Search this page
Type here Using AI - Voice to Text Then tap SEARCH 2

Clear search box

>

See tape diagram and pie chart visual model to see the explanation why the answer is correct.

Using tape diagram student can validate the concept of greater than or larger than (> symbol use) and less than or smaller than ( < symbol use)



Guiding students to try using WolframAlpha software to train them to become familiar in using software to help them understand the lesson about fraction.

Student very important lesson to remember. If the website is not approved by your school to visit. DO NOT CLICK ANY LINK because something bad might happen to your school computer network. If something bad happens you and other students might not able to log-in to your tablet or laptop.

Simply click the link below to view additional lesson about tape diagram and fraction.

Write a tape diagram 0, 1/2, 2/2 using WolframAlpha software

Write a tape diagram 0, 1/3, 2/3, 3/3 using WolframAlpha software

Write a tape diagram 0, 1/4, 2/4, 3/4, 4/4 using WolframAlpha software

Write a tape diagram 0, 1/5, 2/5, 3/5, 4/5, 5/5 using WolframAlpha software

Write a tape diagram 0, 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 using WolframAlpha software

Write a tape diagram 0, 1/7, 2/7, 3/7, 4/7, 5/7, 6/7, 7/7 using WolframAlpha software

Write a tape diagram 0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 using WolframAlpha software

3rd grade students are expected to demonstrate proficiency representing fraction using tape diagram. They are also expected to demonstrate proficiency in comparing fraction using benchmark.

.

.

USING PIE CHART AS VISUAL MODEL

3rd grade students ? Do you know how to draw a benchmark fraction?

Step 1. To draw the 1/2 (halves ) benchmark fraction. First draw a straight line. On the left hand side of the line make a tick mark then number it 0 (zero) and again on the right hand side of the line make another tick mark then number it 1 (one).

Step 2. 1/2 (halves) benchmark fraction is actually telling you to divide the line you drawn into half. See the picture shown below and copy how to draw the halves (1/2) benchmark.

Drawing multiple line diagram. This example is showing you that in higher mathematics you will be using number line too.



Click the link below so you will learn how to use WolframAlpha software to draw a number line.

Write a number line diagram 0, 1/2, 2/2 using WolframAlpha software

Write a number line diagram 0, 1/3, 2/3, 3/3 using WolframAlpha software

Write a number line diagram 0, 1/4, 2/4, 3/4, 4/4 using WolframAlpha software

Write a number line diagram 0, 1/5, 2/5, 3/5, 4/5, 5/5 using WolframAlpha software

Write a number line diagram 0, 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 using WolframAlpha software

Write a number line diagram 0, 1/7, 2/7, 3/7, 4/7, 5/7, 6/7, 7/7 using WolframAlpha software

Write a number line diagram 0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 using WolframAlpha software

---

3rd grade students. It's time to test your understanding on how to draw a benchmark fraction. Are your ready?

Now draw the third (1/3) benchmark fraction. You can copy the drawing above if you need help. What do you notice about the total length of halves (1/2) benchmark fraction and the thirds (1/3) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Now draw the fourths (1/4) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3) and the fourths (1/4) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Now draw the fifths (1/5) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), and the fifths (1/5) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Now draw the sixths (1/6) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), and the sixths (1/6)? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Now draw the eighths (1/8) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), the sixths (1/6) and the eighths (1/8) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Now draw the tenths (1/10) benchmark fraction. What do you notice about the total length of the halves (1/2) benchmark fraction, the thirds (1/3), the fourths (1/4), the fifths (1/5), the sixths (1/6), the eighths (1/8), and the tenths (1/10) benchmark fraction? You are right. They have the same total length, which is 1. Also remember the mathematical rule that says if the numerator and the denominator are both the same you can also write it as 1.

---

Draw the 1/16 (sixteenths) benchmark fraction.

---

WHY DO YOU NEED TO LEARN THIS BENCHMARK FRACTION? Because there are lots of tools or measuring instrument that you need to read and compare the result of measurement when you become an engineer (electrical engineer, civil engineer, mechanical engineer), scientist, electrician, carpenter, and so on.

This instrument is called a micrometer, used to measure the diameter of the small black ball shown below. Did you see the benchmark or marking on the instrument?

Source:
www.technologystudent.com
/equip1/microm1.htm

---

This instrument is called Tape Measure. Did you see the benchmark or marking on the instrument?

NOW YOU KNOW THE REASON WHY YOUR TEACHER IS TEACHING YOU THIS IMPORTANT CONCEPT OF READING AND COMPARING BENCHMARK FRACTION.

Below you see examples of fraction. Fraction can also be written in decimal. You will learn to understand and how to write in decimal in higher mathematics.

.

.

How can IN-V-BAT-AI be used in classrooms ?

IN-V-BAT-AI is a valuable classroom tool that enhances both teaching and learning experiences. Here are some ways it can be utilized:

⋆ Personalized Learning : By storing and retrieving knowledge in the cloud, students can access tailored resources and revisit concepts they struggle with, ensuring a more individualized learning journey.

⋆ Memory Support : The tool helps students recall information even when stress or distractions hinder their memory, making it easier to retain and apply knowledge during homework assignments or projects.

⋆ Bridging Learning Gaps : It addresses learning loss by providing consistent access to educational materials, ensuring that students who miss lessons can catch up effectively.

⋆ Teacher Assistance : Educators can use the tool to provide targeted interventions to support learning.

⋆ Stress Reduction : By alleviating the pressure of memorization, students can focus on understanding and applying concepts, fostering a deeper engagement with the material.

🧠 IN-V-BAT-AI vs. Traditional EdTech: Why "Never Forget" Changes Everything

📚 While most EdTech platforms focus on delivering content or automating classrooms, IN-V-BAT-AI solves a deeper problem: forgetting.

✨Unlike adaptive learning systems that personalize what you learn, IN-V-BAT-AI personalizes what you remember. With over 504 pieces of instantly retrievable knowledge, it's your cloud-based memory assistant—built for exam prep, lifelong learning, and stress-free recall.

• ✅ One-click access to formulas, calculators, and concepts
• 📧 No coding, no hosting—just email what you want to remember
• 📱 Live within 24 hours, optimized for mobile and voice search
• 💸 $30/year for 504 personalized knowledge sites (just 6¢ each)

"🧠 Forget less. Learn more. Remember on demand."
That's the IN-V-BAT-AI promise.

Personal Augmented Intelligence (AI) Explanation

🧠 Augmented Intelligence vs Artificial Intelligence

Understanding the difference between collaboration and automation

🔍 Messaging Contrast

Augmented Intelligence is like a co-pilot: it amplifies your strengths, helps you recall, analyze, and decide — but it never flies solo.

Artificial Intelligence is more like an autopilot: designed to take over the controls entirely, often without asking.

💡 Why It Matters for IN-V-BAT-AI

IN-V-BAT-AI is a textbook example of Augmented Intelligence. It empowers learners with one-click recall, traceable results, and emotionally resonant memory tools. Our “Never Forget” promise isn't about replacing human memory — it's about enhancing it.

Note: This is not real data — it is synthetic data generated using Co-Pilot to compare and contrast IN-V-BAT-AI with leading EdTech platforms.

.

.

.