1-on-1 Mastery-Based Algebra II · Taipei

Algebra II, from solving to analyzing.

Algebra II asks students to think about whole families of functions, not just specific equations. Lessons build from the algebraic fluency students already have toward the function-family analysis their class is now requiring.

Audience
Algebra II and equivalent algebra content, international school students
Format
1-on-1, 1 to 1.5 hours per lesson
Duration
Typically 6 to 12 months per program
Begin
Complimentary consultation & assessment class

What Students Learn

Mastery-based Algebra II at the level your child's school actually requires.

Algebra II is for students who have completed Algebra I but are running into difficulty with the function-family thinking the course introduces. The program covers the core algebra content high school mathematics builds on. Working with linear, quadratic, and polynomial functions in their function-family context. Manipulating rational expressions and solving rational equations. Reasoning through exponential growth, decay, and logarithmic functions. Working with radical functions and complex numbers. Analyzing sequences, series, and patterns of mathematical growth. Connecting algebra to geometry through conic sections and coordinate analysis. These are the topics Pre-Calculus and beyond assume.

Different algebraic content demands different approaches. Polynomial functions work differently from rational functions, and exponential growth works differently from sequence patterns. Students learn to recognize what kind of algebra problem they're working with and to apply the strategies that fit. By the end of Algebra II, this distinction is what separates students who think analytically about functions from students who only memorize formulas.

Lessons follow Harland's Algebra II curriculum, which is built to bring students to mastery of Algebra II content and matches international school expectations. The program is structured into five units that follow the natural flow of Algebra II content. Each unit closes in a deliverable that measures whether the student has reached mastery of the content before moving on. Lessons calibrate to your child's individual gaps and the topics they're working through at school. If a student is working through polynomial functions at school, the teacher works through it with the student, applying the unit's analytical structure to the kinds of problems their class is currently doing. Harland's curriculum decides what gets taught. The student's school Algebra II class is where the teaching happens.

Progress shows up in places parents can see. Your child stops freezing on function-family problems. They start seeing how families of equations behave instead of memorizing isolated formulas. School feedback shifts from "inconsistent on word problems" toward "thinks through the structure of the problem before solving."

How We Teach It

Algebra II taught through what students are working on.

Harland's pedagogy is content-based learning. Algebraic thinking, function-family analysis, and problem-solving develop through the topics, problem sets, and assignments your child is already working on at school. Assessments check whether the thinking holds up when the student moves to new content alone.

That means lessons that work directly with school material. A student working through polynomial functions and factoring works on it with their teacher, applying the unit's analytical structure to the higher-degree problems and graph interpretation their school is asking for. A student moving into exponential and logarithmic functions works on it with their teacher, applying the unit's function-family thinking to the modeling and equation-solving their class is doing. A student working through sequences, series, and the introduction to conic sections works on it with their teacher, building the abstraction skills the next courses in the sequence will assume.

Algebra II is also a question of engagement. Some students arrive having handled algebra fluently in previous courses but struggle with the sustained abstraction Algebra II asks for. The work feels longer, the problems take more steps, and what worked in earlier algebra stops working at scale. The 1-on-1 format gives teachers room to slow down where the abstraction is unfamiliar, and to keep the work substantive without losing the student's interest. Skill and focus develop together. Neither moves far in isolation.

The format also lets teachers calibrate within the program's structure. A student arriving with weak Algebra I foundations gets work calibrated to fill in those gaps before moving to function-family content. They aren't held to a generic remediation script. A student fluent with procedural manipulation but missing conceptual depth gets pushed toward the harder questions their school will eventually ask. What does this function family represent. Why does this approach generalize. What pattern connects these problems to others like them.

Curriculum and Alignment

A structured curriculum that aligns with your child's school.

Algebra II at Harland follows a structured curriculum keyed to the typical Algebra II content taught in international schools. A student who completes the program has demonstrated mastery of Algebra II content.

Harland's curriculum runs five units. Most school Algebra II courses spread across more. 1-on-1 lessons don't lose time to group pacing or mixed-ability instruction, so the same core content fits in fewer, more substantive units. The time saved goes into the abstract reasoning Algebra II rewards.

Lessons coordinate with whatever curriculum your child's school follows. The Algebra II curriculum tracks against the Common Core State Standards for High School Algebra and Functions. Students from US-curriculum schools work through it as their school's Algebra II course. Students at IB or Cambridge schools, where the algebra II content sits within an integrated G10–11 mathematics syllabus, use the program for targeted reinforcement calibrated to whatever their school is currently working on. Where a school uses its own internal curriculum, the Student Coordinator translates school expectations into lesson goals.

Standards
Harland's Algebra II curriculum, with cross-references to Common Core State Standards for High School Algebra and Functions and school-specific expectations as relevant
Materials
Harland curriculum materials, with school texts, worksheets, and assignments integrated as ongoing input
Assessment
End-of-unit assessments, tracked against Algebra II mastery and school-flagged skills
Reporting
Skill-level tracking against Harland's internal rubrics, matched to international school standards

Prerequisites and What Comes Next

Where Algebra II fits in your child's learning.

