UCAN Tutoring Center / Middle/High School Improvement

Middle/High School Improvement

Comprehensive coverage of middle and high school subjects, filling gaps, solidifying foundations, and improving school grades.

School Sync

Course Highlights

Small Class Size (6 Students)

Expert Tutoring

Homework Tracking

School Sync

Knowledge Consolidation

Course Syllabus

Grade/Course

Grade 7-8 Math

Math

Topic	Hours
1 Number / Numeracy Represent Compare Order numbers Convert Operation	8 Hrs
2 Algebra Expressions with variables Combine expressions Equations Inequalities	12 Hrs
3 Data Data representation Mean/Median/Mode Probability Interpret relationships & Draw conclusions	8 Hrs
4 Measurement and Geometry Properties Transformation Movement Measurement in 2D & 3D	8 Hrs
5 Financial Literacy	4 Hrs

Grade 9 Math

Math

Topic	Hours
1 Rational Numbers Mixed operations involving fractions Rational number operations	4 Hrs
2 Powers and Polynomials Multiplying and dividing powers Polynomials	4 Hrs
3 Linear Relations Linear relations Linear and nonlinear relations	4 Hrs
4 Linear Equations Solving linear equations Solving for a variable in a linear relation	6 Hrs
5 Analytic Geometry Exploring the equation of a line Determine the equation of a line Parallel and perpendicular lines	6 Hrs
6 Investigating Relationships Research on data Reasoning about data	4 Hrs
7 Properties of 2-D Figures Properties of polygons Exploring polygons	6 Hrs
8 Measurement Determining surface area Exploring volume and surface area	6 Hrs

Grade 10 Math

Math

Topic	Hours
1 Systems of Linear Equations Solving linear equations Solving linear systems: substitution & elimination	6 Hrs
2 Analytic Geometry: Line Segments and Circles Line segments and circles Exploring properties of geometric figures	4 Hrs
3 Graphs of Quadratic Relations Exploring quadratic relations Expanding quadratic expressions	6 Hrs
4 Factoring Algebraic Expressions Factoring quadratics Factoring polynomials	4 Hrs
5 Applying Quadratic Models Translations of quadratic relations Quadratic models using vertex form	4 Hrs
6 Quadratic Equations Solving quadratic equations Solving problems using quadratic models	6 Hrs
7 Similar Triangles and Trigonometry Solving Similar Triangle Problems Solving Right Triangle Problems	4 Hrs
8 Acute Triangle Trigonometry Sine Law Cosine Law	6 Hrs

Grade 11 Math

Math

Topic	Hours
1 Introduction to Functions Exploring properties of parent functions Determining the domain and range of a function Exploring transformations of parent functions Using transformations to graph functions	6 Hrs
2 Equivalent Algebraic Expressions The arithmetic operations involving polynomials The arithmetic operations involving rational expressions	4 Hrs
3 Quadratic Functions Properties of quadratic functions Solving quadratic equations	4 Hrs
4 Power functions and Exponential Functions Power functions Exponential functions	6 Hrs
5 Trigonometric Functions Basic trigonometric functions Advanced trigonometric functions	10 Hrs
6 Discrete Functions: Sequences and Series Arithmetic series Geometric series	6 Hrs
7 Discrete Functions: Financial Applications Simple interest problems Annuities: Future value & Present value	4 Hrs

Grade 12 Math (MCV4U)

Math

Topic	Hours
1 Introduction to Calculus Rates of change Limits	6 Hrs
2 Derivatives Derivative function The derivatives of composite functions	6 Hrs
3 Derivatives and their Applications Higher order derivatives, velocity and acceleration Minimum and maximum Optimization problems	4 Hrs
4 Curve Sketching Properties of functions Concavity and points of inflection	4 Hrs
5 Derivatives of Exponential and Trigonometric Functions Derivatives of exponential functions Derivatives of trigonometric functions	4 Hrs
6 An Introduction to Vectors Vectors Operations with vectors in R2 and R3	4 Hrs
7 Applications of Vectors The dot product of vectors The cross product of vectors	4 Hrs
8 Equations of Lines and Planes Cartesian equation of a line Cartesian equation of a plane	4 Hrs
9 Relationships Between Points, Lines and Planes Systems of equations The distance from a point to a line/a plane	4 Hrs

