IXL skill plan | Geometry plan for Chesapeake Public Schools

Skill plan for Chesapeake Public Schools - Geometry

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

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1	Unit 1 Geometry Basics
Distance and midpoint formulas		Distance 1. Distance formula Midpoints 2. Midpoints 3. Midpoint formula: find the midpoint 4. Midpoint formula: find the endpoint
Distance and midpoint formulas
Distance 1. Distance formula Midpoints 2. Midpoints 3. Midpoint formula: find the midpoint 4. Midpoint formula: find the endpoint

4.MG.4: The student will identify, describe, and draw points, rays, line segments, angles, and lines, including intersecting, parallel, and perpendicular lines.		1. Lines, line segments, and rays
4.MG.4: The student will identify, describe, and draw points, rays, line segments, angles, and lines, including intersecting, parallel, and perpendicular lines.
1. Lines, line segments, and rays

5.MG.3: The student will classify and measure angles and triangles, and solve problems, including those in context.		1. Classify angles
5.MG.3: The student will classify and measure angles and triangles, and solve problems, including those in context.
1. Classify angles

8.MG.1: The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles.		1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Angle diagrams: solve for the variable
8.MG.1: The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles.
1. Identify complementary, supplementary, vertical, adjacent, and congruent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Angle diagrams: solve for the variable

2	Unit 2 Logic
G.RLT.1: The student will translate logic statements, identify conditional statements, and use and interpret Venn diagrams.		Logic statements 1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals 4. Negations 5. Converses, inverses, and contrapositives 6. Biconditionals Truth tables 7. Truth tables 8. Truth values Venn diagrams 9. Sort polygons into Venn diagrams 10. Use Venn diagrams to solve problems
G.RLT.1: The student will translate logic statements, identify conditional statements, and use and interpret Venn diagrams.
Logic statements 1. Identify hypotheses and conclusions 2. Counterexamples 3. Conditionals 4. Negations 5. Converses, inverses, and contrapositives 6. Biconditionals Truth tables 7. Truth tables 8. Truth values Venn diagrams 9. Sort polygons into Venn diagrams 10. Use Venn diagrams to solve problems

3	Unit 3 Parallel & Perpendicular Lines
A.F.1: The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.		1. Equations of horizontal and vertical lines 2. Slopes of parallel and perpendicular lines 3. Write an equation for a parallel or perpendicular line
A.F.1: The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.
1. Equations of horizontal and vertical lines 2. Slopes of parallel and perpendicular lines 3. Write an equation for a parallel or perpendicular line

G.RLT.2: The student will analyze, prove, and justify the relationships of parallel lines cut by a transversal.		Transversals 1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x Proofs 4. Proofs involving parallel lines I 5. Proofs involving parallel lines II
G.RLT.2: The student will analyze, prove, and justify the relationships of parallel lines cut by a transversal.
Transversals 1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x Proofs 4. Proofs involving parallel lines I 5. Proofs involving parallel lines II

Checkpoint opportunity		1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Parallel line theorems
Checkpoint opportunity
1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Parallel line theorems

4	Unit 4 Triangle Basics & Inequalities
G.TR.1: The student will determine the relationships between the measures of angles and lengths of sides in triangles, including problems in context.		1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Angle-side relationships in triangles 4. Triangle Inequality Theorem
G.TR.1: The student will determine the relationships between the measures of angles and lengths of sides in triangles, including problems in context.
1. Triangle Angle-Sum Theorem 2. Exterior Angle Theorem 3. Angle-side relationships in triangles 4. Triangle Inequality Theorem

5	Unit 5 Triangle Congruence
G.TR.2: The student will, given information in the form of a figure or statement, prove and justify two triangles are congruent using direct and indirect proofs, and solve problems involving measured attributes of congruent triangles.		Triangle congruence theorems 1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems 4. SSS Theorem in the coordinate plane 5. Hypotenuse-Leg Theorem Proofs 6. Proving triangles congruent by SSS and SAS 7. Proving triangles congruent by ASA and AAS 8. Proving triangles congruent by SSS, SAS, ASA, and AAS 9. Proofs involving corresponding parts of congruent triangles 10. Proofs involving isosceles triangles Constructions 11. Construct a congruent segment 12. Construct a congruent angle
G.TR.2: The student will, given information in the form of a figure or statement, prove and justify two triangles are congruent using direct and indirect proofs, and solve problems involving measured attributes of congruent triangles.
Triangle congruence theorems 1. SSS and SAS Theorems 2. ASA and AAS Theorems 3. SSS, SAS, ASA, and AAS Theorems 4. SSS Theorem in the coordinate plane 5. Hypotenuse-Leg Theorem Proofs 6. Proving triangles congruent by SSS and SAS 7. Proving triangles congruent by ASA and AAS 8. Proving triangles congruent by SSS, SAS, ASA, and AAS 9. Proofs involving corresponding parts of congruent triangles 10. Proofs involving isosceles triangles Constructions 11. Construct a congruent segment 12. Construct a congruent angle

