4.1 Review: Factoring Expressions in Standard Form (Due 1/10/24)

Essential Question: How do we find the factors of an expression in standard form?

Learning Target: Students will be able to find the factors of expressions in standard form and apply that ability to solve real-world problems.
Show your work and use complete sentences for credit.

Day 1 1/8/24

This video covers the box method for factors quadratic expressions. Please watch it to help you use the box method to factor the following quadratics.

Required

10

Review: Simplify the product.

10

Review : Simplify the product.

10

Review: Simplify the product.

10

Review: Simplify the product.

10

Vocabulary Review: Use the Distributive Property. Match equivalent expressions.

y(y + 2)
(2y - 1)(y + 2)
y(y² + 3y - 6)
-1(y + 2)

y³ + 3y² - 6y
-y - 2
y² + 2y
2y(y + 2) - 1(y + 2)

10

Factor this standard form quadratic expression.
Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Lisa factored the following problem:
She got the answer below. Decide if she is correct and explain how you know.

Required

10

Prove that (x+4) and (x+6) are the factors of:

20

Match the quadratic to its factors.

Draggable item		Corresponding Item
		(x + 3) (x - 6)
		(x - 3) (x - 6)
		(x + 6) (x - 3)
		(x + 3) (x + 6)

20

Day 2 1/9/24

10

What are two factors of 60 that combine (add or subtract) to equal 17? (Use 'and' between the two numbers)

10

What are two factors of -60 that combine (add or subtract) to equal 11? (Use 'and' between the two numbers)

10

What are two factors of 48 that combine (add or subtract) to equal -14? (Use 'and' between the two numbers)

10

What are two factors of 48 that combine (add or subtract) to equal 19? (Use 'and' between the two numbers)

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

Day 3 1/10/24

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. (hint look at your work from Day 1 and Day 2

(If the equation only has one answer, then write n/a for solution 2.)


Solution 1:
_______ 

Solution 2:
_______ 

\begin{tikzpicture}[scale=0.5]

\draw[gray!50, thin, step=1] (-5,-5) grid 
\draw[very thick,->] (-5,0) -- (5.2,0) node[right] 

\draw[very thick,->] (0,-5) -- (0,5.2) node[above] 
\foreach \x in 
  \draw (\x,0.1) -- (\x,-0.1) node[below] 
\foreach \y in 

  \draw (-0.1,\y) -- (0.1,\y) node[right] 
\draw[fill=black] (1,2) circle (0.1) node[above right] 
\draw[fill=black] (-3,-4) circle (0.1) node[below left] 
\draw[fill=black] (4,0) circle (0.1) node[above right] 
\draw[fill=black] (0,-2) circle (0.1) node[below left] 

4.1 Review: Factoring Expressions in Standard Form (Due 1/10/24)

Essential Question: How do we find the factors of an expression in standard form?

Learning Target: Students will be able to find the factors of expressions in standard form and apply that ability to solve real-world problems.

Show your work and use complete sentences for credit.

Day 1 1/8/24

This video covers the box method for factors quadratic expressions. Please watch it to help you use the box method to factor the following quadratics.

Review: Simplify the product.

Review : Simplify the product.

Review: Simplify the product.

Review: Simplify the product.

Vocabulary Review: Use the Distributive Property. Match equivalent expressions.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Lisa factored the following problem:She got the answer below. Decide if she is correct and explain how you know.

Prove that (x+4) and (x+6) are the factors of:

Match the quadratic to its factors.

Match the quadratic to its factors.

Day 2 1/9/24

What are two factors of 60 that combine (add or subtract) to equal 17? (Use 'and' between the two numbers)

What are two factors of -60 that combine (add or subtract) to equal 11? (Use 'and' between the two numbers)

What are two factors of 48 that combine (add or subtract) to equal -14? (Use 'and' between the two numbers)

What are two factors of 48 that combine (add or subtract) to equal 19? (Use 'and' between the two numbers)

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Day 3 1/10/24

Essential Question: How do we find the factors of an expression in standard form?

Learning Target: Students will be able to find the factors of expressions in standard form and apply that ability to solve real-world problems.

Show your work and use complete sentences for credit.

Day 1 1/8/24

This video covers the box method for factors quadratic expressions. Please watch it to help you use the box method to factor the following quadratics.

Review: Simplify the product.

Review : Simplify the product.

Review: Simplify the product.

Review: Simplify the product.

Vocabulary Review: Use the Distributive Property. Match equivalent expressions.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Lisa factored the following problem:She got the answer below. Decide if she is correct and explain how you know.

Prove that (x+4) and (x+6) are the factors of:

Match the quadratic to its factors.

Match the quadratic to its factors.

Day 2 1/9/24

What are two factors of 60 that combine (add or subtract) to equal 17? (Use 'and' between the two numbers)

What are two factors of -60 that combine (add or subtract) to equal 11? (Use 'and' between the two numbers)

What are two factors of 48 that combine (add or subtract) to equal -14? (Use 'and' between the two numbers)

What are two factors of 48 that combine (add or subtract) to equal 19? (Use 'and' between the two numbers)

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Day 3 1/10/24

Factor this standard form quadratic expression.
Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Lisa factored the following problem:
She got the answer below. Decide if she is correct and explain how you know.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.
Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Lisa factored the following problem:
She got the answer below. Decide if she is correct and explain how you know.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.