Geometry Pacing Guide
2nd Semester
Day 1 - (Jan 27) Lessons 1.2 & 1.3, & Geo Terms & Segments
Day 2 - (Jan 28) Lesson 1.4 Angles
Day 3 – (Jan 29) Lessons 1.5 & 1.6, Bisectors & Angle Pair Relationships
Day 4 – (Jan 30) Review & Quiz
Day 5 - (2 Feb) Lesson 1.7, Perimeter, Circumference, and Area
Day 6 - (3 Feb) Extra Day for 1.7
Day 7 - (4 Feb) Review
Day 8 - (5 Feb) Exam
Day 9 - (6 Feb) Lessons 2.1 & 2.2, Conditional, and Biconditional Statements
Day 10 - (9 Feb) Lessons 2.3 & 2.4 Deductive Reasoning and Algebra Properties
Day 11 - (10 Feb) Lessons 2.4 & 2.5, Properties and Proofs
Day 12 - (11 Feb) Lesson 2.6, Proofs
Day 13 - (12 Feb) Review
Day 14 - (13 Feb) Exam
Day 15 - (16 Feb) Algebra I Review & 3.1, Parallel Lines
Day 16 - (17 Feb) Lesson 3.2, 3.3 & 3.4, Parallel Lines
Day 17 - (18 Feb) Lesson 3.5 Proofs
Day 18 - (19 Feb) Review and Quiz
Day 19 - (20 Feb) Computer Lab - Exams #s 1, 2, 3
Day 20 - (23 Feb) Lessons 3.6 & 3.7, Parallel/Perpendicular Review
Day 21 - (24 Feb) Review & Exam
Day 22 - (25 Feb) Lessons 4.1 & 4.2 Triangles Congruency
Day 23 - (26 Feb) Lessons 4.3 & 4.4, Triangle Congruency
Day 24 - (27 Feb) Lessons 4.5 & 4.6, Triangle Congruency
Day 25 - (2 Mar) Review
Day 26 - (3 Mar) Exam
Day 27 - (4 Mar) Lesson 5.1 Perpendicular Bisectors
Day 28 - (5 Mar) Lessons 5.2, & 5.3 Triangles
Make-Up Day - (6 Mar) - Extra Credit Worksheet
Day 29 - (9 Mar) Lessons 5.4, 5.5, & 5.6, Triangle Inequalities
Day 30 - (10 Mar) 10th Grade Writing Exam
Day 31 - (11 Mar) Review
Day 32 - (12 Mar) Exam
Day 33 - (13 Mar) Lessons 6.1, 6.2 & 6.3, Polygons are Parallelograms
Day 34 - (16 Mar) Lessons 6.4 & 6.5, Quadrilaterals
Day 35 - (17 Mar) Lessons 6.6 & 6.7, Special Quadrilaterals & Areas
Day 36 - (18 Mar) Review
Day 37 - (19 Mar) Computer Lab
Day 38 - (20 Mar) Exam
Day 39 - (23 Mar) Lessons 7.1, 7.2, & 7.3, Transformations
Day 40 - (24 Mar) Lessons 7.4 & 7.5, Transformations and Compositions
Day 41 - (25 Mar) Appendix 2, Matrices
Day 42 - (26 Mar) Review
Day 43 - (27 Mar) Computer Lab
Day 44 - (30 Mar) Exam
Day 45 - (31 Mar) Review
Day 46 - (1 Apr) Midterms 1st and 3rd Periods
Day 47 - (2 Apr) Midterms 2nd and 4th Periods
Day 48 - (13 Apr) Lessons 8.1 & 8.2 Ratios and Proportions
Day 49 - (14 Apr) Lessons 8.3, 8.4, & 8.5, Similar Polygons
Day 50 - (15 Apr) Review & Quiz
Day 51 - (16 Apr) Lessons 8.6 & 8.7, Proportions and Dilations
Day 52 - (17 Apr) Review
Day 53 - (20 Apr) Exam
Day 54 - (21 Apr) Lesson 9.1, Right Triangle Similarity
Day 55 - (22 Apr) Lessons 9.2 & 9.3 Pythagorean Theorem
Day 56 - (23 Apr) Lesson 9.4, Special Right Triangles
Day 57 - (24 Apr) Review and Quiz
Day 58 - (27 Apr) Lesson 9.5, Trigonometric Functions
Day 59 - (28 Apr) Extra Day 9.5
Day 60 - (29 Apr) Lesson 9.6, Trigonometric Inverse Functions
Day 61 - (30 Apr) Extra Day 9.6
Day 62 - (1 May) Review and Quiz
Day 63 - (4 May) Computer Lab
Day 64 - (5 May) Exam
Day 65 - (6 May) Lessons 10.1 & 10.2, Tangents to Circles, Arcs and Chords
Day 66 - (7 May) Lessons 10.3 & 10.4, Inscribed Angles
Day 67 - (8 May) Lessons 10.5 & 10.6, Segment Lengths and Circles
Day 68 - (11 May) Review
Day 69 - (12 May) Exam
Day 70 - (13 May) Lessons 11.1 & 11.2, Angle Measurements in Polygons & Areas
Day 71 - (14 May) Lessons 11.2 & 11.3 Areas & Perimeters
Day 72 - (15 May) Review & Quiz
Day 73 - (18 May) Lessons 11.4 & 11.5, Arc Length & Sectors
Day 74 - (19 May) Lesson 11.6, Probability
Day 75 - (20 May) Review
Day 76 - (21 May) Exam
Day 77 - (22 May) Computer Lab
Day 78 - (26 May) Lessons 12.1, 12.2 & 12.3, Areas of Solids
Day 79 - (27 May) Lessons 12.4, & 12.5 Volume
