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PSAT 8-9
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1.0 Heart of Algebra
1.1 Variable Expressions & Equations
1.1a Create and Simplify Linear Expressions
1.1b Create and Solve Linear Equations
1.1c Interpret expressions/equations
1.2 Variable Linear Inequalities
1.2a Create, Solve, or Interpret Inequalities
1.2b Solve Inequalities
1.3 Functions
1.3-5a Build Linear Functions /Systems
1.4 Systems of Inequalities
1.4bc Solve /Interpret Inequality Systems
1.6 Variable Linear Equations
1.6a Solve multi-step equations
1.6b Solve multi-step inequalities
1.6c Value of constant/coefficient
1.5 Linear Systems
1.5b Solve Systems 3 different ways
1.5c Interpret systems
1.7 Variable Linear Equations
1.7a Solve 2 variable systems
1.9 Graphical Connections
1.9ab Connect graphs /equations
1.9d Identify key features
1.9c Equation of a Line - slope intercept, point slope
1.9e Identify Affects on a Graph
2.0 Problem Solving and Data Analysis
2.1 Proportions
2.1a Determine ratio/rate
2.1b Calculate ratio/rate
2.2 Percents
2.2ab Determine /Calculate percentage
2.3 Measurements
2.3b Complete unit conversions
2.3a Find unit rate
2.3c Calculate Density
2.4 Scatterplots
2.4b Select curve of best fit
2.4a Select equation of a line/best fit
2.5 Graphical Representations
2.5ab Read & Categorize Graphical Representations
2.6 Exponential Growth
2.6a Compare linear & exponential growth
2.7 Categorical Data
2.7a Summarize conditional frequencies
2.7b Calculate conditional probabilities
2.7c Calculate association between two variables
2.7d Summarize data to calculate independence of events
2.8 Population Data
2.8a Estimate population parameters
2.9 Measures of Central Tendency
2.9a Calculate/Compare measures of central tendency
2.10 Data Collection
2.10a Make inferences through tables, graphs or text summaries
3.0 Passport to Advanced Mathematics
3.3 Rational Exponents
3.3a Create equivalent expressions with rational exponents
3.4 Quadratic Equations
3.4a Solve quadratic equations by Factoring
3.4b Solving Quadratic Equations other than Factoring
3.4.3 Generate Equivalent Expressions
3.5 Polynomial Operations
3.5a Add, Subtract & Multiply Polynomials
3.1 Quadratic & Exponential Functions
3.1a Create quadratic functions
3.1b Create exponential functions
3.2 Forms of Quadratics
3.2a Identify traits of expressions/equations
3.6 Rational Equations (Variable in Denominator)
3.6a Solve rational equations
3.6b Solve Radical Equations
3.7 Linear/Quadratic Systems
3.7a Solve system with linear & quadratic
3.8 Rational Expressions
3.8a Add & Subtract rational expressions
3.8b Multiply and divide rational expressions
3.8c Polynomial Long Division and Synthetic Division
3.9 Nonlinear Equations
3.9a Interpret nonlinear equations
3.10 Polynomial Relationships
3.10a Factoring polynomials
3.11 Nonlinear Relationships
3.11a Interpret nonlinear graphs
3.12 Transformation of Functions
3.12a Solve transformation: af(x)
3.12b Solve transformation: f(bx)
3.12c Solve transformation: f(x-c)
3.12d Solve transformation: f(x)+d
3.12e Compositions of functions f(g(x))
3.13 Solving literal equations
3.13a Isolate variables
4.0 Additional Topics in Math
4.1 Volume
4.1a Calculate Volume
4.2 Trigonometry
4.2a Solve Right Triangle Problems
4.3 Complex Number Operations
4.3a Add & Subtract Complex Numbers
4.3b Multiply & Divide Complex Numbers
4.4 Radians & Degrees of a Circle
4.4a Convert Radians and Degrees
4.5 Circle Theorems
4.5a Apply Circle Theorems
4.6 Congruence & Similarity
4.6a Find Missing lengths of Similar Triangles
4.7 Triangle Similarity & Trig Ratios
4.7a Find Missing Sides and Angles of Similar Triangles
4.8 Circles in the Coordinate Plane
4.8a Create and Solve Circle Equations
SAT
ACT
STAAR
Science
8th
8.5A - Matter and energy - describe the structure of atoms, including the masses, electrical charges, and locations, of protons and neutrons in the nucleus and electrons in the electron cloud
8.5 B - Matter and Energy - identify that protons determine an element’s identity and valence electrons determine its chemical properties, including reactivity
CBE
Math
8.8AS
8.5IR
8.3AS
8.8CR
8.2DR
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