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Algebra 1 4-2 Complete Lesson: Patterns and Linear Functions

By Matt Richardson
Last updated almost 3 years ago
32 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.

Solve It! Identify quantities in the picture that vary in response to other quantities. Select all that apply.

Problem 1 Got It? Complete the items on the canvas in a color other than black.

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

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Problem 1 Got It? Reasoning: Suppose you know the perimeter of n triangles. What would you do to find the perimeter of n + 1 triangles?

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Problem 2 Got It? Complete the items on the canvas in a color other than black.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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Graph the set of ordered pairs on the same coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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Audio Response: Describe the pattern shown in your graph from the previous item.

F.IF.4
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Graph the set of ordered pairs on the same coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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Graph the set of ordered pairs on the same coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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What perimeter fills in the box?

What perimeter fills in the box? Enter only the number.

What perimeter fills in the box?Enter only the number.

What number of squares fills in the box? Enter only the number.

Write an expression to represent the perimiter in terms of the number of squares, n.

Vocabulary: The amount of toothpaste in a tube decreases each time you brush your teeth. Identify the independent variable in this relationship.

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Vocabulary: The amount of toothpaste in a tube decreases each time you brush your teeth. Identify the dependent variable in this relationship.

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Reasoning: Does set a represent a function?

Explain.

Reasoning: Does set b represent a function?

Explain.

Reasoning: Does set c represent a function?

Explain.

Reasoning: Does the graph represent a function?

Explain.

Reasoning: Does the graph represent a linear function?

Explain.

Review Lesson 4-1: A spring day begins cool and warms up as noon approaches. The temperature levels off just after 2 PM. It drops more and more rapidly as sunset approaches. Draw a sketch of a graph that shows the possible temperature during the course of the day. Be sure to include relevant graph detail and label each section.

Vocabulary Review: A function is a relationship that pairs each input value with exactly one output value. Categorize each relationship.

  • Relation A
  • Relation B
  • Relation C
  • Function
  • Not a function
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Use Your Vocabulary: Determine whether the first variable in each statement is dependent or independent.

  • the growth of a plant and the light the plant receives
  • the length of a pool and the time it takes to swim 1 lap
  • the number of books a shelf holds and the length of the shelf
  • Dependent
  • Independent

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

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