<![CDATA[Math - BLOG]]>

<![CDATA[Math - BLOG]]>Sat, 21 Feb 2026 16:07:06 -0800Weebly<![CDATA[Introducing Integer Operations: Visual Models as a Bridge to Algebra]]>Fri, 20 Feb 2026 08:00:00 GMThttps://www.saintgeorgemathschool.com/blog/introducing-integer-operations-visual-models-as-a-bridge-to-algebra $Picture$

When students first encounter integers, the leap from counting numbers to negative values can feel like stepping into a new world. Operations such as adding and subtracting positive and negative numbers are more than just new rules—they're an early invitation into algebraic thinking.

Visual Models: Making Sense of Integers
One of the most effective ways to help students grasp integer operations is through visual models. Number lines and colored counters are two common tools. Imagine a number line stretching from negative ten to positive ten. Adding a positive number means moving right; adding a negative number means moving left. Suddenly, subtraction isn't just "taking away"—it's movement, direction, and distance.
With colored counters, positives might be red and negatives blue. Pairing a red and a blue counter creates a "zero pair," which visually demonstrates how positive and negative quantities cancel each other out. This hands-on, concrete model demystifies problems like –3 + 2 and 5 – (–4), making the results less abstract and more intuitive.

Why Visual Models Matter for Algebra
Arithmetic is about getting answers; algebra is about understanding relationships. Visual models help students see patterns and develop reasoning skills, not just rote procedures. When students can explain why –2 + 5 = 3 using a number line, they're building the conceptual foundation for solving equations like x + 5 = 3. The same logic that governs integer operations underpins virtually every algebraic manipulation they'll encounter later.

The Takeaway
Teaching integer addition and subtraction with visual models is more than a classroom trick. It's a bridge—a transition from arithmetic's certainty to algebra's flexibility. By grounding operations in visuals and meaning, we prepare students for the abstract thinking that algebra demands, making the journey less daunting and a lot more logical.

Check the Blog’s PRE-ALGEBRA section for the Practice Packet.

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]]><![CDATA[Year Round Instructions Starting Sept 15th, 2020]]>Mon, 24 Aug 2020 00:20:59 GMThttps://www.saintgeorgemathschool.com/blog/year-round-instructions-starting-sept-15th-2020
Join Mrs. Lupu this year for two new programs:

Math Coaching Program: designed to maintain and refresh knowledge learned during the school year. This will include explaining/reteaching new concepts/skills learned in class and homework support.

Math Coaching Program, for grades: 1st to 7th

Year Round offered in three sessions:

Fall session , September 15 - December 15, 2020
Winter session, January 15 - March 15, 2020
Spring session, March 15-May 15, 2020,

WHAT YOU WILL GET:

Homework support and answers to private messaging, daily (Monday-Thursday) from 6:00 pm to 7:00 pm using google classroom (text)
Fridays off
Customized slide shows with each topic explained
Price : $480 total cost per 3 month session ($ 40 per week)

Math Enrichment: an all new program designed to consolidate and enrich math knowledge necessary for the next school year.

Math Enrichment Program, for grades/levels: pre-algebra and algebra students (grades 5th to 8th)

Year Round offered in three sessions:

Fall session, September 15 - December 15, 2020
Winter session, January 15 - March 15, 2020
Spring session, March 15 - May 15, 2020

WHAT YOU WILL GET:

Mondays and Tuesdays : 5th and 6th grade live google meet instruction
Wednesdays and Thursdays : 7th and 8th grade live google meet instruction
Fridays off
Price : $480 total cost ($40/week)

Schedules:

Math Coaching Program: is designed to maintain and refresh knowledge learned during the school year. This will include explain/reteach new concepts/skills learned in class and home work support

Private messages answered, home work support, daily (Monday-Thursday) from 6:00 pm to 7:00 pm using google classroom (text)
Fridays off

Math Enrichment: are designed to consolidate and enrich math knowledge necessary for the next school year

Mondays and Tuesdays : 5th and 6th grade live google meet instruction
Wednesdays and Thursdays : 7th and 8th grade live google meet instruction
Fridays off

How does it work?

If you would like to enroll in online classes, please follow the steps below:

Complete the registration form under the YEAR ROUND K-8 tab and pay for your selected camp using the PayPal button at the bottom of the page, enrichment and coaching materials and services will not be provided without payment!

Complete the registration form found under Year Round Instruction - Registration form and pay for your selected camp using the PayPal button at the bottom of the page, Instruction materials and services will not be provided without payment!
https://promath.weebly.com/ will be used as the Coaching and Math Summer Camps (Junior and Senior) official website
saintgeorgemathschool@gmail.com will be used for google classroom and communication. Live,text and office hours are included.
SaintGeorgeMathSchool YouTube channel will be used for instruction
Problems completed by students will be turned in via Google Classroom to the teacher for corrections and feedback. Extra practice for each topic can be assigned by request.
An invitation to use google classroom will be sent to your email address once you are enrolled.
Please note: You need to have a google email address(account) in order to be able to participate in google classroom.
All the details of how to access the google classroom will be sent in an email once you are enrolled.

