Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra I Proficiencies 1. Compare and simplify expressions that can include exponents, absolute value and square root. (aka combine like terms) I can… Where can I find help? I can simplify (combine like terms) an expression. http://www.khanacademy.org/math/algebra/introduction-toalgebra/v/the-beauty-of-algebra http://www.khanacademy.org/math/algebra/introduction-toI can substitute a number algebra/v/abstract-ness into an expression then use the order of http://www.khanacademy.org/math/algebra/exponentsoperations to solve that radicals/v/simplifying-square-roots expression. http://www.khanacademy.org/math/algebra/exponentsradicals/v/simplifying-expressions-with-exponents 2. Write, use, and solve linear equations and inequalities using graphical and symbolic methods with one variable. Represent solutions on a number line. http://www.khanacademy.org/math/algebra/solving-linearI can solve a single and multiple step equation for equations/v/why-we-do-the-same--thing-to-both-sides--simpleequations a variable. I can solve an inequality then graph it on a number line. http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-one-step-equations http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-equations-1 http://www.khanacademy.org/math/algebra/solving-linearequations/v/two-step-equations http://www.khanacademy.org/math/algebra/solving-linearequations/v/multi-step-equations http://www.khanacademy.org/math/algebra/solving-linearequations/v/solving-equations-with-the-distributive-property http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/equations-and-inequalities http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/solving-inequalities http://www.khanacademy.org/math/algebra/solving-linearinequalities/v/multi-step-inequalities 3. Identify, construct, extend, and analyze linear patterns and functional relationships that are expressed contextually, numerically, algebraically, graphically, in tables, or using geometric figures. I can find a linear pattern then write an equation in slope intercept form for that pattern. http://www.khanacademy.org/math/algebra/solving-linearequations/v/equations-of-sequence-patterns http://www.khanacademy.org/math/algebra/algebrafunctions/v/recognizing-linear-functions I can determine if a linear http://www.khanacademy.org/math/algebra/algebrapattern is a function functions/v/introduction-to-functions when given a table, set of points, mapping or a http://www.khanacademy.org/math/algebra/algebragraph. functions/v/graphing-a--basic-function http://www.khanacademy.org/math/algebra/algebrafunctions/v/functional-relationships-1 http://www.khanacademy.org/math/algebra/algebrafunctions/v/testing-if-a-relationship-is-a-function http://www.khanacademy.org/math/algebra/algebrafunctions/v/basic-linear-function 4. Determine the equation of a line given any of the following information: two points on a line, its slope and one point on the line, or its graph. Also determine an equation of a new line, parallel, or perpendicular to a given line, through a given point. I can determine the equation of a line given two points. I can determine the equation of a line given the slope and one point. http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-of-a-line http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form http://www.khanacademy.org/math/algebra/linear-equations-and- I can determine the inequalitie/v/equation-of-a-line-1 equation of a line given a www.khanacademy.org/math/algebra/linear-equations-andgraph. inequalitie/v/equation-of-a-line-2 I can determine the http://www.khanacademy.org/math/algebra/linear-equations-andequation of a line parallel inequalitie/v/equation-of-a-line-3 to another line. I can determine the equation of a line perpendicular to another line. http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/parallel-lines http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/parallel-lines-2 http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/perpendicular-lines http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/perpendicular-lines-2 5. Fluently convert among representations of linear relationships given in the form of a graph of a line, a table of values, or an equation of a line in slope-intercept and standard form. I can convert between the following representations of a relation: ordered pairs, a table, a mapping and a graph. I can graph a linear line that is in slope intercept form. I can determine the equation of a line when viewing the graph. http://www.khanacademy.org/math/algebra/algebrafunctions/v/recognizing-linear-functions http://www.khanacademy.org/math/algebra/algebrafunctions/v/graphical-relations-and-functions http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition 6. Use or construct a scatter plot for a given data set, determine whether there is a positive or negative correlation; and if appropriate, sketch a line of best fit and use it to make predictions. I can take data and create a scatter plot graph of the data. I can determine if the data has a positive, negative or no correlation. I can sketch a line of best fit and find the equation for the line. I can use my equation to extrapolate (make predictions of the future). http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/fitting-a-line-to-data http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/application-problem-with-graph 7. Solve systems of two linear equations graphically and algebraically, and solve systems of two linear inequalities graphically. I can find the solution of two linear equations by graphing. I can find the solution of two linear equations by substitution. I can find the