Course Readiness and Skills Review Handbook (83 topics) Course Readiness (21 topics) Course Name: Algebra Course Code: UY6JA-RATXM

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1 Course Name: Algebra Course Code: UY6JA-RATXM ALEKS Course: Algebra 1A Instructor: Ms. Dalton Course Dates: Begin: 11/18/2014 End: 06/18/2015 Course Content: 335 Topics (334 goal + 1 prerequisite) Textbook: Larson Algebra 1 (Holt McDougal, 2012) Objectives Covered Mastery Level Prerequisite Topics (1 topic) 1. Course Readiness and Skills Review Handbook (83 topics) 80% 2. Chapter 1 (47 topics) 80% 3. Chapter 2 (62 topics) 80% 4. Chapter 3 (28 topics) 80% 5. Chapter 4 and Additional Lessons (34 topics) 80% 6. Chapter 5 (39 topics) 80% 7. Chapter 6 (15 topics) 80% 8. Chapter 7 (22 topics) 80% 9. Chapter 10 (16 topics) 80% A student must meet the Mastery Level percent for each Objective in order to move on to the next Objective. For example, if a Mastery Level is set at 90% for the first Objective, students must score 90% or higher in order to move on to the second Objective. The final day that Objectives can be completed is 06/18/15. Prerequisite Topics (1 topic) Graphing a linear equation of the form y = mx Course Readiness and Skills Review Handbook (83 topics) Course Readiness (21 topics) Rounding to tens or hundreds Rounding to hundreds or thousands Introduction to exponents Writing expressions using exponents Factors The reciprocal of a number Decimal place value: Tenths and hundredths Rounding decimals Ordering fractions and decimals Addition of aligned decimals Subtraction of aligned decimals Multiplication of a decimal by a whole number Multiplication of a decimal by a power of ten Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 1/9

2 Division of a decimal by a whole number Division of a decimal by a power of ten Word problem with one decimal operation: Problem type 1 Word problem with one decimal operation: Problem type 2 Word problem with multiple decimal operations: Problem type 1 Finding a percentage of a whole number without a calculator: Basic Constructing a line plot Plotting integers on a number line Skills Review Handbook (62 topics) Prime numbers Prime factorization Greatest common factor of 2 numbers Least common multiple of 2 numbers Equivalent fractions Simplifying a fraction Addition or subtraction of fractions with the same denominator Finding the LCD of two fractions Introduction to addition or subtraction of fractions with different denominators Addition or subtraction of fractions with different denominators Product of a unit fraction and a whole number Product of a fraction and a whole number: Problem type 1 Introduction to fraction multiplication Fraction multiplication Division involving a whole number and a fraction Fraction division Writing an improper fraction as a mixed number Writing a mixed number as an improper fraction Addition of mixed numbers with the same denominator and carry Subtraction of mixed numbers with the same denominator and borrowing Addition or subtraction of mixed numbers with different denominators Mixed number multiplication: Problem type 1 Mixed number division Introduction to ordering decimals Ordering decimals Converting a fraction to a terminating decimal Converting a fraction to a repeating decimal Converting a decimal to a proper fraction in simplest form: Advanced Perimeter of a polygon Perimeter of a square or a rectangle Area of a square or a rectangle Area of a triangle Area of a parallelogram Area of a trapezoid Circumference of a circle Circumference and area of a circle Surface area of a cube or a rectangular prism Surface area of a cylinder: Exact answers in terms of pi Surface area of a sphere Volume of a rectangular prism Volume of a pyramid Volume of a cylinder Volume of a cone: Exact answers in terms of pi Volume of a sphere Converting between percentages and decimals Converting a percentage to a fraction in simplest form Converting a fraction to a percentage: Denominator of 20, 25, or 50 U.S. Customary unit conversion with whole number values Metric distance conversion with whole number values Converting between metric and U.S. Customary unit systems Reading a point in the coordinate plane Plotting a point in the coordinate plane Interpreting a bar graph Interpreting a line graph Interpreting a circle graph or pie chart Mode of a data set Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 2/9

