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Math 97: Introduction to Mathematical Reasoning

  • Course type: Self-paced
  • Available Lessons: 123
  • Average Lesson Length: 8 min
  • Eligible for Credit: Yes

    Earn transferable credit by taking this course for credit.

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    What is Logic? - Definition & Examples

  • Math 97: Introduction to Mathematical Reasoning Practice Test
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Course Summary

Math 97: Introduction to Mathematical Reasoning has been evaluated and recommended for up to 4 semester hours and may be transferred to over 2,000 colleges and universities. This course allows for a self-paced study option, with short, engaging lessons that you can use to take the first step toward earning your degree.
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22 chapters in Math 97: Introduction to Mathematical Reasoning

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
  • Comprehensive test covering all topics
  • Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 22)}}
Ch 1. Introduction to Logic in Math {{cp.topicAssetIdToProgress[294527].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Logic? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[3704].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3704].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[3704].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3704].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Critical Thinking and Logic in Mathematics Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Logical Math Connectors: Conjunctions and Disjunctions Score: {{cp.lessonAssetIdToProgress[2374].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2374].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2374].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2374].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Quantifiers in Mathematical Logic: Types, Notation & Examples Score: {{cp.lessonAssetIdToProgress[264527].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[264527].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[264527].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[264527].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Conditional Statements in Math Score: {{cp.lessonAssetIdToProgress[2375].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2375].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2375].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2375].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Propositions, Truth Values and Truth Tables Score: {{cp.lessonAssetIdToProgress[2373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2373].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2373].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Using Logic & Strategy to Solve Puzzles Score: {{cp.lessonAssetIdToProgress[291679].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[291679].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[291679].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[291679].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(1, 22)}}
Ch 2. Mathematic Inductions {{cp.topicAssetIdToProgress[294529].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Mathematical Induction: Uses & Proofs Score: {{cp.lessonAssetIdToProgress[18821].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18821].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[18821].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18821].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Proving Divisibility: Mathematical Induction & Examples Score: {{cp.lessonAssetIdToProgress[246067].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[246067].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[246067].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[246067].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Using Converse Statements to Prove Lines Are Parallel Score: {{cp.lessonAssetIdToProgress[13678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13678].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13678].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Proving the Third Angle Theorem Score: {{cp.lessonAssetIdToProgress[57277].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57277].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[57277].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57277].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Proving the Addition & Subtraction Formulas for Sine, Cosine & Tangent Score: {{cp.lessonAssetIdToProgress[26435].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[26435].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[26435].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[26435].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 22)}}
Ch 3. Types of Proofs in Math {{cp.topicAssetIdToProgress[294531].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Proof by Contradiction: Definition & Examples Score: {{cp.lessonAssetIdToProgress[28085].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28085].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[28085].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28085].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Direct Proofs: Definition and Applications Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Uniqueness Proofs in Math: Definition, Method & Examples Score: {{cp.lessonAssetIdToProgress[294533].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294533].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294533].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294533].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Existence Proofs in Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[294535].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294535].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294535].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294535].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Algebraic Proofs: Format & Examples Score: {{cp.lessonAssetIdToProgress[57273].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57273].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[57273].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57273].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(3, 22)}}
Ch 4. Numerical Problem Solving Skills {{cp.topicAssetIdToProgress[268689].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Types of Problems & Problem Solving Strategies Score: {{cp.lessonAssetIdToProgress[1822].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[1822].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[1822].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[1822].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Mathematical Principles for Problem Solving Score: {{cp.lessonAssetIdToProgress[25025].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25025].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[25025].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25025].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - The Three-Way Principle of Mathematics Score: {{cp.lessonAssetIdToProgress[25026].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25026].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[25026].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25026].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Identifying & Organizing Relevant Information in Math Score: {{cp.lessonAssetIdToProgress[56095].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[56095].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[56095].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[56095].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Polya's Four-Step Problem-Solving Process Score: {{cp.lessonAssetIdToProgress[25024].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25024].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[25024].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[25024].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 22)}}
