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7th Grade Mathematics

RELATED BENCHMARKS:
SchemeDescriptor
MA.7.A.1.1Distinguish between situations that are proportional or not proportional and use proportions to solve problems.
MA.7.A.1.2Solve percent problems, including problems involving discounts, simple interest, taxes, tips and percents of increase or decrease.
MA.7.A.1.3Solve problems involving similar figures.
MA.7.A.1.4Graph proportional relationships and identify the unit rate as the slope of the related linear function.
MA.7.A.1.5Distinguish direct variation from other relationships, including inverse variation.
MA.7.A.1.6Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed.
MA.7.A.3.1Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.
MA.7.A.3.2Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.
MA.7.A.3.3Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.
MA.7.A.3.4Use the properties of equality to represent an equation in a different way and to show that two equations are  equivalent in a given context.
MA.7.A.5.1Express rational numbers as terminating or repeating decimals.
MA.7.A.5.2Solve non-routine problems by working backwards.

 

 

MA.7.G.2.1Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.
MA.7.G.2.2Use formulas to find surface areas and volume of three-dimensional composite shapes.
MA.7.G.4.1Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and apply these relationships to solve problems.
MA.7.G.4.2Predict the results of transformations and draw transformed figures, with and without the coordinate plane.
MA.7.G.4.3Identify and plot ordered pairs in all four quadrants of the coordinate plane.
MA.7.G.4.4Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems.
MA.7.P.7.1Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is  fair or unfair.
MA.7.P.7.2Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events,
MA.7.S.6.1Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population.
MA.7.S.6.2Construct and analyze histograms, stem-and-leaf plots, and circle graphs.

 

A more detailed explanation of the Benchmarks are available at:

 http://www.floridastandards.org/CourseDescriptionSearch.aspx

 

Algebra I

RELATED BENCHMARKS:
SchemeDescriptor
MA.912.A.1.8Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.
MA.912.A.2.3Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.
MA.912.A.2.4Determine the domain and range of a relation.
MA.912.A.2.13Solve real-world problems involving relations and functions.
MA.912.A.3.1Solve linear equations in one variable that include simplifying algebraic expressions.
MA.912.A.3.2Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality.
MA.912.A.3.3Solve literal equations for a specified variable.
MA.912.A.3.4Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.
MA.912.A.3.5Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.
MA.912.A.3.7Rewrite equations of a line into slope-intercept form and standard form.
MA.912.A.3.8Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form .
MA.912.A.3.9Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.

MA.912.A.3.10  Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.
MA.912.A.3.11Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.
MA.912.A.3.12Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.
MA.912.A.3.13Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology.
MA.912.A.3.14Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.
MA.912.A.3.15Solve real-world problems involving systems of linear equations and inequalities in two and three variables.
MA.912.A.4.1Simplify monomials and monomial expressions using the laws of integral exponents.
MA.912.A.4.2Add, subtract, and multiply polynomials.
MA.912.A.4.3Factor polynomial expressions.
MA.912.A.4.4Divide polynomials by monomials and polynomials with various techniques, including synthetic division.
MA.912.A.5.1Simplify algebraic ratios.
MA.912.A.5.4Solve algebraic proportions.
MA.912.A.6.1Simplify radical expressions
MA.912.A.6.2Add, subtract, multiply and divide radical expressions (square roots and higher).
MA.912.A.7.1Graph quadratic equations with and without graphing technology.
MA.912.A.7.2Solve quadratic equations over the real numbers by factoring, and by using the quadratic formula.
MA.912.A.7.8Use quadratic equations to solve real-world problems.
MA.912.A.7.10Use graphing technology to find approximate solutions of quadratic equations.
MA.912.A.10.1Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess- and-check, solving a simpler problem, writing an equation, working backwards, and create a table.
MA.912.A.10.2Decide whether a solution is reasonable in the context of the original situation.
MA.912.A.10.3Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities rational or radical expressions or logarithmic or exponential functions).
MA.912.D.7.1Perform set operations such as union and intersection, complement, and cross product.
MA.912.D.7.2Use Venn diagrams to explore relationships and patterns, and to make arguments about relationships between sets.
MA.912.G.1.4Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

A more detailed explanation of the Benchmarks are available at:

http://www.floridastandards.org/PublicPreviewCourse124.aspx