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NYMC HSA+
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WEEK 1
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WEEK 2
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In-Class Topics:
Review Resources:
📚 Introduction to Number Theory (NML 20)
📚 Modular Arithmetic Problems (SLU) 🔑 Optional Assessments:
🌐 Fermat's Little Theorem Problems 📐 2017 AMC 10B (print, score, log, write up) |
Mandatory Assessments: (due by Mar 10)
📅 MATHCOUNTS Trainer (Level Up to State) 🌿 Modulo Operator 🌿 Congruence Relation 🌿 Modular Addition 🌿 Modular Multiplication 🌿 Modulo Challenge 🌿 Modulo Challenge (Addition & Subtraction) 🚀 Alcumus Number Theory:
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WEEK 4
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In-Class Topics:
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Mandatory Assessments: (due by Apr 21)
📅 MATHCOUNTS Trainer (Level Up to National) 🌿 Counting Principle, Permutations, Combinations 🌿 Permutations & Combinations 🌿 Probability with Permutations & Combinations 🌐 Permutations Warmup 🌐 Permutations without Repetition 🌐 Permutations with Repetition 🌐 Permutations with Restriction 🌐 Permutations Problem Solving 🌐 Permutations Challenges: Level 1 2 🌐 Choosing Subsets Warmup 🌐 Combinations without Repetition 🌐 Combinations with Repetition 🌐 Combinations with Restriction 🌐 Combinations Problem Solving 🌐 Combinations Challenges: Level 2 |
WEEK 5
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🚀 MANDATORY ALCUMUS REVIEW 🚀
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Counting🚀 Alcumus Counting & Probability:
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Divisibility🚀 Alcumus Number Theory:
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WEEK 6
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In-Class Topics:
Review Resources:
📚 Binomial Theorem (MDB) 📚 Binomial Theorem & Probability (BTHS) 📚 Binomial Theorem & Combinatorial Proofs (NPS) Optional Assessments:
🌐 Binomial Theorem Challenges: Level 4 |
Mandatory Assessments: (due by Apr 28)
🌿 Expand Binomials 🌿 Binomial Probability Formula 🌿 Calculating Binomial Probability 🌐 Definition of Binomial Coefficient 🌐 Binomial Expansion - Basic 🌐 Properties of Binomial Coefficients 🌐 Binomial Theorem - N Choose K 🌐 Binomial Theorem Challenges: Level 3 🚀 Alcumus Counting & Probability:
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WEEK 7
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In-Class Topics:
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Mandatory Assessments: (due by May 5)
📅 MATHCOUNTS Trainer (+1 Level in National) 🌿 Recursive formulas for arithmetic sequences 🌿 Explicit formulas for arithmetic sequences 🌿 Converting between forms of arithmetic sequences 🌿 Recursive formulas for geometric sequences 🌿 Explicit formulas for geometric sequences 🌿 Converting between forms of geometric sequences 🌿 Sequences word problems 🌐 Finding Specific Terms 🌐 Finding the General Term 🌿 Sequences review 🌿 Sequence convergence/divergence 🌿 Summation notation intro 🌿 Arithmetic series 🌿 Finite geometric series 🌿 Partial sums intro 🌿 Partial sums & series 🌿 Infinite geometric series 🌿 Series basics challenge 🚀 Alcumus Algebra:
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WEEK 8
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In-Class Topics:
Review Resources:
📚 Floor Problems (SLU) 🔑 📚 Floor (TI-83) |
Mandatory Assessments: (due by May 12)
📅 MATHCOUNTS Trainer (+1 Level in National) 🌐 Floor Function 🌐 Ceiling Function 🌐 Trailing Number of Zeroes 🌐 Fractional Part Function 🌐 Floor and Ceiling Functions - Problem Solving 🌐 Floor and Ceiling Challenges: Level 1 2 3 🚀 Alcumus Algebra:
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WEEK 10
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In-Class Topics:
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SPRING 2018
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