Ch 5. Principles of Mathematical Sets {{cp.topicAssetIdToProgress[264501].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Mathematical Sets: Elements, Intersections & Unions Score: {{cp.lessonAssetIdToProgress[2378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2378].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2378].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty) Score: {{cp.lessonAssetIdToProgress[2379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2379].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2379].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Subsets in Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[9157].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9157].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9157].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9157].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Complement of a Set in Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[9137].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9137].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9137].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9137].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union Score: {{cp.lessonAssetIdToProgress[2381].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2381].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2381].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2381].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 22)}}
Ch 7. Number Theory Overview {{cp.topicAssetIdToProgress[294537].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Place Value? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[60661].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60661].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[60661].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60661].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Identifying Prime & Composite Numbers Score: {{cp.lessonAssetIdToProgress[32987].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32987].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32987].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32987].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - What Are Twin Prime Numbers? Score: {{cp.lessonAssetIdToProgress[225019].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[225019].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[225019].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[225019].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Perfect Numbers: Definition, Formula & Examples Score: {{cp.lessonAssetIdToProgress[21709].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21709].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[21709].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21709].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - The Fundamental Theorem of Arithmetic Score: {{cp.lessonAssetIdToProgress[167553].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[167553].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[167553].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[167553].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Remainder in Math: Definition & Example Score: {{cp.lessonAssetIdToProgress[20319].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20319].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20319].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20319].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Modular Arithmetic: Rules & Properties Score: {{cp.lessonAssetIdToProgress[60628].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60628].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[60628].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60628].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Step Function: Definition, Equation & Examples Score: {{cp.lessonAssetIdToProgress[20262].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20262].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20262].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20262].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Find the Least Common Multiple Score: {{cp.lessonAssetIdToProgress[3742].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3742].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[3742].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3742].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Greatest Common Divisor: Definition & Formula Score: {{cp.lessonAssetIdToProgress[21750].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21750].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[21750].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21750].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - How to Use Series and Summation Notation: Process and Examples Score: {{cp.lessonAssetIdToProgress[18810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18810].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[18810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18810].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(7, 22)}}
Ch 8. Rational & Irrational Numbers Overview {{cp.topicAssetIdToProgress[294543].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What are Rational Numbers? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[3241].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3241].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[3241].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3241].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What are Irrational Numbers? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[3242].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3242].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[3242].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3242].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Algebraic Numbers and Transcendental Numbers Score: {{cp.lessonAssetIdToProgress[20379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20379].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20379].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Comparing & Ordering Rational Numbers Score: {{cp.lessonAssetIdToProgress[46716].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46716].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46716].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46716].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Adding & Subtracting Rational Numbers Score: {{cp.lessonAssetIdToProgress[46717].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46717].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46717].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46717].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Decimal Expansion of Rational Numbers Score: {{cp.lessonAssetIdToProgress[59453].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[59453].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[59453].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[59453].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(8, 22)}}
Ch 9. Order Relations & Functions {{cp.topicAssetIdToProgress[294545].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Equivalence Relation: Definition & Examples Score: {{cp.lessonAssetIdToProgress[28033].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28033].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[28033].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28033].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Binary Relations: Definition & Examples Score: {{cp.lessonAssetIdToProgress[294547].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294547].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294547].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294547].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Partial and Total Order Relations in Math Score: {{cp.lessonAssetIdToProgress[294549].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294549].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294549].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294549].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - The Difference Between Relations & Functions Score: {{cp.lessonAssetIdToProgress[68864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[68864].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[68864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[68864].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Injections, Surjections & Bijections Score: {{cp.lessonAssetIdToProgress[294551].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294551].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294551].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294551].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(9, 22)}}
