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Rational Numbers - Compare and Ordergiven no more than three sets, each set containing 10 or fewer concrete objects, will compare and describe one set as having more, fewer, or the same number of objects as other setsgiven no more than three sets, each set containing 10 or fewer concrete objects, will compare and order sets from least to greatestcompare two numbers between 0 and 100 represented pictorially or with concrete objects, using the words greater than, less than or equal toorder three or fewer sets from least to greatest and greatest to leastcompare and order whole numbers between 0 and 999compare the unit fractions for halves, fourths, eighths, thirds, and sixths, with modelscompare and order whole numbers, each 9,999 or lesscompare fractions having like and unlike denominators, using words and symbols (<, >, =, or ≠), with modelscompare and order whole numbers expressed through millionscompare and order fractions and mixed numbers, with and without models*compare and order decimalscompare and order fractions, mixed numbers, and/or decimals, in a given set, from least to greatest and greatest to least*compare and order positive rational numbers*order and compare integerscompare and numbers greater than zero written in scientific notation*compare and order rational numbers*compare and order real numbersEQUALITY/SOLVING EQUATIONSdemonstrate an understanding of equality through the use of the equal symboldemonstrate an understanding of equality through the use of the equal symbol = and the use of the not equal symbol ≠create equations to represent equivalent mathematical relationships recognize and demonstrate the meaning of equality in an equationwrite an equation to represent a given mathematical relationship, using a variablecreate a problem situation based on a given equation, using a single variablesolve one-step linear equations in one variable, including practical problemssolve two-step linear equations in one variable, including practical problemssolve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphicallysolve multistep linear equations in one variable with the variable on one and both sides of the equation, including practical problemssolve multistep linear equations in one variable algebraicallysolve quadratic equations in one variable algebraicallysolve literal equations for a specified variablesolve systems of two linear equations in two variables algebraically and graphicallysolve practical problems involving equations and systems of equationssolve absolute value linear equationssolve algebraically and graphically, quadratic equations over the set of complex numberssolve algebraically and graphically, equations containing rational algebraic expressionsPractical Applications – Rational Numbers and Proportional Reasoningsolve practical problems that involve addition and subtraction with proper fractions having like denominators of 12 or lesssolve single-step practical problems involving addition and subtraction with fractions and mixed numberssolve single-step and multistep practical problems involving addition and subtraction with decimalscreate and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numberscreate and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimalssolve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numberssolve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models*solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numberssolve multistep practical problems involving addition, subtraction, multiplication, and division of decimalssolve practical problems involving operations with integerssolve practical problems involving operations with rational numberssolve single-step and multistep practical problems, using proportional reasoningsolve practical problems involving consumer applications SOLKey- Rational Numbers - Compare and OrderK.2agiven no more than three sets, each set containing 10 or fewer concrete objects, will compare and describe one set as having more, fewer, or the same number of objects as other setsK.2bgiven no more than three sets, each set containing 10 or fewer concrete objects, will compare and order sets from least to greatest1.2bcompare two numbers between 0 and 100 represented pictorially or with concrete objects, using the words greater than, less than or equal to1.2corder three or fewer sets from least to greatest and greatest to least2.1ccompare and order whole numbers between 0 and 9992.4ccompare the unit fractions for halves, fourths, eighths, thirds, and sixths, with models3.1ccompare and order whole numbers, each 9,999 or less3.2ccompare fractions having like and unlike denominators, using words and symbols (<, >, =, or ≠), with models4.1bcompare and order whole numbers expressed through millions4.2acompare and order fractions and mixed numbers, with and without models*4.3ccompare and order decimals5.2bcompare and order fractions, mixed numbers, and/or decimals, in a given set, from least to greatest and greatest to least*6.2bcompare and order positive rational numbers*6.3border and compare integers7.1bcompare and numbers greater than zero written in scientific notation*7.1ccompare and order rational numbers*8.1compare and order real numbersSOLKEY-EQUALITY/SOLVING EQUATIONS1.15demonstrate an understanding of equality through the use of the equal symbol2.17demonstrate an understanding of equality through the use of the equal symbol = and the use of the not equal symbol ≠3.17create equations to represent equivalent mathematical relationships 4.16recognize and demonstrate the meaning of equality in an equation5.19bwrite an equation to represent a given mathematical relationship, using a variable5.19dcreate a problem situation based on a given equation, using a single variable6.13solve one-step linear equations in one variable, including practical problems7.12solve two-step linear equations in one variable, including practical problems8.17solve multistep linear equations in one variable with the variable on one and both sides of the equation, including practical problemsA.4asolve multistep linear equations in one variable algebraicallyA.4bsolve quadratic equations in one variable algebraicallyA.4csolve literal equations for a specified variableA.4dsolve systems of two linear equations in two variables algebraically and graphicallyA.4esolve practical problems involving equations and systems of equationsAII.3asolve absolute value linear equationsAII.3bsolve algebraically and graphically, quadratic equations over the set of complex numbersAII.3csolve algebraically and graphically, equations containing rational algebraic expressionsAII.3dsolve algebraically and graphically, equations containing radical expressionsAII.4solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphicallySOLKey- Practical Applications – Rational Numbers and Proportional Reasoning3.5solve practical problems that involve addition and subtraction with proper fractions having like denominators of 12 or less4.5csolve single-step practical problems involving addition and subtraction with fractions and mixed numbers4.6bsolve single-step and multistep practical problems involving addition and subtraction with decimals5.4create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numbers5.5bcreate and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals5.6asolve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers5.6bsolve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models*6.5bsolve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers6.5csolve multistep practical problems involving addition, subtraction, multiplication, and division of decimals6.6bsolve practical problems involving operations with integers7.2solve practical problems involving operations with rational numbers7.3solve single-step and multistep practical problems, using proportional reasoning8.4solve practical problems involving consumer applications ................
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