Park Slope Classes

Our Pre-Kindergarten math course seeks to blend elements from Russian and Singaporean educational methodologies. Leveraging the thoroughness and breadth of the Russian approach, we emphasize logical reasoning and problem-solving skills, encouraging students to approach math with a critical and creative mindset. Incorporating the Singaporean methodology, we aim to make math intuitive and engaging. The Concrete-Pictorial-Abstract (CPA) approach is integrated throughout the curriculum, enabling students to grasp mathematical concepts in a progressive and effective manner. Key Features: 1. Early exposure to essential math concepts, delivered through a blend of Russian and Singaporean methodologies. 2. Encouragement of logical thinking, problem-solving, and creativity in mathematical contexts. 3. Emphasis on the CPA approach, supporting students in understanding concepts through concrete, pictorial, and abstract stages. 3. A comprehensive approach to math learning, advancing cognitive and socio-emotional development. Specific Topics Covered: 1. Number Sense: Mastering the understanding of numbers, comparison, ordering, and introduction to basic operations (addition and subtraction). 2. Geometry and Spatial Sense: Recognizing and naming shapes, identifying patterns, and comprehending position and direction. 3. Measurement: Comparing and ordering objects by size and weight, understanding the concept of time (days, weeks, months), and introduction to money. 3. Data Handling: Gathering, sorting, and classifying objects and introduction to charts and graphs. 4. Algebraic Thinking: Grasping patterns, equalities, and inequalities, and introduction to the concepts of 'same' and 'different'. The program consists of a 60-minute class each week for the academic year. Reach out to us at info@logicus.school or 718-247-4133 for any questions.

Our Logicus Kindergarten course blends elements from both Russian and Singaporean educational methodologies. Leveraging the thoroughness and breadth of the Russian approach, we emphasize logical reasoning and problem-solving skills, encouraging students to approach math with a critical and creative mindset. Incorporating the Singaporean methodology, we aim to make math intuitive and engaging. The Concrete-Pictorial-Abstract (CPA) approach is integrated throughout the curriculum, enabling students to grasp mathematical concepts in a progressive and effective manner. Key Features: 1. Early exposure to essential math concepts, delivered through a blend of Russian and Singaporean methodologies. 2. Encouragement of logical thinking, problem-solving, and creativity in mathematical contexts. 3. Emphasis on the CPA approach, supporting students in understanding concepts through concrete, pictorial, and abstract stages. 3. A comprehensive approach to math learning, advancing cognitive and socio-emotional development. Specific Topics Covered: 1. Number Sense: Mastering the understanding of numbers, comparison, ordering, and introduction to basic operations (addition and subtraction). 2. Geometry and Spatial Sense: Recognizing and naming shapes, identifying patterns, and comprehending position and direction. 3. Measurement: Comparing and ordering objects by size and weight, understanding the concept of time (days, weeks, months), and introduction to money. 3. Data Handling: Gathering, sorting, and classifying objects, and introduction to charts and graphs. 4. Algebraic Thinking: Grasping patterns, equalities, and inequalities, and introduction to the concepts of 'same' and 'different'. The program consists of a 75-minute class each week for the academic year. Reach out to us at info@logicus.school or 1-917-295-2001 for any questions.

Our Logicus Kindergarten course blends elements from both Russian and Singaporean educational methodologies. Leveraging the thoroughness and breadth of the Russian approach, we emphasize logical reasoning and problem-solving skills, encouraging students to approach math with a critical and creative mindset. Incorporating the Singaporean methodology, we aim to make math intuitive and engaging. The Concrete-Pictorial-Abstract (CPA) approach is integrated throughout the curriculum, enabling students to grasp mathematical concepts in a progressive and effective manner. Key Features: 1. Early exposure to essential math concepts, delivered through a blend of Russian and Singaporean methodologies. 2. Encouragement of logical thinking, problem-solving, and creativity in mathematical contexts. 3. Emphasis on the CPA approach, supporting students in understanding concepts through concrete, pictorial, and abstract stages. 3. A comprehensive approach to math learning, advancing cognitive and socio-emotional development. Specific Topics Covered: 1. Number Sense: Mastering the understanding of numbers, comparison, ordering, and introduction to basic operations (addition and subtraction). 2. Geometry and Spatial Sense: Recognizing and naming shapes, identifying patterns, and comprehending position and direction. 3. Measurement: Comparing and ordering objects by size and weight, understanding the concept of time (days, weeks, months), and introduction to money. 3. Data Handling: Gathering, sorting, and classifying objects, and introduction to charts and graphs. 4. Algebraic Thinking: Grasping patterns, equalities, and inequalities, and introduction to the concepts of 'same' and 'different'. The program consists of a 75-minute class each week for the academic year. Reach out to us at info@logicus.school or 718-247-4133 for any questions.

