Pre-Algebra Honors
Course📍 Co-op City

Pre-Algebra Honors

📆
📍Logicus Larchmont · 1875 Palmer Ave Get directions ↗
🏷From $4320

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Pre-Algebra Honors prepares students for the rigors of algebra and also explores problem-solving techniques to prepare them for middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. Topics covered in this course include the properties of arithmetic, exponents, number theory, equations and inequalities, decimals, ratios, scale and proportions, unit conversions and rates, percent problems, equation of a line, absolute value equations and inequalities, square roots, introduction to geometry (angles, angles in a triangle, parallel lines, polygons, area of polygons, and Pythagorean Theorem), statistics, counting and probability, and more!

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Logicus Math Grade 2 HonorsFrom $3200

Logicus Math Grade 2 Honors

Logicus Park Slope · Gowanus

In second grade Honors at Logicus, students will delve deeper into our Conceptual Analytical Mathematics (CAM) program, drawing upon the strengths of both the Singaporean and Russian mathematical teaching methods. This curriculum will cover the following: Introduction to Algebraic Equations : Students will be introduced to the concept of balance and equality, forming the foundation for equation solving and algebra. They will start by interpreting and creating number sentences using the equal sign correctly. For instance, understanding that in a correct equation, the amount on one side of the equal sign must be the same as the amount on the other side. Process Skills in Problem Solving : Students will develop competency in thinking skills and problem solving heuristics through meaningful and challenging activities such as Make a Systematic List, Inverse Operation Concept, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram, Make a Supposition. Expanded Addition and Subtraction : We'll cover adding and subtracting numbers using visualization and mental arithmetic techniques inspired by Singapore Math and Russian Math's focus on a deep comprehension of mathematical operations such as Model Diagram, More/Less Than Concept, Before/After Concept, Difference Concept, Internal Transfer Concept. Multiplication and Division : Part-Whole Model, Model Diagram, Repeated Addition Concepts, Equal Grouping Concept, Equal Sharing Concept. Further Geometry Exploration : The curriculum explores more complex geometric shapes, reflecting Russian Math's focus on geometric intuition and proof-based reasoning. Measurement and Data : Students will learn to measure lengths in standard units and grasp time concepts, reinforcing practical math skills. The Algebraic Thinking component in Logicus Math Grade 2 seeks to introduce students to the basic principles of algebra, laying the groundwork for more advanced studies in later grades. Understanding Patterns : Students will explore number and shape patterns, learning to predict and explain what comes next. They will gain an understanding of simple sequences and rules, leading to the concept of mathematical relationships. Basic Operations in Equations: Students will apply their understanding of addition and subtraction to solve simple equations. They'll begin to understand the relationship between addition and subtraction, as well as the idea of an "unknown" in an equation. Problem Solving with Equations : Students will practice translating real-world problems into simple equations, learning to use mathematics as a tool for problem-solving. They'll gain experience in formulating equations to represent problems and then solving them. This section of the course sets the foundation for algebraic thinking, preparing students for more complex mathematical reasoning and problem-solving. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please reach out to us at info@logicus.school or 917-295-2001.

Ages 7–8Course
Algebra I Honors/ SHSAT PrepFrom $3859

Algebra I Honors/ SHSAT Prep

Logicus Park Slope · Gowanus

Logicus Algebra I Honors builds upon the foundation of Pre-Algebra Honors to provide a deeper exploration of algebraic concepts and techniques, such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more! The Geometry topics covered are isosceles and equilateral triangles, right triangles, Pythagorean Theorem, circles, and quadrilaterals. This course also includes advanced topics such as those problem-solving strategies required for success in the AMC and AIME competitions. A brief treatment of college-level Linear Algebra. SHSAT Math Full-Year Preparation (Rising 7th Graders) This year-long course is designed to give rising 7th graders a strong head start in preparing for the math portion of the SHSAT (Specialized High School Admissions Test). The program builds a deep foundation in essential math topics while developing the critical thinking and problem-solving skills needed to succeed on this high-stakes exam. Through weekly, engaging instruction and progressive challenge, students will gain confidence with both the content and format of the SHSAT over time, allowing for thoughtful learning without the pressure of last-minute cramming. Core Topics Covered: 1. SHSAT Introduction & Strategy : Understanding the exam structure, scoring, question types, and time-management strategies. 2. Proportional Reasoning : Mastery of direct, inverse, and joint variation; solving multi-step word problems and interpreting graphs. 3. Number Theory : Prime factorization using factor trees, efficient methods for GCF and LCM, and a review of divisibility rules. 4. Advanced Arithmetic : Operations with exponents (including zero and negative powers), rules of signs, and multiplying/factoring monic quadratics using FOIL. 5. Combinatorics & Permutations : Distinguishing between arrangements and selections, with applications using Pascal’s Triangle and real-life scenarios. 6. Geometry Fundamentals : Area, perimeter, and volume; triangle properties including Pythagorean triples and special right triangles (30-60-90 and 45-45-90); and angle relationships formed by transversals and parallel lines.

