Subject
Cassia School District Curriculum Guide
Subject: Geometry
Grade Level: 8th - 12th
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
State State State State
Standard Essential Learning/Task Analysis Standard Essential Learning/Task Analysis Standard Essential Learning/Task Analysis Standard Essential Learning/Task Analysis
Number Number Number Number
G.1.1.1 • Define and explain pi as the ratio of the G.2.1.1 • Select appropriate units for distance, angle G.2.1.1 • Explain relationships between units and convert G.1.1.1 • Define and explain pi as the ratio of the
circumference of a circle to its diameter• Identify pi measure, area, and volume. • Use appropriate from one unit to another.• Select appropriate units circumference of a circle to its diameter •
as an irrational number.• Use 3.14 & 22/7 as an methods and units to estimate measurements in for distance, angle measure, area, and volume. • Identify pi as an irrational number.• Use 3.14 &
approximation for pi.• Compare rational and metric and customary units.• Explain the Use appropriate methods and units to estimate 22/7 as an approximation for pi.
irrational numbers including square roots (include relationship between scale factors and length, area, measurements in metric and customary units.•
radicands that are not perfect squares). and volume of similar shapes.• Solve problems Explain the relationship between scale factors and
involving scale factors, rates, ratios, and length, area, and volume of similar shapes.• Solve
proportions. problems involving scale factors, rates, ratios, and
proportions.
G.1.3.1 • Recognize reasonable and unreasonable answers.• G.2.2.2 • Find the measures of angles (adjacent, G.2.2.1 • Calculate the perimeter and area of triangles, G.2.1.1 • Explain relationships between units and convert
Simplify expressions in terms of pi.• Simplify square complementary, supplementary, vertical angles, quadrilateral, and other regular polygons.• from one unit to another.• Select appropriate units
roots including radicands which are not perfect linear pairs, and special angles formed by parallel Calculate the circumference and area of a circle, the for distance, angle measure, area, and volume. •
squares. • Use appropriate methods to estimate lines cut by a transversal). area of a sector of a circle.• Calculate the surface Use appropriate methods and units to estimate
answers • Distinguish between exact and area and volume of prisms, cylinders, pyramids, measurements in metric and customary units.•
approximate values of irrational numbers. cones, and spheres.• Develop strategies to Explain the relationship between scale factors and
determine the areas of irregular shapes. length, area, and volume of similar shapes.• Solve
problems involving scale factors, rates, ratios, and
proportions.
G.2.1.1 • Explain relationships between units and convert G.3.1.1 • Find and interpret the slope (rate of change) and G.2.2.2 • Apply the angle addition postulate to find the G.2.2.1 • Calculate the perimeter and area of triangles,
from one unit to another.• Select appropriate units intercepts in relation to the context.• Explain the measures of angles.• Find the measures of angles quadrilateral, and other regular polygons.•
for distance, angle measure, area, and volume. • Use relationships of the slopes of parallel and (adjacent, complementary, supplementary, vertical Calculate the surface area and volume of prisms,
appropriate methods and units to estimate perpendicular lines. • Find the slopes of the lines angles, linear pairs, and special angles formed by cylinders, pyramids, cones, and spheres.• Develop
measurements in metric and customary units.• parallel and perpendicular when given the equation parallel lines cut by a transversal).• Use and apply strategies to determine the areas of irregular
Explain the relationship between scale factors and of the line.• Graph the lines parallel and the triangle inequality theorem to find missing shapes.
length, area, and volume of similar shapes.• Solve perpendicular to a line given the equation (slope- measures.• Calculate the sums of the interior and
problems involving scale factors, rates, ratios, and intercept, standard, point-slope) through a given exterior angles of a polygon. • Calculate the
proportions. point. measure of each interior and exterior angle of a
regular polygon.
