Mathematics 320 Worksheet printable pdf download

Mathematics 320 Worksheet

GROUP EXERCISES: MATHEMATICS 320

INSTRUCTOR: MICHAEL B. SCOTT

Section 1.1

Exercises.

(1) Starting Point problem page 3.

(2) Problems for Writing/Discussion (page 15).

(3) Given: Six arrows arranged as follows:

Goal: By inverting two adjacent arrows at a time, rearrange to the following:

Can you ﬁnd a minimum number of moves?

(4) Two friends are shopping together when they encounter a special “3 for 2” shoe sale.

If they purchase two pairs of shoes at the regular price, a third pair (of lower or equal

value) will be free. Neither friend wants three pairs of shoes, but Pat would like to

buy a $56 and a $39 pair while Chris is interested in a $45 a pair. If they buy the

shoes together to take advantage of the sale, what is the fairest share for each to pay?

Answers.

(1) 46 feet by 17 feet.

(2) Problems for writing and discussion.

1. Yes, ﬁrst graders can do simple algebra. However, using a symbol like a space,

a box, or a question mark should be used instead of introducing a variable.

2. By working with a number, rather than a variable, students can get a feeling

for what operations are needed. Also, if they guess a number that yields something

close to the desired answer, it can serve as an estimate to check their ﬁnal answer.

3. Yes. However, not all students are able to work in a purely abstract world and

drawing pictures may help their transition to thinking abstractly.

(3) 3 moves using the guess and test method.

(4) Pat: $ 68.54, Chris: $32.46 using a variable.

Section 2.1

Exercises.

(1) Starting Point problem page 39.

(2) If two sets are equal, then does that mean they are equivalent? If two sets are

equivalent, does that mean they are equal? Explain.

(3) If A is a proper subset of B, and A had 23 elements, then how many elements does

B have? Explain.

Answers.

(1) The students in the shaded region will be those with curly hair that don’t have blue

eyes and don’t have brown hair. A person whose name is not in any of the circle has

none of the attributes: blue eyes, brown hair, or curly hair.

Date: Spring 2003.

Mathematics 320 Worksheet