Algebra 2 4-8 Complete Lesson: Complex Numbers

Posljednje ažuriranje over 4 years ago

Napomena autora:

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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A.REI.4.b

F.IF.7.a

A.REI.12

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100

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Algebra 2 4-8 Complete Lesson: Complex Numbers

Posljednje ažuriranje over 4 years ago

Napomena autora:

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

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Problem 1 Got It? How do you write the number by using the imaginary unit i ?

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Problem 1 Got It? How do you write the number by using the imaginary unit i ?

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Problem 1 Got It? Reasoning: Explain why the two radicals below are not equivalent.

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Problem 2 Got It? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.
5 - i
-3 - 2i
1 + 4i

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Problem 2 Got It? Match each complex number with its absolute value.

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Problem 3 Got It? Evaluate the expression below.

Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Problem 4 Got It?

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Problem 4 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 6 Got It?

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Problem 6 Got It?

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Problem 7 Got It?

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Problem 7 Got It?

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Error Analysis: Describe and correct the error made in simplifying the expression

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Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

A.REI.4.b

Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

A.REI.4.b

Review Lesson 4-1: Graph the function. Click to label the vertex and all x- and y-intercepts. Zoom and pan your graph to establish an appropriate viewing window. Take a screenshot of your graph.

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.

F.IF.7.a

Review Lesson 4-1: Upload the screenshot you took in the previous item to the canvas and draw the axis of symmetry of the parabola using a contrasting color. Label the axis of symmetry with its equation.

F.IF.7.a

Review Lesson 2-3: Match each equation with its description.

y = -3x - 4
y = -4x + 3
y = 3x - 4

m = 3 and the y-intercept is -4
m = -4 and the y-intercept is 3
m = -3 and the y-intercept is -4

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.

A.REI.12

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.

A.REI.12

Vocabulary Review: Which square root is not a real number ?

Use Your Vocabulary: Categorize each pair of numbers.

Complex conjugates
NOT complex conjugates

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100

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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Algebra 2 4-8 Complete Lesson: Complex Numbers

Algebra 2 4-8 Complete Lesson: Complex Numbers

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? Reasoning: Explain why the two radicals below are not equivalent.

Problem 2 Got It? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.5 - i-3 - 2i1 + 4i

Problem 2 Got It? Match each complex number with its absolute value.

Problem 3 Got It? Evaluate the expression below.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 7 Got It?

Problem 7 Got It?

Error Analysis: Describe and correct the error made in simplifying the expression

Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

Review Lesson 4-1: Graph the function. Click to label the vertex and all x- and y-intercepts. Zoom and pan your graph to establish an appropriate viewing window. Take a screenshot of your graph.

Review Lesson 4-1: Upload the screenshot you took in the previous item to the canvas and draw the axis of symmetry of the parabola using a contrasting color. Label the axis of symmetry with its equation.

Review Lesson 2-3: Match each equation with its description.

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Vocabulary Review: Which square root is not a real number ?

Use Your Vocabulary: Categorize each pair of numbers.

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

For these items, enter only a, b, c, or d.

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? How do you write the number by using the imaginary unit i ?

Problem 1 Got It? Reasoning: Explain why the two radicals below are not equivalent.

Problem 2 Got It? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.5 - i-3 - 2i1 + 4i

Problem 2 Got It? Match each complex number with its absolute value.

Problem 3 Got It? Evaluate the expression below.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 7 Got It?

Problem 7 Got It?

Error Analysis: Describe and correct the error made in simplifying the expression

Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

Review Lesson 4-7: Solve the equation using the Quadratic Formula. Show your work on the canvas.

Review Lesson 4-1: Graph the function. Click to label the vertex and all x- and y-intercepts. Zoom and pan your graph to establish an appropriate viewing window. Take a screenshot of your graph.

Review Lesson 4-1: Upload the screenshot you took in the previous item to the canvas and draw the axis of symmetry of the parabola using a contrasting color. Label the axis of symmetry with its equation.

Review Lesson 2-3: Match each equation with its description.

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.

Vocabulary Review: Which square root is not a real number ?

Use Your Vocabulary: Categorize each pair of numbers.

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

For these items, enter only a, b, c, or d.

Problem 2 Got It? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.
5 - i
-3 - 2i
1 + 4i

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? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.
5 - i
-3 - 2i
1 + 4i

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.