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### M

#### MAT-01.GM.G.04

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (G) Geometry Learners will compose and classify figures and shapes based on attributes and properties; represent and solve problems using a coordinate plane.

## Progressions

Compose Shapes

• MAT-00.GM.G.04 Compose a geometric shape by combining two or more simple shapes.
• MAT-01.GM.G.04 Compose a geometric shape or solid by combining multiple two-dimensional shapes and/or three-dimensional solids.
• MAT-02.GM.G.03 Compose shapes having specified geometric attributes, such as a given number of edges, angles, faces, vertices, and/or sides.
• MAT-07.GM.GF.01 Draw triangles from given conditions using appropriate tools. Defend whether a unique triangle, multiple triangles, or no triangle can be constructed when given three measures of angles or sides.
• MAT-10.GM.12 Make basic geometric constructions (e.g., segments, angles, bisectors, parallel and perpendicular lines) with a variety of tools and methods.
• MAT-10.GM.13 Apply basic construction to create polygons such as equilateral triangles, squares, and regular hexagons inscribed in a circle.

#### MAT-01.GM.M.01

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (M) Measurement Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

## Progressions

Measure Length

• MAT-01.GM.M.01 Measure the length of an object as a whole number of same-size, non-standard units from end to end.
• MAT-02.GM.M.01 Measure the length of an object using two different standard units of measurement. Describe how the two measurements relate to the size of the units chosen.
• MAT-03.GM.M.01 Measure lengths using rulers marked with halves and fourths of an inch.
• MAT-10.GM.25 Explain and use the formulas for arc length and area of sectors of circles.
• MAT-10.GM.26 Recognize that the radian measure of an angle is the ratio of the length of the arc to the length of the radius of a circle.

#### MAT-01.GM.M.02

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (M) Measurement Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

## Progressions

Compare Objects

• MAT-00.GM.M.01 Compare and order two objects with a common measurable attribute.
• MAT-01.GM.M.02 Compare the lengths of three objects using a common measurable attribute.
• MAT-02.GM.M.02 Estimate and measure to determine how much longer one object is than another, expressing the difference with a standard unit of measurement.

#### MAT-01.GM.M.03

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (M) Measurement Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

## Progressions

Time

• MAT-00.GM.M.02 Tell time as it relates to daily life (today, yesterday, tomorrow, morning, afternoon, night).
• MAT-01.GM.M.03 Tell and write time to the hour and half-hour (including o'clock and half past) using analog and digital clocks.
• MAT-02.GM.M.03 Tell and write time to the nearest five minutes (including quarter after and quarter to) with a.m. and p.m. using analog and digital clocks.
• MAT-03.GM.M.03 Tell and write time to the nearest minute and measure time intervals in minutes.
• MAT-03.GM.M.04 Solve elapsed time authentic word problems on the hour and the half-hour, using a variety of strategies.

#### MAT-01.GM.M.04

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (M) Measurement Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

## Progressions

Money

• MAT-01.GM.M.04 Identify and tell the value of a dollar bill, quarter, dime, nickel, and penny.
• MAT-01.GM.M.05 Count collections of coins (pennies, nickels, and dimes) relating to patterns of counting by 1s, 5s, and 10s up to one dollar.
• MAT-02.GM.M.04 Count collections of money (quarters, dimes, nickels, and pennies) relating to patterns of counting by 1s, 5s, and 10s up to one dollar.
• MAT-03.GM.M.05 Solve authentic word problems involving dollar bills, quarters, dimes, nickels, and pennies using the $and ¢ symbols appropriately. • MAT-04.GM.M.04 Solve word authentic problems involving dollar bills, quarters, dimes, nickels, and pennies using the$ and ¢ symbols and decimal notation appropriately.

#### MAT-01.GM.M.05

 1st Grade (MAT) Targeted Standard     (GM) Geometry and Measurement (M) Measurement Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

## Progressions

Money

• MAT-01.GM.M.04 Identify and tell the value of a dollar bill, quarter, dime, nickel, and penny.
• MAT-01.GM.M.05 Count collections of coins (pennies, nickels, and dimes) relating to patterns of counting by 1s, 5s, and 10s up to one dollar.
• MAT-02.GM.M.04 Count collections of money (quarters, dimes, nickels, and pennies) relating to patterns of counting by 1s, 5s, and 10s up to one dollar.
• MAT-03.GM.M.05 Solve authentic word problems involving dollar bills, quarters, dimes, nickels, and pennies using the $and ¢ symbols appropriately. • MAT-04.GM.M.04 Solve word authentic problems involving dollar bills, quarters, dimes, nickels, and pennies using the$ and ¢ symbols and decimal notation appropriately.

#### MAT-01.NO

MAT-01.NO Domain

# (NO) Number and Operations

## Sub-Categories

• (CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
• (NBT) Number Base 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.
• (NF) Number Fractions
Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.
• (NS) Number System
Learners will expand their knowledge of the number system to create connections and solve problems within and across concepts.
• (O) Operations
Learners will expand their computational fluency to create connections and solve problems within and across concepts.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-01.NO.CC.01

 1st Grade (MAT) Targeted Standard    (NO) Number and Operations  (CC) Counting and Cardinality Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

## Progressions

Counting Forward

• MAT-00.NO.CC.01 Count verbally in sequential order by ones and tens to 100, making accurate decuple transitions (ex.89 to 90). Count verbally forward from any given number within 100.
• MAT-01.NO.CC.01 Count forward by ones and tens from any given point within 120.
• MAT-02.NO.CC.01 Count forward from any given number within 1000.

