Download Horizontal Curriculum Map by Block Geometry

Horizontal Curriculum Map by 3-Week Block
1A
Block
Common
Core
Standard(s)
G-CO.
2,3,4,5,6,10
G-GMD.4
G-GPE.5
1C
1B
G-CO.9
G-CO.10
G-SRT.8
G-CO.
2, 3, 12
G-SRT.1a/1b
G-SRT 2,3,4,5
Topic(s)/
Essential Question(s)
What are the building blocks of
geometry?
What are transformations?
What is symmetry?
What are the basic shapes of
geometry and how can they be
classified?
What are the relationships between
angles? What are the areas and
perimeters of triangles,
parallelograms, and trapezoids?
What is the Pythagorean
Theorem?
What are the common qualities
similar figures have?
How can I use a flow chart to
organize facts about similar
triangles and support my
conclusions?
COURSE: Common Core Geometry
Developed by Dr. Mark Ryan, June 1, 2014
Academic Vocabulary
Content/
Materials
Assessments
1.1.1, 1.1.2, 1.1.3,
1.1.4, 1.1.5
1.2.1, 1.2.2, 1.2.3,
1.2.4, 1.2.5, 1.2.6
1.3.1, 1.3.2
Chapter Closure
Participation quizzes: 1.2.5, 1.2.5,
1.3.1
Problems such as 1.64, 108, 85, 97,
109, 116, 124
Algebra review:
1-35, 43, 56, 65,
106,4,18,29,67,89,17,32,57,
86,79,114b-d,127
Chapter Test from test bank with
above types of problems
Acute, angle, area, conjecture, equilateral,
graph, image, isosceles, line segment, obtuse,
midpoint parallel, perimeter, perpendicular,
polygon, probability, protractor, prove,
random, ratio, reflection, regular polygon,
right angle, rotation, scalene, slope, solve,
straight angle, symmetry, rigid
transformation, translation, triangle, Venn
Diagram, vertex, vertices
2.1.1, 2.1.2, 2.1.3,
2.1.4, 2.1.5
2.2.1, 2.2.2, 2.2.3,
2.2.4
2.3.1, 2.3.2
Chapter Closure
More than half review of previous
chapter (2-65,
21a,36,97a,108a,42,58,69,105
PLUS content as in
2-34,55,56,66,67,76,107,116
2-75,86,94b/c,115,97,106,108d
Alternate interior angles, area, arrow
diagram, base, complementary angles,
conditional statement, congruent,
conjecture, corresponding angles,
dimension, height, hypotenuse, leg,
parallelogram, perimeter, proof by
contradiction, prove, Pythagorean theorem,
rectangle, rhombus, right angle, right
triangle, same side interior angles, square,
square root, straight angle, supplementary
angles, theorem, transversal, trapezoid, unit
of measure, vertical angles
3.1.1, 3.1.2, 3.1.3,
3.1.4
3.2.1, 3.2.2. 3.2.3,
3.2.4, 3.2.5, 3.2.6
Chapter Closure
More than half review of previous
chapters: 2-117, 3-9, 45, 66a
3-32b,57,91, 109
3-6,31, 2-74,95, 3-21, 101 PLUS
content as in 3-5, 18, 46a, 58, 65, 80,
113, 54, 55, 69, 81,90,2-17f,2-26c,
3-10, 23,33,44,53,68,92,8a,
32a,43,77,103,111
AA, angle, conditional, congruent,
corresponding sides, dilation, enlarge,
flowchart, hypotenuse, logical argument,
original, perimeter, proportional equation,
ratio, relationship, SAS, sides, similar,
similarity statement, similarity
transformation, SSS, translate, vertex, zoom
factor
2C
2B
2A
Block
Common
Core
Standard(s)
G-SRT.6,8
S-CP.1,7
S-MD.6+
G-SRT.
6,7,8,9+,10+,1
1+
G-CO.10,12
G-CO.6,7,8
G-SRT.2,5
G-CO.9,10
G-MG.1,3
G-DPE.7
S-MD.7+
G-CO.2, 12
Topic(s)/
Essential Question(s)
What is the relationship between
the slope of a line and slope angle?
How can this be used find missing
measures of a right triangle?
How can tree diagrams and area
models help calculate probabilities,
expected values, unions,
intersections, and complements of
events?
Content/
Materials
4.1.1,4.1.2,4.1.3,4
.1.4,4.1.5
4.2.1,4.2.2,4.2.3,4
.2.4,4.2.5
Chapter Closure
What are sine, cosine, and inverse
trigonometric functions and how
are they used to find missing
measurements in right triangles?
How can I apply the Pythagorean
Theorum to find patterns in special
right triangles? How can I develop
tools to help find missing side
lengths and angle measures in nonright triangles?
5.1.1,5.1.2,5.1.3,5
.1.4
5.2.1,5.2.2
5.3.1,5.3.2,5.3.3,5
.3.4,5.3.5
Chapter Closure
How can I directly conclude that
two triangles are congruent
without first concluding they are
similar?
