## Montana Content Standards for Kindergarten Math

ShapesFreeIn math, a shape is a geometric figure that can be described by its outline, area, and other properties. There are many different types of shapes, each with its own unique characteristics. Read more...iWorksheets: 24
Adding MoneyAdding money is the process of combining the values of different coins and bills to find the total amount. It is an essential skill for managing finances and making purchases. Read more...iWorksheets: 2
Hour/Half-hourIn kindergarten math, students are introduced to the concept of time, including understanding hours and half-hours on a clock. This is an important foundational skill that helps children develop a sense of time and learn how to tell time on both analog and digital clocks. Read more...iWorksheets: 2
How much?In math, "How much?" is a question that prompts us to find the quantity or amount of something. It is a fundamental concept that is often used in solving various mathematical problems, especially in arithmetic and basic operations. Read more...iWorksheets: 2
Liquid MeasureLiquid measure is the measurement of the volume of liquid in containers. It is important for cooking, baking, and various other activities that involve liquids. In the United States, liquid measure is typically in fluid ounces, cups, pints, quarts, and gallons. Read more...iWorksheets: 5
Measuring LengthMeasuring length is the process of determining the distance between two points. In kindergarten, children are introduced to the concept of length and learn how to measure objects using non-standard units and later with standard units such as inches, feet, or centimeters. Read more...iWorksheets: 5
MoneyFreeMoney is a medium of exchange used to facilitate transactions, such as buying goods and services. It comes in various forms, including coins and banknotes. Money is also used as a unit of account, a store of value, and a standard of deferred payment. Read more...iWorksheets: 5
One-to-OneIn kindergarten math, children learn about one-to-one correspondence, which is the concept that each object in a set is paired with exactly one object in another set. This concept is important for developing a foundational understanding of numbers and counting. Read more...iWorksheets: 2
TimeTime is a way of measuring or telling how long something takes or when something happens. We use time to know when to wake up, when to eat, when to play, and when to go to bed. Read more...iWorksheets: 5
What time of day?Printout or share Time of day worksheets. Match the pictures to Daytime and Nighttime. Understand concepts of time. Read more...iWorksheets: 2
Addition, Subtraction and FractionsAddition, Subtraction and Fractions Worksheets and Printables. Add and subtract within 20. Fractions: Slice a pizza, and we get fractions. A fraction represents part of a whole. Read more...iWorksheets: 11
Comparing, and orderingComparing and ordering are important concepts in mathematics. When we compare numbers, we are determining if one number is greater than, less than, or equal to another number. When we order numbers, we are arranging them in a sequence from least to greatest or greatest to least. Read more...iWorksheets: 9
Counting 1-100FreeCounting from 1 to 100 is an important skill for young learners. It helps them build a strong foundation in number recognition and understanding of the number sequence. Here's a step-by-step guide to counting from 1 to 100: 1.Start with the basics: Begin by teaching children to recite numbers from 1 to 10. Use visual aids such as number charts, number lines, or counting blocks to help them visualize the sequence of numbers. 2.Practice counting by 10s: Once children are comfortable counting from 1 to 10, introduce counting by 10s up to 100. Emphasize the pattern of adding a zero to the previous number (10, 20, 30, and so on). 3.Counting by 1s: After mastering counting by 10s, encourage children to count by 1s up to 100. Use hands-on activities, such as counting objects or hopping along a number line, to make the learning experience interactive and engaging. 4.Identifying patterns: Help children recognize patterns within the number sequence, such as recurring digits (11, 22, 33, etc.) and the alternating pattern of odd and even numbers. Reinforcement and practice: Provide plenty of opportunities for children to practice counting independently. Incorporate counting games, worksheets, and daily activities that involve counting to reinforce their skills. Read more...iWorksheets: 6
Number OrderNumber order refers to the arrangement of numbers from smallest to largest (ascending order) or from largest to smallest (descending order). Read more...iWorksheets: 2
Numbers 1-10In kindergarten math, we start by learning about the numbers 1 to 10. These numbers are the building blocks of early math education and are the foundation for understanding more complex mathematical concepts. Read more...iWorksheets: 21
Whole NumbersFreeWhole numbers are a set of numbers that include all the natural numbers (also known as counting numbers) along with zero. The set of whole numbers is represented as {0, 1, 2, 3, 4, ...}. These numbers are used for counting objects and are commonly used in everyday life. Read more...iWorksheets: 45

