#### Parent Mathing Tip #9: Shapes

These tips give parents ideas for math exercises that will develop their child's math abilities. Today’s parent tip for “mathing” with your child focuses on shapes.

Want to test your math skills and get into the Thanksgiving spirit? Try our Thanksgiving word problems!

*Question:* At a Thanksgiving dinner, 6 relatives are visiting from Nevada, 7 relatives are visiting from California, and 4 relatives are visiting from Arizona. How many total relatives are visiting?

*Answer:* 17 relatives

*Solution:* To find the number of relatives visiting, we need to add the members visiting from the different states. So, we need to add 6 + 7 + 4. Notice that if we add 6 + 4 first, we would get 10. So, 6 + 7 + 4 = 10 + 7 = 17. There are 17 relatives visiting.

*Question:* The Morgans had pumpkin pie for their Thanksgiving dessert. The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion. How much of the pie is left after the daughter ate her portion?

*Answer:* 1/8 of the pie

*Solution:* From the whole pie, the mom ate 1/4 of it. 1 - 1/4 = 3/4. There is 3/4 of the pie left after the mom ate her portion. The dad ate 2/3 of what was remaining. Breaking 3/4 into 3 equal parts, each part is equal to 1/4. If 1/3 of 3/4 is 1/4, then 2/3 of 3/4 is 2/4 = 1/2. So the dad ate 1/2 of the pie. This means that there is 3/4 - 1/2 = 1/4 of the pie left for the daughter. The daughter ate half of what was remaining. Half of 1/4 is 1/8. There is 1/8 of the pie left after the daughter ate her portion.

*Question:* Right before Thanksgiving, a turkey went on sale from $20 to $17. What was the amount of the discount?

*Answer:* 15%

*Solution:* To find the percent discount, find the difference between the original and sale price and divide by the original price. $20 - $17 = $3. Now, we have 3/20. Since percent means for each hundred, one way to find the percent is to make the denominator equal to 100. 3/20 = 15/100. So, the turkey is on sale at a 15% discount.

*Question:* The Goldmans are playing a game of football after their Thanksgiving meal. Bob threw the football and its path can be traced by the function h(t) = -t2 + 3t + 10 where t is the time from when Bob threw the football in seconds. At what time will the football hit the ground?

*Answer:* 5 seconds

*Solution:* To find when the football hits the ground, we need to set h(t) = 0.

0 = -t2 + 3t + 10

Multiply both sides by -1.

0 = t2 - 3t - 10

Factor the polynomial.

0 = (t - 5)(t + 2).

Set each factor equal to 0 and solve for t.

t - 5 = 0

t = 5

t + 2 = 0

t = -2

t = 5 and -2. It does not make sense that the ball hit the ground -2 seconds after Bob threw the ball, so that means the ball hits the ground 5 seconds after it was thrown.

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