1対1の夏期補習または先取り数学個別指導 幼稚園から幾何学まで

Each learner will be expected to bring a copy of their math assignment to each class session.  This may be a digital or a hardcopy.  A Math For The Middles tutor will review the homework assignment and go through the assignment with them for the duration of the class session.  If an assignment is completed early, then the tutor will provide additional exercises of practice to either reinforce the topic or dive into a deeper level of the topic for advanced learning.  Our goals during each session is for learners to build their math self-esteem and feel proud of their work.  

The following topics are available for homework review:

6th, 7th, and 8th Grade Number Operations
•	Add, subtract, multiply, and divide rational numbers (positive and negative decimals, fractions, and integers)
•	Develop transition from conceptually understanding rational numbers to developing rules and procedural fluency of rational operations
•	Convert fractions to decimals using division
•	Define rational and irrational numbers
•	Convert a decimal expansion which repeats to a rational number
•	Estimate irrational numbers 
•	Compare the size of irrational numbers
•	Explain and apply zero property of exponents
•	Explain why a number raised to a negative exponent is the reciprocal
•	Multiply exponents with the same base
•	Divide exponents with the same base
•	Raise an exponent to an exponent
•	Evaluate square roots
•	Convert values to scientific notation
•	Perform operations with scientific notation values
•	Compare quantities in scientific notation


6th, 7th, and 8th Grade Unit Rates and Proportions
•	Calculate unit rates with complex fractions
•	Solve multi step ratio and percent problems with interest, taxes, shopping sales, etc.
•	Represent real life ration and percent problems as equations
•	Model proportions on a graph
•	Determine if an equation is a function
•	Identify a function using, graphs, tables, or equations
•	Compare and analyze functions
•	Identify and define linear functions on a graph, table, or by equation
•	Draw conclusions and make inferences from real life linear equations
•	Identify the solution to a system of two linear equations with two variables
•	Solve systems of linear equations with two unknowns algebraically
•	Determine and describe when two equations have no solution
•	Determine and describe when two equations have infinite solutions
•	Represent real world and mathematical problems leading to two linear equations


6th, 7th, 8th Expressions and Equations
•	Simplify expressions and equations with decimals, fractions, and integers
•	Rewrite and identify equivalent expressions and equations
•	Learn how to use expressions and equations to solve real world problems
•	Determine if an equation is a function
•	Identify a function using, graphs, tables, or equations
•	Compare and analyze functions
•	Identify and define linear functions on a graph, table, or by equation
•	Draw conclusions and make inferences from real life linear equations
•	Identify the solution to a system of two linear equations with two variables
•	Solve systems of linear equations with two unknowns algebraically
•	Determine and describe when two equations have no solution
•	Determine and describe when two equations have infinite solutions
•	Represent real world and mathematical problems leading to two linear equations


6th, 7th, 8th Geometry
•	Use scale drawings to solve problems with the actual length and size to scale
•	Use area, surface area, volume formula to solve for missing values of geometric figures
•	Use algebraic expressions to solve for supplementary, complementary, vertical, and adjacent angles.
•	Define and identify rotations, reflections and translations
•	Identify a line of reflection
•	Use models, and geometric software to confirm properties of rotations, reflections, and translations
•	Describe a sequence of rotations, reflections, and translations that exhibit congruence of -D figures with coordinates
•	Define and identify similar triangles
•	Identify angles created by a pair of parallel lines cut by a transversal
•	Use formulas to calculate the volume of cones, cylinders, and spheres and compare similar sizes of the same shape.

6th, 7th, 8th Statistics
•	Infer valid comparable conclusions about multiple populations using mean, median, and other measures of variability
•	Investigate chance using probability models 
•	Describe scatter plot patterns like clustering, outliers, positive/negative associations and non linear associations
•	Construct, and interpret scatter plots with two different variables to investigate patterns of association between two quantities
•	Fit a straight line within plotted data
•	Informally assess the model fit 
•	Recognize patterns shown in comparison of two sets of data

High school topics include Algebra 1, Algebra 2, and Geometry.