Algebra 3-4's Guide to November 2nd and 4th (17.2B)

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20 questions
Number Talk
2

What is

Show your thought process.

Build Understanding
1

What do the expressions
and
represent in this context?

1

What is the greatest common factor of
and
?

1

Write the factored form for the buildable area
on a square lot in the city. What does each factor of the expression represent in this context?

1

If the developer chooses to construct a building on a square lot with a side length of 60 feet, what is the maximum area of one floor of the building?

Real-World Quadratic Equations
1

What will be the length of the new deck?

1

What will be the width of the new deck?

1

Write a verbal model, including units, to describe the area of the new deck in terms of x.

1

Write and solve the equation that models the area?

1

Answer the original question that was asked.

Factoring Quadratic Expressions of the Form x^2+bx+c: The Undistributive Property
3

Match the following quadratics with their factors. Draw out an area diagram to justify your solution for at least one of the matches. Complete the task as a small group.

Draggable itemCorresponding Item
The Zero Product Property (ZPP)
2

Match the following quadratics with their solutions. Complete the task as a small group, but be sure to show your work on at least one of the problems below. Note: Solutions can also be called Zeros.

Draggable itemCorresponding Item
1

How does
relate to a problem above?

On Your Own
2

Solve the equation.

3

Solve the equation.

4

Homework Reflection Questions: Your response to the questions should be very detailed! Please write in complete sentences and be ready to share your responses in class the next day.
2

What were the main mathematical concepts or ideas that you learned today or that we discussed in class today?

2

How is a factor similar or different than a solution/zero?

2

What are the benefits to factoring a quadratic as a chosen solution method? Compare factoring to completing the square or the quadratic formula.

2

What could be a limitation to factoring a quadratic as a chosen solution method? Compare factoring to completing the square or the quadratic formula.