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Pre-Algebra

First semester: 8/17/2024-12/14/2024 16lessons  pre algebra 1

Second semester 1/4/2024-5/31/2024 18lessons  pre algebra 2

No class: 8/31, 11/23,11/30, 12/21,12/28, 2/15, 3/15, 3/22, 4/12

Book: Art of problem solving

从小学数学(整合了算术、基础几何和基础统计)到中学数学(包括代数、几何和统计)的过渡是学生数学学习生涯中至关重要的一步。成功实现从具体思维到抽象思维的转变将极大地影响学生是否能够在未来的高阶数学课程中取得成功。然而,许多小学生很少有机会接触抽象概念并培养这种思维能力,这将阻碍他们对代数的理解,进而影响他们的逻辑推理能力和问题解决技能的发展。

为了填补这一空白,如意学苑将开设 Prealgebra 课程。本课程的教学内容将基于 Prealgebra(Art of Problem Solving)。我们的目标是引导学生从具体到抽象,培养他们的抽象思维能力,为应对更高级别的数学挑战做好准备。

加入我们,让我们共同帮助学生建立抽象逻辑思维能力,顺利完成从小学到中学数学的过渡,为他们在代数及更高级别数学学科中取得成功奠定基础。立即报名,踏上通往数学卓越的旅程!


The transition from elementary mathematics (integrating arithmetic, basic geometry, and basic statistics) to secondary mathematics (including algebra, geometry, and statistics) is a crucial step in students' mathematical learning journey. Successfully transitioning from concrete thinking to abstract thinking will greatly influence whether students can succeed in future advanced mathematics courses. However, many elementary students have limited opportunities to engage with abstract concepts and develop this type of thinking ability. This lack of exposure hinders their understanding of algebra and subsequently impacts their logical reasoning skills and problem-solving abilities.

To address this gap, Ruyi Academy will offer a Prealgebra course.  The course content will be based on Prealgebra (Art of Problem Solving). Our goal is to guide students from the concrete to the abstract, nurturing their abstract thinking abilities and preparing them to tackle higher-level mathematical challenges.

Join us in helping students establish abstract logical thinking skills, smoothly transition from elementary to secondary mathematics, and lay the foundation for success in algebra and other advanced mathematical disciplines. Enroll now and embark on the journey toward mathematical excellence!




Session 1: Introduction to Pre-Algebra

  • Course objectives and expectations

  • Importance of abstract thinking in mathematics

  • Introduction to Mathematical Systems

Session 2: Building Blocks of Algebra

  • Introduction to variables and constants

  • Addition ( Community property and  associative property)

  • Multiplication ( Community property ,associative property, and distributive property) 

  • Negation (Definition and negation properties)

  • Subtraction (Definition and subtraction properties)

  • Reciprocal ( (Definition and Reciprocal properties)

  • Division ((Definition and division properties)

Session 3: Exponents

  • Exponents as repeated multiplication

  • Zero as an Exponent

  • Negative Exponents

Session 4: Understanding Terms and Expressions 

  • Introduction to terms like coefficients and terms

  • Introduction to expressions  

  • Evaluating algebraic expressions

  • Introduction of combine like terms


Session 5:Understanding Equations and Inequalities

  • Basics of equation-solving

  • Using inverse operations to solve simple equations

  • Practice problems with various equation types

  • Understanding inequality symbols and notation

  • Solving and graphing inequalities on a number line


Session 6:Fractions

  • What is a Fraction? Multiplying Fractions Dividing by a Fraction

  • Raising Fractions to Powers Simplest Form of a Fraction Comparing Fractions

  • Adding and Subtracting Fractions

  • Mixed Numbers

SESSION7: Decimals

  • Arithmetic with Decimals Rounding

  • Decimals and Fractions

  • Repeating Decimals

SESSION 8: Ratios, Conversions, and Rates

  • What is a Ratio?

  •  Multi-way Ratios

  • Proportions

  • Conversions

  • Speed

  • Other Rates

SESSION 9: Percents

  • What is a Percent?

  • Word Problems

  • Percent Increase and Decrease

SESSION 10: Square Roots


  • From Squares to Square Roots

  • Square Roots of Non-square Integers 

  • Arithmetic with Square Roots

SESSION 11:Number Theory

  • Multiples

  • Divisibility Tests

  • Prime Numbers

  • Prime Factorization

  •  Least Common Multiple

  • Divisors

  • Greatest Common Divisor

SESSION 12: Data and Statistics

  • Basic Statistics

  • Limits of Basic Statistics

  • Tables, Graphs, and Charts

SESSION 13: Counting



9:00-10:30
Saturday 8/17/2024

请在确认您的注册之前阅读我们的政策。注册后,我们将默认您同意我们的所有政策。
Please read our policy before confirming your registration. After registration, we will assume that you agree to all our policies.

