0.427 = 0.427
In ascending order.....0.427   ,   415%   ,   4 1/5   ,   14/3

Arrange in descending order.
picture model 28/100 = 0.280     1/4 = 0.250     2.9% = 0.029     7/2 = 3.500
In descending order.....7/2   ,   picture model 28/100   ,   1/4   ,   2.9%

Home Pack Part 2

Front Page:

1)  Multiply straight across, 12/40 at first, then 3/10 when simplified
2)  Put 1 under the 6, multiply straight across, 30/12 at first, then 2 6/12, then 2 1/2 when simplified.
3)  Use magic C.  23/6 x 2/3 = 46/18 at first, then 2 6/18, then 2 5/9 when simplified
4)  Use magic C. 9/4 x 13/4 = 117/16 at first, then 7 5/16
5)  Use magic C. 21/5 divide by 1/2, then KFC, so 21/5 x 2/1 = 42/5 at first, then 8 2/5.
6)  Use magic C. 11/9 divide by 1/3, then KFC, so 11/9 x 3/1 = 33/9 at first, then 3 6/9, then 3 2/3 simplified.
7)  Use magic C. 27/4 divide by 2/1, then KFC, so 27/4 x 1/2 = 27/8 at first, then 3 3/8.
8)  Use magic C, 9/4 divide by 10/7, then KFC, so 9/4 x 7/10 = 63/40 at first, then 1 23/40

Back Page:

Make common denominators with all of them.

1)  1/8 + 4/8 = 5/8
2)  3 9/12 + 4/12 = 3 13/12 at first, then 4 1/12
3)  5 5/9 + 6/9 = 5 11/9 at first, then 6 2/9.
4)  4 5/10 + 2 4/10 = 6 9/10.
5)  4 8/10 - 3/10 = 4 5/10 at first, then 4 1/2.
6)  7 9/12 - 4 8/12 = 3 1/12.
7)  7 7/7 - 2 6/7 = 5 1/7.
8)  5 4/20 - 3 15/20 at first, then you have to borrow so 4 24/20 - 3 15/20 = 1 9/20.

Answers to Home Pack Part 3

Front Page

Missing numbers on the number lines.
1)  -6  ,  -2  ,  3
2)  0  ,  3  ,  8
3)  -6  ,  -4  ,  0

Numbers that are integers:  -16, 0, 14/2, 246, 8

Back Page
Compare integers
5 > 1     8 > -7    -19 < 4    -12 > -15

0 > -3    -20 < 20    -2 > -13    -26 < 25

Integers in ascending order
-8,  -5,  -1,  4
-13,  -6,  0,  14,  21
-16,  -11,  -9,  -5,  -2,  15

Integers in descending order
2,  0,  -3,  -11
30,  14,  1,  -18,  -24
9,  7,  2,  -4,  -9,  -10

Answers to Home Pack Part 4
Front Page:
23 = 2 x 2 x 2 = 8
44 = 4 x 4 x 4 x 4 = 256
72 = 7 x 7 = 49
65 = 6 x 6 x 6 x 6 x 6 = 7,776
37 = 3 x 3 x 3 x 3 x 3 x 3 x 3 = 2,187

17 = 1     108 = 100,000,000    90 = 1
00 = undefined    151 = 15     202 = 400

The missing exponents are 84 , 65 , 38 , 93

Back Page:

Answers to the models are:    62          92          32

132           22

The patterns are:
9, 16, 25, 36               64, 81​, 100, 121
144, 169, 196, 225            289, 324, 361, 400

In checking the work from Home Pack 1 and 2, if you have any questions, please let me know at ijohnson@dcps.k12.va.us   I will post answers to Home Pack Part 3 on Wednesday.