IXL skill plan | Geometry plan for Carnegie Learning Texas Math Solution

Skill plan for Carnegie Learning Texas Math Solution - Geometry

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

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1	Module 1 Reasoning with Shapes
Topic 1 - Using a Rectangular Coordinate System
Lesson 1.1: The Squariest Square		1. Classify quadrilaterals I Also consider: • Classify quadrilaterals II
Lesson 1.1: The Squariest Square
1. Classify quadrilaterals I Also consider: • Classify quadrilaterals II

Lesson 1.2: Hip to Be Square		1. Construct a perpendicular line 2. Construct the midpoint or perpendicular bisector of a segment 3. Construct a congruent segment Also consider: • Construct a square
Lesson 1.2: Hip to Be Square
1. Construct a perpendicular line 2. Construct the midpoint or perpendicular bisector of a segment 3. Construct a congruent segment Also consider: • Construct a square

Lesson 1.3: Ts and Train Tracks		1. Construct parallel lines 2. Slopes of parallel and perpendicular lines 3. Equations of parallel and perpendicular lines
Lesson 1.3: Ts and Train Tracks
1. Construct parallel lines 2. Slopes of parallel and perpendicular lines 3. Equations of parallel and perpendicular lines

Lesson 1.4: Where Has Polly Gon?		1. Distance formula 2. Midpoint formula: find the midpoint 3. Classify shapes on the coordinate plane: justify your answer Also consider: • Midpoint formula: find the endpoint • Graph triangles and quadrilaterals
Lesson 1.4: Where Has Polly Gon?
1. Distance formula 2. Midpoint formula: find the midpoint 3. Classify shapes on the coordinate plane: justify your answer Also consider: • Midpoint formula: find the endpoint • Graph triangles and quadrilaterals

Lesson 1.5: In and Out and All About		1. Area and perimeter in the coordinate plane I 2. Area of compound figures with rectangles and triangles 3. Area of regular polygons Also consider: • Perimeter and area: changes in scale • Area and perimeter in the coordinate plane II
Lesson 1.5: In and Out and All About
1. Area and perimeter in the coordinate plane I 2. Area of compound figures with rectangles and triangles 3. Area of regular polygons Also consider: • Perimeter and area: changes in scale • Area and perimeter in the coordinate plane II

Checkpoint opportunity		1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Area and perimeter in the coordinate plane
Checkpoint opportunity
1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Area and perimeter in the coordinate plane
Topic 2 - Rigid Motions on a Plane
Lesson 2.1: Put Your Input In, Take Your Output Out		1. Reflection, rotation, and translation
Lesson 2.1: Put Your Input In, Take Your Output Out
1. Reflection, rotation, and translation

Lesson 2.2: Bow Thai		1. Translations: graph the image 2. Translations: write the rule Also consider: • Translations: find the coordinates
Lesson 2.2: Bow Thai
1. Translations: graph the image 2. Translations: write the rule Also consider: • Translations: find the coordinates

Lesson 2.3: Staring Back at Me		1. Reflections: graph the image Also consider: • Glide reflections: graph the image • Reflections: find the coordinates
Lesson 2.3: Staring Back at Me
1. Reflections: graph the image Also consider: • Glide reflections: graph the image • Reflections: find the coordinates

Lesson 2.4: Turn Yourself Around		1. Rotations: graph the image 2. Rotate polygons about a point Also consider: • Reflections and rotations: write the rule • Rotations: find the coordinates
Lesson 2.4: Turn Yourself Around
1. Rotations: graph the image 2. Rotate polygons about a point Also consider: • Reflections and rotations: write the rule • Rotations: find the coordinates

Lesson 2.5: Slide, Flip, Turn: The Latest Dance Craze?		1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules 3. Congruence transformations: mixed review Also consider: • Sequences of congruence transformations: choose the sequence
Lesson 2.5: Slide, Flip, Turn: The Latest Dance Craze?
1. Sequences of congruence transformations: graph the image 2. Sequences of congruence transformations: find the rules 3. Congruence transformations: mixed review Also consider: • Sequences of congruence transformations: choose the sequence

Lesson 2.6: OKEECHOBEE		1. Line symmetry 2. Rotational symmetry Also consider: • Draw lines of symmetry • Count lines of symmetry • Transformations that carry a polygon onto itself
Lesson 2.6: OKEECHOBEE
1. Line symmetry 2. Rotational symmetry Also consider: • Draw lines of symmetry • Count lines of symmetry • Transformations that carry a polygon onto itself

