Butterflies migrate hundreds of miles. This model shows a modified number line.

Summer Mathness 4

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29 thoughts on “Summer Mathness 4

  1. You can add any thoughts you have about the June 4th questions here and we will release them throughout the week.

  2. Mon – I got 8 quarter notes and 32 quarter notes because I counted groups

  3. Tues. First I added everything and got 84. But the other way makes more sense. 68 min

  4. For Tuesday, we used a timeline to figure out the long way:

    https://www.facebook.com/edmeApps/photos/a.381849052213013.1073741830.188872738177313/381849122213006/?type=3&theater

    And the short way:

    https://www.facebook.com/edmeApps/photos/a.381849052213013.1073741830.188872738177313/381849152213003/?type=3&theater

    It’s a lot better to mix while you bake if you have an extra pan to put the cookies on!

  5. On wed I got 7/2. Put I couldn’t figure out part 2

    1. Where could you find how many days are in a month? You know how to find 7 halves well! Very close!!!

  6. 6/7 for Wed I got 3 1/2 and 15 miles. I used 7/2 and 30/2

  7. 6/7/17

    For Wed we know that:

    1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 7/2 (since 2/2 = 1, we could say 2/2 + 2/2 + 2/2 + 1/2 = 3 1/2)

    It’s easier to use multiplication instead of repeated addition:

    7 x 1/2 = 7/2

    For the whole month, we used a calendar to find there are 30 days in June. Adding 1/2 30 times seemed too long, so we used multiplication:

    30 x 1/2 = 15

  8. Thursday (6/8) – I added: 26

  9. We used a table to organize the data, but afterwards we saw that multiplication:

    3 x 2 + 4 x 5 = 26

    AND, addition

    3+3+4+4+4+4+4=26

    Are not too hard also!

    https://www.facebook.com/edmeApps/photos/a.381866378877947.1073741831.188872738177313/381866385544613/?type=3&theater

  10. We did the chocolates first because there are only 16 so it’s easier. You can see 16 divided by 8 here:

    https://www.facebook.com/edmeApps/photos/a.381866378877947.1073741831.188872738177313/381866398877945/?type=3&theater

    Dividing 64 into 8 equal groups is easy if you share the graham crackers equally in 8 rows.

    https://www.facebook.com/edmeApps/photos/a.381866378877947.1073741831.188872738177313/381866395544612/?type=3&theater

    (Also, you should memorize facts like 16 divided by 8 = 2 and 64 divided by 8 = 8

  11. Saturday, 6/10

    Each salad has 6+2+3=11 cups. So in 2 days, he makes 2×11=22 cups.

    if he adds 1 cup to the salad, then he would add 2 cups in 2 days.

  12. Sunday, 6/11:

    1,000 – 250 = 750
    750 – 600 = 150mL

    I could subtract 600, then 250, and get the same final answer.

  13. Monday, June 13:

    The songs are 7 minutes long, so I skip counted:

    7, 14, 21, 28, 35, 41

    41 minutes is too long, so she can listen 5 complete times.

    Since 40 is almost 41, she will be listening to Be Alright

  14. Tuesday June 14

    I subtracted and found it was 150 miles.

  15. June 15, Wednesday

    There are 4 Mondays and 4 Wednesdays in June (I used a calendar). The difference is 2 miles, then I multiplied by 4 to get 8 miles.

  16. Here are our answers to the weekend of June 10-11 problems:

    For Saturday, we know that the total amount of salad for two days is 6+2+3+6+2+3=22 cups.

    If he adds one more cup to two salads, then he will add two more cups of salad.

    For Sunday (6/11), we added the liquid together (250+600=850 mL), and then subtracted (1,000-850=150 mL).

    And, we could add 250+600 or 600+250 and get the same answer.

  17. For June 12, Monday, we created a running tally:

    Total Minutes: 0, song playing: Dangerous Woman, New Total Minutes: 4 minutes
    Total Minutes: 4, song playing: Be Alright, New Total Minutes: 7 minutes

    Total Minutes: 7, song playing: Dangerous Woman, New Total Minutes: 11 minutes
    Total Minutes: 11, song playing: Be Alright, New Total Minutes: 14 minutes

    Total Minutes: 14, song playing: Dangerous Woman, New Total Minutes: 18 minutes
    Total Minutes: 18, song playing: Be Alright, New Total Minutes: 21 minutes

    Total Minutes: 21, song playing: Dangerous Woman, New Total Minutes: 25 minutes
    Total Minutes: 25, song playing: Be Alright, New Total Minutes: 28 minutes

    Total Minutes: 28, song playing: Dangerous Woman, New Total Minutes: 32 minutes
    Total Minutes: 32, song playing: Be Alright, New Total Minutes: 35 minutes

    Total Minutes: 35, song playing: Dangerous Woman, New Total Minutes: 39 minutes
    Total Minutes: 39, song playing: Be Alright, New Total Minutes: 42 minutes

    Be Alright is playing at minute 40. It was in the middle of the 6th loop, so she can listen to 5 total loops.

  18. Tuesday, June 14

    386
    – 236
    150

  19. June has an equal number of Mondays and Wednesdays (we used the calendar app on our phone).

    So, we first found the difference (5-3= 2), and then multiplied it by the weeks in June (4). 4×2 = 8 more miles.

  20. Thursday, 6/15:

    9 pounds of oranges (3 groups of 3 pounds = 9 pounds)
    6 pounds of apples (2 groups of 3 pounds = 6 pounds)
    4 pounds of grapes (2 groups of 2 pounds = 4 pounds)
    2 pounds of strawberries (2 groups of 1 pound = 2 pounds)

    21 total pounds.

    Distributing 21 pounds into 3 bags evenly is 21 / 3 = 7 pounds in each of the bags.

  21. Friday (6/16)

    27 people into 3 teams requires division: 27 / 3 = 9

    I know she needs 27 t-shirts because I just divided 27 by 3, and now I need to multiply the result by 3.

    Fact family
    27 / 3 = 9
    27 / 9 = 3
    9 x 3 = 27
    3 x 9 = 27

  22. Solutions for the weekend of June 17-18:

    Saturday:
    Facts:

    • 7 groups of 3 pounds
    • Some groups of 5 pounds
    • 7 groups + Some groups = 14 groups
    • First I know that 7 + 7 = 14, so there must be 7 bags that weigh five pounds.

      So the total weight is 7×3+7×5=21+35, which is a total weight of 56 pounds.

      Sunday:

      The bottom leaf looks longest. It is 5 2/4 inches.

      The second leaf looks shortest. It is 4 2/4 inches.

  23. Whew, Barb does not like this music!!!

    They listened to a total of 58+75=133 songs.

    Barb liked 5 songs, so she did not like 133-5=128 songs.

  24. There are lots of ways to solve this one, we added the movies first:

    . 152 minutes
    + 161 minutes
    . 313 minutes

    313 minutes is equal to 5 hours and 13 minutes.

    5 hours after 1:15 is 6:15. 13 minutes after 6:15 is 6:28.

    6:28 p.m. is the earliest that they could finish watching both movies.

  25. You could add all three values at once, or add them to at a time.

    So, we added 368 + 195 = 563.

    We added it in our heads by adding 368 + 200 = 568, and then subtracted 5: 568 – 5 = 563

    Then we added 563 + 239 on scratch paper to find the total number of steps: 802

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