Grade 2
  1. Number Sense and Operations  1.1. Counting and Number Sequences  1.1.1. Counting up to 100  1.1.2. Counting by 2s, 5s, and 10s  1.1.3. Counting Backward from 20  1.1.4. Odd and even numbers in counting sequences  1.2. Place Value  1.2.1. Understanding ones and tens  1.2.2. Comparing Two-Digit Numbers  1.2.3. Identifying the Value of Each Digit in a Number  1.2.4. Building numbers using tens and ones  1.3. Addition and Subtraction  1.3.1. Basic addition up to 20  1.3.2. Basic subtraction up to 20  1.3.3. Addition with Regrouping  1.3.4. Subtraction with Borrowing  1.3.5. Solving word problems involving addition and subtraction  1.3.6. Addition and Subtraction with Multiples of 10  1.4. Odd and Even Numbers  1.4.1. Identifying Odd and Even Numbers  1.4.2. Understanding patterns in odd and even numbers  1.4.3. Simple operations with odd and even numbers
  2. Fractions and Decimals  2.1. Introduction to Fractions  2.1.1. Understanding halves and quarters  2.1.2. Representing fractions visually  2.1.3. Simple Fraction Comparisons  2.1.4. Writing Simple Fractions  2.1.5. Fractions as part of a whole  2.2. Fraction Equivalency  2.2.1. Understanding Equal Parts  2.2.2. Identifying Equivalent Fractions
  3. Measurement and Data  3.1. Length Measurement  3.1.1. Measuring objects using rulers  3.1.2. Comparing lengths  3.1.3. Estimating lengths  3.1.4. Understanding units of measurement (centimeters and inches)  3.1.5. Relating Length Measurements to Real-World Objects  3.2. Weight and Mass Measurement  3.2.1. Comparing Weights of Objects  3.2.2. Estimating weight in grams and kilograms  3.2.3. Using balance scales for comparison  3.3. Volume and Capacity Measurement  3.3.1. Understanding capacity with cups and liters  3.3.2. Comparing capacities of containers  3.3.3. Introduction to Milliliters  3.4. Time  3.4.1. Reading analog and digital clocks  3.4.2. Understanding hours and minutes  3.4.3. Calculating elapsed time in hours  3.4.4. Days of the week and months of the year  3.4.5. Understanding AM and PM  3.5. Money  3.5.1. Recognizing coins and bills  3.5.2. Counting money up to $1  3.5.3. Simple Addition and Subtraction with Money  3.5.4. Making Change for a Dollar
  4. Geometry and Spatial Reasoning  4.1. Shapes and Their Attributes  4.1.1. Identifying basic shapes (circle, triangle, square, rectangle)  4.1.2. Understanding sides and corners  4.1.3. Distinguishing between 2D and 3D shapes  4.1.4. Recognizing 3D Shapes (Cube, Sphere, Cone, Cylinder)  4.1.5. Composing and Decomposing Shapes  4.2. Symmetry  4.2.1. Understanding Lines of Symmetry  4.2.2. Drawing Symmetrical Shapes  4.2.3. Identifying Symmetrical Objects in the Environment  4.3. Patterns and Spatial Awareness  4.3.1. Recognizing and Creating Patterns  4.3.2. Extending Patterns  4.3.3. Understanding positions (left, right, above, below)  4.3.4. Using a grid to locate objects
  5. Data Handling and Probability  5.1. Collecting and Organizing Data  5.1.1. Using tally marks  5.1.2. Reading Bar Graphs  5.1.3. Simple Pictographs  5.1.4. Creating Bar Graphs from Given Data  5.2. Interpreting Data  5.2.1. Answering questions based on data  5.2.3. Identifying Most and Least in Data Sets  5.3. Introduction to Probability  5.3.1. Understanding likely and unlikely events

Grade 2 → Number Sense and Operations → Place Value ↓


Building numbers using tens and ones


Understanding numbers is an important skill in math. In Grade 2, we focus on how numbers are made up. We often describe numbers in terms of their place value. This means breaking numbers into tens and ones. Let's find out how this works!

Basics of place value

Each digit in a number has a place, and each place has a value. When we talk about tens and ones, we are considering the value of each digit in a two-digit number.

For example, the number 47 has 4 in the "tens" place and 7 in the "ones" place. This means that this number is made up of:

4 tens + 7 units = 47
4 Tens 7 people

Analyzing numbers with visuals

The visual representation of tens and ones can help us understand the concept better. Let's visualize 32 using tens and ones:

3 tens + 2 units = 32
1 1 1 1 1

From this view we can see 3 groups of ten and 2 separate ones. This way we make the number 32.

Searching for more numbers

Let us consider another number, say 85:

8 tens + 5 units = 85
1 1 1 1 1 1 1 1 1 1 1 1 1

In the number 85, we have 8 groups of ten and 5 ones. This is what gives 85 its value.

Practice with different numbers

Let's take a look at some more numbers and break them down into tens and ones. We'll use well-rounded numbers and some less common numbers to better understand this concept:

Example 1: Number 16

1 ten + 6 units = 16
1 1 1 1 1 1 1

Example 2: Number 29

2 tens + 9 units = 29
1 1 1 1 1 1 1 1 1 1 1

For more practice, let's take a look at 54.

5 tens + 4 units = 54
1 1 1 1 1 1 1 1 1

Challenges and puzzles

Understanding tens and ones can be fun with challenges and puzzles. Let's solve some basic problems to hone your skills. Try them out yourself!

  • Write the number 53 using tens and ones. How many tens and ones are there in it?
  • If you have 6 tens and 8 ones, what number do you have?
  • Which is greater: 4 tens and 2 ones or 3 tens and 9 ones?
  • Make a new number by rearranging 7 tens and 5 ones. Is it greater or smaller than 75?

Conclusion

Forming numbers using tens and ones is an essential skill when learning math. It helps to understand the structure and composition of numbers and lays the foundation for more advanced mathematical concepts. With practice, visualization, and exploration, you can master the idea of place value with tens and ones!


Grade 2 → 1.2.4


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Identifying the Value of Each Digit in a Number
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Addition and Subtraction

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Building numbers using tens and ones

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