Download MATH CURRICULUM MAP: A YEAR AT A GLANCE Course: Geometry

MATH CURRICULUM MAP: A YEAR AT A GLANCE
Course: Geometry
School: Junior High and High School
August 2015 – May 2016
UNIT
Unit One
OBJECTIVE:
Geometric Concepts,
Construction, and Proof
Unit Two
Congruence and
Transformations
Teacher(s): Aimee Evans, Anna Waters, Andrea Jevicky
Grade: 9-10
Unit 2B Triangle Mini Unit
Unit Three
Triangle Congruence Postulates Synthetic and Analytic Proofs:
and Theorems
Triangles, Quadrilaterals, and
Parallelism
MATERIALS/
MANIPULATIVES:
Compass and straightedge,
patty paper, protractor
Compass and straightedge,
patty paper, protractor, grid
paper, polystrips or anglegs
Patty paper, protractor, grid
paper, anglegs or polystrips
Compass and straightedge,
patty paper, grid paper
DURATION:
25 days
20 days
10 days
20 days
RESEARCH
PROJECT/
PROBLEM BASED
LEARNING:
MDC-Describing Quadrilaterals
MDC-Evaluating Conditions for
Congruency
MDC-Discovering the
Pythagorean Theorem (Tilted
Squares)
CRITICAL
VOCABULARY
AND COCEPTS:
Point, line, plane, segment,
parallel, perpendicular,
postulate, theorem, proof,
conditional statement,
conjecture, converse,
biconditional, properties of
equality (reflexive, symmetric,
transitive, substitute),
congruent, vertical, adjacent,
linear pair, complementary,
supplementary, bisect, midpoint
Transformation, rigid motion,
rotation, reflection, translation,
vector, center of rotation, angle
of rotation, line of reflection,
pre-image, image,
perpendicular bisector,
transversal, alternate, interior,
exterior, interior angles in a
triangle, exterior angle to a
triangle
Corresponding, sufficient
conditions, equilateral,
isosceles, scalene, acute,
obtuse, hypotenuse, leg,
postulate, theorem
Proof, theorem, converse,
properties of equality (reflexive,
symmetric, transitive,
substitute), diagonal, bisect,
perpendicular, parallel, altitude,
median, angle bisector,
incenter, circumcenter,
orthocenter, centroid, names of
quadrilaterals, interior angle
sum theorem
Independently develop a proof
of the angle sum of a triangle;
Perform a compass and
straightedge constructions to
rotate, reflect, or translate a
polygon
Generate the list of possible
sufficient conditions to develop
triangle congruence postulates
Project related to inscribed or
circumscribed triangle or
quadrilateral
G-CO.2-6,
The 8 SMP
G-CO.7-8
The 8 SMP
G-CO.11. G-CO.10, G-GPE.4,
G-GPE.5, G-GPE.7, The 8 SMP
Pre-AP/ AP
DIFFERENTIATED
COURSE
REQUIREMENTS:
STANDARDS:
G-CO.9, G-MG.1, G-CO.1,
G-CO.12, The 8 SMP
Last updated 10/21/2015
MATH CURRICULUM MAP: A YEAR AT A GLANCE
Course: Geometry
School: Junior High and High School
August 2015 – May 2016
UNIT
Unit Four
OBJECTIVE:
Similarity and Similar Triangles
Unit Five
Right Triangles and
Trigonometric Ratios
Teacher(s): Aimee Evans, Anna Waters, Andrea Jevicky
Grade: 9-10
Unit Six
Unit Seven
Two and Three Dimensional
Circles and Their Properties
Measurement
MATERIALS/
MANIPULATIVES:
Compass and straightedge,
patty paper, protractor, ruler
Compass and straightedge,
patty paper, protractor
Geometric solids, shape sets,
grid paper, dot paper
Compass and straightedge,
patty paper, protractor, ruler
DURATION:
25 days
25 days
20 days
25 days
RESEARCH
PROJECT/
PROBLEM BASED
LEARNING:
MDC-Identifying Similar
Triangles;
Deducing RelationshipsFloodlight Shadows
MDC-Inscribing and
Circumscribing Right Triangles
MDC-Solving Problems with
Circles and Triangles
MDC- Evaluating Statements
about Length and Area;
Calculating Volumes of
Compound Objects
MDC- Equations of Circles 1;
CRITICAL
VOCABULARY/
TERMINOLOGY:
Dilation, ratio, proportion,
proportional, similar,
midsegment
Right angle, hypotenuse, leg,
opposite leg, adjacent leg, sine,
cosine, tangent, inverse sine,
inverse cosine, inverse tangent
Perimeter, area, volume,
altitude, apothem, names for 3dimensional solids, lateral
height or slant height, face,
vertex, edge
Circumference, diameter,
radius, arc, arc measure, arc
length, tangent (line or
segment), chord, secant, sector,
major arc, minor arc, semicircle
Pre-AP/ AP
DIFFERENTIATED
COURSE
REQUIREMENTS:
Perform a compass and
straightedge to dilate a polygon
Problem-solving project using
trig ratios
Project to design a solid to meet
given parameters
Project to select a circle
theorem to prove
STANDARDS:
G-SRT.1 through 5, G-GPE.6,
G-MG.3, The 8 SMP
G-SRT.6 through 8, The 8 SMP
G-MG.2, G-GMD.1, G-GMD.3,
G-GMD.4, The 8 SMP
G-GPE.4, G-C.1, G-C.5, G-GPE.1,
G-CO.13, G-C.2, G-C.3,
The 8 SMP
Last updated 10/21/2015
Equations of Circles 2; Sectors
of Circles