# PENNSYLVANIA. Comparing segments and angles helps us find missing measures. Page 1 of Essential

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1 Topic: 02 Segments and Angles Know: Understand: Do: 1 Essential Make sense of problems and persevere in solving them. Comparing segments and angles helps us find missing measures. 1 Essential Make sense of problems and persevere in solving them. 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. 5 Essential Use appropriate tools strategically. 5 Essential Use appropriate tools strategically. 6 Essential Attend to precision. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. CC.2.1.HS.F.4 Essential Use units as a way to understand problems and to guide the solution of multistep problems. 6 Essential Attend to precision. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. CC.2.1.HS.F.4 Essential Use units as a way to understand problems and to guide the solution of multistep problems. CC.2.2.HS.D.1 Essential Interpret the structure of expressions to represent a quantity in terms of its context. CC.2.2.HS.D.2 Essential Write expressions in equivalent forms to solve problems. CC.2.3.HS.A.3 Essential Verify and apply geometric theorems as they relate to geometric figures. Page 1 of 4

2 Topic: 02 Segments and Angles Know: Understand: Do: CC.2.2.HS.D.1 Essential Interpret the structure of expressions to represent a quantity in terms of its context. CC.2.2.HS.D.2 Essential Write expressions in equivalent forms to solve problems. G Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. G Essential Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles. CC.2.3.HS.A.3 Essential Verify and apply geometric theorems as they relate to geometric figures. G Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. G Essential Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles. Page 2 of 4

3 Topic: 02 Segments and Angles Which standards are students learning in this unit? 1 Essential Make sense of problems and persevere in solving them. 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. 5 Essential Use appropriate tools strategically. 6 Essential Attend to precision. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. CC.2.1.HS.F.4 Essential Use units as a way to understand problems and to guide the solution of multistep problems. CC.2.2.HS.D.1 Essential Interpret the structure of expressions to represent a quantity in terms of its context. CC.2.2.HS.D.2 Essential Write expressions in equivalent forms to solve problems. CC.2.3.HS.A.3 Essential Verify and apply geometric theorems as they relate to geometric figures. G Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. Page 3 of 4

4 Topic: 02 Segments and Angles G Essential Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles. Page 4 of 4

5 Topic: 02 Segments and Angles Key Learning: Comparing segments and angles helps us find missing measures. Unit Essential Question(s): How can you use measurements to compare segments and classify angles? Concept: Concept: Concept: Segment Bisectors Angle Bisectors Complementary and Supplementary CC.2.2.HS.D.1, CC.2.1.HS.F.4, CC.2.2.HS.D.2, CC.2.3.HS.A.3 CC.2.3.HS.A.3 Angles G How do you find the coordinates of the How do you find the measure of the missing What is special about complementary and midpoint of a segment? (A) angle when an angle bisector is involved? (A) supplementary angles? (A) Review/Quiz Sections (ET) Vocabulary: Midpoint, Segment Bisector, Bisect Vocabulary: Angle Bisector Vocabulary: Complementary Angles, Supplementary Angles, Adjacent Angles, Theorem Page 1 of 2

6 Topic: 02 Segments and Angles Concept: Concept: Concept: Vertical Angles IfThen Statements and Deductive Properties of Equality and G Reasoning Congruence 2, 3 2 How do you find the measures of angles formed How do you use deductive reasoning to make How do you use the properties of equality and by intersecting lines? (A) accurate conclusions? (A) congruence to explain why statements are true? (A) Review/Quiz Sections (ET) REVIEW/CHAPTER TEST (ET) Vocabulary: Vertical Angles Vocabulary: Vocabulary:, Linear Pair of Angles Ifthen Statement, Hypothesis, Conclusion, Deductive Reasoning Reflexive Property, Symmetric Property, Transitive Property, Addition Property of Equality, Subtraction Property of Equality, Multiplication Property of Equality, Division Property of Equality, Substitution Property of Equality Additional Information: Attached Document(s): Page 2 of 2

7 Vocab Report for Topic: 02 Segments and Angles Concept: Segment Bisectors Midpoint The point on a segment that divides it into two congruent segments. Segment Bisector A segment, ray, line, or plane that intersects a segment at its midpoint. Bisect To divide the segment into two congruent segments Concept: Angle Bisectors Angle Bisector A ray that divides the angle into two congruent angles. Concept: Complementary and Supplementary Angles Complementary Angles Angles whose sum is 90 degrees. They are complements of each other. Supplementary Angles Angles whose sum is 180 degrees. The are supplements of each other. Adjacent Angles Angles with a common side and vertex but no common interior points. Theorem A true statement that follows from other true statements. Concept: Vertical Angles Vertical Angles Nonadjacent angles whose sides are formed by two intersecting lines. Linear Pair of Angles Two adjacent angles whose noncommon sides are on the same line. Concept: IfThen Statements and Deductive Reasoning Ifthen Statement A statement that starts with If... and ends with then... Hypothesis The part after the IF Conclusion The part after the THEN Deductive Reasoning Uses facts, definitions, accepted properties/principles, and the laws of logic to make a logical argument. Page 1 of 2

8 Vocab Report for Topic: 02 Segments and Angles Concept: Properties of Equality and Congruence Reflexive Property Symmetric Property Transitive Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Substitution Property of Equality Page 2 of 2

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