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Math
Oklahoma Math
Pre-Algebra (PA): Algebraic Reasoning & Algebra (A)
Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
- Checking if a table represents a function
- Checking if an equation represents a function
- Does a vertical line represent a function?
- Equations vs. functions
- Evaluate functions
- Evaluate functions from their graph
- Obtaining a function from an equation
- Recognize functions from graphs
- Recognize functions from tables
- Recognizing functions from graph
- Recognizing functions from table
- Recognizing functions from verbal description
- Recognizing functions from verbal description word problem
- Testing if a relationship is a function
- What is a function?
- Worked example: Evaluating functions from equation
- Worked example: Evaluating functions from graph
Use linear functions to represent and model mathematical situations.
Identify a function as linear if it can be expressed in the form y=mx + b or if its graph is a non-vertical straight line.
Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another.
- Graphing linear relationships word problems
- Graphing proportional relationships from a table
- Linear function example: spending money
- Linear functions word problem: fuel
- Linear functions word problem: iceberg
- Linear functions word problem: paint
- Linear functions word problem: pool
- Modeling with linear equations: gym membership & lemonade
- Modeling with linear equations: snow
- Recognizing linear functions
- Writing linear functions word problems
Identify, describe, and analyze linear relationships between two variables.
- Interpreting a graph example
- Linear & nonlinear functions: missing value
- Linear & nonlinear functions: word problem
- Linear equations word problems
- Linear function example: spending money
- Linear functions word problem: iceberg
- Linear functions word problem: paint
- Linear models word problems
- Modeling with linear equations: gym membership & lemonade
- Modeling with linear equations: snow
- Modeling with tables, equations, and graphs
- Number of solutions to a system of equations algebraically
- Rates & proportional relationships
- System of equations word problem: infinite solutions
- System of equations word problem: no solution
- System of equations word problem: walk & ride
- Writing linear functions word problems
Identify graphical properties of linear functions, including slope and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship.
- Graphing proportional relationships
- Graphing proportional relationships from a table
- Graphing proportional relationships from an equation
- Graphing proportional relationships: unit rate
- Intercepts from a graph
- Intercepts from a table
- Intercepts from an equation
- Intercepts from an equation
- Intercepts of lines review (x-intercepts and y-intercepts)
- Interpreting a graph example
- Interpreting graphs of functions
- Intro to slope
- Intro to slope-intercept form
- Intro to the coordinate plane
- Linear equations word problems: graphs
- Linear functions word problem: fuel
- Linear functions word problem: pool
- Linear graphs word problem: cats
- Number of solutions to equations challenge
- Positive & negative slope
- Rates & proportional relationships example
- Slope & direction of a line
- Slope formula
- Slope from equation
- Slope from equation
- Slope from graph
- Slope from two points
- Slope of a horizontal line
- Slope of a line: negative slope
- Slope review
- Slope-intercept equation from graph
- Slope-intercept equation from graph
- Slope-intercept equation from slope & point
- Slope-intercept equation from two points
- Slope-intercept form review
- Slope-intercept from two points
- Slope-intercept intro
- Worked example: intercepts from an equation
- Worked example: slope from graph
- Worked example: slope from two points
- Worked examples: slope-intercept intro
- Writing slope-intercept equations
- x-intercept of a line
Predict the effect on the graph of a linear function when the slope or y-intercept changes. Use appropriate tools to examine these effects.
Solve problems involving linear functions and interpret results in the original context.
Use substitution to simplify and evaluate algebraic expressions.
Justify steps in generating equivalent expressions by combining like terms and using order of operations (to include grouping symbols). Identify the properties used, including the properties of operations (associative, commutative, and distributive).
Solve mathematical problems using linear equations with one variable where there could be one, infinitely many, or no solutions. Represent situations using linear equations and interpret solutions in the original context.
- Creating an equation with no solutions
- Equation with the variable in the denominator
- Equations with parentheses
- Equations with variables on both sides
- Equations with variables on both sides: 20-7x=6x-6
- Equations with variables on both sides: decimals & fractions
- Intro to equations with variables on both sides
- Multi-step equations review
- Sums of consecutive integers
- Sums of consecutive integers
- Worked example: number of solutions to equations
Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form 𝑝𝑥 + 𝑞 > 𝑟 and 𝑝𝑥 + 𝑞 < 𝑟, where p, q, and r are rational numbers.
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Represent real-world situations using equations and inequalities involving one variable.