ohhs ~ geometry unit #1 “vocab, constructions...
TRANSCRIPT
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OHHS ~ Geometry Unit #1 “Vocab, Constructions & Transformations” OVERVIEW
Common Core Code
Common Core Standard Pacing Guide
G-CO-A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
3 classes of content 1 class of vocabulary 3 classes for project/review 1 class for quiz
Project & Quiz #1
G-CO-A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
7 classes of content 1 class for review 1 class for quiz
Quiz #2
G-CO-A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
5 classes of content 1 class for review 1 class for quiz
G-CO-A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G-CO-A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
G-CO-B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
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Quiz #3
G-CO-B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
5 classes of content 1 class for review 1 class for quiz
G-CO-B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Quiz #4
Unit 1 Project
2 classes for Project
Total: 33 DAYS
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OHHS ~ Geometry ~ Unit #1 “Vocab, Constructions & Transformations”
Learning Plan CCSS Required Assignments Track Your Progress
G-CO-A.1 Know precise definitions of
angle, circle, perpendicular
line, parallel line, and line
segment, based on the
undefined notions of point,
line, distance along a line, and
distance around a circular arc.
(Formative Assessments)
⃞ G-CO-A.1 Unpack Standard
⃞ G-CO-A.1 ~ Triple Entry Journal
⃞ Watch Sec 1-1 Video notes
⃞ Do Sec 1-1 #’s 13-19 odds, 20,
21-27 odds, 30-35 all (15
questions)
⃞ Watch Sec 1-3 Video notes
⃞ *Watch ‘ How Do I Measure An
Angle Using a Protractor? / 4th
Grade Math’ ONLY IF you forgot
how to use a protractor.
⃞ Do Sec 1-3 #’s 13-39 odds, 43,
50-53 (19 questions)
⃞ Do G.CO.A.1: Midpoint 1a
worksheet in packet #2
⃞ Do G.CO.A.1: Distance 1a
worksheet in packet #2
⃞ Watch Sec 1-4 Video Sec 1-4
Video notes
⃞ Do Sec 1-4 #’s 13-37 odds (13
questions)
⃞ Watch Sec 1-5 Video notes
⃞ Do Sec 1-5 #’s 11-29 odds, 31-35
all (15 questions)
⃞ Watch Sec 1-6 Video notes
⃞ Do Sec 1-6 #’s 12-24 all, 27, 29-34
all (20 questions)
Date:
Date:
Date:
Project over G-CO-A.1
(Summative Assessment) Students MUST score > 70.
❏ Unit 1 Vocabulary Scavenger
Hunt Project
Score/Date of 1st TRY:
Score/Date of 2nd TRY:
Date Completed:
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Quiz #1 over G-CO-A.1
(Summative Assessment) Students MUST score > 70.
Things you must now:
❏ Do you know the vocab
necessary from Ch 1? (point,
line, plane, collinear, coplanar,
line segment, congruent,
distance, midpoint, segment
bisector, degree, ray, opposite
rays, angle, sides of an angle,
vertex of an angle,
interior/exterior of an angle, right
angle, acute angle, obtuse angle,
angle bisector, adjacent angles,
vertical angles, linear pair,
complementary angles,
supplementary angles,
perpendicular lines, polygon,
concave, convex, regular
polygon, perimeter, circle,
parallel line, circle arc
(circumference)
Score/Date of 1st TRY:
Score/Date of 2nd TRY:
Date Completed:
G-CO-A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
⃞ G-CO-A.2 Unpack Standard
⃞ G-CO-A.2 ~ Triple Entry Journal
⃞ Watch Sec 9-1 Video notes called
How Do I Reflect a Figure? |
Common Core Geometry
Transformations
⃞ Do Sec 9-1 #’s 15-32 all, 35, 37
(20 questions)
⃞ Watch Sec 9-2 Video notes called
How Do I Translate a Figure? |
Common Core Geometry
Transformations
⃞ Do Sec 9-2 #’s 9-21 odds, 27 (8
questions)
⃞ G-CO-A.3 Unpack Standard
⃞ G-CO-A.3 ~ Triple Entry Journal
⃞ Watch Sec 9-3 Video notes called
How Do I Rotate a Figure? |
Common Core Geometry
Transformations
⃞ Do Sec 9-3 #’s 12-19 all, 22-24 all
(11 questions)
Date:
Date:
Date:
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⃞ G-CO-A.4 Unpack Standard
⃞ G-CO-A.4 ~ Triple Entry Journal
⃞ Watch Sec 9-5 video called How
Do I Dilate a Figure? | Common
Core Geometry Transformations
⃞ Do Sec 9-5 #’s 15-35 odds (11
questions)
⃞ Do ‘G-CO-A.2 All
Transformations’ worksheet in
packet #2
⃞ Do ‘G.CO.A.2: Identifying
Transformations 1’ worksheet in
packet #2
Quiz #2 over G-CO-A.2
(Summative Assessment) Students MUST score > 70.
