Math Study Guide: Test on Friday January 18th

Math Study Guide:

1. Definitions:  Students must be able to define each word.  2 Marks for each definition.

Prime Number	more ...
A Prime Number can be divided evenly only by 1, or itself. Example: 5 can only be divided evenly by 1 or 5, so it is a prime number. But 6 can be divided evenly by 1, 2, 3 and 6 so it is NOT a prime number (it is a composite number). See: Composite Number

Composite: A natural number greater than 1 that is not a prime number is called a composite number.  For example, 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6.

Number 1:  Is neither Prime nor Composite.

Composite Number	more ...
A Composite Number can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 1, 3 and 9, so 9 is a composite number. But 7 can only be divided evenly by 1 and 7, so 7 is NOT a composite number (it is a Prime Number). See: Prime Number

Factor	more ...
Factors are numbers you can multiply together to get another number: Example: 2 and 3 are factors of 6, because 2 × 3 = 6. A number can have MANY factors! Example: 3 and 4 are factors of 12, because 3 × 4 = 12. Also 2 × 6 = 12 so 2 and 6 are also factors of 12. And 1 × 12 = 12 so 1 and 12 are factors of 12 as well. So 1, 2, 3, 4, 6 and 12 are all factors of 12

Multiple:  The result of multiplying a number by an integer.

2.  Students must be able to prove the factors of a number using 1cm X 1cm grid paper.  Students will also be given the opportunity to use Grid Paper to help them figure out factors of a number.  For example:  if students where to show the factors of 12.  They would have one rectangle that is 1cm by 12cm, 2cm by 6cm, 3cm by 4cm.  This concept is important, as it will lead us into our next unit in Perimeter, Area and Volume.

3.  Students need to be familiar with all the prime and composite numbers to 100.  Students will be given a 100’s Grid, where they will be asked to colour the composite numbers one colour and the prime numbers another colour. 

4.  Students will be given 5 different numbers from 1 to 100.  They will be asked to give the factors of each number.  Students will gain an additional mark if the numbers in written from least to greatest.

Example:  Factors of 12 are 1x12,   2x6 ,  4x3

Answer in correct form:  1, 2, 3, 4, 6, 12

5.  Multiples:  Students will be given 4 numbers.  They will be asked to write the next 5 numbers in sequence:

Multiples of 50:  100, 150, 200, 250, 300

Suggested Strategy:  When given a number, this is a strategy taught in class.

Factors of 32:

Write a list from 1 to 10.  Go through each number to see if you have included all the factors.

1 x 32

2 x 16  Two works in every even number.

3 Does not work

4 x 8

5 Does not work.  Number must end in 0 or 5.

6 Does not work

7 Does not work

8 x 4

9  Does not work

10  Does not work.  Number must end in zero.

When writing the final answer, students do not need to repeat numbers:

Example:  8 x 4 = 4 x8

Answer:  1, 2, 4, 8, 16, 32

If parents have any questions or concerns, please let me know.

Thanks,

Mr. Blick

Thanks to http://www.mathsisfun.com/definitions/multiple.html for the definitions.