Aurora, ON. Canada 🇨🇦Phone 1- (705)- 770- 0777
Email:applesmart.academy@gmail.com
WeChat ID 微信号:Applesmartacademy
Embedded Files
AppleSmart Academy Online Learning
AMC 8/10/12 Math 数学竞赛
Materials 教材
AMC8/10/12 Math 数学竞赛 （请点击下面每个课程的图片和链接到官方网站了解课本内容和购买纸书等）
The AMC tests are the first in a series of test to select the American International Mathematical Olympiad team. High scoring students on the AMC 10 or 12 are invited to take the American Invitational Mathematics Examination. Students who have a high AMC index, or a high score on both the AMCs and the AIME, are invited to take the United States of America Mathematics Olympiad, the national Olympiad of the United States. There, many high scorers go to the Math Olympiad Summer Program, which is divided into three "colors" depending on how high one scored. The highest color, black, consists of twelve students, six of whom will form the United States' IMO team.
AMC测试是用于选拔美国国际数学奥林匹克代表队的一系列测试中的第一项。在AMC 10或12中取得高分的学生将被邀请参加美国数学邀请赛。 AMC指数高或AMC和AIME分数高的学生将被邀请参加美国数学奥林匹克竞赛，即美国国家奥林匹克数学竞赛。在那里，许多高分选手参加数学奥林匹克夏季项目，该项目根据他们的分数分为三种“颜色”。最上面的颜色是黑色，由 12 名学生组成，其中 6 名将组成美国 IMO 队。
如果孩子是数学竞赛选手，那AOPS更是一座宝库；
AOPS的教材被奉为北美中学生数学竞赛必读/必学经典；
麻省理工大学的官网申请页面中是这样介绍AOPS的：
“在我们热爱专研数学的学生眼中，AOPS 是无法替代的学习资源。”
注意：表格中各课程的总时间不被定义为标准和必须的授课时间，由于每个班级学生的理解和数学基础不一样，所以老师在实际授课中使用的总授课时间可能会根据学生的不同程度而有所增加。
AMC 8 - G8 and under (8年级和8年级以下的学生）
The AMC 8 is a contest for students in grades 8 and below, hosted annually by the American Mathematics Competitions (AMC) to students all over the United States. Usually, high scoring students will be given a chance by their school to take the more challenging AMC 10 exam. However, there is no requirement for the AMC 10 besides the fact that you have to be 10 grade or below.
The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.
The material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition, some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.
Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8.
AMC 8 是一项针对 8 年级及以下学生的竞赛，由美国数学竞赛 (AMC) 每年向全美学生举办。通常，高分学生将有机会参加更具挑战性的 AMC 10 考试。但是，AMC 10 没有任何要求，除了您必须是10年级别或以下。
AMC 8 是一项包含 25 个问题、时长 40 分钟的多项选择的中学数学考试，旨在促进解决问题的技能的发展。 AMC 8 为中学生提供了一个机会，让他们培养对分析思维和数学的积极态度，这有助于未来的职业生涯。学生在低压和友好的环境中运用课堂技能来解决独特的问题挑战。
AMC 8 涵盖的材料包括典型中学数学课程的主题。可能的主题包括但不限于计数和概率、估计、比例推理、基本几何（包括毕达哥拉斯定理）、空间可视化、日常应用以及阅读和解释图表和表格。此外，后面的一些问题可能涉及线性或二次函数和方程、坐标几何以及传统代数入门课程中涵盖的其他主题。
比赛当天年龄在 14.5 岁以下、八年级以下且热衷于解决问题的学生有资格参加 AMC 8。
Recommended Courses（推荐课程）
Recommended Courses（推荐课程）
Prealgebra
Introduction to Geometry
Resources：
Resources：
Links (Past AMC 8 exams 历年的考试题和答案）
https://artofproblemsolving.com/wiki/index.php/AMC_8_Problems_and_Solutions
AMC 8 - Text books (教材介绍，请点击下面课程图片到官方网站了解课程教材内容和购买纸书)
Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.
《Prealgebra》预备代数为代数学习做好准备，并教授学生解决问题的技巧，为他们参加著名的中学数学竞赛（如 MATHCOUNTS、MOEMS 和 AMC 8）做好准备。
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
为 7-10 年级学生提供的具有挑战性的几何完整课程，包括相似三角形、全等三角形、四边形、多边形、圆形、时髦面积、点的幂、三维几何、变换、三角学入门等主题。
AMC 10 - G10 and under (10年级和10年级以下的学生）
The American Mathematics Contest 10 (AMC 10), along with the AMC 12, is one of the first exams in the series of exams used to challenge bright students, grades 10 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO).
High scoring AMC 10 and AMC 12 students are invited to take the American Invitational Mathematics Examination (AIME).
The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple-choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The AMC 10 is scored in a way that penalizes guesses. Correct answers are worth 6 points, incorrect questions are worth 0 points, and unanswered questions are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, unanswered questions were awarded 2.5 points. In 2006 and 2007, unanswered questions were awarded 2 points. Students that are in the top 2.5% of the AMC 10 contest are invited to take the AIME.[1]
The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.
