Math Kangaroo 袋鼠数学竞赛精品课

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课程是专为 1-12 年级学生备考 Math Kangaroo(袋鼠数学)竞赛的小班课程。

 

袋鼠数学是世界上最大规模的数学竞赛,其宗旨是用生动有趣、接近生活的题目,激发孩子们学习数学的兴趣和自信,培养学生的数学逻辑思维以及阅读、理解、分析和解决问题的能力。竞赛适合 1-12 年级的学生参加,题目按照学生年级分为 6 个难度等级,分别为 1-2 年级,3-4 年级,5-6 年级,7-8 年级,9-10 年级,11-12 年级。每年全球有 80 多个国家和地区超过 630 万学生参加,是一场数学的盛会。点击阅读袋鼠数学竞赛(Math Kangaroo)的详细说明

 

授课老师熟悉美国教学大纲,并担任学校的竞赛数学领队,负责培训美国各项数学竞赛的培训,包括:Math Kangaroo,Mathcounts,AMC8,AMC10,AMC12 等。

 

选择课程后查看详情和具体时间。2023 年度袋鼠数学竞赛注册日期 9/15/2022-12/15/2022;竞赛日期为:3/16/2023 周四。请大家在这里注册比赛。

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Math Kangaroo 袋鼠数学竞赛 1-2 年级教学大纲

  • Counting to 20 and ordering small numbers for 3 and 4 point problems; for 5 point problems can be up to 30
  • Comparing sizes (more, less, equal) of small numbers and geometrical regions
  • Ordinal numbers
  • Place value (ones, tens, and up to hundreds for 5 point problems)
  • Simple addition and subtraction should be just for 2 single-digit numbers
  • Number line just in simple applications
  • Fractions (1/2, 1/3, 1/4), only using the words half, third, quarter
  • Ordering objects by applying one specific characteristic; Sorting and classifying objects
  • Measurement – length, capacity, weight, temperature, time only with small integers
  • Patterns— numerical and geometrical, no sequences to be continued somehow
  • Perimeter; comparing length of broken lines
  • Relative positions in a figure or in space (behind, in front of, next to, left, right, over, under, middle, in, out)
  • Descriptive properties of geometrical figures
  • Puzzles with mazes or shapes
  • Simple spatial visualization of cubes and cuboids
  • More likely, less likely, certain, impossible
  • Barsand graphs (pictographs)
  • Venn diagrams (easy situations)
  • Calendar (week, month, year)
  • Money with small numbers
  • Clock faces (full and half hours), but no minutes for 3 and 4 point problems
  • Simple axial symmetry; rotated shapes
  • Pre-algebra ideas like balances with concepts like equal, more, less, …

Math Kangaroo 袋鼠数学竞赛 3-4 年级教学大纲

1. Geometry

  • Measurement: simple area and perimeter, for instance comparing lengths, counting in boxes on squared paper
  • Symmetry

2. Numbers

  • Basic operations with positive integers (+, -, x, / ) with numbers under 1000
  • Comparing sizes of numbers; ordering numbers
  • Multiples and divisors
  • Simple fractions representing parts of figures, like quarter, half and third
  • Number of the year problem can be an exception to the under 1000 rule for problems about the digits or similar ideas
  • Averages (arithmetic mean)

3. Logic

  • Strategies for simple games
  • Classification of objects
  • Puzzles

Math Kangaroo 袋鼠数学竞赛 5-6 年级教学大纲

1a. Geometry — plane geometry

  • Points, lines, segments, circles, (special) triangles and (special) quadrilaterals
  • Symmetry
  • Perimeter and area of squares, rectangles and right triangles

