Mastering Numbers 11-20: A Step-by-Step Guide for Parents and Educators
Teaching children to recognize numbers 1 to 10 is often a foundational step in early math education. However, the numbers 11 to 20 can present a unique challenge. Unlike the initial set, these numbers involve understanding place value, albeit in a basic form, and recognizing patterns that aren’t always immediately obvious to young learners. This comprehensive guide will provide parents and educators with detailed steps, activities, and strategies to effectively teach number recognition from 11 to 20.
Why Are Numbers 11-20 More Challenging?
Before diving into the teaching methods, it’s crucial to understand why these numbers pose a hurdle for children:
* **Place Value Introduction:** Numbers 11 to 20 mark a child’s first introduction to the concept of place value. They need to understand that ’11’ is not just ‘one and one,’ but ‘one ten and one one.’ This abstraction can be difficult to grasp initially.
* **Irregular Naming Conventions:** Unlike numbers like ‘twenty’ or ‘thirty,’ the naming conventions for 11, 12, 13, 15 are irregular. They don’t directly relate to the individual digits they comprise, which can be confusing.
* **Pattern Recognition:** While a pattern emerges with ‘teen’ numbers (fourteen, sixteen, seventeen, etc.), it’s not immediately clear, and the exceptions of 11, 12, 13, and 15 break the pattern. Children need help identifying and understanding this subtle pattern.
* **Visual Discrimination:** Visually, numbers like 16 and 19 can look quite similar to a young child. The subtle difference in digit placement can easily be overlooked, leading to errors.
Prerequisites: What Skills Should Children Have Before Learning 11-20?
Ensure your child has a solid foundation in the following areas before introducing numbers 11-20:
* **Number Recognition 1-10:** They should be able to accurately identify and name numbers 1 through 10.
* **Counting to 10:** They should be able to count a set of objects accurately up to 10, demonstrating one-to-one correspondence.
* **Fine Motor Skills:** Basic fine motor skills are needed for writing numbers and manipulating learning materials.
* **Basic Vocabulary:** Understanding terms like ‘more,’ ‘less,’ ‘group,’ and ‘set’ will be beneficial.
Step-by-Step Guide to Teaching Numbers 11-20
This guide breaks down the teaching process into manageable steps, incorporating various activities and strategies:
**Step 1: Review Numbers 1-10 and Introduce the Concept of ‘Ten’**
* **Activity 1: Counting Review:**
* Gather a collection of small objects like beads, buttons, or small toys.
* Ask the child to count out sets of objects, starting with 1 and gradually increasing to 10.
* Emphasize the one-to-one correspondence, pointing to each object as they count.
* Use visual aids like number lines or counting charts to reinforce the number sequence.
* **Activity 2: Grouping and Sorting:**
* Provide a larger collection of objects (more than 10).
* Ask the child to group the objects into sets of 10.
* Explain that ‘ten’ is a group and a building block for larger numbers.
* Use phrases like, “We have one group of ten here.”
* **Activity 3: The Number Ten Frame:**
* Introduce the number ten frame (a 2×5 grid).
* Have the child fill the ten frame with objects, emphasizing that a full ten frame represents the number 10.
* This provides a visual representation of ‘ten’ as a complete unit.
**Step 2: Introducing Numbers 11-15: Focus on ‘Ten and Some More’**
* **Activity 1: Ten Frames and Counters:**
* Start with a filled ten frame (representing 10).
* Introduce additional counters next to the ten frame.
* For example, for 11, have one filled ten frame and one additional counter.
* Explain: “We have ten and one more. Ten and one is eleven.”
* Repeat this process for numbers 12, 13, 14, and 15, adding the corresponding number of counters next to the ten frame.
* Verbalize the process clearly each time: “Ten and two is twelve,” “Ten and three is thirteen,” etc.
* **Activity 2: Number Cards and Objects:**
* Create number cards for 11, 12, 13, 14, and 15.
* Have the child match the number card to the corresponding number of objects (arranged with one group of ten and additional single objects).
* For example, place the ’13’ card next to a ten frame filled with counters and three additional counters.
* This reinforces the visual connection between the numeral and the quantity it represents.
* **Activity 3: Building with Blocks:**
* Use building blocks to represent numbers 11-15.
* Have the child create a tower of 10 blocks and then add individual blocks to represent the ‘ones’ place.
* For example, for 14, they would build a tower of 10 blocks and add 4 individual blocks.
* This provides a tactile and visual representation of the number composition.
**Step 3: Emphasizing the ‘Teen’ Pattern and Addressing Irregularities**
* **Activity 1: Sounding Out the Numbers:**
* Focus on the ‘teen’ sound at the end of fourteen, sixteen, seventeen, eighteen, and nineteen.
* Explain that ‘teen’ means ‘ten’ in this context.
* Practice saying the numbers slowly and deliberately, emphasizing the ‘teen’ sound.
* Use visual cues like highlighting the ‘teen’ part of the word on flashcards.
* **Activity 2: Addressing 11, 12, 13, and 15:**
* Explicitly address the irregular naming of 11, 12, 13, and 15.
* Explain that these numbers have special names that don’t follow the ‘ten and some more’ pattern as directly.
* Use memory aids and repetition to help the child memorize these numbers.
* For example, create a rhyme or song to help them remember these numbers.
* **Activity 3: Comparing and Contrasting:**
* Compare and contrast the regular ‘teen’ numbers with the irregular ones.
* Create a chart that lists all the numbers from 11 to 19, highlighting the ‘teen’ numbers in one color and the irregular numbers in another color.