At Logicus, our first-grade Conceptual Analytical Mathematics (CAM) curriculum exposes students to foundational mathematical concepts inspired by the best practices of Singapore and Russian Math curriculums: Specific Topics Covered: 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, Visualization, Before-After Concept, Guess and Check, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram. 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 Part-Whole Model Diagram, More/Less Than Concept, Before/After Concept, Difference Concept, Internal Transfer Concept. Number Sense and Place Value: A deeper understanding of numbers, including place value up to hundreds, and advanced operations (addition and subtraction within 100, introduction to multiplication and division). Geometry and Spatial Sense: More complex shape recognition and naming, understanding symmetry, and introducing the concept of area and perimeter. Measurement: Reading clocks, calendars, understanding units of length, weight, and volume, and introduction to temperature. Data Handling: Representing data in bar graphs, pictographs, and basic analysis of collected data. Algebraic Thinking: Understanding more complex patterns, solving simple equations, and introduction to variables. Through CAM, we ensure students build a solid mathematical foundation while nurturing their problem-solving and critical-thinking skills. The program consists of a 75-minute class each week for the academic year. Reach out to us at info@logicus.school or 1-914-243-1431 for any questions. Thanks for choosing Logicus!

At Logicus, our first-grade Conceptual Analytical Mathematics (CAM) curriculum exposes students to foundational mathematical concepts inspired by the best practices of Singapore and Russian Math curriculums: Specific Topics Covered: 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, Visualization, Before-After Concept, Guess and Check, Replacement Concept, Look For A Pattern (Numbers and Shapes), Draw a Diagram. 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 Part-Whole Model Diagram, More/Less Than Concept, Before/After Concept, Difference Concept, Internal Transfer Concept. Number Sense and Place Value: A deeper understanding of numbers, including place value up to hundreds, and advanced operations (addition and subtraction within 100, introduction to multiplication and division). Geometry and Spatial Sense: More complex shape recognition and naming, understanding symmetry, and introducing the concept of area and perimeter. Measurement: Reading clocks, calendars, understanding units of length, weight, and volume, and introduction to temperature. Data Handling: Representing data in bar graphs, pictographs, and basic analysis of collected data. Algebraic Thinking: Understanding more complex patterns, solving simple equations, and introduction to variables. Through CAM, we ensure students build a solid mathematical foundation while nurturing their problem-solving and critical-thinking skills. The program consists of a 75-minute class each week for the academic year. Reach out to us at info@logicus.school or 1-914-243-1431 for any questions. Thanks for choosing Logicus!

In second grade, 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 718-247-4133.

In second grade, 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 718-247-4133

In second grade, 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 718-247-4133

In third grade at Logicus, our Conceptual Analytical Mathematics (CAM) program introduces more advanced mathematical concepts with an emphasis on an intuitive introduction to algebra. The curriculum will include the following: Algebraic Thinking: Advanced Understanding of Patterns: Students will expand their understanding of number patterns and relationships, learning to recognize, extend, and create a variety of numerical patterns. They will explore patterns in addition, subtraction, multiplication, and division tables which form the basis for understanding algebraic expressions and equations. Introduction to Variables: Students will be introduced to the concept of variables as unknown quantities represented by letters. They will practice substituting variables with numbers and vice versa, thus understanding the dynamics of a basic algebraic expression. Solving Simple Equations: Students will advance from interpreting and creating number sentences to formulating and solving simple equations with one variable. They will explore different strategies to solve these equations, such as using inverse operations or logical reasoning. Real-world Applications: Building on their problem-solving skills, students will translate real-world situations into simple algebraic equations and find solutions. This not only reinforces the concepts learned but also emphasizes the practical use of mathematics in everyday life. Advanced Number Sense and Operations: Students will handle numbers up to 10,000, mastering addition, subtraction, multiplication, and division. This stage incorporates the Singaporean focus on mastering operations through visual aids, supported by the Russian emphasis on fostering mathematical logic. Multiplication and Division: Students will deepen their understanding of multiplication and division facts. We reinforce these concepts through practical, real-world problems, reflecting the problem-solving emphasis common in both Russian and Singaporean math. Fractions: An introduction to fractions will be provided, where students learn to represent, compare, and perform basic operations, supported by the concrete-to-pictorial-to-abstract methodology of Singapore Math and the logical reasoning from Russian Math. Geometry and Measurement: Exploration of more complex geometric concepts and measurements will be undertaken, including the concept of area and perimeter. The curriculum will incorporate Russian Math's emphasis on proof-based geometric reasoning. Data Analysis: Students will learn to represent and interpret data through simple bar graphs, combining Singapore Math's practical application of math with Russian Math's analytical approach. The class includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 718-247-4133