1b. Geometry — solid geometry

  • Only problems in solid geometry that allow an intuitive approach

2. Numbers and algebra

  • Calculations with natural numbers
  • Recognizing multiples of 2, 3, 5, 9 and 10
  • Very easy calculations with positive rational numbers (fractions or decimals)
  • Algebraic thinking without the use of formal algebraic notation
  • Counting problems that do not involve any formulas
  • Problems about decimal number system
  • Easy problems with order between numbers (integers, decimal, fractions) and links with their representations (on graduate line, surfaces, …)
  • Very easy problems with percentages
  • Metric system (length, weight, area, volume, temperature, time)
  • Problems using time, distance and/or velocity

3. Logic

  • Logical problems that can be solved in a limited number of steps or by analyzing a limited number of cases or hypotheses

Math Kangaroo 袋鼠数学竞赛 7-8 年级教学大纲

1a. Geometry — plane geometry

  • Point, line, segment, angle, acute angle, right angle, obtuse angle, circle, radius, diameter, triangle, isosceles triangle, equilateral triangle, quadrilateral, square, rectangle, parallelogram, rhombus, trapezium, diagonal, regular polygon
  • Symmetry, translation and rotation in the plane
  • Sum of the angles of a triangle, sum of the angles of a square, angles formed by two parallel lines intersected by a third line
  • Elementary propositions about angles, sides and diagonals in special triangles and quadrilaterals
  • Perimeter and area of a square, rectangle, parallelogram, rhombus, trapezium, triangle
  • Coordinates of a point in the plane

1b. Geometry — solid geometry

  • Cube, regular parallelepiped, prism, pyramid, cone, cylinder, sphere
  • Area and volume of a cube and a regular parallelepiped
  • 3-d movement of one- and two-dimensional objects (such as knots and folding)
  • Intuitive 2-d representation of a 3-d object

2. Numbers

  • Calculations with integers and rational numbers (fractions or decimals)
  • Prime numbers
  • gcd and lcm
  • Recognizing multiples of 2, 3, 4, 5, 6, 9 and 10
  • Intuitive knowledge about the divisibility of a sum and a difference
  • Powers with exponent 2
  • Square root of a perfect square, cubic root of a perfect cube
  • Combinatorial problems that do not involve any formulas
    Percentage
  • Metric system (length, weight, area, volume, temperature …)
  • Problems using time, distance and velocity that do not involve algebraic calculation.
  • Problems that involve only an intuitive knowledge of probability

3. Algebra

  • Linear algebraic calculations (adding and subtracting monomials of degree 1, multiplying a rational number and a monomial of degree 1)
  • Problems that can be reduced to a linear equation or inequality in one variable.

4. Logic

  • Logic problems that can be solved in a limited number of steps or by analyzing a limited number of cases or hypotheses

Math Kangaroo 袋鼠数学竞赛 9-10 年级教学大纲

1a. Geometry — plane geometry

  • symmetry
  • Pythagorean theorem
  • similarity
  • areaof simple plane figures
  • angle calculations (parallel and normal angles, angles in a circle, angles in triangles and simple polygons)
  • circles
  • parabola
  • rotation, translation, scaling
  • point coordinates without computations
  • simple regular polygons

1b. Geometry — solid geometry

  • spatial relationships
  • cubes, prisms, pyramids
  • spheres, cones, cylinders
  • Platonic solids
  • volume
  • 3-d movement of one- and two-dimensional objects, ¡.e. knots, folding, etc.

2. Number Theory

  • number puzzles
  • simple usage of powers of numbers
  • prime numbers
  • use of prime factorisation (low level)
  • using digits
  • number patterns
  • simple Diophantine equations
  • very simple modulo calculations, no modulo calculus

3a. Functions, Sequences

  • interpreting simple graphs
  • simple arithmetic and geometric sequences
  • simple functional equations
  • simple finite recursions

3b. Algebra

  • addition, subtraction and multiplication of polynomials
  • powers and roots
  • equations, simple quadratic equations
  • simple systems of linear equations
  • simple inequalities; solutions with sets written as intervals

4a. Combinatorics and Probability

  • simple combinatorics as for instance countable permutations
  • simple probability without theoretical knowledge
  • inclusion/exclusion principle

