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Math
Oklahoma Math
Algebra 1 (A1): Algebraic Reasoning & Algebra (A)
Use knowledge of solving equations with rational values to represent, use and apply mathematical models (e.g., angle measures, geometric formulas, dimensional analysis, Pythagorean theorem, science, statistics) and interpret the solutions in the original context.
Solve absolute value equations and interpret the solutions in the original context.
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Analyze, use and apply mathematical models to solve problems involving systems of linear equations with a maximum of two variables by graphing, substitution, and elimination. Graphing calculators or other appropriate technology may be utilized. Interpret the solutions in the original context.
- Comparing linear rates example
- Comparing linear rates word problems
- Equivalent systems of equations review
- Intro to graphing systems of inequalities
- Reasoning with systems of equations
- Reasoning with systems of equations
- Systems of equations with elimination (and manipulation)
- Systems of equations with elimination challenge
- Systems of equations with elimination: apples and oranges
- Systems of equations with elimination: coffee and croissants
- Systems of equations with elimination: King's cupcakes
- Systems of equations with elimination: potato chips
- Systems of equations with elimination: TV & DVD
- Systems of equations with substitution: potato chips
- Systems of equations word problems (with zero and infinite solutions)
- Worked example: equivalent systems of equations
- Worked example: non-equivalent systems of equations
Represent relationships using mathematical models with linear inequalities; solve the resulting inequalities, graph on a coordinate plane, and interpret the solutions.
- Graphs of two-variable inequalities word problem
- Interpreting two-variable inequalities word problem
- Intro to graphing systems of inequalities
- Modeling with systems of inequalities
- Solving two-variable inequalities word problem
- Systems of inequalities graphs
- Two-variable inequalities word problems
- Using inequalities to solve problems
- Using inequalities to solve problems
- Writing two-variable inequalities word problem
Represent relationships using mathematical models with compound and absolute value inequalities and solve the resulting inequalities by graphing and interpreting the solutions on a number line.
A1.A.3
Create and evaluate equivalent algebraic expressions and equations using algebraic properties.
Solve equations involving several variables for one variable in terms of the others.
Simplify polynomial expressions by adding, subtracting, or multiplying.
- Add & subtract polynomials
- Add polynomials (intro)
- Adding and subtracting polynomials review
- Adding polynomials
- Analyzing polynomial identities
- Area model for multiplying polynomials with negative terms
- Binomial special products review
- Multiply binomials
- Multiply binomials by polynomials
- Multiply binomials by polynomials: area model
- Multiply binomials intro
- Multiply binomials: area model
- Multiply difference of squares
- Multiply monomials
- Multiply monomials by polynomials
- Multiply monomials by polynomials (basic): area model
- Multiply monomials by polynomials: area model
- Multiply monomials by polynomials: Area model
- Multiply perfect squares of binomials
- Multiplying binomials by polynomials
- Multiplying binomials by polynomials review
- Multiplying binomials by polynomials: area model
- Multiplying binomials intro
- Multiplying binomials: area model
- Multiplying monomials
- Multiplying monomials by polynomials
- Multiplying monomials by polynomials review
- Multiplying monomials by polynomials: area model
- Polynomial identities introduction
- Polynomial special products: difference of squares
- Polynomial special products: difference of squares
- Polynomial subtraction
- Special products of the form (x+a)(x-a)
- Subtract polynomials (intro)
- Subtracting polynomials
- Warmup: Multiplying binomials
Factor common monomial factors from polynomial expressions and factor quadratic expressions with a leading coefficient of 1.
- Difference of squares intro
- Difference of squares intro
- Factoring by grouping
- Factoring perfect squares: missing values
- Factoring quadratics as (x+a)(x+b)
- Factoring quadratics as (x+a)(x+b) (example 2)
- Factoring quadratics in any form
- Factoring quadratics intro
- Factoring quadratics: Difference of squares
- Factoring quadratics: leading coefficient = 1
- Factoring quadratics: Perfect squares
- Factoring simple quadratics review
- More examples of factoring quadratics as (x+a)(x+b)
- Perfect square factorization intro
- Perfect squares intro
- Quadratic equations word problem: box dimensions
- Quadratic equations word problem: triangle dimensions
- Quadratic word problems (standard form)
- Quadratics by factoring (intro)
- Solving quadratics by factoring
- Solving quadratics by factoring
- Solving quadratics by factoring review
Evaluate linear, absolute value, rational, and radical expressions. Include applying a nonstandard operation such as x ⨀ y=2x+y
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Analyze, use and apply mathematical models and other data sets (e.g., graphs, equations, two points, a set of data points) to calculate and interpret slope and the x- and y-intercepts of a line.
- Average rate of change review
- Average rate of change word problem: graph
- Average rate of change word problem: table
- Average rate of change word problems
- Average rate of change: graphs & tables
- Calculating slope from tables
- Constructing linear equations from context
- Finding slope and intercepts from tables
- Forms of linear equations review
- Horizontal & vertical lines
- Intercepts from a table
- Intro to point-slope form
- Linear equation word problems
- Linear equations word problems
- Linear equations word problems: tables
- Point-slope & slope-intercept equations
- Relating linear contexts to graph features
- Slope and intercept meaning from a table
- Slope and intercept meaning in context
- Slope and y-intercept from equation
- Slope in a table
- Slope, x-intercept, y-intercept meaning in context
- Standard form review
- Using slope and intercepts in context
- Worked example: average rate of change from table
- Writing linear equations word problems
Analyze and interpret mathematical models involving lines that are parallel, perpendicular, horizontal, and vertical.
- Horizontal & vertical lines
- Parallel & perpendicular lines from equation
- Parallel & perpendicular lines from graph
- Parallel & perpendicular lines from graph
- Parallel lines from equation
- Parallel lines from equation (example 2)
- Parallel lines from equation (example 3)
- Perpendicular lines from equation
- Writing equations of perpendicular lines
- Writing equations of perpendicular lines (example 2)
Write the equation of the line given its slope and y-intercept, slope and one point, two points, x- and y-intercepts, or a set of data points.
Express linear equations in slope-intercept, point-slope, and standard forms. Convert between these forms.
- Clarifying standard form rules
- Convert linear equations to standard form
- Converting from slope-intercept to standard form
- Forms of linear equations review
- Intro to linear equation standard form
- Intro to point-slope form
- Linear equations in any form
- Point-slope & slope-intercept equations
- Point-slope form
- Point-slope form review
- Standard form review
Analyze and interpret associations between graphical representations and written scenarios.