ohhs ~ geometry unit #1 “vocab, constructions...

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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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Page 1: OHHS ~ Geometry Unit #1 “Vocab, Constructions ...ohhsmrtb.pbworks.com/w/file/fetch/128366061/Geometry Unit...around a circular arc. 3 classes of content 1 class of vocabulary 3 classes

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