ACT English I Scope And Sequence - Edgenuity Inc.

ACT Math I Unit Lesson Using Formulas Scope and Sequence Lesson Objectives Solve problems by using formulas. Solve problems involving the perimeters and areas of rectangles. Translations Draw translated images by using repeated reflections. Draw translated images using coordinates. Multiplying Binomials Find products of binomials using the FOIL method. Mentally simplify special products of binomials. Frequency Tables and Stem-and-Leaf Plots Organize and interpret data in frequency tables and stem-and-leaf plots. Measuring Length Construct a geometry ruler. Define length and congruent. Identify and use the Segment Addition Postulate. Graphing Systems of Equations Graph systems of equations. Solve a system of equations by inspecting a graph. Arithmetic Series Find sums of arithmetic series. Using sigma notation. Area: Parallelograms Find areas of parallelograms. Find areas of rectangles. Special Functions Write, graph, and apply special functions: piecewise, step, and absolute value. Rotations Draw rotated images using the angle of rotation. Identify figures with rotational symmetry. Properties of Logarithms Simplify and evaluate expressions using the properties of logarithms. Solve logarithmic equations using the properties of logarithms. Exponents Use exponents. Use the order of operations with exponents. Edgenuity Inc. Confidential Page 3 of 5

ACT Math I Unit Scope and Sequence Lesson Lesson Objectives Circles and Circumference Identify and use parts of circles. Solve problems involving the circumference of a circle. Similar Figures Determine whether figures are similar, use scale factors, and find missing dimensions in similar figures. Scientific Notation Calculate with scientific notation. Write and evaluate numbers in scientific notation. Isosceles and Equilateral Triangles Use and apply properties of isosceles triangles. Multiplying Fractions and Mixed Numbers Multiply fractions and mixed numbers. Factors and Greatest Common Factors Find prime factorizations of integers and monomials. Find the greatest common factors of integers and monomials. Using the Percent Proportion Use the percent proportion to solve problems. Distance and Midpoint Formulas Find the distance between two points using the Distance Formula. Find the midpoint of a segment using the Midpoint Formula. Simplifying Algebraic Expressions Use the distributive property to simplify algebraic expressions. Tangents Solve problems involving circumscribed polygons. Use properties of tangents. Complex Numbers Add, subtract, multiply, and divide complex numbers; and find complex zeros of quadratic functions Representing Linear Patterns Represent linear equations with graphs. Represent linear patterns with equations. Venn Diagrams Create and analyze Venn diagrams. Multistep Inequalities Solve multistep inequalities in one variable. State and apply the Multiplication and Division Properties of Inequality. Angles of a Polygon Determine the sum of the measures of the angles of an n-gon Circles Edgenuity Inc. Confidential Page 4 of 5

ACT Math I Unit Scope and Sequence Lesson Lesson Objectives Find central angles and make circle graphs. Find circumferences. Area of Complex Figures Find the area of complex figures. Solving Systems of Inequalities by Graphing Determine the coordinates of the vertices of a region formed by the graph of a system of inequalities. Solve systems of inequalities by graphing. Functions Determine whether a relation is a function. Find function values. Graphing Rational Functions Graph rational functions. Identify types of functions. Exponential Growth and Decay Determine the multiplier for exponential growth and decay. Write and evaluate exponential expressions to model growth and decay situations. Problem Solving: Interpret the Quotient Students solve problems by interpreting the quotient. Solving Trigonometric Equations Solve trigonometric equations and inequalities Edgenuity Inc. Confidential Page 5 of 5

