1) A tractor wheel is 88 inches in circumference. How many complete turns will the wheel make in rolling one mile on the ground? (1 mile = 5,280 feet)
2) In the addition problem below, each letter represents a digit and different letters represent different digits. What four-digit number does D E E R represent?
+ R I D
D E E R
3) Alice and Betty run a 50-meter race and Alice wins by 10 meters. They then run a 60-meter race, and each girl runs at the same speed she ran in the first race. By how many meters will Alice win?
1) When the wheel makes one complete turn, it has rolled a distance of 88 inches. The number of turns equals 1 mile divided by 88 inches
(1 mile = 5280 feet = 5280 x 12 inches).
Dividing yields 5280 x 12 inches = 720
2) D in the sum DEER must be 1. The R in the second addend must be 9. It follows that E must be 0 and DEER represents 1009.
3) Method 1
Alice runs 50m in the same time that Betty runs 40m. Thus Alice runs 5m for every 4m that Betty runs. Therefore in the 60m race, Alice will run 12 x 5m or 60m, and Betty will run 12 x 4 = 48m. So Alice wins by 12m.
Since Alice wins the 50m race by 10m, Alice must gain 2m over Betty for every 10m that Alice runs. Therefore, in a 60m races, Alice will gain 6 x 2m or 12m.
I am amazed at how much growth I have seen in our Pirates this year and know that they are going to do a great job on the upcoming Milestones! To help students be as prepared and confident as possible I will be doing some test prep lesson in Math Lab with 3rd-5th graders. We will work on some test taking strategies, practice another type of constructed response, and look at some words that they might encounter on the test and what they mean(see picture below for the 12 Powerful Words).
I am going to start working with 1st and 2nd graders on writing constructed responses using a graphic organizer this month. 1st and 2nd graders will also be working on addition strategies.
Kindergarten will continue to work on addition and number sense using manipulatives. PTA bought us a class set of Rekenreks recently and the students are getting a lot of number sense and addition practice on them. They are great for working with the benchmark numbers of 5 and 10!
I hope to have information about the 2019-2020 Math Olympiad team some time this month. I am looking for feedback on next year's shirt, the survey can be found here. The team will be open to 4th and 5th graders.