IXL Skill Plan - IXL Learning

[Pages:10]IXL Skill Plan

Florida's B.E.S.T. Standards: Geometry

Use IXL's interactive skill plan to get up-to-date skill alignments, assign skills to your students, and track progress.

math/skill-plans/floridas-best-standards-geometry

Visit for more information

IXL Learning ? 2024

Florida's B.E.S.T. Standards - Geometry

GR | Geometric Reasoning

MA.912.GR.1 Prove and apply geometric theorems to solve problems.

MA.912.GR.1.1: Prove relationships and theorems about lines and angles. Solve mathematical and real-world problems involving postulates, relationships and theorems of lines and angles.

1. Proofs involving angles HV9 2. Transversals of parallel lines: find angle

measures WB9 3. Transversals of parallel lines: solve for x RSV 4. Proofs involving parallel lines I CUV 5. Proofs involving parallel lines II 5U8

MA.912.GR.1.2: Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.

Congruence theorems

1. SSS and SAS Theorems 48Q 2. ASA and AAS Theorems N94 3. SSS, SAS, ASA, and AAS Theorems LER 4. SSS Theorem in the coordinate plane C5G

Prove triangle congruence

5. Proving triangles congruent by SSS and SAS VVZ

6. Proving triangles congruent by ASA and AAS 23Z

7. Proving triangles congruent by SSS, SAS, ASA, and AAS SZL

Similarity theorems

8. Similarity rules for triangles XJQ

Prove triangle similarity

9. Prove similarity statements ETX

MA.912.GR.1.3: Prove relationships and theorems about triangles. Solve mathematical and real-world problems involving postulates, relationships and theorems of triangles.

Angle relationships

1. Triangle Angle-Sum Theorem UBU 2. Exterior Angle Theorem TGK 3. Exterior Angle Inequality YQA 4. Proofs involving triangles I G78

Segment relationships

5. Midsegments of triangles 8GT 6. Triangle Inequality Theorem BW7 7. Proofs involving triangles II DUQ

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 1

Florida's B.E.S.T. Standards - Geometry

MA.912.GR.1.4: Prove relationships and theorems about parallelograms. Solve mathematical and realworld problems involving postulates, relationships and theorems of parallelograms.

MA.912.GR.1.5: Prove relationships and theorems about trapezoids. Solve mathematical and realworld problems involving postulates, relationships and theorems of trapezoids.

MA.912.GR.1.6: Solve mathematical and real-world problems involving congruence or similarity in twodimensional figures.

Isosceles, equilateral, and right triangles

8. Congruency in isosceles and equilateral triangles HPR

9. Proofs involving isosceles triangles V45 10. Hypotenuse-Leg Theorem VQJ

1. Properties of parallelograms LLK 2. Proving a quadrilateral is a parallelogram H89 3. Proofs involving triangles and

quadrilaterals V7W 4. Proofs involving quadrilaterals P77

1. Properties of trapezoids UC9 2. Proofs involving triangles and

quadrilaterals V7W 3. Proofs involving quadrilaterals P77

Congruent figures

1. Congruence statements and corresponding parts CYL

2. Solve problems involving corresponding parts WYB

3. Identify congruent figures HU9

Similar figures

4. Ratios in similar figures BT7 5. Similarity statements UG8 6. Identify similar figures 85X 7. Side lengths and angle measures in similar

figures E2K 8. Perimeters of similar figures 9T8 9. Areas of similar figures 2BA

Similar triangles

10. Similar triangles and indirect measurement JWK

11. Similarity and altitudes in right triangles CE7 12. Prove proportions or angle congruences using

similarity DDY 13. Proofs involving similarity in right triangles XCT

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 2

Florida's B.E.S.T. Standards - Geometry

Checkpoint opportunity

1. Checkpoint: Line and angle theorems SXW 2. Checkpoint: Triangle similarity and

congruence 5MD 3. Checkpoint: Parallelogram theorems F5J 4. Checkpoint: Triangle theorems ATA

MA.912.GR.2 Apply properties of transformations to describe congruence or similarity.

MA.912.GR.2.1: Given a preimage and image, describe the transformation and represent the transformation algebraically using coordinates.