How are different threads of
geometry connected?
6.1.1.6.1.2,6.1.3
6.1.4,6.1.5
6.2.1,6.2.2,6.2.3
6.2.4, 6.2.5
Chapter Closure
Academic Vocabulary
Assessments
Participation quiz 4.2.2
Performance assessment prob 4-46
Previous chapter content: 47,41,70,72,118 PLUS CONTENT:
4-43,50,83,113,39,63,74
4-69,81,95,96,20,44,120
Participation quiz 5.1.4
Performance tasks in 5.3.5
Previous chapter content such as
5-10,20,32,45,55,93
5-20,69,116,131
5-78a,89,114 PLUS CONTENT
SUCH AS: 5-17,18,44,46,100,137
30,77,103,11,33,52,129,135
5-42,102,113,52,53d,64bd,91,127,135
64ac,129,138
5-90,111,126,134
Performance and participation
assessments in section 6.2
CONTENT FROM PREVIOUS
CHAPTERS: 6-15c,47,55,74d
PLUS CONTENT SUCH AS:
6-23,35,47,58,83
6-8,23,35,58,63,73,83
6-48,64,86
6-16,25,37,50,57,73,96
SEMESTER EXAM: Missing angles
in shapes and parallel line diagrams,
decide if pairs of triangles are
similar or congruent, choose a tool
from the triangle toolkit, determine
probabilities in probability space
using area models and tree diagrams
Alpha, addition rule, angle, arithmetic
sequence, clinometer, common difference,
common ratio/multiplier, complement,
conjecture, equally likely, expected value,
fair game, geometric sequence, hypotenuse,
independent events, intersection, leg, nonindependent events, orientation, probability,
probability area model, random, ratio,
sample space, slope angle, slope ratio, slope
triangle, systematic list, tangent ratio, theta,
tree diagram, trigonometry, union, delta X,
delta Y
30/60/90 Triangle, 45/45/90 triangle,
adjacent side, ambiguous triangle, angel,
cosine ratio, counter example, equilateral,
hypotenuse, inverse sine, inverse cosine,
inverse tangent, isosceles, law of cosines, law
of sines, leg, opposite site, Pythagorean
triple, reference angle, right triangle, sine
ratio, slope angle, tangent ratio, theta,
trigonometric ratio
AAS, arrow diagrams, ASA, bisect,
conditional statement, congruent,
conjecture, converse, corresponding parts,
flowchart, HL, SAS, similar, SSS, triangle
congruence conditions
3C
3B
3A
Block
Common
Core
Standard(s)
G-CO.1,10,
11,12
G-MG.3
G-SRT.5
G-GPE.
4,5,6,7
G-CO.12
G.GMD-1,3
G-SRT.5
G-C.5
G-GMD.1,3
G-MG.1,2
G-CO.
9,10,12,13
G-C.3
Topic(s)/
Essential Question(s)
What can congruent triangles
inform us about the sides, angles,
and diagonals of a quadrilateral?
What is a proof?
How can I use familiar algebraic
tools such as slope to make and
justify conclusions about shapes?
What are interior and exterior
angles of a polygon and the areas
and perimeters of those polygons?
What are the ratios of areas of
similar figures?
What is a polygon has an infinite
number of sides? How do we find
the area and circumference of a
circle?
How can we measure three
dimensional solids?
How can we represent shapes of
solids?
How can we construct geometric
shapes and relationships?
How can we construct a
perpendicular bisector using only a
compass and a straightedge?
Academic Vocabulary
Content/
Materials
Assessments
7.1.1,7.1.2,
7.1.3
7.1.4,
7.2.1,7.2.2.7.2.3
7.2.4,7.2.5,7.2.6
7.3.1,7.3.2,7.3.3
Chapter Closure
Performance tasks 7-73
Performance task on proofs 7.2.4
Include content from first semester
exam PLUS CONTENT SUCH AS
7-46,69,76,86,100,108,123,134a
113,124,132
9,43,55,137,142,144
35,79,131,146,150
20,29,45,119,140
10,15,34,39,48,85a,136
Bisect, center, central angle, circle,
congruent, conjecture, consecutive angles,
coordinate geometry, diagonal, diameter,
edge, exterior angle, face, flowchart,
isosceles trapezoid, kite, midpoint,
midsegment, opposite, parallel,
parallelogram, perpendicular, proof,
quadrilateral, radius, rectangle, reflexive
property, regular polygon, rhombus, right
trapezoid, square, tetrahedron, theorem,
three-dimensional, trapezoid, two-column
proof, two-dimensional, vertex
8.1.1,8.1.2,8.1.3
8.1.4,8.1.5
8.2.1,8.2.2
8.3.1,8.3.2,8.3.3
Chapter Closure
Team performance, participation
assessments from lesson 8.3.3
Problem 8-93 and 8-95 and 8-96 as
group quizzes
Questions from previous chapters
PLUS problems such as 844,53,95,107,119
60,61c,95,107a
73,84,107b,105,126
71c,83,106b,123c125b
116,123,128
8-6,23,33,60a,97b,108,121,124
Arc, area, central angle, circumference,
convex polygon, diameter, exterior angle,
interior angle, linear scale factor, non
convex polygon, perimeter, Pi, polygon,
radius, radius of a regular polygon, remote
interior angle, sector, similar, zoom factor
9.1.1,9.1.2,9.1.3
9.1.4,9.1.5
9.2.1,9.2.2
9.2.3,9.2.4
Chapter Closure
Lesson 9.1.5 Group quiz
Participation quiz 9.2.3
Quizzes: 9-69,91 and 103
Review material: 9-34,95b,103b
PLUS SUCH MATERIAL AS:
9-7,21,49,56a,91
9-26,34,38,40,46a,57,69,83,95,103
9-40,57b,69d,93c
9-8,20b,45,46b,56,91c
9-8c,86
9-79,80,98
9-12b,36,51,73
Base, bisect, centroid, circle, compass,
concentric circles, construction, cylinder,
density, incenter, inscribed, lateral face, line
segment, linear scale factor, mat plan,
median, net, oblique, perimeter,
perpendicular bisector, polygon,
polyhedron, point of concurrency, prism,
ratio, rhombus, similar, solid, straightedge,
surface area, three dimensional, volume
4C
4B
4A
Block
Common
Core
Standard(s)
Topic(s)/
Essential Question(s)
G-CO.12
G-MG.1
G-C.2,3,5
S-CP.