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]]><![CDATA[2020 Math Summer Camp]]>Wed, 10 Jun 2020 18:38:04 GMThttps://www.saintgeorgemathschool.com/blog/june-10th-2020Overview:

Join Mrs. Lupu this summer for two new programs:

Math Coaching Program: is designed to maintain and refresh knowledge learned during the school year

Senior Math Summer Camp, Junior Math Summer Camp: are designed to consolidate and enrich math knowledge necessary for the next school year

Math Coaching Program : June 29th- July 24th (one month)

Offered for Grades: 1st to 7th
WHAT YOU WILL GET:

Guided practice/coaching camp: materials, customized instruction and practice provided weekly
Private questions and answers - office hours, one hour a day on Tuesdays and Thursdays from 10:00 am to 11:00 am (live) for questions and answers using google meet
Private messages answered daily (Monday-Thursday) from 11:00 am to 12:00 pm using google classroom (text)
Price : $ 100 total cost ( $25 per week)

Senior Math Summer Camp: July 27-Aug.14

Offered for Grades: 5th,6th and 7th
WHAT YOU WILL GET:
Daily Summer camp one hour/day, interactive : 30 minutes new material and 30 minutes practice/review from previous lesson - live online lesson from 10:00 am to 11:00 am as follows:

Mondays and Tuesdays : 5th and 6th grade
Wednesdays and Thursdays : 7th grade
Fridays off
Private questions and answers - office hours using google meet (live) one hour a day from 11:00 am to 12:00 pm open for all grades
Private questions via google classroom answered daily to all students from 1:00 pm -2:00 pm

Price : $180 total cost ($60/week)

Junior Math Summer Camp: July 27-Aug.14

Offered for Grades: 1st,2nd,3rd and 4th
WHAT YOU WILL GET:

Guided practice/coaching camp: materials and customized instruction and practice provided weekly
Private messages answered daily (Monday-Thursday) from 12:00 pm to 1:00 pm using google classroom (text)
Price : $ 75 total cost ( $25 per week)

Schedules:

Coaching: June 29- July 24

Offered for grades: 1st-7th

Tuesdays 10-11 (live) google meet for answer and questions
Thursdays 10-11 (live) google meet for answer and questions
Monday-Thursday: (text) Private messages answered daily from 11:00 to 12:00 (text) using google classroom

Senior Math Summer Camp: July 27-Aug.14

Offered for Grades: 5th,6th and 7th

Monday and Tuesday : 10:00 am to 11:00 live , 5th and 6th grade, online lesson using google meet
Wednesday and Thursday: 10:00 am to 11:00 live ,7th grade, online using google meet
Monday- Thursday: 11:00 am to 12:00 pm( live) , office hours using google meet one hour a day open for all grades
Monday-Thursday: 1:00 pm-2:00 pm (text), Private questions via google classroom answered daily
Friday : off

Junior Math Summer Camp: July 27-Aug.14
Offered for Grades: 1st,2nd,3rd and 4th

Weekly :Guided practice/coaching camp: materials and customized instruction and practice provided weekly
(Monday-Thursday) 12:00 pm to 1:00 pm (text) Private messages answered daily using google classroom
Friday : off

How does it work?

If you would like to enroll in online summer camp please follow the steps below:

Complete the registration form under the summer camp tab, and pay for your selected camp using the PayPal button at the bottom of the page, camp materials and services will not be provided without payment!

https://promath.weebly.com/ will be used as the Coaching and Math Summer Camps (Junior and Senior) official website
saintgeorgemathschool@gmail.com will be used for google classroom and communication. Live meetings and office hours included.
SaintGeorgeMathSchool YouTube channel will be used for instruction
Everyday, using google classroom, students will practice the topic of the week. Only few problems will be assigned per day. Extra practice will be offered as well.
Problems completed by students will be turned in via Google Classroom to the teacher for corrections and feedback. Extra practice for each topic can be assigned by request.
An invitation to use google classroom will be sent to your email address once you are enrolled.
Please note: You need to have a google email address(account) in order to be able to participate in google classroom.
All the details of how to access the google classroom will be sent in an email once you are enrolled.

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]]><![CDATA[Intro to Algebra-Online Summer Math Camp-June 18th to August 10th, 2018]]>Sat, 02 Jun 2018 07:00:00 GMThttps://www.saintgeorgemathschool.com/blog/intro-to-algebra-online-summer-math-camp-saintgeorgemathschoolOnline Summer 2018 Math Camp-Intro to Algebra
Convenient to go summer math camp
Claudia Lupu
Middle School Honors Math Teacher
Fairfax, Va.

Overview

A total of 8 topics will be practiced during the summer of 2018 from June 18th to August 10th (see curriculum for dates and details).
Each week, a lesson will be presented along with a YouTube tutorial (click here for the SaintGeorgeMathSchool channel).
Everyday, using google classroom, students will practice the topic of the week. Only 5 problems are assigned per day.
Problems completed by students will be turned in via Google Classroom to the teacher for corrections and feedback. Extra practice for each topic can be assigned by request.

How does it work? Please see Summer Camp/Registration for details.

Goals

Have students learn or review algebraic concepts
During summer break students will have the chance to practice algebraic concepts with teacher support that will keep them connected with math.
Every week work will be checked and feedback with recommendations will be provided.
Small amounts of problems and customized instruction will make the class enjoyable.
Teacher support and guidance will assure students progress.

Curriculum and Schedule

Week 1, June 18th-22nd

Translating words into symbols and equations

Week 2, June 25th-29th

Integers - using integers on a number line, opposites and absolute value

Week 3, July 2nd-6th

Using real numbers properties to add and subtract integers. Application:
Solving addition and subtraction equations.

Week 4, July 9th-13th

Using real numbers properties to multiply and divide integers. Application:
Solving multiplication and division equations.

Week 5, July 16th-20th

Exponents and Power of Monomials

Week 6, July 23rd-27th

Exponents and Power of Monomials

Week 7, July 30th -Aug. 3rd

Multiply polynomials by monomials(distributive property)

Week 8, Aug. 6th-10th

Multiply Polynomials

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]]><![CDATA[Getting Ready for Algebra]]>Thu, 20 Apr 2017 02:30:25 GMThttps://www.saintgeorgemathschool.com/blog/getting-ready-for-algebraIt is essential for students to get ready for algebraic thinking at an early age.]]>