Day 80 - (28 May) Lessons 12.6, & 12.7, Spheres & Similarity
Day 81 - (29 May) Exam & Computer Lab
Day 82 - (1 Jun) EOC Review 1-4
Day 83 - (2 Jun) EOC Review 5-8
Day 84 - (3 Jun) EOC Review 9-12
Day 85 - (4 Jun) EOC
Day 86 - (5 Jun) EOC
Day 87 - (8 Jun) EOC
Day 88 - (9 Jun) EOC
Day 89 - (10 Jun) Make-Up
GEOMETRY LEARNING OBJECTIVES
CHAPTER ONE – BASICS OF GEOMETRY
1.1 Patterns and Inductive Reasoning
•Finding and describing patterns
•Using inductive reasoning
•NC Competency Goal 2.01
1.2 Points, Lines, and Planes
•Using undefined terms and definitions
•Sketching intersections of lines and planes
•NC Competency Goal 2.02
1.3 Segments and Their Measures
•Using segment postulates
•Using the distance formula
•NC Competency Goal 2.02
1.4 Angles and Their Measures
•Using angles and postulates
•Classifying angles
•NC Competency Goal 2.02
1.5 Segment and Angle Bisectors
•Bisecting a segment
•Bisecting an angle
•NC Competency Goal 2.02
1.6 Angle Pair Relationships
•Vertical angles and linear pairs
•Complementary and supplementary angles
•NC Competency Goal 2.02
1.7 Introduction to Perimeter, Circumference, and Area
•Reviewing perimeter, circumference, and area
•Using a problem-solving plan
•NC Competency Goals 1.02, and 2.03
CHAPTER TWO- REASONING AND PROOF
2.1 Conditional Statements
•Recognizing conditional statements
•Using point, line, and plane postulates
•NC Competency Goals 2.01, and 2.02
2.2 Definitions and Biconditional Statements
•Recognizing and using definitions
•Using biconditional statements
•NC Competency Goals 2.01, and 2.02
2.3 Deductive Reasoning
•Using symbolic notation
•Using the laws of logic
•NC Competency Goals 2.01, and 2.02
2.4 Reasoning with Properties from Algebra
•Using properties from algebra
•Using properties of length and measure
•NC Competency Goal 2.02
2.5 Proving Statements about Segments
•Properties of congruent segments
•Using congruence of segments
•NC Competency Goal 2.02
2.6 Proving Statements about Angles
•Congruence of angles
•Properties of special pairs of angles
•NC Competency Goal 2.02
CHAPTER THREE – PERPENDICULAR AND PARALLEL LINES
3.1 Lines and Angles
•Relationships between lines
•Identifying angles formed by transversals
•NC Competency Goal 2.02
3.2 Proof and Perpendicular Lines
•Comparing types of proofs
•Proving results about perpendicular lines
•NC Competency Goals 2.01, and 2.02
3.3 Parallel Lines and Transversals
•Properties of parallel lines
•Properties of special pairs of angles
•NC Competency Goal 2.02
3.4 Proving Lines are Parallel
•Proving lines are parallel
•Using the parallel converses
•NC Competency Goal 2.02
3.5 Using Properties of Parallel Lines
•Using parallel lines in real life
•Constructing parallel lines
•NC Competency Goal 2.02
3.6 Parallel Lines in the Coordinate Plane
•Slopes of parallel lines
•Writing equations of parallel lines
•NC Competency Goal 2.02
3.7 Perpendicular Lines in the Coordinate Plane
•Slope of perpendicular lines
•Writing equations of perpendicular lines
•NC Competency Goal 2.02
CHAPTER FOUR – CONGRUENT TRIANGLES
4.1 Triangles and Angles
•Classifying triangles
•Using angle measures of triangles
•NC Competency Goal 2.03
4.2 Congruence and Triangles
•Identifying congruent figures
•Proving triangles are congruent
•NC Competency Goals 2.02, and 2.03
4.3 Proving Triangles are Congruent: SSS and SAS
•SSS and SAS congruence postulates
•Modeling a real-life situation
•NC Competency Goals 2.02, and 2.03
4.4 Proving Triangles are Congruent: ASA and AAS
•Using the SAS and AAS congruence methods
•Using congruence postulates and theorems
•NC Competency Goals 2.02, and 2.03