Checkpoint opportunity		1. Checkpoint: Congruence transformations 2. Checkpoint: Transformations of geometric figures
Checkpoint opportunity
1. Checkpoint: Congruence transformations 2. Checkpoint: Transformations of geometric figures
Topic 3 - Congruence Through Transformations
Lesson 3.1: Elemental		1. Conditionals 2. Counterexamples 3. Truth values Also consider: • Additive property of length • Angle diagrams: solve for the variable
Lesson 3.1: Elemental
1. Conditionals 2. Counterexamples 3. Truth values Also consider: • Additive property of length • Angle diagrams: solve for the variable

Lesson 3.2: ASA, SAS, and SSS		1. Prove triangles are congruent using rigid motions 2. Congruence statements and corresponding parts of triangles Also consider: • Determine if two figures are congruent: justify your answer
Lesson 3.2: ASA, SAS, and SSS
1. Prove triangles are congruent using rigid motions 2. Congruence statements and corresponding parts of triangles Also consider: • Determine if two figures are congruent: justify your answer

Lesson 3.3: I Never Forget a Face		1. SSS Theorem in the coordinate plane 2. SSS, SAS, and ASA Theorems Also consider: • Solve problems involving corresponding parts of congruent triangles
Lesson 3.3: I Never Forget a Face
1. SSS Theorem in the coordinate plane 2. SSS, SAS, and ASA Theorems Also consider: • Solve problems involving corresponding parts of congruent triangles

Checkpoint opportunity		1. Checkpoint: Rigid motion and congruence
Checkpoint opportunity
1. Checkpoint: Rigid motion and congruence

2	Module 2 Establishing Congruence
Topic 1 - Composing and Decomposing Shapes
Lesson 1.1: Running Circles Around Geometry		1. Parts of a circle 2. Transversals: name angle pairs
Lesson 1.1: Running Circles Around Geometry
1. Parts of a circle 2. Transversals: name angle pairs

Lesson 1.2: The Quad Squad		1. Proving a quadrilateral is a parallelogram 2. Review: properties of quadrilaterals
Lesson 1.2: The Quad Squad
1. Proving a quadrilateral is a parallelogram 2. Review: properties of quadrilaterals

Lesson 1.3: Into the Ring		1. Construct a congruent angle 2. Construct a square inscribed in a circle 3. Construct an angle bisector Also consider: • Construct an equilateral triangle inscribed in a circle • Construct a regular hexagon inscribed in a circle • Angle bisectors
Lesson 1.3: Into the Ring
1. Construct a congruent angle 2. Construct a square inscribed in a circle 3. Construct an angle bisector Also consider: • Construct an equilateral triangle inscribed in a circle • Construct a regular hexagon inscribed in a circle • Angle bisectors

Lesson 1.4: Tri- Tri- Tri- and Separate Them		1. Identify hypotheses and conclusions 2. Conditionals, converses, and biconditionals Also consider: • Triangle Inequality Theorem • Triangle Angle-Sum Theorem • Exterior Angle Theorem
Lesson 1.4: Tri- Tri- Tri- and Separate Them
1. Identify hypotheses and conclusions 2. Conditionals, converses, and biconditionals Also consider: • Triangle Inequality Theorem • Triangle Angle-Sum Theorem • Exterior Angle Theorem

Lesson 1.5: What's the Point?		1. Construct the circumcenter or incenter of a triangle 2. Construct the centroid or orthocenter of a triangle Also consider: • Identify medians, altitudes, angle bisectors, and perpendicular bisectors • Construct the inscribed or circumscribed circle of a triangle • Find the centroid of a triangle
Lesson 1.5: What's the Point?
1. Construct the circumcenter or incenter of a triangle 2. Construct the centroid or orthocenter of a triangle Also consider: • Identify medians, altitudes, angle bisectors, and perpendicular bisectors • Construct the inscribed or circumscribed circle of a triangle • Find the centroid of a triangle
Topic 2 - Justifying Line and Angle Relationships
Lesson 2.1: Proof Positive		1. Proofs involving angles Also consider: • Properties of equality
Lesson 2.1: Proof Positive
1. Proofs involving angles Also consider: • Properties of equality

