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Math for 8th grade by Mind Map: Math for 8th grade
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Math for 8th grade

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Understand that a function is a relationship between independant variables.

Use linear functions to represent relationships.

Understand that a function is linear if it can be expressed in the form f(x)=f(y).

Understand that an arithmetic sequence is a linear function that can be espressed where x-0,1,2,3,...

Represent linear functions with tables, verbal descriptions, symbols, equations representation to another.

Identify graphical properties of linear functions including slopes and interceps the rate of change and that the y-intercept is zero when the function represents x.

Identify how coefficient changes in the equationf(x)=mx+b affect the graph

Represent arithmetic sequences using equations, tables, graphs and verbal problems.

Represent geometric sequences using equations, tables, graphs and verbal problems.

Evaluate algebraic expressions.

Justify steps in generating equivalent expressions by identifying the properties of algebra.

Use linear equations to represent situations involving a constant rate of change.

Solve multi-step equations in one variable.

Express linear equations in slope-intercept, point-slope and standard forms.

Use linear inequalities to represent relationships in various contexts.

Solve linear inequalities using properties of inequalities. Graph the solutions.

Represent relationships in various contexts with equations and inequalities with linear expression.

Represent relationships in various contexts using systems of linear equations.

Understand that a system of linear equations may have no solution, one solution or many solutions.

Use the relationship between square roots and squares of a numver to solve for x.

Numbers and Operation

Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.

Classify real numbers as rational or irrational.

Compare real numbers, locate real numbers on a number line.

Determine rational approximations for solutions to problems involving real numbers.

Know and apply the properties of positive and negative integer exponents to expressions.

Express approximations of very large and very small numbers using scientific calculators display numbers in scientific notation.

Data Analysis & Probability

Interpret data using scatterplots and approximate line of best fit.

Collect, display and interpret data using scatterplots.

Use a line of best fit to make statements about apporximate rate of change with values not in the original data set.

Assess the reasonableness of predictions using scatter[;plots.

Geometry and Measurement

Use the Pythagorean Theorem to solve problems involving right triangles.

Determine the distance between two points on a horizontal or vertical line.

Informally justify the Pythagorean Theorem by using measurements, digrams and graphs.

Understand and apply the rlationships betweent he slopes of parallel lines and perpendicular lines.

Solve problems involving parallel and perpendicular lines on a coordiate system.

Analyze polygons on a coordinate system.

Discrete Mathematics

Investigate and apply systematic counting techniques set relationships and principles of logic to represent analyze and solve problems.

Use charts, vertex-edge graphs and matrices to model and solve problems.