Download Geometry - William H. Maxwell, Career And Technical Education

William H. Maxwell High School
Geometry Lesson Calendar for 2012– 2013
Term 1
This is the first part of a one year course in geometry. Topics include geometric relationships, lines, triangles and plane. constructions,
informal and formal proofs(congruent triangles), similar triangles and other figures, and coordinate geometry. Algebra skills are
reviewed in solving geometry problems. The graphing calculator is used in solving problems throughout the course. The course
terminates with the Geometry Regents Examination.
Unit 1- Introduction To Geometry
September – October
(4 weeks)
Lesson 1
Standards:
A..G.1,G.G.69
Common Core Standards:
G.CO.1
Lesson 2
Standards:
A..G.1,G.G.69
Common Core Standards:
G.CO.1
Lesson 3
Standards:
G.G.1,G.G.69
Common Core Standards:
G.CO.1
Lesson 4
Standards:
G.G.17, G.G.35
Common Core Standards:
G.CO.1
Lesson 5,6
Standards:
G.G.17, G.G.35
Common Core Standards:
G.CO.9
Aim: What are the basic geometry terms involving lines, line segments and rays?
McDougal Littell: pp# 2 – 8
(undefined terms: lines, planes, ray, point)
Aim: What are the basic theorems relating lines and planes?
www.regentsprep.org
(intersections of lines, planes, line and plane theorems)
Aim: What are the basic geometry terms involving angles?
McDougal Littell: pp# 24 – 25
(include naming angles using 1 or 3 letter, measuring)
Aim: How do we classify angles?
McDougal Littell: pp# 26 – 31
(include complementary, supplementary, vertical)
Aim: What are the properties of angles formed by parallel lines and transversal?
McDougal Littell: pp# 154 - 169
(include proving lines parallel (NO SLOPE))
Lesson 7
Standards:
G.G.30
Common Core Standards:
G.CO.10
Lesson 8
Standards:
G.G.30
Common Core Standards:
G.CO.10
Lesson 9
Standards:
G.G.30
Common Core Standards:
7.G.2
Lesson 10
Standards:
G.G.21
Common Core Standards:
7.G.2
Aim: How can we find the measures of the interior angles of a triangle?
Lesson 11
Standards:
G.G.17
Common Core Standards:
G.CO.12
Lesson 12
Standards:
G.G.18
Common Core Standards:
G.CO.12
Lesson 13
Standards:
G.G.18
Common Core Standards:
G.CO.12
Lesson 14
Standards:
G.G.24, 25
Common Core Standards:
Aim: How do we use a compass and straightedge to bisect given angle and a line segment?
McDougal Littell: pp# 217 - 224
(including definition of triangle)
Aim: What relationships exist among the measures of the interior and exterior angles of a triangle?
McDougal Littell: pp# 217 – 224
Aim: How do we classify triangles?
McDougal Littell: pp# 207
(according to angles and sides)
Aim: What are the properties of angle and segment bisectors, median and altitude of a triangle?
McDougal Littell: pp# 310- 319
( do not include concurrence)
McDougal Littell: pp# 33 - 34
(include justification)
Aim: How do we use a compass and straightedge to construct a perpendicular bisector and copy angles?
McDougal Littell: pp# 235
(include justification)
Aim: How do we use a compass and straightedge to construct triangles?
McDougal Littell: pp# 235
(include justification)
Aim: How do we write a conjecture and test its validity?
McDougal Littell: pp# 72-87
(include AND, OR, IF - THEN and negation)
Lesson 15
Standards:
G.G.24, 25
Common Core Standards:
Lesson 16
Standards:
G.G.24, 25
Common Core Standards:
Lesson 17
Standards:
G.G.25
Common Core Standards:
Aim: How are the truth value of conditional statement and its converse related?
McDougal Littell: pp# 87 - 94
(include AND, OR, IF - THEN and negation)
Aim: How do we determine when the inverse and contropositive of a conditional statement are true?
McDougal Littell: pp# 79 - 80
(include AND, OR, IF - THEN and negation)
Aim: How do use biconditional statements?
McDougal Littell: pp# 82 - 84
Unit 2- Lines and Angles, Congruent Triangles
October – November
(5 weeks)
Lesson 18
Standards:
G.G.66
Common Core Standards:
G.GPE.4
Lesson 19
Standards:
G.G.67
Common Core Standards:
G.GPE.7
Lesson 20
Standards:
G.G.69
Common Core Standards:
A.CED.2 - 4
Lesson 21( 2 days)
Standards:
A.A.34,35,A.G.4, G.G.64
Common Core Standards:
A.CED.2 - 4
Lesson 22
Standards:
A.A.34,35,A.G.4
Common Core Standards:
A.CED.2 - 4
Lesson 23
Standards:
G.G.65
Common Core Standards:
A.CED.2 – 4, A.REI.10,
G.GPE.5
Lesson 24
Standards:
G.G.65
Common Core Standards:
A.CED.2 – 4, G.GPE.5
Aim: How do we find a midpoint of line statements given its endpoints?
