After reviewing the problem of the day, the kids took a speed mental math quiz to practice multiplying by 11 and squaring numbers ending with "5". Mental math practice included looking for pairs adding to ten and grouping terms. Lesson 2 covered sequences: what is a sequence, how to identify arithmetic sequences, calculating the number of terms in a sequence etc.
A favorite example was when Dr. Li asked if the class would rather get $100 for every A received in school, or to receive one cent for the first A, then double that for the second A, and so on. While most of the class chose the first option, it turns out it would be much more lucrative to choose the second option in the long run! If one made As in 36 classes, one would accumulate a total of $687,194,767.35, as opposed to $3600!
The class ended with the card game, 24, where one is shown four cards and must apply mathematical operations to obtain the number "24".
The second group did work with fractions, decimals, and percentages. They also practiced translating word problems into algebra.
To apply this, we had a problem solving relay competition! With four people per team, each received a different word problem and had to translate it into a variable expression. The first team player was given a number, which he/she subsequently plugged into their expression and then passed the answer to the next person in their team, who plugged that number into their expression etc. After a few tries, one team emerged the winner.
The class also ended with 24.
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