数学スキルをマスターする：上級小学校向けの必須概念

This engaging math curriculum is designed to align with national standards. It emphasizes smaller bites of content to enhance understanding while maintaining smaller class sizes that foster individualized attention and support. Each week focuses on a specific topic, allowing learners to develop a deeper comprehension of the material. With an emphasis on collaborative learning and real-world applications, this curriculum can help students across various grade levels build confidence and master skills in areas like multi-digit operations, fractions, decimals, and introductory statistics.

Optional homework is provided to meet the diverse needs of families, allowing flexibility while encouraging practice and reinforcement. We offer constructive feedback on all assignments submitted on time, ensuring that learners receive the support they need to succeed in a supportive environment where math becomes enjoyable and accessible for everyone.
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Week of September 2
Topic: Understanding Place Value (up to billions and down to thousandths)
Skills: Identifying the value of digits, writing numbers in standard, expanded, and word form.

Week of September 9
Topic: Multi-Digit Addition (Part 1: No Regrouping)
Skills: Using standard algorithms to add multi-digit numbers without regrouping.

Week of September 16
Topic: Multi-Digit Addition (Part 2: With Regrouping)
Skills: Using standard algorithms to add multi-digit numbers with regrouping.

Week of September 23
Topic: Multi-Digit Subtraction (Part 1: No Regrouping)
Skills: Using standard algorithms to subtract multi-digit numbers without regrouping.

Week of September 30
Topic: Multi-Digit Subtraction (Part 2: With Regrouping)
Skills: Using standard algorithms to subtract multi-digit numbers with regrouping.

Week of October 7
Topic: Multiplication (Part 1: Understanding Concepts)
Skills: Understanding multiplication as repeated addition, arrays, and area models.

Week of October 14
Topic: Multiplication (Part 2: Estimation Strategies)
Skills: Estimating products using rounding and mental math.

Week of October 21
Topic: Multiplication (Part 3: Multi-Digit Multiplication)
Skills: Multiplying 2-digit by 1-digit and 2-digit by 2-digit numbers using the standard algorithm.

Week of October 28
Topic: Division (Part 1: Understanding Concepts)
Skills: Understanding division as repeated subtraction and sharing equally.

Week of November 4
Topic: Division (Part 2: Estimation Strategies)
Skills: Estimating quotients using rounding and mental math.

Week of November 11
Topic: Division (Part 3: Long Division with 1-Digit Divisors)
Skills: Dividing 3- and 4-digit numbers by 1-digit divisors using the long division algorithm.

Week of November 18
Topic: Division (Part 4: Interpreting Remainders)
Skills: Solving word problems involving division and interpreting remainders.

Week of November 25
Topic: Fractions (Part 1: Equivalent Fractions)
Skills: Identifying and creating equivalent fractions using models and number lines.

Week of December 2
Topic: Fractions (Part 2: Simplifying Fractions)
Skills: Simplifying fractions by finding the greatest common factor (GCF).

Week of December 9
Topic: Fractions (Part 3: Comparing and Ordering Fractions)
Skills: Using number lines and common denominators to compare and order fractions.

Week of December 16
Topic: Adding and Subtracting Fractions (Part 1: Like Denominators)
Skills: Adding and subtracting fractions with like denominators.

Week of January 6
Topic: Adding and Subtracting Fractions (Part 2: Unlike Denominators)
Skills: Finding common denominators to add and subtract fractions with unlike denominators.

Week of January 13
Topic: Multiplying Fractions by Whole Numbers
Skills: Using models and algorithms to multiply fractions by whole numbers.

Week of January 20
Topic: Dividing Unit Fractions by Whole Numbers
Skills: Using visual models to divide unit fractions by whole numbers.

Week of January 27
Topic: Decimal Place Value (Part 1: Tenths and Hundredths)
Skills: Understanding the place value of tenths and hundredths, comparing and ordering decimals.

Week of February 3
Topic: Decimal Place Value (Part 2: Thousandths)
Skills: Understanding the place value of thousandths, comparing and ordering decimals.

Week of February 10
Topic: Adding and Subtracting Decimals (Part 1: Tenths and Hundredths)
Skills: Adding and subtracting decimals to hundredths, aligning decimal points.

Week of February 17
Topic: Adding and Subtracting Decimals (Part 2: Thousandths)
Skills: Adding and subtracting decimals to thousandths, aligning decimal points.

