Download Mathematics Pacing Resource Document

Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.1: Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions,
axioms and postulates, methods of reasoning, and theorems). Understand the differences among supporting evidence,
counterexamples, and actual proofs.
I can:
Understand the differences among supporting evidence, counterexamples, and actual proofs.
Understand the structure of an axiomatic system.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
http://www.math.uiuc.edu/~gfrancis/M302/handouts/postulates.
pdf
Sec. 1.1 Identify Points, Lines and Planes
Challenge problem p. 8 #46
Sec. 1.2 Segments and Congruence
Challenge problem p. 14 #36
Sec. 1.3 Use Midpoint and Distance Formulas
Mixed Review p. 23 #1-8
Sec. 2.1 Use Inductive Reasoning
Problem Solving p. 77 #34, 35
Sec. 2.2 Analyze Conditional Statements
Problem Solving P. 84 #35
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 1.1 Identify Points, Lines and Planes
H.O.T. problems p. 11 #58, 59
Sec. 1.2 Linear Measures
H.O.T. problems p. 20 #38, 40
Sec. 1.4 Angle Measure
H.O.T. problems #52
Sec. 2.1 Inductive Reasoning and Conjecture
Real-World problems p. 95 # 47, 49
Sec. 2.3 Conditional Statements
Real-World problems p. 112 #59, 60, 61
H.O.T. problem p. 112 #63, 65
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.2: Know precise definitions for angle, circle, perpendicular line, parallel line, and line segment, based on the undefined
notions of point, line, and plane. Use standard geometric notation.
I can:
Define angle, circle, perpendicular line, parallel line, and line segment in terms of point, line and plane.
Use proper geometric notation.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
Sec. 1.5 Describe Angle Pair Relationships
Problem Solving p. 40 #53, 54
http://www.insidemathematics.org/index.php/high-school-geometry
New Jersey Center for Learning and Teaching: Geometry: Points, lines,
angles, planes presentation and construction worksheet.
Sec. 2.1 Use Inductive Reasoning
Sec. 2.2 Analyze Conditional Statements
Sec. 2.3 Deductive reasoning
Sec. 2.4 Use Postulates and Diagrams
Problem Solving problems p. 101 #34-39
Sec. 2.5 Reason Using Properties of Algebra
Problem Solving problem p. 110 #33
Sec. 2.6 How Proofs are used in Mathematics: Angles and Segments
Problem Solving problem p. 119 #29
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Sec. 2.7 Prove Angle Pair Relationship
Problem Solving p. 129 #36, 37
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 1.5 Angle Relationships
H.O.T. problem p. 53 #51
Sec. 2.1 Inductive Reasoning and Conjecture
P. 95 #48
Sec. 2.5 Postulates and Paragraph Proofs
Real-World problem p. 130 #42
Sec. 2.6 Algebraic Proofs
Challenge problem p. 140 #37
Sec. 2.7 Proving Segments Relationships
H.O.T. problem p. 147 #17
Sec. 2.8 Proving Angle Relationships
H.O.T. problem p. 156 #32
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.3: State, use, and examine the validity of the converse, inverse, and contrapositive of conditional (“if – then”) and biconditional (“if and only if”) statements.
I can:
Understand and use the converse, inverse, contrapositive of conditional (“if – then”} and bi-conditional (“if and only if”} statements. Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
Sec. 2.2 Analyze Conditional Statements
Problem Solving problem p. 84 #35
www.virtualnerd.com/.../converse-inverse-contrapositive-truthexample
Sec. 2.3 Deductive Reasoning
p. 92 #24
Persuasive Letter
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 2.3 Conditional Statements
Problem Solving p. 112 #59-61, 63, 65
Sec. 2.4 Deductive Reasoning
H.O.T. problem p. 122 #45
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Logic and Proofs Strand
Standard:
G.LP.4: Develop geometric proofs, including direct proofs, indirect proofs, proofs by contradiction and proofs involving
coordinate geometry, using two-column, paragraphs, and flow charts formats.
I can:
Develop geometric proofs using direct and indirect proofs.
Develop geometric proofs using contradiction and proofs involving coordinate geometry.
Develop geometric proofs using a two-column format, a paragraph format and a flow chart format.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
Sec. 2.4 Use Postulates and Diagrams
p. 101 #34-39
Sec. 2.5 Reason Using Properties of Algebra
p. 110 #33
feromax.com/cgi-bin/ProveIt.pl
ProveIt!
Two-Column Proofs Practice Tool
If need be goggle search geometric proofs and look for
Persuasive Letter
Sec. 2.6 How Proofs are used in Mathematics: Angles and Segments
p. 119 #29
Sec. 2.7 Prove Angle Pair Relationships
p. 129 #36, 37
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 2.5 Postulates and Paragraph Proofs
p. 130
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Sec. 2.6 Algebraic Proofs
p. 140 #37
Sec. 2.7 Proving Segments Relationship
p. 147 #17
Sec. 2.8 Proving Angle Relationship
p. 156 #32
Sec. 3.5 Proving Lines Parallel
H.O.T. p. 211 #37
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Points, Lines, Angles, and Planes Strand
Standard:
G.PL.1: Identify, justify, and apply properties of planes.
