Math Kangaroo 袋鼠数学竞赛精品课

$350.00$350.00 (-0%)

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。

Clear
Compare
SKU: N/A 分类:

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。

添加客服咨询

其他信息

适合年级

1年级, 2年级, 3年级, 4年级, 5年级, 6年级, 7年级, 8年级

选择课程

周六下午班, 周日上午班, 周五晚上班, 周日下午班, 周五晚间班, 周六晚上班, 周一下午班, 周二下午班

Only logged in customers who have purchased this product may leave a review.

用户点评

There are no reviews yet.

爱学美国