G.2.2.2 • Apply the segment addition postulate to find the G.3.2.1 • Write equations for parallel and perpendicular G.4.1.1 • Classify triangles by side and angle (acute, right, G.2.2.2 • Use and apply the Pythagorean Theorem. • Find
measures of segments.• Apply the angle addition lines, given: slope and points or equation and point. obtuse, scalene, isosceles, equilateral, the measures of inscribed and central angles and
postulate to find the measures of angles. equiangular).• Classify, compare and contrast, their corresponding intercept arcs.• Find the
quadrilaterals by their attributes (parallelograms, lengths and measures of arcs of a circle.• Find the
rectangles, rhombi, squares). • Classify polygons by lengths of segments and measures of angles formed
side and concavity.• Classify polygons as regular or by radii, chords, secants, and tangents of circles.
not.
G.4.1.1 • Apply the fundamental concepts, properties, and G.4.1.1 • Use accepted geometric notation for lines, planes, G.4.1.2 • Identify and apply congruency and similarity in G.4.1.1 • Classify angles by their measure (acute, right,
relationships among points, lines, rays, planes, and segments, rays, angles, similarity and congruence.• two-dimensional figures • Identify the scale obtuse, straight).• Classify triangles by side and
angles.• Use accepted geometric notation for lines, Identify and determine relationships in adjacent, factor between two similar figures and use it to find angle (acute, right, obtuse, scalene, isosceles,
planes, segments, rays, angles, similarity and complementary, supplementary, and vertical missing lengths.• Solve problems involving the equilateral, equiangular).• Identify the parts of a
congruence.• Classify angles by their measure (acute, angles, and in linear pairs.• Identify and use the geometric mean of two numbers. circle including radius, diameter, major/minor arcs,
right, obtuse, straight). • Identify and determine special angle pairs formed by parallel lines and a chords, secants and tangents.
relationships in adjacent, complementary, transversal.
supplementary, and vertical angles, and in linear
pairs.
G.4.1.3 • Construct logical arguments, form conjectures, G.4.1.2 • Identify and apply congruency and similarity in G.4.1.3 • Construct logical arguments, form conjectures, G.4.1.2 • Solve problems involving the geometric mean
judge their validity, and give counterexamples to two-dimensional figures.• Solve problems involving judge their validity, and give counterexamples to given a right triangle with an altitude drawn to the
disprove statements. the geometric mean of two numbers. disprove statements. • Prove triangles are hypotenuse.
congruent using SSS, SAS, ASA, AAS, HL.
G.4.1.3 • Construct logical arguments, form conjectures, G.4.3.1 • Use transformations to rotate, translate, and G.4.1.4 • Identify and use special triangle relationships (45-
judge their validity, and give counterexamples to reflect two-dimensional figures. 45-90, 30-60-90) to determine the lengths of the
disprove statements. • Prove lines are parallel or sides of a triangle.• Apply similarity of right
perpendicular using special angle pair theorems triangles to the trigonometric functions.• Identify
(formal and informal). sine, cosine, and tangent ratios in right triangles
and use them to model contextual problems.
G.4.4.1 • Identify and construct and solve problems G.4.2.1 • Find the midpoint of a segment in the coordinate
involving medians, altitudes, angle bisectors, and plane.• Find the length of segments using the
perpendicular bisectors. distance formula, given the two endpoints.•
Examine points in the coordinate plane to verify the
figure formed.
Cassia School District Curriculum Guide
Subject - Yearly Overview
Subject
Quarter 1
Subject
Grade Level
1st Quarter
State Standard: Goal and Objective Essential Learning/Task Analysis Materials/Resources Assessments
Cassia School District Curriculum Guide
Subject - Quarter 1
Subject
Quarter 2
Subject
Grade Level
2nd Quarter
State Standard: Goal and Objective Essential Learning/Task Analysis Materials/Resources Assessments
Cassia School District Curriculum Guide
Subject - Quarter 2
Subject
Quarter 3
Subject
Grade Level
3rd Quarter
State Standard: Goal and Objective Essential Learning/Task Analysis Materials/Resources Assessments
Cassia School District Curriculum Guide
Subject - Quarter 3
Subject
Quarter 4
Subject
Grade Level
4th Quarter
State Standard: Goal and Objective Essential Learning/Task Analysis Materials/Resources Assessments
Cassia School District Curriculum Guide
Subject - Quarter 4