3 Mean of a data set Mean and median of a data set Interpreting a Venn diagram of 2 sets Interpreting a tree diagram Introduction to the counting principle Counting principle Chapter 1 (47 topics) Readiness for Chapter 1 (19 topics) Plotting integers on a number line Ordering integers Integer addition: Problem type 1 Integer addition: Problem type 2 Integer subtraction: Problem type 1 Integer subtraction: Problem type 2 Integer subtraction: Problem type 3 Signed fraction addition or subtraction: Basic Signed fraction addition or subtraction: Advanced Signed decimal addition and subtraction Signed decimal addition and subtraction with 3 numbers Integer multiplication and division Multiplication of 3 or 4 integers Signed fraction multiplication: Basic Signed fraction multiplication: Advanced Exponents and integers: Problem type 1 Evaluating a linear expression: Integer multiplication with addition or subtraction Evaluating a quadratic expression: Integers Absolute value of a number Lesson 1.1 (3 topics) Introduction to exponents Evaluating an algebraic expression: Whole numbers with two operations Power of 10: Positive exponent Lesson 1.2 (5 topics) Order of operations with whole numbers Order of operations with whole numbers and grouping symbols Order of operations with whole numbers and exponents: Basic Order of operations with whole numbers and exponents: Advanced Evaluating an algebraic expression: Whole number operations and exponents Lesson 1.3 (6 topics) Translating a phrase into a one-step expression Writing a one-step expression for a real-world situation Translating a phrase into a two-step expression Word problem on unit rates associated with ratios of whole numbers: Decimal answers Converting between compound units: Basic Converting between compound units: Advanced Lesson 1.4 (5 topics) Additive property of equality with whole numbers Multiplicative property of equality with whole numbers Translating a sentence into a one-step equation Translating a sentence into a multi-step equation Translating a sentence by using an inequality symbol Lesson 1.5 (2 topics) Finding simple interest without a calculator Converting between temperatures in Fahrenheit and Celsius Lesson 1.7 (5 topics) Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 3/9

4 Domain and range from ordered pairs Identifying functions from relations Writing a function rule given a table of ordered pairs: One-step rules Writing and evaluating a function that models a real-world situation: Advanced Identifying independent and dependent variables from equations or real-world situations Lesson 1.8 (1 topic) Table for a linear equation Extension for Lesson 1.8 (1 topic) Vertical line test Chapter 2 (62 topics) Readiness for Chapter 2 (7 topics) Understanding the distributive property Distributive property: Whole number coefficients Distributive property: Integer coefficients Combining like terms: Whole number coefficients Combining like terms: Integer coefficients Combining like terms: Advanced Combining like terms in a quadratic expression Lesson 2.1 (7 topics) Square root of a perfect square Estimating a square root Identifying numbers as integers or non-integers Identifying numbers as rational or irrational Ordering real numbers Properties of addition Properties of real numbers Extension for Lesson 2.1 (1 topic) Classifying sums and products as rational or irrational Lesson 2.2 (14 topics) Additive property of equality with whole numbers Additive property of equality with fractions and mixed numbers Additive property of equality with decimals Additive property of equality with integers Additive property of equality with a negative coefficient Additive property of equality with signed fractions Multiplicative property of equality with whole numbers Multiplicative property of equality with fractions Multiplicative property of equality with decimals Multiplicative property of equality with integers Multiplicative property of equality with signed fractions Solving a fraction word problem using a linear equation of the form Ax = B Solving a one-step word problem using the formula d = rt Finding the side length of a rectangle given its perimeter or area Lesson 2.3 (8 topics) Identifying solutions to a linear equation in one variable: Two-step equations Using two steps to solve an equation with whole numbers Solving a two-step equation with integers Solving a two-step equation with signed fractions Solving a two-step equation with signed decimals Introduction to solving an equation with variables on the same side Solving a word problem with two unknowns using a linear equation Solving a decimal word problem using a linear equation of the form Ax + B = C Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 4/9

5 Lesson 2.4 (7 topics) Introduction to solving an equation with parentheses Solving a linear equation with several occurrences of the variable: Variables on the same side Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution Solving a word problem involving consecutive integers Solving a value mixture problem using a linear equation Finding a side length given the perimeter and side lengths with variables Finding the perimeter or area of a rectangle given one of these values Lesson 2.5 (7 topics) Solving a linear equation with several occurrences of the variable: Variables on both sides Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients Solving equations with zero, one, or infinitely many solutions Solving a decimal word problem using a linear equation with the variable on both sides Solving a distance, rate, time problem using a linear equation Extension for Lesson 2.5 (1 topic) Identifying properties used to solve a linear equation Lesson 2.6 (1 topic) Writing ratios for real-world situations Lesson 2.7 (6 topics) Solving a proportion of the form x/a = b/c Solving a proportion of the form (x+a)/b = c/d Solving a proportion of the form a/(x+b) = c/x Solving a word problem on proportions using a unit rate Word problem on proportions: Problem type 1 Word problem on proportions: Problem type 2 Lesson 2.8 (3 topics) Introduction to algebraic symbol manipulation Algebraic symbol manipulation: Problem type 1 Algebraic symbol manipulation: Problem type 2 Chapter 3 (28 topics) Lesson 3.1 (4 topics) Graphing an integer function and finding its range for a given domain Reading a point in the coordinate plane Plotting a point in the coordinate plane Table for a linear equation Lesson 3.2 (5 topics) Identifying solutions to a linear equation in two variables Finding a solution to a linear equation in two variables Graphing a line given its equation in standard form Graphing a vertical or horizontal line Domain and range of a linear function that models a real-world situation Lesson 3.3 (5 topics) Graphing a line given its x- and y-intercepts Graphing a line by first finding its x- and y-intercepts Finding x- and y-intercepts given the graph of a line on a grid Finding x- and y-intercepts of a line given the equation: Basic Finding x- and y-intercepts of a line given the equation: Advanced Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 5/9