* Discuss the differences and similarities between the numbers.
**Step 4: Introducing Numbers 16-20: Reinforcing the ‘Teen’ Pattern and Introducing ‘Twenty’**
* **Activity 1: Continue with Ten Frames:**
* Extend the ten frame activity to numbers 16-19.
* Have the child fill one ten frame completely and then add the corresponding number of counters to the second ten frame.
* For example, for 17, they would have one filled ten frame and seven counters in the second ten frame.
* Verbalize the process: “Ten and seven is seventeen.”
* **Activity 2: Number Line and Sequencing:**
* Use a number line that extends from 0 to 20.
* Have the child point to each number and say its name.
* Practice sequencing the numbers, both forwards and backwards.
* Play games like “What comes next?” or “What comes before?” to reinforce number sequence.
* **Activity 3: Introducing ‘Twenty’:**
* Introduce the number ‘twenty’ as ‘two tens’.
* Use two filled ten frames to represent twenty.
* Explain that twenty is the next multiple of ten after ten.
* Connect the concept of ‘twenty’ to the word ‘two,’ reinforcing the idea of two tens.
**Step 5: Multisensory Activities to Reinforce Learning**
* **Activity 1: Sensory Bin Counting:**
* Fill a sensory bin with materials like rice, sand, or beans.
* Hide number cards (11-20) in the bin.
* Have the child find a number card, identify the number, and then count out that many objects from the bin.
* This combines tactile and visual learning.
* **Activity 2: Playdough Numbers:**
* Provide playdough and number cards (11-20).
* Have the child create the numbers using playdough.
* This reinforces number formation and provides a tactile experience.
* **Activity 3: Dot Marker Counting:**
* Create worksheets with numbers 11-20 written on them.
* Have the child use dot markers to fill in the numbers.
* Alternatively, draw circles representing the numbers (e.g., 15 circles) and have the child count and mark each circle with a dot marker.
**Step 6: Games and Activities for Continued Practice**
* **Activity 1: Number Bingo:**
* Create bingo cards with numbers 11-20.
* Call out numbers randomly, and have the child mark them on their bingo card.
* The first child to get bingo wins.
* **Activity 2: Go Fish with Number Cards:**
* Create two sets of number cards (11-20).
* Play Go Fish following the traditional rules, but instead of matching pairs of the same number, focus on recognizing and naming the numbers.
* **Activity 3: Number Matching Puzzles:**
* Create puzzles where the child has to match the numeral (e.g., 16) to a corresponding image representing that quantity (e.g., a picture of 16 apples).
* **Activity 4: Online Games and Apps:**
* Utilize educational online games and apps that focus on number recognition and counting from 11-20.
* Many free and paid resources are available that provide engaging and interactive practice.
**Step 7: Real-World Connections**
* **Activity 1: Counting Everyday Objects:**
* Incorporate counting into daily routines.
* Count snacks, toys, or stairs together.
* For example, “Let’s count how many crackers you have: 1, 2, 3…12! You have twelve crackers.”
* **Activity 2: Using Numbers in Play:**
* Use numbers in pretend play scenarios.
* For example, when playing store, price items between 11 and 20.
* “This toy car costs 15 dollars.”
* **Activity 3: Cooking and Baking:**
* Involve the child in cooking and baking activities where they can measure ingredients and follow recipes that involve numbers 11-20.
* “We need to add 12 chocolate chips to the cookies.”
**Step 8: Assessment and Review**
* **Observation:** Observe the child during activities and note any areas where they struggle.
* **One-on-One Assessment:**
* Ask the child to identify numbers on flashcards or in a number line.
* Ask them to count out a specific number of objects (e.g., “Can you give me 17 blocks?”).
* Ask them to verbally state the number that comes before or after a given number.
* **Worksheets:** Use simple worksheets with number recognition and counting exercises.
* **Regular Review:** Regularly review numbers 11-20 to ensure continued mastery.
Tips for Success
* **Patience:** Be patient and understanding. Learning takes time, and children learn at different paces.
* **Positive Reinforcement:** Offer praise and encouragement to motivate the child.
* **Make it Fun:** Keep the learning environment engaging and enjoyable. Use games, songs, and activities to make learning fun.
* **Consistency:** Practice regularly to reinforce learning.
* **Individualize:** Adapt the activities to suit the child’s learning style and interests.
* **Break it Down:** If the child is struggling, break the concept down into smaller, more manageable steps.
* **Use Visuals:** Visual aids like number lines, ten frames, and counters can be very helpful for visual learners.
Common Mistakes to Avoid
* **Moving Too Quickly:** Don’t rush through the material. Ensure the child has a solid understanding of each concept before moving on.
* **Focusing Solely on Memorization:** Avoid simply rote memorization. Focus on understanding the underlying concepts of place value and number composition.
* **Neglecting the Irregularities:** Don’t ignore the irregular naming conventions of 11, 12, 13, and 15. Explicitly address these numbers and provide extra practice.
* **Not Connecting to Real-World Applications:** Make sure to connect numbers to real-world situations to make learning more meaningful and relevant.
Conclusion
Teaching numbers 11-20 requires a systematic and engaging approach. By breaking down the learning process into manageable steps, using multisensory activities, and providing ample opportunities for practice, parents and educators can help children master these essential numbers and build a strong foundation for future math success. Remember to be patient, make it fun, and adapt the activities to suit the child’s individual needs. With the right strategies and resources, every child can succeed in mastering numbers 11-20.