CONTENT TYPE
TOPIC
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Number Sense (387)
- Number Recognition (65)
- Number Sequence (52)
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Counting (115)
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Counting Objects Within 3 (3)
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Counting Objects Within 5 (31)
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Counting Objects Within 10 (49)
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Counting Objects Within 20 (3)
- Writing Numbers (20)
- Compare and Order Numbers (64)
- Skip Counting (24)
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Even and Odd Numbers (4)
- Place Value (122)
- Addition (341)
- Subtraction (238)
- Multiplication (199)
- Division (109)
- Fractions (173)
- Decimals (150)
- Geometry (128)
- Measurement (175)
- Time (35)
- Money (57)
- Algebra (35)
- Word Problems (57)
Games for Kids on Counting Objects within 3 (3)
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Games for Kids on Counting Objects within 5 (31)
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Games for Kids on Counting Objects within 10 (49)
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Games for Kids on Counting Objects within 20 (3)
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All Counting Games for Kids
Frequently Asked Questions:
Q1: What are the activities to learn counting numbers?
Ans: To learn counting numbers, students can use pictures to count, they can also count on fingers or use counters to count. Kids can learn counting numbers by playing games or using fun drawing and coloring activities and worksheets Further, they can also count forward or backward to practice counting.
Q2: How do we introduce counting to kids?
Ans: We can introduce counting to kids by looking at the things and objects in our surroundings and asking them "how many objects are there"? Kids learn to count by using their fingers. They may also use counters to count all the objects. Once they can easily count things up to 5, they can be gradually taught to count larger quantities using other counting techniques.
Q3: Till what number a child should be able to count in every grade?
Ans: A kindergartener should be able to count till 20, a first grader should be able to count till 100. In later grades, children learn to skip count by 2s, 5s and 10s and representing bigger numbers using the place value system.
An Overview of Counting
The concept of counting refers to the enumeration using digits 0 to 9. The numbers formed by the digits are used to count numerous things. These things can be objects such as crayons, pins, beads as well as days, months or any other measurable attribute or quantity.
Few examples of counting are:
- Each calendar has 12 months
- A week has 7 days
The mathematical techniques and strategies used to learn “counting” lay the basis for comprehending number sense and place-value pertaining to numbers. The earliest interaction to counting in kids start from counting their body parts such as eyes, fingers, toes, ears, and others.
With each grade in the preschool educational curriculum, “counting” methods are nurtured by employing various math tools and procedures.
Upcoming section reviews the significance of math games for learning to count.
Math Games for Teaching Counting
The first step to embrace math initiates with counting. Kids learn to identify, group and classify objects in an order with the techniques of counting to answer math problems. Starting from the kindergarten, development of the number-sense in each grade enhances the counting skills. The following section outlines the projected learning and the corresponding outcomes.
1. Learning & outcome: The counting of objects using symbols 0 to 9 of the decimal number system is the early exposure to learn math. Basic puzzles for 3 year olds such as counting, identifying shapes, cubical blocks or colors through verbal math lessons initiate the learning. In later grades, kids learn to arrange digits in an order to write consecutive numbers and deduce arithmetical values by comprehending. Projected learning outcomes from the math lessons of preschool education are enlisted as follows:
- Introduction to the basic methods of counting by identifying distinct objects and enumerating them when bundled together
- Assimilating the counting concepts by incorporating the knowledge of decimal digits and the associated arithmetic value
- Representing 2 and 3-digit numbers verbally and textually for easy counting and to understand basic math operations such as addition and subtraction
- Applying the counting strategies to solve math word problems using various learning tools such as base-10 blocks and counters
- Establishing the relationship between the multiple numbers to compare and order them in a sequence or predefined pattern
2. Required math skills: The presumed skills to learn counting focus more upon language comprehension before any other math skills. Visual representation methods to understand the difference between the arithmetic value of the two numbers institutes the fundamental learning of the concept and its significance.
3. Engagement: The knowledge of “counting” is deemed as the most rudimentary math skill. SplashLearn’s comprehensive toddler learning games to learn counting are acclaimed for building higher engagement and a productive homeschool environment to learn the complex concepts fairly. Adhering to the classroom teaching curriculum to learn math step by step, the versatile games featuring brain teaser puzzles are instrumental in achieving math fluency.