Logicus Math Grade 3 Honors class provides an enriched and challenging platform for budding mathematicians displaying advanced aptitude. The course amplifies students' understanding of mathematical concepts, particularly an introduction to algebra. The curriculum will include the following: Advanced Number Sense and Operations: Students will handle numbers up to 10,000, mastering addition, subtraction, multiplication, and division. This stage incorporates the Singaporean focus on mastering operations through visual aids, supported by the Russian emphasis on fostering mathematical logic. Multiplication and Division: Students will deepen their understanding of multiplication and division facts. We reinforce these concepts through practical, real-world problems, reflecting the problem-solving emphasis common in both Russian and Singaporean math. Fractions: An introduction to fractions will be provided, where students learn to represent, compare, and perform basic operations, supported by the concrete-to-pictorial-to-abstract methodology of Singapore Math and the logical reasoning from Russian Math. Geometry and Measurement: Exploration of more complex geometric concepts and measurements will be undertaken, including the concept of area and perimeter. The curriculum will incorporate Russian Math's emphasis on proof-based geometric reasoning. Data Analysis: Students will learn to represent and interpret data through simple bar graphs, combining Singapore Math's practical application of math with Russian Math's analytical approach. Algebraic Thinking: Advanced Understanding of Patterns: Students will delve deeper into understanding number patterns and relationships, learning to recognize, extend, and create a variety of numerical patterns. They will explore patterns in addition, subtraction, multiplication, and division tables which form the basis for understanding algebraic expressions and equations. Introduction to Variables: Students will be introduced to the concept of variables as unknown quantities represented by letters. They will practice substituting variables with numbers and vice versa, thus understanding the dynamics of a basic algebraic expression. Solving Simple Equations: Students will advance from interpreting and creating number sentences to formulating and solving simple equations with one variable. They will explore different strategies to solve these equations, such as using inverse operations or logical reasoning. Real-world Applications: Building on their problem-solving skills, students will translate real-world situations into simple algebraic equations and find solutions. This not only reinforces the concepts learned but also emphasizes the practical use of mathematics in everyday life. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 718-247-4133

Logicus Math Grade 3 Honors class provides an enriched and challenging platform for budding mathematicians displaying advanced aptitude. The course amplifies students' understanding of mathematical concepts, particularly an introduction to algebra. The curriculum will include the following: Advanced Number Sense and Operations: Students will handle numbers up to 10,000, mastering addition, subtraction, multiplication, and division. This stage incorporates the Singaporean focus on mastering operations through visual aids, supported by the Russian emphasis on fostering mathematical logic. Multiplication and Division: Students will deepen their understanding of multiplication and division facts. We reinforce these concepts through practical, real-world problems, reflecting the problem-solving emphasis common in both Russian and Singaporean math. Fractions: An introduction to fractions will be provided, where students learn to represent, compare, and perform basic operations, supported by the concrete-to-pictorial-to-abstract methodology of Singapore Math and the logical reasoning from Russian Math. Geometry and Measurement: Exploration of more complex geometric concepts and measurements will be undertaken, including the concept of area and perimeter. The curriculum will incorporate Russian Math's emphasis on proof-based geometric reasoning. Data Analysis: Students will learn to represent and interpret data through simple bar graphs, combining Singapore Math's practical application of math with Russian Math's analytical approach. Algebraic Thinking: Advanced Understanding of Patterns: Students will delve deeper into understanding number patterns and relationships, learning to recognize, extend, and create a variety of numerical patterns. They will explore patterns in addition, subtraction, multiplication, and division tables which form the basis for understanding algebraic expressions and equations. Introduction to Variables: Students will be introduced to the concept of variables as unknown quantities represented by letters. They will practice substituting variables with numbers and vice versa, thus understanding the dynamics of a basic algebraic expression. Solving Simple Equations: Students will advance from interpreting and creating number sentences to formulating and solving simple equations with one variable. They will explore different strategies to solve these equations, such as using inverse operations or logical reasoning. Real-world Applications: Building on their problem-solving skills, students will translate real-world situations into simple algebraic equations and find solutions. This not only reinforces the concepts learned but also emphasizes the practical use of mathematics in everyday life. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 718-247-4133

