# Florida Math Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies - Lower and Upper

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2 Quotient and remainder: Problem type 1 Word problem on quotient and remainder Quotient and remainder: Problem type 2 Quotient and remainder: Problem type 3 Division involving quotients with intermediate zeros Word problem with division of whole numbers and rounding Perimeter of a polygon Perimeter of a square or a rectangle Sides of polygons having the same perimeter Finding the missing length in a figure Perimeter of a piecewise rectangular figure Area of a square or a rectangle Perimeter and area on a grid Distinguishing between area and perimeter Finding the side length of a rectangle given its perimeter or area Area of a piecewise rectangular figure Area of a parallelogram MDECL2: Perform order of operations including absolute values Introduction to parentheses Introduction to order of operations 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 MDECL3: Evaluate exponents with whole numbers Writing expressions using exponents Introduction to exponents Power of 10: Positive exponent MDECL12: Identify and apply the properties of real numbers Introduction to properties of addition Introduction to properties of multiplication Understanding the distributive property MDECL13: Identify place value and round whole numbers Whole number place value: Problem type 1 Whole number place value: Problem type 2 Rounding to tens or hundreds Rounding to hundreds or thousands Rounding to thousands, ten thousands, or hundred thousands MDECL14: Write the prime factorization of a number Prime factorization (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 2/18

3 Integers MDECL4: Perform operations with integers (with applications) 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 Addition and subtraction with 3 integers Addition and subtraction with 4 or 5 integers Word problem with addition or subtraction of integers Integer multiplication and division Multiplication of 3 or 4 integers Order of operations with integers MDECL15: Evaluate exponents with integers Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Order of operations with integers and exponents MDECL16: Evaluate absolute value expressions Absolute value of a number Operations with absolute value Fractions MDECL5: Perform operations with fractions (with applications) 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 Product of a fraction and a whole number: Problem type 2 Multiplication of 3 fractions Word problem involving fractions and multiplication Multi-step word problem involving fractions and multiplication Division involving a whole number and a fraction Fraction division Word problem involving fractions and division Addition or subtraction of fractions with the same denominator (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 3/18

6 Converting a decimal to a proper fraction in simplest form: Advanced Converting a decimal to a mixed number and an improper fraction without simplifying Converting a decimal to a mixed number and an improper fraction in simplest form: Basic Converting a decimal to a mixed number and an improper fraction in simplest form: Advanced Converting a fraction with a denominator of 10 or 100 to a decimal Converting a fraction with a denominator of 100 or 1000 to a decimal Converting a fraction to a terminating decimal: Basic Converting a fraction to a terminating decimal: Advanced Converting a fraction to a repeating decimal: Basic Converting a fraction to a repeating decimal: Advanced Using a calculator to convert a fraction to a rounded decimal Converting a mixed number to a terminating decimal: Basic Converting a mixed number to a terminating decimal: Advanced Converting a fraction or mixed number to a rounded decimal Converting a fraction with a denominator of 100 to a percentage Converting a percentage to a fraction with a denominator of 100 Introduction to converting a percentage to a decimal Introduction to converting a decimal to a percentage Converting between percentages and decimals Converting between percentages and decimals in a real-world situation Converting a percentage to a fraction in simplest form Converting a fraction to a percentage: Denominator of 4, 5, or 10 Converting a fraction to a percentage: Denominator of 20, 25, or 50 Using a calculator to convert a fraction to a rounded percentage Converting a fraction to a percentage in a real-world situation MDECL17: Identify place value and round decimals Decimal place value: Tenths and hundredths Decimal place value: Hundreds to ten thousandths Rounding decimals MDECL18: Solve percent equations with applications Finding a percentage of a whole number Finding a percentage of a whole number without a calculator: Basic Finding a percentage of a whole number without a calculator: Advanced Applying the percent equation: Problem type 1 Applying the percent equation: Problem type 2 Finding a percentage of a total amount: Real-world situations Finding a percentage of a total amount without a calculator: Sales tax, commission, discount Writing a ratio as a percentage without a calculator Computing a percentage from a table of values Finding the rate of a tax or commission Finding the total amount given the percentage of a partial amount Finding the multiplier to give a final amount after a percentage increase or decrease Finding the final amount given the original amount and a percentage increase or decrease Finding the sale price given the original price and percent discount (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 6/18