solution of two linear equations by elimination. http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing-2 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-graphing-3 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-1 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-2 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-substitution-3 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination-2 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/solving-systems-by-elimination-3 http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/graphing-systems-of-inequalities http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/v/graphing-systems-of-inequalities-2 8. Identify, simplify,add, subtract, multiply and divide monomials and polynomials. I can simplify an expression by addition and subtraction of monomials. I can simplify an expression by multiplication and division of monomials. I can distribute and combine like terms to simplify a polynomial. http://www.khanacademy.org/math/algebra/polynomials/v/simplya-polynomial http://www.khanacademy.org/math/algebra/polynomials/v/adding -polynomials http://www.khanacademy.org/math/algebra/polynomials/v/subtra cting-polynomials http://www.khanacademy.org/math/algebra/polynomials/v/multipl ying-monomials http://www.khanacademy.org/math/algebra/polynomials/v/dividin g-monomials http://www.khanacademy.org/math/algebra/polynomials/v/multipl ying-and-dividing-monomials-3 http://www.khanacademy.org/math/algebra/polynomials/v/multipl ying-binomials http://www.khanacademy.org/math/algebra/polynomials/v/square -a-binomial http://www.khanacademy.org/math/algebra/polynomials/v/special -products-of-binomials 9. Factor quadratic expressions limited to factoring common monomial terms, perfect-square trinomials and differences of squares. I can factor a quadratic expression in the form x2+bx+c. I can factor a quadratic expression in the form ax2+bx+c. http://www.khanacademy.org/math/algebra/polynomials/v/factorpolynomials-using-the-gcf http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-and-the-distributive-property http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-and-the-distributive-property-2 http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-quadratic-expressions http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-trinomials-by-grouping-2 http://www.khanacademy.org/math/algebra/polynomials/v/u09-l1t2-we3-factoring-trinomials-by-grouping-3 http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-trinomials-by-grouping-4 http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-trinomials-by-grouping-5 http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-trinomials-by-grouping-6 http://www.khanacademy.org/math/algebra/polynomials/v/factori ng-special-products 10. Solve for x given f(x) or solve for f(x) given x. Analyze how changing the parameters transforms the graph of y = mx + b. I can solve a function in function notation when given an x value. I can determine how changing values of a linear line transforms it on a graph. http://www.khanacademy.org/math/algebra/algebrafunctions/v/evaluating-functions http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/graphing-a-line-in-slope-intercept-form http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-and-y-intercept-intuition 11. Determine outcomes of theoretical probability problems including compound events, combinations and permutations. Know the definition and difference of experimental and theoretical probability. I can determine the outcomes using the fundamental counting principal. I can determine the probability of a combination. I can determine the probability of a permutation. I can define the difference between theoretical and experimental probability. http://www.khanacademy.org/math/probability/v/basic-probability http://www.khanacademy.org/math/probability/v/simple-probability http://www.khanacademy.org/math/probability/v/addition-rule-for-probability http://www.khanacademy.org/math/probability/v/compound-probability-ofindependent-events http://www.khanacademy.org/math/probability/v/dependent-probabilityexample-1 http://www.khanacademy.org/math/probability/v/probability--part-1 http://www.khanacademy.org/math/probability/v/permutations http://www.khanacademy.org/math/probability/v/combinations http://www.khanacademy.org/math/probability/v/permutationsand-combinations-1 http://www.khanacademy.org/math/probability/v/permutationsand-combinations-2 http://www.khanacademy.org/math/probability/v/permutationsand-combinations-3 http://www.khanacademy.org/math/probability/v/permutationsand-combinations-4 http://www.khanacademy.org/math/probability/v/megamillions-jackpot-probability 12. Given a table or graph that represents a quadratic function, extend the pattern to make predictions. Given a quadratic equation with integral roots, determine and interpret the roots, the vertex of the parabola, and an equation of its axis of symmetry. I can determine if a table or graph represents a quadratic function. I can determine the roots of a quadratic function using factoring and the quadratic formula. I can graph a quadratic function on a calculator and use it to answer questions about its vertex and roots. http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-1 http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-2 http://www.khanacademy.org/math/algebra/algebrafunctions/v/quadratic-functions-3 http://www.khanacademy.org/math/algebra/quadtratics/v/solvingquadratic-equations-by-factoring-avi http://www.khanacademy.org/math/algebra/quadtratics/v/quadrat ic-formula-1 http://www.khanacademy.org/math/algebra/algebrafunctions/v/graphing-a-quadratic-function