MathChamps with Mrs. Barcellos

Home School Course Offerings

I am happy to say that MathChamps is officially an approved vendor with Heartland Charter, Yosemite Valley Charter, and Monarch River Academy!

As your dedicated math teacher, my goal is to offer homeschool families organized and structured online math classes. By providing clear instruction and carefully curated resources, I aim to support students in their math journey while allowing families to focus on other aspects of homeschooling.

Courses Organized Below by Grade Level

Please note: Some students may take a different math course than their grade depending on their current math level. Students can also sign up for private one on one tutoring with me if they need more help beyond the virtual office hours provided with each course.

Learn more about your teacher, Mrs. Barcellos, by clicking here.

Online Class Schedule

COST

Overview and Expectations

What is the Integrated Math Pathway?

9th Grade Math: INTEGRATED MATH 1 (IM1) Only available for tutoring beginning January 2025!

10th Grade Math: INTEGRATED MATH 2 (IM2) - Only available for tutoring for 24/25 school year!

What if my student plans to go to an in-person high school?

Online Class Schedule

Fall Semester: Monday, August 19th to Friday, December 20th

Spring Semester: Tuesday, January 21st to Friday, May 30th

School Holidays and Breaks will be observed! Fridays are reserved for office hours only.

Semester calendars will be posted to Google Classrooms once students are enrolled in MathChamps courses.

COST

HEARTLAND MONTHLY PAYMENTS & PROCURIFY ORDER DUE DATES

Fall Semester (8/19-12/19)

November $110 (place order between October 1st & October 31st)
December $110 (place order between November 1st & November 30th)

Spring Semester (1/21-5/30)

January $180 (place order between December 1st & December 16th)
February $180 (place order between January 1st & January 31st)
March $180 (place order between February 1st & February 28th)
April $180 (place order between March 1st & March 31st)
May $180 (place order between April 1st & April 9th)

Overview and Expectations

A-G Approved Math Guides

I will be teaching following the required guides for math classes from each charter school I service for each of the following math courses: 6th grade, 7th grade, 8th grade, Integrated Math 1, Integrated Math 2. The purpose for following the guides is to ensure each family will be able to obtain the work samples necessary to show student's progress in each of the courses as approved by their school.

Virtual Classes

Each class will meet 4 days a week for 50 minutes at a time Monday through Thursday.
All classes will be recorded! If you need to miss a class, you will email Mrs. Barcellos to let her know and the class recording will be made available after class. Students should complete their class notes the same day if possible.
- Attendance will be tracked because it is so important to be in class and actively participating - but here at MathChamps I completely understand 100% attendance is not realistic! I will make sure your student has the resources they need to be successful as long as they catch up after they miss a class.

Google Classroom

Daily assignments and resources will always be posted to Google Classroom.
The 2024/25 school year will be my first time using Google Classroom's grading system. There might be a learning curve and some adjustments needed, but I am hopeful that it will be an effective tool for students and families to track progress.
Each class will have a semester calendar that will be shared in Google Classroom for families and students to access.
- The calendar is a spreadsheet that outlines the day's lesson, independent practice assignments, as well as additional resources and optional practice opportunities for students to enhance their skills further.

Math Handouts

I use Maneuvering the Middle's Math Curriculum for 6th-8th grade and most of Integrated Math 1. I use All Things Algebra Math Curriculum for Integrated Math 2 and to fill in the gaps for IM1.
These curriculums have been incredibly helpful for students, offering organized handouts, relevant problems, real-world applications, and structured practice.
Each Friday before the following week, I will provide students with the necessary documents to be printed, ensuring they are prepared for class. Families should ensure that these handouts are printed before class begins to ensure students are prepared ahead of time.
- Additionally, students should refrain from working ahead on these assignments and wait to begin any handouts until instructed during class.
Students typically organize the current unit's handouts in a small folder. Once the unit is complete, they move the handouts to a dedicated section in a binder where they store all their math notes. Alternatively, for online classes, students can keep everything in a single binder at home for easy access.

DeltaMath

DeltaMath is an online math platform that provides practice problems and instructional resources aligned with various math curriculum. It allows me to assign specific skills for students to practice independently after our class lessons.
I prefer using online programs like DeltaMath for independent practice assignments because students receive immediate feedback on their answers. They get step-by-step solutions after attempting problems and have unlimited tries to achieve 100% completion, usually with new questions each time.
Each DeltaMath assignment provides students with access to instructional videos and numerous example problems.
Even if assignments are past due, students can still complete them, though there will be a reduction in points for timeliness. The most important goal is for students to complete every assignment to 100% to ensure they practice all necessary skills.