Lesson 2.2: A Parallel Universe		1. Proofs involving parallel lines I 2. Proofs involving parallel lines II Also consider: • Transversals of parallel lines: find angle measures • Transversals of parallel lines: solve for x
Lesson 2.2: A Parallel Universe
1. Proofs involving parallel lines I 2. Proofs involving parallel lines II Also consider: • Transversals of parallel lines: find angle measures • Transversals of parallel lines: solve for x

Lesson 2.3: Ins and Outs		1. Proofs involving triangles I 2. Interior angles of polygons 3. Exterior angles of polygons Also consider: • Review: interior and exterior angles of polygons
Lesson 2.3: Ins and Outs
1. Proofs involving triangles I 2. Interior angles of polygons 3. Exterior angles of polygons Also consider: • Review: interior and exterior angles of polygons

Lesson 2.4: Identical Twins		1. Proofs involving isosceles triangles 2. Special right triangles Also consider: • Perpendicular Bisector Theorem • Proving triangles congruent by SSS, SAS, ASA, and AAS • Proofs involving corresponding parts of congruent triangles
Lesson 2.4: Identical Twins
1. Proofs involving isosceles triangles 2. Special right triangles Also consider: • Perpendicular Bisector Theorem • Proving triangles congruent by SSS, SAS, ASA, and AAS • Proofs involving corresponding parts of congruent triangles

Lesson 2.5: Corners in a Round Room		1. Inscribed angles 2. Angles in inscribed right triangles 3. Tangent lines 4. Angles formed by chords, secants, and tangents Also consider: • Central angles and arc measures • Angles in inscribed quadrilaterals II • Construct a tangent line to a circle
Lesson 2.5: Corners in a Round Room
1. Inscribed angles 2. Angles in inscribed right triangles 3. Tangent lines 4. Angles formed by chords, secants, and tangents Also consider: • Central angles and arc measures • Angles in inscribed quadrilaterals II • Construct a tangent line to a circle

Checkpoint opportunity		1. Checkpoint: Line and angle theorems 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Geometric constructions
Checkpoint opportunity
1. Checkpoint: Line and angle theorems 2. Checkpoint: Inscribed and circumscribed circles 3. Checkpoint: Geometric constructions
Topic 3 - Using Congruence Theorems
Lesson 3.1: SSS, SAS, AAS... S.O.S.!		1. Hypotenuse-Leg Theorem Also consider: • Segments formed by chords, secants, and tangents
Lesson 3.1: SSS, SAS, AAS... S.O.S.!
1. Hypotenuse-Leg Theorem Also consider: • Segments formed by chords, secants, and tangents

Lesson 3.2: Props to You		1. Proofs involving triangles and quadrilaterals 2. Proofs involving quadrilaterals
Lesson 3.2: Props to You
1. Proofs involving triangles and quadrilaterals 2. Proofs involving quadrilaterals

Lesson 3.3: Three-Chord Song		1. Arcs and chords
Lesson 3.3: Three-Chord Song
1. Arcs and chords

Checkpoint opportunity		1. Checkpoint: Parallelogram theorems 2. Checkpoint: Angles and lines in circles
Checkpoint opportunity
1. Checkpoint: Parallelogram theorems 2. Checkpoint: Angles and lines in circles

3	Module 3 Investigating Proportionality
Topic 1 - Similarity
Lesson 1.1: Big Little, Big Little		1. Dilations: graph the image 2. Dilations: find the scale factor 3. Identify similar figures Also consider: • Classify dilations • Dilations: find the scale factor and center of the dilation
Lesson 1.1: Big Little, Big Little
1. Dilations: graph the image 2. Dilations: find the scale factor 3. Identify similar figures Also consider: • Classify dilations • Dilations: find the scale factor and center of the dilation

Lesson 1.2: Similar Triangles or Not?		1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles Also consider: • Similar triangles and similarity transformations • Prove similarity statements
Lesson 1.2: Similar Triangles or Not?
1. Angle-angle criterion for similar triangles 2. Similarity rules for triangles Also consider: • Similar triangles and similarity transformations • Prove similarity statements

Lesson 1.3: Keep It in Proportion		1. Triangle Proportionality Theorem 2. Midsegments of triangles 3. Proofs involving triangles II Also consider: • Dilations: find length, perimeter, and area • Dilations and parallel lines
Lesson 1.3: Keep It in Proportion
1. Triangle Proportionality Theorem 2. Midsegments of triangles 3. Proofs involving triangles II Also consider: • Dilations: find length, perimeter, and area • Dilations and parallel lines

