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03 Geometry Long Range Plans 2024-2025
Semester 1 (41 A–days, 41 B–days)
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DayDateLearning TargetsTextStandardAssessments and ActivitiesNotes
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Topic #1 - Foundations of Geometry (7+1 days)
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Higher Order Questions:
•In what ways can congruence be useful?
•How can relationships between angles be used to solve problems?
•How can relationships between segments be used to solve problems?		Vocabulary: congruent, collinear points, coplanar points, line, segment, angle, ray, point, postulate, midpoint, perpendicular, bisect, angle bisector, perpendicular bisector, conditional statement, hypothesis, conclusion, vertical angles, linear pair, complementary, supplementary, right angle, acute angle, obtuse angleTheorems/Postulates:
•Segment Addition Postulate
•Angle Addition Postulate
•Vertical Angle Theorem
•Linear Pair Theorem
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LINK TO MILC ACTIVITIES FOR TOPIC #1
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1A:
B: 		8/14
8/15		•Demonstrate mastery of Algebra 1 skills•Opening day activities
•Course Pre-Test Review
•Poof Book for Pre-requisite Skills
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2A:
B: 		8/16
8/19		•Identify basic geometric symbols
•Correctly name geometric figures
•Identify and describe collinear and coplanar points		1–1aKY.HS.G.1•Make A Poster Project
•Naming Figures Task Cards		Include noncollinear and noncoplanar points
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3A:
B: 		8/20
8/21		•Use the Segment and angle Addition Postulates to find measures1–1bKY.HS.G.1
KY.HS.G.6		­
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4A:
B: 		8/22
8/26		•Use the midpoint and distance formulas to solve problems1–3KY.HS.G.23­•Lesson Quiz 1–1aInclude angle bisector problems with this section (covered a little in 1–2 but you will need to supplement) and partitioning a segment
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5A:
B: 		8/27
8/28		•Rewrite a statement in conditional form (identify hypothesis and conclusion)
•Write the converse of a statement		1–5KY.HS.G.6•Lesson Quiz 1–1b
•Course Pre–Test
•Desmos Activity
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6A:
B: 		8/29
8/30		•Apply properties of vertical angles and linear pairs to find missing values
•Solve problems involving complementary and supplementary angles		1–7KY.HS.G.6­ •Lesson Quiz 1–3Include finding complements and supplements (book assumes students know this and does not cover it)
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7A:
B: 		9/3
9/4		•All Topic #1 Learning TargetsALLALL­•Lesson Quiz 1–5
•Review day activities
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8A:
B: 		9/5
9/6		•All Topic #1 Learning TargetsALLALL­ •Topic #1 Exam
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Topic #2 - Parallel and Perpendicular Lines (6 days)
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Higher Order Questions:
•What relationships are formed when parallel lines are cut by a transversal?
•How can I prove lines parallel?
•How can I use slope to solve problems involving parallel and perpendicular lines?
Vocabulary: parallel, coplanar, transversal, corresponding angles, alternate exterior angles, alternate interior angles, same–side interior angles Theorems/Postulates:
•Same-Side Interior Angles Postulate
•Alternate Interior Angles Theorem
•Corresponding Angles Theorem
•Alternate Exterior Angles Theorem
•Parallel lines have equal slopes
•Perpendicular lines have opposite reciprocal slopes (in other words, the product of slopes equals –1)
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LINK TO MILC ACTIVITIES FOR TOPIC #2
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9A:
B: 		9/9
9/10		•Identify four pairs of angles formed by coplanar lines and a transversal
•Solve problems involving the measures of special angle pairs formed by parallel lines		2-1KY.HS.G.6
KY.HS.G.7		­•City Designer Activity (count as a formative quiz grade)
•Special Angle Pairs Foldable		Make sure to define parallel lines as “two coplanar lines that never intersect” (enVision doesn’t define this and it is on our test)
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10A:
B: 		9/11
9/12		•Prove that two lines are parallel2-2KY.HS.G.6
KY.HS.G.7
KY.HS.G.31		•Desmos Lesson Check
•Desmos Lesson Check - 2-column Proofs		Given a diagram students will justify their reasoning as to whether or not the lines are parallel (refer to the questions on the unit review and exam as we are not writing proofs like the book does)
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11A:
B: 		9/13
9/16		•Classify triangles by their sides and angles
•Find missing angles in triangles using the Triangle Angle–Sum Theorem
•Find missing angles in triangles using the Exterior Angle Theorem		2-3KY.HS.G.6
KY.HS.G.7		­ •Triangle Sum ExplorationSupplement classifying triangles by sides and angles
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12A:
B: 		9/17
9/18		•Find the slope between two points
•Use slope to identify parallel and perpendicular lines in the coordinate plane
•Write equations of parallel and perpendicular lines		2-4KY.HS.G.1
KY.HS.G.22		­ •Lesson Quiz 2–1Make sure to emphasize that opposite reciprocals multiply to = –1 (this is how envision identifies perpendicular slopes on the common assessment)
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13A:
B: 		9/19
9/20		•All Topic #2 Learning TargetsALLALL­ •Lesson Quiz 2–2
­•Review day activities		3 ACT Math Task: Parallel Paving Company
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14A:
B: 		9/23
9/24		•All Topic #2 Learning TargetsALLALL•Topic #2 Exam
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Topic #4/5 - Triangle Congruence & Relationships in Triangles (8 days)
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Higher Order Questions:
•How can I use rigid motion to prove figures congruent?
