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BIS Geometry Sequence
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 (1.1-1.3)
[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 (1.1-1.3,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
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BIS Geometry Sequence
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 1-2, 1-5, 1-6
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
C-1 If 2 angles are vertical angles, then they are equal.
C-2 If 2 angles are a linear pair of angles, then they are supplementary
C-3 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
C-4 If a point is on the perp. bisector of a segment, then it is equidistant from the endpoints of
the segment.
Vocab - Converse
C-4A If a point is equidistant from the endpoints of a segment, then it is on the PB.
DG3.2B – Constructing PB
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BIS Geometry Sequence
Write procedure in words
Art Project – Midpoints
constructs 3rd generation Sierpinski gasket
* Triangle Sum
Inv 4.2.1
C-5 The sum of the measures of the three angles of every triangle is 180.
Inv 4.2.2
C-6 If 2 angles of one tri are equal to 2 angles of another, then 3rd angles are equal.
Algebra proof
C-7 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
C-8 The sum of the measures of a quad is 360 deg.
C-9 The sum of the measures of the n angles of an n-gon is (n-2)180
C-10 Each angle of an equiangular n-gon is
DG4.4 Exterior angles
C-11 The sum of the measures of one set of exterior angles is 360
C-12 Each exterior angle of an equiangular n-gon is 360/n
C-13 The measure of an exterior angle of a triangle is equal to the sum of the two remote
interior angles.
DG4.5 Triangle inequalities
C-14 The sum of the lengths of any two sides of a triangle is greater than the length of the third
side.
C-15 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
C-16 If a triangle is isosceles, then base angles are equal.
C-17 If a triangle has two equal angles, then it has two equal sides
C-18 An equilateral triangle is equiangular and conversely an equiangular is equilateral. (from
C-7 and C-17)
*Construction Lab 4 [Constructing Angle Bisector]
Folding – gets AB, unique AB, point on PB
C-19 If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
Vocab - Converse
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BIS Geometry Sequence
C-19A 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
Unit 3 – Parallels, Special Quads, and Space
Vocab 2.7 Quads,
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
-
Unit 4 – Congruent Triangles & Flowchart Proof
DG5.1 Congruence
DG5.2 Triangles
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BIS Geometry Sequence
DG5.3 Triangles
DG5.4 Triangles
DG5.5 CPCTC
DG5.6 Flowcharts
Unit 5 – Proving Properties of Quadrilaterals
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 7 – Proportions and Similarity
Unit 8 – Area and Perimeter
Unit 9 – Properties of Right Triangles, Trigonometry
Unit 10 – Surface Area, Volume, Displacement, Density
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