학습 센터 (PK-G12)
과외 · 방과후
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Math Level 5 (Grade 5-6)
Number System, Expressions and Equations :
● Fluently divide multi-digit numbers using standard algorithm
● Fluently perform addition, subtraction, multiplication, and division of multi-digit decimals using standard algorithm for each operation
● Understand a rational number as a point on the number line, and recognize opposite signs of numbers as indicating locations on opposite sides of zero on the number line
● Understand the concept of absolute value, compare and order absolute value of rational numbers
● Write and evaluate numerical expressions involving whole-number exponents
● Write and evaluate algebraic expressions in which letters stand for numbers, and identify when two expressions are equivalent without substituting values into them
● Solve simple linear equation in one variable, and form simple linear equation to solve problems
Measurement and Data :
● Understand the concept of unit rate associated with a ratio, and use ratio and rate reasoning to solve real-world mathematical problems
● Understand the meaning of percentage, reverse percentage, look for percentage increase and decrease, and solve discount, sales tax, and other mathematical problems
● Understand speed and average speed, and solve more challenging word problems related to speed
● Read and interpret data from multiple graphs (pie charts, histograms, and line graphs), and use data to solve related problems
Geometry :
● Recognize supplementary, complementary, vertical, and adjacent angles, and use the properties to look for unknown angles
● Look for the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes
● Look for the volume of a right rectangular prism with fractional edge lengths, and solve related word problems
Math Level 6 (Grade 6-7)
Number System, Expressions and Equations :
● Apply and extend previous understanding of operations with rational numbers, and solve real-word and mathematical problems involving the four operations with rational numbers
● Use variables to represent numbers, expressions, and a constraint or condition in a real-world or mathematical problem, to solve one-variable equations and inequalities
● Represent and analyze quantitative relationships between dependent and independent variables
Ratios and Proportional Relationships :
● Use ratio language to describe a ratio relationship between two quantities, and use ratio and rate reasoning to solve real-world and mathematical problems
● Recognize whether two quantities are in a proportional relationship, and represent proportional relationships by equations
● Use proportional relationships to solve multi-step ratio and percent problems
Statistics and Probability :
● Develop understanding of statistical variability, and understand that statistics can be used to gain information about a population by examining a sample of population
● Look for quantitative measures of center (mean/median) and variability (interquartile range/mean absolute deviation)
● Understand the meaning of probability, and look for probability of simple events
Geometry :
● Understand perpendicular bisector and angle bisector, and use the properties to solve mathematical problems
● Draw polygons in the coordinate plane given coordinates for the vertices, and use coordinated to find the length of a side joining points with the same first coordinate or the same second coordinate
● Look for the surface area of three-dimensional figures using their nets made up of rectangles and triangles
Math Level 7 (Grade 7-8)
Number System, Expressions and Equations :
● Understand rational and irrational numbers, prime and composite numbers
● Know and apply the properties of integer exponents and fractional exponents to generate equivalent numerical expressions
● Perform radical expressions simplification and denominators rationalization
● Graph proportional relationships, interpreting the unit rate as the slope of the graph
● Perform factorization on polynomial expressions
● Solve linear equations in one variable and system of two linear equations in two variables, and form linear equation system to solve problems
Functions :
● Understand that a function is a rule that assigns to each input exactly one output, and graph the function given a set of ordered pairs
● Understand even/odd functions, some special functions and their properties
● Describe qualitatively the functional relationship between two quantities by analyzing a graph
Statistics and Probability :
● Analyze a population by examining a sample of population, and look for mean, median, and mode given a set of numerical data
● Understand and apply basic probability formula, general addition/multiplication rule of probability to calculate the probability of independent and dependent events
Geometry :
● Explore the relationship of angles formed by parallel lines and sum principles to look for unknown angles
● Understand similar triangles and figures and look for length/area in similar and complicated figures
● Understand transformation (rotation, reflection, and translation) and apply the properties to solve problems related to coordinate system and geometric objects
● Calculate the volume of cylinder, cone, pyramid, and sphere and solve related real-world and mathematical problems