IXL skill plan | Geometry EOC plan for the Florida B.E.S.T. Assessments

Skill plan for the Florida B.E.S.T. Assessments - Geometry EOC

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Logic, Relationships, and Theorems
Congruence, Similarity, and Constructions
Measurement and Geometry

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Logic, Relationships, and Theorems
Working towards Levels 2-3
Geometric theorems		Lines 1. Additive property of length 2. Midpoints Angles 3. Identify complementary, supplementary, vertical, adjacent, and congruent angles 4. Find measures of complementary, supplementary, vertical, and adjacent angles 5. Angle bisectors 6. Transversals: name angle pairs 7. Transversals of parallel lines: find angle measures 8. Transversals of parallel lines: solve for x 9. Proofs involving angles: justify a statement Congruence and similarity theorems 10. ASA and AAS Theorems 11. SSS and SAS Theorems 12. SSS, SAS, ASA, and AAS Theorems 13. Similarity rules for triangles Triangles 14. Triangle Angle-Sum Theorem 15. Exterior Angle Theorem 16. Exterior Angle Inequality 17. Midsegments of triangles 18. Triangle Inequality Theorem 19. Congruency in isosceles and equilateral triangles 20. Triangle Proportionality Theorem Quadrilaterals 21. Properties of parallelograms 22. Proving a quadrilateral is a parallelogram 23. Properties of rhombuses 24. Properties of squares and rectangles 25. Properties of trapezoids
Geometric theorems
Lines 1. Additive property of length 2. Midpoints Angles 3. Identify complementary, supplementary, vertical, adjacent, and congruent angles 4. Find measures of complementary, supplementary, vertical, and adjacent angles 5. Angle bisectors 6. Transversals: name angle pairs 7. Transversals of parallel lines: find angle measures 8. Transversals of parallel lines: solve for x 9. Proofs involving angles: justify a statement Congruence and similarity theorems 10. ASA and AAS Theorems 11. SSS and SAS Theorems 12. SSS, SAS, ASA, and AAS Theorems 13. Similarity rules for triangles Triangles 14. Triangle Angle-Sum Theorem 15. Exterior Angle Theorem 16. Exterior Angle Inequality 17. Midsegments of triangles 18. Triangle Inequality Theorem 19. Congruency in isosceles and equilateral triangles 20. Triangle Proportionality Theorem Quadrilaterals 21. Properties of parallelograms 22. Proving a quadrilateral is a parallelogram 23. Properties of rhombuses 24. Properties of squares and rectangles 25. Properties of trapezoids

Logic		1. Identify hypotheses and conclusions 2. Conditionals 3. Counterexamples
Logic
1. Identify hypotheses and conclusions 2. Conditionals 3. Counterexamples

Properties of circles		Angles, arcs, segments, and sectors 1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Arcs and chords 6. Inscribed angles 7. Segments formed by intersecting chords 8. Segments formed by intersecting secants Angles in inscribed right triangles 9. Angles in inscribed right triangles
Properties of circles
Angles, arcs, segments, and sectors 1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Arcs and chords 6. Inscribed angles 7. Segments formed by intersecting chords 8. Segments formed by intersecting secants Angles in inscribed right triangles 9. Angles in inscribed right triangles
Working towards Levels 4-5
Geometric theorems		Lines and angles 1. Perpendicular Bisector Theorem 2. Proofs involving angles 3. Proofs involving parallel lines I 4. Proofs involving parallel lines II Congruence 5. Proving triangles congruent by SSS and SAS 6. Proving triangles congruent by ASA and AAS 7. Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Hypotenuse-Leg Theorem Similarity 9. Prove similarity statements 10. Prove the Pythagorean theorem Triangles and quadrilaterals 11. Proofs involving triangles I 12. Proofs involving triangles II 13. Proofs involving isosceles triangles 14. Proofs involving triangles and quadrilaterals 15. Proofs involving quadrilaterals
Geometric theorems
Lines and angles 1. Perpendicular Bisector Theorem 2. Proofs involving angles 3. Proofs involving parallel lines I 4. Proofs involving parallel lines II Congruence 5. Proving triangles congruent by SSS and SAS 6. Proving triangles congruent by ASA and AAS 7. Proving triangles congruent by SSS, SAS, ASA, and AAS 8. Hypotenuse-Leg Theorem Similarity 9. Prove similarity statements 10. Prove the Pythagorean theorem Triangles and quadrilaterals 11. Proofs involving triangles I 12. Proofs involving triangles II 13. Proofs involving isosceles triangles 14. Proofs involving triangles and quadrilaterals 15. Proofs involving quadrilaterals