ACT Math II Scope and Sequence Unit Lesson Lesson Objectives ACT Mathematics Test Format and Structure Taking the ACT Mathematics Test Identify the six categories of the ACT Mathematics Test and review sample test questions. Learn how to interpret the three types of ACT test scores. Understand strategies for taking the test. ACT Mathematics Percent of a Number Find the percent of a number. Dividing Decimals by Whole Numbers Students divide decimals by whole numbers. Scale Drawings and Models Construct scale drawings. Use scale drawings. Measures of Central Tendency Find appropriate measures of central tendency. Variables and Expressions Evaluate expressions containing variables. Translate verbal phrases into algebraic expressions. Angles of a Polygon Determine the sum of the measures of the angles of an n-gon Similar Figures Determine whether figures are similar, use scale factors, and find missing dimensions in similar figures. Using Formulas and Literal Equations Solve literal equations for a specific variable. Use formulas to solve problems. Problem Solving: Interpret the Quotient Students solve problems by interpreting the quotient. Solving Equations with Variables on Both Sides Solve equations with variables on both sides. Use equations with variables on both sides. Graphing Systems of Equations Graph systems of equations. Solve a system of equations by inspecting a graph. Other Sequences Find patterns in sequences. Edgenuity Inc. Confidential Page 1 of 5

ACT Math II Unit Scope and Sequence Lesson Lesson Objectives Area: Parallelograms Find areas of parallelograms. Find areas of rectangles. Triangles Classify triangles by angles and by sides. Find the missing angle measure of a triangle. Simplifying Rational Expressions Simplify rational functions. Writing Equations in Slope-Intercept Form Write an equation of a line given the slope and one point on a line. Write an equation of a line given two points on the line. Angle Relationships and Parallel Lines Identify adjacent and vertical angles. Relate angles formed by parallel lines and a transversal. Problem Solving: Make a Table Solve problems by making a table Solving Equations in the Form x² bx c 0 Solve quadratic equations by completing the square or by factoring. Sine, Cosine, and Tangent Ratios Find trigonometric ratios in right triangles. Use trigonometric ratios to solve problems. Parallel and Perpendicular Lines Determine whether lines are parallel. Determine whether lines are perpendicular. Reflections Draw reflected images. Recognize and draw lines of symmetry and points of symmetry. Functions Determine whether a relation is a function. Find function values. The Fundamental Counting Principle Find the number of possible outcomes in an experiment. Using the Percent Proportion Use the percent proportion to solve problems. Solving Open Sentences Involving Absolute Value Solve absolute-value inequalities, and express the solution as a range of values on a number line. Edgenuity Inc. Confidential Page 2 of 5

ACT Math II Unit Scope and Sequence Lesson Lesson Objectives Solving Inequalities Using Multiplication and Division Use division to solve inequalities. Use multiplication to solve inequalities. Combining Like Terms Combine like terms in an expression. Distance and Midpoint Formulas Find the distance between two points using the Distance Formula. Find the midpoint of a segment using the Midpoint Formula. Area: Circles Find areas of circles. Find areas of irregular figures that include parts of circles. Perimeter and Circumference Find the perimeter of a polygon and the circumference of a circle. Dilations Determine the scale factor for a given dilation. Determine whether a dilation is an enlargement, a reduction, or a congruence transformation. Trigonometric Identities Use identities to find trigonometric values. Use trigonometric identities to simplify expressions. Completing the Square Form a perfect-square trinomial from a given quadratic binomial. Write a given quadratic function in vertex form. Finding Percents Mentally Compute mentally with percents. Estimate with percents. Exponents Use exponents. Use the order of operations with exponents. Arithmetic Sequences Extend and write formulas for arithmetic sequences. Recognize arithmetic sequences. Placing Figures in the Coordinate Plane Name coordinates of special figures by using their properties. Scientific Notation Calculate with scientific notation. Write and evaluate numbers in scientific notation. Edgenuity Inc. Confidential Page 3 of 5