6	Unit 6 Triangle Similarity
G.TR.3: The student will, given information in the form of a figure or statement, prove and justify two triangles are similar using direct and indirect proofs, and solve problems, including those in context, involving measured attributes of similar triangles.		Similarity rules 1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles Similarity transformations 3. Similar triangles and similarity transformations 4. Determine if two figures are similar: justify your answer Solve problems with triangles 5. Side lengths and angle measures in similar figures 6. Similar triangles and indirect measurement 7. Similar figures: shadow word problems 8. Triangle Proportionality Theorem 9. Similarity and altitudes in right triangles Proofs 10. Prove similarity statements 11. Proofs involving similarity in right triangles
G.TR.3: The student will, given information in the form of a figure or statement, prove and justify two triangles are similar using direct and indirect proofs, and solve problems, including those in context, involving measured attributes of similar triangles.
Similarity rules 1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles Similarity transformations 3. Similar triangles and similarity transformations 4. Determine if two figures are similar: justify your answer Solve problems with triangles 5. Side lengths and angle measures in similar figures 6. Similar triangles and indirect measurement 7. Similar figures: shadow word problems 8. Triangle Proportionality Theorem 9. Similarity and altitudes in right triangles Proofs 10. Prove similarity statements 11. Proofs involving similarity in right triangles

Checkpoint opportunity		1. Checkpoint: Similarity transformations 2. Checkpoint: Triangle similarity and congruence
Checkpoint opportunity
1. Checkpoint: Similarity transformations 2. Checkpoint: Triangle similarity and congruence

7	Unit 7 Right Triangles
G.TR.4: The student will model and solve problems, including those in context, involving trigonometry in right triangles and applications of the Pythagorean Theorem.		Pythagorean theorem 1. Pythagorean theorem 2. Converse of the Pythagorean theorem Right triangle trigonometry 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 in similar right triangles 7. Sine and cosine of complementary angles 8. Trigonometric ratios: find a side length 9. Trigonometric ratios: find an angle measure 10. Solve a right triangle Special right triangles 11. Special right triangles 12. Solve a special right triangle
G.TR.4: The student will model and solve problems, including those in context, involving trigonometry in right triangles and applications of the Pythagorean Theorem.
Pythagorean theorem 1. Pythagorean theorem 2. Converse of the Pythagorean theorem Right triangle trigonometry 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 in similar right triangles 7. Sine and cosine of complementary angles 8. Trigonometric ratios: find a side length 9. Trigonometric ratios: find an angle measure 10. Solve a right triangle Special right triangles 11. Special right triangles 12. Solve a special right triangle

Checkpoint opportunity		1. Checkpoint: Right triangle trigonometry
Checkpoint opportunity
1. Checkpoint: Right triangle trigonometry

8	Unit 8 Polygons & Quadrilateral Relationships
G.PC.1: The student will prove and justify theorems and properties of quadrilaterals, and verify and use properties of quadrilaterals to solve problems, including the relationships between the sides, angles, and diagonals.		Properties of quadrilaterals 1. Properties of parallelograms 2. Properties of rhombuses 3. Properties of squares and rectangles 4. Properties of trapezoids 5. Properties of kites Classify shapes 6. Classify shapes on the coordinate plane: justify your answer Proofs 7. Proving a quadrilateral is a parallelogram 8. Proofs involving quadrilaterals Constructions 9. Construct the midpoint or perpendicular bisector of a segment 10. Construct an angle bisector 11. Construct a perpendicular line 12. Construct parallel lines
G.PC.1: The student will prove and justify theorems and properties of quadrilaterals, and verify and use properties of quadrilaterals to solve problems, including the relationships between the sides, angles, and diagonals.
Properties of quadrilaterals 1. Properties of parallelograms 2. Properties of rhombuses 3. Properties of squares and rectangles 4. Properties of trapezoids 5. Properties of kites Classify shapes 6. Classify shapes on the coordinate plane: justify your answer Proofs 7. Proving a quadrilateral is a parallelogram 8. Proofs involving quadrilaterals Constructions 9. Construct the midpoint or perpendicular bisector of a segment 10. Construct an angle bisector 11. Construct a perpendicular line 12. Construct parallel lines

G.PC.2: The student will verify relationships and solve problems involving the number of sides and measures of angles of convex polygons.		1. Exterior Angle Inequality 2. Interior and exterior angles of polygons: mixed practice
G.PC.2: The student will verify relationships and solve problems involving the number of sides and measures of angles of convex polygons.
1. Exterior Angle Inequality 2. Interior and exterior angles of polygons: mixed practice

Checkpoint opportunity		1. Checkpoint: Quadrilateral proofs 2. Checkpoint: Geometric constructions
Checkpoint opportunity
1. Checkpoint: Quadrilateral proofs 2. Checkpoint: Geometric constructions