Week of February 24
Topic: Multiplying Decimals by Whole Numbers
Skills: Using place value and standard algorithms to multiply decimals by whole numbers.

Week of March 3
Topic: Dividing Decimals by Whole Numbers
Skills: Dividing decimals by whole numbers using place value understanding.

Week of March 10
Topic: Introduction to Expressions and Equations (Part 1: Understanding Variables)
Skills: Understanding and using variables to represent unknowns in expressions.

Week of March 17
Topic: Introduction to Expressions and Equations (Part 2: Evaluating Expressions)
Skills: Evaluating simple expressions using substitution.

Week of March 24: Order of Operations (PEMDAS)  
Skills: Solving multi-step problems using the order of operations.  

Week of April 1: Classifying 2D Shapes  
Skills: Identifying and classifying polygons based on their properties.  

Week of April 8: Perimeter and Area of Rectangles  
Skills: Using formulas to calculate the perimeter and area of rectangles.  

Week of April 15: Volume of Rectangular Prisms  
Skills: Calculating the volume of rectangular prisms using the formula V = l × w × h.  

Week of April 22: Reading and Creating Graphs  
Skills: Interpreting data from bar graphs and line plots, and creating graphs from data sets.  

Week of April 29: Mean (Part 1: Understanding Mean)  
Skills: Finding the mean of a set of numbers using addition and division.  

Week of May 6: Median (Part 1: Understanding Median)  
Skills: Finding the median of a set of numbers by ordering data.  

Week of May 13: Range (Part 1: Understanding Range)  
Skills: Finding the range of a set of numbers by calculating the difference between the highest and lowest values.  

Week of May 20: Mean, Median, and Range (Review and Application)  
Skills: Comparing and contrasting mean, median, and range, and solving real-world problems involving all three.  

Week of May 27: Introduction to Probability  
Skills: Understanding simple probability and predicting outcomes.  


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Our classrooms are guided by a Socratic teaching approach, fostering critical thinking and encouraging open dialogue among learners. By facilitating engaging discussions and posing thought-provoking questions, students are able to explore topics more deeply and gain a comprehensive understanding of the material. 

Our class size does not exceed 4 learners. This allows for more personalized attention from the educator, ensuring that each learner's individual needs and learning styles are met. With a smaller group size, there is also more opportunity for discussion and collaboration among classmates, creating a supportive and engaging learning environment. Additionally, students may feel more comfortable and confident participating in discussions and activities in a smaller group setting.

We incorporate a mix of traditional methods such as videos and limited PowerPoint presentations to accommodate various learning styles as well. 

In addition, we gamify our lessons, as much as possible, to make learning fun and interactive for students. By adding elements of games and competition, we are able to keep learners engaged and motivated to participate in their education.

We also incorporate hands-on projects, wherever possible, to provide students with real-world application of their learning. Through these projects, students are able to apply their knowledge in practical ways and further enhance their understanding of the subject matter.

By designing this type of diverse classroom environment, utilizing multiple teaching methods, we effectively address the diverse learning styles of our learners.

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Please note we value mental health and want to prevent teacher burnout. With that said, we do take company wide breaks where there will not be any classes taught nor will we be answering emails. 

Please expect a delay in responses the following dates: 

2024:
August 19-August 25 (Summer Break)
November 27-29 (Thanksgiving Break)
December 23 - December 31 (Winter Break)

2025

January 1 - Jan 5 (Winter Break)
March 17 - March 23 (Spring Break)
April 19 - April 20 (Easter Break)
August 25-31st (Summer Break)

If you are enrolled, you will not be charged!

We will be returning all emails the day or two after we return. 

In addition, teachers may need time off outside of these breaks as emergencies do happen. We always try our best to give ample notice when we can. You will never be charged for a day that we cancel classes.

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Refund Policy:

We strictly adhere to Outschool's refund/reschedule policy for all of our classes. This means that once a class has been paid for, there will be no deviation from Outschool's guidelines. We do not offer refunds or rescheduling outside of what Outschool allows. 

Camera Policy:

All students are required to keep their camera turned on during the entire class. The only exception is those that have been verified by Outschool and have the verification badge.  

Contact info:

In compliance with Outschool's policies, we do not accept friend or contact requests from current or former families on any social networking site (Facebook, LinkedIn, etc.). We also do not provide or ask for any personal information such as email address or phone numbers.

We appreciate your understanding and cooperation with these policies.