Geometry Pacing Guide-2016

Geometry Pacing Guide-2016

Marion County Schools

TN Core State Standards

Date
Covered / Unit of Study / Common Core Standards / Major Topics/Concepts / Textbook Alignment
Holt McDougal
1st 12 Weeks
Aug 8 – 12
Aug 15 - 26 / Basics of Geometry
Reasoning & Proof / G-CO.1
G-CO.6
G-CO.12 / - Know definitions of angle, circle, perpendicular line, parallel line, & line segment.
- Understand undefined notions of points, lines, distance along a line, and distance around a circular arc.
- Use geometric descriptions of rigid motions to transform figures & to predict the effect of a given rigid motion on a figure.
- Use definition of congruence in terms of rigid motions to determine congruency.
- Make geometric constructions.
- Points, Lines, Planes
- Segments, Rays, Parallel Lines
- Measuring Segments &Angles
- Basic Constructions
- Reasoning
- Proving Segments & Angles Congruent
Assessment
Aug 29 – Sept 9 / Perpendicular & Parallel Lines / G-CO.1
G-CO.9
G-CO.12
G-CO.13 / - Know definitions of angle, circle, perpendicular line, parallel line, & line segment.
- Prove theorems about lines & angles.
- Make geometric constructions.
- Construct an equilateral triangle, a square, & a regular hexagon inscribed in a circle.
- Construct Parallel & Perpendicular Lines
- Properties of Parallel Lines
- Parallel Lines Angle Relationships
- Prove Lines Parallel
- Slopes of Parallel & Perpendicular Lines
Assessment
Sept 12 - 23 / Congruency / G-CO.10
G-CO.12
G-CO.13
G-SRT.5 / - Prove theorems about triangles.
- Make geometric constructions.
- Construct an equilateral triangle, a square, & a regular hexagon inscribed in a circle.
- Use congruence & similarity criteria for triangles.
- Basic Triangle Vocabulary & Theorems
- Congruent Figures
- Triangle Congruence:
SSS, SAS, ASA, AAS
- CPCTC
- Congruence in Right Triangles:
HL
- Isosceles & Right Triangles
Assessment
Sept 26 – Oct 21 / Triangles / G-CO.9
G-CO.10
G-SRT.5
G-C.3 / - Prove theorems about lines & angles.
- Prove theorems about triangles.
- Use congruence & similarity criteria for triangles.
- Construct the inscribed & circumscribed circles of a triangle..
- Constructions of Perpendicular &
Angle Bisectors of Triangles
- Bisectors of Triangles
(Perpendicular & Angles)
- Medians & Altitudes
- Midsegments
Oct 24 – Nov 18 / Quadrilaterals / G-CO.11
G-GPE.4 / - Prove theorems about parallelograms.
- Use coordinates to prove geometric theorems algebraically.
- Properties of Polygons
- Interior & Exterior Angle Sum
(all polygons)
- Properties of Parallelograms
- Prove a Quadrilateral is a
Parallelogram
- Special Parallelograms
- Trapezoids & Kites
- Proofs Using Coordinate
Geometry with Quadrilaterals
- Area of Triangles & Quadrilaterals
- Area of Regular Polygons
Assessment
2nd 12 weeks
Nov 28 – Dec 16 / Similarity / G-SRT.4
G-SRT.5
G-GPE.5 Omit covered in Alg 1
G-SRT.2
G-SRT.3
G-GPE.6
G-MG.3
N-Q.1; N-Q.2; N-Q.3 / - Prove theorems about triangles.
- Use congruence & similarity criteria for triangles.
- Use the definition of similarity in terms of similarity transformations to determine similarity.
- Use the properties of similarity transformations to establish the AA criterion for 2 triangles to be similar.
- Find the point on a directed line segment between 2 given points that partition the segment in a given ratio.
- Apply geometric methods to solve design problems --- modeling with geometry.
- Reason quantitatively and use units to solve problems.
- Similar Polygons
- Proving Triangles Similar:
AA, SAS, SSS
- Similarity in Right Triangles
- Proportions in Triangles
Assessment
Jan 4 – Jan 27 / Right Triangles & Trigonometry
Right Triangles & Trigonometry
--- CONT’D / G-SRT.6
G-SRT.7
G-SRT.8
N-Q.1; N-Q.2; N-Q.3
G-SRT.10
Omit covered in 4th Math
Prove the Laws of Sines & Cosines & use them.
G-SRT.9
G-SRT.11 / - Understand definitions of trigonometric ratios for acute angles by using the concepts of similarity and side ratios in right triangles.
- Explain & use the relationship between the sine & cosine of complementary angles.
- Use trigonometric ratios & the Pythagorean Theorem to solve right triangles in applied problems (modeling).
- Reason quantitatively and use units to solve problems.
- Derive the formula
A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
- Understand & apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (surveying problems, resultant forces).
- Pythagorean Theorem &
Its Converse
- Special Right Triangle
- Trigonometric Ratios
- Angles of Elevation
- Application of Law of Sines &
Law of Cosines (no proofs)
Vectors – Omit –
covered in 4th Math
Assessment