•How can I use properties of isosceles and equilateral triangles to solve for missing values?
•How can I determine whether or not 3 side lengths can form a triangle?
•How can I prove a line is a perpendicular bisector?
•How can I prove a ray is an angle bisector?

Vocabulary: acute, obtuse, right, equiangular, equilateral, isosceles, scalene, congruence statement, legs of isosceles triangle, base angles, vertex angle, included angle, included side, non-included side, hypotenuse, legs of right triangle, median, altitude, perpendicular bisector, angle bisectorTheorems/Postulates:
•Reflexive Property
•Isosceles Triangle Theorem
•Converse of Isosceles Triangle Theorem
•Side–Side–Side (SSS)
•Side–Angle–Side (SAS)
•Angle–Side–Angle (ASA)
•Angle–Angle–Side (AAS)
•Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
•Hypotenuse–Leg Theorem (HL)
•Perpendicular Bisector Theorem
•Pythagorean Theorem
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LINK TO MILC ACTIVITIES FOR TOPIC #4 and TOPIC #5
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15A:
B: 		9/25
9/26		•Write congruence statements identifying corresponding parts of congruent figures4–1KY.HS.G.6­•Congruence Statement Relay RaceSTEM Task: "Design a Bridge"
Include overlapping triangles (4–6)
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16A:
B: 		9/27
10/7		•Use properties of isosceles triangles to find missing sides and angles
•Use properties of equilateral triangles to find missing sides and angles		4–2KY.HS.G.6­•Lesson Quiz 2–3
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17A:
B: 		10/8
10/9		•Use properties of isosceles triangles to find missing sides and angles
•Use properties of equilateral triangles to find missing sides and angles		4–3
4–4		KY.HS.G.5
KY.HS.G.6		­•Lesson Quiz 4–1Include overlapping triangles (4–6) and write simple two column proofs
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18A:
B: 		10/10
10/11		•Prove that two triangles are congruent (include HL)
•Define, identify, and sketch a median and altitude of a triangle		4–5
5–3		KY.HS.G.5
KY.HS.G.6		­•Lesson Quiz 4–2No points of concurrency; just identify/sketch median and altitude
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19A:
B: 		10/14
10/15		•Determine if three segments can form a triangle
•Given the angles/sides of a triangle, order the sides/angles from shortest to longest		5–4KY.HS.G.6•Lesson Quiz 4–3/4–4
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20A:
B: 		10/16
10/17		•Use the Angle Bisector Theorem to find missing values in triangles
•Use the Perpendicular Bisector Theorem to find missing values in triangles		5–1KY.HS.G.6Make sure to review the Pythagorean Theorem with Perpendicular Bisector problems
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21A:
B: 		10/18
10/21		•All Topic #4/5 Learning TargetsALLALL­ •Lesson Quiz 5–4
­•Review activities
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22A:
B: 		10/22
10/23		•All Topic #4/5 Learning TargetsALLALL­ •Topic #4/5 Exam
•A Whale of a Time Step #1		Graph the pre-image for the performance task for Topic #3 for homework tonight
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23A:
B: 		10/24
10/25		FLEX DAY FOR PSAT
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24A:
B: 		10/28
10/29		FLOATING FLEXIBLE DAY (Use if/when needed)
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Topic #3 - Transformations (7 days)
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Higher Order Questions:
•How can transformations be used to generate new, congruent figures?