ACT Math II Unit Scope and Sequence Lesson Lesson Objectives Measuring Length Construct a geometry ruler. Define length and congruent. Identify and use the Segment Addition Postulate. Multiplying Binomials Find products of binomials using the FOIL method. Mentally simplify special products of binomials. Multiplication Matrix Multiply a matrix by a scalar. Multiply two matrices. Measuring and Classifying Angles Measure and describe angles. Prime Numbers and Prime Factorization Find factors of a number. Find the prime factorization. Tangents Solve problems involving circumscribed polygons. Use properties of tangents. Complex Numbers Add, subtract, multiply, and divide complex numbers; and find complex zeros of quadratic functions Area: Triangles and Trapezoids Find areas of trapezoids. Find areas of triangles. Isosceles and Equilateral Triangles Use and apply properties of isosceles triangles. Real Numbers and Absolute Value Compare real numbers. Simplify expressions involving opposites and absolute value. Using the Distributive Property Solve real-world problems by using multistep equations. Use the Distributive Property to solve equations. Area of Complex Figures Find the area of complex figures. The Pythagorean Theorem Identify right triangles. Use the Pythagorean Theorem. Edgenuity Inc. Confidential Page 4 of 5

ACT Math II Unit Scope and Sequence Lesson Lesson Objectives Arithmetic Series Find sums of arithmetic series. Using sigma notation. Special Functions Write, graph, and apply special functions: piecewise, step, and absolute value. Trigonometric Functions on the Unit Circle Find the values of six trigonometric functions of an angle in standard position given a point on its terminal side Find the values of six trigonometric functions using the unit circle Solving Quadratic Equations by Factoring Solve quadratic equations by factoring. Write a quadratic equation with given roots. Circles Graph circles. Write equations of circles. Exponential Growth and Decay Determine the multiplier for exponential growth and decay. Write and evaluate exponential expressions to model growth and decay situations. Properties of Logarithms Simplify and evaluate expressions using the properties of logarithms. Solve logarithmic equations using the properties of logarithms. Percent of Change Find percents of increase and decrease. Solve problems involving percents of change. Edgenuity Inc. Confidential Page 5 of 5

ACT Math III Scope and Sequence Unit Lesson Lesson Objectives ACT Mathematics Test Format and Structure Taking the ACT Mathematics Test Identify the six categories of the ACT Mathematics Test and review sample test questions. Learn how to interpret the three types of ACT test scores. Understand strategies for taking the test. ACT Mathematics Subtracting Mixed Numbers with Renaming Subtracting mixed numbers involving renaming. Multiplying Monomials Define exponents and powers. Find products of powers. Find the power of a power. Find the power of a product. Simplify products of monomials. Solving Equations Containing Percents Solve one-step equations containing percents. Roots of Real Numbers Simplify radicals. Use a calculator to approximate radicals. Mean, Median, Mode, and Range Students find the range, mean, median, and mode of a data set. Pythagorean Theorem Apply the Pythagorean theorem to real-world problems. Find a side length of a right triangle given the lengths of its other two sides. Distance and Midpoint Formulas Find the distance between two points using the Distance Formula. Find the midpoint of a segment using the Midpoint Formula. Volume: Prisms and Cylinders Find the volumes of cylinders. Find the volumes of prisms. Sine, Cosine, and Tangent Ratios Find trigonometric ratios in right triangles. Use trigonometric ratios to solve problems. Edgenuity Inc. Confidential Page 1 of 5

ACT Math III Unit Scope and Sequence Lesson Lesson Objectives Using Formulas Solve problems by using formulas. Solve problems involving the perimeters and areas of rectangles. Problem Solving: Interpret the Quotient Students solve problems by interpreting the quotient. Distributive Property Use the Distributive Property to evaluate expressions. Use the Distributive Property to simplify expressions. The Fundamental Counting Principle Find the number of possible outcomes in an experiment. Square and Square Roots Find square roots. Relations Find the inverse of a relation. Represent relations as sets of ordered pairs, tables, mappings, and graphs. Prime Numbers and Prime Factorization Find factors of a number. Find the prime factorization. Graphing Systems of Equations Graph systems of equations. Solve a system of equations by inspecting a graph. Roots and Zeros Determine the number and type of roots for a polynomial equation. Find the zeros of a polynomial function. Rotations Draw rotated images using the angle of rotation. Identify figures with rotational symmetry. Problem Solving: Make a Table Solve problems by making a table Properties of Parabolas Find maximum and minimum values of quadratic functions. Graph quadratic functions. Determinants Evaluate the determinant of a 2 X 2 matrix. Evaluate the determinant of a 3 X 3 matrix. Edgenuity Inc. Confidential Page 2 of 5