4.5 Using Congruent Triangles
•Planning a proof
•Proving constructions are valid
•NC Competency Goals 2.01, and 2.03
4.6 Isosceles, Equilateral, and Right Triangles
•Using properties of isosceles triangles
•Using properties of right triangles
•NC Competency Goals 2.02, and 2.03
CHAPTER FIVE – PROPERTIES OF TRIANGLES
5.1 Perpendiculars and Bisectors
•Using properties of perpendicular bisectors
•Using properties of angle bisectors
•NC Competency Goals 2.02, and 2.03
5.2 Bisectors of a Triangle
•Using perpendicular bisectors of a triangle
•Using angle bisectors of a triangle
•NC Competency Goals 2.02, and 2.03
5.3 Medians and Altitudes of a Triangle
•Using medians of a triangle
•Using altitudes of a triangle
•NC Competency Goals 2.02, and 2.03
5.4 Midsegment Theorem
•Using midsegments of a triangle
•Using properties of midsegments
•NC Competency Goals 1.01, 2.02, and 2.03
5.5 Inequalities in One Triangle
Comparing measurements of a triangle
•Using the triangle inequality
•NC Competency Goals 1.01, 2.02, and 2.03
5.6 Inequalities in Two Triangles
•Using the hinge theorem
•NC Competency Goal 2.03
CHAPTER SIX – QUADRILATERIALS
6.1 Polygons
•Describing polygons
•Interior angles of quadrilaterals
•NC Competency Goal 2.03
6.2 Properties of Parallelograms
•Properties of parallelograms
•Reasoning about parallelograms
•NC Competency Goals 2.02, and 2.03
6.3 Proving Quadrilaterals are Parallelograms
•Proving quadrilaterals are parallelograms
•Using coordinate geometry
•NC Competency Goals 2.02, and 2.03
6.4 Rhombuses, Rectangles, and Squares
•Properties of special parallelograms
•Using diagonals of special parallelograms
•NC Competency Goals 1.02, 2.02, and 2.03
6.5 Trapezoids and Kites
•Using properties of trapezoids
•Using properties of kites
•NC Competency Goals 1.02, 2.02, and 2.03
6.6 Special Quadrilaterals
•Summarizing properties of quadrilaterals
•Proof with special quadrilaterals
•NC Competency Goals 1.02, 2.02, and 2.03
6.7 Areas of Triangles and Quadrilaterals
•Using area formulas
•Areas of trapezoids, kites, and thombuses
•NC Competency Goals 1.02, and 2.03
CHAPTER SEVEN – TRANSFORMATIONS
7.1 Rigid Motion in a Plane
•Identifying transformations
•Using transformations in real life
•NC Competency Goal 3.01
7.2 Reflections
•Using reflections in a plane
•Reflections and line symmetry
•NC Competency Goal 3.01
7.3 Rotations
•Using rotations
•Rotations and rotational symmetry
•NC Competency Goals 2.02, and 3.01
7.4 Translations and Vectors
•Using properties of translations
•Translations using vectors
•NC Competency Goal 3.01
7.5 Glide Reflections and Compositions
•Using glide reflections
•Using compositions
•NC Competency Goal 3.01
CHAPTER EIGHT – SIMILARITY
8.1 Ratio and Proportion
•Computing ratios
•Using proportions
•NC Competency Goals 1.02, and 2.03
8.2 Problem Solving in Geometry and Proportions
•Using properties of proportions
•Using proportions in real life
•NC Competency Goals 1.02, and 2.03
8.3 Similar Polygons
•Identifying similar polygons
•Using similar polygons in real life
•NC Competency Goals 1.02, 2.03, and 3.01
8.4 Similar Triangles
•Identifying similar triangles
•Using similar triangles in real life
•NC Competency Goals 1.02, and 2.03
8.5 Proving Triangles are Similar
•Using similarity theorems
•Using similar triangles in real life
•NC Competency Goals 1.02, and 2.03
8.6 Proportions and Similar Triangles
•Using proportionality theorems
•Using proportionality theorems in real life
•NC Competency Goals 1.02, and 2.03
8.7 Dilations
•Identifying dilations
•Using dilations in real life
•NC Competency Goals 1.02, 2.03, and 3.01
