Rational Number
Week 1 – Discussion
1. Counting Number : Is number we can use for counting things: 1, 2, 3, 4, 5, ... (and so on). Does not include zero; does not include negative numbers; does not include fraction (such as 6/7 or 9/7); does not include decimals (such as 0.87 or 1.9)
Whole numbers : The numbers {0, 1, 2, 3, ...} There is no fractional or decimal part; and no negatives: 5, 49 and 980.
Integers : Include the negative numbers AND the whole numbers. Example: {..., -3, -2, -1, 0, 1, 2, 3, ...}
Rational numbers: It can be written as a fraction. For example: If a is 3 and b is 2, then: a/b = 3/2 = 1.5 is a rational number
2. Give examples of correct and incorrect applications of the Order of Operations.
Problem: 3 + 4 x 2
Solution:
Correct
Incorrect
3 + (4 x 2)
= 3 + 8
= 11
( 3+4) x 2
= 7 x 2
= 14
3. Describe some real life applications of finance problems and geometric problems.
Finance Problem : Budgeting for daily expenses, such as groceries, paying my credit card bill, school supplies , etc
Geometric Problem : I think making a Birthday cake need Geometric in order to have a perfect shape and design.
Week 2 – Discussion
1. Explain the geometric sense of a linear system in two variables. Describe the possible cases.
2. Geometric sense of a linear system of inequalities in two variables.
3. How do the special products help us factor polynomials? Give examples.
1. Linear system in two variables can be written in the form: a x + b y = p c x + d y = q
- If a, b, p – and – c, d, q are real numbers ( if a, b and c, d are not both equal to 0)
- x and y are called two variables.
2. Linear system of inequality in two variables can be written in the form: a x + b y a x + b y p a x + b y p a x + b y p
3. The special products help us factor polynomials Difference of Squares: a2 − b2 = (a + b)(a − b) Example: X 2 – 16 = ( X + 4 ) ( X – 4 )
Week 3 - Discussion
1. Compare fractions and rational expressions.
1. Counting Number : Is number we can use for counting things: 1, 2, 3, 4, 5, ... (and so on). Does not include zero; does not include negative numbers; does not include fraction (such as 6/7 or 9/7); does not include decimals (such as 0.87 or 1.9)
Whole numbers : The numbers {0, 1, 2, 3, ...} There is no fractional or decimal part; and no negatives: 5, 49 and 980.
Integers : Include the negative numbers AND the whole numbers. Example: {..., -3, -2, -1, 0, 1, 2, 3, ...}
Rational numbers: It can be written as a fraction. For example: If a is 3 and b is 2, then: a/b = 3/2 = 1.5 is a rational number
2. Give examples of correct and incorrect applications of the Order of Operations.
Problem: 3 + 4 x 2
Solution:
Correct
Incorrect
3 + (4 x 2)
= 3 + 8
= 11
( 3+4) x 2
= 7 x 2
= 14
3. Describe some real life applications of finance problems and geometric problems.
Finance Problem : Budgeting for daily expenses, such as groceries, paying my credit card bill, school supplies , etc
Geometric Problem : I think making a Birthday cake need Geometric in order to have a perfect shape and design.
Week 2 – Discussion
1. Explain the geometric sense of a linear system in two variables. Describe the possible cases.
2. Geometric sense of a linear system of inequalities in two variables.
3. How do the special products help us factor polynomials? Give examples.
1. Linear system in two variables can be written in the form: a x + b y = p c x + d y = q
- If a, b, p – and – c, d, q are real numbers ( if a, b and c, d are not both equal to 0)
- x and y are called two variables.
2. Linear system of inequality in two variables can be written in the form: a x + b y a x + b y p a x + b y p a x + b y p
3. The special products help us factor polynomials Difference of Squares: a2 − b2 = (a + b)(a − b) Example: X 2 – 16 = ( X + 4 ) ( X – 4 )
Week 3 - Discussion
1. Compare fractions and rational expressions.