Lesson 1.4: This Isn't Your Average Mean		1. Similarity and altitudes in right triangles 2. Prove the Pythagorean theorem Also consider: • Proofs involving similarity in right triangles
Lesson 1.4: This Isn't Your Average Mean
1. Similarity and altitudes in right triangles 2. Prove the Pythagorean theorem Also consider: • Proofs involving similarity in right triangles

Lesson 1.5: Run It Up the Flagpole		1. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures in similar figures
Lesson 1.5: Run It Up the Flagpole
1. Similar triangles and indirect measurement Also consider: • Side lengths and angle measures in similar figures

Lesson 1.6: Jack's Spare Key		1. Partition a line segment in a given ratio
Lesson 1.6: Jack's Spare Key
1. Partition a line segment in a given ratio

Checkpoint opportunity		1. Checkpoint: Transformations in the plane 2. Checkpoint: Dilations 3. Checkpoint: Similarity transformations 4. Checkpoint: Triangle theorems 5. Checkpoint: Triangle similarity and congruence 6. Checkpoint: Partition a line segment
Checkpoint opportunity
1. Checkpoint: Transformations in the plane 2. Checkpoint: Dilations 3. Checkpoint: Similarity transformations 4. Checkpoint: Triangle theorems 5. Checkpoint: Triangle similarity and congruence 6. Checkpoint: Partition a line segment
Topic 2 - Trigonometry
Lesson 2.1: Three Angle Measure		1. Trigonometric ratios in similar right triangles
Lesson 2.1: Three Angle Measure
1. Trigonometric ratios in similar right triangles

Lesson 2.2: Going on a Tangent		1. Tangent and cotangent ratios 2. Find angle measures using inverse tangent
Lesson 2.2: Going on a Tangent
1. Tangent and cotangent ratios 2. Find angle measures using inverse tangent

Lesson 2.3: Show Me a Sine Lesson 2.4: Can I Get a Cosine?		1. Trigonometric ratios: sin, cos, and tan 2. Inverses of trigonometric functions 3. Find trigonometric functions using a calculator 4. Trigonometric ratios: find an angle measure Also consider: • Find trigonometric functions of special angles • Trigonometric ratios: find a side length • Solve a right triangle
Lesson 2.3: Show Me a Sine Lesson 2.4: Can I Get a Cosine?
1. Trigonometric ratios: sin, cos, and tan 2. Inverses of trigonometric functions 3. Find trigonometric functions using a calculator 4. Trigonometric ratios: find an angle measure Also consider: • Find trigonometric functions of special angles • Trigonometric ratios: find a side length • Solve a right triangle

Lesson 2.5: Fishing for Complements		1. Sine and cosine of complementary angles
Lesson 2.5: Fishing for Complements
1. Sine and cosine of complementary angles

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

4	Module 4 Connecting Geometric and Algebraic Descriptions
Topic 1 - Circles and Volume
Lesson 1.1: All Circles Great and Small		1. Similarity of circles 2. Arc length 3. Radians and arc length Also consider: • Convert between radians and degrees
Lesson 1.1: All Circles Great and Small
1. Similarity of circles 2. Arc length 3. Radians and arc length Also consider: • Convert between radians and degrees

Lesson 1.2: A Piece of Pi		1. Understand arc length and sector area of a circle 2. Area of sectors
Lesson 1.2: A Piece of Pi
1. Understand arc length and sector area of a circle 2. Area of sectors

Lesson 1.3: Do Me a Solid		1. Solids of revolution Also consider: • Parts of three-dimensional figures • Volume of prisms and cylinders • Volume of complex prisms
Lesson 1.3: Do Me a Solid
1. Solids of revolution Also consider: • Parts of three-dimensional figures • Volume of prisms and cylinders • Volume of complex prisms

Lesson 1.4: Get to the Point		1. Surface area 2. Volume of pyramids and cones 3. Volume of spheres Also consider: • Lateral area of prisms and cylinders • Lateral area of pyramids and cones
Lesson 1.4: Get to the Point
1. Surface area 2. Volume of pyramids and cones 3. Volume of spheres Also consider: • Lateral area of prisms and cylinders • Lateral area of pyramids and cones