6 Lesson 3.4 (6 topics) Classifying slopes given graphs of lines Finding slope given the graph of a line on a grid Finding slope given two points on the line Finding the slope of horizontal and vertical lines Finding the coordinate that yields a given slope Choosing a graph to fit a narrative : Advanced Lesson 3.5 (6 topics) Graphing a line given its equation in slope-intercept form: Integer slope Graphing a line given its equation in slope-intercept form: Fractional slope Graphing a line through a given point with a given slope Graphing a line by first finding its slope and y-intercept Finding the slope and y-intercept of a line given its equation in the form y = mx + b Finding the slope and y-intercept of a line given its equation in the form Ax + By = C Extension for Lesson 3.5 (1 topic) Solving a linear equation by graphing Lesson 3.7 (1 topic) Table for a linear function Chapter 4 and Additional Lessons (34 topics) Lesson 4.1 (5 topics) Writing an equation and graphing a line given its slope and y-intercept Writing an equation of a line given the y-intercept and another point Writing the equation of the line through two given points Writing and evaluating a function that models a real-world situation: Advanced Writing an equation and drawing its graph to model a real-world situation: Advanced Lesson 4.2 (5 topics*) Writing a function rule given a table of ordered pairs: Two-step rules Writing an equation in slope-intercept form given the slope and a point Writing the equation of the line through two given points Application problem with a linear function: Finding a coordinate given the slope and a point Application problem with a linear function: Finding a coordinate given two points Lesson 4.3 (3 topics) Graphing a line given its equation in point-slope form Identifying linear functions given ordered pairs Writing an equation in point-slope form given the slope and a point Extension for Lesson 4.3 (5 topics) Finding the next terms of an arithmetic sequence with whole numbers Finding the next terms of an arithmetic sequence with integers Identifying arithmetic sequences and finding the common difference Finding a specified term of an arithmetic sequence given the first terms Writing an explicit rule for an arithmetic sequence Lesson 4.4 (2 topics) Rewriting a linear equation in the form Ax + By = C Writing the equations of vertical and horizontal lines through a given point Lesson 4.5 (3 topics) Identifying parallel and perpendicular lines from equations Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C Writing equations of lines parallel and perpendicular to a given line through a point Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 6/9

7 Lesson 4.6 (1 topic) Sketching the line of best fit Graphing Calculator Activity - Perform Linear Regression (1 topic) Linear relationship and the correlation coefficient Extension for Lesson 4.6 (1 topic) Identifying correlation and causation Lesson 4.7 (3 topics) Scatter plots and correlation Predictions from the line of best fit Approximating the equation of a line of best fit and making predictions Extension for Lesson 4.7 (2 topics) Computing residuals Interpreting residual plots Additional Lesson - Interpreting Linear Models (1 topic) Interpreting the parameters of a linear function that models a real-world situation Additional Lesson - Modeling with Combined Functions (1 topic) Combining functions to write a new function that models a real-world situation Additional Lesson - Use Inverse Functions (2 topics) Introduction to the composition of two functions Inverse functions: Problem type 1 (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Chapter 5 (39 topics) Lesson 5.1 (9 topics) Translating a sentence by using an inequality symbol Translating a sentence into a one-step inequality Writing an inequality for a real-world situation Graphing a linear inequality on the number line Writing an inequality given a graph on the number line Additive property of inequality with whole numbers Additive property of inequality with integers Additive property of inequality with signed fractions Additive property of inequality with signed decimals Lesson 5.2 (3 topics*) Translating a sentence into a one-step inequality Multiplicative property of inequality with integers Multiplicative property of inequality with signed fractions Lesson 5.3 (11 topics) Finding the value for a new score that will yield a given mean Translating a sentence into a multi-step inequality Identifying solutions to a two-step linear inequality in one variable Solving a two-step linear inequality: Problem type 1 Solving a two-step linear inequality: Problem type 2 Solving a two-step linear inequality with a fractional coefficient Solving a linear inequality with multiple occurrences of the variable: Problem type 1 Solving a linear inequality with multiple occurrences of the variable: Problem type 2 Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 7/9

