Closing the Teach For America Blogging Gap

What is 8th Grade Math?

Number Sense
*Comparing and ordering real numbers (whole numbers, negative numbers, decimals, fractions)
*Estimating location of irrational numbers (like the square root of 7)
*Classifying numbers as natural/whole/integers/rational/irrational
*Absolute value
*Factors and multiples
*Divisibility and remainders (including problems on unit prices)
*Prime and composite numbers
*Describing the effect of multiplying a given number by other numbers (like a number between zero and one, a number less than zero, etc)
*Standard and scientific notation
*Order of operations
*Percent increase and decrease
*Simple interest

Data Analysis, Probability, Discrete Math
*Vertex-edge or directed graphs
*Creating and using displays of data (especially box and whisker and scatterplots, but really any type of graph or table)
*Summary statistics (mean, median, mode, range)
*Identifying biased information and evaluating effective representations of data
*Evaluating the design of an experiment
*Probability – theoretical and experimental, dependent and independent
*Counting problems, permutations and combinations

Patterns, Algebra, and Functions
*Rate Problems
*Numerical and geometric sequences in tables/graphs/words/symbols
*Identifying functions
*Identifying linearity
*Writing rules for simple functions
*x- and y- intercepts
*Writing equations/expressions/inequalities for word problems
*Evaluating expressions with variables by substituting rational numbers for the variables
*Moving between equations/graphs/tables/words to represent linear relationships
*Graphing inequalities on number lines
*Sketch and/or interpret graphs modeling various situations

Geometry and Measurement
* Identify attributes of circles (radius, diameter, chord, tangent, secant, various angle and arc relationships, circumference, area
*Combining/subdividing/changing shapes of plane figures and solids
*Using proportional reasoning to determine congruence and similarity
*Pythagorean Theorem
*Rotational and reflectional symmetry
*conversions between units of measurement
*Ratios and proportions in geometry (think scale factors, etc)
*Surface area and volume

Structure and Logic
*Analyze a problem to determine the question to be answered
*Analyze, compare and select most efficient mathematical strategies
*Identify relevant, missing, extraneous information
*Use multiple representations to solve problems
*Describe process used to solve problem
*Verify reasonableness of a solution
*Apply previously used strategy in new context
*Use appropriate representations and mathematical vocabulary to present answer
*Isolate and organize mathematical information taken from symbols, diagrams and graphs
*Describe when to use proportional reasoning
*Make and test conjectures based on information collected from experiments
*Solve logic problems involving multiple variables, conditional statements, conjectures, and negation using words, charts and pictures
*Identify simple valid arguments with if… then statements
*Make, validate and justify conclusions and generalizations about linear relationships

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