7 Finding the sale price without a calculator given the original price and percent discount Finding the total cost including tax or markup Finding the original amount given the result of a percentage increase or decrease Finding the original price given the sale price and percent discount Finding the percentage increase or decrease: Basic Finding simple interest without a calculator Finding a percentage of a total amount in a circle graph Computations from a circle graph Geometry MDECL9: Solve application problems involving geometry (circumference of circle, perimeter of polygons, area of triangle, parallelograms, circle) Perimeter of a polygon Perimeter of a square or a rectangle Perimeter of a polygon involving mixed numbers and fractions Sides of polygons having the same perimeter Finding the missing length in a figure Perimeter of a piecewise rectangular figure Area of a square or a rectangle Perimeter and area on a grid Area of a rectangle involving fractions Area of a rectangle involving mixed numbers and fractions Distinguishing between area and perimeter Finding the side length of a rectangle given its perimeter or area Area of a piecewise rectangular figure Area of a triangle Area of a parallelogram Circumference of a circle Circumference and area of a circle Finding the radius or the diameter of a circle given its circumference Circumference ratios MDECL19: Convert units of measurement within same measurement system U.S. Customary unit conversion with whole number values Conversions involving measurements in feet and inches U.S. Customary unit conversion with whole number values: Two-step conversion U.S. Customary unit conversion with mixed number values: One-step conversion U.S. Customary unit conversion with mixed number values: Two-step conversion U.S. Customary area unit conversion with whole number values Metric distance conversion with whole number values Metric mass or capacity conversion with whole number values (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 7/18

8 Metric distance conversion with decimal values Metric conversion with decimal values: Two-step problem Metric area unit conversion with decimal values Time unit conversion with whole number values Pre-Algebra MDECL10: Compare magnitude of real numbers Introduction to inequalities Ordering large numbers Ordering fractions with the same denominator Ordering fractions with the same numerator Using a common denominator to order fractions Introduction to ordering decimals Ordering decimals Ordering fractions and decimals Ordering integers Ordering real numbers MDECL11: Classify sets of numbers Even and odd numbers Prime numbers Identifying numbers as integers or non-integers Identifying numbers as rational or irrational MDECL20: Set up and solve ratios and proportions with simple algebraic expressions Writing ratios using different notations Writing ratios for real-world situations Simplifying a ratio of whole numbers: Problem type 1 Simplifying a ratio of decimals Finding a unit price Computing unit prices to find the better buy Solving a word problem on proportions using a unit rate Finding unit rates Solving a proportion of the form x/a = b/c Word problem on proportions: Problem type 1 Similar polygons Indirect measurement MDECL21: Solve linear equations involving the addition and multiplication property of equalities (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 8/18

9 Additive property of equality with whole numbers Multiplicative property of equality with whole numbers Using two steps to solve an equation 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 signed fractions 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 Additive property of equality with a negative coefficient Solving a two-step equation with integers Introduction to solving an equation with parentheses Introduction to solving a linear equation with several occurrences of the variable 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 both sides Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution MDECL22: Define variables and write an expression to represent a quantity in a problem Introduction to writing a one-step variable expression for a real-world situation Translating a phrase into a one-step expression Translating a phrase into a two-step expression Translating a sentence into a one-step equation Translating a sentence into a multi-step equation Writing and evaluating a function that models a real-world situation MDECL23: Simplify algebraic expressions involving one variable (2x + 5x) Combining like terms: Whole number coefficients Combining like terms: Integer coefficients Multiplying a constant and a linear monomial Distributive property: Whole number coefficients Distributive property: Integer coefficients Using distribution and combining like terms to simplify: Univariate Using distribution with double negation and combining like terms to simplify: Multivariate MDECL24: Evaluate algebraic expressions (e.g., find value of 3x when x=2) Evaluating an algebraic expression: Whole number addition or subtraction Evaluating an algebraic expression: Whole number multiplication or division Evaluating an algebraic expression: Whole numbers with two operations Evaluating an algebraic expression: Whole number operations and exponents Evaluating a linear expression: Integer multiplication with addition or subtraction (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 9/18

11 Understanding the product rule of exponents Introduction to the product rule of exponents Product rule with positive exponents: Univariate Product rule with positive exponents: Multivariate Understanding the power rules of exponents Introduction to the power of a power rule of exponents Introduction to the power of a product rule of exponents Power rules with positive exponents: Multivariate products Power rules with positive exponents: Multivariate quotients Power and product rules with positive exponents Simplifying a ratio of multivariate monomials: Basic Introduction to the quotient rule of exponents Simplifying a ratio of univariate monomials Quotient of expressions involving exponents Simplifying a ratio of multivariate monomials: Advanced Power and quotient rules with positive exponents Evaluating expressions with exponents of zero Evaluating an expression with a negative exponent: Whole number base 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 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 Power, product, and quotient rules with negative exponents MDECU3: Add, subtract, multiply, and divide polynomials. Division by monomials only. Simplifying a sum or difference of two univariate polynomials Simplifying a sum or difference of three univariate polynomials Simplifying a sum or difference of multivariate polynomials Multiplying a univariate polynomial by a monomial with a positive coefficient Multiplying a univariate polynomial by a monomial with a negative coefficient Multiplying a multivariate polynomial by a monomial Multiplying binomials with leading coefficients of 1 Multiplying binomials with leading coefficients greater than 1 Multiplying binomials in two variables Multiplying conjugate binomials: Univariate Multiplying conjugate binomials: Multivariate Squaring a binomial: Univariate (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 11/18