### MT.CC.K.CC. Counting and Cardinality

#### Know number names and the count sequence.

##### K.CC.1. Count to 100 by ones and by tens.
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1
Skip CountingWhat is Skip Counting? Skip counting means you do not say every number as you count. You only count special numbers. There are many different ways to skip count. E.g. when counting by twos, you only say every second number: 2 4 6 8 10. Read more...iWorksheets :3Study Guides :1
##### K.CC.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1

#### Count to tell the number of objects.

##### K.CC.4. Understand the relationship between numbers and quantities; connect counting to cardinality.
###### K.CC.4.a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object from a variety of cultural contexts, including those of Montana American Indians.
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
Skip CountingWhat is Skip Counting? Skip counting means you do not say every number as you count. You only count special numbers. There are many different ways to skip count. E.g. when counting by twos, you only say every second number: 2 4 6 8 10. Read more...iWorksheets :3Study Guides :1
###### K.CC.4.b. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
Skip CountingWhat is Skip Counting? Skip counting means you do not say every number as you count. You only count special numbers. There are many different ways to skip count. E.g. when counting by twos, you only say every second number: 2 4 6 8 10. Read more...iWorksheets :3Study Guides :1
###### K.CC.4.c. Understand that each successive number name refers to a quantity that is one larger.
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1
##### K.CC.5. Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects from a variety of cultural contexts, including those of Montana American Indians.
Odd and EvenAll numbers are either odd or even. When a number is even, it can be split into two sets without any leftovers. When you split a number into two sets and there is one left over, that means the number is odd. Read more...iWorksheets :4Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1
Skip CountingWhat is Skip Counting? Skip counting means you do not say every number as you count. You only count special numbers. There are many different ways to skip count. E.g. when counting by twos, you only say every second number: 2 4 6 8 10. Read more...iWorksheets :3Study Guides :1

#### Compare numbers.

##### K.CC.6. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
Greater Than, Less ThanWhen a number is greater than another number, it means that is is larger. > is the greater than symbol. < is the less than symbol. Read more...iWorksheets :3Study Guides :1Vocabulary :1
SymmetryWhat is Symmetry? Symmetry is when a shape or an object can be folded and both sides of the fold are the same size and shape. The fold line is called the line of symmetry. Not all shapes or objects have a line of symmetry. Read more...iWorksheets :3Study Guides :1Vocabulary :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1
##### K.CC.7. Compare two numbers between 1 and 10 presented as written numerals.
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
Greater Than, Less ThanWhen a number is greater than another number, it means that is is larger. > is the greater than symbol. < is the less than symbol. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Ordering Numbers and Objects by SizeWhat is Ordering? Ordering is when numbers or objects are in a sequence. They may go from smallest to largest. They may go from largest to smallest. Read more...iWorksheets :5Study Guides :1
SequencingWhat is Sequencing? Sequencing means in order. When we count, we count in order or in a sequence. We use sequencing in our every day lives. We follow directions and count in sequence. Try counting by ones. As you say the number, put your finger on the number on the page. 1 2 3 4 5 6 7 8 9 10. Read more...iWorksheets :4Study Guides :1