•How can I perform a reflection with/without the coordinate plane?
•How can I perform a rotation with/without the coordinate plane?
•How can I perform a translation?
•How can I perform a dilation?
Vocabulary: preimage, image, reflection, rotation, translation, vector, component form, composition of transformations, glide reflection, dilation, scale factor, line of symmetry, rotational symmetry, point symmetryTheorems/Postulates:
•Reflection in x–axis
•Reflection in y–axis
•Reflection in y = x
•Rotation 90° counterclockwise about origin
•Rotation 270° counterclockwise about origin
•Rotation 180° about origin
•Translations (left/right/up/down)
•Compositions of transformations (including glide reflection)
•Dilations (enlarge/reduce)
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LINK TO MILC ACTIVITIES FOR TOPIC #3
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25A:
B: 		10/30
10/31		•Identify the 3 basic rigid transformations
•Perform reflections in the coordinate plane		3-1KY.HS.G.2
KY.HS.G.4		•A Whale of a Time Step #2-3STEM Task: "Create an Animation"
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26A:
B: 		11/1
11/4		•Perform translations in the coordinate plane
•Describe a translation using coordinate notation and component form of a vector		3-2KY.HS.G.2
KY.HS.G.4		•A Whale of a Time Step #4
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27A:
B: 		11/6
11/7		•Perform rotations in the coordinate plane3-3KY.HS.G.2
KY.HS.G.4		•A Whale of a Time Step #5Remember rotations are always counterclockwise
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28A:
B: 		11/8
11/11		•Perform compositions of transformations including a glide reflection3-4KY.HS.G.2
KY.HS.G.4		•A Whale of a Time Step #6Remember do the transformations in reverse order from the notation
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29A:
B: 		11/12
11/13		GEOMETRY STANDARD BENCHMARK ASSESSMENT #1 (Testing Window 11/11-11/22)
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30A:
B: 		11/14
11/15		•Sketch/identify lines of symmetry in a figure
•Describe a rotation that will carry a figure onto itself
•Dilate a figure in the coordinate plane		3-5
7-1*		KY.HS.G.2
KY.HS.G.4
KY.HS.G.9		•A Whale of a Time Step #7-8*If pressed for time, 7-1 can be taught 2nd semester with Topic #7. Only do dilations from the origin.
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31A:
B: 		11/18
11/19		•Describe the transformations that will carry a preimage onto an imageALLKY.HS.G.2
KY.HS.G.4		­ •FAL: Representing and Combining Transformations
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32A:
B: 		11/20
11/21		•All Topic #3 Learning TargetsALLALL•Topic #3 QuizOption: use whale as test grade, drop this day
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Final Exam Review and Intro to Quadrilaterals
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33A:
B: 		11/22
11/25		•I can use coordinate geometry to solve problems involving triangles and quadrilaterals6-4
9-1		KY.HS.G.21Use slope, distance, and/or midpoint formula to classify triangles, quadrilaterals, determine coordinates of a the endpoint of a median, etc. For example, "Prove that the quadrilateral is a rectangle by showing the diagonals are congruent" or "Prove that the quadrilateral is a parallelogram by showing its opposite sides are parallel."
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34A:
B: 		11/26
12/2		SUGGESTED REVIEW OVER PERIMETER AND PLANE AREA IN PREPARATION FOR TOPIC #11 AND BENCHMARK ASSESSMENT #2
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35A:
B: 		12/3
12/4		ADDITIONAL ACTIVITIES: CONSTRUCTIONS (Patty Paper, Geometers' SketchPad, compass/straightedge)
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36A:
B: 		12/5
12/6		FLEXIBLE DAY
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37A:
B: 		12/9
12/10		FLEXIBLE DAY
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38A:
B: 		12/11
12/12		FLEXIBLE DAY
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39A:
B: 		12/13
12/16		Final Exam Review
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40A:
B: 		12/17
12/18		Final Exams
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41A:
B: 		12/19
12/20
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