Ch 10. Mathematical Combinations {{cp.topicAssetIdToProgress[294553].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Use the Fundamental Counting Principle Score: {{cp.lessonAssetIdToProgress[22088].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[22088].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[22088].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[22088].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Combinatorics & the Pigeonhole Principle Score: {{cp.lessonAssetIdToProgress[39202].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39202].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[39202].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39202].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Math Combinations: Formula and Example Problems Score: {{cp.lessonAssetIdToProgress[2395].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2395].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2395].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2395].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Calculate a Permutation Score: {{cp.lessonAssetIdToProgress[2397].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2397].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2397].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2397].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(10, 22)}}
Ch 11. Informal Geometry & Measurement {{cp.topicAssetIdToProgress[294555].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Points, Lines & Angles in Geometry Score: {{cp.lessonAssetIdToProgress[20052].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20052].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20052].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20052].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Line Segments & Rays: Definition & Measurement Score: {{cp.lessonAssetIdToProgress[14011].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14011].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14011].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14011].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - What is a Plane in Geometry? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[60655].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60655].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[60655].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60655].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Measure Angles with a Protractor Score: {{cp.lessonAssetIdToProgress[43749].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[43749].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[43749].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[43749].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Measuring the Angles of Triangles: 180 Degrees Score: {{cp.lessonAssetIdToProgress[13681].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13681].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13681].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13681].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(12, 22)}}
Ch 13. Parallel Lines in Geometry {{cp.topicAssetIdToProgress[294559].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Parallel, Perpendicular and Transverse Lines Score: {{cp.lessonAssetIdToProgress[2406].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2406].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2406].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2406].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Identifying Parallel Lines in Geometric Shapes Score: {{cp.lessonAssetIdToProgress[46825].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46825].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46825].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46825].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Parallel Lines: How to Prove Lines Are Parallel Score: {{cp.lessonAssetIdToProgress[13677].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13677].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13677].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13677].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - The Parallel Postulate: Definition & Examples Score: {{cp.lessonAssetIdToProgress[13675].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13675].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13675].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13675].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(13, 22)}}
Ch 14. Geometric Postulates & Proofs {{cp.topicAssetIdToProgress[294561].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Geometric Proofs: Definition and Format Score: {{cp.lessonAssetIdToProgress[14897].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14897].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14897].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14897].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Algebraic Laws and Geometric Postulates Score: {{cp.lessonAssetIdToProgress[14517].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14517].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14517].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14517].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Properties and Postulates of Geometric Figures Score: {{cp.lessonAssetIdToProgress[14516].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14516].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14516].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14516].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Properties of Right Triangles: Theorems & Proofs Score: {{cp.lessonAssetIdToProgress[14101].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14101].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14101].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14101].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(14, 22)}}
Ch 15. Triangle Types & Theorems {{cp.topicAssetIdToProgress[294563].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Triangles: Definition and Properties Score: {{cp.lessonAssetIdToProgress[14338].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14338].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14338].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14338].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Triangle Congruence Postulates: SAS, ASA & SSS Score: {{cp.lessonAssetIdToProgress[14433].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14433].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14433].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14433].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Congruence Proofs: Corresponding Parts of Congruent Triangles Score: {{cp.lessonAssetIdToProgress[14434].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14434].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14434].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14434].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What is an Isosceles Triangle? - Definition, Properties & Theorem Score: {{cp.lessonAssetIdToProgress[15008].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15008].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[15008].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15008].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Congruency of Isosceles Triangles: Proving the Theorem Score: {{cp.lessonAssetIdToProgress[14442].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14442].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14442].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14442].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Inequality Theorems for Two Triangles Score: {{cp.lessonAssetIdToProgress[57280].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57280].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[57280].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57280].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(15, 22)}}