Manipulatives used for teaching counting
The kindergarten classroom education incorporates several preschool math activities to learn and apply the concept of counting. These activities insist upon using learning tools such as math flash cards and instruments to hone the visual observation. The manipulatives used for teaching counting are as follows:
1. Objects: The daily engagement of kids with surrounding objects such as currency, birds or animals is a versatile method to start counting. The counting worksheets insist upon counting coins, beads, colors and other objects in a picture to familiarize with the concept. Also, with the practice of counting change tendered while buying a candy or toy incorporates the practical approach of learning.
Reference image: Count the number of fishes in the picture
2. Counters: The math skills pertaining to counting are nurtured with the interactive tools such as math counters. The color-coded discs in round shape are most suited for counting and arranging a specific number of discs to learn to count in preschool activities.
Reference image: Arranging counters in order to represent the numbers 1 to 5.
The different types of counters are useful in representing the multi-digit numbers for a strong visual coordination to grasp the concept. Also, the pre-marked counters with ones, ten and hundred are used to perform addition and subtraction in later grades.
3. Base-10 blocks:
Akin to counters, the base-10 blocks are also proven effective to nurture counting, number-sense, and associated math skills. The colorful blocks, each representing unit “ones” are clubbed together to represent “tens” and “hundreds”. A tower of 10 unit “ones” constitutes a “ten” and a grid of such 10 “tens” forms a “hundred”.
The base-10 blocks are highly productive to easily count and write numbers up-to 100 and more in an order using math symbols.
Reference image: The representation of numbers 1000, 100, 10 and 1’s using base-10 blocks
With the understanding of different manipulatives and basic approach to count objects, the “counting” skill is nurtured to an advanced level in each grade. The upcoming section illustrates the grade-wise progression of “counting” with everyday math games.
Progression of Counting with Grades
In kindergarten activities, the concept of counting is introduced with manipulatives like counters. Starting with counting numbers till 5, tools such as shapes chart and math facts flash cards are used for comprehension. Progressing further, kids learn to count, represent and arithmetically relate the numbers up-to 20 to the objects.
The 1st grade curriculum extends the counting knowledge by grouping objects in a set of 10. Contemplating the relative ease to count the 10’s, counting skills are nurtured to comprehend numbers up-to 100 and later. With theme-based games featuring brain teasers for kids, the comparison and ordering of numbers within 20 institutes the application of counting skills.
The 2nd grade math lessons focus upon using the counting skills on a line plot. Correlating the math operations “addition” and “subtraction” as forward and backward counting, math fluency in basic operations is achieved. Concurrent learnings through worksheets for 2nd grade are counting coins, currency exchange for bills and skip-counting by 2’s, 5’s and 10’s. The skills are instrumental in strengthening the abstract math reasoning.
3rd grade learning games reinforce the counting with language comprehension in terms of writing expanded and word forms. With the knowledge of number-sense and place-value system, kids learn to count numbers in the thousands. The expeditious counting skills along with the mental computation strategies are helpful in learning advanced math operations such as multiplication and division.
Based upon the counting pedagogy, next section highlights the methods adapted for learning “counting”.
Learning Methodologies for Counting
The kindergarten math games introduce the concept of counting using objects. In the later grades, counting skills using base-10 blocks and counters instigates the comprehension of numbers on a place-value chart. Following section reviews the techniques for counting numbers.
1. Counting objects & numbers
A. In different arrangements
The visual inception of counting begins by arranging and enumerating objects. The interpretation of objects within a group in different arrangements, but same arithmetic value /frequency nurtures visual observation skills.
For example, following image represents the number 3:
b. In the groups of 10
Another perspective of counting objects in groups of ten eventually relates to the counting of objects in different arrangements. Kids sequentially learn to comprehend, speak and gradually represent numbers in textual form by arranging and counting objects in the bundle of 10’s.
With each bundle, the counting grid up-to 20, 50 and 100 can be written to refer while adding or subtracting numbers within 100. The following figures represent counting grid for numbers up-to 20 and 100.
c. Line-plot
Comprehension of numbers using a line-plot is one of the most influential technique. The versatile method incorporates visual observation skills to solve numerous math brain teasers in number line worksheets.