Things you must now:
❏ Do you know your tricks (or how
to find your tricks) for the
following transformations:
❏ rx
❏ ry
❏ ry=x
❏ ry=−x
❏ ry=3
❏ rx=3
❏ or RR90 −270
❏ or RR180 −180
❏ or RR270 −90
❏ D2
❏ T 1, 2
❏ Do you know the
positive/negative rotational
direction?
❏ Do you know which
transformations are an isometry?
❏ Do you know which
transformations preserves
orientation?
❏ Do you know the difference
between similar and congruent?
Score/Date of 1st TRY:
Score/Date of 2nd TRY:
Date Completed:
G-CO-A.3 Given a rectangle, parallelogram, trapezoid, or
⃞ G-CO-A.3 Unpack Standard
⃞ G-CO-A.3 ~ Triple Entry Journal Date:
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regular polygon, describe the rotations and reflections that carry it onto itself.
⃞ Watch Symmetry - Reflection and
Rotation on Edmodo.
⃞ Do ‘G-CO-A.3 Rotational
Symmetry’ worksheet in packet
#2.
⃞ Do ‘G.CO.A.3: Mapping a Polygon
onto Itself’ in packet #2.
Date:
Date:
G-CO-A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
⃞ G-CO-A.4 Unpack Standard
⃞ G-CO-A.4 ~ Triple Entry Journal
⃞ Watch G-CO.A.4 Worksheets #1
& #2 - Translation Properties &
Characteristics on Edmodo
⃞ Watch G-CO.A.4 Worksheets #1
& #2 - Reflection Properties &
Characteristics on Edmodo
⃞ Watch G-CO.A.4 Worksheets #1
& #2 - Rotation Properties &
Characteristics on Edmodo
⃞ Do ‘G-CO-A.4 & G-CO-A.4
Geometry - Multiple
Transformations’ worksheet in
packet #2
Date:
Date:
Date:
G-CO-A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
⃞ G-CO-A.5 Unpack Standard
⃞ G-CO-A.5 ~ Triple Entry Journal
⃞ Watch video called 'Composition
of Transformations: Examples
(Geometry Concepts)' on
Edmodo
⃞ Do ‘Geometry Practice G.CO.A.5:
Compositions of Transformations
2’ worksheet in packet #2
Date:
Date:
Date:
G-CO-B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion
⃞ G-CO-B.6 Unpack Standard
⃞ G-CO-B.6 ~ Triple Entry Journal
⃞ Watch video called 'G-CO.B.6
Worksheet #1 - Congruent
Figures'
Date:
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on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
⃞ Do ‘G.CO.B.6: Properties of
Transformations 1’ worksheet in
packet #2
Date:
Date:
Quiz #3 over G-CO-A.3, G-CO-A.4, G-CO-A.5 &
G-CO-B.6
(Summative Assessment) Students MUST score > 70.
Things you must now:
❏ Can you identify lines of
symmetry?
❏ Can you identify the order of
rotational symmetry?
❏ Can you find the angle a regular
polygon can be rotated onto
itself?
❏ Can you perform a composite of
transformations?
❏ Can you identify which
transformations preserve
distance, orientation, collinearity
& angle measure?
