Course Title: Geometry (Updated 2009-2010)
School/District:
Grade: 10
Chapter 1 – Reasoning in
Geometry
Concepts/Topics
Chapter 2 – Segment Measure &
Coordinate Graphing
Concepts/Topics
•Patterns & Inductive
Reasoning
•Points, Lines & Planes
•Postulates
•Conditional Statements &
Their Converses
•Real Numbers & Number Lines
•Segments & Properties of Real
Numbers
•Congruent Segments
•The Coordinate Plane
•Midpoints
Skills
•Use inductive reasoning
to find patterns(8.11.04)
•Name points, lines &
planes(9.11.04)
•Draw points, lines &
planes(9.11.05)
•Identify intersections of
points, lines &
planes(9.11.14)
•Write statements in “ifthen” form and determine
truth value(9.11.18)
•Write converses of
conditionals and
determine truth
value(9.11.18)
Skills
•Define number sets (natural, whole,
integers, rational, irrational, real)
(6.11.01)
•Use the definition of betweenness to
find the lengths of segments on a
number line(6.11.13)
•Measure segments using
centimeters, millimeters &
inches(7.11.03)
• Use midpoints and bisectors to find
the lengths of segments(6.11.13)
•Define congruence in terms of
segments(9.11.16)
•Use the symbols for congruence &
equal(9.11.05)
•Graph ordered pairs on the
coordinate plane(9.11.11)
•Use the midpoint formulas to find
midpoints and endpoints on number
lines & coordinate planes(9.11.09)
•Find the distance between two
points on a number line(6.11.16)
Chapter 3 - Angles
Chapter 4 - Parallels
Concepts/Topics
•Angles
•Angle Measure
•Angle Addition
Postulate
•Adjacent Angles
& Linear Pairs
•Complementary
& Supplementary
Angles
•Congruent
Angles
•Perpendicular
Lines
Skills
•Name angles in all possible ways(9.11.08)
•Name the vertices & sides of
angles(9.11.08)
•Measure angles using a protractor
•Identify right, acute, straight & obtuse
angles(7.11.03)
•Find the measures of angles using
addition & subtraction(7.11.03)
•Find the measures of angles using angle
bisectors(7.11.03)
•Find the measures of supplements &
complements(7.11.03)
•Use vertical angles to find angle
measures(7.11.03)
•Use perpendicular lines to find & identify
right angles(9.11.05)
•Use perpendicular lines to find
complementary angles(9.11.05)
•Use linear pairs to find supplementary
angles(9.11.05)
Concepts/Topics
•Parallel Lines & Planes
•Parallel Lines & Transversals
•Transversals & Corresponding
Angles
• Proving Lines Parallel
•Slope
•Equations of Lines
Skills
•Identify & draw parallel lines
and planes(9.11.08)
•Identify special angles formed
by lines & transversals and find
their measures(9.11.05)
•Identify congruent &
supplementary angles formed
by parallel lines & transversals
and find their measures (9.11.
05) (7.11.03)
•Determine whether or not lines
are parallel(9.11.17)
•Find the slope of a line using
the slope formula(9.11.09)
•Compare the slopes of parallel
& perpendicular lines (8.11.09)
•Write linear equations given
slopes, points, and/or related
lines(8.11.07)
Course Title: Geometry
School/District:
Grade:10
Chapter 5 – Triangles &
Congruence
Concepts/Topics
Chapter 6 – More About Triangles
•Classifying Triangles
•Angles of a Triangles
•Geometry in Motion
•Congruent Triangles
•SSS and SAS
•ASA and AAS
•Medians
•Altitudes & Perpendicular Bisectors
•Angles Bisectors of Triangles
•Isosceles Triangles
•Right Triangles
•Pythagorean Theorem
•Distance on the Coordinate Plane
Skills
•Name triangles(9.11.08)
•Identify the sides, legs,
hypotenuses, and vertices of
triangles(9.11.17)
•Classify triangles by sides &
angles(9.11.04)
•Find the measures of the sides of
triangles(9.11.05) (9.11.13)
•Identify translations, reflections,
and rotations(9.11.02)
•Identify congruent
triangles(9.11.16)
•Use SAS, SSS, ASA, & AAS to
show triangles are
congruent(9.11.16)
Concepts/Topics
Skills
•Use medians, altitudes, &
perpendicular bisectors to find lengths
of segments(9.11.05)
•Use angle bisectors to find measures
