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 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. 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 914-243-1431.
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.
Ages 10–11Course
From $3811
Logicus Math Grade 2 Honors
Logicus Larchmont · Co-op City
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
From $3410
Logicus Math Grade 1
Logicus Larchmont · Co-op City
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 914-243-1431 (Larchmont campus) and 718-247-4133 (Park Slope campus) for any questions. Thanks for choosing Logicus!
Ages 6–7Course
From $3811
Logicus Math Grade 5 Honors
Logicus Larchmont · Co-op City
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.
Ages 10–11Course
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