### MT.CC.K.OA. Operations and Algebraic Thinking

#### Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

##### K.OA.1. Represent addition and subtraction with objects, fingers, mental images, drawings2, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
Story ProblemsStory problems are a set of sentences that give you the information to a problem that you need to solve. With a story problem, it is your job to figure out whether you will use addition or subtraction to solve the problem. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
Commutative PropertyWhat is the commutative property? It is used in addition. Commutative property is when a number sentence is turned around and it still means the same thing. Read more...iWorksheets :3Study Guides :1Vocabulary :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1
##### K.OA.2. Solve addition and subtraction word problems from a variety of cultural contexts, including those of Montana American Indians, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Story ProblemsStory problems are a set of sentences that give you the information to a problem that you need to solve. With a story problem, it is your job to figure out whether you will use addition or subtraction to solve the problem. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
Commutative PropertyWhat is the commutative property? It is used in addition. Commutative property is when a number sentence is turned around and it still means the same thing. Read more...iWorksheets :3Study Guides :1Vocabulary :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1
##### K.OA.3. Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1
##### K.OA.4. For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1
##### K.OA.5. Fluently add and subtract within 5.
Story ProblemsStory problems are a set of sentences that give you the information to a problem that you need to solve. With a story problem, it is your job to figure out whether you will use addition or subtraction to solve the problem. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Using Number LineWhat is a Number Line? Number lines can be used to help with many different ways. The most common ways are for addition and subtraction. Read more...iWorksheets :4Study Guides :1
Commutative PropertyWhat is the commutative property? It is used in addition. Commutative property is when a number sentence is turned around and it still means the same thing. Read more...iWorksheets :3Study Guides :1Vocabulary :1
One Less, One MoreWhat is One Less or One More? One less means the number that comes before. One more means the number that comes after. How to figure out one more: If you are given a number, say 2. You are asked to find the number that is one more. You count on from 2 and the answer is 3. Read more...iWorksheets :3Study Guides :1

### MT.CC.K.NBT. Number and Operations in Base Ten

#### Work with numbers 11-19 to gain foundations for place value.

##### K.NBT.1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
Subtraction FactsSubtraction is taking a group of objects and separating them. When you subtract, your answer gets smaller. If you subtract zero from a number, you answer will stay the same. Read more...iWorksheets :5Study Guides :1Vocabulary :1

### MT.CC.K.MD. Measurement and Data

#### Describe and compare measurable attributes.

##### K.MD.1. Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.
MeasurementFreeWhat is measurement? Measurement is used in our everyday lives. We measure to cook or bake, and how far away a place is. There are metric measurements which include liters, centimeters, grams and kilograms. Read more...iWorksheets :12Study Guides :1Vocabulary :2
How long?In kindergarten, students start learning about measurements, including the concept of length. Understanding "how long" something is involves comparing the size of objects or distances. Here are some key points to cover when teaching the concept of length. Read more...iWorksheets :4
##### K.MD.2. Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter.
AttributesFreeAn attribute describes an object. <br>You use attributes to describe two objects when they are not the same. <br>An attribute can tell you if an object is shorter, taller, longer or smaller than another object. Read more...iWorksheets :19Study Guides :1Vocabulary :3
Ordering Numbers and Objects by SizeWhat is Ordering? Ordering is when numbers or objects are in a sequence. They may go from smallest to largest. They may go from largest to smallest. Read more...iWorksheets :5Study Guides :1
ColorsFreeColors are all around us and are an important part of our daily lives. In kindergarten, children learn about the basic colors and how to identify and differentiate between them. Read more...iWorksheets :21
TemperatureTemperature is a measure of how hot or cold something is. It is a fundamental concept in science and is used in everyday life to describe our environment. In the context of weather, temperature is a crucial factor that determines the conditions outside. In the study of materials, temperature affects their properties and behavior. Read more...iWorksheets :2
Sort, classify, and order objectsIn kindergarten math, children learn to sort, classify, and order objects as a foundational skill for understanding mathematical concepts. These skills help children make sense of the world around them and develop important cognitive abilities. Read more...iWorksheets :20
PositionFreePosition refers to the location of an object in space relative to a reference point or another object. In kindergarten math, children begin to learn about position through activities that involve describing the location of objects using basic positional words such as "in," "on," "under," "beside," "behind," "in front of," "above," and "below." Read more...iWorksheets :8
On & OffWhen we talk about "on" and "off," we are referring to whether something is in a state of being active or inactive.For example, a light switch can be turned "on" to make the light bulb glow, or it can be turned "off" to make the light bulb go dark. Read more...iWorksheets :2
Wet & DryIn Kindergarten math, children learn about the concept of wet and dry. This topic introduces them to the idea of the different states of materials, particularly focusing on the properties of liquids and solids. Read more...iWorksheets :2
Patterns & SortingPattern is a repeated arrangement of shapes, colors, numbers etc... The Pattern can be related to any type of event or object. Early introduction to patterns and sorting things into groups help kids to better observe how things are alike and different. Read more...iWorksheets :22

