MAT05.NO.NBT.05

5^{th} Grade (MAT) Targeted Standard
(NO) Number and Operations
(NBT) Number Based Ten
Learners will understand the place value structure of the baseten number system and represent, compare, and perform operations with multidigit whole numbers and decimals.

MAT05.NO.NBT.05 Use concrete models, drawings, place value strategies, properties of operations and/or relationships to add, subtract, and multiply decimals to hundredths.*
Proficiency Scale
Progressions
Addition and Subtraction
 MAT01.NO.NBT.03 Add within 100 using a twodigit number and a onedigit number. Use concrete models, drawings, and strategies that reflect an understanding of place value.
 MAT02.NO.NBT.03 Add within 100 using place value strategies and/or the relationship between addition and subtraction.
 MAT01.NO.NBT.04 Subtract multiples of 10 within 100 using concrete models, drawings, and strategies that reflect an understanding of place value.
 MAT01.NO.NBT.05 Mentally add or subtract 10 to or from a given twodigit number and explain the reasoning used.
 MAT02.NO.NBT.04 Subtract within 100 using place value strategies and/or the relationship between addition and subtraction.
 MAT02.NO.NBT.05 Mentally add or subtract 10 or 100 to or from a given number between 100 and 900.
 MAT03.NO.NBT.03 Add and subtract within 1000 using place value strategies, algorithms, and/or the relationship between addition and subtraction.
 MAT04.NO.NBT.04 Add and subtract multidigit whole numbers to the one million place using strategies flexibly, including the algorithm.
 MAT05.NO.NBT.05 Use concrete models, drawings, place value strategies, properties of operations, and/or relationships to add, subtract, and multiply decimals to hundredths.
 MAT07.NO.O.01 Add, subtract, multiply, and divide integers using visual models and properties of operations in multistep authentic and mathematical problems, including authentic problems.
 MAT07.NO.O.02 Add, subtract, multiply, and divide nonnegative fractions in multistep problems, including authentic problems.
 MAT07.NO.O.03 Add, subtract, multiply, and divide nonnegative decimals to the hundredth place in multistep problems using strategies or procedures, including authentic problems.
 MAT08.NO.O.02 Add, subtract, multiply, and divide rational numbers using strategies or procedures.
 MAT09.NO.02 Perform basic operations on simple radical expressions to write a simplified equivalent expression.
 MAT09.AR.11 Add, subtract, and multiply polynomials.
 MAT12.NO.03 Demonstrate that the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational.
 MAT12.AR.13 Add, subtract, and multiply polynomials beyond quadratics. Understand that polynomials form a system comparable to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
 MAT12.NO.11 Represent addition, subtraction, multiplication, conjugation, powers, and roots of complex numbers geometrically on the complex and/or polar plane; use properties of this representation for computation.
 MAT12.NO.17 Add and subtract vectors. Represent vector subtraction graphically by connecting the tips of the appropriate order and using the components to perform vector subtraction.
 MAT12.NO.19 Represent data in a matrix. Perform operations (i.e., addition, subtraction, multiplication) on matrices of appropriate dimensions to solve problems and in context. Know that matrix multiplication is not commutative.
Multiplication and Division
 MAT03.NO.NBT.04 Multiply onedigit whole numbers by multiples of 10 within 100.
 MAT04.NO.NBT.05 Multiply a whole number up to four digits by a onedigit whole number and multiply two two digit numbers. Show and justify the calculation using equations, rectangular arrays, and models.
 MAT05.NO.NBT.04 Multiply multidigit whole numbers using strategies flexibly, including the algorithm.
 MAT05.NO.NBT.07 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use wholenumber exponents to denote powers of 10.
 MAT04.NO.NBT.06 Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors using place value strategies. Show and justify the calculation by using equations, rectangular arrays, and models.
 MAT05.NO.NBT.05 Use concrete models, drawings, place value strategies, properties of operations, and/or relationships to add, subtract, and multiply decimals to hundredths.
 MAT05.NO.NBT.06 Find wholenumber quotients and remainders with up to fourdigit dividends and twodigit divisors using place value strategies. Show and justify the calculation using equations, rectangular arrays, and/or area models.
 MAT06.NO.O.01 Divide multidigit whole numbers up to fourdigit dividends and twodigit divisors using strategies or procedures.
 MAT07.NO.O.01 Add, subtract, multiply, and divide integers and positive rational numbers using visual models and properties of operations in multistep problems, including authentic problems.
 MAT07.NO.O.02 Add, subtract, multiply, and divide nonnegative fractions in multistep problems, including authentic problems.
 MAT07.NO.O.03 Add, subtract, multiply, and divide nonnegative decimals to the hundredth place in multistep problems using strategies or procedures, including authentic problems.
 MAT08.NO.O.01 Evaluate mentally the square roots of perfect squares up to 225 and cube roots of perfect cubes up to 1000.
 MAT08.NO.O.02 Add, subtract, multiply, and divide rational numbers using strategies or procedures.
 MAT09.NO.02 Perform basic operations on radicals and simplify radicals to write equivalent expressions.
 MAT09.AR.11 Add, subtract, and multiply polynomials.
 MAT12.NO.03 Demonstrate that the sum or product of two rational numbers is rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational.
 MAT12.AR.13 Add, subtract, and multiply polynomials beyond quadratics. Understand that polynomials form a system comparable to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.
 MAT12.NO.11 Represent addition, subtraction, multiplication, conjugation, powers, and roots of complex numbers geometrically on the complex and/or polar plane; use properties of this representation for computation.
 MAT12.NO.19 Represent data in a matrix. Perform operations (i.e., addition, subtraction, multiplication) on matrices of appropriate dimensions to solve problems and in context. Know that matrix multiplication is not commutative.
