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#### MAT-02.NO.NBT.05

 2nd Grade (MAT) Targeted Standard    (NO) Number and Operations  (NBT) Number Based Ten Learners will understand the place value structure of the base-ten number system and represent, compare, and perform operations with multi-digit whole numbers and decimals.

## Progressions

• MAT-01.NO.NBT.03 Add within 100 using a two-digit number and a one-digit number. Use concrete models, drawings, and strategies that reflect an understanding of place value.
• MAT-02.NO.NBT.03 Add within 100 using place value strategies and/or the relationship between addition and subtraction.
• MAT-01.NO.NBT.04 Subtract multiples of 10 within 100 using concrete models, drawings, and strategies that reflect an understanding of place value.
• MAT-01.NO.NBT.05 Mentally add or subtract 10 to or from a given two-digit number and explain the reasoning used.
• MAT-02.NO.NBT.04 Subtract within 100 using place value strategies and/or the relationship between addition and subtraction.
• MAT-02.NO.NBT.05 Mentally add or subtract 10 or 100 to or from a given number between 100 and 900.
• MAT-03.NO.NBT.03 Add and subtract within 1000 using place value strategies, algorithms, and/or the relationship between addition and subtraction.
• MAT-04.NO.NBT.04 Add and subtract multi-digit whole numbers to the one million place using strategies flexibly, including the algorithm.
• MAT-05.NO.NBT.05 Use concrete models, drawings, place value strategies, properties of operations, and/or relationships to add, subtract, and multiply decimals to hundredths.
• MAT-07.NO.O.01 Add, subtract, multiply, and divide integers using visual models and properties of operations in multi-step authentic and mathematical problems, including authentic problems.
• MAT-07.NO.O.02 Add, subtract, multiply, and divide non-negative fractions in multi-step problems, including authentic problems.
• MAT-07.NO.O.03 Add, subtract, multiply, and divide non-negative decimals to the hundredth place in multi-step problems using strategies or procedures, including authentic problems.
• MAT-08.NO.O.02 Add, subtract, multiply, and divide rational numbers using strategies or procedures.
• MAT-09.NO.02 Perform basic operations on simple radical expressions to write a simplified equivalent expression.
• MAT-09.AR.11 Add, subtract, and multiply polynomials.
• MAT-12.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.
• MAT-12.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.
• MAT-12.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.
• MAT-12.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.
• MAT-12.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.

#### MAT-02.NO.NF.01

 2nd Grade (MAT) Targeted Standard    (NO) Number and Operations  (NF) Factions Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.

## Progressions

Fractions - Partition Shapes

• MAT-01.NO.NF.01 Partition circles and rectangles into two and four equal shares using the language halves and fourths.
• MAT-02.NO.NF.01 Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the language of halves, thirds, fourths, half of, a third of, and a fourth of.
• MAT-02.NO.NF.02 Recognize that identical wholes can be equally divided in different ways.
• MAT-02.NO.NF.03 Recognize that partitioning shapes into more equal shares creates smaller shares.
• MAT-03.NO.NF.01 Partition two-dimensional figures into equal areas and express the area of each part as a unit fraction of the whole. Describe using the language of sixths, eighths, a sixth of, and an eighth of.

#### MAT-02.NO.NF.02

 2nd Grade (MAT) Targeted Standard    (NO) Number and Operations  (NF) Factions Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.

## Progressions

Fractions - Partition Shapes

• MAT-01.NO.NF.01 Partition circles and rectangles into two and four equal shares using the language halves and fourths.
• MAT-02.NO.NF.01 Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the language of halves, thirds, fourths, half of, a third of, and a fourth of.
• MAT-02.NO.NF.02 Recognize that identical wholes can be equally divided in different ways.
• MAT-02.NO.NF.03 Recognize that partitioning shapes into more equal shares creates smaller shares.
• MAT-03.NO.NF.01 Partition two-dimensional figures into equal areas and express the area of each part as a unit fraction of the whole. Describe using the language of sixths, eighths, a sixth of, and an eighth of.

#### MAT-02.NO.NF.03

 2nd Grade (MAT) Targeted Standard    (NO) Number and Operations  (NF) Factions Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.

## Progressions

Fractions - Partition Shapes

• MAT-01.NO.NF.01 Partition circles and rectangles into two and four equal shares using the language halves and fourths.
• MAT-02.NO.NF.01 Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the language of halves, thirds, fourths, half of, a third of, and a fourth of.
• MAT-02.NO.NF.02 Recognize that identical wholes can be equally divided in different ways.
• MAT-02.NO.NF.03 Recognize that partitioning shapes into more equal shares creates smaller shares.
• MAT-03.NO.NF.01 Partition two-dimensional figures into equal areas and express the area of each part as a unit fraction of the whole. Describe using the language of sixths, eighths, a sixth of, and an eighth of.

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