Download HS Geom - Sheridan County School District #1

Sheridan County School District 1
Pacing Guide
SUBJECT/GRADE LEVEL Geometry
Outcome #
Outcome Description
Month
Taught
Quarter Assessed
1
G.1
Students will define, mark and interpret geometric
terminology, and calculate angle measures.
Aug-Sept
3 wks
G.2
Students will apply properties of midpoints, write
equations of parallel lines, and prove angle relationships.
Sept-Oct
3 wks
G.3
Students will define, construct, compare, and justify rigid
transformations on the coordinate plane.
Oct-Nov
3 wks
G.4
Students will prove and demonstrate triangle congruence
and triangle properties.
Nov-Dec
2-3 wks
G.5
Students will demonstrate polygon properties. Students
will use properties of polygons to set up and solve systems.
Dec-Jan
4-5 wks
G.6
Students will define, demonstrate, and prove properties of
circles.
Jan
3-4 wks
G.7
Students will use and apply area formulas to solve
problems.
Feb
3-4 wks
G.8
Students will apply Pythagorean Theorem, special right
triangles, trig ratios and equations of circles to solve word
problems.
Students will apply volume formulas of prisms, pyramids,
and spheres to solve real world problems.
Feb-Mar
4-5 wks
Students will prove, demonstrate, and apply similarities of
geometric figures to solve real world problems.
May
3-4 wks
G.9
G.10
Apr
3-4 wks
2
3
4
HS Standard Reference Codes
Number & Quantity
The Real
NNumber System
RN
Quantities
NQ
NCN
NVM
SP
Algebra
Functions
Geometry
Statistics & Probability
Interpreting Categorical
S-ID
A-SSE
Seeing Structure in
Expressions
F-IF
Interpreting Functions
G-CO
Congruence
A-APR
Arithmetic with
Polynomials & Rational
Expressions
Creating Equations
F-BF
Building Functions
G-SRT
Similarity, Right Triangles &
Trigonometry
S-IC
Making Inferences &
Justifying Conclusions
F-LE
Linear, Quadratic &
Exponential Models
G-C
Circles
S-CP
Conditional Probability
& Rules of Probability
Reasoning with Equations
& Inequalities
F-TF
Trigonometric Functions
G-GPE
Expressing Geometric
Properties with Equations
S-MD
Using Probability to
Make Decisions
G-GMD
Geometric Measurement &
Dimension
Modeling with Geometry
The Complex
Number System
A-CED
Vector & Matrix
Quantities
A-REI
& Quantitative Data
Statistics &
Probability
G-MG
Geometry
STANDARD
REFERENCE
Geometry Purpose
Components
Unit Outcome
MA.G.1
MA.G.1.1
MA.G.1.2
MA.G.1.3
Components
Unit Outcome
MA.G.2
MA.G.2.1
MA.G.2.2
MA.G.2.3
Students will develop, interpret, and apply properties of geometric figures
and transformations.
Students will define, mark and interpret geometric terminology, and
calculate angle measures.
Define geometric terms including the undefined terms of Geometry
(point, line, plane), segment, ray, angle, vertical angles, linear pair of
angles, parallel lines, perpendicular lines, transversal, corresponding
angles, alternate interior and exterior angles, same side interior and
exterior angles, polygon, triangles (acute, obtuse, right, scalene,
isosceles, equilateral) quadrilaterals (parallelogram, rhombus,
rectangle, square), bisector, and midpoint
Demonstrate the correct methods for marking geometric figures and
interpret the meaning of geometric markings
Calculate the angle measures created by intersecting lines
Students will apply properties of midpoints, write equations of
parallel lines, and prove angle relationships.
Produce the coordinates of the midpoint of a segment or of an
endpoint given the midpoint of a segment on the coordinate plane
Write the equations of parallel and perpendicular lines
Apply the relationships of angles on parallel lines cut by a transversal
to prove angles are congruent or supplements.
G.CO.1
G.CO.1
G.CO.1
G.CO.1
G.GPE.6
G.GPE.5
G.CO.9
Components
Unit Outcome
MA.G.3
MA.G.3.1
MA.G.3.2
MA.G.3.3
MA.G.3.4
MA.G.3.5
MA.G.3.6
Components
Unit Outcome
MA.G.4
MA.G.4.1
MA.G.4.2
MA.G.4.3
MA.G.4.4
Components
Unit Outcome
MA.G.5
MA.G.5.1
MA.G.5.2
MA.G.5.3
MA.G.5.4
MA.G.5.5
Components
Unit Outcome
MA.G.6
MA.G.6.1
MA.G.6.2
MA.G.6.3
MA.G.6.4
MA.G.6.5
MA.G.6.6
Students will define, construct, compare, and justify rigid
transformations on the coordinate plane.
