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 10/18, 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
Answers to Home Pack Part 5
Front Page:
(These are a little harder to share since they are graphed)
Point A is in Quadrant I, to the right 3, up 9. Point B is in Quadrant IV, to the right 6, down 3.
Point C is in Quadrant II, to the left 4, up 2. Point D is in Quadrant III, to the left 5, down 1.
Point E is on the y-axis, at the origin, up 1. Point F is on the x-axis, to the left 6, on the axis.
G (-5, 5) H (-4, 0)
I (1, 3) J (6, -2)
K (0, 5) L (-6, -5)
Back Page:
1) Point M is located at (-2, 3), to the left 2, up 3.
2) Point N is located at (1, -5), to the right 1, down 5.
3) Point O is located at (0, 4), at the origin, then up 4
4) Point P is located at (-6, 5), to the left 6, up 5.
5) Mystery point is located at (0, -3), at the origin, down 3.
6) Point S is located at (6, -3), to the right 6, down 3.
In checking the work from Home Packs 1-5, if you have any questions, please let me know at ijohnson@dcps.k12.va.us