In fourth grade at Logicus, our Conceptual Analytical Mathematics (CAM) program continues to advance, merging the strengths of the Singaporean and Russian methodologies. The curriculum offers: The Algebraic Thinking section of Logicus Math Grade 4 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. 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. Multiplication and Division: The curriculum will reinforce multiplication and division facts and strategies. This includes complex word problems and real-world applications, integrating Singapore Math's concrete-to-pictorial-to-abstract framework with Russian Math's problem-solving approach. Fractions and Decimals: Students will deepen their understanding of fractions and begin to explore decimals. This involves comparing, ordering, and performing operations with both fractions and decimals, merging Singaporean Math's progressive concept introduction with Russian Math's analytical problem-solving. Geometry and Measurement: Students will engage with more advanced geometric concepts, including angles and lines, as well as complex measurements like the 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. Data Analysis: Students will construct, interpret, and draw conclusions from various types of graphs, harnessing Russian Math's emphasis on data interpretation and Singapore Math's focus on practical application. Algebraic Thinking: Patterns, relationships, simple equations, and introduction to expressions. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 1-917-295-2001.

Logicus Math Grade 4 Honors class offers an advanced, stimulating platform for young mathematicians exhibiting a high level of mathematical proficiency. The course extends students' understanding of mathematical principles, refines their logical reasoning abilities, advances problem-solving skills, and cultivates abstract thinking. The Algebraic Thinking module of Logicus Math Grade 4 Honors takes students further into the engaging realm of algebra. Building on their knowledge, students explore intricate number patterns, handle variables in more complex equations, and solve multi-step problems. The focus on real-world applications fosters students' problem-solving skills, and critical thinking abilities and encourages a sustained passion for learning mathematics. The program includes a 90-minute class each week throughout the academic year. For any inquiries, please contact us at info@logicus.school or 1-917-295-2001.

Our Conceptual Analytical Math curriculum at Logicus for fifth graders delves into advanced mathematical concepts: Algebraic Thinking in Logicus Math Grade 5 builds upon prior knowledge, diving into more advanced aspects of algebra. This section aims to hone students' abilities to think abstractly and reason algebraically, equipping them for more sophisticated mathematical concepts in the future. Subtopics: Introduction to Functions: Students will be introduced to the concept of functions as a rule that assigns exactly one output to each input. They'll learn to represent functions using tables, graphs, and equations. Real-world Applications: Students will continue applying their algebraic thinking to real-world problems, translating more complex situations into algebraic equations and functions. Understanding Variables and Expressions: Students will delve deeper into the use of variables, learning to create, interpret, and simplify algebraic expressions. They'll work with multiple variables and learn to evaluate expressions for given variable values. Solving Multi-step Equations: Students will build on their equation-solving skills, learning to solve multi-step equations that involve variables on both sides. They'll master strategies such as combining like terms and using the distributive property. Multiplication, Division, Fractions, and Decimals: These foundational arithmetic concepts are reinforced with an emphasis on operations involving large numbers and decimals. Expanded Fractions and Introduction to Ratios: Students delve deeper into understanding fractions and are introduced to the concept of ratios. Geometry: Students cover a wide range of geometric concepts, including properties of angles, parallelograms, triangles, and circles. Measurement: Students explore measurement in greater depth, including the calculations of area, perimeter, and volume. Data Analysis and Probability: The curriculum introduces data interpretation in more depth and the fundamental concepts of probability. Application of Concepts through Word Problems: Central to both Singaporean and Russian methodologies is the application of mathematical concepts through word problems. Throughout the CAM program, students regularly engage with word problems that require the application of their growing knowledge base. The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-917-295-2001.