14 Finding x- and y-intercepts of a line given the equation: Advanced Graphing a line given its x- and y-intercepts Graphing a line by first finding its x- and y-intercepts MDECU14: Identify the slope of a line (from slope formula, graph, and equation) 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 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 Graphing a line by first finding its slope and y-intercept Linear Equations MDECU7: Solve linear equations in one variable using manipulations guided by the rules of arithmetic and the properties of equality Additive property of equality with whole numbers Multiplicative property of equality with whole numbers Using two steps to solve an equation with whole numbers Additive property of equality with decimals Additive property of equality with integers Additive property of equality with signed fractions 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 Additive property of equality with a negative coefficient Solving a two-step equation with integers Introduction to solving an equation with parentheses Solving a multi-step equation given in fractional form Solving a two-step equation with signed decimals Introduction to solving a linear equation with several occurrences of the variable 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 both sides Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution 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: Fractional forms with (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 14/18

15 monomial numerators Solving a two-step equation with signed fractions Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators Solving equations with zero, one, or infinitely many solutions MDECU8: Solve literal equations for a given variable with applications (geometry, motion [d=rt], simple interest [i=prt]) Solving for a variable in terms of other variables using addition or subtraction: Basic Solving for a variable in terms of other variables using addition or subtraction: Advanced Solving for a variable in terms of other variables using multiplication or division: Basic Solving for a variable in terms of other variables using multiplication or division: Advanced Solving for a variable in terms of other variables using addition or subtraction with division Solving for a variable inside parentheses in terms of other variables Solving for a variable in terms of other variables in a linear equation with fractions MDECU15: Solve multi-step problems involving fractions and percentages (Include situations such as simple interest, tax, markups/markdowns, gratuities and commissions, fees, percent increase or decrease, percent error, expressing rent as a percentage of take home pay) Applying the percent equation: Problem type 1 Applying the percent equation: Problem type 2 Writing a ratio as a percentage without a calculator Computing a percentage from a table of values Finding the rate of a tax or commission Finding the total amount given the percentage of a partial amount Finding the multiplier to give a final amount after a percentage increase or decrease Finding the final amount given the original amount and a percentage increase or decrease Finding the sale price given the original price and percent discount Finding the sale price without a calculator given the original price and percent discount Finding the total cost including tax or markup Finding the original amount given the result of a percentage increase or decrease Finding the original price given the sale price and percent discount Finding the percentage increase or decrease: Basic Finding the percentage increase or decrease: Advanced Finding simple interest without a calculator Computations from a circle graph Translating a phrase into a two-step expression Translating a sentence into a one-step equation Translating a sentence into a multi-step equation Solving a fraction word problem using a linear equation of the form Ax = B Solving a fraction word problem using a linear equation with the variable on both sides MDECU16: Solve linear inequalities in one variable and graph the solution set on a (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 15/18

17 Simplifying a sum or difference of radical expressions: Multivariate Introduction to square root multiplication Square root multiplication: Basic Square root multiplication: Advanced Introduction to simplifying a product of radical expressions: Univariate Simplifying a product of radical expressions: Univariate Simplifying a product of radical expressions: Multivariate Introduction to simplifying a product involving square roots using the distributive property Simplifying a product involving square roots using the distributive property: Basic MDECU17: Rationalize the denominator (monomials only) Simplifying a quotient of square roots Rationalizing a denominator: Quotient involving square roots Rationalizing a denominator: Square root of a fraction Rationalizing a denominator: Quotient involving a monomial MDECU18: Solve application problems involving geometry (Pythagorean Theorem) Introduction to the Pythagorean Theorem Pythagorean Theorem Word problem involving the Pythagorean Theorem Rationals MDECU19: Recognize proportional relationships and solve problems involving rates and ratios Solving a one-step word problem using the formula d = rt Finding a unit price Computing unit prices to find the better buy Solving a word problem on proportions using a unit rate Finding unit rates Solving a proportion of the form x/a = b/c Word problem on proportions: Problem type 1 Word problem on proportions: Problem type 2 Similar polygons Indirect measurement 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 involving rates and time conversion Word problem involving multiple rates MDECU20: Simplify, multiply, and divide rational expressions Complex fraction without variables: Problem type 1 (FF4)Copyright 2014 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 17/18

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