Khan Academy

Khan Academy is a free online learning platform offering interactive lessons and exercises in various subjects, including math, science, economics, and more.
There are times when DeltaMath may not have the specific practice set I'm looking for... so I will assign occasional assignments on Khan Academy. Therefore, students will have an account in both DeltaMath and Khan Academy for my math class.
Similar to DeltaMath, Khan Academy provides students with instant feedback on their answers and offers videos and examples for additional support.

IXL

IXL is an online learning platform that offers comprehensive, standards-aligned math content for K-12 students. It provides personalized practice, immediate feedback, and detailed performance analytics to help students master math skills and improve their performance.
Although I don't have the funds for a teacher subscription to assign specific skills and check student's progress from my end, I will provide a code for the relevant skills within your student's grade level for students to practice on their own. Students will need to select the correct grade level and then search for the code to find the skills that align with our lessons.

Notebooks & Whiteboards

It's essential for students to have a notebook or whiteboard handy when working on their online math assignments in DeltaMath, Khan Academy, or IXL. While I require using paper for graded assignments, (see below), students have the option to use a whiteboard for extra practice in IXL.
For online classes, students must show their online assignment work on paper. They can then scan it and upload it to the daily Google Classroom assignment for their Home School Teacher to download as work samples.

Participation

Active participation in class is encouraged and valued. My objective is to foster a supportive classroom environment where every student feels empowered to ask questions, contribute answers, and seek assistance without hesitation. I also expect all students to demonstrate the same level of support and patience towards their peers as I do towards them.

6th Grade Math

Sixth-grade math introduces and reinforces foundational mathematical concepts that prepare students for the more advanced topics they will encounter in middle school. This includes:

Ratios and Proportional Relationships:
- Understanding and using ratios to describe relationships between two quantities
- Solving problems involving unit rates and equivalent ratios
- Working with percentages as a special ratio
Number System:
- Dividing fractions by fractions
- Understanding and performing operations with multi-digit whole numbers and decimals
- Finding common factors and multiples
- Introducing negative numbers and their place on the number line
Expressions and Equations:
- Writing and evaluating numerical expressions involving whole-number exponents
- Understanding and using variables to represent numbers in expressions and equations
- Solving simple equations and inequalities
- Applying the properties of operations to generate equivalent expressions
Geometry:
- Understanding and calculating the area, surface area, and volume of geometric figures
- Classifying and analyzing geometric shapes based on their properties
- Solving problems involving coordinate planes, including finding the distance between points
Statistics and Probability:
- Developing an understanding of statistical variability
- Summarizing and describing distributions using measures of central tendency (mean, median, mode) and measures of spread (range, interquartile range)
- Displaying and interpreting data using graphs and plots (bar graphs, histograms, box plots)
Integers and Rational Numbers:
- Extending the number line to include negative numbers
- Understanding and performing operations with positive and negative numbers
- Comparing and ordering rational numbers

Sixth-grade math focuses on reinforcing and extending students' arithmetic skills, introducing basic algebraic concepts, and developing their understanding of geometric and statistical ideas. The curriculum aims to provide a solid foundation for the more complex topics they will study in seventh and eighth grade.

I use Maneuvering the Middle's curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

7th Grade Math

Seventh-grade math covers a range of topics that lay the groundwork for more advanced mathematical concepts encountered in later grades. This includes:

Ratios and Proportional Relationships:
- Understanding and using ratios to solve problems
- Working with rates and unit rates
- Solving proportion problems, including those involving percentages
Number System:
- Performing arithmetic operations with rational numbers, including integers, fractions, and decimals
- Understanding and applying concepts of negative numbers in various contexts
- Solving problems involving absolute value
Expressions and Equations:
- Simplifying and evaluating algebraic expressions
- Solving one-step and two-step linear equations and inequalities
- Understanding and applying properties of operations to generate equivalent expressions
Geometry:
- Solving problems involving scale drawings
- Understanding and using properties of two- and three-dimensional shapes
- Calculating the area, surface area, and volume of geometric figures
- Understanding and using the concepts of angle relationships and constructing geometric figures
Statistics and Probability:
- Analyzing and interpreting data sets
- Understanding and calculating measures of central tendency (mean, median, mode) and variability (range, interquartile range)
- Using probability models to predict outcomes and solve problems
Functions:
- Introduction to the concept of functions and their representations

Seventh-grade math aims to deepen students' understanding of fundamental mathematical principles and to develop their ability to apply these concepts to solve real-world problems. It also serves as a crucial stepping stone to the more complex topics they will encounter in 8th grade and beyond.

