Algebra I Chapter 4 Curriculum and IXL

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1 Chapter 4 Curriculum and IXL C4L1 Functions and Non-Functions Represent relations as mappings, sets of points, and graphs: WS Determine whether a relation is a function or not: WS C4L2 Linear and Non-Linear relations Determine whether a set of points is a linear relation or not: WS Determine whether a graph represents a linear relation or not: WS C4L3 Domain, Range, Independent, Dependent Determine the domain and range of discrete and continuous relations: WS Determine the independent and dependent quantities of relations: WS C4L4 Evaluating Functions, using Function Notation Evaluate a function given a graph: WS Evaluate a function given a table: WS Evaluate a function given an equation: WS Evaluate a function given a set of points: WS C4L5 Arithmetic Sequences Find the subsequent terms of an arithmetic sequence: WS Find the common difference of an arithmetic sequence: WS Write the equation for an arithmetic sequence: WS Algebra I Chapter 2 Curriculum and IXL C2L7 Solving Proportions Solve given proportions: C.5 and WS Write and solve a proportion given a real-world situation: C.6 C2L8 Proportions and Similar Figures State the congruent angle relationships of similar figures: F.6, F.7 State the proportional side relationships of similar figures: F.6, F.7

2 Chapter 5 Curriculum and IXL C5L1 Rate of Change and Slope Find slope from graphs: S.2 Find slope from tables: WS Find slope from sets of points: S.3 Find slope from real-world situations: WS Find the missing coordinate of a point using slope: S.4 C5L3 Slope-Intercept Form and Direct Variation Find the slope and y-intercept from equations, graphs, and situations: S.5, WS Write an equation in slope-intercept form given the slope and y-intercept or a graph: S.7, S.8 Sketch a graph given an equation in slope-intercept form: S.6 C5L4 Point-Slope Form Write a linear equation in point-slope form given a graph: S.17 Write a linear equation in point-slope form given a point and the slope: S.18 Write a linear equation in point-slope form given two points or a situation: WS Graph an equation of a line from point-slope form: S.16 Graph an equation of a line given a point and the slope: WS C2L5 Literal Equations and Formulas Solve equations for a specified variable: WS C5L5 Standard Form Find x- and y-intercepts from an equation: S.12 Sketch a line given the intercepts or an equation in standard form: S.13, WS Determine whether a line is horizontal or vertical given an equation: S.14 Sketch horizontal and vertical lines given an equation: S.15 Write an equation in standard form given an equation in any form: WS

3 Chapter 3 Curriculum and IXL C3L4 Multi-Step Inequalities in One Variable Write an inequality given a graph: K.2 Solve inequalities in one variable: K.4, K.5, K.6, K.8, K.10 Graph Inequalities with one variable on a number line: K.1, K.7, K.9, K.11 C3L6 Compound Inequalities in One Variable Solve compound inequalities: K.14 Graph compound inequalities on a number line: K.12, K.15 Write a compound inequality given a graph: K.13 C6L5 Linear Inequalities in Two Variables Graph a linear inequality on a coordinate plane: T.3 C3L7 Absolute Value Equations and Inequalities in One Variable Solve absolute value equations: L.1 Graph solutions to absolute value equations on a number line: L.2 Solve absolute value inequalities: L.3 Graph solutions to absolute value inequalities on a number line: L.4 C5L8 Graphing Absolute Value Functions in Two Variables Describe the transformations needed to obtain a given absolute value graph using the parent function: WS Use transformations of the absolute value parent function to graph a given absolute value function: WS State the equation of the graph of an absolute value function: WS Algebra I Chapter 6 Curriculum and IXL C6L1 Solving Systems of Equations by Graphing Solve systems of equations by graphing: U.2 C6L2 Solving Systems of Equations by Substitution Solve systems of linear equations by substitution: U.8 C6L3 Solving Systems of Equations by Elimination Solve systems of linear equations by elimination: U.10 C6L4 Applications of Linear Systems Word Problems Write a system of equations and solve it given a real-world situation: WS

4 Chapter 12 Curriculum and IXL C12L1 Measures of Central Tendencies Find the mean, median, mode, and range given a set of numbers or a graph: KK.1 Find the missing data value given a set of numbers and mode or median KK.1 C12L2 Box-and-Whisker Plots Find the minimum, lower quartile, median, upper quartile, maximum, and interquartile range given a set of numbers or a box-and Whisker Plot KK.2, N.5 C12L3 Bar Graphs, Line Graphs, and Histograms Interpret bar graphs, line graphs, and histograms N.1 Create bar graphs, line graphs, and histograms N.2 C12L4 Circle Graphs Interpret circle graphs and answer questions about circle graphs N.3 C12L5 Stem-and-Leaf Plots Interpret stem-and-leaf plots N.4 C12L6 Scatter Plots Interpret scatter plots N.6 Line of best fit N.7 C12L7 Theoretical Probability Answer questions using theoretical probability JJ.1 C12L8 Applications Apply concepts learned to word problems - WS