Course
Logicus Math Grade 3 HonorsFrom $3200

Logicus Math Grade 3 Honors

Logicus Park Slope · Gowanus

Logicus Math Grade 3 Honors, formulated with a blend of Russian and Singaporean pedagogical methodologies, provides an enriched and challenging platform for budding mathematicians displaying advanced aptitude. The course amplifies students' understanding of mathematical concepts, sharpens their logical reasoning, expands their problem-solving skills, and fosters abstract thinking using the Concrete, Pictorial, and Abstract (CPA) approach. This curriculum will unfold as follows: Advanced Algebraic Equations : Building on their introduction to algebra in the second grade, students will now progress to more complex equations, diving into the core aspects of algebra. They will begin to manipulate variables, coefficients, and constants, deepening their understanding of balance and equality. An emphasis will be placed on the principle that altering one side of an equation necessitates a corresponding change on the other to maintain equilibrium. Enhanced Problem-Solving Skills : Our students will refine their proficiency in thinking skills and problem-solving heuristics through multifaceted and demanding activities. This will include concepts such as Make an Organized List, Work Backwards, Logical Reasoning, and Break it Down - strategies that foster not just mathematical comprehension but also critical thinking. Advanced Addition and Subtraction : Building on the second-grade foundation, students will delve into more intricate addition and subtraction problems, incorporating both visualization and mental arithmetic techniques. A strong emphasis will be placed on understanding multiple strategies for solving problems and selecting the most efficient method. Multiplication and Division : Going beyond basic concepts, students will explore Multiplication as Comparison, Division as Comparison, Array Model, and the Distributive Property of Multiplication. They'll gain deeper insights into these operations, setting the foundation for future exploration of fractions and ratios. Geometry : Third-grade students will delve deeper into the world of geometric figures, honing their ability to visualize, identify, and construct shapes. There will be an emphasis on spatial relationships and transformations, echoing Russian Math's focus on geometric intuition and proof-based reasoning. Further Exploration of Patterns : Students will unravel more complex number and shape patterns, exploring their application to algebraic operations, further solidifying their understanding of mathematical relationships and how they can be represented algebraically. Equations and Real-World Application : Building on their basic operations in equations, students will now work with equations involving multiplication and division. They'll become proficient in formulating and solving equations from real-world problems, learning to apply mathematics as a tool for creative problem-solving. This advanced program includes a 90-minute class each week throughout the academic year. For any inquiries, please reach out to us at info@logicus.school or 914-243-1431.

Ages 8–9Course
Logicus Math Grade 4 HonorsFrom $3934

Logicus Math Grade 4 Honors

Logicus Larchmont · Co-op City

This course is designed for high-performing students. Topics covered include: Process Skills in Problem Solving: Students will develop competency in thinking skills and problem solving heuristics through meaningful and challenging activities such as: Make a Systematic List, Inverse Operation Concept, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram, Make a Supposition. Multiplication : The distributive property, multi-digit multiplication, using algorithms, the units digit. Exponents : Computing powers, order of operations, perfect squares, binary notation (base-2). Counting : Counting lists, choices, Venn diagrams, Factorials, and counting pairs. Division : Special quotients, dividing multiples of powers of 10, long division, divisibility. Logic : Logic puzzles, grid puzzles, liars, and truth-tellers. Factors : Primes, divisibility, prime factorization, factor trees. Fractions : Adding, subtracting, and converting fractions and mixed numbers; multiplying fractions and mixed numbers and dividing by unit fractions. Integers : Understanding negatives. Adding and subtracting positive and negative integers. Decimals : Place value, converting between fractions and decimals, comparing and ordering decimals. Probability : Counting strategies review, coins, dice, random events, and geometric probability. Data Analysis : Students will construct, interpret, and draw conclusions from various types of graphs. Geometry and Measurement : Students will engage with more advanced geometric concepts, including angle measurement, parallel and perpendicular lines, symmetry, and calculation of area and perimeter. The geometric intuition and proof-based approach of Russian Math are combined with Singapore Math's visual and hands-on learning techniques. Algebraic Thinking: Patterns, relationships, simple equations, and introduction to expressions. The Algebraic Thinking section of Logicus Math Grade 4 Honors advances students' understanding of algebraic concepts, helping them explore more intricate number patterns and relationships, comprehend the use of variables in more complex scenarios, and solve multi-step equations. This course cultivates an enhanced understanding of mathematical principles, critical thinking, and problem-solving skills and nurtures a sustained passion for mathematics. Subtopics: Advanced Patterns and Relationships: Students will study more complex numerical and geometric patterns, developing their ability to express patterns and relationships using algebraic expressions and equations. Working with Variables: Students will gain proficiency in using variables to represent unknown quantities in more complex mathematical expressions and equations. They'll understand how variables can represent one or many numbers and how they are used to solve problems. Solving Multi-step Equations: Building on their equation-solving skills, students will learn to solve multi-step equations that involve multiple operations. They'll learn strategies such as balancing equations, using inverse operations, and performing operations in the correct order. Real-world Applications: Students will continue to apply their algebraic thinking to real-world problems. They'll translate complex situations into algebraic equations, using variables and equations to solve these problems. The CAM program at Logicus continues to foster problem-solving and critical thinking skills, ensuring a well-rounded mathematical education. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 914-243-1431. Thank you for considering Logicus!

Ages 9–10Course

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