I use Maneuvering the Middle's curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

8th Grade Math

Eighth-grade math encompasses a variety of mathematical concepts that build on the foundational knowledge acquired in earlier grades. 8th-grade math includes:

Algebra:
- Solving linear equations and inequalities
- Understanding and using functions
- Working with exponents and radicals
- Simplifying and factoring algebraic expressions
- Solving systems of equations
Geometry:
- Understanding congruence and similarity
- Working with the Pythagorean theorem
- Solving problems involving the volume and surface area of geometric shapes
- Understanding and applying the properties of angles, triangles, and circles
Statistics and Probability:
- Analyzing and interpreting data
- Understanding probability concepts and calculations
- Working with measures of central tendency (mean, median, mode) and variability (range, interquartile range, standard deviation)
Number Sense and Operations:
- Working with rational and irrational numbers
- Performing arithmetic operations with fractions, decimals, and percentages
- Understanding and applying scientific notation
Functions:
- Understanding the concept of a function and its notation
- Analyzing and interpreting linear functions
- Exploring non-linear functions such as quadratic functions

8th-grade math serves as a preparation for Integrated Math 1 in high school.

I use Maneuvering the Middle's curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

High School Courses

In my experience with high school math instruction, I've observed the significant benefits of the Integrated Math Pathway. It promotes a more cohesive understanding and progression of mathematical skills among students. With five years of teaching Integrated Math courses and two years instructing 8th grade math to prepare students for the Integrated Math curriculum, I've seen firsthand the importance of building a strong foundation during the middle grades. Having navigated through the traditional math curriculum during my own high school years, including separate years of Algebra 1, Geometry, and Algebra 2, I firmly believe that the Integrated approach offers students a smoother journey in comprehending math compared to traditional methods.

What is the Integrated Math Pathway?

The Integrated Math Pathway is an approach to teaching high school mathematics that blends topics from algebra, geometry, statistics, and sometimes other areas of math across multiple years. This approach contrasts with the traditional pathway, where students typically study these subjects in isolation (e.g., Algebra I in 9th grade, Geometry in 10th grade, Algebra II in 11th grade). In the Integrated Math Pathway, students encounter a mix of these subjects each year, progressively deepening their understanding and skills. This approach aims to make connections between different mathematical concepts more explicit and relevant.

Benefits of the Integrated Pathway

Connections Across Topics: Students see how algebra, geometry, and statistics are interconnected, which can enhance understanding and retention.
Reinforcement and Depth: Key concepts are revisited and built upon each year, allowing for deeper understanding and reinforcement.
Relevance and Application: Integrated courses often emphasize real-world applications of math, helping students see the relevance of what they are learning.

9th Grade Math: INTEGRATED MATH 1 (IM1) Only available for tutoring beginning January 2025!

Comparable to Traditional Algebra 1

Integrated Math 1 covers a blend of algebra, geometry, and statistics concepts, similar to what students would encounter in a traditional Algebra I course with some additional elements of Geometry and introductory Statistics. The specific topics include:

Algebra

Linear Equations and Inequalities:
- Solving single-variable linear equations and inequalities
- Understanding and applying properties of equality and inequality
- Graphing linear equations and inequalities on the coordinate plane
- Solving systems of linear equations (graphically and algebraically)
Functions:
- Understanding the concept of a function and using function notation
- Representing functions as graphs, tables, and equations
- Identifying linear functions and understanding their properties
Exponential Functions:
- Introduction to exponential growth and decay
- Comparing linear and exponential models

Geometry

Geometric Transformations:
- Performing and understanding transformations such as translations, rotations, reflections, and dilations on the coordinate plane
- Exploring the properties of transformations and their effects on geometric figures
Basic Geometric Concepts:
- Understanding and using geometric definitions and properties
- Working with angles, lines, and basic shapes

Statistics and Probability

Descriptive Statistics:
- Summarizing and interpreting data using measures of central tendency (mean, median, mode) and measures of variability (range, interquartile range)
- Representing data graphically using histograms, box plots, and scatter plots
Introduction to Probability:
- Understanding basic probability concepts
- Calculating simple probabilities and using probability models

Summary

Integrated Math 1 combines elements from Algebra, Geometry, and Statistics to provide a comprehensive foundation in high school mathematics. It aims to build a cohesive understanding by making connections across different mathematical domains, preparing students for the more advanced integrated courses (Integrated Math 2 and 3) in subsequent years. The curriculum aligns with the Common Core State Standards for Mathematics, ensuring that students develop critical thinking and problem-solving skills through an integrated approach.

I use parts of Maneuvering the Middle's Algebra 1 curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

I also use parts of All Things Algebra's Geometry curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

10th Grade Math: INTEGRATED MATH 2 (IM2) - Only available for tutoring for 24/25 school year!

Comparable to Traditional Geometry & parts of Algebra 2

PLEASE NOTE: I am only available for IM2 tutoring for 24/25 school year!