5 Mid-Chapter 8 Curriculum and IXL C8L1 Classifying, Adding, and Subtracting State the degree of a monomial or polynomial: Z.1 Classify a polynomial (linear, quadratic, cubic; monomial, binomial, trinomial): Z.1 Add and Subtract polynomials: Z.4 C8L2 Multiplying and Factoring Find product of monomial and binomial or trinomial: Z.6 (no multiple variables add WS) Distribute and simplify polynomials: WS ie: 4x (x 2 2) 3 (x + 7) Find the GCF: AA.1 (multiple variables after smart score of 90) Factor out the GCF: AA.2 (multiple variables after smart score of 90) C8L3 Multiplying Binomials Multiply two binomials: Z.8 (no multiple variables or higher powers add WS) Multiply binomial and trinomial: Z.10 interspersed with other problems add WS Find coefficient of x in product of two binomials: add WS Multiply and simplify, then write in standard form: Z.10 (includes product of binomial & trinomial) C8L4 Multiplying Special Cases Difference of two squares: Z.9 (no multiple variables or higher powers need WS) Perfect square trinomials: Z.9 (no multiple variables or higher powers need WS) Word problems: need WS

6 Chapter 7 Curriculum and IXL C7L1 Zero and Negative Exponents Simplify Expressions with zero exponents: WS Simplify Expressions with Negative Exponents: V.3 Evaluate Variable expressions having Negative and Zero Exponents: WS Fill In the Box: WS C7L2 Multiplying Powers with the Same Base Products of expressions with Like Bases: V.4 (multiple variables > 90) and WS Fill In the Box: WS C7L3 More Multiplication Properties of Exponents Power of a Power: V.7 Power of a Power and simplify: V.7 Fill in the Box: WS C7L4 Exponents and Exponential Functions Dividing Expressions with Like Bases: V.2, V.5, V.8, Y.3 Power of a Quotient: WS C7L5 Rational Exponents and Radicals Simplify Radical Expressions: WS Write in Radical Form: WS Write in Rational Exponent Form: WS C7L7 Exponential Growth and Decay Identify Initial Amount and Growth or Decay Rate: WS Determine Growth or Decay: WS Write an Exponential Model: WS Predict Value after Growth or Decay: X.3

7 Chapter 8 Curriculum and IXL C8L5 Factoring ax 2 + bx + c; a = 1 Factor quadratic trinomials: AA.3 Factor quadratic trinomials with 2 variables: WS Factor quadratic trinomials of higher degree: WS WP: WS C8L6 Factoring ax 2 + bx + c; a 1 Factor quadratic trinomials: AA.4 (includes a common factor) Factor quadratic trinomials with 2 variables: WS WP: WS C8L7 Factoring Special Cases Factor Difference of Two Squares: AA.5 (includes a common factor) Factor Perfect Square Trinomials: AA.5 (includes a common factor) Factor with 2 variables: WS WP: WS C8L8 Factoring by Grouping Factor by grouping with one variable: AA.6 (includes problems not in descending order) WP: WS

8 Chapter 9 Curriculum and IXL C9L3 Solving Quadratic Equations Solve quadratic equation by taking the square root: BB.4 Word problems: WS C9L4 Factoring to Solve Quadratic Equations Use the Zero Product Property to solve: BB.5 Solve by factoring: BB.6 Word problems: WS Use graph to state solution(s) to quadratic equation: WS C9L5 Completing the Square Find constant to complete a perfect square trinomial: BB.7 Solve quadratic equation by completing the square: BB.8 and WS for exact answers Find the vertex of a parabola by completing the square: WS C9L6 The Quadratic Formula and the Discriminant Use quadratic formula to find exact answers to quadratic equation: WS Use quadratic formula to approximate solutions to quadratic equation: BB.9 Word problems: WS C9L7 Linear, Quadratic, and Exponential Models: Use graph to determine linear, quadratic, or exponential: CC.1 Use table to determine linear, quadratic, or exponential: CC.2

9 Chapter 10 Curriculum and IXL 10.1 The Pythagorean Theorem: Use the Pythagorean Theorem to find the missing side length of a right triangle given the two other sides: F.14 (includes round to nearest tenth) Use the Pythagorean Theorem to determine whether the lengths of the sides of a triangle represent a right triangle: F.16 Use the Pythagorean Theorem to determine whether a set of three numbers is a Pythagorean Triple: Worksheet 10.2 Simplifying Radicals: Simplify radical expressions: EE.1 Rationalize the denominator of a radical expressions: EE Operations with Radical Expressions: Multiply radical expressions: EE.3 Find the sum or difference of two radical expressions: EE.4 Use the distributive property to multiply radical expressions: EE.5 Use the conjugate of the denominator to simplify a quotient with radicals: EE Solving Radical Equations: Solve radical equations with the radical on one side: FF.3 Solve radical equations with the radical on both sides: FF.4 Solve radical equations requiring factoring: WS 10.5 Graphing Square Root Functions: Find the domain of a square root function: Worksheet Use translations to graph a square root function: Worksheet

MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.

MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations. Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic