Greater Than and Less Than or Equal To 鈥 8 Teacher Tricks

September 16, 2024

greater than less than or equal to ways to tell them apart

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鈥檚 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鈥檇 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掳F, you might say it鈥檚 20 < 32, meaning the temperature is less than the .

Greater Than and Less Than or Equal To 鈥 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 (鈮)

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 鈮 4 means that x is less than or equal to 4.

  • Real-life example: A job listing might say, 鈥渁pplicants must be less than or equal to 18 years old to qualify,鈥 which means anyone 18 years old or younger can apply.

Greater Than and Less Than or Equal To 鈥 8 Teacher Tricks

Greater than or equal to (鈮)

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 鈮 5 means that x is greater than or equal to 5.

  • Real-life example: A store鈥檚 promotion may state, “Spend $50 or more to qualify for free shipping,” which translates to spending 鈮 $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 , 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鈥檚 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鈥檚 mouth. The is always hungry, and it wants to eat the bigger meal. So, in any equation, the alligator鈥檚 mouth opens towards the larger number. For instance, in the comparison 7 > 2, the alligator’s wide-open mouth faces the 7 because it鈥檚 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鈥檛 interest you, try imagining , a , or any other creature of your choice.

2) Think of the word 鈥淕reat”

Or if you鈥檙e a more verbal learner, this trick can be particularly useful. The greater than symbol looks a bit like the letter “G” when it鈥檚 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 鈥 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鈥檚 smaller, and the wide open side faces the 6, indicating it鈥檚 greater.

4) Think of size

Alternatively, you can associate the greater than symbol with size. Imagine the symbol as two parts鈥攐ne 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鈥檚 smaller.

Greater Than and Less Than or Equal To 鈥 8 Teacher Tricks

5) Use your hands

A 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 > or vacation > homework. Using things that have personal meaning can help solidify the concept that the wide side (>) faces the thing or number that鈥檚 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 鈥 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 .

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 鈥 8 Teacher Tricks

What might affect your memory?

It鈥檚 frustrating when you can鈥檛 remember certain things, especially when you鈥檙e 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鈥檚 important to develop coping strategies that can put you at ease.

Greater Than and Less Than or Equal To 鈥 8 Teacher Tricks

Lack of engagement

If the material feels boring or abstract, it can be to remember it. Memory thrives when information is meaningful or connected to something you care about. This is why memory tricks work so well鈥攖hey 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 . 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 鈥 8 Teacher Tricks

Sleep and nutrition

If you鈥檙e 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 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 鈥 Tricks for Remembering – Final thoughts

In conclusion, mastering mathematical symbols like greater than less than and less than or equal to doesn鈥檛 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鈥檙e 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鈥檒l soon find yourself using these symbols with confidence. Next you鈥檒l be memorizing equations, log rules, and winning math competitions!

Additional Resources