Unit 1 Patterns Day 1 Inductive Reasoning 1.1 Define process of observing data, recognizing patterns, making generalizations (conjecture) Examples: meaning of hot, location of hot and cold faucets, Coincidence vs. cause and effect [IndReasoning1.1A] Day 2 [Number Patterns 1.2A/Visual Patterns] Day 3 [Battleship Sample A in class together] [Number Patterns 1.2B/BS1 Day 4 Go over Number Pat 1.2B/BS1 [Picture Patterns 1.3A] Day 5 Go over 1.3A Quiz 1AB (1.11.3) [Using Ind. Reason/Triple Play] Day 6 Art Project Color Wheel/Color Schemes Day 7 Building Blocks of Geo. Basic Vocab 1 1. Point 2. Line 3. Plane 4. Space 5. Line segment 6. Endpoint 7. Ray 8. Angle 9. Vertex 10. Right angle 11. Acute angle 12. Obtuse angle [Building Blocks of Geo I Naming, Drawing] Day 8 Skills Lab 1 Ruler and Protractor Measure segments (cm) and angles (degrees) [Measuring Segments/Marking diagrams, Billiard Ball Geo I] Day 9 Review of Skills Lab I [Billiard Ball Geo II] Day 10 Quiz 2 (1.11.3,Vocab 1, Label, Draw. Mark) Construction Lab 1A [Duplicating segments] DG3.1A Segment addition/subtraction Write procedure Day 11 Construction Lab 1B [Duplicating angles] DG3.1B Angle addition/subtraction
Write procedure Day 12 Using the Building Blocks Basic Vocab 2 13. Midpoint of a segment 14. Angle bisector 15. Collinear points 16. Coplanar points 17. Parallel lines 18. Perpendicular lines 19. Complementary angles 20. Supplementary angles 21. Vertical angles 22. Linear pair of angles [Drawing, Sketching, Algebra Probs, Construction Task 1] and 1.3B Picture Patterns Day 13 Review with 12, 15, 16 Day 14 Coordinate Geometry (Slope, //, T, EQ of Line, Midpoint) [Assignment] Day 15 Review of Coord Geo, Intro to Pascal s Tri [Assignment, 1.8 Patterns in Pascal s Tri] Day 16 Review of Coord Geo & Pascal s Tri [Assignment, Another Look At Pascal complete and color odd #s (single color)] Day 17 Review of Unit 1, Patterns in Other Triangles Day 18 Test Unit 1 Unit 2 Early Discoveries and Constructions Investigation 1 DG4.1 C1 If 2 angles are vertical angles, then they are equal. C2 If 2 angles are a linear pair of angles, then they are supplementary C3 If 2 angles are both equal and supplementary, then they are right angles Vocab DG2.5, 2.6 Polygons, triangles * Construction Lab 2 [Constructing Perpendicular Bisector] DG3.2 Folding gets PB, midpt, unique midpt, unique PB in plane, point on PB C4 If a point is on the perp. bisector of a segment, then it is equidistant from the endpoints of the segment. Vocab Converse C4A If a point is equidistant from the endpoints of a segment, then it is on the PB. DG3.2B Constructing PB
Write procedure in words Art Project Midpoints constructs 3 rd generation Sierpinski gasket * Triangle Sum Inv 4.2.1 C5 The sum of the measures of the three angles of every triangle is 180. Inv 4.2.2 C6 If 2 angles of one tri are equal to 2 angles of another, then 3 rd angles are equal. Algebra proof C7 The angles of an equiangular triangle are 60 deg. *Construction Lab 3 [Constructing Perpendiculars]. Def. Distance from a point to a line is always measured along a perpendicular. Demo Inv 3.3.2 Practice * More Practice/Review * More Practice/Review DG4.3 Polygon Sum C8 The sum of the measures of a quad is 360 deg. C9 The sum of the measures of the n angles of an ngon is (n2)180 C10 Each angle of an equiangular ngon is DG4.4 Exterior angles C11 The sum of the measures of one set of exterior angles is 360 C12 Each exterior angle of an equiangular ngon is 360/n C13 The measure of an exterior angle of a triangle is equal to the sum of the two remote interior angles. DG4.5 Triangle inequalities C14 The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C15 In a triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. DG 4.6 Properties of Isosceles Tri C16 If a triangle is isosceles, then base angles are equal. C17 If a triangle has two equal angles, then it has two equal sides C18 An equilateral triangle is equiangular and conversely an equiangular is equilateral. (from C7 and C17) *Construction Lab 4 [Constructing Angle Bisector] Folding gets AB, unique AB, point on PB C19 If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. Vocab Converse
C19A If a point is equidistant from the sides of an angle, then it is on the Angle Bisector. DG3.4B Constructing AB Write procedure in words DG3.4 Construction Practice DG3.5 constructing Figures from Given Pieces More Practice More Practice Review Test Unit 2 Vocab 2.7 Quads, Unit 3 Parallels, Special Quads, and Space DG3.6 Constructing Parallels DG4.7 Properties of Parallels Practice with Angle diagrams Practice Constructing Special Quads DG2.8 Space Geometry DG2.9 Pictures DG2.10 Translating Probs to Drawings DG3.7 Test Unit 3 Project Points of Concurrency DG5.1 Congruence DG5.2 Triangles Unit 4 Congruent Triangles & Flowchart Proof
DG5.3 Triangles DG5.4 Triangles DG5.5 CPCTC DG5.6 Flowcharts Prove Properties of Isosceles Triangles DG 4.8 Trapezoids DG 4.9 Midsegments DG4.10 Parallelograms DG4.11 Rhombi, Rectangles, Squares Kites Connect Midpoints of a Quad Unit 6 Properties of Circles Unit 5 Proving Properties of Quadrilaterals Unit 7 Proportions and Similarity Unit 8 Area and Perimeter Unit 9 Properties of Right Triangles, Trigonometry Unit 10 Surface Area, Volume, Displacement, Density