# Grade 8 Math Tutor

Eighth grade math tends to the conceptual and for students to excel, they must have a solid mathematical understanding of these concepts as taught in previous grades. If your child is struggling, has moved schools or will move from a public to a private school, additional personalized tutoring may be necessary to ensure that all the requisite concepts and skills are in place to navigate eighth grade math successfully.

Our one-on-one tutors work with the local curriculum. In the eighth grade, students must master not only important mathematical concepts, but also the following academic skills:

- Problem solving.
- Reasoning skills including pattern recognition, classification and the investigation of conjectures through discussion.
- Reflecting and monitoring their thinking i.e. by explaining to others why they think their solution is correct.
- Ability to use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to solve problems.
- To relate mathematical ideas and procedures to everyday contexts.
- Make basic representations of simple mathematical ideas.
- Communicate mathematical concepts orally, visually, and in writing.

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### Grade 8 Math Sample Curriculum

#### Number Sense and Numeration

- Express repeated multiplication using exponential notation and represent whole numbers in expanded form using powers of ten
- Represent, compare, and order rational numbers and translate between equivalent forms of a number (i.e. decimals, fractions, percentages)
- Determine common factors and common multiples using the prime factorization of numbers
- Solve multi-step problems arising from real-life contexts and involving whole numbers and decimals
- Solve problems involving percentages expressed to one decimal place
- Solve problems involving addition, subtraction, multiplication, and division with simple fractions
- Solve problems involving operations, multiplication and division of integers
- Multiply and divide decimal numbers by various powers of ten
- Estimate and calculate the positive square roots of whole numbers, and distinguish between whole numbers that have whole-number square roots and those that do not
- Solve problems involving proportions and rates, using concrete materials, drawings, and variables

#### Data Management and Probability

- Collect data by conducting a survey or an experiment
- Organize into intervals a set of data that is spread over a broad range
- Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data in charts, tables, and graphs (including histograms and scatter plots) that have appropriate titles, labels and scales that suit the range and distribution of the data
- Select an appropriate type of graph to represent a set of data, graph the data using technology, and justify the choice of graph
- Explain the relationship between a census, a representative sample, sample size, and a population
- Read, interpret, and draw conclusions from primary data and from secondary data presented in charts, tables, and graphs
- Determine, through investigation, the appropriate measure of central tendency (i.e. mean, median, or mode) needed to compare sets of data
- Demonstrate an understanding of the appropriate uses of bar graphs and histograms by comparing their characteristics
- Compare two attributes or characteristics (e.g. height versus arm span), using a scatter plot, and determine whether or not the scatter plot suggests a relationship
- Identify and describe trends, based on the rate of change of data from tables and graphs, using informal language
- Make inferences and convincing arguments that are based on the analysis of charts, tables, and graphs
- Compare two attributes or characteristics, using a variety of data management tools and strategies
- Compare the theoretical probability of an event with experimental probability, and explain why they might differ
- Determine the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases, using class-generated data and technology-based simulation models
- Identify the complementary event for a given event, and calculate the theoretical probability that a given event will not occur

#### Measurement

- Research, describe and report on real-life applications of volume and capacity measurement
- Solve problems that require conversions involving metric units of area, volume, and capacity
- Measure the circumference, radius, and diameter of circular objects and circles
- Determine the relationship between the area of the base and height and the volume of a cylinder, and generalize to develop the formula
- Calculate the surface area and volume of a cylinder

#### Geometry and Spatial Sense

- Sort and classify quadrilaterals by geometric properties, including those based on diagonals
- Construct a circle, given its center and radius, or its center and a point on the circle, or three points on the circle
- Determine relationships among area, perimeter, corresponding side lengths, and corresponding angles of similar shapes
- Determine the angle relationships for intersecting lines and for parallel lines and transversals, and the sum of the angles of a triangle
- Solve angle-relationship problems involving triangles, intersecting lines and parallel lines and transversals
- Solve problems involving right triangles geometrically, using the Pythagorean relationship
- Determine the relationship between the numbers of faces, edges, and vertices of a polyhedron
- Graph the image of a point, or set of points, on the Cartesian coordinate plane after applying a transformation to the original point(s)

#### Patterning and Algebra

- Represent the general term of a linear pattern, using one or more algebraic expressions
- Represent linear patterns graphically
- Determine a term, given its term number, in a linear pattern that is represented by a graph or an algebraic equation
- Describe different ways in which algebra can be used in real-life situations
- Model linear relationships using tables of values, graphs, and equations
- Evaluate algebraic expressions with up to three terms, by substituting fractions, decimals, and integers for the variables
- Make connections between solving equations and determining the term number in a pattern, using the general term
- Solve and verify linear equations involving a one-variable term and having solutions that are integers, by using inspection, guess and check, and a “balance” model