Middle School Math Grades 6 - 8[PL][11-13]

Middle School Math

Private Lessons

  • 2 sessions every week
  • Each session is of 1 hour
  • Follow class work


Aligned with the common core curriculum of 6th to 8th grades, these sessions introduce the concepts of ratios & proportions, the number system, expressions & equations, statistics and probability, functions etc. Practicing these topics gives a solid foundation to take on the advanced high school courses like Algebra and Geometry.


  • 1 Understand the concept of a ratio
  • 2 Understand the concept of a unit rate
  • 3 Use ratio and rate reasoning to solve real-world and mathematical problems

  • 4 Interpret and compute quotients of fractions
  • 5 Write, read, and evaluate expressions in which letters stand for numbers.
  • 6 Apply the properties of operations to generate equivalent expressions.
  • 7 Greatest Common Factor and Least Common Multiplier
  • 8 Positive and Negative numbers
  • 9 Understand a rational number as a point on the number line
  • 10 Solve real-world and mathematical problems by graphing points in all four quadrants

  • 11 Write and evaluate numerical expressions involving whole-number exponents
  • 12 Apply the properties of operations to generate equivalent expressions
  • 13 Identify when two expressions are equivalent
  • 14 Solve one-variable equations and inequalities
  • 15 Represent and analyze quantitative relationships between dependent and independent variables

  • 16 Find the area of right triangles, other triangles, special quadrilaterals, and polygons
  • 17 Find the volume of a right rectangular prism with fractional edge lengths
  • 18 Draw polygons in the coordinate plane given coordinates for the vertices
  • 19 Three-dimensional figures using nets made up of rectangles and triangles

  • 20 Develop understanding of statistical variability
  • 21 Summarize and describe distributions

  • 22 Compute unit rates associated with ratios of fractions
  • 23 Recognize and represent proportional relationships between quantities
  • 24 Use proportional relationships to solve multistep ratio and percent problems

  • 25 Add and subtract rational numbers, represent addition and subtraction on a horizontal or vertical number line diagram
  • 26 Multiply and divide rational numbers
  • 27 Solve real-world and mathematical problems involving the four operations with rational numbers

  • 28 Use properties of operations to generate equivalent expressions
  • 29 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers 
  • 30 Use variables to represent quantities in a real-world or mathematical problem

  • 31 Solve problems involving scale drawings of geometric figures
  • 32 Draw geometric shapes with given conditions
  • 33 Describe the two-dimensional figures that result from slicing three-dimensional figures
  • 34 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

  • 35 Use random sampling to draw inferences about a population
  • 36 Draw informal comparative inferences about two populations
  • 37 Investigate chance processes and develop, use, and evaluate probability models

  • 38 Irrational numbers
  • 39 Convert a decimal expansion which repeats eventually into a rational number
  • 40 Use rational approximations of irrational numbers to compare the size of irrational numbers

  • 41 Work with radicals and integer exponents
  • 42 Understand the connections between proportional relationships, lines, and linear equations
  • 43 Analyze and solve linear equations and pairs of simultaneous linear equations

  • 44 Define, evaluate, and compare functions
  • 45 Use functions to model relationships between quantities

  • 46 Verify experimentally the properties of rotations, reflections, and translations
  • 47 Understand congruence and similarity
  • 48 Describe the effect of dilations, translations, rotations, and reflections
  • 49 Use informal arguments to establish facts about the angle sum
  • 50 Understand and apply the Pythagorean Theorem
  • 51 Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

  • 52 Construct and interpret scatter plots for bivariate measurement data
  • 53 2 Using straight lines to model relationships between two quantitative variables
  • 54 2 Use the equation of a linear model to solve problems in the context of bivariate measurement data
  • 55 2 Construct and interpret a two-way table summarizing data on two categorical variables

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