Summer School
Fundamentals of Algebra 2 & Trigonometry
Champion’s approach is holistic in nature as we believe it’s important to not only have a firm understanding of curricular concepts but also understand how to best learn within the content of the subject itself. In other words, we believe it’s critical to have a metacognitive understanding of how learning takes place in subjects so that students can feel in control of their learning journey.
Champion’s tuition team creates a safe, supportive, and conducive environment for learning so students are able to develop beyond the framework of their subjects. Our tutors also have experience working with neurodiverse learners and create personalized learning programs to support their needs.
Fundamentals of Algebra 2 & Trigonometry is designed to nurture a learner’s confidence by equipping them with the necessary skills required to establish a strong foundation to understand the scope and sequence of the course. This foundation will be built by improving and strengthening fluency in basic algebraic concepts to ensure that the learner has a firm footing in the required fundamentals and skills in order to attain mastery in Algebra 2 & Trigonometry. This course aims to give students increased confidence and more control of their math learning journey. The learner will be introduced to the language of logic and new algebraic concepts that will lay the cornerstone for their Algebra 2 & Trigonometry journey.
Prerequisite: Fundamentals of Algebra
Scope:

Forming and solving linear equations (with emphasis on math vocabulary involved)

Review of Linear, Systems and Quadratic Equations

Addition, Subtraction, Multiplication, and Division of Algebraic Fractions (with emphasis on GCF, LCM and Illegal Cancellation of terms)

Introduction to Function Notation, Domain, Range of Functions

Composition of Functions

Inverse of Functions
Students will be provided with:

Course Booklet

Summary Notes

Questions differentiated by difficulty levels

Answer booklet detailing stepbystep solutions

Practice Quizzes / Tests
Algebra 2 & Trigonometry
Champion’s approach is holistic in nature as we believe it’s important to not only have a firm understanding of curricular concepts but also understand how to best learn within the content of the subject itself. In other words, we believe it’s critical to have a metacognitive understanding of how learning takes place in subjects so that students can feel in control of their learning journey.
Champion’s tuition team creates a safe, supportive, and conducive environment for learning so students are able to develop beyond the framework of their subjects. Our tutors also have experience working with neurodiverse learners and create personalized learning programs to support their needs.
Algebra 2 & Trigonometry is designed for the learner who has a firm footing in basic Algebra and is interested in prelearning concepts which will be taught in Algebra 2 & Trigonometry. The learner will first be introduced to fundamental ideas pertaining to Function Notation, Domain & Range of Functions, and Composition & Inverse of Functions. Upon attaining and mastery of these skills, the learner will then choose from a range of algebra/trigonometry unit to progress with. This course aims to give students increased confidence and more control of their math learning journey.
Prerequisite: A solid understanding of Algebra fundamentals.
Scope:

Introduction to Function Notation, Domain, Range of Functions (1 lesson)

Composition of Functions, Inverse of Functions (1 lesson)

Quadratic Equations

Polynomial Functions

Exponential and Logarithmic Functions

Trigonometric Identities/Equations

Trigonometric Graphs

Fundamentals of Probability

Students will be provided with:

Course Booklet

Summary Notes

Questions differentiated by difficulty levels

Answer booklet detailing stepbystep solutions

Practice Quizzes / Tests
Fundamentals of High School Geometry
Champion’s approach is holistic in nature as we believe it’s important to not only have a firm understanding of curricular concepts but also understand how to best learn within the content of the subject itself. In other words, we believe it’s critical to have a metacognitive understanding of how learning takes place in subjects so that students can feel in control of their learning journey.
Champion’s tuition team creates a safe, supportive, and conducive environment for learning so students are able to develop beyond the framework of their subjects. Our tutors also have experience working with neurodiverse learners and create personalized learning programs to support their needs.
Fundamentals of High School Geometry is designed to nurture a learner’s confidence by equipping them with the necessary skills required to establish a strong foundation to understand the scope and sequence of the course. This foundation will be built by reinforcing algebra and problemsolving skills to ensure that the learner has a firm footing in the required fundamentals and skills in order to attain mastery in geometry.
This course aims to give students increased confidence and more control of their math learning journey. The learner will be introduced to the language of logic and developing proofs that will lay the cornerstone for their geometry learning journey.
Prerequisite: Fundamentals of Algebra
Scope:
1. Review of: Linear and System of Equations
a. Quadratic equations
b. Forming and solving equations
c. Coordinate Geometry Fundamentals
d. Changing the subject of an equation
2. Introduction to the language of Mathematical Logic
a. Use of Properties of Equality
b. Use of Properties of Congruence
c. Use of logical connectors such as Reflexive,
Transitive, Substitution Properties
3. Developing Proofs
a. Plan a 2 column proof using logic, postulates,
and theorems
b. Write a 2 column proof using logic, postulates, and theorems
4. An introduction to the basics of High School Geometry
a. Definitions and Postulates pertaining to:
i. Points, Lines, and Planes
ii. Angles
iii. Parallel and Perpendicular Lines
Students will be provided with:

Course Booklet

Summary Notes

Questions differentiated by difficulty levels

Answer booklet detailing stepbystep solutions

Practice Quizzes / Tests
High School Geometry
Champion’s approach is holistic in nature as we believe it’s important to not only have a firm understanding of curricular concepts but also understand how to best learn within the content of the subject itself. In other words, we believe it’s critical to have a metacognitive understanding of how learning takes place in subjects so that students can feel in control of their learning journey.
Champion’s tuition team creates a safe, supportive, and conducive environment for learning so students are able to develop beyond the framework of their subjects. Our tutors also have experience working with neurodiverse learners and create personalized learning programs to support their needs.
High School Geometry is a course designed for the learner who has a firm footing in Algebra and is interested in prelearning concepts which will be taught in High School Geometry. The learner will be introduced to the language of logic and developing proofs that will lay the cornerstone for their geometry journey. This course aims to give students increased confidence and more control of their math learning journey.
Prerequisite: A solid understanding of Algebra fundamentals.
Scope:

Points, Lines, and Planes

Triangle Geometry

Triangle Trigonometry

Circle Theorems

Properties of Quadrilaterals

Area and Volume of Shapes

Transformations
Students will be provided with:

Course Booklet

Summary Notes

Questions differentiated by difficulty levels

Answer booklet detailing stepbystep solutions

Practice Quizzes / Tests