Pre-Algebra

First semester: 8/17/2024-12/14/2024 16lessons  pre algebra 1

Second semester 1/4/2024-5/31/2024 18lessons  pre algebra 2

No class: 8/31, 11/23,11/30, 12/21,12/28, 2/15, 3/15, 3/22, 4/12

Book: Art of problem solving

从小学数学(整合了算术、基础几何和基础统计)到中学数学(包括代数、几何和统计)的过渡是学生数学学习生涯中至关重要的一步。成功实现从具体思维到抽象思维的转变将极大地影响学生是否能够在未来的高阶数学课程中取得成功。然而,许多小学生很少有机会接触抽象概念并培养这种思维能力,这将阻碍他们对代数的理解,进而影响他们的逻辑推理能力和问题解决技能的发展。

为了填补这一空白,如意学苑将开设 Prealgebra 课程。本课程的教学内容将基于 Prealgebra(Art of Problem Solving)。我们的目标是引导学生从具体到抽象,培养他们的抽象思维能力,为应对更高级别的数学挑战做好准备。

加入我们,让我们共同帮助学生建立抽象逻辑思维能力,顺利完成从小学到中学数学的过渡,为他们在代数及更高级别数学学科中取得成功奠定基础。立即报名,踏上通往数学卓越的旅程!


The transition from elementary mathematics (integrating arithmetic, basic geometry, and basic statistics) to secondary mathematics (including algebra, geometry, and statistics) is a crucial step in students' mathematical learning journey. Successfully transitioning from concrete thinking to abstract thinking will greatly influence whether students can succeed in future advanced mathematics courses. However, many elementary students have limited opportunities to engage with abstract concepts and develop this type of thinking ability. This lack of exposure hinders their understanding of algebra and subsequently impacts their logical reasoning skills and problem-solving abilities.

To address this gap, Ruyi Academy will offer a Prealgebra course.  The course content will be based on Prealgebra (Art of Problem Solving). Our goal is to guide students from the concrete to the abstract, nurturing their abstract thinking abilities and preparing them to tackle higher-level mathematical challenges.

Join us in helping students establish abstract logical thinking skills, smoothly transition from elementary to secondary mathematics, and lay the foundation for success in algebra and other advanced mathematical disciplines. Enroll now and embark on the journey toward mathematical excellence!




Session 1: Introduction to Pre-Algebra

  • Course objectives and expectations

  • Importance of abstract thinking in mathematics

  • Introduction to Mathematical Systems

Session 2: Building Blocks of Algebra

  • Introduction to variables and constants

  • Addition ( Community property and  associative property)

  • Multiplication ( Community property ,associative property, and distributive property) 

  • Negation (Definition and negation properties)

  • Subtraction (Definition and subtraction properties)

  • Reciprocal ( (Definition and Reciprocal properties)

  • Division ((Definition and division properties)

Session 3: Exponents

  • Exponents as repeated multiplication

  • Zero as an Exponent

  • Negative Exponents

Session 4: Understanding Terms and Expressions 

  • Introduction to terms like coefficients and terms

  • Introduction to expressions  

  • Evaluating algebraic expressions

  • Introduction of combine like terms


Session 5:Understanding Equations and Inequalities

  • Basics of equation-solving

  • Using inverse operations to solve simple equations

  • Practice problems with various equation types

  • Understanding inequality symbols and notation

  • Solving and graphing inequalities on a number line


Session 6:Fractions

  • What is a Fraction? Multiplying Fractions Dividing by a Fraction

  • Raising Fractions to Powers Simplest Form of a Fraction Comparing Fractions

  • Adding and Subtracting Fractions

  • Mixed Numbers

SESSION7: Decimals

  • Arithmetic with Decimals Rounding

  • Decimals and Fractions

  • Repeating Decimals

SESSION 8: Ratios, Conversions, and Rates

  • What is a Ratio?

  •  Multi-way Ratios

  • Proportions

  • Conversions

  • Speed

  • Other Rates

SESSION 9: Percents

  • What is a Percent?

  • Word Problems

  • Percent Increase and Decrease

SESSION 10: Square Roots


  • From Squares to Square Roots

  • Square Roots of Non-square Integers 

  • Arithmetic with Square Roots

SESSION 11:Number Theory

  • Multiples

  • Divisibility Tests

  • Prime Numbers

  • Prime Factorization

  •  Least Common Multiple

  • Divisors

  • Greatest Common Divisor

SESSION 12: Data and Statistics

  • Basic Statistics

  • Limits of Basic Statistics

  • Tables, Graphs, and Charts

SESSION 13: Counting



9:00-10:30
Saturday 8/17/2024

$1815.00