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.
5 points
5
Question 1
1.
Solve It! In the diagram, the point (3, 2) is rotated counterclockwise about the origin. The point (x₁, y₁) is the result of a 90° rotation. What are the coordinates of (x₁, y₁)?
5 points
5
Question 2
2.
Solve It! The point (x₂, y₂) is the result of a 180° rotation. What are the coordinates of (x₂, y₂)? Enter only the coordinates in your response. Include a space after the comma.
5 points
5
Question 3
3.
Solve It! The point (x₃, y₃) is the result of a 270° rotation. What are the coordinates of (x₃, y₃)? Enter only the coordinates in your response. Include a space after the comma.
10 points
10
10 points
10
Question 5
5.
Problem 1 Got It? Draw the image of △LOB for a 50° rotation about B. Use blue or green for the image and label L', O', and B'.
10 points
10
Question 6
6.
Problem 2 Got It? Graph the rotation on the canvas.
20 points
20
Question 7
7.
Problem 3 Got It? Can you use the properties of rotations to prove that WXYZ is a rhombus? Explain.
10 points
10
Question 8
8.
Graphing: Draw the indicated rotation of △ABC on the canvas. Use blue or green for the image and label A', B', and C'.
10 points
10
Question 9
9.
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Question 10
10.
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10
Question 11
11.
Vocabulary: △A'B'C' is a rotation of △ABC about point O. Describe how to find the angle of rotation.
10 points
10
Question 12
12.
Error Analysis: A classmate drew a 115° rotation of △PQR about point P, as shown. Explain your classmate's error.
10 points
10
Question 13
13.
Compare and Contrast: Compare rotating a figure about a point to reflecting the figure across a line. How are the transformations alike? How are they different?
10 points
10
Question 14
14.
Reasoning: Point P(x, y) is rotated about the origin by 135° and then by 45°. What are the coordinates of the image of point P? Explain.
10 points
10
Question 15
15.
Review Lesson 9-2: △BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the y-axis in green or blue. Label all vertices.
10 points
10
Question 16
16.
Review Lesson 9-2: △BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the x-axis in green or blue. Label all vertices.
10 points
10
Question 17
17.
Review Lesson 9-2: △BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the line x = 2 in green or blue. Label all vertices.
10 points
10
Question 18
18.
Review Lessons 8-2 & 8-3: Find the value of x. Round your answer to the nearest tenth and include units in the same format shown in the diagram.
10 points
10
Question 19
19.
Review Lessons 8-2 & 8-3: Find the value of x. Round your answer to the nearest tenth and include units in the same format shown in the diagram.
10 points
10
Question 20
20.
Review Lessons 9-2 & 9-3: What are the coordinates of the image of point A(-2, 3) after two 90° rotations about the origin? Enter only the coordinates and include a space after the comma.
10 points
10
Question 21
21.
Review Lessons 9-2 & 9-3: What are the coordinates of the image of point T(3, 0) after a reflection across the y-axis followed by a 180° rotation about the origin? Enter only the coordinates and include a space after the comma.
10 points
10
Question 22
22.
Review Lessons 9-2 & 9-3: The image of point H after a 90° rotation about the origin followed by a reflection across the x-axis is K(3, 2). What are the coordinates of H? Enter only the coordinates and include a space after the comma.
10 points
10
Question 23
23.
Vocabulary Review: What is the name of the tool shown here? Enter a one-word response.
10 points
10
Question 24
24.
Vocabulary Review: Draw a line segment on the protractor to represent each angle measure. Then label the angle measures and classify each as acute, right, or obtuse.
5 points
5
Question 25
25.
Use Your Vocabulary: Does the pair of figures show a rotation? Hint: this refers to the entire figure.
5 points
5
Question 26
26.
Use Your Vocabulary: Does the pair of figures show a rotation?
5 points
5
Question 27
27.
Use Your Vocabulary: Does the pair of figures show a rotation?
