Author: lily padilla (Page 1 of 2)

Members:

Lily

Rebeca

Irene

Ashley

Nathaly

Problem 7 ( Week 9/7): 15v^2+17v+4

Context:

Factoring , Polynomials , Exponents and Addition

Observations:

• There are 3 terms
• An exponent of 2 appears
• Addition appears
• The variable V appears
• A quadratic equation in ax^2+bx+c=0 format appears
• All terms are positive
• This is a degree 2 equation
• The leading coefficient is 15
• This equation is a trinomial
• This equation only has 1 constant

Questions:

• What is the leading coefficient?
• What is the highest degree?
• Do I start with the larger term when simplifying?
• Do I start by using the quadratic formula?
• Do we simplify the exponent?
• Can we combine like terms?
• Will we have to use PEMDAS to solve this equation?
• Will we have to use the FOIL method in this equation?
• Do I have to make this equation equal 0 first?
• Will our final answer be a fraction after simplifying?

Members:

• Lily
• Irene
• Rebeca
• Ashley
• Nathaly

Standard 1- Question 8: 4[15-3(3+8)]

1. Context

This problem deals with multiplication, addition, subtraction and the order of operation.

2. Observations

Brackets and parentheses appear, addition and subtraction appear, multiplication appears.

3. Questions

What does the order of operation tell us to do? What does it mean when there’s 2 types of parentheses? Will our answer be positive or negative?

4. Strategies

Evaluate parentheses first and follow the order for operation.

5. Concept

Order of operation

6. Conclusion

4[15-3(3+8)]

Parentheses: 4[15-3(11)]

Multiplication: 4(15-33)

Subtraction: 4(-18)

Final Answer: -72

Standard 2- Question 3: ( -4^3/-2^3)^2

1. Context

This problem deals with negative integers, division and exponents.

2. Observations

Negative integers appear, division appears and exponents appear.

3. Questions

What does the order of operations tell us to do? What does it mean when there’s 2 sets of exponents? Will our answer be positive or negative?

4. Strategies

Evaluate parentheses first and follow the order of operations.

5. Concepts

PEMDAS, simplify the division inside the parentheses.

6. Conclusion

(-4^3/-2^3)^2

-4^3= -64

-2^3= -8

-64/-8= 8

8^2= 64

Final Answer: 64