Develop definitions of rotations, reflections, and translations in
terms of angles, circles, perpendicular lines, parallel lines, and line
segments
Construct and describe transformations of overlaid polygons
Construct and describe composition transformations
Justify transformations as functions that take points in the plane as
inputs and give other points as outputs
Define congruence using transformations
Compare rigid and non-rigid transformations
Students will prove and demonstrate triangle congruence and
triangle properties.
Demonstrate congruence in terms of rigid motions to show that two
triangles are congruent if and only if corresponding pairs of sides and
angles are congruent
Prove triangle congruence through the use of ASA, SAS, and SSS
Prove and demonstrate measures of interior angles of a triangle sum
of 180°
Prove and demonstrate base angles of isosceles triangle are
congruent
Students will demonstrate polygon properties, and use properties of
polygons to set up and solve systems.
Demonstrate quadrilateral properties with parallelograms, squares,
rectangles, rhombus, kites and trapezoids
Demonstrate polygon interior and exterior sum of angles
Use coordinates to demonstrate geometric theorems algebraically.
(For example, given four coordinates, is it a rectangle?)
Solve systems to represent geometric figures
Demonstrate the segment joining two midpoints of a triangle is
parallel to the third side and half the length
G-CO.4
G-CO.3
G-CO.2, 5
G-CO.2
G-CO.6
G-CO.2
G-CO.7
G-CO.8
G-CO.10
G-CO.10
G-CO.11
G-GPE.4
G-CO.10
Students will define, demonstrate, and prove properties of circles.
Define and demonstrate chord properties
Define and demonstrate tangent properties
Demonstrate relationships among inscribed and central angles, radii
and chords
Prove that all circles are similar
Demonstrate properties of angles for a quadrilateral inscribed in a
circle
Define pi and demonstrate circumference and arc length
G-C.2
G-C.2,4
G-C.2
G-C.1
G-C.3
G-C.5
Components
Unit Outcome
MA.G.7
MA.G.7.1
MA.G.7.2
MA.G.7.3
MA.G.7.4
Components
Unit Outcome
MA.G.8
MA.G.8.1
MA.G.8.2
MA.G.8.3
MA.G.8.4
Unit Outcome
MA.G.9
Components
MA.G.9.1
MA.G.9.2
MA.G.9.3
MA.G.9.4
Components
Unit Outcome
MA.G.10
MA.G.10.1
MA.G.10.2
MA.G.10.3
MA.G.10.4
MA.G.10.5
MA.G.10.6
Students will use and apply area formulas to solve problems.
Use formulas to find the area of geometric figures
Use coordinates to compute area and perimeter with distance
formula
Compute area of sectors, segments and annulus
Solve area word problems
Students will apply Pythagorean Theorem, special right triangles, trig
ratios and equations of circles to solve word problems.
Apply the Pythagorean Theorem and its converse to solve word
problems
Solve special right triangles and apply them to right triangles in
circles
Apply equation of circles to find center and radius
Apply trigonometric ratios of right triangles to solve angle of
depression/elevation word problems
Students will apply volume formulas of prisms, pyramids, and
spheres; calculate volume of solids of revolution, and solve real
world problems.
Use volume formulas for prisms, pyramids, and spheres to solve real
world problems
Calculate volume of three dimensional objects generated by rotating
two-dimensional objects
Apply density and displacement to solve real world problems
Apply geometric methods to solve design problems
Students will prove, demonstrate, and apply similarities of geometric
figures to solve real world problems.
Demonstrate the properties of dilation given a center and scale
factor
Apply similarity transformations to decide if two figures are similar
Prove triangle similarities of congruent angles and proportional sides
with AA, SSS, and SAS
Prove a line parallel to one side of a triangle divides the other two
sides proportionally and the converse
Solve similarity word problems including indirect measurement
Use proportions to show a relationship with area and volume
G-GPE.7
G-C.5
G-MG.2
G-SRT.4
G-SRT.8,
N-RN.2
G-SRT.6
G-C.2
G-GPE.1
G-SRT.6
G-SRT.8
G-GMD.1,3
G-GMD.4
G-MG.2
G-MG.3
G-SRT.1
G-SRT.2
G-SRT.3
G-SRT.4
G-SRT.5
G-MG.1