Core Curriculum

G.G.8: Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines

Parallel, Intersecting, and Skew Lines

G.G.17: Construct a bisector of a given angle, using a straightedge and compass, and justify the construction

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

G.G.18: Construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

G.G.19: Construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

G.G.21: Investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles

Concurrent Lines, Medians, and Altitudes

G.G.24: Determine the negation of a statement and establish its truth value

Biconditional Statements

Conditional Statements

G.G.25: Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true

Biconditional Statements

Conditional Statements

G.G.26: Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences

Biconditional Statements

Conditional Statements

G.G.27: Write a proof arguing from a given hypothesis to a given conclusion

G.G.29: Identify corresponding parts of congruent triangles

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

G.G.30: Investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

G.G.34: 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

Concurrent Lines, Medians, and Altitudes

G.G.36: Investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons

Polygon Angle Sum

Triangle Angle Sum

G.G.37: Investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons

Polygon Angle Sum

Triangle Angle Sum

G.G.38: Investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals

Parallelogram Conditions

Special Parallelograms

G.G.39: Investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals

G.G.41: Justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids

Parallelogram Conditions

Special Parallelograms

G.G.44: Establish similarity of triangles, using the following theorems: AA, SAS, and SSS

G.G.45: Investigate, justify, and apply theorems about similar triangles

G.G.48: Investigate, justify, and apply the Pythagorean theorem and its converse

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

G.G.55: Investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections

Holiday Snowflake Designer

Reflections

Rotations, Reflections, and Translations

Similar Figures

Translations

G.G.58: Define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries)

G.G.59: Investigate, justify, and apply the properties that remain invariant under similarities

Circles

Perimeters and Areas of Similar Figures

Similarity in Right Triangles

G.G.61: Investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90º and 180º, reflections over the lines x = 0, y = 0, and y = x, and dilations centered at the origin

G.G.64: Find the equation of a line, given a point on the line and the equation of a line perpendicular to the given line

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

G.G.65: Find the equation of a line, given a point on the line and the equation of a line parallel to the desired line

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

G.G.69: Investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas

G.G.71: Write the equation of a circle, given its center and radius or given the endpoints of a diameter

G.G.72: Write the equation of a circle, given its graph Note: The center is an ordered pair of integers and the radius is an integer.

G.G.73: Find the center and radius of a circle, given the equation of the circle in center-radius form

G.G.74: Graph circles of the form (x - h)² + (j - k)² = r²

Correlation last revised: 4/4/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.