Carroll County Middle School

October 23, 2009

Math Department Professional Development

1. There are 600 school children in the Lakeville district. If 54 of them are high school seniors, what is the percentage of high school seniors in the Lakeville district?

A. 2.32%B. 0.9%C. 9%D. 11%E. 90%

What are the three types of percentage problems your students will see?

2. Susan’s take-home pay is $300 per week, of which she spends $80 on food and

$150 on rent. What fraction of her take-home pay does she spend on food?

A.B.C.D.

E.

154

21

3023

3029

752

What part of this problem will cause students to give a wrong answer?

3. Which of the following expresses the prime factorization of 54?

A. 9 x 6

B. 3 x 3 x 6

C. 3 x 3 x 2

D. 3 x 3 x 3 x 2

E. 5.4 x 10

What are the only two possibilities and why?

4. The number 1134 is divisible by all of the following except A. 3

B. 6 C. 9D. 12E. 14

What are some divisibility rules that help you here?

5. When is an integer?

A. Only when a is negativeB. Only when a is positiveC. Only when a is oddD. Only when a equals 0E. Only when a is even

211 a

A calculator would help students working the last problem.

True

False

6. On Friday, Jane does one-third of her homework. On Saturday, she does one-sixth of the remainder. What fraction of her homework is still left to be done?

A.B.C.D.E.

2194

95

65

127

What is it about this problem that assures lots of incorrect

answers?

7. If the area of circle A is 16π, then what is the circumference of circle B if its radius is one-half

that of circle A?A. 2πB. 4πC. 6πD. 8πE. 16π

What percentage of your students will correctly answer that geometry

problem?

Geogebra

Installation: www.geogebra.org Download Run, and follow instructions from there

Open Geogebra from your desktop Go to Help, then Geogebra Wiki Choose English, then Middle School

Geometry Formulas

Take a Break

TI-73 APPS•AreaForm•NumLine•Rrampage•GEOBOARD

Let’s Eat

Multiplication & DivisionGames

Prancer and Arnie