Academic Standards

G.1.1: Find the lengths and midpoints of line segments in one- or two-dimensional coordinate systems.

G.1.3: Understand and use the relationships between special pairs of angles formed by parallel lines and transversals.

Constructing Congruent Segments and Angles

Triangle Angle Sum

G.1.4: Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Point-Slope Form of a Line

Points, Lines, and Equations

G.2.1: Identify and describe convex, concave, and regular polygons.

G.2.3: Use properties of congruent and similar polygons to solve problems.

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

G.2.5: Find and use measures of sides, perimeters, and areas of polygons, and relate these measures to each other using formulas.

Area of Parallelograms

Area of Triangles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

G.3.1: Describe, classify, and understand relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite.

G.3.2: Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas.

Perimeters and Areas of Similar Figures

Similar Figures

G.3.3: Find and use measures of sides, perimeters, and areas of quadrilaterals, and relate these measures to each other using formulas.

Area of Parallelograms

Area of Triangles

Perimeter and Area of Rectangles

G.4.1: Identify and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Isosceles and Equilateral Triangles

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Similarity in Right Triangles

Triangle Inequalities

G.4.2: Define, identify, and construct altitudes, medians, angle bisectors, and perpendicular bisectors.

Concurrent Lines, Medians, and Altitudes

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

G.4.4: Use properties of congruent and similar triangles to solve problems involving lengths and areas.

Perimeters and Areas of Similar Figures

Similar Figures

G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Beam to Moon (Ratios and Proportions)

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

Similarity in Right Triangles

G.4.7: Find and use measures of sides, perimeters, and areas of triangles, and relate these measures to each other using formulas.

G.4.8: Prove, understand, and apply the inequality theorems: triangle inequality, inequality in one triangle, and hinge theorem.

G.5.1: Prove and use the Pythagorean Theorem.

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.5.3: Use special right triangles (30° - 60° and 45° - 45°) to solve problems.

Cosine Function

Sine Function

Tangent Function

G.5.4: Define and use the trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) in terms of angles of right triangles.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

G.5.5: Know and use the relationship sin²x + cos²x = 1.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

G.6.2: Define and identify relationships among: radius, diameter, arc, measure of an arc, chord, secant, and tangent.

Chords and Arcs

Inscribed Angles

G.6.3: Prove theorems related to circles.

G.6.4: Construct tangents to circles, and circumscribe and inscribe circles.

Circumference and Area of Circles

Concurrent Lines, Medians, and Altitudes

Inscribed Angles

G.6.7: Define, find, and use measures of circumference, arc length, and areas of circles and sectors. Use these measures to solve problems.

Circumference and Area of Circles

Inscribed Angles

G.7.7: Find and use measures of sides, volumes of solids, and surface areas of solids, and relate these measures to each other using formulas.

G.8.1: Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.

Linear Inequalities in Two Variables

Modeling One-Step Equations

Solving Equations on the Number Line

Using Algebraic Equations

G.8.6: Identify and give examples of undefined terms, axioms, and theorems, and inductive and deductive proof.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Parallel, Intersecting, and Skew Lines

G.8.7: Construct logical arguments, judge their validity, and give counterexamples to disprove statements.

Biconditional Statements

Conditional Statements

Correlation last revised: 1/20/2017

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