Unit / Organizational Title: - WCDE



Washington County, TN

Department of Education

Pacing Guide for

Algebra IA/IB

July 2010

|Prentice Hall Mathematics |Estimated instructional time to |

|Algebra 1 |complete: |

|Introduction |Continuous |

|First Block – Algebra IA (Prentice Hall Algebra I: Chapters 1-7) |

|Second Block – Algebra IB (Prentice Hall Algebra I: Chapters 8-12 & Additional Topics) |

|Date |Checks for understanding (CFU) |Rationale |

| |3102.1.1 Develop meaning for mathematical vocabulary. |Because of the generalized nature of these checks for understanding, continuous assessment in regard |

| |3102.1.2 Use the terminology of mathematics correctly. |to these areas should be implemented throughout the course. |

| |3102.1.3 Understand and use mathematical symbols, notation, and common mathematical abbreviations | |

| |correctly. | |

| |3102.1.18 Translate syntax of technology to appropriate mathematical notation. | |

| |3102.1.19 Recognize and practice appropriate use of technology in representations and in problem | |

| |solving. | |

| |3102.1.20 Estimate solutions to evaluate the reasonableness of results and to check technological | |

| |computation. | |

| | | |

| | | |

| | | |

| | | |

| | | |

|Chapter One |Estimated instructional time to |

|Tools of Algebra |complete: |

| |11 days |

|Pre-check skills and knowledge: operations with whole numbers; decimals and fractions; compare numerical expressions using inequality and equality signs; read and interpret graphs. |

|Unit Vocabulary: absolute value, coefficient, constant, coordinates, equation, exponent, integers, like terms, ordered pairs, origin, rational number, real numbers, reciprocal, variable |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.2 Write an equation symbolically to |3102.1.1 Develop meaning for mathematical vocabulary. |1-1 Using Variables |1-1 Video Tutor |

| |express a contextual problem. | | | |

| |3102.1.4 Translate between representations of|3102.1.2 Use the terminology of mathematics correctly | |1-1 Section Quiz |

| |functions that depict real-world situations | | | |

| | |3102.1.3 Understand and use mathematical symbols, notation, and common | | |

| | |mathematical abbreviations correctly. | | |

| |3102.1.3 Apply properties to evaluate |3102.2.1 Recognize and use like terms to simplify expressions. |1-2 Exponents & Order of Operations |1-2 Video Tutor |

| |expressions, simplify expressions, and |3102.2.2 Apply the order of operations to simplify and evaluate | | |

| |justify solutions to problems. |algebraic expressions | |1-2 Section Quiz |

| |3102.1.2 Write an equation symbolically to |3102.2.4 Operate efficiently with both rational and irrational numbers.|1-3 Exploring Real Numbers |1-3 Video Tutor |

| |express a contextual problem. |3102.2.7 Identify the subsets in the real number system and understand | | |

| |3102.2.3 Describe and/or order a given set of|their relationships. | |1-3 Section Quiz |

| |real numbers including both rational and | | | |

| |irrational | | | |

| |numbers. | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.2 Write an equation symbolically to |3102.1.15 Apply arithmetic concepts in algebraic contexts. |1-4 Adding Real Numbers |1-4 Video Tutor |

| |express a contextual problem |3102.2.4 Operate efficiently with both rational and irrational numbers.| | |

| | |3102.1.20 Estimate solutions to evaluate the reasonableness of results | |1-4 Section Quiz |

| | |and to check technological | | |

| | |Computation. | | |

| |3102.1.2 Write an equation symbolically to |3102.1.15 Apply arithmetic concepts in algebraic contexts. |1-5 Subtracting Real Numbers |1-5 Video Tutor |

| |express a contextual problem. |3102.1.20 Estimate solutions to evaluate the reasonableness of results | | |

| | |and to check technological | |1-5 Section Quiz |

| | |Computation. | | |

| | |3102.2.4 Operate efficiently with both rational and irrational numbers.| | |

| | | | | |

| |3102.1.2 Write an equation symbolically to |3102.1.15 Apply arithmetic concepts in algebraic contexts. |1-6 Multiplying & Dividing Real Numbers |1-6 Video Tutor |

| |express a contextual problem. |3102.1.20 Estimate solutions to evaluate the reasonableness of results | | |

| | |and to check technological | |1-6 Section Quiz |

| | |Computation. | | |

| |3102.1.3 Apply properties to evaluate |3102.1.9 Identify and use properties of the real numbers (including |1-7 The Distributive Property |1-7Video Tutor |

| |expressions, simplify expressions, and |commutative, associative, distributive, inverse, identity element, | | |

| |justify solutions to problems. |closure, reflexive, symmetric, transitive, operation properties of | |1-7 Section Quiz |

| | |equality). | | |

| |3102.1.3 Apply properties to evaluate |3102.1.9 Identify and use properties of the real numbers (including |1-8 Property of Real Numbers |1-8 Video Tutor |

| |expressions, simplify expressions, and |commutative, associative, distributive, inverse, identity element, | | |

| |justify solutions to problems. |closure, reflexive, symmetric, transitive, operation properties of | |1-8 Section Quiz |

| | |equality). | | |

| | 3102.5.1 Interpret displays of data to |3102.5.1 Identify patterns or trends in data. |1-9 Graphing Data on the Coordinate Plane|1-9 Video Tutor |

| |answer questions about the data set(s) (e.g.,| | | |

| |identify pattern, trends, and/or outliers in | | |1-9 Section Quiz |

| |a data set). | | | |

|Chapter Two |Estimated instructional time to |

|Solving Equations |complete: |

| |11 days |

|Pre-check skills and knowledge: Arithmetic operations, including rational numbers; Use of variables to write expressions that represent real-world situations. |

|Unit Vocabulary: consecutive integers, equivalent equations, identity, inverse operations, literal equation, mean, measure of central tendency, median, outlier, range, solution of an equation, uniform motion. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.5 Write and/or solve linear |3102.1.11 Use manipulatives to model algebraic concepts. |2-1 Solving One-Step Equations |2-1 Section Quiz |

| |equations, inequalities, and compound | | | |

| |inequalities including those containing | | | |

| |absolute value. | | | |

| |3102.3.5 Write and/or solve linear |3102.1.11 Use manipulatives to model algebraic concepts. |2-2 Solving Two-Step Equations |2-2 Video Tutor |