Logic		1. Negations 2. Converses, inverses, and contrapositives 3. Biconditionals 4. Counterexamples
Logic
1. Negations 2. Converses, inverses, and contrapositives 3. Biconditionals 4. Counterexamples

Properties of circles		Angles, arcs, segments, and sectors 1. Circle measurements: mixed review 2. Tangent lines 3. Segments formed by chords, secants, and tangents 4. Angles formed by chords, secants, and tangents Angles in inscribed quadrilaterals 5. Angles in inscribed quadrilaterals I 6. Angles in inscribed quadrilaterals II
Properties of circles
Angles, arcs, segments, and sectors 1. Circle measurements: mixed review 2. Tangent lines 3. Segments formed by chords, secants, and tangents 4. Angles formed by chords, secants, and tangents Angles in inscribed quadrilaterals 5. Angles in inscribed quadrilaterals I 6. Angles in inscribed quadrilaterals II

Checkpoint opportunity		1. Checkpoint: Line and angle theorems 2. Checkpoint: Parallelogram theorems 3. Checkpoint: Angles and lines in circles 4. Checkpoint: Arc length and area of sectors
Checkpoint opportunity
1. Checkpoint: Line and angle theorems 2. Checkpoint: Parallelogram theorems 3. Checkpoint: Angles and lines in circles 4. Checkpoint: Arc length and area of sectors

Congruence, Similarity, and Constructions
Working towards Levels 2-3
Congruence and similarity		Congruent figures 1. Congruence statements and corresponding parts 2. Identify congruent figures 3. Solve problems involving corresponding parts Similar figures 4. Ratios in similar figures 5. Similarity statements 6. Identify similar figures 7. Side lengths and angle measures in similar figures Congruence transformations 8. Translations: graph the image 9. Translations: find the coordinates 10. Reflections: graph the image 11. Reflections: find the coordinates 12. Rotations: graph the image 13. Rotations: find the coordinates 14. Classify congruence transformations 15. Transformations that carry a polygon onto itself 16. Sequences of congruence transformations: graph the image Changes in scale 17. Perimeter and area: changes in scale 18. Areas of similar figures 19. Surface area of similar prisms and cylinders 20. Surface area of similar pyramids and cones
Congruence and similarity
Congruent figures 1. Congruence statements and corresponding parts 2. Identify congruent figures 3. Solve problems involving corresponding parts Similar figures 4. Ratios in similar figures 5. Similarity statements 6. Identify similar figures 7. Side lengths and angle measures in similar figures Congruence transformations 8. Translations: graph the image 9. Translations: find the coordinates 10. Reflections: graph the image 11. Reflections: find the coordinates 12. Rotations: graph the image 13. Rotations: find the coordinates 14. Classify congruence transformations 15. Transformations that carry a polygon onto itself 16. Sequences of congruence transformations: graph the image Changes in scale 17. Perimeter and area: changes in scale 18. Areas of similar figures 19. Surface area of similar prisms and cylinders 20. Surface area of similar pyramids and cones

