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**ALGEBRA I CURRICULUM ALIGNMENT**

| 1) REVIEW: Perform basic math operations with fractions and integers. | 2) Recognize basic math concepts related with 0 and 1. Simplify expressions and solve equations using order of Operations. | 3) Compare, order, and locate real numbers on a number line. | 4) Part I: Evaluate, compute with and determine equivalent numeric and algebraic expressions with real numbers and variables that may also include absolute value and integer exponents. (Targets a - c) | 4) Part II: Evaluate, compute with and determine equivalent numeric and algebraic expressions with real numbers and variables that may also include square roots, pi, and/or scientific notation. (Targets d - f) | 5) Part I: Develop, identify, and/or justify equivalent expressions and one-step equations using the properties of exponents, equality as well as the commutative, associative, inverse, and distributive property. (Targets a - e) | 5) Part II: Develop, identify, and/or justify equivalent multi-step equations using the properties of exponents, equality as well as the commutative, associative, inverse, identity, and distributive property. (Targets f - i) | 6) Identify, construct, extend, and analyze linear patterns and functional relationships that are expressed contextually, numerically, algebraically, graphically, in tables, or using geometric figures. | 7) 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. | 8) REVIEW: solve 1-step equations, identify coordinates of points graphed on a coordinate plane, graph points from a given set of coordinates on the coordinate plane, and order a set of 5 real numbers | 9) Given a rule, a context, two points, a table of values, a graph, or a linear equation in either slope intercept or standard form, identify the slope of the line, determine the x and/or y intercepts, and interpret the meaning of each. | 10) 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. | 11) Given a linear function, interpret and analyze the relationship between the independent and dependent variables. 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. | 12) Write, use, and solve linear equations and inequalities using graphical and symbolic methods with one or two variables. Represent solutions on a coordinate graph or number line. |
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| Not Applicable | Not Applicable | H.1A.1 | H.1A.2,3 | H.1A.2,3 | H.1A.4 | H.1A.4 | H.2A.1 | H.1A.4 | Not Applicable | H.2A.2 | H.2A.3 | H.2A.5,6 | H.2A.7 |

| 1. Review: Use Order of Operations in real number expressions, calculate powers of real numbers, evaluate expressions that include distributive property, powers and absolute value, find the roots of real numbers. | 2. Solve systems of two linear equations graphically and algebraically, and solve systems of two linear inequalities graphically. | 3. Classify polynomial expressions by terms and degree. Add and subtract polynomials to simplify polynomial expressions. | 4. Multiply a variety of polynomial expressions: Polynomial by monomial using distributive property, linear by linear using the acronym FOIL and stack method, identifying patterns that occur due to particular factors. Use long division model to divide a polynomial by a binomial. | 5. Given a quadratic function, identify a corresponding table or graph. Given a table or graph that represents a quadratic function, extend the pattern to make predictions. | 6. Given an exponential function, identify a corresponding table or graph. Given a table or graph that represents an exponential function, extend the pattern to make predictions. | 7. Given a quadratic or exponential function, interpret and analyze the relationship between the independent and dependent variables, and evaluate the function for specific values of the domain. | 8. Review: Given dimensions of a basic 2-dimensional or 3-dimensional figure, calculate perimeter, area and volume with appropriate units. Given integers, find greatest common factors. | 9. Compare the characteristics of linear, quadratic, and exponential functions that are expressed in a table of values, algebraically, and/or graphically, and determine the domain and range of each as it applies to a given context. | 10. Factor quadratic expressions limited to factoring common monomial terms, perfect-square trinomials, differences of squares, and quadratics that factor over the integers. | 11. 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. | 12. Perform basic operations on rational expressions. Solve for a variable in a proportion of two rational expressions. | 13. Express square roots in equivalent radical form and their decimal approximations when appropriate. Perform basic operations with square roots. Rationalize fractions that have a square root in the denominator. | 14. Use Pythagorean Theorem to solve for unknown lengths in right triangles. |
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| Not Applicable | H.2A.8 | Not Applicable | Not Applicable | H.3A.1,2 | H.3A.1,2 | H.3A.4 | Not Applicable | H.3A.3 | H.1A.5 | H.1A.5 | Not Applicable | H.1A.4 | H.1G.4a |