| |equations, inequalities, and compound | | | |

| |inequalities including those containing | | |2-2 Section Quiz |

| |absolute value. | | | |

| |3102.3.5 Write and/or solve linear |3102.1.8 Recognize and perform multiple steps in problem solving |2-3 Solving Multi-Step Equations |2-3 Video Tutor |

| |equations, inequalities, and compound |when necessary. | | |

| |inequalities including those containing |3102.3.11 Solve multi-step linear equations with one variable. | |2-3 Section Quiz |

| |absolute value. | | | |

| |3102.3.5 Write and/or solve linear |3102.1.8 Recognize and perform multiple steps in problem solving |2-4 Equations with Variables on Both Sides |2-4 Video Tutor |

| |equations, inequalities, and compound |when necessary. | | |

| |inequalities including those containing |3102.3.11 Solve multi-step linear equations with one variable. | |2-4 Section Quiz |

| |absolute value. |3102.3.12 Recognize and articulate when an equation has no solution,| | |

| | |a single solution, or all real numbers as a solution. | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.2 Write an equation symbolically to |3102.1.5 Use formulas, equations, and inequalities to solve |2-5 Equations and Problem Solving |2-5 Video Tutor |

| |express a contextual problem. |real-world problems including time/rate/distance, percent | | |

| | |increase/decrease, ratio/proportions, and mixture problems. | |2-5 Section Quiz |

| | |3102.1.6 Use a variety of strategies to estimate and compute | | |

| | |solutions, including real-world problems. | | |

| | |3102.1.7 Identify missing or irrelevant information in problems. | | |

| | |3102.1.8 Recognize and perform multiple steps in problem solving | | |

| | |when necessary. | | |

| | | | | |

| |3102.1.2 Write an equation symbolically to |3102.1.5 Use formulas, equations, and inequalities to solve |2-6 Formulas |2-6 Section Quiz |

| |express a contextual problem. |real-world problems including time/rate/distance, percent | | |

| | |increase/decrease, ratio/proportions, and mixture problems. | | |

| | | | | |

| |Interpret displays of data |3102.5.2 Develop a meaning for and identify outliers in a data set |2-7 Using Measures of Central Tendency |2-7 Video Tutor |

| |to answer questions about the data set(s). |and verify. | | |

| |Identify the effect on |3102.5.3 When a set of data is changed, identify effects on measures| |2-7 Section Quiz |

| |mean, median, mode, and range when values in |of central tendency, range, and inter-quartile range. | | |

| |the data set are changed. |3102.5.4 Explore quartiles, deciles, and percentiles of a | | |

| | |distribution. | | |

| | |3102.5.5 Construct and interpret various forms of data | | |

| | |representations, (including line graphs, bar graphs, circle graphs, | | |

| | |histograms, scatter-plots, box-and-whiskers, stem-and-leaf, and | | |

| | |frequency tables). | | |

| | |3102.5.7 Compare two data sets using graphs and descriptive | | |

| | |statistics. | | |

|Chapter Three |Estimated instructional time to |

|Solving Inequalities |complete: |

| |10 days |

|Pre-check skills and knowledge: operations with decimals and fractions, simplifying fractions, solving simple equations, distributive property. |

|Unit Vocabulary: compound inequalities, equivalent inequalities, solution to an inequality. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.13 Solve multi-step linear inequalities with one variable and |3-1 Inequalities and their graphs. |3-1 Video Tutor |

| |inequalities, and compound inequalities |graph the solution on a number line. | | |

| |including those containing absolute value. | | |3-1 Section Quiz |

| | | | | |

| | | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.13 Solve multi-step linear inequalities with one variable and |3-2 Solving inequalities using addition |3-2 Video Tutor |

| |inequalities, and compound inequalities |graph the solution on a number line. |and subtraction. | |

| |including those containing absolute value | | |3-2 Section Quiz |

| | | | | |

| | | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.13 Solve multi-step linear inequalities with one variable and |3-3 Solving inequalities using |3-3 Video Tutor |

| |inequalities, and compound inequalities |graph the solution on a number line. |multiplication and division. | |

| |including those containing absolute value | | |3-3 Section Quiz |

| | | | | |

| | | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.13 Solve multi-step linear inequalities with one variable and |3-4 Solving multistep inequalities. |3-4 Video Tutor |

| |inequalities, and compound inequalities |graph the solution on a number line. | | |

| |including those containing absolute value | | |3-4 Section Quiz |

| | | | | |

| | | |. | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.14 Solve absolute value equations and inequalities (including |3-5 Compound Inequalities. |3-5 Video Tutor |

| |inequalities, and compound inequalities |compound inequalities) with one variable and graph their solutions on a| | |

| |including those containing absolute value |number line. | |3-5 Section Quiz |

| | | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.14 Solve absolute value equations and inequalities (including |3-6 Absolute value inequalities |3-6 Video Tutor |

| |inequalities, and compound inequalities |compound inequalities) with one variable and graph their solutions on a| | |

| |including those containing absolute value |number line. | |3-6 Section Quiz |

| | | | | |

| | | | | |

|Chapter Four |Estimated instructional time to |

|Solving and Applying Proportions |complete: |

| |13 days |

|Pre-check skills and knowledge: multiplying and dividing fractions; fractions, decimals, and percents; writing expressions; using the distributive property; solving One-step equations. |

|Unit Vocabulary: compliment of an event, cross products, dependent events, event, experimental probability, greatest possible error, independent events, outcome, percent error, percent of change, probability, |

|proportion, rate, ratio, scale, similar figures, theoretical probability, unit analysis, unit rate. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.2 Write an equation symbolically |3102.1.5 Use formulas, equations, and inequalities to solve real-world|4-1 Ratio and Proportion |4-1 Video Tutor |

| |to express a contextual problem. |problems including time/rate/distance, percent increase/decrease, | | |

| |3102.1.3 Apply properties to evaluate |ratio/proportion, and mixture problems. | |4-1 Lesson Quiz |

| |expressions, simplify expressions, and |3102.1.9 Identify and use properties of the real numbers (including | | |

| |justify solutions to problems. |commutative, associative, distributive, inverse, identity element, | | |

| |3102.4.1 Develop and apply strategies to |closure, reflexive, symmetric, transitive, operation properties of | | |

