Scope & Sequence

#### Description:

Pacing guides for High School Geometry courses.

#### Subjects:

• Mathematics > General
• Mathematics > Geometry

#### Keywords:

geometry curriuculum curricula

English

Members

#### Collections:

None
Update Standards?

#### MA.9-12.G.PS.1: Mathematics

Use a variety of problem solving strategies to understand new mathematical content

#### MA.9-12.G.PS.2: Mathematics

Observe and explain patterns to formulate generalizations and conjectures

#### MA.9-12.G.PS.3: Mathematics

Use multiple representations to represent and explain problem situations (e.g., spatial, geometric, verbal, numeric, algebraic, and graphical representations)

#### MA.9-12.G.PS.4: Mathematics

Construct various types of reasoning, arguments, justifications and methods of proof for problems

#### MA.9-12.G.PS.5: Mathematics

Choose an effective approach to solve a problem from a variety of strategies (numeric, graphic, algebraic)

#### MA.9-12.G.PS.6: Mathematics

Use a variety of strategies to extend solution methods to other problems

#### MA.9-12.G.PS.7: Mathematics

Work in collaboration with others to propose, critique, evaluate, and value alternative approaches to problem solving

#### MA.9-12.G.PS.8: Mathematics

Determine information required to solve a problem, choose methods for obtaining the information, and define parameters for acceptable solutions

#### MA.9-12.G.PS.9: Mathematics

Interpret solutions within the given constraints of a problem

#### MA.9-12.G.PS.10: Mathematics

Evaluate the relative efficiency of different representations and solution methods of a problem

#### MA.9-12.: Mathematics

Note: The algebraic skills and concepts within the Algebra process and content performance indicators must be maintained and applied as students are asked to investigate, make conjectures, give rationale, and justify or prove geometric concepts.

#### MA.9-12.G.G.1: Mathematics

Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them

#### MA.9-12.G.G.2: Mathematics

Know and apply that through a given point there passes one and only one plane perpendicular to a given line

#### MA.9-12.G.G.3: Mathematics

Know and apply that through a given point there passes one and only one line perpendicular to a given plane

#### MA.9-12.G.G.4: Mathematics

Know and apply that two lines perpendicular to the same plane are coplanar

#### MA.9-12.G.G.5: Mathematics

Know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane

#### MA.9-12.G.G.6: Mathematics

Know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane

#### MA.9-12.G.G.7: Mathematics

Know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane

#### MA.9-12.G.G.8: Mathematics

Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines

#### MA.9-12.G.G.9: Mathematics

Know and apply that if two planes are perpendicular to the same line, they are parallel

#### MA.9-12.G.G.10: Mathematics

Know and apply that the lateral edges of a prism are congruent and parallel

#### MA.9-12.G.G.11: Mathematics

Know and apply that two prisms have equal volumes if their bases have equal areas and their altitudes are equal

#### MA.9-12.G.G.12: Mathematics

Know and apply that the volume of a prism is the product of the area of the base and the altitude

#### MA.9-12.G.G.13.a: Mathematics

lateral edges are congruent

#### MA.9-12.G.G.13.b: Mathematics

lateral faces are congruent isosceles triangles

#### MA.9-12.G.G.13.c: Mathematics

volume of a pyramid equals one-third the product of the area of the base and the altitude

#### MA.9-12.G.G.14.a: Mathematics

bases are congruent

#### MA.9-12.G.G.14.b: Mathematics

volume equals the product of the area of the base and the altitude

#### MA.9-12.G.G.14.c: Mathematics

lateral area of a right circular cylinder equals the product of an altitude and the circumference of the base

#### MA.9-12.G.G.15.a: Mathematics

lateral area equals one-half the product of the slant height and the circumference of its base

#### MA.9-12.G.G.15.b: Mathematics

volume is one-third the product of the area of its base and its altitude

#### MA.9-12.G.G.16.a: Mathematics

the intersection of a plane and a sphere is a circle

#### MA.9-12.G.G.16.b: Mathematics

a great circle is the largest circle that can be drawn on a sphere

#### MA.9-12.G.G.16.c: Mathematics

two planes equidistant from the center of the sphere and intersecting the sphere do so in congruent circles

#### MA.9-12.G.G.16.d: Mathematics

surface area is 4 pi r²

#### MA.9-12.G.G.16.e: Mathematics

volume is 4/3 pi r³

#### MA.9-12.G.G.17: Mathematics

Construct a bisector of a given angle, using a straightedge and compass, and justify the construction