Our Conceptual Analytical Math curriculum at Logicus for fifth graders delves into advanced mathematical concepts: Algebraic Thinking in Logicus Math Grade 5 builds upon prior knowledge, diving into more advanced aspects of algebra. This section aims to hone students' abilities to think abstractly and reason algebraically, equipping them for more sophisticated mathematical concepts in the future. Subtopics: Introduction to Functions: Students will be introduced to the concept of functions as a rule that assigns exactly one output to each input. They'll learn to represent functions using tables, graphs, and equations. Real-world Applications: Students will continue applying their algebraic thinking to real-world problems, translating more complex situations into algebraic equations and functions. Understanding Variables and Expressions: Students will delve deeper into the use of variables, learning to create, interpret, and simplify algebraic expressions. They'll work with multiple variables and learn to evaluate expressions for given variable values. Solving Multi-step Equations: Students will build on their equation-solving skills, learning to solve multi-step equations that involve variables on both sides. They'll master strategies such as combining like terms and using the distributive property. Multiplication, Division, Fractions, and Decimals: These foundational arithmetic concepts are reinforced with an emphasis on operations involving large numbers and decimals. Expanded Fractions and Introduction to Ratios: Students delve deeper into understanding fractions and are introduced to the concept of ratios. Geometry: Students cover a wide range of geometric concepts, including properties of angles, parallelograms, triangles, and circles. Measurement: Students explore measurement in greater depth, including the calculations of area, perimeter, and volume. Data Analysis and Probability: The curriculum introduces data interpretation in more depth and the fundamental concepts of probability. Application of Concepts through Word Problems: Central to both Singaporean and Russian methodologies is the application of mathematical concepts through word problems. Throughout the CAM program, students regularly engage with word problems that require the application of their growing knowledge base. The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-917-295-2001.

This course is designed for high-performing students. Topics covered include number theory, reasoning, and proofs; number systems in different bases; word problems and modeling with equations and inequalities; percents, patterns, and sequences; relations; Pythagorean theorem proof and Pythagorean triplets; properties of parallel and perpendicular lines; geometrical construction problems, statistics, counting and probability, and more! Grade 5 Honors prepares students for the rigors of algebra and teaches them problem-solving techniques for middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8. The program includes a 105-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 914-243-1431.

Logicus Pre-Algebra serves as a critical bridge between elementary mathematics and algebra, leveraging the Russian and Singaporean pedagogical methodologies to build a firm foundation for higher mathematical learning. Specific Topics Covered: Number Theory: Introduction to prime and composite numbers, divisibility rules, prime factorization, greatest common factor, and least common multiple. Integers and Rational Numbers: Understanding positive and negative numbers, operations with integers, and rational numbers. Algebraic Expressions: Simplifying expressions, properties of operations, and translating words into mathematical expressions. Equations and Inequalities: Solving simple equations and inequalities, understanding and representing solutions on the number line. Ratio, Proportion, and Percent: Understanding ratios and proportions, solving problems involving percent. Geometry and Measurement: Introduction to the concept of pi, calculating the area and circumference of a circle, introduction to the volume of prisms and cylinders. Data Analysis and Probability: Representing data using histograms and box plots, understanding and calculating probability. Algebraic Thinking: Algebraic Thinking in Logicus Pre-Algebra introduces students to core algebraic concepts, preparing them for the study of algebra. Subtopics: Advanced Understanding of Variables and Expressions: Students will learn to construct and simplify more complex algebraic expressions, deepening their understanding of the roles variables play in mathematics. Solving Equations and Inequalities: Students will gain proficiency in solving more advanced equations and inequalities, applying their knowledge to real-world problem-solving scenarios. They'll learn to represent solutions graphically on the number line. Introduction to Algebraic Properties: Students will explore and understand essential algebraic properties like the commutative, associative, and distributive properties and how these are used to simplify and solve algebraic expressions and equations. Real-world Applications: Students will apply algebraic concepts to solve increasingly complex real-world problems, fostering their ability to use mathematics as a tool for reasoning and problem-solving. The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-917-295-2001.

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! The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-917-295-2001.

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! The program includes a 90-minute class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-917-295-2001.

A thorough introduction for students in grades 7-9 to algebra topics 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! This course also includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions. A brief treatment of college-level Linear Algebra. The program includes a 2-hour class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-914-243-1431

A thorough introduction for students in grades 7-9 to algebra topics 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! This course also includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions. A brief treatment of college-level Linear Algebra. The program includes a 2-hour class each week for the academic year. For inquiries, please reach us at info@logicus.school or 1-914-243-1431

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. Students will also be introduced to test-specific strategies and logical reasoning techniques to tackle unfamiliar or multi-step problems with clarity. Program Highlights: Format: Weekly 2-hour class Duration: 34 weeks Practice Exams: Periodic diagnostic SHSAT-style assessments to track progress and build familiarity Focus: Deep conceptual understanding, pacing, and problem-solving under timed conditions This extended timeline allows students to absorb and practice challenging concepts at a comfortable pace, building confidence and mastery long before test day. For more information or to enroll, please contact us at info@logicus.school or call 1-914-243-1431.