Generally, the line plot starts from the number “0” and each number is marked next to it, representing a unit distance. The line-plots were conceptually devised by William Playfair, contemplating the need of effective visual representation of numbers and large datasets.
A basic line plot of numbers from 0 to 10 is represented as follows:
The numbers of a missing sequence can be determined using a line plot. The math tool is also used for teaching basic math operations in preschool grades owing to its commendable visual interpretation of numbers.
2 Counting games: Relationship with the basic math operations
The previous sections outline the genesis of counting skills for the preschool grades. Based on the perception of math symbols to frame and arrange numbers to count, “skip counting worksheets” are highly effective in learning basic math operations.
a. Skip counting
The “skip counting” technique refers to counting by numbers other than 1 (non-consecutive numbers). The method is precisely used for learning multiplication. Commonly used “skip counting” patterns are as follows:
i. Count by 2 & 5
In skip-counting by 2’s, each of the alternative numbers or every other number from a given number is recorded. For example, starting from 2, skip-counting by 2’s will yield the following sequence on a line-plot.
Akin to the skip-counting pattern by 2’s, count by “5’s” sequence is derived. The method is used for fluently writing multiples of 5 while learning multiplication techniques.
The sequences are written for numbers starting from 0 and 1 for skip-counting by 5 as follows:
ii. Count by 10 & 100
The textual representation of numbers becomes easy while comprehending numbers using a line-plot. To write the number sequence for the “count by 10’s”, a number grid is drafted as follows:
Similar to the count by 10’s skipping method, the count by “100’s” sequence is best suited for initiating comprehension of numbers up-to 1000 on a line-plot.
Reference image: Counting by 100’s and intermediate skipped numbers
b. Forward counting
The counting /skip counting can be performed in two ways. The first manner of counting in forward direction yields a number higher than the starting number on a line plot.
Using the concept, “addition” and “multiplication” operations are contemplated as follows:
i. Addition
To add two numbers (or addends), mark the first number in a number-grid or on a line plot. Using the arithmetic value of 2nd addend, count consecutively (starting from 1) from the first addend till the steps equivalent to the value of the 2nd addend are taken.
- For example, add 4 and 3.
- Start from “4” on a line plot
- Count 3 steps from “4” to obtain the sum “7”
ii. Multiplication as forward skip counting
The math operation “multiplication” is similar to addition with skip-counting, unlike consecutive number reading. The factors of a multiplication equation formulate the value of each skip and the number of skips.
For example, to multiply 2 and 4; skip-counting by 4 is applied starting from “0” for two jumps. The line-plot representation will be:
c. Backward counting
Similar to forward counting, the backward counting in the reverse direction is used for comprehending “subtraction” and “division” operations.
i. Subtraction
For the subtraction a number (minuend) from the other number (subtrahend), the line-plot is marked from the minuend till “0”. The counting starts in the reverse direction starting from minuend, and counts till the steps equivalent to subtrahend are taken.
- For example, subtract 3 from 8
- Start from “8” on a line plot
- Take 3 steps towards left starting from 8 to obtain the difference “5”
ii. Division as backward skip counting
The operation “division” as a case of skip-counting is comprehended as revere-counting with the value of each skip equal to the divisor. The number of skips encountered to reach the number “0” is the quotient.
- For example, divide 10 by 2
- Starting from “10” on a line plot, starts the skips, each of the distance equal to “2”
- The total number of skips (5) to reach “0” is the quotient
Application:
Considering the limitations and challenges of learning at an early age, the math exposure using visual learning tools and puzzle games for kids to build strong observation and reasoning skills is absolutely methodical & logical. Counting skills acquired in each grade during preschool is essential for learning the concept associated with basic math operations, geometry, measurement, and the number-sense. All math games channel the learning to fluently solve hard math problems with ease.
SplashLearn Counting Games Worksheet
The versatile math quiz games for SplashLearn are meticulously designed by the experts to assist training professionals and parents. The interactive math games online offered through the fun worksheets for kids, foster deep-rooted student learning with motivation to learn quick math facts for later grades. With a motto to prevent skill-loss during summer vacation, plan a routine math session with fun puzzle games to feed the math brain. Simultaneous monitoring of the skill development through math tests taken is assisted by the real-time progress dashboard to assess the milestones in each grade.
