Skill plan for Miami-Dade County Public Schools - Geometry
IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!
Topic
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1
1st Nine Weeks
Topic I - Transformations and Congruence
912.G-CO.1: Experiment with transformations in the plane
912.G-CO.1: Experiment with transformations in the plane
912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
912.G-CO.1.2: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
912.G-CO.1.2: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
912.G-CO.1.3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
912.G-CO.1.3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
912.G-CO.1.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
912.G-CO.1.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
912.G-CO.1.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Graph an image
Sequences of transformations
912.G-CO.1.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Graph an image
Sequences of transformations
912.G-CO.2: Understand congruence in terms of rigid motions
912.G-CO.2: Understand congruence in terms of rigid motions
912.G-CO.2.6: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
912.G-CO.2.6: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
912.G-CO.2.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
912.G-CO.2.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Topic II - Lines, Angles, and Triangles - Part A
912.G-CO.2: Understand congruence in terms of rigid motions
912.G-CO.2: Understand congruence in terms of rigid motions
912.G-CO.2.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

912.G-CO.2.8: Explain how the criteria for triangle congruence (ASA, SAS, SSS, and Hypotenuse-Leg) follow from the definition of congruence in terms of rigid motions.
912.G-CO.2.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

912.G-CO.2.8: Explain how the criteria for triangle congruence (ASA, SAS, SSS, and Hypotenuse-Leg) follow from the definition of congruence in terms of rigid motions.
912.G-CO.3: Prove geometric theorems
912.G-CO.3: Prove geometric theorems
912.G-CO.3.9: Prove theorems about lines and angles; use theorems about lines and angles to solve problems.
912.G-CO.3.9: Prove theorems about lines and angles; use theorems about lines and angles to solve problems.
912.G-CO.3.10: Prove theorems about triangles; use theorems about triangles to solve problems.
Corresponding parts of congruent triangles
Segments and relationships within triangles
912.G-CO.3.10: Prove theorems about triangles; use theorems about triangles to solve problems.
Corresponding parts of congruent triangles
Segments and relationships within triangles
912.G-CO.4: Make geometric constructions
912.G-CO.4: Make geometric constructions
912.G-CO.4.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Angles
Points, lines, and segments
Regular polygons
Triangles
Circles
912.G-CO.4.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Angles
Points, lines, and segments
Regular polygons
Triangles
Circles
912.G-CO.4.13: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
912.G-CO.4.13: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
912.G-GPE.2.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
2
2nd Nine Weeks
Topic III - Lines, Angles, and Triangles - Part B
912.G-C.1: Understand and apply theorems about circles
912.G-C.1: Understand and apply theorems about circles
912.G-C.1.3: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
912.G-C.1.3: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
912.G-CO.3: Prove geometric theorems
912.G-CO.3: Prove geometric theorems
912.G-CO.3.10: Prove theorems about triangles; use theorems about triangles to solve problems.
Isosceles triangles
Segments and relationships within triangles
912.G-CO.3.10: Prove theorems about triangles; use theorems about triangles to solve problems.
Isosceles triangles
Segments and relationships within triangles
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Congruent triangles
Proofs involving congruent triangles
Isosceles, equilateral, and right triangles
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Congruent triangles
Proofs involving congruent triangles
Isosceles, equilateral, and right triangles
Topic IV - Quadrilaterals and Coordinate Proof
912.G-CO.3: Prove geometric theorems
912.G-CO.3: Prove geometric theorems
912.G-CO.3.11: Prove theorems about parallelograms; use theorems about parallelograms to solve problems.
912.G-CO.3.11: Prove theorems about parallelograms; use theorems about parallelograms to solve problems.
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2.4: Use coordinates to prove simple geometric theorems algebraically.
912.G-GPE.2.4: Use coordinates to prove simple geometric theorems algebraically.
