Algebra 1 4-3 Complete Lesson: Patterns and Nonlinear Functions

Last updated almost 4 years ago

36 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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Algebra 1 4-3 Complete Lesson: Patterns and Nonlinear Functions

Algebra 1 4-3 Complete Lesson: Patterns and Nonlinear Functions

Solve It! How many blocks are required to build 4 steps? Enter only a number.

Solve It! How many blocks are required to build 5 steps? Enter only a number.

Problem 1 Got It? The table shows the fraction A of the original area of a piece of paper that remains after the paper has been cut in half n times. Graph the function represented by the table.

Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?Enter a one-word response.

Problem 1 Got It? Reasoning: Will the area, A, ever reach zero? Explain.

Problem 2 Got It? Enter a number to fill the table.

Problem 2 Got It? Enter a number to fill the table.

Problem 3 Got It?

Graph the function represented by the table.

Is the function you graphed in the item above linear or nonlinear?

This set of ordered pairs represent a function.What is a rule that represents this function?

Which rule could represent the function shown by the table?

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Explain.

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Explain.

Error Analysis: A classmate says that the function shown by the table can be represented by the rule y = x + 1. Describe and correct your classmate's error. Use ^2 notation for exponents, if necessary.

Review Lesson 1-2: Evaluate the expression for x = -3.

Review Lesson 1-2: Evaluate the expression for x = 0.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.Enter only a number in decimal form.

Review Lesson 1-2: Evaluate the expression for x = -3.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 0.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.Enter only a number in decimal form.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number, in this format: 1/9.

Vocabulary Review: The next shape in the pattern below has __?__ blocks.Enter only a number to fill in the blank.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! How many blocks are required to build 4 steps? Enter only a number.

Solve It! What is the ordered pair associated with 4 steps?

Solve It! How many blocks are required to build 5 steps? Enter only a number.

Solve It! What is the ordered pair associated with 5 steps?

Problem 1 Got It? The table shows the fraction A of the original area of a piece of paper that remains after the paper has been cut in half n times. Graph the function represented by the table.

Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?Enter a one-word response.

Problem 1 Got It? Reasoning: Will the area, A, ever reach zero? Explain.

Problem 2 Got It? Enter a number to fill the table.

Problem 2 Got It? Enter a number to fill the table.

Problem 2 Got It? Represent the relationship using words.

Problem 2 Got It? Represent the relationship using an equation.

Problem 2 Got It? Represent the relationship using a graph. NOTE: Not all points from the table must be on your graph.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It?

Graph the function represented by the table.

Is the function you graphed in the item above linear or nonlinear?

This set of ordered pairs represent a function.What is a rule that represents this function?

Which rule could represent the function shown by the table?

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Explain.

Vocabulary: Does the graph represent a linear function or a nonlinear function?

Explain.

Error Analysis: A classmate says that the function shown by the table can be represented by the rule y = x + 1. Describe and correct your classmate's error. Use ^2 notation for exponents, if necessary.

Review Lesson 1-2: Evaluate the expression for x = -3.

Review Lesson 1-2: Evaluate the expression for x = 0.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.Enter only a number in decimal form.

Review Lesson 1-2: Evaluate the expression for x = -3.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 0.Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.Enter only a number in decimal form.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number.

Vocabulary Review: Find the next number in the pattern.Enter only a number, in this format: 1/9.

Vocabulary Review: The next shape in the pattern below has __?__ blocks.Enter only a number to fill in the blank.

Use Your Vocabulary: Identify the graphs that represent a nonlinear function.Select all that apply.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! What is the ordered pair associated with 4 steps?

Solve It! What is the ordered pair associated with 5 steps?

Problem 2 Got It? Represent the relationship using words.

Problem 2 Got It? Represent the relationship using an equation.

Problem 2 Got It? Represent the relationship using a graph. NOTE: Not all points from the table must be on your graph.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Use Your Vocabulary: Identify the graphs that represent a nonlinear function.Select all that apply.

Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?
Enter a one-word response.

This set of ordered pairs represent a function.
What is a rule that represents this function?

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Review Lesson 1-2: Evaluate the expression for x = -3.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number, in this format: 1/9.

Vocabulary Review: The next shape in the pattern below has ? blocks.

Enter only a number to fill in the blank.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 1 Got It? Is the function represented by the table and graphed in the previous item linear or nonlinear?
Enter a one-word response.

Problem 2 Got It? Represent the relationship using a graph.
NOTE: Not all points from the table must be on your graph.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

This set of ordered pairs represent a function.
What is a rule that represents this function?

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Review Lesson 1-2: Evaluate the expression for x = -3.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 0.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for x = 2.5.
Enter only a number in decimal form.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number.

Vocabulary Review: Find the next number in the pattern.
Enter only a number, in this format: 1/9.

Vocabulary Review: The next shape in the pattern below has ? blocks.

Enter only a number to fill in the blank.

Use Your Vocabulary: Identify the graphs that represent a nonlinear function.
Select all that apply.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 2 Got It? Represent the relationship using a graph.
NOTE: Not all points from the table must be on your graph.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Use Your Vocabulary: Identify the graphs that represent a nonlinear function.
Select all that apply.