Translations

1. Translations: find the coordinates F8U 2. Translations: write the rule 9PR

Reflections

3. Reflections: find the coordinates SVY

Rotations

4. Rotations: find the coordinates ZX5

Congruence transformations

5. Classify congruence transformations CXT 6. Reflections and rotations: write the rule DMC 7. Congruence transformations: mixed review XQ7

Dilations

8. Dilations: find the coordinates 5KZ 9. Dilations: find the scale factor ZDM

MA.912.GR.2.2: Identify transformations that do or do not preserve distance.

MA.912.GR.2.3: Identify a sequence of transformations that will map a given figure onto itself or onto another congruent or similar figure.

1. Sequences of congruence transformations: find the rules GFH

2. Transformations that carry a polygon onto itself RJW

MA.912.GR.2.5: Given a geometric figure and a sequence of transformations, draw the transformed figure on a coordinate plane.

Single transformations

1. Translations: graph the image 7AC 2. Reflections: graph the image SM9 3. Rotations: graph the image 6SD 4. Dilations: graph the image ZRD

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 3

Florida's B.E.S.T. Standards - Geometry

Sequence of transformations

5. Sequences of congruence transformations: graph the image WHW

MA.912.GR.2.6: Apply rigid transformations to map one figure onto another to justify that the two figures are congruent.

MA.912.GR.2.8: Apply an appropriate transformation to map one figure onto another to justify that the two figures are similar.

1. Similar triangles and similarity transformations G2Z

Checkpoint opportunity

1. Checkpoint: Congruence transformations RJR 2. Checkpoint: Rigid motion and congruence G79 3. Checkpoint: Similarity transformations G6J

MA.912.GR.3 Use coordinate geometry to solve problems or prove relationships.

MA.912.GR.3.1: Determine the weighted average of two or more points on a line.

MA.912.GR.3.2: Given a mathematical context, use coordinate geometry to classify or justify definitions, properties and theorems involving circles, triangles or quadrilaterals.

MA.912.GR.3.3: Use coordinate geometry to solve mathematical and real-world geometric problems involving lines, circles, triangles and quadrilaterals.

1. SSS Theorem in the coordinate plane C5G 2. Classify shapes on the coordinate plane: justify

your answer 8MQ

Parallel and perpendicular lines

1. Slopes of parallel and perpendicular lines 6K2 2. Equations of parallel and perpendicular

lines VEB 3. Find the distance between two parallel lines A7B

Circles

4. Find the radius or diameter of a circle VGW 5. Determine if a point lies on a circle 4D2

Midpoint formula

6. Midpoint formula: find the midpoint 2YG 7. Midpoint formula: find the endpoint EUW

Triangles

8. Find the centroid of a triangle P9S

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 4

Florida's B.E.S.T. Standards - Geometry

MA.912.GR.3.4: Use coordinate geometry to solve mathematical and real-world problems on the coordinate plane involving perimeter or area of polygons.

1. Area and perimeter in the coordinate plane I QWZ

2. Area and perimeter in the coordinate plane II MHQ

Checkpoint opportunity

1. Checkpoint: Partition a line segment U7H

2. Checkpoint: Coordinate proofs 26X

3. Checkpoint: Area and perimeter in the coordinate plane 9VT

MA.912.GR.4 Use geometric measurement and dimensions to solve problems.

MA.912.GR.4.1: Identify the shapes of twodimensional cross-sections of three-dimensional figures.

1. Cross sections of three-dimensional figures 7Z4

MA.912.GR.4.2: Identify three-dimensional objects generated by rotations of two-dimensional figures.

1. Solids of revolution LKT

MA.912.GR.4.3: Extend previous understanding of scale drawings and scale factors to determine how dilations affect the area of two-dimensional figures and the surface area or volume of three-dimensional figures.

1. Perimeter and area: changes in scale ETV

2. Surface area and volume: changes in scale T9H

3. Perimeter, area, and volume: changes in scale 7JU

MA.912.GR.4.4: Solve mathematical and real-world problems involving the area of two-dimensional figures.

