INFORMAL GEOMETRY – UNIT 5

Triangles – Part II

Glencoe: Geometry: Concepts and Applications

Target Time Frame: 8 days

ESSENTIAL STANDARD / ESSENTIAL QUESTION / DEPTH for MASTERY / Sections / COMMENTS
1 – Solves problems and practical applications using appropriate approaches and tools (including calculators and computers) and judges the reasonableness of results. / How do we solve problems and practical applications and judge the reasonableness of the results? / All / Throughout unit
2 – Uses algebraic skills and concepts to solve geometric problems throughout geometry. / What algebra skills and concepts are used in geometry? / All / Throughout unit
3 – Uses visualization skills to explore and interpret both two- and three-dimensional geometric figures using such topics as projections, cross sections, and locus problems. / How can visualization skills help you explore both solid and plane geometry? / All / Throughout unit
10 – Identifies and defines or describes properties associated with points (distance, between, collinear, coplanar), segments (midpoint, congruence, bisector), angles (bisector, congruence, interior, exterior), and lines and planes (perpendicular, parallel, intersecting). / What are the properties of exterior angles of a triangle? / Exterior Angles / 7.2
14 – States and applies the triangle sum, exterior angles, and polygon angle sum theorems. / What are the properties of exterior angles of a triangle? / Exterior angles / 7.2
IMPORTANT STANDARD / ESSENTIAL QUESTION / DEPTH for MASTERY / Sections / COMMENTS
4 – Uses inductive and deductive reasoning to reach conclusions, identifies conjectures and counterexamples, and describes the nature of a deductive mathematical system. / What is the difference between inductive and deductive reasoning? / All / Throughout unit
6 – Uses formal and/or informal logical reasoning processes. / How do you use formal and informal reasoning processes? / All / Throughout unit
18 – Uses properties of congruence to test conjectures involving triangles. / What are the different interior parts of a triangle? What are the properties of an isosceles triangle? / All / 6.1 – 6.2
20 – Recognizes and applies the properties of inequalities to the measures of segments and angles in triangles. / Does a triangle exist? / All / 7.3 – 7.4
COMPACT STANDARD / ESSENTIAL QUESTION / DEPTH for MASTERY / Sections / COMMENTS
16 – Uses tools such as compass and straightedge, paper folding, tracing paper, mira, or computer to construct congruent segments, angles, triangles, and circles; an angle bisector; a perpendicular bisector; a perpendicular line from a point on a line; parallel lines; proportional segments; tangents; and inscribed and circumscribed polygons. / ?? / Angle Bisector, Perpendicular Bisector / 6.1 – 6.2
6.4

EOCT Domains Taught in this Unit:

UNIT COMMENTS: