Numbers with an ODD number of Factors

There certainly are numbers with an odd number of factors!!!
They are perfect squares: 4, 9, 16, 25, etc. Look what happens when we list the factors of perfect squares. 4: 1x4, 2x2 so the factors are 1, 2, and 4--that's 3 factors! 9: 1x9, 3x3, so the factors are 1, 3, and 9--that's three factors! 16: 1x16, 2x8, 4x4, so the factors are 1, 2, 4, 8, and 16 which is five factors! Eureka!!!--don't you just love this stuff??? (Don't worry--I gave you all points for your answers on the test since it was my fault that you had the wrong information.)

Test Your Math Skills

Now that you have complete MAT170, test your skills with Sample Questions from the State Praxis. Trust the conceptual knowledge you are developing to help you use logic to solve the problems. The Pre-Professional Skills Test in Math can be found at http://www.ets.org/Media/Tests/PRAXIS/pdf/0730.pdf.
Note that some of the problems focus on geometry, data analysis, and algebra concepts; which were not covered in MAT170. If you are interested in further developing your conceptual understanding of these concepts, you should consider signing up for MAT171.

MAT 170 Final Exam Review Fall 2006

1. (Ch.9 #6/7) Proportional reasoning-- create a drawing that helps you visualize the relationship and determine an amount prior to increase/decrease

2. (Ch. 8 & Ch.3 #1) Additive and multiplicative comparison--be able to explain and write problems that model these

3. (Ch.9) Proportional Reasoning--write a problem that models this

4. (Ch.7 #1) Subtraction write problems that model “take away” and “comparison”.

5. (Ch.6 #10) Use benchmark numbers to estimate fractional values

6. (Ch. 5 #2, 4, 5) Estimate operations with percents, decimals, and fractions

7. (Ch. 4 #1, 2) Long division--use and explain the scaffolding method, sometimes called the ‘Big Seven’

8. (Ch 4 ) Division modeled using ‘Fair Share’ or ‘Repeated Subtraction.’

9. (Ch.2 ) Working with Bases other than Ten—operations in other bases and converting to base ten or from base ten

Why we teach for conceptual understanding

http://www.youtube.com/watch?v=zs_z1M2yrLg

Word problems for Division with Fractions

Dividing by a fraction can be thought about as repeated subtraction or sharing equally. In section 7.3; here are some sample problems.

Repeated subtraction:

15a. If a tortoise is timed traveling an average of 1 2/3 miles per hour, how long would it take the tortoise to travel 6 miles?

15a. The recipe you use to make holiday cookies uses 1 2/3 cups of flour for each batch of cookies. How many batches of cookies can you make with the 6 cups of flour.

15b. How many 2 ¾ feet long strips of ribbon can be cut from a ribbon that is 7 ½ feet long?

15b. If your pea patch is only 7 ½ square yards and the melon plants you want to grow require 2 ¾ square yards each. How many melon plants can you put into your pea patch? Show your work and explain your reasoning.


Sharing Equally:

15b. You have 7 ½ bags of mulch to cover 2 ¾ square yards of garden bed. If you want to distribute the mulch evenly over the garden bed, how many bags will you need to use for each square yard?

15c. If you want to share1 7/8 pizza with 3 people, how much pizza would each person get?

Converting Decimals to Fractions

TERMINATING DECIMALS: Put the decimal’s digits in the numerator. In the denominator, the number of zeros equals the number of digits behind the decimal. Example: 0.079 = 79/1000
SIMPLE REPEATING DECIMALS: Put the decimal’s repeating digits in the numerator. In the denominator, the number of nines equals the number of repeating digits. Example: 0.7979797979… = 79/99.
COMPLEX REPEATING DECIMALS: Subtract the non-repeating digits from the digits after the decimal point that include one set of the repeating decimals. Put this number in the numerator. In the denominator, the number of nines equals the number of repeating digits and the number of zeros equals the number of non-repeating digits. Example: 0.12379797979… = (12379 - 123) / 99000 = 12256/99000 (which can then be simplified).

Lesson Help

Here is a great place to get help with a lesson/problem between classes.

TEACHERS OF TOMORROW (TOT) CLUB

Seattle Central's TOT Club offers a wonderful networking opportunity for students who are interested in teaching as a career. Students who are interested in primary, elementary, secondary, or post-secondary education are all welcome. This is a student run club, this means that activities can be tailored to your interests. If you would like to find out more about this group, please contact Lisa Saunders (club advisor) at LSaunders@sccd.ctc.edu