of angles(7.11.03)
•Use the isosceles triangle theorem &
its converse to find measures of
segments and angles(7.11.03)
•Use HL, HA, LL, LA to show right
triangles are congruent(9.11.16)
•Use the Pythagorean Theorem to find
lengths of sides of right
triangles(9.11.01)
•Determine if a triangle is right, acute
or obtuse(9.11.01)
•Find the distance between two points
on a plane using the distance
formula(9.11.09)
Chapter 7 – Triangle
Inequalities
Concepts/Topics
Chapter 8 - Quadrilaterals
•Segments, Angles &
Inequalities
•Exterior Angle Theorem
•Inequalities Within a
Triangle
•Triangle Inequality Theorem
•Quadrilaterals
•Parallelograms
•Tests for Parallelograms
•Rectangles, Rhombi & Squares
•Trapezoids
Skills
•Describe the relationships
between angles & segments
using less than & greater
than(9.11.17)
•Use the relationship between
exterior angles and remote
interior angles to find angle
measures(7.11.03)
•Compare the lengths of
sides of a triangle with the
measures of its
angles(9.11.05)
•Find the range of values for
the length of one side of a
triangle given the other two
sides(9.11.05)
Concepts/Topics
Skills
•Name and identify types of
quadrilaterals(9.11.04)
•Use the properties of
quadrilaterals to find measures of
angles and lengths of
segments(7.11.03)
Course Title: Geometry
School/District:
Grade: 10
Chapter 9 – Proportions &
Similarity
Concepts/Topics
Chapter 10 Polygons & Area
•Using Ratios & Proportions
•Similar Polygons
•Similar Triangles
•Proportional Parts & Triangles
•Triangles & Parallel Lines
•Proportional Parts & Parallel
Lines
•Perimeters & Similarity
•Naming Polygons
•Diagonals & Angle Measure
•Areas of Polygons
•Areas of Triangles & Trapezoids
•Areas of Rectangular Polygons
Concepts/Topics
Chapter 11& 14 - Circles
Concepts/Topics
•Parts of a Circle
•Arcs & Central Angles
•Arcs & Chords
•Circumference of a Circle
•Area of a Circle
•Inscribed Angles
•Secant Angles
•Secant – Tangent Angles
•Segment Measures
Skills
Skills
Skills
•Set up and solve
proportions(6.11.17)
•Use proportions to find lengths of
sides of similar polygons(9.11.12)
(9.11.03)
•Set up and solve proportions
found in triangles and parallel
lines(6.11.17)
•Identify similar triangles using
AA Similarity, SAS Similarity, &
SSS Similarity(9.11.16)
•Find and compare perimeters of
similar polygons(7.11.06)
(7.11.05)
•Identify polygons by number of
sides(9.11.08)
•Identify polygons as regular,
irregular, concave &
convex(9.11.08)
•Find the sum of the interior
angles and exterior angles of
polygons(7.11.03)
•Find the sizes of individual
angles of polygons(7.11.03)
•Find the number of diagonals in a
polygon(9.11.17)
•Use formulas to find areas of
polygons(7.11.03) (7.11.04)
(6.11.09) (7.11.01)
•Name circles, radii, diameters,
chords, secants, tangents, arcs &
angles of circles(9.11.10)
•Use the relationships between
arcs & angles to find their
measures(9.11.10)
•Use the relationships formed by
chords, tangents & secants to find
lengths of segments(9.11.10)
•Find areas & circumferences of
circles(7.11.03)
•Identify tangent circles,
concentric circles, inscribed &
circumscribed circles (9.11.15)
Chapter 12 – Surface Area &
Volume
Concepts/Topics
•Surface Areas of Prisms and
Cylinders
•Volumes of Prisms and Cylinders
•Spheres
Skills
•Use formulas to find surface
areas and volumes of prisms,
cylinders and spheres(7.11.03)
Course Title: Geometry
School/District:
Chapter 13 – Right Triangles &
Trigonometry
Concepts/Topics
•Simplifying Square Roots
•Special Right Triangles
•Trigonometric ratios
Skills
•Simplify radicals(6.11.02)
•Use ratios found in 30-60-90
triangles to find lengths of
sides(9.11.20)
•Use ratios found in 45-45-90
triangles to find lengths of
sides(9.11.20)
•Use the trig ratios (SOH-CAHTOA) to find lengths of sides and
measures of angles of right
triangles(9.11.22)
Grade:10