Constructions		1. Construct a congruent angle 2. Construct a congruent segment 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector
Constructions
1. Construct a congruent angle 2. Construct a congruent segment 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector
Working towards Levels 4-5
Congruence and similarity		Congruent figures 1. Solve problems involving corresponding parts Similar figures 2. Similar triangles and indirect measurement 3. Similarity and altitudes in right triangles 4. Proofs involving similarity in right triangles 5. Prove proportions or angle congruences using similarity Congruence transformations 6. Translations: write the rule 7. Congruence transformations: mixed review 8. Sequences of congruence transformations: graph the image 9. Sequences of congruence transformations: find the rules Similarity transformations 10. Dilations: find the coordinates 11. Dilations: find the scale factor 12. Similar triangles and similarity transformations Changes in scale 13. Volume of similar prisms and cylinders 14. Volume of similar pyramids and cones 15. Surface area and volume: changes in scale
Congruence and similarity
Congruent figures 1. Solve problems involving corresponding parts Similar figures 2. Similar triangles and indirect measurement 3. Similarity and altitudes in right triangles 4. Proofs involving similarity in right triangles 5. Prove proportions or angle congruences using similarity Congruence transformations 6. Translations: write the rule 7. Congruence transformations: mixed review 8. Sequences of congruence transformations: graph the image 9. Sequences of congruence transformations: find the rules Similarity transformations 10. Dilations: find the coordinates 11. Dilations: find the scale factor 12. Similar triangles and similarity transformations Changes in scale 13. Volume of similar prisms and cylinders 14. Volume of similar pyramids and cones 15. Surface area and volume: changes in scale

Constructions		1. Construct a congruent angle 2. Construct a congruent segment 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector 5. Construct a perpendicular line 6. Construct the circumcenter or incenter of a triangle 7. Construct the inscribed or circumscribed circle of a triangle
Constructions
1. Construct a congruent angle 2. Construct a congruent segment 3. Construct the midpoint or perpendicular bisector of a segment 4. Construct an angle bisector 5. Construct a perpendicular line 6. Construct the circumcenter or incenter of a triangle 7. Construct the inscribed or circumscribed circle of a triangle

Checkpoint opportunity		1. Checkpoint: Triangle similarity and congruence 2. Checkpoint: Triangle theorems 3. Checkpoint: Congruence transformations 4. Checkpoint: Rigid motion and congruence 5. Checkpoint: Similarity transformations 6. Checkpoint: Geometric constructions 7. Checkpoint: Inscribed and circumscribed circles
Checkpoint opportunity
1. Checkpoint: Triangle similarity and congruence 2. Checkpoint: Triangle theorems 3. Checkpoint: Congruence transformations 4. Checkpoint: Rigid motion and congruence 5. Checkpoint: Similarity transformations 6. Checkpoint: Geometric constructions 7. Checkpoint: Inscribed and circumscribed circles

Measurement and Geometry
Working towards Levels 2-3
Coordinate geometry		Parallel and perpendicular lines 1. Slopes of parallel and perpendicular lines 2. Find the distance between two parallel lines 3. Equations of parallel and perpendicular lines Midpoint formula 4. Midpoint formula: find the midpoint 5. Midpoint formula: find the endpoint Area and perimeter 6. Area and perimeter in the coordinate plane I 7. Area and perimeter in the coordinate plane II Classify quadrilaterals and triangles 8. Classify quadrilaterals on the coordinate plane: justify your answer 9. Classify triangles on the coordinate plane: justify your answer
Coordinate geometry
Parallel and perpendicular lines 1. Slopes of parallel and perpendicular lines 2. Find the distance between two parallel lines 3. Equations of parallel and perpendicular lines Midpoint formula 4. Midpoint formula: find the midpoint 5. Midpoint formula: find the endpoint Area and perimeter 6. Area and perimeter in the coordinate plane I 7. Area and perimeter in the coordinate plane II Classify quadrilaterals and triangles 8. Classify quadrilaterals on the coordinate plane: justify your answer 9. Classify triangles on the coordinate plane: justify your answer

Two- and three-dimensional figures		Three-dimensional figures 1. Cross sections of three-dimensional figures 2. Solids of revolution Area 3. Area of trapezoids 4. Area of rectangles and squares 5. Area of parallelograms and triangles 6. Area and circumference of circles Volume and surface area 7. Volume of prisms and cylinders 8. Volume of pyramids and cones 9. Surface area of pyramids and cones 10. Surface area of prisms and cylinders
Two- and three-dimensional figures
Three-dimensional figures 1. Cross sections of three-dimensional figures 2. Solids of revolution Area 3. Area of trapezoids 4. Area of rectangles and squares 5. Area of parallelograms and triangles 6. Area and circumference of circles Volume and surface area 7. Volume of prisms and cylinders 8. Volume of pyramids and cones 9. Surface area of pyramids and cones 10. Surface area of prisms and cylinders

