Class 7 Tuition for USA students

1) Probability and Numerical Representations

The student will demonstrate an understanding of how to represent probabilities and numbers.

•  Number and operations.
   Use rational numbers in a variety of forms. 
  (A) extend previous knowledge of sets and subsets using a visual
  representation to describe relationships between sets of rational
  numbers. 
•  Proportionality. 
  Use probability and statistics to describe or solve problems involving
  proportional relationships. 
  (A) represent sample spaces for simple and compound events using lists
  and tree diagrams; Supporting Standard
  (C) make predictions and determine solutions using experimental data
  for simple and compound events; Supporting Standard
  (D) make predictions and determine solutions using theoretical
  probability for simple and compound events; Supporting Standard
  (E) find the probabilities of a simple event and its complement and
  describe the relationship between the two; Supporting Standard
  (H) solve problems using qualitative and quantitative predictions and
  comparisons from simple experiments; and Readiness Standard
  (I) determine experimental and theoretical probabilities related to
  simple and compound events using data and sample spaces.
  Readiness Standard

2) Computations and Algebraic Relationships

The student will demonstrate an understanding of how to perform operations and represent algebraic relationships.

• Number and operations.
  (A) add, subtract, multiply, and divide rational numbers fluently; and
  Supporting Standard
  (B) apply and extend previous understandings of operations to solve
  problems using addition, subtraction, multiplication, and division of
  rational numbers. Readiness Standard
• Proportionality. 
  (A) represent constant rates of change in mathematical and real-world
  problems given pictorial, tabular, verbal, numeric, graphical, and
  algebraic representations, including d = rt; Readiness Standard
  (B) calculate unit rates from rates in mathematical and real-world
  problems; Supporting Standard
  (C) determine the constant of proportionality (k = y/x) within
  mathematical and real-world problems; and Supporting Standard
  (D) solve problems involving ratios, rates, and percents, including multi step problems involving percent increase and percent decrease, and
  financial literacy problems. Readiness Standard
• Expressions, equations, and relationships. 
  represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b. Readiness Standard
• Expressions, equations, and relationships.
  (A) write one-variable, two-step equations and inequalities to represent
  constraints or conditions within problems; Supporting Standard
  (B) represent solutions for one-variable, two-step equations and
  inequalities on number lines; and Supporting Standard
  (C) write a corresponding real-world problem given a one-variable, two step equation or inequality. Supporting Standard
• Expressions, equations, and relationships.
  (A) model and solve one-variable, two-step equations and inequalities;
  and Readiness Standard
  (B) determine if the given value(s) make(s) one-variable, two-step
  equations and inequalities true. Supporting Standard

3) Geometry and Measurement

The student will demonstrate an understanding of how to represent and apply geometry and measurement concepts.

• Proportionality. 
  (A) convert between measurement systems, including the use of
  proportions and the use of unit rates. Supporting Standard
  (B) generalize the critical attributes of similarity, including ratios within
  and between similar shapes; Supporting Standard
  (C) describe pie as the ratio of the circumference of a circle to its
  diameter; and Supporting Standard
  (D) solve mathematical and real-world problems involving similar shape
  and scale drawings. Readiness Standard
• Expressions, equations, and relationships. The student applies
  mathematical process standards to solve geometric problems. The student
  is expected to
  (A) solve problems involving the volume of rectangular prisms, triangular
  prisms, rectangular pyramids, and triangular pyramids;
  Readiness Standard
  (B) determine the circumference and area of circles;
  Readiness Standard
  (C) determine the area of composite figures containing combinations
  of rectangles, squares, parallelograms, trapezoids, triangles,
  semicircles, and quarter circles; and Readiness Standard
  (D) solve problems involving the lateral and total surface area of a
  rectangular prism, rectangular pyramid, triangular prism, and
  triangular pyramid by determining the area of the shape’s net.
  Supporting Standard
• Expressions, equations, and relationships. The student applies
  mathematical process standards to solve one-variable equations and
  inequalities. The student is expected to
  (A) write and solve equations using geometry concepts, including the
  sum of the angles in a triangle, and angle relationships.
  Supporting Standard

4) Data Analysis and Personal Financial Literacy

The student will demonstrate an understanding of how to represent and analyze data and how to describe and apply personal financial concepts.

• Proportionality. 
  (A) solve problems using data represented in bar graphs, dot plots, and
  circle graphs, including part-to-whole and part-to-part comparisons
  and equivalents. Readiness Standard
• Measurement and data. The student applies mathematical process
  standards to use statistical representations to analyze data. 
  (A) compare two groups of numeric data using comparative dot plots or
  box plots by comparing their shapes, centers, and spreads; Readiness Standard
  (B) use data from a random sample to make inferences about a
  population; and Supporting Standard
  (C) compare two populations based on data in random samples from
  these populations, including informal comparative inferences about
  differences between the two populations. Supporting Standard
• Personal financial literacy. The student applies mathematical process
  standards to develop an economic way of thinking and problem solving
  useful in one’s life as a knowledgeable consumer and investor. The student
  is expected to
  (A) calculate the sales tax for a given purchase and calculate income tax
  for earned wages; Supporting Standard
  (B) identify the components of a personal budget, including income;
  planned savings for college, retirement, and emergencies; taxes; and
  fixed and variable expenses, and calculate what percentage each
  category comprises of the total budget; Supporting Standard
  (C) create and organize a financial assets and liabilities record and
  construct a net worth statement; Supporting Standard
  (D) use a family budget estimator to determine the minimum household
  budget and average hourly wage needed for a family to meet its
  basic needs in the student’s city or another large city nearby;
  Supporting Standard
  (E) calculate and compare simple interest and compound interest
  earnings; and Supporting Standard
  (F) analyze and compare monetary incentives, including sales, rebates,
  and coupons. Supporting Standard