8 Solving a linear inequality with multiple occurrences of the variable: Problem type 3 Solving inequalities with no solution or all real numbers as solutions Solving a decimal word problem using a two-step linear inequality Lesson 5.4 (4 topics) Translating a sentence into a compound inequality Graphing a compound inequality on the number line Solving a compound linear inequality: Problem type 1 Solving a compound linear inequality: Graph solution, advanced Lesson 5.5 (5 topics) Finding the absolute error and percent error of a measurement Solving an absolute value equation: Problem type 1 Solving an absolute value equation: Problem type 2 Solving an absolute value equation: Problem type 3 Solving an absolute value equation: Problem type 4 Extension for Lesson 5.5 (3 topics) Translating the graph of an absolute value function: One step Graphing an absolute value equation of the form y = A x How the leading coefficient affects the graph of an absolute value function Lesson 5.6 (5 topics) Solving an absolute value inequality: Problem type 1 Solving an absolute value inequality: Problem type 2 Solving an absolute value inequality: Problem type 3 Solving an absolute value inequality: Problem type 4 Solving an absolute value inequality: Problem type 5 (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Chapter 6 (15 topics) Lesson 6.1 (3 topics) Identifying solutions to a system of linear equations Graphically solving a system of linear equations Interpreting the graphs of two functions Lesson 6.2 (5 topics) Solving a system of linear equations using substitution Solving a word problem involving a sum and another basic relationship using a system of linear equations Solving a word problem using a system of linear equations of the form y = mx + b Solving a value mixture problem using a system of linear equations Solving a percent mixture problem using a system of linear equations Lesson 6.3 (2 topics) Solving a system of linear equations using elimination with addition Solving a distance, rate, time problem using a system of linear equations Lesson 6.4 (5 topics) Solving a system of linear equations using elimination with multiplication and addition Solving a system of linear equations with fractional coefficients Solving a system of linear equations with decimal coefficients Solving a word problem using a system of linear equations of the form Ax + By = C Solving a tax rate or interest rate problem using a system of linear equations Chapter 7 (22 topics) Investigating Algebra Activity for Lesson 7.1 (2 topics) Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 8/9

9 Understanding the product rule of exponents Understanding the power rules of exponents Lesson 7.1 (4 topics) Introduction to the product rule of exponents Product rule with positive exponents: Multivariate Introduction to the power rules of exponents Power and product rules with positive exponents Lesson 7.2 (4 topics) Introduction to the quotient rule of exponents Quotient of expressions involving exponents Power rules with positive exponents Power and quotient rules with positive exponents Lesson 7.3 (12 topics) Power of 10: Negative exponent Evaluating expressions with exponents of zero Evaluating an expression with a negative exponent: Positive fraction base Evaluating an expression with a negative exponent: Negative integer base Rewriting an algebraic expression without a negative exponent Introduction to the product rule with negative exponents Quotient rule with negative exponents: Problem type 1 Quotient rule with negative exponents: Problem type 2 Power of a power rule with negative exponents Power rules with negative exponents Power and quotient rules with negative exponents: Problem type 1 Power and quotient rules with negative exponents: Problem type 2 Chapter 10 (16 topics) Lesson 10.2 (7 topics) Mode of a data set Finding the mode and range of a data set Mean of a data set Mean and median of a data set Weighted mean How changing a value affects the mean and median Choosing the best measure to describe data Extension for Lesson 10.2 (1 topic) Population standard deviation Lesson 10.3 (2 topics) Computing a percentage from a table of values Calculating relative frequencies in a contingency table Lesson 10.4 (3 topics) Constructing a histogram for numerical data Interpreting a stem-and-leaf plot Using back-to-back stem-and-leaf plots to compare data sets Lesson 10.5 (3 topics) Constructing a box-and-whisker plot Using box-and-whisker plots to compare data sets Five-number summary and interquartile range Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 9/9

Pre Algebra and Introductory Algebra

Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to