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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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Algebra

8.2.1.1

Understand that a function is a relationship between independant variables.

Algebraic representations, Use algebraic concepts and processes to represent and solve problems that involve variable quantities.

8.2.1.2

Use linear functions to represent relationships.

8.2.1.3

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

8.2.1.4

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

8.2.2.1

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

8.2.2.2

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.

Equations and inequalities

8.2.2.3

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

8.2.2.4

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

8.2.2.5

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

8.2.3.1

Evaluate algebraic expressions.

Variables, Expressions and Operations, Analyze the interaction between quantities and/or variables to model patterns of change.

8.2.3.2

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

8.2.4.1

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

8.2.4.2

Solve multi-step equations in one variable.

8.2.4.3

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

Patterns, Relations and Functions, Recognize, describe and generalize patterns and build mathematical models to make predictions.

8.2.4.4

Use linear inequalities to represent relationships in various contexts.

8.2.4.5

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

8.2.4.6

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

8.2.4.7

Represent relationships in various contexts using systems of linear equations.

8.2.4.8

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

8.2.4.9

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.

8.1.1.1

Classify real numbers as rational or irrational.

Number sense, Develop an understanding of numeration systems and their properties

8.1.1.2

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

Number Operation, Understand the operations and apply them to solve problems.

8.1.1.3

Determine rational approximations for solutions to problems involving real numbers.

Estimation, Develop operation sense, and use it to estimate results of operations.

8.1.1.4

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

Ratios and Proportional Reasoning, Develop an understanding about numbers, their magnitude and their relationships.

8.1.1.5

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

Properties of numbers and Operations, Translate among equivalent forms of numbers to facilitate problem solving.

Data Analysis & Probability

Interpret data using scatterplots and approximate line of best fit.

8.4.1.1

Collect, display and interpret data using scatterplots.

Data representation, Standard 3 - Data investigation

8.4.1.2

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

Characteristics of data sets

8.4.1.3

Assess the reasonableness of predictions using scatter[;plots.

Probablility, experiments and samples, Standard 4 - Probability, randomness and uncertainty

Geometry and Measurement

8.3.1.1

Use the Pythagorean Theorem to solve problems involving right triangles.

Relationship between geometric figures, Use transformations and concepts of location, relative position and symetry to visualize, represent and verify geometric relationships.

8.3.1.2

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

Dimension and Shape, Recognize, describe and model shapes and relationships and represent and rason about them in increasingly abstract ways.

8.3.1.3

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

8.3.2.1

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

Position and direction

8.3.2.3

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

Mathematical Reasoning, Use measurement to make the connection between number and space in order to describe, analyze and represent real-world and abstract situations.

8.3.2.2

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.