#### MAT-01.NO.CC.02

 1st Grade (MAT) Targeted Standard    (NO) Number and Operations  (CC) Counting and Cardinality Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

## Progressions

Counting Backward

• MAT-00.NO.CC.02 Count backward from 20 by ones and from a given number within 10.
• MAT-01.NO.CC.02 Count backward by ones and tens from any given number within 120.
• MAT-02.NO.CC.02 Count backward from any given number within 1000.

#### MAT-01.NO.CC.03

 1st Grade (MAT) Targeted Standard    (NO) Number and Operations  (CC) Counting and Cardinality Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

## Progressions

Number Identification and Writing

• MAT-00.NO.CC.03 Identify and write any given numeral within 20.
• MAT-01.NO.CC.03 Represent several objects with a written numeral up to 120.
• MAT-02.NO.CC.03 Read and write numbers up to 1,000 using standard, word, and expanded forms.
• MAT-03.NO.CC.01 Read and write numbers up to 10,000 using objects or visual representations including standard and expanded forms.
• MAT-04.NO.CC.01 Read numbers to the millions place including word, standard and expanded form. Write numbers to the millions place including standard and expanded form.
• MAT-05.NO.CC.01 Read, write, and compare decimals to the thousandths including standard and expanded forms.

#### MAT-01.NO.CC.04

 1st Grade (MAT) Targeted Standard    (NO) Number and Operations  (CC) Counting and Cardinality Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

## Progressions

Subitizing

• MAT-00.NO.CC.04 Recognize and verbally label arrangements, without counting, for briefly shown collections up to 10 (e.g., "I saw 5." How do you know?" "I saw 3 and 2, that is 5.").
• MAT-01.NO.CC.04 Recognize and verbally label arrangements, without counting, for briefly shown collections up to 20 (e.g., "I saw 16." "How did you know?" "I saw 10 and 6, that is 16.").

#### MAT-01.NO.CC.05

 1st Grade (MAT) Targeted Standard    (NO) Number and Operations  (CC) Counting and Cardinality Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

## Progressions

Counting Patterns

• MAT-00.NO.CC.05 Count and tell how many objects up to 20 are in an arranged pattern or up to 10 objects in a scattered configuration. Represent a quantity of up to 20 with a numeral.
• MAT-01.NO.CC.05 Skip count forward and backward by 5s and 10s from multiples and recognize the patterns of up to 10 skip counts.
• MAT-02.NO.CC.04 Skip count forward and backward by 2s and 100s and recognize the patterns of skip counts.
• MAT-10.DPS.09 Determine the number of outcomes using permutations and combinations in context.
• MAT-12.DPS.11 Use permutations and combinations to compute probabilities of compound events and solve problems.

#### MAT-01.NO.NBT.01

 1st 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

Place Value

• MAT-00.NO.NBT.01 Compose and decompose numbers from 11 to 19 using a group of ten ones and some more ones using a model, drawing, or equation.
• MAT-01.NO.NBT.01 Demonstrate that the two digits of a two-digit number represent a composition of some tens and some ones.
• MAT-02.NO.NBT.01 Understand that the three digits of a three-digit number represent a composition of some hundreds, some tens, and some ones.
• MAT-04.NO.NBT.01 Understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
• MAT-05.NO.NBT.01 Understand that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• MAT-08.NO.NS.03 Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in scientific and standard notation.

#### MAT-01.NO.NBT.02

 1st 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

Compare Numbers and/or Expressions

• MAT-00.NO.NBT.02 Compare two numbers between 1 and 20 using words greater than, less than, or equal to.
• MAT-01.NO.NBT.02 Compare two two-digit numbers using symbols >, <, and =. Justify comparisons based on the number of tens and ones.
• MAT-02.NO.NBT.02 Compare two three-digit numbers using symbols >, <, and =. Justify comparisons based on the value of thousands, hundreds, tens, and ones.
• MAT-03.NO.NBT.01 Compare two four-digit numbers using symbols, >, <, and =. Justify comparisons based on the value of thousands, hundreds, tens, and ones.
• MAT-04.NO.NBT.02 Compare two numbers to the millions place and decimals to the hundredths place, using symbols >, <, and =. Justify comparisons based on the value of the digits.
• MAT-05.NO.NBT.02 Compare two decimals to thousandths using symbols >, <, and =. Justify comparisons based on the value of the digits.
• MAT-06.NO.NS.01 Explain and show the relationship between non-zero rational numbers and their opposites using horizontal and vertical number lines in authentic problems. Use rational numbers to represent quantities in authentic contexts and explain the meaning of 0 in certain situations.
• MAT-06.NO.NS.02 Write, interpret, and explain statements of order for rational numbers on a number line and in authentic contexts.
• MAT-07.NO.NS.01 Describe the absolute value of a number as its distance from zero on a number line.
• MAT-08.NO.NS.01 Compare and classify real numbers within the real number system.
• MAT-08.NO.NS.02 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them on a number line diagram, and estimate the value of irrational expressions involving one operation.
• MAT-08.NO.NS.03 Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in scientific and standard notation.
• MAT-09.AR.06 Solve linear equations and inequalities (to include compound inequalities) in one variable.
• MAT-09.AR.08 Graph the solution set to a two-variable system of linear equations. Create and graph the solution set to a two-variable system of linear inequalities in context.
• MAT-09.AR.09 Solve absolute value equations and inequalities in one or two variables.
• MAT-12.AR.09 Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or non-viable options in a modeling context.

#### MAT-01.NO.NBT.03

 1st 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

Addition and Subtraction

• 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.

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