Score/Date of 1st TRY:
Score/Date of 2nd TRY:
Date Completed:
G-CO-B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
⃞ G-CO-B.7 Unpack Standard
⃞ G-CO-B.7 ~ Triple Entry Journal
⃞ Watch video called 'G-CO.B.7
Worksheet #1 - Congruent
Triangles'
⃞ Do ‘G.CO.B.7: Triangle
Congruency’ worksheet in packet
#2
Date:
Date:
Date:
G-CO-B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
❏ G-CO-B.8 Unpack Standard
❏ G-CO-B.8 ~ Triple Entry Journal
❏ Watch video called ’'What are
the Triangle Congruence
Theorems?'
Date:
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❏ Watch video called ‘☆ Practice
with Geometry Proofs |
Congruent Triangles & CPCTC'
❏ Do ‘G-CO-B.8 SSS, SAS, ASA, and
AAS Congruence’ worksheet in
packet #2
❏ Do ‘G-CO-B.8 Proofs’ worksheet
in packet #2
Date:
Date:
Quiz #4 over G-CO-B.7 & G-CO-B.8
(Summative Assessment)
Students MUST score > 70.
Things you must know:
❏ Can you perform a composite of
transformations?
❏ Can you identify which
transformations preserve
distance, orientation, collinearity
& angle measure?
❏ Can you identify SSS, SAS, ASA,
AAS & HL triangle congruence
theorems?
❏ Can you finish triangle
congruence proofs?
❏ Do you know what CPCTC stands
for?
❏ Do you remember some major
vocabulary from earlier in the
unit to help with proofs like:
definition of isosceles triangle,
vertical angles, reflexive
property, midpoints, congruent,
bisector, radius, etc…
❏ Do you know the distance
formula?
❏ Do you know the slope formula?
Score/Date of 1st TRY: Score/Date of 2nd TRY: Date Completed:
Geometry Unit #1 Project
(Summative Assessment) Students MUST score > 70
⃞ Be sure to follow the scoring rubric so you can do it right the 1st time.
Score/Date of 1st TRY: Score/Date of 2nd TRY: Date Completed:
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iXL Practice & Review
(Located in the Geometry category.)
G-CO-A.1 B1, B2, B4, B5, B7, B8
G-CO-A.2 & G-CO-A.4 L1, L2, L3, L4, L5, L6, L7, L8, L9, L10, L11, L12, L13, L14, L15
G-CO-A.3 O1, O2, O3, O4
G-CO-B.8 J1, J2, J3, K1, K2, K3, K4, K5, K6, K7, K8, K9, K10, K11
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-A.1
1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of
point, line, distance along a line, and distance around a circular
arc.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Know
Angle
Circle
Perpendicular line
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Parallel line
Line segment
Point
Line
Plane
Distance
Circular arc
Acute angle
Adjacent angle
Angle bisector
Collinear
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Complementary angles
Concave
Congruent
Convex
Coplanar
Linear pair
Midpoint
Obtuse angle
Ray
Regular polygon
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Right angle
Segment bisector
Supplementary angles
Vertical angles
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Insert 1-1, 1-3, 1-4, 1-5, 1-6 notes here…..
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-A.2
2. Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe transformations
as functions that take points in the plane as inputs and give other
points as outputs. Compare transformations that preserve
distance and angle to those that do not (e.g., translation versus
horizontal stretch).
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Represent
Describe
Compare
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Transformations
Plane
Transparencies
Functions
Points
Inputs
Outputs
Translations
Horizontal stretch
Angle of rotation
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Center of rotation
Dilation
Isometry
Line of reflection
Line of symmetry
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EDMODO: G-CO-A.2: ☆ How Do I Reflect a Figure? | Common Core Geometry Transformations Notes
Topics Notes
Why is the word AMBULANCE
written backwards on the hood of an
ambulance? A REFLECTION is
a...
A REFLECTION is NOT a…
A REFLECTION is also NOT a change
in…
What are the common lines of
reflections? (Draw an example
of each.)
1) 2)
3) 4)
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G-CO-A.2: ☆ How Do I Reflect a Figure? | Common Core Geometry Transformations Notes (pg 2 continued……)
Topics Notes
What is NOTATION?
Examples of notations?
Practice Examples
REFLECT a POINT
REFLECT a SEGMENT
When reflecting a point, line or figure about a given line of symmetry. Plot the ordered pair (5, 4).