4b. Logic / Puzzles

Math Kangaroo 袋鼠数学竞赛 11-12 年级教学大纲

1a. Geometry — plane geometry

  • lines, segments, polygons
  • congruence and similarity
  • symmetry
  • Pythagorean theorem
  • areaofsimple plane figures (including those that can be solved by breaking a shape into smaller self-similar shapes)
  • angle calculations (parallel and normal angles, angles in a circle, angles in triangles and polygons)
  • circles and parabolas
  • concurrency, collinearity and concyclicity
  • rotation, reflection, translation, homothety (i.e. isometries and similarities)
  • regular polygons

1b. Geometry — plane analytic geometry

  • point coordinates, equations of the line, the circle and the parabola
  • calculating points and lines in the plane
  • triangle calculations with trigonometric methods

1c. Geometry — solid geometry

  • spatial relationships (chirality/spatial orientation, nets of solids)
  • cubes, prisms, pyramids
  • spheres, cones, cylinders
  • Platonic solids
  • point coordinates
  • volume
  • projections
  • 3-d movement of one- and two-dimensional objects, ¡.e. knots, folding, etc.

2. Number Theory

  • number puzzles
  • powers of numbers
  • prime numbers
  • prime factorisation
  • triangular numbers
  • Diophantine equations
  • divisibility and simple modulo calculations, parity considerations

3a. Functions, Sequences

  • interpreting graphs
  • simple arithmetic and geometric sequences, other well-defined sequences (e.g. by recursion)
  • simple functional equations

3b. Algebra

  • absolute value
  • powers and roots
  • logarithms (only elementary properties, no change of base)
  • systems of equations; replacement or change of variables
  • simple inequalities; solutions with sets written as intervals
  • factorising simple polynomials
  • quadratic equations / polynomial equations
  • solving worded or situational questions by applying algebraic methods

4a. Combinatorics and Probability

  • n! (permutations)
  • binomial coefficients; number of subsets
  • inclusion/exclusion principle
  • systematic counting (by analysing cases)
  • calculating with probability trees

4b. Logic / Puzzles

  • interpretation of a problem: the possibility of reduction of the problem to another problem in any other subject
  • semantics and syntax: inference of facts from partial information in a network of logically connected statements
  • models: puzzles created from a specific set of axioms and/or rules
  • language structure
  • Boolean problems (e.g. truth-tellers and liars)

上课规则

在上课前,请您确保和孩子做好以下的准备,以免耽误上课。

  • 家长们协助孩子安装上课软件 Zoom,协助孩子调试设备,方便进行线上学习。
  • 上课前请家长确认电脑或 iPad 的充电状态,以防临时没电。
  • 上课期间请尽量保持家里环境的安静。
  • 上课时学生 Zoom 镜头必须打开,让老师能看到学生。
  • Zoom 的名字必须是报名上课孩子的名字,课堂只限已报名学生,否则老师将会要求离开课室进行调整。
  • 让孩子熟悉使用 Zoom 的静音,Chat,和举手的功能。
  • 为保证课程顺利进行,爱学工作人员将参与上课,进行协助和监督。
  • 请家长监督孩子完成作业,按时在 Google Classroom 里提交给老师。

配送规则

上课前 48 小时会通过电子邮件发送 Google Classroom 链接,Zoom 链接会在 Google Classroom 里的 Class Information 中查看。不熟悉 Google Classroom 使用方法的家长请观看视频教程学习。

退费规则

  • 报名后无法成班将全额退款
  • 第一节课开始之前可以全额退款
  • 第一节课结束后可以退课(扣除第一节课的费用),剩余课时费作为积分退回爱学账户;也可以安排换课。
  • 第二节课之后就不能退课也不能再换课。
  • 因学生原因导致缺课将提供录像,不能退费或者退积分

联络客服

如果您对课程或老师有任何疑问,欢迎您通过以下方式联系爱学客服。

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