#### Classify objects and count the number of objects in each category.

##### K.MD.3. Classify objects from a variety of cultural contexts, including those of Montana American Indians, into given categories; count the numbers of objects in each category and sort the categories by count.
AttributesFreeAn attribute describes an object. <br>You use attributes to describe two objects when they are not the same. <br>An attribute can tell you if an object is shorter, taller, longer or smaller than another object. Read more...iWorksheets :19Study Guides :1Vocabulary :3
Ordering Numbers and Objects by SizeWhat is Ordering? Ordering is when numbers or objects are in a sequence. They may go from smallest to largest. They may go from largest to smallest. Read more...iWorksheets :5Study Guides :1
ColorsFreeColors are all around us and are an important part of our daily lives. In kindergarten, children learn about the basic colors and how to identify and differentiate between them. Read more...iWorksheets :21
TemperatureTemperature is a measure of how hot or cold something is. It is a fundamental concept in science and is used in everyday life to describe our environment. In the context of weather, temperature is a crucial factor that determines the conditions outside. In the study of materials, temperature affects their properties and behavior. Read more...iWorksheets :2
Sort, classify, and order objectsIn kindergarten math, children learn to sort, classify, and order objects as a foundational skill for understanding mathematical concepts. These skills help children make sense of the world around them and develop important cognitive abilities. Read more...iWorksheets :20
PositionFreePosition refers to the location of an object in space relative to a reference point or another object. In kindergarten math, children begin to learn about position through activities that involve describing the location of objects using basic positional words such as "in," "on," "under," "beside," "behind," "in front of," "above," and "below." Read more...iWorksheets :8
On & OffWhen we talk about "on" and "off," we are referring to whether something is in a state of being active or inactive.For example, a light switch can be turned "on" to make the light bulb glow, or it can be turned "off" to make the light bulb go dark. Read more...iWorksheets :2
Wet & DryIn Kindergarten math, children learn about the concept of wet and dry. This topic introduces them to the idea of the different states of materials, particularly focusing on the properties of liquids and solids. Read more...iWorksheets :2
Patterns & SortingPattern is a repeated arrangement of shapes, colors, numbers etc... The Pattern can be related to any type of event or object. Early introduction to patterns and sorting things into groups help kids to better observe how things are alike and different. Read more...iWorksheets :22

### MT.CC.K.G. Geometry

#### Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

##### K.G.1. Describe objects, including those of Montana American Indians, in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.
ShapesFreeA shape is the form something takes. Read more...iWorksheets :12Study Guides :1Vocabulary :2
SymmetryWhat is Symmetry? Symmetry is when a shape or an object can be folded and both sides of the fold are the same size and shape. The fold line is called the line of symmetry. Not all shapes or objects have a line of symmetry. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Relative PositionWhat is Relative Position? Relative position describes where an object or person is compared to another object or person. The terms used in relative position are: below, up, next to, left, right, under, over, behind, on front of, far near, down. Read more...iWorksheets :12Study Guides :1Vocabulary :2
##### K.G.2. Correctly name shapes regardless of their orientations or overall size.
ShapesFreeA shape is the form something takes. Read more...iWorksheets :12Study Guides :1Vocabulary :2

#### Analyze, compare, create, and compose shapes.

##### K.G.4. Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).
ShapesFreeA shape is the form something takes. Read more...iWorksheets :12Study Guides :1Vocabulary :2
##### K.G.5. Model shapes in the world from a variety of cultural contexts, including those of Montana American Indians, by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
ShapesFreeA shape is the form something takes. Read more...iWorksheets :12Study Guides :1Vocabulary :2
SymmetryWhat is Symmetry? Symmetry is when a shape or an object can be folded and both sides of the fold are the same size and shape. The fold line is called the line of symmetry. Not all shapes or objects have a line of symmetry. Read more...iWorksheets :3Study Guides :1Vocabulary :1