High School Mathematics Standards
Traditional
Sequence 
Integrated Sequence 
Performance Expectation 
Algebra 1 
Math 1 
Math 2 
Math 3 

G.1.A 
M1.4.A 
G.1.A 




Distinguish between inductive and
deductive reasoning. 
G.1.B 
M1.4.B 
G.1.B 




Use inductive reasoning to make
conjectures, to test the plausibility of a geometric statement, and to
help find a counterexample. 
G.1.C 
M1.4.C 
G.1.C 
M2.3.A 
G.1.C 


Use deductive reasoning to prove that
a valid geometric statement is true. 
G.1.D 


M2.3.B 
G.1.D 


Write the converse, inverse, and
contrapositive of a valid proposition and determine their validity. 
G.1.E 


M2.3.C 
G.1.E 


Identify errors or gaps in a
mathematical argument and develop counterexamples to refute invalid
statements about geometric relationships. 
G.1.F 


M2.3.D 
G.1.F 


Distinguish between definitions and
undefined geometric terms and explain the role of definitions, undefined
terms, postulates (axioms), and theorems. 
G.2.A 
M1.4.E 
G.2.A 




Know, prove, and apply theorems about
parallel and perpendicular lines. 
G.2.B 
M1.4.F 
G.2.B 




Know, prove, and apply theorems about
angles, including angles that arise from parallel lines intersected by a
transversal. 
G.2.C 
M1.4.G 
G.2.C 




Explain and perform basic compass and
straightedge constructions related to parallel and perpendicular lines. 
G.2.D 




M3.5.A 
G.2.D 
Describe the intersections of lines
in the plane and in space, of lines and planes, and of planes in space. 
G.3.A 


M2.3.E 
G.3.A 


Know, explain, and apply
basic postulates and theorems about
triangles and the special lines, line segments, and rays associated with
a triangle 
G.3.B 
M1.4.D 
G.3.B 
M2.3.F 
G.3.B 


Determine and prove triangle
congruence, triangle similarity, and other properties of triangles . 
G.3.C 


M2.3.I 
G.3.C 


Use the properties of special right
triangles (30°–60°–90° and 45°– 45°–90°) to solve problems . 
G.3.D 


M2.3.G 
G.3.D 


Know, prove, and apply the
Pythagorean Theorem and its converse. 
G.3.E 


M2.3.H 
G.3.E 


Solve problems involving the basic
trigonometric ratios of sine, cosine, and tangent. 
G.3.F 


M2.3.J 
G.3.F 


Know, prove, and apply basic theorems
about parallelograms. 
G.3.G 


M2.3.K 
G.3.G 


Know, prove, and apply theorems about
properties of quadrilaterals and other polygons. 
G.3.H 




M3.7.A 
G.3.H 
Know, prove, and apply basic theorems
relating circles to tangents , chords, radii, secants, and inscribed
angles. 
G.3.I 




M3.7.C 
G.3.I 
Explain and perform constructions
related to the circle. 
G.3.J 




M3.5.B 
G.3.J 
Describe prisms, pyramids,
parallelepipeds, tetrahedra, and regular polyhedra in terms of their
faces, edges, vertices, and properties. 
G.3.K 




M3.5.C 
G.3.K 
Analyze crosssections of cubes,
prisms, pyramids, and spheres and identify the resulting shapes. 
G.4.A 
M1.3.H 
G.4.A 




Determine the equation of a line in
the coordinate plane that is described geometrically, including a line
through two given points, a line through a given point parallel to a
given line, and a line through a given point perpendicular to a given
line. 
G.4.B 


M2.3.L 
G.4.B 


Determine the coordinates of a point
that is described geometrically. 
G.4.C 


M2.3.M 
G.4.C 


Verify and apply
properties of triangles and quadrilaterals in the coordinate plane. 
G.4.D 




M3.7.B 
G.4.D 
Determine the equation of a circle
that is described geometrically in the coordinate plane and, given
equations for a circle and a line, determine the coordinates of their
intersection(s). 
G.5.A 




M3.2.A 
G.5.A 
Sketch results of transformations and
compositions of
transformations for a given twodimensional figure on the coordinate
plane, and describe the rule (s) for performing translations or for
performing reflections about the coordinate axes or the line y = x. 
G.5.B 




M3.2.B 
G.5.B 
Determine and apply properties of
transformations. 
G.5.C 




M3.2.C 
G.5.C 
Given two congruent or similar
figures in a coordinate plane, describe a composition of translations,
reflections, rotations, and dilations that superimposes one figure on
the other. 
G.5.D 




M3.2.D 
G.5.D 
Describe the symmetries of
twodimensional figures and describe transformations, including
reflections across a line and rotations about a point. 
G.6.A 




M3.7.D 
G.6.A 
Derive and apply formulas for arc
length and area of a sector of a circle. 
G.6.B 




M3.5.F 
G.6.B 
Analyze distance and angle measures
on a sphere and apply these measurements to the geometry of the earth. 
G.6.C 




M3.5.D 
G.6.C 
Apply formulas for surface area and
volume of threedimensional figures to solve problems. 
G.6.D 




M3.5.E 
G.6.D 
Predict and verify the effect that
changing one, two, or three linear dimensions has on perimeter, area,
volume, or surface area of twoand threedimensional figures. 
G.6.E 


M2.5.B 
G.6.E 


Use different degrees of precision in
measurement, explain the reason for using a certain degree of precision,
and apply estimation strategies to obtain reasonable measurements with
appropriate precision for a given purpose. 
G.6.F 


M2.5.C 
G.6.F 


Solve problems involving measurement
conversions within and
between systems , including those involving derived units, and analyze
solutions in terms of reasonableness of solutions and appropriate units. 
G.7.A 


M2.6.A 
G.7.A 


Analyze a problem situation and
represent it mathematically. 
G.7.B 


M2.6.B 
G.7.B 


Select and apply strategies to solve
problems. 
G.7.C 


M2.6.C 
G.7.C 


Evaluate a solution for
reasonableness, verify its accuracy, and interpret the solution in the
context of the original problem. 
G.7.D 


M2.6.D 
G.7.D 


Generalize a solution strategy for a
single problem to a class of related problems, and apply a strategy for
a class of related problems to solve specific problems. 
G.7.E 


M2.6.E 
G.7.E 


Read and interpret diagrams, graphs ,
and text containing the
symbols , language, and conventions of mathematics. 
G.7.F 


M2.6.F 
G.7.F 


Summarize mathematical ideas with
precision and efficiency for a given audience and purpose. 
G.7.G 


M2.6.G 
G.7.G 


Use inductive reasoning to make
conjectures, and use deductive reasoning to prove or disprove
conjectures. 
G.7.H 
M1.8.H 
G.7.H 
M2.6.H 
G.7.H 


Synthesize information to draw
conclusions and evaluate the
arguments and conclusions of others. 
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