Ch 16. Proportions & Similar Triangles {{cp.topicAssetIdToProgress[294565].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Ratios and Proportions: Definition and Examples Score: {{cp.lessonAssetIdToProgress[14095].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14095].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14095].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14095].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - The Transitive Property of Similar Triangles Score: {{cp.lessonAssetIdToProgress[14098].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14098].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14098].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14098].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Triangle Proportionality Theorem Score: {{cp.lessonAssetIdToProgress[14099].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14099].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14099].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14099].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - The Pythagorean Theorem: Practice and Application Score: {{cp.lessonAssetIdToProgress[2403].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2403].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2403].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2403].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Similar Triangles & the AA Criterion Score: {{cp.lessonAssetIdToProgress[46284].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46284].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46284].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46284].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(16, 22)}}
Ch 17. Types of Quadrilaterals {{cp.topicAssetIdToProgress[294567].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Parallelograms: Definition, Properties, and Proof Theorems Score: {{cp.lessonAssetIdToProgress[13444].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13444].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13444].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13444].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What Is a Rhombus? - Definition and Properties Score: {{cp.lessonAssetIdToProgress[13446].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13446].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13446].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13446].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Kites in Geometry: Definition and Properties Score: {{cp.lessonAssetIdToProgress[13448].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13448].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13448].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13448].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Squares: Definition and Properties Score: {{cp.lessonAssetIdToProgress[13451].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13451].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13451].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13451].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Trapezoids: Definition and Properties Score: {{cp.lessonAssetIdToProgress[13452].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13452].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13452].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13452].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Rectangles: Definition, Properties & Construction Score: {{cp.lessonAssetIdToProgress[13449].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13449].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13449].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13449].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(17, 22)}}
Ch 18. Introduction to Circles {{cp.topicAssetIdToProgress[294569].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Circular Arcs and Circles: Definitions and Examples Score: {{cp.lessonAssetIdToProgress[13860].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13860].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13860].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13860].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Central and Inscribed Angles: Definitions and Examples Score: {{cp.lessonAssetIdToProgress[13861].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13861].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13861].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13861].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Tangent of a Circle: Definition & Theorems Score: {{cp.lessonAssetIdToProgress[13864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13864].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13864].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Parts of a Circle Score: {{cp.lessonAssetIdToProgress[46810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46810].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46810].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Find the Measure of an Inscribed Angle Score: {{cp.lessonAssetIdToProgress[13863].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13863].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13863].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13863].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Arc Length of a Sector: Definition and Area Score: {{cp.lessonAssetIdToProgress[13868].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13868].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13868].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13868].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Segment of a Circle: Definition & Formula Score: {{cp.lessonAssetIdToProgress[20221].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20221].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20221].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20221].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(18, 22)}}
Ch 19. Area of Polygons & Circles {{cp.topicAssetIdToProgress[294571].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Area of Triangles and Rectangles Score: {{cp.lessonAssetIdToProgress[2402].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2402].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2402].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2402].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Circles: Area and Circumference Score: {{cp.lessonAssetIdToProgress[8563].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8563].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[8563].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8563].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Measuring the Area of Regular Polygons: Formula & Examples Score: {{cp.lessonAssetIdToProgress[13680].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13680].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13680].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13680].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Chord of a Circle: Definition & Formula Score: {{cp.lessonAssetIdToProgress[20284].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20284].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20284].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20284].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(19, 22)}}
Ch 20. Surfaces & Solids {{cp.topicAssetIdToProgress[294573].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Prisms: Definition, Area & Volume Score: {{cp.lessonAssetIdToProgress[13833].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13833].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13833].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13833].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What Are Cylinders? - Definition, Area & Volume Score: {{cp.lessonAssetIdToProgress[13835].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13835].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13835].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13835].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Cones: Definition, Area & Volume Score: {{cp.lessonAssetIdToProgress[13836].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13836].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13836].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13836].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Pyramids: Definition, Area & Volume Score: {{cp.lessonAssetIdToProgress[13834].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13834].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13834].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13834].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Polyhedron? - Characteristics & Examples Score: {{cp.lessonAssetIdToProgress[46816].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46816].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46816].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46816].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Counting Faces, Edges & Vertices of Polyhedrons Score: {{cp.lessonAssetIdToProgress[46818].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46818].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[46818].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46818].bestScoreQuestions}}  Take Quiz Optional
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