3,4,5,6,7
S-CP.7+,9+
S-MD.6+,7+
What are the relationships between
angles, arcs, and line segments in a
circle?
How can I use area models and
two-way tables to calculate
conditional probabilities and
determine whether events are
independent?
How can I use the Fundamental
Principle of Counting and other
permutations and combinations to
solve complex geometry problems?
G-CO.12
G-GMD.1,3,4
G-MG.1
G-C.2,,4+,5
G-GPE.1,2,4
G-GMD.4
G-MG.3
S-MD.7+
How can regular polygons be used
to form three dimensional solids
called polyhedral?
How can we find volume and
surface area of pyramids, cones,
and spheres?
What are great circles and how can
I find the distance between two
points on a sphere?
What are the geometric
relationships created when
tangents/secants intersect a circle?
What is the algebraic equation for
a circle?
How can studying the cross
sections of a cone and a parabola
in particular help us discover how
geometry and algebra can each
define a shape?
What is the Golden Ratio?
How can we use geometry to find
probabilities?
Academic Vocabulary
Content/
Materials
Assessments
10.1.1,10.1.2
10.1.3.,10.1.4
10.1.5
10.2.1,10.2.2
10.2.3
10.3.1,10.3.2
10.3.3,10.3.4
10.3.5
Chapter Closure
Group quizzes in 10.1.5 and 10.2.3
Previous content to make up more
than half of chapter test, plus
content such as problems 1033,68d,78b,87,120
10-43a,68a,54,59
10-60,78c,107ab
10-85,101,116,130
10-102,117,131,176
10-131d,142,176c
10-132,154,155d
10-19,22,70,82,119,156
Arc length, arc measure, association, center,
center radius form, central angle, chord,
circle, circumcenter, circumference,
circumscribed, combination, conditional
probability, decision chart, diameter,
factorial, fundamental principle of counting,
independent events, inscribed, inscribe angle
theorem, intercepted arc, major arc, minor
arc, multiplication rule, mutually exclusive,
permutation, perpendicular, probability,
radius, sample space, secant, semicircle,
similar, tangent, two-way table, x squared +
y squared = r squared, zero factorial
11.1.1,11.1.2
11.1.3,11.1.4
11.1.5
11.2.1,11.2.2
11.2.3
Chapter Closure
Participation quizzes 11.1.4 and
11.2.2
Previous content at least half of test:
11-9,26cd,49,11-9,26a,60,1126b,41,59,87 PLUS CONTENT
SUCH AS 11-25,40,52,58b,75,86,100
11-40,76c,113
11-12,43,86b,90,123
11-10,17,47,58a,102,118,131
Base, bisect, centroid, circle, compass,
concentric circles, construction, cylinder,
density, incenter, inscribed, lateral face, line
segment, linear scale factor, mat plan,
median, net, oblique, perimeter,
perpendicular bisector, polygon, point of
concurrency, prism, ratio, rhombus, similar,
solid, straightedge, surface area, three
dimensional, volume
12.1.1,12.1.2
12.1.3,12.1.4
12.2.1,12.2.2
12.2.3,12.2.4
Chapter Closure
Participation Quiz 12.2.1
Chapter test more than half
previous content including 1158b,97,12-21,40,54
11-110,117,12-11,52,93 PLUS
CONTENT SUCH AS
12-6,27,31,43,51,64,74,87
12-24,51d,105
12-66,96
Circle, cone, conic section, cross-section,
directrix, focus, focus-directrix graph paper,
Golden Ratio, Golden Spiral, parabola, Phi