McDougal Littell: pp# 15
(include finding endpoint given midpoint)
Aim: How do we find a length of a line segment given its endpoints?
McDougal Littell: pp# 15 - 21
Aim: How do we find slope of a line segment?
McDougal Littell: pp# 171 -175
Aim: How do we write an equation of a line given slope and y – intercept or point and slope?
McDougal Littell: pp# 182 – 185
Aim: How do we write an equation of a line given 2 points?
McDougal Littell: pp# 181 – 185
Aim: What is the relationship between slopes of parallel and perpendicular lines?
McDougal Littell: pp# 181 – 185
Aim: How do we write an equation of a line parallel or perpendicular to given?
McDougal Littell: pp# 181 – 185, 205
Lesson 25 (2 days)
Standards:
G.G.65
Common Core Standards:
A.CED.2 – 4, G.GPE.5
Lesson 26 ( 2 days)
Standards:
G.G.65
Common Core Standards:
A.CED.2 – 4, G.GPE.5
Lesson 27
G.G 27
Common Core Standards:
G.CO.9
Aim: How do we write an equation of a line that is a perpendicular bisector to another line?
Lesson 28
G.G 27
Common Core Standards:
G.CO. 9
Lesson 29( 2 days)
G.G 27
Common Core Standards:
G.CO.10
Aim: How do we use the multiplication, division, substitution, and transitive properties in formal proofs?
Lesson 30( 2 days)
G.G 27, G.G 28
Common Core Standards:
G.CO.10 , G.CO.8
Lesson 31(2 days)
G.G 28, G.G. 29
Common Core Standards:
G.CO.10 , G.CO.8
Aim: How do we identify corresponding parts of 2 triangles?
McDougal Littell: pp# 181 – 185, 205
Aim: How do we find perimeters and areas of polygons given coordinates of vertices?
( application of distance formula, review Pythagorean Theorem)
Aim: How do we use the addition, subtraction, partition, and reflexive properties in formal proofs?
McDougal Littell: pp# 105 - 111
McDougal Littell: pp# 105 - 111
Aim: How do we prove statements about Segments and Angles?
McDougal Littell: pp# 112– 119
McDougal Littell: pp# 225 - 229
Aim: What are the different methods of proving triangles congruent?
McDougal Littell: pp# 229 - 255
(SSS, SAS, ASA, AAS, HL)
Lesson 32
G.G 28, G.G. 29
Common Core Standards:
G.CO.10, G.CO.8
Lesson 33
G.G 28, G.G. 29
Common Core Standards:
G.CO.10 , G.CO.8
Aim: How do we choose an appropriate method of proving triangles congruent?
McDougal Littell: pp# 229 – 255
Aim: How do we prove triangles congruent using appropriate method? (2 column or paragraph proof)
McDougal Littell: pp# 229 - 255
Lesson 34
G.G 28, G.G. 29
Common Core Standards:
G.CO.10 , G.CO.8
Aim: How do we use congruent triangles to prove line segments or angles congruent? (CPCTC)
Lesson 35
G.G 28, G.G. 29, G.G 31
Common Core Standards:
G.CO.10
Lesson 36
G.G 28, G.G. 29, G.G 31
Common Core Standards:
G.CO.10
Aim: How do we apply the properties of an isosceles triangle?
McDougal Littell: pp# 229 - 255
McDougal Littell: pp# 264 - 270
Aim: How do we prove overlapping triangles congruent?
Unit 3- Relationships within triangles, Similarities
December – January
(3 weeks)
Lesson 37
G.G 33
Common Core Standards:
G.CO.10
Aim: What are angle inequality relationships in a triangle?
McDougal Littell: pp# 328 – 334
( larger side is opposite to larger angle)
Lesson 38
G.G 33
Common Core Standards:
G.CO.10
Lesson 39
G.G. 21
Common Core Standards:
G.CO.12
Aim: What are side inequality relationships in a triangle?
Lesson 40
G.G. 21
Common Core Standards:
G.CO.12
Aim: What are the properties of the centroid and orthocenter of a triangle?
McDougal Littell: pp# 328 - 334
Aim: How do we construct points of concurrence of medians, altitudes, angle bisectors and perpendicular
bisectors in a triangle?
( define all centers)
McDougal Littell: pp# 318 – 325
(include segment ratio of medians 2 : 1)
Lesson 41
G.G. 21
Common Core Standards:
G.CO.12
Lesson 42
G.G. 44
Common Core Standards:
G-SRT.1
Lesson 43
G.G. 44
Common Core Standards:
G-SRT.1 - G-SRT.2
Lesson 44,45 ( 2days)
G.G. 44
Common Core Standards:
G-SRT.1 - G-SRT.5
Aim: What are the properties of the incenter and circumcenter of a triangle?