Before starting

Algebra II assumes Algebra I content fluency, including linear and quadratic functions, polynomial manipulation, and basic equation-solving. Students with gaps in these areas typically work in Algebra I first or alongside Algebra II, depending on how foundational the gaps are.

Some students at Algebra II level still find that mathematical word problems read harder than the algebra itself, because the English vocabulary is doing more work than the algebra is. Where this is the case, Academic English (Grades 3–12) runs alongside as a parallel program. The Student Coordinator helps families judge whether the gap is in the algebra or in the language carrying the algebra.

The consultation and assessment class establishes whether Algebra II is the right starting point and whether parallel work in another program would help. Some students arrive needing both Algebra I review and Algebra II support, and the lesson plan covers what's most urgent first.

What comes after

Most students complete Algebra II in 6 to 12 months, depending on starting position and lesson cadence. At completion, families have a clear decision point.

Many students continue with Pre-Calculus, the next course in the standard high school mathematics sequence. Others step away from Harland once Algebra II content is mastered, returning if later courses become difficult.

Students on AP tracks at higher grades progress to AP Pre-Calculus, AP Calculus AB or BC, and other AP mathematics offerings on our AP Program. Students at IB schools continue through to IB Diploma Mathematics: Analysis and Approaches, or Applications and Interpretation, at Standard or Higher Level on the IB Diploma Programme. Students preparing for SAT may use Algebra II work as foundation for Test Preparation.

The longer-term aim of Algebra II is to make itself unnecessary. The program brings students to mastery of Algebra II content. Some continue with Pre-Calculus, others don't need Harland until later in the sequence. A parent who's no longer worried about their child's math is the point of all of it.

Common Questions

Common questions about Algebra II at Harland.

Who is Algebra II at Harland for? +
Algebra II at Harland is for students who have completed Algebra I and are now working through high school Algebra II. Most of our students fall into one of three patterns. Some are at US-curriculum international schools where Algebra II is the standard G10 or G11 course and they're falling behind their teacher's pace, particularly when functions become more abstract. Some are advanced students working through Algebra II at G9 or earlier and want to deepen their mastery of function-family thinking. Some are at IB or Cambridge schools where the Algebra II content within their integrated mathematics syllabus needs targeted reinforcement.
My child can do the algebra but freezes when functions get more abstract. Is this the right program? +
Yes, in most cases. The shift from Algebra I to Algebra II is one of the most common difficulty points in international school mathematics. Algebra I gave concrete equations to solve. Algebra II asks students to think about whole families of functions and how they behave abstractly. The program addresses what makes that transition difficult. Reading function notation and recognizing what each function family represents. Connecting equations, graphs, and tables as different views of the same mathematical object. Working through the longer multi-step problems Algebra II demands. Building the focus that sustained abstract work requires.
Can my child begin Harland over the summer? +
Yes. Summer enrollment is available across most Harland programs. The summer block is a 4 to 8 week 1-on-1 program scheduled between late June and early August, typically two to three sessions per week, calibrated to what your child's school will be teaching later in the school year. See Summer Enrollment for full details.
What does Algebra II at Harland cover? +
Algebra II at Harland covers the core algebra content typically taught in a high school Algebra II course. Working with linear, quadratic, and polynomial functions in their function-family context. Manipulating rational expressions and solving rational equations. Reasoning through exponential growth, decay, and logarithmic functions. Working with radical functions and complex numbers. Analyzing sequences, series, and patterns of mathematical growth. Connecting algebra to geometry through conic sections and coordinate analysis. Working with applied problems and modeling. Lessons calibrate to whichever topics your child's school is emphasizing. If a teacher has flagged a specific skill, the lesson plan can focus on that skill rather than running through the whole program.
How long is each lesson and how often does my child attend? +
Lessons are 1-on-1 sessions of 1 to 1.5 hours, in person at our head office in Da'an or online. Most students attend one to three lessons per week. The Algebra II program is structured around five units of work, each closing in a deliverable. At one or two lessons per week, the program typically takes a school year. At three lessons per week, a semester. The Student Coordinator helps you choose the cadence that fits.
How are lessons scheduled, and what if we need to reschedule? +
Lessons happen on a fixed weekly slot reserved with your child's primary teacher. This protects the teacher's time and keeps a consistent rhythm for your child. If you need to reschedule, give us at least 24 hours of notice and we'll find another time when your teacher is available. Many families add classes during summer or winter vacation, either to accelerate progress or to make up for a slower term. Once a unit has started, it should be completed within a defined window. The Student Coordinator walks through the details when you enroll.
How do you measure progress? +
Progress is measured through the curriculum's assessments. The Algebra II program has five units, each closing in an assessment that measures conceptual understanding, procedural fluency, problem-solving, and mathematical reasoning across the unit's content. Parents receive updates after every lesson and formal progress reports when each unit ends. Skill-level tracking uses Harland's internal rubrics, which match international school standards. Where helpful, the Student Coordinator translates this into the expectations of your child's school.
How do we begin? +
Every Harland relationship begins with a consultation, followed by a 1-on-1 assessment class. The consultation is about your goals and your child's situation. The assessment class is about how your child works in the subject. Together they tell us where to start and what kind of teacher will fit best.

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