| |estimate the area of any shape on a plane |equality). | | |

| |grid. |3102.1.15 Apply arithmetic concepts in algebraic contexts. | | |

| |3102.4.4 Convert rates and measurements. |3102.4.1 Using algebraic expressions solve for measures in geometric | | |

| | |figures as well as for perimeter, area, and volume. | | |

| | |3102.4.5 Use dimensional analysis to convert rates and measurements | | |

| | |both within a system and between systems and check the appropriateness | | |

| | |of the solution. | | |

| | | | | |

| | | | | |

| |3102.1.2 Write an equation symbolically |3102.1.13 Change from one representation of a relation to another |4-2 Proportions and Similar Figures |4-2 Video Tutor |

| |to express a contextual problem. |representation, for example, change from a verbal description to a | | |

| |3102.4.1 Develop and apply strategies to |graph. | |4-2 Lesson Quiz |

| |estimate the area of any shape on a plane |3102.4.1 Using algebraic expressions solve for measures in geometric | | |

| |grid. |figures as well as for perimeter, area, and volume. | | |

| | |3102.4.5 Use dimensional analysis to convert rates and measurements | | |

| | |both within a system and between systems and check the appropriateness | | |

| | |of the solution. | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.1 Interpret patterns found in |3102.1.5 Use formulas, equations, and inequalities to solve |4-3 Proportions and Percent Equations |4-3 Video Tutor |

| |sequences, tables, and other forms of |real-world problems including time/rate/distance, percent | | |

| |quantitative information using variables or |increase/decrease, ratio/proportion, and mixture problems. | |4-3 Lesson Quiz |

| |function notation. |3102.1.6 Use a variety of strategies to estimate and compute | | |

| |3102.1.2 Write an equation symbolically to |solutions, including real-world problems. | | |

| |express a contextual problem. | | | |

| | | | | |

| |3102.1.1 Interpret patterns found in |3102.1.5 Use formulas, equations, and inequalities to solve |4-4 Percent of Change |4-4 Video Tutor |

| |sequences, tables, and other forms of |real-world problems including time/rate/distance, percent | | |

| |quantitative information using variables or |increase/decrease, ratio/proportion, and mixture problems. | |4-4 Lesson Quiz |

| |function notation. | | | |

| |3102.1.3 Apply properties to evaluate | | | |

| |expressions, simplify expressions, and | | | |

| |justify solutions to problems. | | | |

| | | | | |

| |3102.5.5 Determine theoretical and/or |3102.5.12 Use techniques (Venn Diagrams, tree diagrams, or counting |4-5 Applying Ratios to Probability |4-5 Video Tutor |

| |experimental probability of an event and/or |procedures) to identify the possible outcomes of an experiment or | | |

| |its complement including using relative |sample space and compute the probability of an event. | |4-5 Lesson Quiz |

| |frequency |3102.5.13 Determine the complement of an event and the probability | | |

| | |of that complement. | | |

| | |3102.5.14 Determine if two events are independent or dependent. | | |

| | |3102.5.15 Explore joint and conditional probability |4-6 Probability of Compound Events |4-6 Video Tutor |

| | |3102.5.16 Identify situations for which the Law of Large Numbers | | |

| | |applies. | |4-6 Lesson Quiz |

| | |3102.5.17 Perform simulations to estimate probabilities. | | |

| | |3102.5.18 Make informed decisions about practical situations using | | |

| | |probability concepts. | | |

| | | | | |

| | | | | |

|Chapter Five |Estimated instructional time to |

|Graphs & Functions |complete: |

| |6 days |

|Pre-check skills and knowledge: representing relationships using variables; graphing points on a coordinate plane; solving equations in one variable. |

|Unit Vocabulary: constant of variation, dependent variable, direct variation, domain, function, function notation, function rule, independent variable, range, relation, vertical line test, parabola, absolute value. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.4 Translate between representations |3102.1.12 Create and work flexibly among representations of relations |5-1 Relating Graphs to Events |5-1 Video Tutor |

| |of functions that depict real-world |(including verbal, equations, | | |

| |situations. |tables, mappings, graphs). | |5-1 Section Quiz |

| |3102.3.1 Express a generalization of a |3102.5.6 Draw qualitative graphs of functions and describe a general | | |

| |pattern in various representations including |trend or shape. | | |

| |algebraic and function notation. | | | |

| |3102.3.6 Interpret various relations in | | | |

| |multiple representations. | | | |

| | | | | |

| |3102.3.7 Determine domain and range of a |3102.3.16 Determine if a relation is a function from its graph or from |5-2 Relations & Functions |5-2 Video Tutor |

| |relation, determine whether a relation is a |a set of ordered pairs. | | |

| |function | | |5-2 Section Quiz |

| |and/or evaluate a function at a specified |3102.3.25 Find function values using f(x) notation or graphs. | | |

| |rational value. | | | |

| |3102.3.8 Determine the equation of a line |3102.3.18 Analyze the characteristics of graphs of basic linear |5-3 Function Rules, Tables, & Graphs |5-3 Video Tutor |

| |and/or graph a linear equation. |relations and linear functions including constant function, direct | | |

| | |variation, identity function, vertical lines, absolute value of linear | |5-3 Section Quiz |

| | |functions. Use technology where appropriate. | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.5 Write and/or solve linear equations,|3102.3.17 Recognize “families” of functions. |Families of Graphs |Family of graphs – Absolute Value - Video |

| |inequalities, and compound inequalities |3102.3.18 Analyze the characteristics of graphs of basic linear |(Absolute Value, Vertical lines, |Tutor |

| |including |relations and linear functions including constant function, direct |Horizontal lines, Quadratic, & | |

| |those containing absolute value. 3102.3.10 |variation, identity function, vertical lines, absolute value of linear |Square Root functions.) |Family of graphs – Quadratic – Video Tutor|

| |Find the solution of a quadratic equation |functions. Use technology where | | |

| |and/or zeros of a quadratic function. |appropriate. | | |

| |3102.3.11 Analyze nonlinear graphs including |3102.3.19 Explore the characteristics of graphs of various nonlinear | | |

| |quadratic and exponential functions that |relations and functions including inverse variation, quadratic, and | | |

| |model a |square root function. Use technology where appropriate. | | |

| |contextual situation. | | | |

| |3102.3.1 Express a generalization of a |3102.1.1 Develop meaning for mathematical vocabulary. 3102.3.18 Analyze|5-5 Direction Variation |5-5 Video Tutor |