Polygons

1. Area of rectangles and squares SUA 2. Area of parallelograms and triangles JTR 3. Area of trapezoids MP6 4. Area of regular polygons R73

Circles

5. Area and circumference of circles ZDX

Complex figures

6. Area of compound figures KHG 7. Area between two shapes SB6

MA.912.GR.4.5: Solve mathematical and real-world problems involving the volume of threedimensional figures limited to cylinders, pyramids, prisms, cones and spheres.

Volume

1. Volume of prisms and cylinders N5F 2. Volume of pyramids and cones 7J3 3. Volume of spheres 62N

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 5

Florida's B.E.S.T. Standards - Geometry

Surface area and volume

4. Similar solids: find the missing length UT7 5. Surface area and volume of similar solids N9X 6. Surface area and volume review TER

MA.912.GR.4.6: Solve mathematical and real-world problems involving the surface area of threedimensional figures limited to cylinders, pyramids, prisms, cones and spheres.

Surface area

1. Surface area of prisms and cylinders SWV 2. Surface area of pyramids and cones 8WX 3. Surface area of spheres TGF

Surface area and volume

4. Similar solids: find the missing length UT7 5. Surface area and volume of similar solids N9X 6. Surface area and volume review TER

Checkpoint opportunity

1. Checkpoint: Density BDY

2. Checkpoint: Cross sections and solids of revolution H2M

3. Checkpoint: Volume Y9S

MA.912.GR.5 Make formal geometric constructions with a variety of tools and methods.

MA.912.GR.5.1: Construct a copy of a segment or an angle.

1. Construct a congruent segment LRJ 2. Construct a congruent angle F7V

MA.912.GR.5.2: Construct the bisector of a segment or an angle, including the perpendicular bisector of a line segment.

1. Construct the midpoint or perpendicular bisector of a segment HDT

2. Construct an angle bisector FHL

MA.912.GR.5.3: Construct the inscribed and circumscribed circles of a triangle.

1. Construct the inscribed or circumscribed circle of a triangle 8VS

Checkpoint opportunity

1. Checkpoint: Geometric constructions HBH

MA.912.GR.6 Use properties and theorems related to circles.

MA.912.GR.6.1: Solve mathematical and real-world problems involving the length of a secant, tangent, segment or chord in a given circle.

1. Arcs and chords P63

2. Tangent lines CFV

3. Segments formed by chords, secants, and tangents HPE

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 6

Florida's B.E.S.T. Standards - Geometry

MA.912.GR.6.2: Solve mathematical and real-world problems involving the measures of arcs and related angles.

1. Central angles and arc measures VZX 2. Arcs and chords P63 3. Inscribed angles 98U 4. Angles formed by chords, secants, and

tangents ZN9

MA.912.GR.6.3: Solve mathematical problems involving triangles and quadrilaterals inscribed in a circle.

1. Angles in inscribed right triangles 6DL 2. Angles in inscribed quadrilaterals I 24Y 3. Angles in inscribed quadrilaterals II 2Y5

MA.912.GR.6.4: Solve mathematical and real-world problems involving the arc length and area of a sector in a given circle.

1. Understand arc length and sector area of a circle UGV

2. Arc length 7L9

3. Area of sectors XZQ

Checkpoint opportunity

1. Checkpoint: Angles and lines in circles T95

2. Checkpoint: Inscribed and circumscribed circles DCT

3. Checkpoint: Arc length and area of sectors LZ2

MA.912.GR.7 Apply geometric and algebraic representations of conic sections.

MA.912.GR.7.2: Given a mathematical or realworld context, derive and create the equation of a circle using key features.

1. Derive equations of circles using the Pythagorean theorem N5A

2. Write equations of circles in standard form from graphs 8HJ

3. Write equations of circles in standard form using properties EXA

4. Convert equations of circles from general to standard form YM5

MA.912.GR.7.3: Graph and solve mathematical and real-world problems that are modeled with an equation of a circle. Determine and interpret key features in terms of the context.

1. Find properties of circles from equations in general form EAJ

2. Graph circles from equations in standard form GVH

3. Graph circles from equations in general form 2AU

Checkpoint opportunity

1. Checkpoint: Equations of circles M2P

Visit IXL's interactive skill plan at math/skill-plans/floridas-best-standards-geometry

? 2024 IXL Learning. Visit today!

p. 7

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download