912.G-GPE.2.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
912.G-GPE.2.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
912.G-GPE.2.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
912.G-GPE.2.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Topic V - Similarity and Trigonometry - Part A
912.G-SRT.1: Understand similarity in terms of similarity transformations
912.G-SRT.1: Understand similarity in terms of similarity transformations
912.G-SRT.1.1: Verify experimentally the properties of dilations given by a center and a scale factor:
912.G-SRT.1.1: Verify experimentally the properties of dilations given by a center and a scale factor:
912.G-SRT.1.1.a: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
912.G-SRT.1.1.a: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
912.G-SRT.1.1.b: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
912.G-SRT.1.1.b: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
912.G-SRT.1.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
912.G-SRT.1.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
912.G-SRT.1.3: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
912.G-SRT.1.3: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
3
3rd Nine Weeks
Topic VI - Similarity and Trigonometry - Part B
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2: Prove theorems involving similarity
912.G-SRT.2.4: Prove theorems about triangles.
912.G-SRT.2.4: Prove theorems about triangles.
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Similar triangles
Proofs
912.G-SRT.2.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Similar triangles
Proofs
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2: Use coordinates to prove simple geometric theorems algebraically
912.G-GPE.2.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
912.G-GPE.2.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
912.G-SRT.3: Define trigonometric ratios and solve problems involving right triangles
912.G-SRT.3: Define trigonometric ratios and solve problems involving right triangles
912.G-SRT.3.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
912.G-SRT.3.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
912.G-SRT.3.7: Explain and use the relationship between the sine and cosine of complementary angles.
912.G-SRT.3.7: Explain and use the relationship between the sine and cosine of complementary angles.
912.G-SRT.3.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Pythagorean Theorem
Trigonometric ratios
Solve a right triangle
912.G-SRT.3.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Pythagorean Theorem
Trigonometric ratios
Solve a right triangle
Topic VII - Properties of Circles
912.G-C.1: Understand and apply theorems about circles
912.G-C.1: Understand and apply theorems about circles
912.G-C.1.1: Prove that all circles are similar.
912.G-C.1.1: Prove that all circles are similar.
912.G-C.1.2: Identify and describe relationships among inscribed angles, radii, and chords.
Chords and tangent lines
Central and inscribed angles
912.G-C.1.2: Identify and describe relationships among inscribed angles, radii, and chords.
Chords and tangent lines
Central and inscribed angles
912.G-C.1.3: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Constructions
Properties of angles
912.G-C.1.3: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Constructions
Properties of angles
912.G-C.2: Find arc lengths and areas of sectors of circles
912.G-C.2: Find arc lengths and areas of sectors of circles
912.G-C.2.5: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
912.G-C.2.5: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
912.G-GPE.1: Translate between the geometric description and the equation for a conic section
912.G-GPE.1: Translate between the geometric description and the equation for a conic section
912.G-GPE.1.1: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Complete the square
Write equations and graph circles
912.G-GPE.1.1: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
Complete the square
Write equations and graph circles
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
912.G-GMD.1.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
Topic VIII - Measurement and Modeling in Two and Three Dimensions - Part A
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
912.G-GMD.1.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
4
4th Nine Weeks
Topic IX - Measurement and Modeling in Two and Three Dimensions - Part B
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1: Explain volume formulas and use them to solve problems
912.G-GMD.1.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
912.G-GMD.1.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
912.G-GMD.1.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
912.G-GMD.1.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
912.G-GMD.2: Visualize relationships between two-dimensional and three-dimensional objects
912.G-GMD.2: Visualize relationships between two-dimensional and three-dimensional objects
912.G-GMD.2.4: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
912.G-GMD.2.4: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
912.G-MG.1: Apply geometric concepts in modeling situations
912.G-MG.1: Apply geometric concepts in modeling situations
912.G-MG.1.1: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
912.G-MG.1.1: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
912.G-MG.1.2: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
912.G-MG.1.2: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
912.G-MG.1.3: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
912.G-MG.1.3: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Topic X - Geometry EOC Review
Review skills from previous weeks. Or, use the IXL Real-Time Diagnostic to receive a personalized action plan for each student.
Review skills from previous weeks. Or, use the IXL Real-Time Diagnostic to receive a personalized action plan for each student.
Topic XI - Transition to B.E.S.T.