| |pattern in various representations including |the characteristics of graphs of basic linear relations and linear | | |

| |algebraic and function notation. |functions including constant function, direct variation, identity | |5-5 Section Quiz |

| | |function, vertical lines, absolute value of linear functions. Use | | |

| | |technology where appropriate. | | |

| | | | | |

| | | | | |

|Chapter Six |Estimated instructional time to |

|Linear Equations and Their Graphs |complete: |

| |15 days |

|Pre-check skills and knowledge: integers to graph points in the coordinate plane; solve multi-step problems, including equations, inequalities, and proportions; solve a formula for a given variable; graph functions |

|by making a table of values. |

|Unit Vocabulary: absolute value equation, correlation coefficient, line of best fit, linear equation, negative reciprocal, parallel lines, perpendicular lines, point-slope form, rate of change, slope, |

|slope-intercept form, standard form, translation, x-intercept, y-intercept. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.6 Determine and interpret slope in|3102.3.20 Understand that a linear equation has a constant rate of |6-1 Rate of Change and Slope |6-1 Video Tutor |

| |multiple contexts including rate of change|change called slope and represent slope in various forms. | | |

| |in real-world problems. | | |6-1 Section Quiz |

| | | | | |

| |3102.3.8 Determine the equation of a line|3102.1.16 Understand and express the meaning of the slope and |6-2 Slope-Intercept Form |6-2 Video Tutor |

| |and/or graph a linear equation. |y-intercept of linear functions in real-world contexts. | | |

| | |3102.3.18 Analyze the characteristics of graphs of basic linear | |6-2 Section Quiz |

| | |relations and linear functions including constant function, direct | | |

| | |variation, identity function, vertical lines, absolute value of linear | | |

| | |functions. Use technology where appropriate. | | |

| | |3102.3.21 Determine the equation of a line using given information | | |

| | |including a point and slope, two points, a point and a line parallel or| | |

| | |perpendicular, graph, intercepts. | | |

| | |3102.3.22 Express the equation of a line in standard form, | | |

| | |slope-intercept, and point-slope form. | | |

| | |3102.3.23 Determine the graph of a linear equation including those | | |

| | |that depict contextual situations. | | |

| | |3102.3.24 Interpret the changes in the slope-intercept form and graph | | |

| | |of a linear equation by looking at different parameters, m and b in the| | |

| | |slope-intercept form. | | |

| | | | | |

| | | | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.8 Determine the equation of a line |3102.3.18 Analyze the characteristics of graphs of basic linear |6-3 Standard Form |6-3 Video Tutor |

| |and/or graph a linear equation. |relations and linear functions including constant function, direct | | |

| | |variation, identity function, vertical lines, absolute value of | |6-3 Section Quiz |

| | |linear functions. Use technology where appropriate. | | |

| | |3102.3.21 Determine the equation of a line using given information | | |

| | |including a point and slope, two points, a point and a line parallel | | |

| | |or perpendicular, graph, intercepts. | | |

| | |3102.3.22 Express the equation of a line in standard form, | | |

| | |slope-intercept, and point-slope form. | | |

| | | | | |

| | | | | |

| |3102.3.8 Determine the equation of a line |3102.3.18 Analyze the characteristics of graphs of basic linear |6-4 Point-Slope Form and Writing Linear |6-4 Video Tutor |

| |and/or graph a linear equation. |relations and linear functions including constant function, direct |Equations | |

| | |variation, identity function, vertical lines, absolute value of | |6-4 Section Quiz |

| | |linear functions. Use technology where appropriate. | | |

| | |3102.3.21 Determine the equation of a line using given information | | |

| | |including a point and slope, two points, a point and a line parallel | | |

| | |or perpendicular, graph, intercepts. | | |

| | |3102.3.22 Express the equation of a line in standard form, | | |

| | |slope-intercept, and point-slope form. | | |

| | | | | |

| | | | | |

| |3102.3.8 Determine the equation of a line |3102.3.16 Determine if a relation is a function from its graph or |5-4 Writing a function rule |5-4 Video Tutor |

| |and/or graph a linear equation. |from a set of ordered pairs. | | |

| | |3102.3.18 Analyze the characteristics of graphs of basic linear | |5-4 Section Quiz |

| | |relations and linear functions including constant function, direct | | |

| | |variation, identity function, vertical lines, absolute value of | | |

| | |linear functions. Use technology where appropriate. | | |

| |3102.3.8 Determine the equation of a line |3102.3.21 Determine the equation of a line using given information |6-5 Parallel and Perpendicular Lines |6-5 Video Tutor |

| |and/or graph a linear equation. |including a point and slope, two points, a point and a line parallel | | |

| | |or perpendicular, graph, intercepts. | |6-5 Section Quiz |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.5.3 Using a scatter-plot, determine if |3102.5.1 Identify patterns or trends in data. |6-6 Scatter Plots and Equations of |6-6 Video Tutor |

| |a linear relationship exists and describe the|3102.5.8 Examine real-world graphical relationships (including |Lines | |

| |association between variables. |scatter-plots) to determine type of relationship (linear or | |6-6 Section Quiz |

| |3102.5.4 Generate the equation of a line |nonlinear) and any association (positive, negative or none) between | | |

| |that fits linear data and use it to make a |the variables of the data set. | | |

| |prediction. |3102.5.9 Determine an equation for a line that first real-world | | |

| | |linear data; interpret the meaning of the slope and y-intercept in | | |

| | |context of the data. | | |

| | |3102.5.10 Using technology with a set of contextual linear data to | | |

| | |examine the line of best fit; determine and interpret the correlation| | |

| | |coefficient. | | |

| | |3102.5.11 Use an equation that firs data to make a prediction. | | |

| | | | | |

| | | | | |

| |3102.3.11 Analyze nonlinear graphs including|Recognize “families” of functions. |6-7 Graphing Absolute Value Equations |6-7 Video Tutor |

| |quadratic and exponential functions that |3102.3.19 Explore the characteristics of graphs of various nonlinear| | |

| |model a contextual situation. |relations and functions including inverse variations, quadratic, and | |6-7 Section Quiz |

| | |square root function. Use technology where appropriate. | | |

|Chapter Seven |Estimated instructional time to |

|Systems of Equations and Inequalities |complete: |

| |18 Days |

|Pre-check skills and knowledge: multiplication and division equations; multi-step equations; writing a function rule; writing compound inequalities; graphing integers on a number line; absolute values; graphing linear |