McDougal Littell: pp# 303 - 316
Aim: What are ratios and proportions?
McDougal Littell: pp# 356 - 361
Aim: How do we solve problems involving corresponding parts of similar polygons?
McDougal Littell: pp# 364 – 379
Aim: How do we prove triangles similar?
McDougal Littell: pp# 381 – 395
Lesson 46
G.G. 44
Common Core Standards:
G-SRT.1 - G-SRT.5
Lesson 47
G.G. 42
Common Core Standards:
G-SRT.1 - G-SRT.5
Lesson 48
G.G. 46
Common Core Standards:
G-SRT.1 - G-SRT.5
Lesson 49
G.G. 47
Common Core Standards:
G-SRT.1 - G-SRT.5
Aim: How do we apply properties of similar triangles to solve problems?
McDougal Littell: practice examples pp# 381 – 395
Aim: How do we apply Midsegment Theorem?
McDougal Littell: pp# 295 - 301
Aim: How do we apply Side Splitter Theorem?
McDougal Littell: pp# 397 - 403
Aim: How do we apply the Right-Triangle Altitude Theorem?
McDougal Littell: pp# 449 - 456
Review
Review
Finals
William H. Maxwell High School
Geometry Lesson Calendar for 2012 – 2013
Term 2
This is the second part of a one year course in geometry. Topics include geometric relationships, Triangles and their properties,
Quadrilaterals and their properties, Transformations, areas, surface areas and volumes, Locus and it properties, and coordinate
geometry. Algebra skills are reviewed in solving geometry problems. The graphing calculator is used in solving problems throughout the
course. The course terminates with the Geometry Regents Examination.
Unit 4 - Right Triangle and Trigonometry, Quadrilaterals
February
(3 weeks)
Lesson 1 ( 2 days)
G.G. 36
Common Core Standards:
G.CO.9
Aim: How do we find the measures of interior and exterior angles of n-sided convex polygons?
McDougal Littell: pp# 507 – 513
( include classification and definitions)
Lesson 2
G.G. 36
Common Core Standards:
G.CO.9
Aim: How do we find the measure of each interior and exterior angle of regular polygons?
Lesson 3
G.G. 38
Common Core Standards:
G.CO.11
Lesson 4, 5
G.G. 39
Common Core Standards:
G.CO.11
Lesson 6
G.G. 38
Common Core Standards:
G.CO.11
Aim: What are properties of a parallelogram?
McDougal Littell: pp# 507 - 513
McDougal Littell: pp# 515 - 521
Aim: What are the properties of a rhombus, rectangle and square?
McDougal Littell: pp# 533 - 540
Aim: How do we prove that a quadrilateral is a parallelogram?
McDougal Littell: pp# 522 - 529
Lesson 7
G.G. 39
Common Core Standards:
G.CO.11
Lesson 8( 2 days)
G.G. 40
Common Core Standards:
G.CO.11
Lesson 9
G.G. 40
Common Core Standards:
G.CO.11
Lesson 10,11,12
G.G. 40
Common Core Standards:
G.CO.11
Aim: How do we write formal proofs involving rectangles, rhombuses, and squares?
McDougal Littell: pp# 533 – 540
Aim: What are the properties of a trapezoids and kites?
McDougal Littell: pp# 542 - 549
( include isosceles trapezoid)
Aim: How can we apply the properties of quadrilaterals in formal proofs?
McDougal Littell: pp# 515 – 549 (selective problems)
Aim: How can we prove specific quadrilateral relationships using coordinate geometry?
McDougal Littell: pp# 515 – 549 (selective problems)
(include parallelogram, rectangle, square, rhombus, trapezoid and isosceles trapezoid)
Unit 5 - Transformations
March
(2 weeks)
Lesson 13,14
G.G. 58
Common Core Standards:
G-CO.4, 5
Lesson 15
G.G. 54
Common Core Standards:
G-CO.4, 5
Lesson 16
G.G. 58
Common Core Standards:
G-CO.4, 5
Lesson 17
G.G. 58
Common Core Standards:
G-CO.4, 5
Lesson 18,19
G.G. 58
Common Core Standards:
G-CO.4, 5
Lesson 20
G.G. 54 - 58
Common Core Standards:
G-CO.4, 5
Aim: How are images and pre-images related under line and point reflections?
McDougal Littell: pp# 588 - 596
(Include: rx-axis, ry-axis, rorigin, ry=x, ry = -x, reflection on horizontal and vertical lines)
Aim: How are images and pre-images related under translations?
