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Math Kangaroo 袋鼠数学竞赛精品课
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$175.00 – $525.00 (-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。
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。2025 年度袋鼠数学竞赛竞赛日期为:3/20/2025 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,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。
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客服。
- 电子邮件:pipamagschool@gmail.com
- 热线电话:+1 972-696-9539
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 | 3/4 年级周六班, 1/2 年级周五班, 5/6 年级周五班, 7/8 年级周日班, 冬令营(1-2 年级), 冬令营(3-4 年级) |
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