|equations. |

|Unit Vocabulary: elimination method, infinitely many solutions, linear inequality, no solution, solution of a system, solution of a system of linear inequalities, solutions of an inequality, substitution method, |

|systems of linear equations, systems of linear inequalities |

|Date |State |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Performance Indicator (SPI) | | | |

| |3102.3.9 Solve systems of linear |3102.3.28 Solve systems of linear equations graphically, algebraically |7-1 Solving Systems by Graphing |7-1 Video Tutor |

| |equation/inequalities in two variables |and with technology | | |

| | |3102.3.29 Solve contextual problems involving systems of linear | |7-1 Section Quiz |

| | |equations or inequalities and interpret solutions in context | | |

| | |3102.3.27 | | |

| |3102.3.9 Solve systems of linear |3102.3.28 Solve systems of linear equations graphically, algebraically |7-2 Solving Systems using Substitution |7-2 Video Tutor |

| |equation/inequalities in two variables |and with technology | | |

| | |3102.3.27 | |7-2 Section Quiz |

| | | | | |

| | | | | |

| |3102.3.9 Solve systems of linear |3102.3.28 Solve systems of linear equations graphically, algebraically |7-3 Solving Systems using |7-3 Video Tutor |

| |equation/inequalities in two variables |and with technology |Elimination | |

| | |3102.3.27 | |7-3 Section Quiz |

| | | | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.9 Solve systems of linear |3102.3.23 Determine the graph of a linear equation including those that|7-4 Applications of Linear Systems |7-4 Video Tutor |

| |equation/inequalities in two variables |depict contextual situations. | | |

| | |3102.3.29 Solve contextual problems involving systems of linear | |7-4 Section Quiz |

| | |equations or inequalities and interpret solutions in context | | |

| | |3102.3.27 | | |

| |3102.3.9 Solve systems of linear |3102.3.26 Graph linear inequalities on the coordinate plane and |7-5 Linear Inequalities |7-5 Video Tutor |

| |equation/inequalities in two variables |identify regions of the graph containing ordered pairs in the solution.| | |

| | | | |7-5 Section Quiz |

| | |3102.3.29 Solve contextual problems involving systems of linear | | |

| | |equations or inequalities and interpret solutions in context | | |

| | | | | |

| |3102.3.9 Solve systems of linear |3102.3.26 Graph linear inequalities on the coordinate plane and |7-6 Systems of Linear Inequalities |7-6 Video Tutor |

| |equation/inequalities in two variables |identify regions of the graph containing ordered pairs in the solution.| | |

| | | | |7-6 Section Quiz |

| | |3102.3.29 Solve contextual problems involving systems of linear | | |

| | |equations or inequalities and interpret solutions in context | | |

| | | | | |

| | | | | |

|Chapter Eight |Estimated instructional time to |

|Exponents and Exponential Functions |complete: |

| |14 days |

|Pre-check skills and knowledge: converting fractions to decimals; using the order of operations; evaluating expressions; calculating simple interest; understanding domain and range; finding terms of a sequence. |

|Unit Vocabulary: common ratio, compound interest, decay factor, exponential decay, exponential function, exponential growth, geometric sequence, growth factor, interest period, scientific notation. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.3 Apply properties to evaluate |3102.3.4 Simplify expressions using exponent rules including negative |8-1 Zero and Negative Exponents |8-1 Video Tutor |

| |expressions, simplify expressions, and |exponents and zero exponents | | |

| |justify solutions to problems. | | |8-1 Lesson Quiz |

| |3102.3.1 Use algebraic thinking to | | | |

| |analyze and generalize patterns. | | | |

| |3102.3.2 Understand and apply properties | | | |

| |to perform operations with, evaluate, | | | |

| |simplify, and factor expressions and | | | |

| |polynomials. | | | |

| | | | | |

| | | | | |

| |3102.2.2 Multiply, divide, and square |3102.1.6 Use a variety of strategies to estimate and compute |8-2 Scientific Notation |8-2 Video Tutor |

| |numbers expressed in scientific notation. |solutions, including real-world problems. | | |

| | |3102.1.10 Use algebraic properties to develop a valid mathematical | |8-2 Lesson Quiz |

| | |argument. | | |

| | |3102.2.5 Perform operations with numbers in scientific notation | | |

| | |(multiply, divide, powers) | | |

| | |3102.2.6 Use appropriate technologies to apply scientific notation to | | |

| | |real-world problems. | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.3 Apply properties to evaluate |3102.1.10 Use algebraic properties to develop a valid mathematical |8-3 Multiplication Properties of Exponents |8-3 Video Tutor |

| |expressions, simplify expressions, and |argument. | | |

| |justify solutions to problems. |3102.1.15 Apply arithmetic concepts in algebraic contexts. | |8-3 Lesson Quiz |

| |3102.2.1 Operate (add, subtract, | | | |

| |multiply, divide, simplify, powers) with | | | |

| |radicals and involving algebraic | | | |

| |expressions | | | |

| |3102.2.2 Multiply, divide, and square | | | |

| |numbers expressed in scientific notation. | | | |

| |3102.3.1 Use algebraic thinking to | | | |

| |analyze and generalize patterns. | | | |

| |3102.3.2 Understand and apply properties | | | |

| |to perform operations with, evaluate, |3102.2.2 Apply the order of operations to simplify and evaluate |8-4 Multiplication Properties of Exponents | |

| |simplify, and factor expressions and |algebraic expressions. | |8-4 Video Tutor |

| |polynomials. |3102.2.5 Perform operations with numbers in scientific notation | | |

| | |(multiply, divide, powers) | |8-4 Lesson Quiz |

| | |3102.3.4 Simplify expressions using exponent rules including negative | | |

| | |exponents and zero exponents. | | |

| |3102.1.3 Apply properties to evaluate |3102.3.4 Simplify expressions using exponent rules including negative |8-5 Division Properties of Exponents |8-5 Video Tutor |

| |expressions, simplify expressions, and |exponents and zero exponents. | | |

| |justify solutions to problems. |3102.3.6 Find the quotient of a polynomial and a monomial. | |8-5 Lesson Quiz |

| |3102.2.2 Multiply, divide, and square | | | |

| |numbers expressed in scientific notation. | | | |

| | | | | |

| |3102.3.1 Use algebraic thinking to |3102.3.1 Recognize and extend arithmetic and geometric sequences. |5-6 Describing Number Patterns |8-6 Video Tutor |