ACT Math III Unit Scope and Sequence Lesson Lesson Objectives Classic Puzzles in Two Variables Solve traditional math puzzles in two variables. Using Formulas and Literal Equations Solve literal equations for a specific variable. Use formulas to solve problems. Theoretical Probability Estimate probability using theoretical methods. Problem Solving: Work Backwards Solve problems by working backward Absolute Value Equations and Inequalities Solve absolute-value equations. Solve absolute-value inequalities, and express the solution as a range of values on a number line. Slope Find the slope of a line. Logarithms and Logarithmic Functions Evaluate logarithmic expressions. Solve logarithmic equations and inequalities. Proving Angle Relationships Write proofs involving congruent and right angles. Write proofs involving supplementary and complementary angles. Parallel and Perpendicular Lines Determine whether lines are parallel. Determine whether lines are perpendicular. Simplifying Algebraic Expressions Use the distributive property to simplify algebraic expressions. Solving Multi-Step Inequalities Solve two-step inequalities and graph the solutions of an inequality on a number line. Combining Like Terms Combine like terms in an expression. Trigonometric Identities Use identities to find trigonometric values. Use trigonometric identities to simplify expressions. Complex Numbers Add, subtract, multiply, and divide complex numbers; and find complex zeros of quadratic functions Edgenuity Inc. Confidential Page 3 of 5

ACT Math III Unit Scope and Sequence Lesson Lesson Objectives Angles and Radian Measure Change from radian measure to degree measure, and vice versa Find the area of a sector Find the length of an arc given the measure of the central angle Special Functions Write, graph, and apply special functions: piecewise, step, and absolute value. Area of Complex Figures Find the area of complex figures. Completing the Square Solve quadratic equations by completing the square. Solve quadratic equations by using the Square Root Property. The Triangle Inequality Apply the Triangle Inequality Theorem. Determine the shortest distance between a point and a line. Surface Areas of Prisms and Cylinders Find surface area of a cylinder. Find surface area of a prism. Scale Drawings and Models Construct scale drawings. Use scale drawings. Scientific Notation Calculate with scientific notation. Write and evaluate numbers in scientific notation. Areas of Parallelograms and Triangles Find the area of a parallelogram. Conditional Statements Analyze statements in if-then form. Write the converse, inverse, and contra positive of if-then statements. Relating Graphs to Events Interpret, sketch, and analyze graphs from situations. Slope-Intercept Form Model real-world data with an equation in slope-intercept form. Write and graph linear equations in slope-intercept form. Reflections Draw reflected images. Recognize and draw lines of symmetry and points of symmetry. Graphing Parabolas Discover how adding a constant to the parent function y x² affects the graph of the function. Use the zeros of a quadratic function to find the vertex of the graph of the function. Edgenuity Inc. Confidential Page 4 of 5

ACT Math III Unit Scope and Sequence Lesson Lesson Objectives Using the Percent Proportion Use the percent proportion to solve problems. Ratios and Rates Determine unit rates. Write ratios as fractions in simplest form. Periodic Graphs and Amplitude State the period and amplitude (if any) given the function rule or the graph of a sine, cosine, or tangent function Use the period and amplitude (if any) to sketch the graph of a sine, cosine, or tangent function Radical Equations Solve radical equations with extraneous solutions. Solve radical equations. Dividing Polynomials Divide polynomials using long division. Divide polynomials using synthetic division. Solving Quadratic Equations by Factoring Solve quadratic equations by factoring. Write a quadratic equation with given roots. Areas and Volumes of Similar Solids To find relationships between the ratios of the areas and volumes of similar solids. Trigonometric Functions on the Unit Circle Find the values of six trigonome

Grammar Skill: Identify the rules of punctuation and use correctly. Grammar: Punctuation - Apostrophes, Hyphens, Dashes, Parentheses, and Brackets . ACT English Prep: Grammar and Usage Grammar: Word Analysis Grammar Skill: Learn to analyze words through denotation, connotation, and etymology.