I can:
Identify properties of planes.
Justify properties of planes.
Apply properties of planes.
Lesson Plans/Print Activities:
Standard Geometry - McDougal Littell Textbook
Not Covered in Quarter One
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 3.1 Parallel Lines and Transversals
H.O.T. problem p. 175 #47
Web-based Practice:
New Jersey Center for Teaching and Learning: Geometry
- Points, lines, and Planes Presentation
- Points, lines, and Planes Worksheet
Khan Academy: Geometry
- Introduction to Euclidean Geometry: Specifying planes in three
dimensions.
Virtual Nerd: Geometry
-Fundamentals of Geometry: What is a plane
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Points, Lines, Angles, and Planes
Standard:
G.PL.3: Prove and apply theorems about lines and angles, including the following: vertical angles are congruent; when a
transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and
corresponding angles are congruent; when a transversal crosses parallel lines, same side interior angles are supplementary;
and points on a perpendicular bisector of a line segment are exactly those equidistant from the endpoints of the segment.
I can:
Prove and apply the theorem about vertical angles are congruent.
Prove and apply the theorem about alternate interior angles are congruent when parallel lines are cut by a transversal.
Prove and apply the theorem about alternate exterior angles are congruent when parallel lines are cut by a transversal.
Prove and apply the theorem about corresponding angles are congruent when parallel lines are cut by a transversal.
Prove and apply the theorem about same side angles are supplementary when parallel lines are cut by a transversal.
Prove and apply the theorem about points on a perpendicular bisector of a line segment are exactly those equidistant from the endpoints of the
segment.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
Not Covered in Quarter One
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 3.2 Angles and Parallel Lines
H.O.T. problem p. 183 #42
Indianapolis Public Schools
New Jersey Center for Teaching and Learning: Geometry
- Parallel and Perpendicular Lines Presentation
Khan Academy: Geometry
- Angles and Intersecting Lines: Angles between Intersecting and
Parallel Lines
Virtual Nerd: Geometry
-Fundamentals of Geometry: Angle Pair Relationships
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Points, Lines, Angles, and Planes Strand
Standard:
G.PL.4: Know that parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes. Determine if a
pair of lines are parallel, perpendicular, or neither by comparing the slopes in coordinate graphs and in equations. Find the
equation of a line, passing through a given point that is parallel or perpendicular to a given line.
I can:
Know that parallel lines have the same slope.
Know that perpendicular lines have opposite reciprocal slopes.
Determine whether a pair of lines are parallel, perpendicular or neither.
Write the equation of the line passing through a given point that is parallel or perpendicular to a given line.
Lesson Plans/Print Activities:
Web-based Practice:
New Jersey Center for Teaching and Learning: Geometry
- Parallel and Perpendicular Lines Presentation
Standard Geometry - McDougal Littell Textbook
Sec. 3.1 Identify Pairs of Lines and Angles
Sec. 3.2 Use Parallel Lines and Transversals
Sec. 3.3 Prove Lines are Parallel
Sec. 3.4 Find and Use Slope of Lines
Sec. 3.5 Write and Graph Equations of Lines
Sec. 2.6 Prove Theorems about Perpendicular Lines
Khan Academy: Geometry
- Angles and Intersecting Lines: Angles between Intersecting and
Parallel Lines
Virtual Nerd: Geometry
- Parallel and Perpendicular Lines: Parallel Lines and Transversals
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 3.1 Parallel Lines and Transversals
Sec. 3.2 Angles and Parallel Lines
Sec. 3.3 Slopes of Lines
Sec. 3.4 Equations of Lines
Sec. 3.5 Proving Lines Parallel
Sec. 3.6 Perpendiculars and Distance
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Geometry – Points, Lines, Angles, and Planes
Standard:
G.PL.5: Explain and justify the process used to construct, with a variety of tools and methods (compass and straightedge,
string, reflective devices, paper folding, dynamic geometric software, etc.), congruent segments and angles, angle bisectors,
perpendicular bisectors, altitudes, medians, and parallel and perpendicular lines.
I can:
Explain and justify the process used to construct congruent segments and angles.
Explain and justify the process used to construct angle bisectors and perpendicular bisectors.
Explain and justify the process used to construct altitudes and medians.
Explain and justify the process used to construct parallel and perpendicular lines.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Geometry - McDougal Littell Textbook
Sec. 1.4 Measure and Classify Angles
New Jersey Center for Teaching and Learning: Geometry
- Parallel and Perpendicular Lines Presentation
Honors Geometry – Glencoe McGraw-Hill Textbook
Sec. 1.3 Distance and Midpoint
Sec. 1.4 Angle Measure
Sec. 1.5 Angle Relationships
Sec. 3.5 Proving Lines Parallel
Indianapolis Public Schools
Curriculum and Instruction