| |analyze and generalize patterns. |3102.3.4 Simplify expressions using exponent rules including negative | | |

| | |exponents and zero exponents. |8-6 Geometric Sequences |8-6 Lesson Quiz |

| | |3102.3.6 Find the quotient of a polynomial and a monomial. | | |

| | | | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.1 Use algebraic thinking to |3102.3.4 Simplify expressions using exponent rules including negative |8-7 Exponential Functions |8-7 Video Tutor |

| |analyze and generalize patterns. |exponents and zero exponents. | | |

| |3102.3.7 Determine domain and range of a |3102.3.6 Find the quotient of a polynomial and a monomial. | |8-7 Lesson Quiz |

| |relation, determine whether a relation is |3102.3.33 Recognize data that can be modeled by an exponential | | |

| |a function and/or evaluate a function at a|function. | | |

| |specified rational value. |3102.3.34 Graph exponential functions in the form y=a(bx) where b is | | |

| |3102.3.11 Analyze nonlinear graphs |not equal to 0. | | |

| |including quadratic and exponential | | | |

| |functions that model a contextual | | | |

| |situation. | | | |

| | | | | |

| |3102.3.11 Analyze nonlinear graphs |3102.3.4 Simplify expressions using exponent rules including negative |8-8 Exponential Growth and Decay |8-8 Video Tutor |

| |including quadratic and exponential |exponents and zero exponents. | | |

| |functions that model a contextual |3102.3.6 Find the quotient of a polynomial and a monomial. | |8-8 Lesson Quiz |

| |situation. |3102.3.35 Apply growth/decay and simple/compound interest formulas to | | |

| | |solve contextual problems. | | |

|Chapter Nine |Estimated instructional time to |

|Polynomials & Factoring |complete: |

| |15 days |

|Pre-check skills and knowledge: operations with exponents; combining like terms; applying the distributive property. |

|Unit Vocabulary: binomial, degree of a monomial, degree of polynomial, factor by grouping, monomial, perfect-square trinomial, polynomial, standard form of a polynomial, and trinomial. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.2 Operate with polynomials and |3102.3.5 Add, subtract, and multiply polynomials including squaring a |9-1 Adding & Subtracting Polynomials |9-1 Video Tutor |

| |simplify results |binomial | | |

| | | | |9-1 Section Quiz |

| |3102.3.2 Operate with polynomials and |3102.3.5 Add, subtract, and multiply polynomials including squaring a |Multiplying & Factoring |9-2 Video Tutor |

| |simplify results |binomial | | |

| | | | |9-2 Section Quiz |

| |3102.3.3 Factor polynomials |3102.3.8 Find the GCF of the terms in a polynomial | | |

| |3102.3.2 Operate with polynomials and |3102.3.5 Add, subtract, and multiply polynomials including squaring a |9-3 Multiplying Binomials |9-3 Video Tutor |

| |simplify results |binomial | | |

| | | | |9-3 Section Quiz |

| |3102.3.2 Operate with polynomials and |3102.3.5 Add, subtract, and multiply polynomials including squaring a |9-4 Multiplying Special Cases |9-4 Video Tutor |

| |simplify results |binomial | | |

| | | | |9-4 Section Quiz |

| | 3102.3.3 Factor polynomials |3102.3.6 Find the quotient of a polynomial and a monomial |9-5 Factoring Trinomials of the type |9-5 Video Tutor |

| | |3102.3.9 Find two binomial factors of a quadratic expression |[pic] | |

| | | | |9-5 Section Quiz |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |Factor polynomials |3102.3.8 Find the GCF of the terms in a polynomial |Factoring by Grouping |9-8 Video Tutor |

| | |3102.3.9 Find two binomial factors of a quadratic expression | | |

| | | | |9-8 Section Quiz |

| |Factor polynomials |3102.3.9 Find two binomial factors of a quadratic expression |9-6 Factoring Trinomials of the type |9-8 Video Tutor |

| | | |[pic] | |

| | | | |9-6 Section Quiz |

| |3102.3.3 Factor polynomials |3102.3.9 Find two binomial factors of a quadratic expression |9-7 Factoring Special Cases |9-7 Video Tutor |

| | | | | |

| | | | |9-7 Section Quiz |

| |3102.3.2 Operate with polynomials and |Use various models (including area models) to |Use models to multiply & factor |TeacherTube Videos - Multiplying |

| |simplify results |represent products of polynomials |polynomials |Polynomials using Area Model |

| | | | | |

|Chapter Ten |Estimated instructional time to |

|Quadratic Equations and Functions |complete: |

| |16 days |

|Pre-check skills and knowledge: functions and their graphs; non-linear functions such as exponential functions; factoring trinomials. |

|Unit Vocabulary: axis of symmetry, completing the square, discriminant, maximum, minimum, parabola, quadratic equation, quadratic formula, quadratic function, square root, vertex, Zero-Product Property. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.11 Analyze nonlinear graphs including|3102.3.19 Explore the characteristics of graphs of various nonlinear |10-1 Exploring Quadratic Graphs |10-1 Video Tutor |

| |quadratic and exponential functions that |relations and functions including inverse variation, quadratic, and square| | |

| |model a contextual situation. |root function. Use technology where appropriate. | |10-1 Lesson Quiz |

| |3102.3.11 Analyze nonlinear graphs including|3102.3.19 Explore the characteristics of graphs of various nonlinear |10-2 Quadratic Functions |10-2 Video Tutor |

| |quadratic and exponential functions that |relations and functions including inverse variation, quadratic, and square| | |

| |model a contextual situation. |root function. Use technology where appropriate. | |10-2 Lesson Quiz |

| |3102.2.1 Operate (add, subtract, multiply, |3102.2.8 Use multiple strategies to approximate the value of an |10-3 Finding and Estimating Square |10-3 Video Tutor |

| |divide, simplify, powers) with radicals and |irrational number including irrational square roots and including location|Roots | |

| |radical expressions including radicands |on the real number line. | |10-3 Lesson Quiz |

| |involving rational numbers and algebraic | | | |

| |expressions. | | | |

| |3102.3.10 Find the solution of a quadratic |3102.3.30 Solve quadratic equations using multiple methods: factoring, |10-4 Solving Quadratic Equations |10-4 Video Tutor |