1) rx−axis 2) ry−axis
Plot the ordered pairs (4, 3) and (0, 7)
1) rx=−2 2) ry=3
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G-CO-A.2: ☆ How Do I Reflect a Figure? | Common Core Geometry Transformations Notes (pg 3 continued……)
Topics Notes
REFLECT a SEGMENT
REFLECT a TRIANGLE
Plot the ordered pairs B(7, 1), C(6 -6) and D(2, -5)
1) ry=x 2) ry=−x
What is the reflect over y=x line rule? What is the reflect over the y=-x line rule?
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EDMODO: G-CO-A.2: ☆ How Do I Translate a Figure? | Common Core Geometry Transformations
Topics Notes
What is a translation?
A TRANSLATION is
NOT….
A TRANSLATION is also NOT….
What is the proper NOTATION for
translating a point?
How to Translate a Line Segment
TIME OUT! What’s the MAIN
idea?
Plot the ordered pairs P(3, 0) and Q(6, -6).
1) T −8, 4
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G-CO-A.2: ☆ How Do I Translate a Figure? | Common Core Geometry Transformations (pg 2 continued…..)
Topics Notes
How to TRANSLATE a
FIGURE
Plot the points E(-8, -1), F(0, 2) and G(-3, -8). 1) T 6, −1
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EDMODO: G-CO-A.2: ☆ How Do I Rotate a Figure? | Common Core Geometry Transformations Notes
Topics Notes
What is a ROTATION?
ROTATION is NOT… ROTATION is NOT… What direction is a CLOCKWISE (CW)
rotation?
What direction is a COUNTER-
CLOCKWISE (CCW) rotation?
What are degrees of rotation? Draw the
positive and negative degree
examples.
What is the proper NOTATION for
rotation?
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G-CO-A.2: ☆ How Do I Rotate a Figure? | Common Core Geometry Transformations Notes (pg 2 continued…..)
Topics Notes
Example of ROTATING a POINT.
Explaining the ROTATING RULES for CCW rotation (AKA….tricks!).
Example #2 on
ROTATING POINT D(5, -8)
R−90 R−180 R−270
Using the ordered pair C(3, 6) 1) R90 2) R180 3) R270
Describe the trick for:
1) R90
2) R180
3) R270
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G-CO-A.2: ☆ How Do I Rotate a Figure? | Common Core Geometry Transformations Notes (pg 3 continued…..)
Topics Notes
Explaining the ROTATING RULES
for CW rotation (AKA….tricks!).
How to ROTATE a LINE SEGMENT?
How to ROTATE a FIGURE?
Plot the ordered pairs L(2, 6), M(8, 8) and
N(7, 4) 1) R180
Describe the trick for: 1) R−90
2) R−180
3) R−270
Plot the points E(-9, -8) and F(-4, -6)
1) R−90
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EDMODO: G-CO-A.2: ☆ How Do I Dilate a Figure? | Common Core Geometry Transformations Notes
Topics Notes
What is a DILATION?
DILATION is NOT….
DILATION is also NOT….
What is the proper DILATION
NOTATION?
What is a SCALE FACTOR?
What happens when: k = 1 k > 1 k < 1 Can ‘k’ be 0? Can ‘k’ be negative?
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G-CO-A.2: ☆ How Do I Dilate a Figure? | Common Core Geometry Transformations (pg 2 continued…..)
Topics Notes
How to DILATE a FIGURE?
TIME OUT! What’s the main
idea?
Example #2
Plot the points O(-4, 1), M(3, 2) and G(2, -2). 1) D2
Plot M(-9, 3), A(3, 3), S(6, -6) and H(-6, -6)
1) D31
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-A.3
3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Describe
Rectangle
Parallelogram
Trapezoid
Regular polygon
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Rotations
Reflections
Lines of symmetry
Rotational symmetry
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EDMODO: G-CO-A.3: Symmetry - Reflection and Rotation Notes
Topics Notes
Using the large isosceles triangle:
a) Label the 2 equal sides.
b) Draw and label the vertical
axis of symmetry.
c) Explain what symmetrical
means.
Example #2 Does this shape HAVE reflection
symmetry?
What is rotational symmetry?
This isosceles triangle has ______________ symmetry.
This shape has ________________ symmetry. The above shape is said to have rotational symmetry of _____________.
