Multiple Ways to Teach a Concept – Equivalent Fractions, Prime and Composite Numbers

Multiple Ways to Teach a Concept – Equivalent Fractions, Prime and Composite Numbers

Numbers

 

Concept #1 Example Problem
Defining prime and composite numbers. Which of the given numbers is a prime or composite number?

 

8, 5, 12
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Prime numbers are numbers that only have two factors; 1 and itself, while composite numbers are numbers that have more than two factors excluding 1 and itself.

 

8 = 1,2,4,8; therefore, 8 is a composite number

5= 1 and 5; therefore, 5 is a prime number

12 = 1, 2, 3, 4, 6, 12; therefore, 12 is a composite number

 Numbers that only have two dividers and two factors; namely, itself and 1 are called prime numbers.

 

Numbers with more than two dividers and factors; except for itself and 1 are called composite numbers.

8:

1×8=8

8×1= 8

2×4= 8

8÷1= 8

8÷2= 4

8÷4= 2

8÷8= 1

Therefore, 8 is a composite number.

5:

1×5= 5

5×1= 5

5÷1= 5

5÷5= 1

Therefore, 5 is a prime number.

12:

1×12= 12

2×6= 12

3×4= 12

4×3= 12

6×2= 12

12×1= 12

12÷1= 12

12÷2= 6

12÷3= 4

12÷4= 3

12÷6= 2

12÷12= 1

Therefore, 12 is a composite number.

 

Concept #2 Example Problem
Equivalent Fractions Match the following fractions to their equivalent fractions

 

Fraction                 Equivalent fraction

½                              6⁄8

¼                                 3⁄6

¾                               2⁄8

 

 
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Equivalent fractions are equal fractions.

 

 

½ = 2 quarters and 3 sixths, therefore, ½ = 3⁄6

¼= 2 eighths, therefore, ¼= 2⁄8

¾= 6 eighths, therefore, ¾= 6⁄8

 

 

 Equivalent fractions are fractions with varying denominators and numerators with similar proportions.

 

Multiplication can be used to determine the equivalent fractions.

3 × (½) =  therefore, ½ = &nb

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