| |equation and/or zeros of a quadratic |graphing, quadratic formula, or square root principle. | | |

| |function. |3102.3.31 Determine the number of real solutions for a quadratic equation| |10-4 Lesson Quiz |

| | |including using the discriminant and its graph. | | |

| | |3102.3.32 Recognize the connection among factors, solutions (roots), | | |

| | |zeros of related functions, and x-intercepts in equations that arise from | | |

| | |quadratic functions. | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.10 Find the solution of a quadratic |3102.3.30 Solve quadratic equations using multiple methods: factoring, |10-5 Factoring to Solve Quadratic |10-5 Video Tutor |

| |equation and/or zeros of a quadratic |graphing, quadratic formula, or square root principle. |Equations | |

| |function. |3102.3.32 Recognize the connection among factors, solutions (roots), | |10-5 Lesson Quiz |

| | |zeros of related functions, and x-intercepts in equations that arise from | | |

| | |quadratic functions. | | |

| |3102.3.10 Find the solution of a quadratic |3102.3.30 Solve quadratic equations using multiple methods: factoring, |10-6 Completing the Square |10-6 Video Tutor |

| |equation and/or zeros of a quadratic |graphing, quadratic formula, or square root principle. | | |

| |function. |3102.3.32 Recognize the connection among factors, solutions (roots), | |10-6 Lesson Quiz |

| | |zeros of related functions, and x-intercepts in equations that arise from | | |

| | |quadratic functions. | | |

| |3102.3.10 Find the solution of a quadratic |3102.3.30 Solve quadratic equations using multiple methods: factoring, |10-7 Using the Quadratic Formula |10-7 Video Tutor |

| |equation and/or zeros of a quadratic |graphing, quadratic formula, or square root principle. | | |

| |function. |3102.3.32 Recognize the connection among factors, solutions (roots), | |10-7 Lesson Quiz |

| | |zeros of related functions, and x-intercepts in equations that arise from | | |

| | |quadratic functions. | | |

| |3102.3.10 Find the solution of a quadratic |3102.3.31 Determine the number of real solutions for a quadratic equation|10-8 Using the Discriminant |10-8 Video Tutor |

| |equation and/or zeros of a quadratic |including using the discriminant and its graph. | | |

| |function. | | |10-8 Lesson Quiz |

| |3102.3.11 Analyze nonlinear graphs including|3102.3.19 Explore the characteristics of graphs of various nonlinear |10-9 Choosing a Linear, Quadratic, or |10-9 Video Tutor |

| |quadratic and exponential functions that |relations and functions including inverse variation, quadratic, and square|Exponential Model | |

| |model a contextual situation. |root function. Use technology where appropriate. | |10-9 Lesson Quiz |

| | |3102.3.34 Graph exponential functions in the form y=a(bx) where b does | | |

| | |not equal 0. | | |

|Chapter Eleven |Estimated instructional time to |

|Radical Expressions and Equations |complete: |

| |13 Days |

|Pre-check skills and knowledge: solving proportions, finding square roots, using the discriminant, simplify expressions with exponents. |

|Unit Vocabulary: angle of depression, angle of elevation, conjugates, converse, cosine, distance formula, extraneous solution, hypotenuse, hypothesis, leg, midpoint formula, Pythagorean theorem, radical equation, |

|radical expression, rationalize, sine, square root function, tangent, trigonometric ratios. |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.2.1 Operate ( add, subtract, multiply, |Operate with and simplify radicals (index |11-1 Simplifying Radicals |11-1 Video Tutor |

| |divide, simplify, powers) with radicals and |2,3,n) and radical expressions including rational numbers and variables| | |

| |radical expressions including radicands |in the radicand | |11-1 Section Quiz |

| |involving rational numbers and algebraic | | | |

| |expressions | | | |

| | | | | |

| | | | | |

| |3102.4.2 Solve contextual problems using the |3102.4.2 Use the Pythagorean Theorem to find the missing measure in a |11-2 The Pythagorean Theorem |11-2 Video Tutor |

| |Pythagorean Theorem |right triangle including those from contextual situations. | | |

| | | | |11-2 Section Quiz |

| | | | | |

| | | | | |

| | | | | |

| |3102.4.3 Solve problems involving the |3102.4.4 Develop the midpoint formula for segments on a number line or |11-3 The Distance and Midpoint Formulas |11-3 Video Tutor |

| |distance between points or midpoint of a |in the coordinate plane | | |

| |segment |3102.4.3 Understand horizontal/vertical distance in a coordinate | |11-3Section Quiz |

| | |systems as absolute value of the difference between coordinates; | | |

| | |develop the distance formula for a coordinate plane using the | | |

| | |Pythagorean Theorem | | |

| | | | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.2.1 Operate ( add, subtract, multiply, |3102.2.3 Operate with and simplify radicals (index 2,3,n) and radical |11-4 Operations with Radical Expressions |11-4 Video Tutor |

| |divide, simplify, powers) with radicals and |expressions including rational numbers and variables in the radicand | | |

| |radical expressions including radicands | | |11-4 Section Quiz |

| |involving rational numbers and algebraic | | | |

| |expressions | | | |

| | | | | |

| | | | | |

| | | | | |

| |3102.2.1 Operate ( add, subtract, multiply, |3102.2.3 Operate with and simplify radicals (index 2,3,n) and radical |11-5 Solving Radical Equations |11-5 Video Tutor |

| |divide, simplify, powers) with radicals and |expressions including rational numbers and variables in the radicand | | |

| |radical expressions including radicands | | |11-5 Section Quiz |

| |involving rational numbers and algebraic | | | |

| |expressions | | | |

| | | | | |

| |3102.3.7 Determine domain and range of a |3102.3.19 Explore the characteristics of graphs of various nonlinear |11-6 Graphing Square Root Functions |11-6 Video Tutor |

| |relation, determine whether a relation is a |relations and functions including inverse variation, quadratic, and | | |

| |function and/or evaluate a function at a |square root function. Use technology where appropriate. | |11-6 Section Quiz |

| |specified rational value. | | | |

| | | | | |

|Chapter Twelve |Estimated instructional time to |

|Rational Expressions and Functions |complete: |

| |16 days |

|Pre-check skills and knowledge: adding and subtracting fractions; finding probabilities; simplifying expressions; solving radical equations; finding the domain. |

