Download Geometry - Kingdom Schools

Scope and sequence- CCSSI
Subject: Geometry
Grade:10
Semester One
Unit Title
Duration/Dates
taught
Outcomes
included
1
Lines Parallel/Perpen
dicular
3 weeks
Sept 2 - Sept
19
3
Triangle Congruence
4
Triangle
Properties and
Attributes
1 week
Sept 22- Sept 26
3 weeks
Sept 29- Oct 24
2 weeks
Oct 27- Nov 14
Identify various
types of lines
relationships.
Classify triangles by
angle and side
measures.
Identify and find
measures of angles
formed by two
lines cut by a
transversal
.
Apply theorems
involving angles
formed by two
lines cut by a
transversal
Use classification to
find missing angles
and sides.
Prove that two
lines are parallel or
perpendicular.
Identify whether
lines are parallel,
perpendicular, or
neither.
Assessment
Type
2
Triangle Basics
Find interior or
exterior angle
measures in
triangles.
Use properties of congruent
triangles.
Proof two triangles
congruent. *
Proof triangles congruent and
apply that information to
solve problems. *
Use the Pythagorean
inequalities to classify
triangles.
Apply congruence rules to
parts of congruent triangles
Apply properties of
45°,45°, 90° triangles.
Proof triangles congruent and
apply that information to
solve problems. *
Apply properties of
30°, 60°, 90° triangles.
Apply properties of isosceles
and equilateral triangles.
6
Two Dimensional
Measurements
3 weeks
Nov 17- Dec 12
2 weeks
Dec 15- Dec
Write and simplify ratios.
Use the Pythagorean
Theorem and its
converse to solve
various problems.
Apply congruence rules to
parts of congruent triangles.
5
Similarity
Set proportions of use them to
solve problems.
Identify two polygons as
similar.
Solve problems by applying
properties of similar polygons.
Proof certain triangles are
similar using various methods. *
Solve problems involving
similar triangles.
Use properties of similar
triangles to find segment lengths
.
Apply properties involving
similar triangles.
Solve problems involving
isosceles and equilateral
triangle.
Self-assessment , Peer assessment, Quiz , Midterm , Project, Final, portfolio assignments, classwork
Find the area and
perimeter of triangles.
Find the area and
perimeter of various
quadrilaterals
Find the area and
circumference of circles.
Find the area and
perimeter of regular
polygons.
Find the area and
perimeter of composite
figures.
Describe the effect on
perimeter and area when
one or more dimension of
a figure is changed.
Semester Two
Unit Title
Duration/Dates
taught
1
Right
Triangles/Trigonometr
y
3 weeks
Jan 26- Feb 14
Apply the concept of
similarity relationships in
right triangles to solve
problems.
Find the sine, cosine, and
tangent of an acute angle.
Use trigonometric ratios to
find the lengths of sides in
right triangles.
Outcomes
included
Use trigonometric ratios to
find the lengths of sides in
right triangles and in real
world situations.
Solve problems involving
angles of elevations and
depression.
2
Three Dimensional
Measurements
3
Transformational
Geometry
4
Circle Concepts
3 weeks
Feb 16- March 6
3 weeks
March 9- April 4
4 weeks
April 6 – May 1
Classify three-dimensional figures
by using their properties.
Identify and draw line
reflections.
Find the surface areas of prisms,
cylinders, pyramids, cones and
spheres.
Identify and draw
translations.
Identify and draw rotations
Solve problems involving the
concepts of surface area.
2 weeks
May 4- May 15
Identify tangents, secants, and
Review the
chords.
vocabulary and
calculate the
Find the degrees of arcs and lengths
probabilities of simple
of chords and arcs.
events occurring based
on information.
Find the area of a sector, and a
segment.
Work with isometrics.
Find the volumes of prisms,
cylinders, pyramids, cones and
spheres.
Identify and draw
compositions of
transformations.
Solve problems involving the
concepts of volume.
Identify and describe
symmetry in geometric
figures. To use
transformations to draw
tessellations.
Focus on how changing
dimensions affect the resulting
figure.
Identify and draw dilations.
Find the measure of an inscribed
angle and use the properties of
inscribed angles to solve problems.
Determine the basic
probabilities of events
involving geometric
models.
Find the measures of angles formed
by lines that intersect circles and
solve related problems.
Determine geometric
probability.
Find the lengths of segments
formed by lines that intersect circles
and use the lengths to solve related
problems.
• write the equation of a circle in
the coordinate plane. Use the
equation of a circle to graph the
circle and solve related problems.
Assessment
type
5
Probability
Self-assessment , Peer assessment, Quiz , Midterm , Project, Final, portfolio assignments, classwork