Greater Than and Less Than or Equal To – 8 Teacher Tricks
September 16, 2024
Keeping track of mathematical symbols like greater than less than or equal to can be overwhelming, especially when you’re first learning these concepts. But with a few simple tricks, you can easily remember how to use them correctly and confidently. Whether you’re a student looking to sharpen your skills or a parent helping your child, these tips will make mastering these symbols a breeze.
First, what on earth do all these symbols mean?
The greater than less than and equal to symbols are essential for understanding relationships between numbers in math.
Here’s more information on each symbol:
Greater than (>)
The greater than symbol indicates that the number on the left is larger than the number on the right. For example, 7 > 3 means that 7 is greater than 3.
- Real-life example: Imagine comparing prices. If a jacket costs $80 and a shirt costs $50, you’d say $80 > $50. This means that the jacket is more expensive than the shirt.
Less than (<)
This symbol is used to show that the number on the left is smaller than the number on the right. For example, 4 < 8 means that 4 is less than 8.
- Real-life example: If the temperature outside is 20°F, you might say it’s 20 < 32, meaning the temperature is less than the freezing point.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
Equal to (=)
The equal to symbol signifies that two numbers or expressions are exactly the same in value. For example, 5 + 3 = 8 means that 5 plus 3 is equal to 8.
- Real-life example: When calculating the total cost of items in a shopping cart, if you have $5 and your purchase totals $5, you can say your amount equals the total: $5 = $5.
Less than or equal to (≤)
This symbol is used when the number on the left is either smaller than or exactly equal to the number on the right. For example, x ≤ 4 means that x is less than or equal to 4.
- Real-life example: A job listing might say, “applicants must be less than or equal to 18 years old to qualify,” which means anyone 18 years old or younger can apply.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
Greater than or equal to (≥)
The greater than or equal to symbol shows that the number on the left is either larger than or exactly equal to the number on the right. For example, x ≥ 5 means that x is greater than or equal to 5.
- Real-life example: A store’s promotion may state, “Spend $50 or more to qualify for free shipping,” which translates to spending ≥ $50.
How can memory tricks help you remember?
When learning concepts like greater than less than or equal to, memory tricks, often referred to as mnemonics, provide an effective way to retain and recall information more easily. They make information more engaging and relatable. This taps into the brain’s natural affinity for images and stories, easily encoding the information into long-term memory. As a result, learners can retrieve the knowledge more quickly when they encounter it again.
Another significant benefit of memory tricks is that they cater to different learning styles. Not everyone learns in the same way. Some people are more visual, while others may be more verbal, physical, or even social in their learning preferences. Mnemonics offer versatility because they can be adapted to suit various learners. Visual learners, for example, might benefit from picturing symbols as objects or creatures. Meanwhile, tactile learners may prefer physical gestures or hand motions that represent ideas.
Overall, memory tricks ensure that learners with different strengths and preferences can find a technique that works best for them. This not only enhances understanding but also boosts confidence, as students experience greater success in retaining and applying new knowledge.
Tricks for remembering greater than less than or equal to
Finally, it’s time to explore some ways to remember the symbols for greater than less than or equal to:
1) Eating trick
One of the most popular ways to remember the greater than symbol is by imagining it as an alligator’s mouth. The alligator is always hungry, and it wants to eat the bigger meal. So, in any equation, the alligator’s mouth opens towards the larger number. For instance, in the comparison 7 > 2, the alligator’s wide-open mouth faces the 7 because it’s greater. This trick is especially helpful for young learners, as it turns abstract symbols into a story they can relate to. But if an alligator doesn’t interest you, try imagining Pac-Man, a hippo, or any other creature of your choice.