|Unit Vocabulary: asymptote, combination, constant of variation, inverse variation, multiplication counting principle, permutation, rational equation, rational expression, rational function. |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.2 Write an equation symbolically |3102.1.12 Create and work flexibly among representations of relations |12-1 Inverse Variation |12-1 Video Tutor |

| |to express a contextual problem. |(including verbal, equations, tables, mappings, graphs, etc.) | | |

| |3102.1.4 Translate between |3102.1.13 Change from one representation of a relation to another | |12-1 Lesson Quiz |

| |representations of functions that depict |representation, for example, change from a verbal description to a | | |

| |real-world situations. |graph. | | |

| |3102.1.5 Recognize and express the effect|3102.1.14 Apply arithmetic concepts in algebraic contexts. | | |

| |of changing constants, and/or coefficients|3102.3.16 Determine if a relation is a function from its graph or from| | |

| |in problem solving. |a set of ordered pairs. | | |

| |3102.3.11 Analyze nonlinear graphs |3102.3.18 Analyze the characteristics of graphs of basic linear | | |

| |including quadratic and exponential |relations and linear functions including constant function, direct | | |

| |functions that model a contextual |variation, identity function, vertical lines, absolute value of linear | | |

| |situation. |functions. Use technology where appropriate. | | |

| | |3102.3.19 Explore the characteristics of graphs of various nonlinear | | |

| | |relations and functions including inverse variation, quadratic, and | | |

| | |square root function. Use technology where appropriate. | | |

| | | | | |

| | | | | |

| | | | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.1.1 Interpret patterns found in |3102.1.4 Write a rule with variables that express a pattern. |12-2 Graphing Rational Functions |12-2 Video Tutor |

| |sequences, tables, and other forms of |3102.1.13 Change from one representation of a relation to another | | |

| |quantitative information using variables |representation, for example, change from a verbal description to a | |12-2 Lesson Quiz |

| |or function notation. |graph. | | |

| |3102.1.2 Write an equation symbolically |3102.1.18 Translate syntax of technology to appropriate mathematical | | |

| |to express a contextual problem. |notation. | | |

| |3102.1.4 Translate between |3102.1.19 Recognize and practice appropriate use of technology in | | |

| |representations of functions that depict |representations and in problem solving. | | |

| |real-world situations. |3102.3.15 Determine domain and range of a relation and articulate | | |

| |3102.3.4 Operate with, evaluate, and |restrictions imposed either by the operations or by the real life | | |

| |simplify rational expressions including |situation that the function represents. | | |

| |determining restrictions on the domain of |3102.3.16 Determine if a relation is a function from its graph or from| | |

| |the variables. |a set of ordered pairs. | | |

| |3102.3.6 Interpret various relations in |3102.3.17 Recognize “families” of functions. | | |

| |multiple representations. |3102.3.19 Explore the characteristics of graphs of various nonlinear | | |

| |3102.3.11 Analyze nonlinear graphs |relations and functions including inverse variation, quadratic, and | | |

| |including quadratic and exponential |square root function. Use technology where appropriate. | | |

| |functions that model a contextual |3102.3.25 Find function values using f(x) notation or graphs. | | |

| |situation | | | |

| | | | | |

| | | | | |

| |3102.3.4 Operate with, evaluate, and |3102.3.3 Justify correct results of algebraic procedures using |12-3 Simplifying Rational Expressions |12-3 Video Tutor |

| |simplify rational expressions including |extension of properties of real numbers to algebraic expressions. | | |

| |determining restrictions on the domain of |3102.3.10 Add, subtract, and multiply polynomials including squaring a | |12-3 Lesson Quiz |

| |the variables. |binomial. | | |

| | | | | |

|Date |State Performance |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |Indicator (SPI) | | | |

| |3102.3.4 Operate with, evaluate, and |3102.3.3 Justify correct results of algebraic procedures using |12-4 Multiplying and Dividing Rational |8-4 Video Tutor |

| |simplify rational expressions including |extension of properties of real numbers to algebraic expressions. |Expressions | |

| |determining restrictions on the domain of |3102.3.10 Add, subtract, and multiply polynomials including squaring a | |8-4 Lesson Quiz |

| |the variables. |binomial. | | |

| | | | | |

| | | | | |

| |3102.3.2 Operate with polynomials and |3102.3.6 Find the quotient of a polynomial and a monomial. |12-5 Dividing Polynomials |12-5 Video Tutor |

| |simplify results. | | | |

| | | | |12-5 Lesson Quiz |

| |3102.3.4 Operate with, evaluate, and |3102.3.3 Justify correct results of algebraic procedures using |12-6 Adding and Subtracting Rational |12-6 Video Tutor |

| |simplify rational expressions including |extension of properties of real numbers to algebraic expressions. |Expressions | |

| |determining restrictions on the domain of |3102.3.10 Add, subtract, and multiply polynomials including squaring a | |12-6 Lesson Quiz |

| |the variables. |binomial. | | |

| |3102.3.11 Analyze nonlinear graphs |3102.3.10 Add, subtract, and multiply polynomials including squaring a |12-7 Solving Rational Equations |12-7 Video Tutor |

| |including quadratic and exponential |binomial. | | |

| |functions that model a contextual |3102.3.12 Recognize and articulate when an equation has no solution, a| |12-7 Lesson Quiz |

| |situation. |single solution, or all real numbers as solutions. | | |

| | | | | |

|Algebra 1 |Estimated instructional time to |

|Additional Topics |complete: |

| |6 days |

| |

| |

|Date |Checks for understanding (CFU) |Topics to Be Covered |Supplemental Resources |

| |3102.1.17 Connect the study of algebra to the historical development of|History of Algebra |Algebra Help - History of Algebra |

| |algebra. | | |

| | | |The History of Algebra |

| | | | |

| |Explore patterns including Pascal’s Triangle |Pascal’s triangle and Fibonacci sequence |NUMB3RS Activity - Season 1 - "Sabotage" |

| |and the Fibonacci sequence | | |

| | | |Fibonacci Numbers |

| | | |  |

| | | |Fibonacci Sequence |

| | | | |

| | | |Pascal's Triangle |

| |3102.5.16 Identify situations for which the Law of Large Numbers |Law of large numbers |Law of Large Numbers - Explanation |

| |applies | | |

| | | |Law of Large Numbers - Activity |

| | | | |

| | | |Principles of Probability: Law of Large Numbers |

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