Checkpoint opportunity		1. Checkpoint: Prove circles are similar 2. Checkpoint: Arc length and area of sectors 3. Checkpoint: Volume
Checkpoint opportunity
1. Checkpoint: Prove circles are similar 2. Checkpoint: Arc length and area of sectors 3. Checkpoint: Volume
Topic 2 - Circles and Cross Sections
Lesson 2.1: Give Me a Slice		1. Cross sections of three-dimensional figures
Lesson 2.1: Give Me a Slice
1. Cross sections of three-dimensional figures

Lesson 2.2: X² Plus Y² Equals Radius²		1. Derive equations of circles using the Pythagorean theorem 2. Write equations of circles in standard form from graphs 3. Convert equations of circles from general to standard form 4. Find properties of circles from equations in general form Also consider: • Write equations of circles in standard form using properties • Graph circles from equations in standard form
Lesson 2.2: X² Plus Y² Equals Radius²
1. Derive equations of circles using the Pythagorean theorem 2. Write equations of circles in standard form from graphs 3. Convert equations of circles from general to standard form 4. Find properties of circles from equations in general form Also consider: • Write equations of circles in standard form using properties • Graph circles from equations in standard form

Lesson 2.3: A Blip on the Radar		1. Determine if a point lies on a circle 2. Solve a system of linear and quadratic equations: circles
Lesson 2.3: A Blip on the Radar
1. Determine if a point lies on a circle 2. Solve a system of linear and quadratic equations: circles

Checkpoint opportunity		1. Checkpoint: Cross sections and solids of revolution 2. Checkpoint: Equations of circles 3. Checkpoint: Coordinate proofs
Checkpoint opportunity
1. Checkpoint: Cross sections and solids of revolution 2. Checkpoint: Equations of circles 3. Checkpoint: Coordinate proofs

5	Module 5 Making Informed Decisions
Topic 1 - Independence and Conditional Probability
Lesson 1.1: What Are the Chances?		1. Sample spaces for compound events 2. Identify independent and dependent events 3. Counting principle Also consider: • Probability of simple events and opposite events • Outcomes of compound events • Write a discrete probability distribution
Lesson 1.1: What Are the Chances?
1. Sample spaces for compound events 2. Identify independent and dependent events 3. Counting principle Also consider: • Probability of simple events and opposite events • Outcomes of compound events • Write a discrete probability distribution

Lesson 1.2: And?		1. Probability of independent and dependent events
Lesson 1.2: And?
1. Probability of independent and dependent events

Lesson 1.3: Or?		1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using the addition rule Also consider: • Theoretical and experimental probability
Lesson 1.3: Or?
1. Probability of mutually exclusive events and overlapping events 2. Find probabilities using the addition rule Also consider: • Theoretical and experimental probability

Lesson 1.4: And, Or, and More!		1. Probability: mixed review
Lesson 1.4: And, Or, and More!
1. Probability: mixed review
Topic 2 - Computing Probabilities
Lesson 2.1: Table Talk		1. Identify independent events 2. Interpret two-way frequency tables
Lesson 2.1: Table Talk
1. Identify independent events 2. Interpret two-way frequency tables

Lesson 2.2: It All Depends		1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities 3. Independence and conditional probability
Lesson 2.2: It All Depends
1. Find conditional probabilities using two-way frequency tables 2. Find conditional probabilities 3. Independence and conditional probability

Lesson 2.3: Give Me 5!		1. Factorials 2. Permutations 3. Permutation and combination notation 4. Find probabilities using combinations and permutations
Lesson 2.3: Give Me 5!
1. Factorials 2. Permutations 3. Permutation and combination notation 4. Find probabilities using combinations and permutations

Lesson 2.4: A Different Kind of Court Trial		1. Find probabilities using the binomial distribution
Lesson 2.4: A Different Kind of Court Trial
1. Find probabilities using the binomial distribution

Lesson 2.5: What Do You Expect?		1. Geometric probability 2. Expected value
Lesson 2.5: What Do You Expect?
1. Geometric probability 2. Expected value

Checkpoint opportunity		1. Checkpoint: Probabilities of compound events 2. Checkpoint: Understand independence and conditional probability
Checkpoint opportunity
1. Checkpoint: Probabilities of compound events 2. Checkpoint: Understand independence and conditional probability

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