Right triangles		Pythagorean theorem 1. Pythagorean theorem 2. Converse of the Pythagorean theorem Trigonometric ratios 3. Trigonometric ratios: sin, cos, and tan 4. Trigonometric ratios with radicals: sin, cos, and tan 5. Trigonometric ratios: csc, sec, and cot 6. Trigonometric ratios: find a side length 7. Trigonometric ratios: find an angle measure
Right triangles
Pythagorean theorem 1. Pythagorean theorem 2. Converse of the Pythagorean theorem Trigonometric ratios 3. Trigonometric ratios: sin, cos, and tan 4. Trigonometric ratios with radicals: sin, cos, and tan 5. Trigonometric ratios: csc, sec, and cot 6. Trigonometric ratios: find a side length 7. Trigonometric ratios: find an angle measure

Equations of circles		1. Write equations of circles in standard form from graphs 2. Write equations of circles in standard form using properties 3. Graph circles from equations in standard form
Equations of circles
1. Write equations of circles in standard form from graphs 2. Write equations of circles in standard form using properties 3. Graph circles from equations in standard form
Working towards Levels 4-5
Coordinate geometry		Line segments 1. Partition a line segment in a given ratio Triangles and quadrilaterals 2. SSS Theorem in the coordinate plane 3. Find the centroid of a triangle 4. Classify shapes on the coordinate plane: justify your answer Area and perimeter 5. Area and perimeter in the coordinate plane II Circles 6. Find the radius or diameter of a circle 7. Determine if a point lies on a circle
Coordinate geometry
Line segments 1. Partition a line segment in a given ratio Triangles and quadrilaterals 2. SSS Theorem in the coordinate plane 3. Find the centroid of a triangle 4. Classify shapes on the coordinate plane: justify your answer Area and perimeter 5. Area and perimeter in the coordinate plane II Circles 6. Find the radius or diameter of a circle 7. Determine if a point lies on a circle

Two- and three-dimensional figures		Three-dimensional figures 1. Cross sections of three-dimensional figures 2. Solids of revolution Area 3. Area of compound figures 4. Area between two shapes Surface area and volume 5. Surface area of spheres 6. Volume of spheres 7. Surface area and volume review 8. Similar solids: find the missing length 9. Surface area and volume of similar solids Density, mass, and volume 10. Calculate density, mass, and volume
Two- and three-dimensional figures
Three-dimensional figures 1. Cross sections of three-dimensional figures 2. Solids of revolution Area 3. Area of compound figures 4. Area between two shapes Surface area and volume 5. Surface area of spheres 6. Volume of spheres 7. Surface area and volume review 8. Similar solids: find the missing length 9. Surface area and volume of similar solids Density, mass, and volume 10. Calculate density, mass, and volume

Right triangles		1. Pythagorean Inequality Theorems 2. Special right triangles 3. Trigonometric ratios in similar right triangles 4. Solve a right triangle
Right triangles
1. Pythagorean Inequality Theorems 2. Special right triangles 3. Trigonometric ratios in similar right triangles 4. Solve a right triangle

Equations of circles		1. Write equations of circles in standard form using properties 2. Convert equations of circles from general to standard form 3. Find properties of circles from equations in general form 4. Graph circles from equations in general form
Equations of circles
1. Write equations of circles in standard form using properties 2. Convert equations of circles from general to standard form 3. Find properties of circles from equations in general form 4. Graph circles from equations in general form

Checkpoint opportunity		1. Checkpoint: Partition a line segment 2. Checkpoint: Coordinate proofs 3. Checkpoint: Area and perimeter in the coordinate plane 4. Checkpoint: Cross sections and solids of revolution 5. Checkpoint: Density 6. Checkpoint: Volume 7. Checkpoint: Right triangle trigonometry 8. Checkpoint: Equations of circles
Checkpoint opportunity
1. Checkpoint: Partition a line segment 2. Checkpoint: Coordinate proofs 3. Checkpoint: Area and perimeter in the coordinate plane 4. Checkpoint: Cross sections and solids of revolution 5. Checkpoint: Density 6. Checkpoint: Volume 7. Checkpoint: Right triangle trigonometry 8. Checkpoint: Equations of circles

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