9	Unit 9 Transformations
G.RLT.3: The student will solve problems, including contextual problems, involving symmetry and transformation.		Symmetry 1. Rotational symmetry 2. Count lines of symmetry Translations 3. Translations: graph the image 4. Translations: write the rule Reflections and rotations 5. Reflections: graph the image 6. Rotations: graph the image 7. Reflections and rotations: write the rule Dilations 8. Dilations: graph the image 9. Dilations: find the scale factor and center of the dilation Mixed transformations 10. Sequences of congruence transformations: graph the image 11. Sequences of congruence transformations: choose the sequence 12. Sequences of congruence transformations: find the rules
G.RLT.3: The student will solve problems, including contextual problems, involving symmetry and transformation.
Symmetry 1. Rotational symmetry 2. Count lines of symmetry Translations 3. Translations: graph the image 4. Translations: write the rule Reflections and rotations 5. Reflections: graph the image 6. Rotations: graph the image 7. Reflections and rotations: write the rule Dilations 8. Dilations: graph the image 9. Dilations: find the scale factor and center of the dilation Mixed transformations 10. Sequences of congruence transformations: graph the image 11. Sequences of congruence transformations: choose the sequence 12. Sequences of congruence transformations: find the rules

Checkpoint opportunity		1. Checkpoint: Transformations on the coordinate plane
Checkpoint opportunity
1. Checkpoint: Transformations on the coordinate plane

10	Unit 10 Circles on the Coordinate Plane
G.PC.4: The student will solve problems in the coordinate plane involving equations of circles.		Properties of circles 1. Find the center of a circle 2. Find the radius or diameter of a circle 3. Determine if a point lies on a circle 4. Find properties of circles from equations in general form Equations of circles 5. Derive equations of circles using the Pythagorean theorem 6. Graph circles from equations in standard form 7. Write equations of circles in standard form from graphs 8. Write equations of circles in standard form using properties
G.PC.4: The student will solve problems in the coordinate plane involving equations of circles.
Properties of circles 1. Find the center of a circle 2. Find the radius or diameter of a circle 3. Determine if a point lies on a circle 4. Find properties of circles from equations in general form Equations of circles 5. Derive equations of circles using the Pythagorean theorem 6. Graph circles from equations in standard form 7. Write equations of circles in standard form from graphs 8. Write equations of circles in standard form using properties

Checkpoint opportunity		1. Checkpoint: Equations of circles
Checkpoint opportunity
1. Checkpoint: Equations of circles

11	Unit 11 Arc & Angle Measures & Circles
G.PC.3: The student will solve problems, including those in context, by applying properties of circles.		1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Circle measurements: mixed review 6. Inscribed angles
G.PC.3: The student will solve problems, including those in context, by applying properties of circles.
1. Central angles and arc measures 2. Understand arc length and sector area of a circle 3. Arc length 4. Area of sectors 5. Circle measurements: mixed review 6. Inscribed angles

Checkpoint opportunity		1. Checkpoint: Arc length and area of sectors
Checkpoint opportunity
1. Checkpoint: Arc length and area of sectors

12	Unit 12 Area and Volume of Solids & Similar Solids
G.DF.1: The student will create models and solve problems, including those in context, involving surface area and volume of rectangular and triangular prisms, cylinders, cones, pyramids, and spheres.		Cross sections 1. Cross sections of three-dimensional figures Surface area 2. Surface area of prisms and cylinders 3. Surface area of pyramids and cones 4. Surface area of spheres Volume 5. Volume of prisms and cylinders 6. Volume of pyramids and cones 7. Volume of spheres 8. Volume of compound figures
G.DF.1: The student will create models and solve problems, including those in context, involving surface area and volume of rectangular and triangular prisms, cylinders, cones, pyramids, and spheres.
Cross sections 1. Cross sections of three-dimensional figures Surface area 2. Surface area of prisms and cylinders 3. Surface area of pyramids and cones 4. Surface area of spheres Volume 5. Volume of prisms and cylinders 6. Volume of pyramids and cones 7. Volume of spheres 8. Volume of compound figures

G.DF.2: The student will determine the effect of changing one or more dimensions of a three-dimensional geometric figure and describe the relationship between the original and changed figure.		1. Similar solids: find the missing length 2. Surface area and volume of similar solids 3. Surface area and volume: changes in scale
G.DF.2: The student will determine the effect of changing one or more dimensions of a three-dimensional geometric figure and describe the relationship between the original and changed figure.
1. Similar solids: find the missing length 2. Surface area and volume of similar solids 3. Surface area and volume: changes in scale

Checkpoint opportunity		1. Checkpoint: Cross sections 2. Checkpoint: Surface area 3. Checkpoint: Volume 4. Checkpoint: Geometric modeling and design in three dimensions
Checkpoint opportunity
1. Checkpoint: Cross sections 2. Checkpoint: Surface area 3. Checkpoint: Volume 4. Checkpoint: Geometric modeling and design in three dimensions