Integrated Math 2 continues the integrated approach to high school mathematics, combining topics from algebra, geometry, and statistics. It builds upon the concepts introduced in Integrated Math 1, offering a deeper and more complex exploration of mathematical principles. Here are the key topics covered:

Algebra

Quadratic Functions and Equations:
- Understanding the properties of quadratic functions
- Graphing quadratic functions and interpreting key features (vertex, axis of symmetry, intercepts)
- Solving quadratic equations by factoring, completing the square, and using the quadratic formula
- Exploring the relationships between the coefficients of a quadratic equation and the shape of its graph
Polynomials:
- Performing operations with polynomials (addition, subtraction, multiplication)
- Factoring polynomials and solving polynomial equations
- Understanding the Remainder Theorem and Factor Theorem

Geometry

Similarity and Congruence:
- Understanding and proving triangle congruence criteria (SSS, SAS, ASA, AAS, and HL)
- Exploring similarity in terms of transformations and using similarity theorems
- Solving problems involving similar triangles and other similar figures
Right Triangle Trigonometry:
- Understanding and using trigonometric ratios (sine, cosine, tangent) to solve problems involving right triangles
- Applying the Pythagorean Theorem and its converse
Properties of Circles:
- Exploring the properties and equations of circles
- Understanding and applying theorems about angles and segments in circles (e.g., central angles, inscribed angles, chords, tangents, and secants)
Geometric Transformations:
- Further exploration of transformations and their properties
- Compositions of transformations and their effects on figures

Statistics and Probability

Probability and Statistics:
- Extending understanding of probability, including compound events and probability rules
- Analyzing and interpreting data using more advanced statistical methods
- Understanding and applying concepts of conditional probability and independence

Summary

Integrated Math 2 builds on the foundation laid in Integrated Math 1 by deepening students' understanding of algebraic and geometric concepts and introducing more complex ideas in statistics and probability. The course is designed to help students make connections between different areas of mathematics, reinforcing their skills and preparing them for the even more advanced topics covered in Integrated Math 3. This integrated approach aligns with the Common Core State Standards, ensuring that students develop a well-rounded and interconnected understanding of mathematics.

I use parts of Maneuvering the Middle's Algebra 1 curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE.

I also use parts of All Things Algebra's Geometry and Algebra 2 curriculum to organize and deliver material for this course. You can see their standards and units by clicking HERE (Geometry) and HERE (Algebra 2).

After Integrated Math 2 students would go on to take Integrated Math 3, then AP Calculus or AP Statistics. I currently do not offer Integrated Math 3, but hope to in the future!

What if my student plans to go to an in-person high school?

How can I make sure they are prepared for their math courses if the high school does not follow the Integrated Pathway?

My 8th grade course will definitely prepare them to go into Algebra 1 for 9th grade, which would be the regular 9th grade math course for a school who does not use Integrated Math.

If your student is more advanced in math, then they would be going into Geometry in 9th grade (assuming they pass the school's entrance exams for advanced math if they have them). If this is the case, your student can take a higher math class with me to prepare them for their advanced track in high school!

Please feel free to email me with any questions and I can make sure your student is placed in the correct math class and help you with any concerns you may have.

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Home School Course Offerings

I am happy to say that MathChamps is officially an approved vendor with Heartland Charter, Yosemite Valley Charter, and Monarch River Academy!

Table of Contents

Online Class Schedule

COST

HEARTLAND MONTHLY PAYMENTS & PROCURIFY ORDER DUE DATES

Fall Semester (8/19-12/19)

Spring Semester (1/21-5/30)

Overview and Expectations

A-G Approved Math Guides

Virtual Classes

Google Classroom

Math Handouts

DeltaMath

Khan Academy

IXL

Notebooks & Whiteboards

Participation

6th Grade Math

7th Grade Math

8th Grade Math

High School Courses

What is the Integrated Math Pathway?

Benefits of the Integrated Pathway

9th Grade Math: INTEGRATED MATH 1 (IM1) Only available for tutoring beginning January 2025!

*Comparable to Traditional Algebra 1*

Algebra

Geometry

Statistics and Probability

Summary

10th Grade Math: INTEGRATED MATH 2 (IM2) - Only available for tutoring for 24/25 school year!

*Comparable to Traditional Geometry & parts of Algebra 2*

Algebra

Geometry

Statistics and Probability

Summary

After Integrated Math 2 students would go on to take Integrated Math 3, then AP Calculus or AP Statistics. I currently do not offer Integrated Math 3, but hope to in the future!

What if my student plans to go to an in-person high school?

How can I make sure they are prepared for their math courses if the high school does not follow the Integrated Pathway?

Comparable to Traditional Algebra 1

Comparable to Traditional Geometry & parts of Algebra 2