2) Think of the word “Great”
Or if you’re a more verbal learner, this trick can be particularly useful. The greater than symbol looks a bit like the letter “G” when it’s turned sideways, with the wide open part resembling the curve of a “G.” Since “G” is the first letter of the word “great,” you can use this as a mnemonic device to remember that the open side of the symbol faces the greater, or “great,” number. The open side, or the “G,” always faces the larger value, just like in 8 > 5.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
3) The saying, “The small end points to the smaller number”
This saying is a simple but effective way to always get the symbol right. The narrow point of the greater than symbol is always aimed at the smaller number, while the open, wide end faces the greater number. So think of it like a funnel, where the smaller side is directed at the smaller value. For example, in 6 > 1, the narrow end points to the 1 because it’s smaller, and the wide open side faces the 6, indicating it’s greater.
4) Think of size
Alternatively, you can associate the greater than symbol with size. Imagine the symbol as two parts—one wide and one narrow. The open, wider side is big, and the small point is tiny. The wide side of the symbol always goes next to the bigger number, while the narrow point touches the smaller number. So in a comparison like 20 > 15, the wide part is next to 20. This shows it’s larger. Meanwhile, the pointed end faces the 15, showing it’s smaller.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
5) Use your hands
A tactile and visual way to remember the greater than less than symbols is by using your hands. Hold up your left hand with your index finger and thumb extended to form an L shape. This shape resembles the less than symbol (<), where the narrow end points to the smaller number, and the wide end faces the larger number. Conversely, if you use your right hand, it resembles the greater than symbol (>). Using your hands can help reinforce the concept by creating a physical representation of how the symbols compare numbers.
6) Make it personal
You could also assign personal values to the comparison. Think about something you love more, like chocolate > brussel sprouts or vacation > homework. Using things that have personal meaning can help solidify the concept that the wide side (>) faces the thing or number that’s greater to you. This method turns abstract symbols into relatable, real-world comparisons, making them easier to remember.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
7) The harmony of equal to
To remember the equal to symbol (=), think of it as two identical, perfectly aligned lines, which mirror each other to signify that the values on either side are the same. This visual cue reflects the concept of equality, where both sides are in perfect harmony.
8) Or the weight of equal to
Another way to remember equal to is to imagine balancing two objects on a scale. If the scale is level, it indicates that both sides are equal.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
What might affect your memory?
It’s frustrating when you can’t remember certain things, especially when you’re making an effort. But there are several factors that affect memory. So if you’re struggling to remember more than greater than less than or equal to, it might help to explore these factors and try some solutions. Just remember to always be patient with yourself as you strive for improvement.
Overload or anxiety
When you’re juggling too much information or dealing with anxiety, it can be harder for your brain to process and retain new information. Stress triggers your fight-or-flight response, which diverts energy away from memory-related functions. It’s important to develop coping strategies that can put you at ease.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
Lack of engagement
If the material feels boring or abstract, it can be tough to remember it. Memory thrives when information is meaningful or connected to something you care about. This is why memory tricks work so well—they make the information more interesting and relatable.
Not enough repetition
Sometimes, it’s just a matter of not having practiced enough. Memory often solidifies through repetition. So you might need to revisit concepts multiple times, preferably in different ways (visual, verbal, tactile), before they stick.
Greater Than and Less Than or Equal To – 8 Teacher Tricks
Sleep and nutrition
If you’re not getting enough sleep or proper nutrition, your memory can suffer. Sleep plays a huge role in consolidating memories and a lack of it can make recalling information difficult. Similarly, poor nutrition can affect brain function. Be sure to get adequate rest and make an effort to eat a balanced diet.
Distractions
Ever try to learn or remember something while multitasking or in a distracting environment? It can be much harder to focus and store the information properly. So check in with yourself and evaluate your environment. Allow yourself to focus on one task at a time and give yourself the space to concentrate.
Greater Than and Less Than or Equal To – Tricks for Remembering – Final thoughts
In conclusion, mastering mathematical symbols like greater than less than and less than or equal to doesn’t have to be difficult. With the help of memory tricks and visual cues, these concepts can become much easier to understand and remember. Whether you’re using fun metaphors like the alligator or applying hands-on methods, these techniques help solidify your understanding and make math feel less intimidating. By incorporating these tricks into your learning routine, you’ll soon find yourself using these symbols with confidence. Next you’ll be memorizing equations, log rules, and winning math competitions!
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