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Symmetry and the Coordinate Plane Problem of the (City of Oakland)

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Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
MPs
Applied MP
* Embedded MP
Symmetry and the
Coordinate Plane
Procedural Lesson
Grade 6 · Unit 3 · Lesson 5
MC: 6.NS.6b
1 2 3 4 5 6 7 8
*
* *
*
*
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
IV III
I II
● ● ●
Z (4, -8)
● ●
(-4, 8) Y
●
A (2, 6)
●
B (2, -6)
Steps:
1. Identify the ordered pairs on the grid.
2. Identify which axis acts as the line of
symmetry.
3. Identify the quadrant in which the points
are located, and determine how they are
related.

Problem of the Day
Objective:
Vocabulary Notes
Line of symmetry: a line that divides a figure in
such a way that it can be folded along the line
into matching parts
Reflection: a symmetrical point across the x– or
y– axis, or both axes
Points A (2, 6) and B (2, -6) are
reflected
over
the
x-axis
. The
x-axis
acts as a line of
symmetry.
Points Y (-4, 8) and Z (4, -8) are
reflected over
both
the
x-
and
y-axes
.
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
1. P (6, 1) is in Quadrant .
M (6, -1) is in Quadrant .
Points P and M are reflected
over .
2. H (2, 1) is in Quadrant .
Y (-2, 1) is in Quadrant .
Points H and Y are reflected
over .
Structured Guided Practice
(A / B Partners Practice)
Directions: Plot and label each point on the coordinate plane. Identify the quadrant in
which the points are located and describe their relationship.
MP1: How would you describe a reflection?
MP2: How does the relationship of the values in two coordinate pairs help you identify
the line of symmetry?
0
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Final Check for Understanding
(Teacher Checks Work)
Directions: Plot and label each point on the coordinate plane. Identify the quadrant in
which the points are located and describe their relationship.
1. F (-4, -2) is in Quadrant .
E ( 4, -2 ) is in Quadrant .
Points F and E are reflected
over .
2. B (6, -4) is in Quadrant .
V (-6, 4) is in Quadrant .
Points B and V are reflected
over .
0
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Name: ____________________________
Date: ______________________________
Student Practice
Unit 3 Lesson 5: Symmetry and the Coordinate
Plane
Directions: Plot and label each point on the coordinate plane. Identify the quadrant in
1. X (-5, -2) is in Quadrant .
R (-5, 2) is in Quadrant .
Points X and R are reflected
over .
2. N (2, -2) is in Quadrant .
M (-2, -2) is in Quadrant .
Points N and M are reflected
over .
0
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Student Practice
Unit 3 Lesson 5: Symmetry and the Coordinate
Plane
3. E (-1, 5) is in Quadrant .
T (1, -5) is in Quadrant .
Points E and T are reflected
over .
4. F (6, 2) is in Quadrant .
G (-6, 2) is in Quadrant .
Points F and G are reflected
over .
5. Y (-5, -5) is in Quadrant .
J (5, 5) is in Quadrant .
Points Y and J are reflected
over .
6. A (2, 1) is in Quadrant .
L (2, -1) is in Quadrant .
Points A and L are reflected
over .
0
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Challenge Problems
1. What would be the opposing ordered pair of (0, 0), and at what point and
quadrant would it be located?
2. Janet wrote that the point on the
coordinate plane was (-4, 3), and
identified it as being in Quadrant II.
Explain her errors.
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
0
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Extension Activity
Directions: Read and follow directions.
Extension Activity
*
MP4: Apply mathematics in everyday life.
Create 1 ordered pair. Have your partner plot the points on a coordinate
grid and identify three points related to your ordered pairs.
a. The point reflected over the
x-axis
b. The point reflected over the
y-axis
c. The point reflected over both axes.
0
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Copyright © Swun Math Grade 6 Unit 3 Lesson 5 P SJ
Closure
Closure
Closure
Recap today’s lesson with one or more of the following questions:
MP1: How would you describe a reflection?
MP2: How does the relationship of the values in two coordinate pairs
help you identify the line of symmetry?
Reaching Consensus
*MP3: Do you agree/disagree with what said?
Student Presentations
*MP6: How do you know your answers are correct/reasonable?
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Symmetry and the Coordinate Plane Problem of the (City of Oakland)

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Completed 15 October 2021

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