Download Honors Geometry Pacing Guide - Williston School District 29

Williston School District 29 Geometry
Concepts Pacing Guide
Chapter 1
Foundations of
Geometry
Focus Questions
Overview
Focus
Indicators
90 Total Days
Day
1 2 3 4 5
1-1, Understanding Points, lines, and Planes- Naming,
Describing and Drawing
1-2. Measuring and Constructing Segments- Finding
Lengths
1-3, Measuring and Constructing Angles- Classifying
each Angle
1-4, Pairs of Angles- Classifying the Pairs
5days 1-5, Using Formulas to Find Area, Perimeter and
Circumference and Volume.
1-6,Finding Midpoint and Distance in the Coordinate Plane
1-7, Identify Transformations in Coordinate Plane
2-1, Using Inductive Reasoning to Make Conjectures
2-2, Identifying Conditional Statements
2-3, Deductive Reasoning to Verify Conjectures
Collinear and Coplanar
Points and Postulates
S is between R and T find
RT, ; Segment Addition
Postulate
Ray KM bisects the Angle,
find the Measure
Finding Measures of
complementary and
Supplementary Angles
Find Area, Perimeter and
Circumference for Triangles,
Rectangles, Squares,
Parallelograms and Circles,
also including volume of
Solids.
Use the Midpoint and
Distance formula to Length
Reflections, Rotations, and
Translations from given
information.
Completing Conjectures,
and drawing
Counterexamples
“p” Then “q”, converse,
Inverse, Contrapositive
Law of Syllogism, and Law of
Detachment
G.CO.1,2,4,5,12
A.REI.1, G.CO.9
2-4, Identifying Biconditional Statements and Definitions
2-5, Algebraic Proof writing
2-6, Geometric Proof Writing
2-7, Writing Flow and Paragraph Proofs
3-1, Identify, Parallel, Skew, and Perpendicular lines
3-2, Identify Angles formed by Parallel lines and Transversals
3-3, Proving Lines Parallel
3-4, Identifying Perpendicular lines and their equations
3-5, Identifying the slopes of Parallel and Perpendicular Lines
4-1, Congruence and Transformations with Triangles
4-2, Classifying triangles
4-3, Identifying Congruent Triangles
4-4, Identifying Triangle Congruence Postulates
4-5, More Triangle Congruence Theorems
4-6, Identifying the converse of Congruence
4-7, Identifying Special Properties of Isosceles and Equilateral
Triangles
5-1, Finding Different Measures given Perpendicular Bisectors
and Angle Bisectors
Complete each statement to
form a new Biconditional
Identify Property that
justifies each statement
Two-Column Proofs, writing
justifications for each step.
Use the given plan to write
each of the following Proofs.
From Given figure identify
the following
Finding Each Angle Measure
with proper Theorem or
Postulate.
Use Given Information and
theorems to show lines are
Parallel
Naming the shortest
segment and writing an
inequality
Slope Formula, and
Theorems to show
relationships
Reflections, Rotations, and
Translations
Isosceles, Equilateral,
Scalene, and Obtuse, and
Acute.
Using the Definition of
Congruent Triangles to find
measures of corresponding
parts
SSS, and SAS Congruence
Postulates in Proofs
HL, ASA, and AAS in
Geometric Proofs
Corresponding Parts of
Congruent Triangles are
Congruent
Finding different values
using different Theorems (
Base Angles Theorem)
Perpendicular bisector
Theorem and Angle Bisector
Theorems
G.CO.1,9,12
G.GPE.5
G.CO.6,7,8,10
G.SRT.5
G.MG.3
G.GPE.4
G.CO.9,10
G.SRT.4,8
G.C.3
G.MG.3
5-2, Finding Special Relationships in Triangles with Concurrent
Points
5-3, Finding length of Midsegments of Triangles
5-4, Drawing Conclusions using Indirect proofs
5-5, Compare measures given inequalities in two triangles
5-6, Finding lengths using Pythagorean Theorem and Special
Right Triangles
6-1, Properties and Attributes of polygons
6-2, Identifying Properties and Conditions for Paralellograms
6-3, Identifying properties and conditions of Special
Parallelograms
6-4, Proving properties of Kites and Trapezoids
7-1, Finding Ratios in Similar Polygons
7-2, Defining the Similarity in the Transformation
7-3, Proving triangles Similar
7-4, Applying Properties of Similar triangles-finding
Corresponding angles and Sides
8-1, Using Right triangle Similarity to find corresponding
lengths
8-2, Using Trigonometric Ratios to solve Right Triangles
8-3, Using Angle of Elevation and Depression to solve right
Triangles.
8-4, Finding lengths in triangles that are not right.
8-5, Calculating time and space using directed Line segments
12-1, Finding length of lines that intersect circles
12-2, Finding Length of Arcs and Chords
12-3,Finding sector area and Arclength
Circumcenters, Incenters,
and Centroids with Medians
and Altitudes of Triangles
Midsegment Theorem
Inequalities in One Triangle
Hinge Theorem and Hinge
Theorem Converse
Square of the length of the
hypotenuse is equal to the
sum of the squares of the
length of the legs. 30-60-90,
45-45-90 right Triangles
Based on number of sides
and Convex or non-Convex
Opposite sides, parallel and
congruent. Opposite angles
congruent, consecutive
angles supplementary
Rectangles, Rhombus, and
Squares
Giving the best name for the
quadrilateral
Define Similar Polygons
Dilations
AA, SSS, SAS, Similarity
Postulates and Theorems
Triangle Proportionality
Theorem and Dilations
Geometric Means
G.CO.11,13
G.GPE.5
G.MG.3
G.SRT.1,2,3,4,5
G.CO.2
G.MG.3
G.SRT.6,7,10
G.SRT.11
Sin, Cos, and Tan
Sin, Cos, and Tan
Law of Sines and Law of
Cosines
Vectors, addition and
multiplication
Tangents, Secants, Chords,
and Radii
Central angles and
Intercepted Arcs
M/360*”PI” r^2
M/360*2*”PI” *r
G.C.2,3,4,5
G.CO.13
G.GPE.1
12-4, Finding Inscribed angles and segment relationships in
Circles
Finding equations of Circles in the coordinate Plane
Finding Surface Area and Volume of Geometric Solids
90 days
½ measure of intercepted
arc, Area of sector – Area of
Triangle
(x-h)^2+(y-k)^2=r^2
Cones, Pyramids, Spheres,
and Rectangular Solids
G.GMD.1,3,4
G.MG.1,2,3