#### MA.9-12.G.G.18: Mathematics

Construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction

#### MA.9-12.G.G.19: Mathematics

Construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction

#### MA.9-12.G.G.20: Mathematics

Construct an equilateral triangle, using a straightedge and compass, and justify the construction

#### MA.9-12.G.G.21: Mathematics

Investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles

#### MA.9-12.G.G.22: Mathematics

Solve problems using compound loci

#### MA.9-12.G.G.23: Mathematics

Graph and solve compound loci in the coordinate plane

#### MA.9-12.G.G.24: Mathematics

Determine the negation of a statement and establish its truth value

#### MA.9-12.G.G.25: Mathematics

Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true

#### MA.9-12.G.G.26: Mathematics

Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences

#### MA.9-12.G.G.27: Mathematics

Write a proof arguing from a given hypothesis to a given conclusion

#### MA.9-12.G.G.28: Mathematics

Determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles

#### MA.9-12.G.G.29: Mathematics

Identify corresponding parts of congruent triangles

#### MA.9-12.G.G.30: Mathematics

Investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle

#### MA.9-12.G.G.31: Mathematics

Investigate, justify, and apply the isosceles triangle theorem and its converse

#### MA.9-12.G.G.32: Mathematics

Investigate, justify, and apply theorems about geometric inequalities, using the exterior angle theorem

#### MA.9-12.G.G.33: Mathematics

Investigate, justify, and apply the triangle inequality theorem

#### MA.9-12.G.G.34: Mathematics

Determine either the longest side of a triangle given the three angle measures or the largest angle given the lengths of three sides of a triangle

#### MA.9-12.G.G.35: Mathematics

Determine if two lines cut by a transversal are parallel, based on the measure of given pairs of angles formed by the transversal and the lines

#### MA.9-12.G.G.36: Mathematics

Investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons

#### MA.9-12.G.G.37: Mathematics

Investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons

#### MA.9-12.G.G.38: Mathematics

Investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals

#### MA.9-12.G.G.39: Mathematics

Investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals

#### MA.9-12.G.G.40: Mathematics

Investigate, justify, and apply theorems about trapezoids (including isosceles trapezoids) involving their angles, sides, medians, and diagonals

#### MA.9-12.G.G.41: Mathematics

Justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids

#### MA.9-12.G.G.42: Mathematics

Investigate, justify, and apply theorems about geometric relationships, based on the properties of the line segment joining the midpoints of two sides of the triangle

#### MA.9-12.G.G.43: Mathematics

Investigate, justify, and apply theorems about the centroid of a triangle, dividing each median into segments whose lengths are in the ratio 2:1

#### MA.9-12.G.G.44: Mathematics

Establish similarity of triangles, using the following theorems: AA, SAS, and SSS

#### MA.9-12.G.G.45: Mathematics

Investigate, justify, and apply theorems about similar triangles

#### MA.9-12.G.G.46: Mathematics

Investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle, given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle

#### MA.9-12.G.G.47.a: Mathematics

the altitude to the hypotenuse of a right triangle is the mean proportional between the two segments along the hypotenuse

#### MA.9-12.G.G.47.b: Mathematics

the altitude to the hypotenuse of a right triangle divides the hypotenuse so that either leg of the right triangle is the mean proportional between the hypotenuse and segment of the hypotenuse adjacent to that leg

#### MA.9-12.G.G.48: Mathematics

Investigate, justify, and apply the Pythagorean theorem and its converse

#### MA.9-12.G.G.49.a: Mathematics

perpendicular bisectors of chords

#### MA.9-12.G.G.49.b: Mathematics

the relative lengths of chords as compared to their distance from the center of the circle

#### MA.9-12.G.G.50.a: Mathematics

a perpendicular to the tangent at the point of tangency

#### MA.9-12.G.G.50.b: Mathematics

two tangents to a circle from the same external point

#### MA.9-12.G.G.50.c: Mathematics

common tangents of two non-intersecting or tangent circles

#### MA.9-12.G.G.51.a: Mathematics

inside the circle (two chords)
Curriki Rating
'NR' - This resource has not been rated
NR
'NR' - This resource has not been rated

This resource has not yet been reviewed.

Not Rated Yet.

Non-profit Tax ID # 203478467