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Algebra I Proficient Skills by Quarter Marking Period 1 Marking Period 2 Marking Period 3 Marking Period 4 Chapter 1: 1.1 – Using Variables Chapter 4: 4.1- Inequalities & Their Graphs Chapter 5: 5.7 (& p. 26)- Describing Number Patterns Chapter 9: 9.1- Add/Sub Polynomials M8.D.2.2.1: Match a written situation to its numeric and/or algebraic expression. M8.D.2.1.2: Use substitution to check the accuracy of a given value for an inequality. M8.D.2.2.1: Match a written situation to its numeric and/or algebraic inequality. M8.D.1.1.1: Continue a numeric or algebraic pattern. M11.D.2.2.1: Add, subtract, and/or multiply polynomial expressions. 1.1 - Exponents & Order of Ops. M8.A.1.1.2: Find the square or cube of a whole number (single digit) and/or the square root of a perfect square and explain the relationship between the two. M8.A.2.1.1: Simplify the numeric expressions involving integers, using the order of operations. M8.D.2.1.3: Determine the value of an algebraic expression by simplifying and/or substituting a number for the variable. P. 24-25- Graphing on the Coord. Plane M8.C.3.1.1: Plot, locate, or identify ordered pairs on a coordinate plane. 1.4- Patterns & Functions ( vertical line test problems from 5.2) M8.D.1.1.3: Determine the rule of a function. 1.5- Scatter Plots M8.E.4.1.1: Fit a line to a scatterplot and/or describe any correlation between the two variables (positive, negative, strong, weak, or none). P. 38-39- Interpreting Graphs M8.E.1.1.2: Analyze data and/or answer questions pertaining to data shown in multiple line graphs, circle graphs, or histograms. 1.6- Mean, Median, Mode, Range 4.2- Solving Inequalities Using Add/Sub. M8.D.2.1.1: Solve one or two step inequalities. 4.3- Solving Inequalities Using Mult/Div M8.D.2.1.1: Solve one or two step inequalities. 4.4- Solving Multi-Step Inequalities M8.D.2.1.1: Solve one or two step inequalities. Chapter 8 8.1- Zero & Negative Exponents M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms 8.2- Scientific Notation M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms. 8.3- Multiplication Properties of Exponents M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms. 8.4- More Multiplication Properties of Exponents M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms. 8.5- Division Properties of Exponents M8.E.1.1.3: Interpret data shown in stem-and-leaf or box-and-whisker. M8.A.1.1.1: Represent numbers using scientific notation and/or exponential forms. Chapter 2: 2.1- Adding Rational Numbers 8.7- Exponential Functions M8.A.2.1.1: Simplify the numeric expressions involving integers, using the order of operations. Graphing Anchors (M.8.D.4.1) (5.3) Chapter 8: 8.6- Geometric Sequences M8.D.1.1.2: Find missing elements in numeric or geometric patterns and/or functions. Skills Handbook: P. 773- Using Estimation M8.A.3.1.2: Identify, apply and/or explain when an exact answer is needed or when estimation is appropriate. P. 776- Add/Sub. Fractions P. 777- Mult/Div Fractions P. 787- Histograms M8.E.1.1.2: Analyze data and/or answer questions pertaining to data shown in multiple line graphs, circle graphs, or histograms. P. 788- Line Graphs M8.E.1.1.2: Analyze data and/or answer questions pertaining to data shown in multiple line graphs, circle graphs, or histograms P. 789- Circle Graphs M8.E.1.1.2: Analyze data and/or answer questions pertaining to data shown in multiple line graphs, circle graphs, or histograms. P. 790 (& p 52/53)- Box & Whisker Plots M8.E.1.1.3: Interpret data shown in stem-and-leaf or box-and-whisker. P. 791- Choosing an Appropriate Graph Graph a linear function based on an x/y table. M8.E.1.1.1: Choose and/or explain the correct representation (graph) for a set of data. 2.2- Subtracting Rational Numbers M8.A.2.1.1: Simplify the numeric expressions involving integers, using the order of operations. 