McDougal Littell: pp# 273 – 276, 572 - 576
Aim: How are images and pre-images related under dilations?
McDougal Littell: pp# 409 – 415, 626 - 632
Aim: How are images and pre-images related under rotations?
McDougal Littell: pp# 598 - 605
Aim: How do we find an image under a composition of transformations?
McDougal Littell: pp# 608 - 615
Aim: Which transformations are isometries?
McDougal Littell: pp# 573 -579
Unit 6 - Area, Surface Area, Volume
March – April
(2 weeks)
Lesson 21
G.G. 14c
Common Core Standards:
G-MG.1, 2
Lesson 22
Common Core Standards:
7.G.6
Lesson 23,24
G.G. 10, 11, 14b
Common Core Standards:
G-MG.1, 2
Lesson 25,26
G.G. 14
Common Core Standards:
G-MG.1, 2
Lesson 27,28
G.G. 15
Common Core Standards:
G-MG.1, 2
Lesson 29
G.G. 13
Common Core Standards:
G-MG.1, 2
Lesson 30
G.G. 16
Common Core Standards:
G-MG.1, 2
Lesson 31
G.G. 16
Common Core Standards:
G-MG.1, 2
Aim: What is solid geometry?
McDougal Littell: pp# 790 - 801
(include Polyhedron and Platonic solids, classification, nets)
Aim: How do we find areas of polygons and circles?
McDougal Littell: pp# 720 - 736
(include triangles, parallelograms(all) , trapezoids, circles)
Aim: What are the properties of a Prism and How do we find the volume and surface area of prisms?
McDougal Littell: pp# 803-809,819 – 825
(include lateral area)
Aim: What are the properties of a Cylinder and How do we find the volume and surface area of cylinders?
McDougal Littell: pp# 803-809,819 – 825
(include lateral area)
Aim: What are the properties of a Cone and How do we find the volume and surface area of right circular cones?
McDougal Littell: pp# 812 -815, 829 -836
(include lateral area)
Aim: What are the properties of Pyramids and How do we find the volume and surface area of Pyramids?
McDougal Littell: pp# 812 -815, 829 -836
(include lateral area)
Aim: What are the properties of a sphere and How do we find the volume and surface area of spheres?
McDougal Littell: pp# 838 -845
Aim: What is a relationship between perimeters, areas and volumes of similar shapes?
McDougal Littell: pp# 737 -745
Unit 6 – Locus, Circles
May – June
(5 weeks)
Lesson 32 ,33
G.G. 70
Common Core Standards:
G-GPE.2
Lesson 34
G.G. 71
Common Core Standards:
G-GPE.1
Lesson 35
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
Lesson 36,37
G.G. 51 – G.G.52
Common Core Standards:
G-C.1 - 4
Lesson 38
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
Lesson 39
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
Lesson 40
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
Lesson 41,42,43
Aim: Aim: How do we find a common solution to a quadratic-linear system of equations graphically?
McDougal Littell: pp#
Aim: How do we write the equation of a circle?
McDougal Littell: pp# 699 - 704
Aim: What are the parts of a circle?
McDougal Littell: pp# 651
Aim: How do we find measures of arcs and angles in circle?
McDougal Littell: pp# 659 -663
(circle, semicircle, minor, major, congruent arcs, inscribed angles)
Aim: How do we find measures of inscribed angles?
McDougal Littell: pp# 672 - 679
(include inscribed polygons)
Aim: What relationships exist when tangents to a circle are drawn?
McDougal Littell: pp# 651 -658
Aim: What are the properties of chords in the circle?
McDougal Littell: pp# 664 – 670
( include congruence, diameter perpendicular to chord)
Aim: How do we find measures of angles formed by intersecting lines and circles?
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
Lesson 44,45,46
G.G. 49 – G.G.53
Common Core Standards:
G-C.1 - 4
McDougal Littell: pp# 680 – 688
( on - chord and tangent; in – 2 chord; out – tangents, secant, tangent and secant)
Aim: How do we find measures of segments formed by intersecting lines and circles?
McDougal Littell: pp# 689 – 695
( chords, tangents, secants, tangent and secant)
Lesson 47, 48
G.G. 22 – G.G.23
Common Core Standards
G.CO.12
Lesson 49
G.G. 22 – G.G.23
Common Core Standards:
G.CO.12
Aim: How do determine probable Locus?
Lesson 50,51
G.G. 22 – G.G.23
Common Core Standards:
G.CO.12
Aim: How do we find the equation of the locus of points at a given distance from a given point?
McDougal Littell: pp# 697 - 698
Aim: How do we solve problems using Compound Loci?
McDougal Littell: pp# 698 - 703
McDougal Littell: pp# 698 -703
( include horizontal, vertical lines, circles, perpendicular bisector)