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Grade 9 Math Courses - Florida Curriculum

Discover Florida's Grade 9 math curriculum, centered on Algebra I. Our comprehensive course aligns with state standards, providing a solid foundation for advanced mathematical concepts and problem-solving skills.

Florida Grade 9 Math Curriculum - Algebra I

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FL Standard
Shortened Benchmark
StudyPug Topic
MA.912.AR.1.1
Identify and interpret parts of an equation or expression
What is a polynomial?
Polynomial components
MA.912.AR.1.2
Rearrange equations or formulas to isolate a quantity of interest
Solving literal equations
MA.912.AR.1.3
Add, subtract and multiply polynomial expressions
Multiplying polynomial by polynomial
Applications of polynomials
Adding and subtracting polynomials
MA.912.AR.1.4
Divide a polynomial expression by a monomial expression
Dividing polynomials by monomials
MA.912.AR.1.7
Rewrite a polynomial expression as a product of polynomials
Common factors of polynomials
Factoring polynomials by grouping
Solving polynomials with unknown coefficients
Solving polynomials with unknown constant terms
Factoring polynomials: x^2 + bx + c
Applications of polynomials: x^2 + bx + c
Solving polynomials with the unknown "b" from ax^2 + bx + c
Factoring polynomials: ax^2 + bx + c
Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
MA.912.AR.2.1
Write and solve one-variable multi-step linear equations
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
MA.912.AR.2.2
Write a linear two-variable equation from a graph, description or table
Relationship between two variables
General form: Ax + By + C = 0
Point-slope form: y - y_1 = m(x - x_1)
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
MA.912.AR.2.3
Write a linear two-variable equation for parallel or perpendicular lines
Parallel line equation
Perpendicular line equation
Combination of both parallel and perpendicular line equations
MA.912.AR.2.4
Graph a linear function and determine its key features
Graphing from slope-intercept form y=mx+b
Graphing linear functions using a single point and slope
Word problems of graphing linear functions
MA.912.AR.2.5
Solve and graph problems modeled with linear functions
Applications of linear relations
MA.912.AR.2.6
Solve one-variable linear inequalities
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
MA.912.AR.2.7
Write two-variable linear inequalities
Express linear inequalities graphically and algebraically
MA.912.AR.2.8
Graph the solution set to a two-variable linear inequality
Graphing linear inequalities in two variables
MA.912.AR.3.1
Solve one-variable quadratic equations
Solving quadratic equations by factoring
Solving quadratic equations by completing the square
Using quadratic formula to solve quadratic equations
MA.912.AR.3.4
Write a quadratic function from a graph, description or table
Quadratic function in general form: y = ax^2 + bx + c
Quadratic function in vertex form: y = a(x-p)^2 + q
MA.912.AR.3.5
Given x-intercepts and another point, write a quadratic function equation
Finding the quadratic functions for given parabolas
MA.912.AR.3.6
Determine the vertex and zeros of a quadratic function
Shortcut: Vertex formula
Graphing quadratic functions: General form VS. Vertex form
MA.912.AR.3.7
Graph a quadratic function and determine its key features
Transformations of quadratic functions
Converting from general to vertex form by completing the square
MA.912.AR.3.8
Solve and graph problems modeled with quadratic functions
Applications of quadratic functions
MA.912.AR.4.1
Solve one-variable absolute value equations
Solving absolute value equations
MA.912.AR.4.3
Graph absolute value functions and determine key features
Absolute value functions
MA.912.AR.5.3
Classify exponential functions as representing growth or decay
Exponential growth and decay by percentage
MA.912.AR.5.4
Write an exponential function from a graph, description or table
Finding an exponential function given its graph
MA.912.AR.5.6
Graph exponential functions and determine key features
Graphing exponential functions
Graphing transformations of exponential functions
MA.912.AR.9.1
Solve systems of two-variable linear equations
Solving systems of linear equations by graphing
Solving systems of linear equations by elimination
Solving systems of linear equations by substitution
MA.912.AR.9.4
Graph the solution set of a system of two-variable linear inequalities
Graphing systems of linear inequalities
MA.912.AR.9.6
Represent constraints as systems of linear equations or inequalities
What is linear programming?
Linear programming word problems
MA.912.DP.1.1
Select appropriate method to represent data
Organizing data
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
MA.912.DP.1.2
Interpret data distributions
Stem and leaf plots
Frequency tables and dot plots
MA.912.DP.1.3
Explain difference between correlation and causation
Influencing factors in data collection
MA.912.DP.1.4
Estimate population total, mean or percentage using sample survey
Determining probabilities using tree diagrams and tables
MA.912.DP.2.4
Fit a linear function to bivariate numerical data
Bivariate, scatter plots and correlation
Regression analysis
Equation of the best fit line
MA.912.DP.3.1
Construct and interpret two-way frequency tables
Reading and drawing Venn diagrams
MA.912.F.1.1
Determine function type from equation, graph, or table
Identifying functions
MA.912.F.1.2
Evaluate a function for an input in its domain
Function notation
MA.912.F.1.3
Calculate and interpret average rate of change
Rate of change
MA.912.F.1.5
Compare key features of linear functions
Parallel and perpendicular lines in linear functions
MA.912.F.1.6
Compare key features of linear and nonlinear functions
Introduction to nonlinear equations
MA.912.F.1.8
Determine whether a linear, quadratic or exponential function best models a situation
Direct variation
MA.912.F.2.1
Identify the effect on the graph or table of a given function after transformations
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
MA.912.FL.3.2
Solve problems involving simple and compound interest
Finance: Compound interest
Continuous growth and decay
MA.912.FL.3.4
Explain relationship between simple interest and linear growth, compound interest and exponential growth
Exponential growth and decay by a factor
Exponential decay: Half-life
MA.912.NSO.1.1
Extend Laws of Exponents to rational exponents
Convert between radicals and rational exponents
Exponents: Rational exponents
MA.912.NSO.1.2
Generate equivalent algebraic expressions using properties of exponents
Combining the exponent rules
Exponents: Power rule: (a^x)^y = a^(xy)
Exponents: Negative exponents
Exponents: Zero exponent: a^0 = 1
MA.912.NSO.1.4
Apply operations with rational numbers to add, subtract, multiply and divide numerical radicals
Adding and subtracting radicals
Multiplying and dividing radicals
Rationalize the denominator

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