2.3- Mult/Div Rational Numbers M8.A.2.1.1: Simplify the numeric expressions involving integers, using the order of operations Net Activity M8.C.1.1.1: Match the three-dimensional figure with its net. 2.4- The Distributive Property Chapter 6: 6.1- Rate of Change & Slope M8.A.2.1.1: Simplify the numeric expressions involving integers, using the order of operations. M11.D.3.2.1: Apply the formula for the slope of a line to solve problems. P. 92- Understanding Probability 2.7- Prob. of Compound Events 6.2- Slope-Intercept Form M8.E.3.1.1: Find the probability for a mutually exclusive or an independent event. 06/12/08 Red = grade 8 anchors; Blue = grade 11 anchors M11.D.3.2.2: Given the graph of the line, 2 points on the line, or the slope and a point on the line, write or identify the linear equation in point-slope , standard 9.2- Multiplying & Factoring M11.D.2.2.1: Add, subtract, and/or multiply polynomial expressions. M11.D.2.2.2: Factor algebraic expressions including difference of squares and trinomials. 9.3- Multiplying Binomials M11.D.2.2.1: Add, subtract, and/or multiply polynomial expressions. 9.4- Multiplying Special Cases M11.D.2.2.1: Add, subtract, and/or multiply polynomial expressions. 9.5- Factoring Trinomials x 2 bx c M11.D.2.2.2: Factor algebraic expressions including difference of squares and trinomials. M11.D.2.1.5: Solve quadratic equations using factoring. 9.6- Factoring Trinomials 2 ax bx c M11.D.2.2.2: Factor algebraic expressions including difference of squares and trinomials. 9.7- Factoring Special Cases M11.D.2.2.2: Factor algebraic expressions including difference of squares and trinomials. 9.8- Factoring By Grouping Chapter 10: 10.1- Exploring Quadratic Graphs 10.2- Quadratic Functions 10.3- Solving Quadratic Equations 10.4- Factoring to Solve Quadratic Equations M11.D.2.1.5: Solve quadratic equations using factoring. 10.6- Using the Quadratic Formula 10.7- Using the Discriminant Algebra I Proficient Skills by Quarter Chapter 12 12.7- Counting Methods/Permutations M8.E.3.2.1: Determine/show the number of permutations and/or combinations for an event using up to four choices. 12.8- Combinations M8.E.3.2.1: Determine/show the number of permutations and/or combinations for an event using up to four choices. Chapter 3: 3.1- Solving 2-Step Equations M8.D.2.1.1: Solve one or two step equations. M8.D.2.1.2: Use substitution to check the accuracy of a given value for an equation. 3.2- Solving Multi-Step Equations 3.3- Equations w/ Variables on Both Sides P. 140-141- Transforming Formulas M8.B.1.1.4: Convert from Fahrenheit to Celsius or Celsius to Fahrenheit. 3.4- (Ex. 1 & 2 only) Ratio & Proportion M8.A.2.2.2: Represent or solve rate problems (eg. Unit rates, simple interest, distance, etc); solve for any term. 3.6- Equations & Problem Solving M8.D.2.2.1: Match a written situation to its numeric and/or algebraic equation. M8.D.2.2.2: Write and/or solve an equation for a given problem situation. P. 166-167- Proportions & Percents M8.A.2.2.1: Solve Problems involving percents. 3.8- Finding/Estimating Square Roots M8.A.1.1.2: Find the square or cube of a whole number (single digit) and/or the square root of a perfect square and explain the relationship between the two. 3.9- Pythagorean Theorem M8.C.1.2.1: Use the Pythagorean Theorem to find the measure of a missing side of a right triangle. 06/12/08 Red = grade 8 anchors; Blue = grade 11 anchors and/or slope-intercept form 6.3- Applying Linear Functions 6.4- Standard Form M11.D.3.2.2: Given the graph of the line, 2 points on the line, or the slope and a point on the line, write or identify the linear equation in point-slope , standard and/or slope-intercept form. 6.5- Point-Slope Form & Writing Linear Equations M11.D.3.2.2: Given the graph of the line, 2 points on the line, or the slope and a point on the line, write or identify the linear equation in point-slope , standard and/or slope-intercept form. 6.6- Parallel & Perpendicular Lines M11.C.3.1.2: Relate slope to perpendicularity and/or parallelism.