California
Math
Grade 9 Math Courses - California Curriculum
Discover California's Grade 9 Math courses: Algebra I and Mathematics I. Explore fundamental concepts, problem-solving skills, and prepare for advanced math studies in high school.
CA Grade 9 Math Curriculum - Algebra I and Math I Topics
ID | Standard | StudyPug Topic |
|---|---|---|
A1.N.RN.1 | CA.A1.N.RN.1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents |
A1.N.RN.2 | CA.A1.N.RN.2: Rewrite expressions involving radicals and rational exponents using the properties of exponents |
A1.N.RN.3 | CA.A1.N.RN.3: Explain why the sum or product of two rational numbers is rational; why the sum of a rational number and an irrational number is irrational |
A1.N.Q.1 | CA.A1.N.Q.1: Use units as a way to understand problems and to guide the solution of multi-step problems |
A1.N.Q.2 | CA.A1.N.Q.2: Define appropriate quantities for the purpose of descriptive modeling |
A1.N.Q.3 | CA.A1.N.Q.3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities |
A1.A.SSE.1 | CA.A1.A.SSE.1: Interpret expressions that represent a quantity in terms of its context |
A1.A.SSE.2 | CA.A1.A.SSE.2: Use the structure of an expression to identify ways to rewrite it |
A1.A.SSE.3 | CA.A1.A.SSE.3: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression |
A1.A.APR.1 | CA.A1.A.APR.1: Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations |
A1.A.CED.1 | CA.A1.A.CED.1: Create equations and inequalities in one variable and use them to solve problems |
A1.A.CED.2 | CA.A1.A.CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales |
A1.A.CED.3 | CA.A1.A.CED.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options |
A1.A.CED.4 | CA.A1.A.CED.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations |
A1.A.REI.3 | CA.A1.A.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters |
A1.A.REI.3.1 | CA.A1.A.REI.3.1: Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context |
A1.A.REI.4 | CA.A1.A.REI.4: Solve quadratic equations in one variable using various methods |
A1.A.REI.5 | CA.A1.A.REI.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions |
A1.A.REI.6 | CA.A1.A.REI.6: Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables |
A1.A.REI.7 | CA.A1.A.REI.7: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically |
A1.A.REI.10 | CA.A1.A.REI.10: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane |
A1.A.REI.11 | CA.A1.A.REI.11: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x) |
A1.A.REI.12 | CA.A1.A.REI.12: Graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes |
A1.F.IF.1 | CA.A1.F.IF.1: Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range |
A1.F.IF.2 | CA.A1.F.IF.2: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context |
A1.F.IF.3 | CA.A1.F.IF.3: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers |
A1.F.IF.4 | CA.A1.F.IF.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship |
A1.F.IF.5 | CA.A1.F.IF.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes |
A1.F.IF.6 | CA.A1.F.IF.6: Calculate and interpret the average rate of change of a function over a specified interval |
A1.F.IF.7 | CA.A1.F.IF.7: Graph functions expressed symbolically and show key features of the graph |
A1.F.IF.8 | CA.A1.F.IF.8: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function |
A1.F.IF.9 | CA.A1.F.IF.9: Compare properties of two functions each represented in a different way |
A1.F.BF.1 | CA.A1.F.BF.1: Write a function that describes a relationship between two quantities |
A1.F.BF.2 | CA.A1.F.BF.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms |
A1.F.BF.3 | CA.A1.F.BF.3: Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k |
A1.F.BF.4 | CA.A1.F.BF.4: Find inverse functions |
A1.F.LE.3 | CA.A1.F.LE.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function |
A1.F.LE.6 | CA.A1.F.LE.6: Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity |
A1.S.ID.1 | CA.A1.S.ID.1: Represent data with plots on the real number line (dot plots, histograms, and box plots) |
A1.S.ID.2 | CA.A1.S.ID.2: Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets |
A1.S.ID.5 | CA.A1.S.ID.5: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data |
A1.S.ID.7 | CA.A1.S.ID.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data |
A1.S.ID.8 | CA.A1.S.ID.8: Compute (using technology) and interpret the correlation coefficient of a linear fit |
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