The AMC 10/12 provides an opportunity for high school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. The AMC 10/12 is the first in a series of competitions that eventually lead all the way to the International Mathematical Olympiad
Recommended Courses（推荐课程）
Recommended Courses（推荐课程）
Introduction to Algebra
Introduction to Counting & Probability
Introduction to Geometry
Introduction to Numver Theory
Volume 1
Volume 2
Resources
Resources
Links (Past AMC 10 exams 历年的考试题和答案）) https://artofproblemsolving.com/wiki/index.php/AMC_10_Problems_and_Solutions
AMC 12
AMC 10 - Text books (教材介绍，请点击下面课程图片到官方网站了解课程教材内容和购买纸书)
A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
为 6-9 年级学生全面介绍代数主题，例如线性方程、比率、二次方程、特殊分解、复数、绘制线性和二次方程、线性和二次不等式、函数、多项式、指数和对数、绝对值、序列和系列等等！
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
为 7-10 年级的学生全面介绍计数和概率主题，例如排列、组合、帕斯卡三角形、几何概率、基本组合恒等式、二项式定理等。
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
为 7-10 年级学生提供的具有挑战性的几何完整课程，包括相似三角形、全等三角形、四边形、多边形、圆形、时髦面积、点的幂、三维几何、变换、三角学入门等主题。
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
为 7-10 年级的学生全面介绍数论，例如素数和合数、倍数和除数、素数分解及其用途、基数、模算术、整除规则、线性同余、如何培养数感以及更多的。
A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.
一本经典的问题解决教科书，适合 7-10 年级正在准备 MATHCOUNTS 和 AMC 8/10/12 等竞赛的学生。
A classic problem solving textbook for students in grades 9-12 who are preparing for advanced high school contests like the AMC 12, AIME, and the Harvard-MIT Mathematics Tournament.
一本经典的问题解决教材，适合 9 至 12 年级正在准备 AMC 12、AIME 和哈佛-麻省理工学院数学锦标赛等高级高中竞赛的学生。
Contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry. Examples and full solutions present clear concepts and provide helpful tips and tricks.
本书包含代数、计数、概率、数论和几何领域的 700 多个示例和问题。示例和完整的解决方案提出了清晰的概念，并提供了有用的提示和技巧，专为有数学天赋的学生制定的。
AMC 12 - G12 and under (12年级和12年级以下的学生）
The American Mathematics Contest 12 (AMC 12) is the first exam in the series of exams used to challenge bright students, grades 12 and below, on the path towards choosing the team that represents the United States at the International Mathematics Olympiad (IMO).
The AMC 12 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Ever since 2008, calculators have been banned from use during the test; however, calculators were never required to solve any problems, and students who did not use calculators were not disadvantaged.
The AMC 12 is scored in a way that penalizes guessing. Correct answers are worth 6 points, incorrect answers are worth 0 points, and unanswered questions are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, the number of points for an unanswered question was 2.5 points and before 2002 it was 2 points. Students that score over 100 points or in the top 5% of the AMC 12 contest are invited to take the AIME.
High scoring AMC 12 students are invited to take the more challenging American Invitational Mathematics Examination (AIME).
美国数学竞赛 12 (AMC 12) 是一系列考试中的第一项，旨在挑战 12 年级及以下的聪明学生，选出代表美国参加国际数学奥林匹克 (IMO) 的团队。
AMC 12 是一项包含 25 个问题、时长 75 分钟的多项选择题测试。随着考试的进行，问题的难度通常会增加。自2008年起，考试期间禁止使用计算器；然而，解决任何问题都不需要计算器，不使用计算器的学生也不会处于不利地位。
AMC 12 的评分方式是惩罚猜测。正确答案得 6 分，错误答案得 0 分，未回答问题得 1.5 分，总分为 150 分。 2002年至2006年，未回答问题得分为2.5分，2002年之前为2分。得分超过100分或在AMC 12竞赛中排名前5%的学生将被邀请参加AIME。
高分AMC 12学生将被邀请参加更具挑战性的美国数学邀请考试（AIME）。
Recommended Courses（推荐课程）
Recommended Courses（推荐课程）
Intermediate Algebra
Intermediate Counting & Probability
Precalculus
Volume 1
Resources:
Resources:
Links (Past AMC 12 exams 历年的考试题和答案）
https://artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions
AMC 12 - Text books (教材介绍，请点击下面课程图片到官方网站了解课程教材内容和购买纸书)
A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.
一本涵盖代数 2 和初级微积分主题的综合教科书。本书是广受好评的代数导论教科书的后续版本。除了提供标准的代数 2 和初级微积分课程外，本书还包括高级主题，例如在 AMC 和 AIME 竞赛中取得成功所需的问题解决策略。
An intermediate textbook in counting and probability for students in grades 9-12, containing topics such as inclusion-exclusion, recursion, conditional probability, generating functions, graph theory, and more.
面向 9-12 年级学生的计数和概率中级教科书，包含排除、递归、条件概率、生成函数、图论等。
A comprehensive textbook covering precalculus topics. Specific topics covered include trigonometry, complex numbers, vectors, and matrices. Includes many problems from the AIME and USAMO competitions.
涵盖初级微积分内容的综合教科书。具体包括三角学、复数、向量和矩阵。包括 AIME 和 USAMO 比赛中的许多问题。
A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.
一本经典的问题解决教科书，适合 7-10 年级正在准备 MATHCOUNTS 和 AMC 8/10/12 等竞赛的学生。
Page updated
Google Sites
Report abuse