Grade 12 Math (MHF4U)

Math

Topic	Hours
1 Functions: Characteristics and Properties Exploring absolute value Exploring operations with functions	4 Hrs
2 Functions: Understanding Rates of Change Average rate of change & instantaneous rate of change Problems solving	4 Hrs
3 Polynomial Functions Characteristics of polynomial functions Dividing and factoring polynomials	4 Hrs
4 Polynomial Equations and Inequalities Polynomial equations Polynomial inequations	4 Hrs
5 Rational Functions, Equations, and Inequalities Graphs of rational functions Solving rational inequalities	4 Hrs
6 Trigonometric Functions Exploring graphs of trigonometric functions Modelling with trigonometric functions	4 Hrs
7 Trigonometric Identities and Equations Exploring trigonometric functions Solving trigonometric equations	4 Hrs
8 Exponential and Logarithmic Functions Exploring the logarithmic function Solving exponential and logarithmic function problems	6 Hrs
9 Combinations of Functions Combinations of functions Techniques for solving equations and inequalities	6 Hrs

Grade/Course

Grade 6-8 Reading & Vocabulary

English

Topic	Hours
1 Vocabulary Building & Usage Root words, prefixes, and suffixes Context clues for vocabulary	6 Hrs
2 Reading Comprehension Strategies Main ideas and supporting details Making inferences and drawing conclusions	6 Hrs
3 Literary Analysis Elements of fiction (character, plot, setting) Identifying figurative language	6 Hrs
4 Non-Fiction Reading Analyzing news and editorials Identifying arguments and evidence	6 Hrs
5 Basic Writing Skills Sentence variety and structure Paragraph development and transitions	6 Hrs

Grade 9-12 Grammar & Academic Writing

English

Topic	Hours
1 English Fundamentals & Sentence Core English sentence structure overview Eight parts of speech & sentence elements Basic sentence patterns & expansion	6 Hrs
2 Verb System & Tenses Verb concepts & predicate structure English tense system Passive voice & writing expression	8 Hrs
3 Non-finite Verbs & Clauses Non-finite verbs overview Advanced non-finite verb usage Noun clauses Relative clauses Adverbial clauses	10 Hrs
4 Grammar Challenges & Sentence Enhancement Subjunctive mood Inversion & emphatic structures Agreement & common errors	6 Hrs
5 Writing Skills Training Paragraph writing structure Common writing genres (Part 1) Common writing genres (Part 2) Writing language enhancement	8 Hrs
6 Comprehensive Writing & Review Integrated grammar & writing application Mock exam writing Personalized feedback & improvement	2 Hrs

Grade/Course

Grade 11 Physics

Physics

Topic	Hours
1 Kinematics Motion in a Straight Line Motion in Two Dimensions	8 Hrs
2 Forces Newton’s Laws of Motion Applications of Forces	6 Hrs
3 Energy and Society Work, Energy, Power, and Society Thermal Energy and Society Nuclear Energy and Society	8 Hrs
4 Waves and Sound Vibrations and Waves Wave Interactions Applications of Waves	6 Hrs
5 Electricity and Magnetism Electricity and Its Production Electromagnetism Electromagnetic Induction	12 Hrs

Grade 12 Physics

Physics

Topic	Hours
1 Dynamics Kinematics Dynamics Uniform Circular Motion	12 Hrs
2 Energy and Momentum Energy and Momentum Momentum and Collisions	6 Hrs
3 Gravitational, Electric, and Magnetic Fields Gravitational Fields Electric Fields Magnetic Fields	12 Hrs
4 The Wave Nature of Light Waves and Light Applications of the Wave Nature of Light	4 Hrs
5 Revolutions in Modern Physics Relativity Quantum Mechanics	4 Hrs

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