Основно съдържание
Math
- The Real Number System
- Quantities
- The Complex Number System
- Vector and Matrix Quantities
- Seeing Structure in Expressions
- Arithmetic with Polynomials and Rational Expressions
- Creating Equations
- Reasoning with Equations and Inequalities
- Interpreting Functions
- Building Functions
- Linear, Quadratic, and Exponential Models
- Interpreting Categorical and Quantitative Data
- Making Inferences and Justifying Conclusions
Arkansas Math
Bridge to Algebra II: Functional Relationships
Interpret the structure of expressions, write expressions in equivalent forms to solve problems, perform arithmetic operations on functions, and understand the relationship between zeros and factors of polynomials.
FR.1.BTAII.1
Not covered
(Content unavailable)
FR.1.BTAII.2
Fully covered
- Difference of squares
- Difference of squares intro
- Difference of squares intro
- Equivalent forms of exponential expressions
- Factor higher degree polynomials
- Factor monomials
- Factor polynomials using structure
- Factor polynomials: common factor
- Factoring by grouping
- Factoring difference of squares: analyzing factorization
- Factoring difference of squares: leading coefficient ≠ 1
- Factoring difference of squares: shared factors
- Factoring higher degree polynomials
- Factoring higher-degree polynomials: Common factor
- Factoring monomials
- Factoring perfect squares
- Factoring perfect squares: missing values
- Factoring perfect squares: negative common factor
- Factoring perfect squares: shared factors
- Factoring polynomials by taking a common factor
- Factoring quadratics as (x+a)(x+b)
- Factoring quadratics in any form
- Factoring quadratics: common factor + grouping
- Factoring quadratics: Difference of squares
- Factoring quadratics: leading coefficient = 1
- Factoring quadratics: leading coefficient ≠ 1
- Factoring quadratics: negative common factor + grouping
- Factoring quadratics: Perfect squares
- Factoring using the difference of squares pattern
- Factoring using the perfect square pattern
- Factoring with the distributive property
- Factorization with substitution
- Factorization with substitution
- GCF factoring introduction
- Identify quadratic patterns
- Identifying perfect square form
- Identifying quadratic patterns
- Intro to grouping
- Perfect square factorization intro
- Perfect squares
- Perfect squares intro
- Polynomial special products: difference of squares
- Polynomial special products: difference of squares
- Polynomial special products: perfect square
- Polynomial special products: perfect square
- Reasoning about unknown variables
- Reasoning about unknown variables: divisibility
- Solve equations using structure
- Solving quadratics using structure
- Strategy in factoring quadratics (part 1 of 2)
- Strategy in factoring quadratics (part 2 of 2)
- Taking common factor from binomial
- Taking common factor from trinomial
- Taking common factor: area model
- Which monomial factorization is correct?
- Worked example: finding missing monomial side in area model
- Worked example: finding the missing monomial factor
- Worked example: Rewriting expressions by completing the square
- Zeros of polynomials (factored form)
- Zeros of polynomials (with factoring)
FR.1.BTAII.3
Mostly covered
- Add & subtract polynomials
- Add polynomials (intro)
- Adding and subtracting polynomials review
- Adding polynomials
- Binomial special products review
- Factoring with the distributive property
- 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
- 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 special products: difference of squares
- Polynomial special products: difference of squares
- Polynomial special products: perfect square
- Polynomial special products: perfect square
- Polynomial subtraction
- Special products of the form (ax+b)(ax-b)
- Special products of the form (x+a)(x-a)
- Squaring binomials of the form (ax+b)²
- Squaring binomials of the form (x+a)²
- Subtract polynomials (intro)
- Subtracting polynomials
- Warmup: Multiplying binomials
FR.1.BTAII.4
Fully covered
- Comparing features of quadratic functions
- Difference of squares
- Features of quadratic functions
- Features of quadratic functions: strategy
- Finding features of quadratic functions
- Finding the vertex of a parabola in standard form
- Forms & features of quadratic functions
- Graph parabolas in all forms
- Graph quadratics in standard form
- Graphing quadratics review
- Graphing quadratics: standard form
- Interpret quadratic models
- Interpret quadratic models: Factored form
- Quadratic equations word problem: box dimensions
- Quadratic equations word problem: triangle dimensions
- Quadratic word problems (standard form)
- Quadratics by factoring
- Quadratics by factoring (intro)
- Solve equations using structure
- Solving quadratics using structure
- Worked examples: Forms & features of quadratic functions
FR.1.BTAII.5
Fully covered
- Graphs of polynomials
- Graphs of polynomials: Challenge problems
- Multiplicity of zeros of polynomials
- Positive & negative intervals of polynomials
- Positive & negative intervals of polynomials
- Vertex form introduction
- Zeros of polynomials (factored form)
- Zeros of polynomials (multiplicity)
- Zeros of polynomials (multiplicity)
- Zeros of polynomials (with factoring)
- Zeros of polynomials (with factoring): common factor
- Zeros of polynomials (with factoring): grouping
- Zeros of polynomials & their graphs
- Zeros of polynomials introduction
- Zeros of polynomials: matching equation to graph
- Zeros of polynomials: matching equation to zeros
- Zeros of polynomials: plotting zeros
FR.1.BTAII.6
Partially covered
- A compound inequality with no solution
- Compound inequalities
- Compound inequalities examples
- Compound inequalities review
- Compound inequalities: AND
- Compound inequalities: OR
- Double inequalities
- Linear equations with unknown coefficients
- Linear equations with unknown coefficients
- Multi-step linear inequalities
FR.1.BTAII.7
Fully covered
- Elimination method review (systems of linear equations)
- Equivalent systems of equations
- Equivalent systems of equations review
- Reasoning with systems of equations
- Systems of equations with elimination
- 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 elimination: x-4y=-18 & -x+3y=11
- Systems of equations with substitution: potato chips
- Systems of equations word problems (with zero and infinite solutions)
- Why can we subtract one equation from the other in a system of equations?
- Worked example: equivalent systems of equations
- Worked example: non-equivalent systems of equations
FR.1.BTAII.8
Mostly covered
- Comparing features of quadratic functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problems
- Comparing maximum points of quadratic functions
- Exponential vs. linear growth over time
- Function notation word problems
- Interpret change in exponential models
- Interpret change in exponential models: changing units
- Interpret change in exponential models: with manipulation
- Interpret exponential expressions word problems
- Interpret quadratic models
- Interpret quadratic models: Factored form
- Interpret quadratic models: Vertex form
- Interpret time in exponential models
- Interpreting change in exponential models
- Interpreting change in exponential models: changing units
- Interpreting change in exponential models: with manipulation
- Interpreting time in exponential models
- Linear equations word problems
- Linear models word problems
- Worked example: domain & range of piecewise linear functions
- Worked examples: Forms & features of quadratic functions