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G-CO-A.3: Symmetry - Reflection and Rotation Notes (pg 2 continued….)
Topics Notes
Find the ORDER of Rotational Symmetry.
ORDER? ➜
So REMEMBER…. A shape has Rotational
Symmetry IF:
Oval square equilateral triangle circle It looks EXACTLY like the original shape a number of times when rotated about the center point by 360°
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-A.4
4. Develop definitions of rotations, reflections, and translations in
terms of angles, circles, perpendicular lines, parallel lines, and
line segments.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Develop
Rotations
Reflections
Translations
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Angles
Circles
Perpendicular lines
Parallel lines
Line segments
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EDMODO: G-CO.A.4 Worksheets #1 & #2 - Reflection Properties & Characteristics Notes
Topics Notes
How do you reflect points over a line?
(Copy the example.)
Let’s look at the characteristics.
What happens when you reflect to the:
Example 1) Reflect
correctly 2) When you
connect A to A1, B to B1, and C to C1, what do you know about ALL 3 lines?
3) Label all the perpendicular bisectors?
Distances: Orientation: Special Points: If you’re on the line of reflection….
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EDMODO: G-CO.A.4 Worksheets #1 & #2 - Rotation Properties & Characteristics Notes
Topics Notes
How do you find the angle of rotation?
Rotation characteristics
If you connect (0, 0) with A and also with A1, that would be your angle of rotation. Distances: Orientation: Special Points:
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G-CO.A.4 Worksheets #1 & #2 - Rotation Properties & Characteristics (pg 2 continued…..)
Topics Notes
Example #1
Which direction of rotation is POSITIVE?
Which direction of
rotation is NEGATIVE?
Example #2
In this example, <AXA1 = <BXB1 = <CXC1
1) RO, −90 2) Rotating -90 would be the SAME as ____________
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G-CO.A.4 Worksheets #1 & #2 - Rotation Properties & Characteristics (pg 3 continued…..)
Topics Notes
What are coterminal angles?
Here is a picture of coterminal angles of
.45° (They all END at the
same spot.)
Special Rotation .180°
Give coterminal angles for .40° What is the ‘generic formula’ for the coterminal angles of
?40°
1) 2) 3)
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EDMODO: G-CO.A.4 Worksheets #1 & #2 - Translation Properties & Characteristics Notes
Topics Notes
Translation notation
Properties of Translating .AB
Example #1
Distances: What parallel lines are created?: When you perform a Translation, you create a ________. Orientation: Special points:
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G-CO.A.4 Worksheets #1 & #2 - Translation Properties & Characteristics (pg 2 continued…..)
Topics Notes
Example #2
Each letter MUST move the same direction and length of . Once you do that…..All distances & direction will be DE
the same.
If you were to connect A to A1 and B to B1 and C to C1, all lines will be the same length and be PARALLEL.
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-A.5
5. Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure using, e.g., graph
paper, tracing paper, or geometry software. Specify a sequence
of transformations that will carry a given figure onto another.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Draw
Specify
Geometric figure
Rotation
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Reflection
Translation
Transformed figure
Sequence of transformations
Composite
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EDMODO: G-CO.A.5 Composition of Transformations: Examples (Geometry Concepts) Notes
Topics Notes
Example A
Example B
Example C
What could be the ‘RULE’ in 1 step?
Plot A(2, 4), B(8, 8) and C(10, 2) Reflect over the y-axis and then translate the imageABCΔ 8 units down.
Write a single role for to from Example A.ABCΔ A B CΔ ′′ ′′ ′′ Graph points A(3, 6), B(8, 10) and C(10, 4), reflect ABCΔover y = 3 and y = -5.
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-B.6
6. Use geometric descriptions of rigid motions to transform figures
and to predict the effect of a given rigid motion on a given figure;
given two figures, use the definition of congruence in terms of
rigid motions to decide if they are congruent.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Use
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Transform
Predict
Decide
Geometric descriptions
Rigid motions
Congruence
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EDMODO: G-CO.B.6 Worksheet #1 - Congruent Figures Notes
Topics Notes
Definition of CONGRUENCE
Example
(Draw out to help show
understanding.)