CHAPTER NINE – RIGHT TRIANGLES AND TRIGONOMETRY
9.1 Similar Right Triangles
•Proportions in right triangles
•Using a geometric mean to solve problems
•NC Competency Goals 1.02, and 2.03
9.2 The Pythagorean Theorem
•Proving the Pythagorean theorem
•Using the Pythagorean theorem
•NC Competency Goals 1.02, and 2.03
9.3 The Converse of the Pythagorean Theorem
•Using the converse
•Classifying triangles
•NC Competency Goals 1.02, and 2.03
9.4 Special Right Triangles
•Side lengths of special right triangles
•Using special right triangles in real life
•NC Competency Goals 1.02, and 2.03
9.5 Trigonometric Ratios
•Finding trigonometric ratios
•Using trigonometric ratios in real life
•NC Competency Goals 1.01, 1.02, and 2.03
9.6 Solving Right Triangles
•Solving a right triangle
•Using right triangles in real life
•NC Competency Goals 1.01, 1.02, and 2.03
CHAPTER TEN – CIRCLES
10.1 Tangents to Circles
•Communicating about circles
•Using properties of tangents
•NC Competency Goals 1.01, 2.02, and 2.03
10.2 Arcs and Chords
•Using arcs of circles
•Using chords of circles
•NC Competency Goals 1.01, 2.02, and 2.03
10.3 Inscribed Angles
•Using inscribed angles
•Using properties of inscribed olygons
•NC Competency Goals 2.02, and 2.03
10.4 Other Angle Relationships in Circles
•Using tangents and chords
•Lines intersecting inside or outside a circle
•NC Competency Goals 2.02, and 2.03
10.5 Segments Lengths in Circles
•Finding lengths of segments of chords
•Using segments of tangents and secants
•NC Competency Goals 1.02, 2.02, and 2.03
10.6 Equations of Circles
•Finding equations of circles
•Graphing circles
•NC Competency Goals 1.02, and 2.03
CHAPTER ELEVEN – AREA OF POLYGONS AND CIRCLES
11.1 Angle Measures in Polygons
•Measures of interior and exterior angles
•Using angle measures in real life
•NC Competency Goals 2.02, and 2.03
11.2 Areas of Regular Polygons
•Finding the area of an equilateral triangle
•Finding the area of a regular polygon
•NC Competency Goals 1.02, and 2.03
11.3 Perimeters and Areas of Similar Figures
•Comparing perimeter and area
•Using perimeter and area in real life
•NC Competency Goals 1.02, and 2.03
11.4 Circumference and Arc Length
•Finding circumference and arc length
•Circumference circumferences
•NC Competency Goals 1.02, and 2.03
11.5 Areas of Circles and Sectors
•Areas of circles and sectors
•Using areas of circles and regions
•NC Competency Goals 1.02, and 2.03
11.6 Geometric Probability
•Finding a geometric probability
•Using geometric probability n real life
•NC Competency Goals 1.02, 1.03, and 2.02
CHAPTER TWELVE – SURFACE AREA AND VOLUME
12.1 Exploring Solids
•Using properties of polyhedra
•Using Euler’s theorem
•NC Competency Goal 2.04
12.2 Surface Area of Prisms and Cylinders
•Finding the surface area of a prism
•Finding the surface area of a cylinder
•NC Competency Goals 1.02, 2.03, and 2.04
12.3 Surface Area of Pyramids and Cones
•Finding the surface area of a pyramid
•Finding the surface ara of a cone
•NC Competency Goals 1.02, 2.03, and 2.04
12.4 Volume of Prisms and Cylinders
•Exploring volume
•Finding volumes of prisms and cylinders
•NC Competency Goals 1.02, 2.03, and 2.04
12.5 Volume of Pyramids and cones
•Finding volumes of pyramids and cones
•Using volume in real-life problems
•NC Competency Goals 1.02, 2.03, and 2.04
12.6 Surface Area and Volume of Spheres
•Finding the surface area of a sphere
•Finding the volume of a sphere
•NC Competency Goals 1.02, 2.03, and 2.04
12.7 Similar Solids
•Comparing similar solids
•Using similarity in real life
•NC Competency Goals 1.02, 2.03, and 2.04