Isometric ⬇
Sequence ⬇
Congruence
If I can map 1 onto the other using a sequence or single isometric transformation.
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Example
What does ABCD ≅ DEFG mean? What exactly is =? What do the 2 parts of the ≅ symbol represent?
≅
G-CO.B.6 Worksheet #1 - Congruent Figures (pg 2 continued….)
Topics Notes
Examples
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-B.7
7. Use the definition of congruence in terms of rigid motions to
show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of angles
are congruent.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
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4) Define content vocab.
Word Definition Picture and/or Example
Use
Show
Congruence
Rigid motions
Triangles
Corresponding pairs of sides
Corresponding pairs of angles
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EDMODO: G-CO.B.7 Worksheet #1 - Congruent Triangles
Topics Notes
Definition of Congruent Triangles
Examples
Two are ≅ if and only if a single or sequence ofsΔ′ isometric transformations map one onto the other.
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Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
G-CO-B.8
8. Explain how the criteria for triangle congruence (ASA, SAS, and
SSS) follow from the definition of congruence in terms of rigid
motions.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
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4) Define content vocab.
Word Definition Picture and/or Example
Explain
Follow
Triangle congruence
Rigid motions
EDMODO: G-CO.B.8 What are the Triangle Congruence Theorems? Notes
Topics Notes
What does ≅ mean?
Name the 5 TRIANGLE
CONGRUENCE Theorems.
Take a moment and highlight the 3
pieces that show you SSS, SAS, ASA,
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AAS, and HL.
Explain WHY SsA doesn’t work.
EDMODO: G-CO.B.8 ☆ Practice with Geometry Proofs | Congruent Triangles & CPCTC Notes
Topics Notes
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Triangle Proofs
Example 1
Example 2
Example 3
What does CPCTC stand for?
Unpacking Unit #1
“Solving Equations and Inequalities Unit” Standards
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G-CO-D.12
12. Make formal geometric constructions with a variety of tools
and methods (compass and straightedge, string, reflective
devices, paper folding, dynamic geometric software, etc.).
Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the
perpendicular bisector of a line segment; and constructing a line
parallel to a given line through a point not on the line.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Make
Copying
Bisecting
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Constructing
Geometric constructions
Compass
Straight edge
Reflective devices
Segment
Angle
Perpendicular lines
Perpendicular bisector of a line segment
Line
Parallel
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Point
EDMODO: G-CO.D.12 Construction 1: copying a segment Notes
Topics Notes
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Copying a Segment
EDMODO: G-CO.D.12 Line Segment Bisector Construction Notes
Topics Notes
Line Segment Bisector
Construction
EDMODO: G-CO.D.12 Same (congruent) Angle Construction Notes
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Topics Notes
Same (congruent) Angle Construction
EDMODO: G-CO.D.12 Angle Bisector Construction Notes
Topics Notes
Angle Bisector Construction
EDMODO: G-CO.D.12 Parallel Line through a Point Construction Notes
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Topics Notes
Parallel Line through a Point Construction
EDMODO: G-CO.D.12 Perpendicular to a Point NOT on a Line Construction Notes
Topics Notes
Perpendicular to a Point NOT on a Line
Construction
EDMODO: G-CO.D.12 Perpendicular to a Point on a Line Construction Notes
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Topics Notes
Perpendicular to a Point on a Line Construction
Unpacking Unit #1
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“Solving Equations and Inequalities Unit” Standards
G-CO-D.13
13. Construct an equilateral triangle, a square, and a regular
hexagon inscribed in a circle.
How to unpack the standard:
1) Highlight verbs.
2) Define the verbs.
3) Underline content vocab.
4) Define content vocab.
Word Definition Picture and/or Example
Construct
Inscribed
Equilateral triangle
Square
Regular hexagon
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Circle
EDMODO: G-CO.D.13 Equilateral Triangle OR 60 degree angle Construction Notes
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Topics Notes
Equilateral Triangle OR 60 degree angle
Construction
EDMODO: G-CO.D.13 Constructing a Regular Hexagon in a Circle Notes
Topics Notes
Constructing a Regular Hexagon in
a Circle
EDMODO: G-CO.D.13 Construct a Square.avi Notes
Topics Notes
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Construct a Square