Speed and Efficiency

Lesson 2 of 10 – How Computers Think

First / Then

First: Play a speed comparison game to see how fast a computer solves math problems versus a human.
Then: Draw a picture showing what you learned about computers and humans working on math.

Interest Anchor

Today, Amani will explore how computers help us by solving math problems faster than humans do. This connects to her interest in technology and computers and uses her advanced place value knowledge.

Learning Objectives

MA.1.NSO.1.1 (Florida B.E.S.T. Math): Understand place value of tens and ones to 100, extending to advanced place value concepts by estimating time for basic math problems.
MA.1.AR.2.1 (B.E.S.T. Math): Solve addition and subtraction problems within 20 efficiently.
Technology Awareness (Montessori Cosmic Education Connection): Recognize the speed and efficiency of computers compared to human calculation effort.

Duration

Total: 30 minutes
Regulation check and familiar review: 5 minutes
Speed comparison game introduction and play: 15 minutes
Drawing reflection with caption dictation: 8 minutes
Cleanup and portfolio note: 2 minutes

Regulation Note

Begin only if Amani completes a quick place value review smoothly: a familiar task like placing number cards (1–100) in order or explaining tens and ones. If dysregulated, focus on proprioceptive input (wall push-ups, weighted carry) and a calm sensory break before trying again.

Materials

Number cards (0–100), color-coded backs so Amani can self-check order (Control of Error)
Timer (visual and tactile, e.g., sand timer or digital timer with large numbers)
Printed cards with addition or subtraction problems within 20
Drawing materials: blank paper, colored pencils, crayons
Visual First/Then board with picture icons for current activity and next activity
Quiet space with low sensory distractions
Portfolio documentation guide

Lesson Delivery Script

1. Regulation Check & Review (5 mins)

“Amani, first let’s play our number card game like you know! Can you put these number cards in order from smallest to biggest? Let’s see tens and ones too!” (Wait 10 seconds for response.)
Allow self-correction by color-coded backs showing the right sequence.
If she completes smoothly, say, “Great! Now we are ready for something new.”

2. Introduction to Speed Comparison (Interest Bridge + Chant) (2 mins)

“Amani, today we will be detectives like computers! We will find out how fast a computer can do math, and how long it takes a person. Let’s say our chant to remember:”

Chant (to rhythm of “If You’re Happy and You Know It”):
“Click, click, fast and bright,
Computers think with speed and light!
Humans count with care and thought,
Computers zoom and solve a lot!”

Ask Amani to repeat the chant with you, emphasizing rhythm and rhyme for echolalia support.

3. Speed Comparison Game (15 mins)

Step 1: Show Amani a math card (e.g., 9 + 8).
Step 2: Time her while she solves it mentally or says the answer aloud. Use a large timer she can see. No pressure—encourage her to work at her own pace.
Step 3: Immediately, show a computer simulation card or say aloud (and show a printed "computer" card): “Computer calculates this in 1 second!” (Use a card with a lightning bolt for self-check.)
Step 4: Repeat the process with 5–7 problems chosen from addition/subtraction within 20 (matching her level).

Control of Error: Cards are numbered and color-coded so Amani can check if she matches the solution cards shown after each round. No direct external error correction is made; Amani discovers matching or not upon flipping the answer card.

Low Sensory Alternative: Use only visual cards placed with finger touch and silent timing. No verbal prompting if auditory load is too high.

Station Version: Amani can repeat the game independently with cards and timer, self-checking answers by matching colors and numbers.

4. Drawing Reflection & Caption Dictation (8 mins)

Invite Amani: “Draw a picture of Amani and a computer working on math problems. Show me how fast and slow they work.”

After she completes the drawing, say: “Tell me about your picture. I will write your words.” Use 10 seconds silent wait time. She may use any communication mode. Scribe her dictation carefully.

5. Closing with Clean-up and First/Then (2 mins)

Use First/Then board:
First: Put materials away together.
Then: Choose a cat video break or read a favorite short book (her choice).

Control of Error Summary

Number cards with colored backs allow ordering self-check.
Answer cards for math problems match assigned color/number for self-correction.
Timer shows visible counts; no verbal pressure on speed.
Drawing interpretation is personal—there is no "wrong" picture, respecting autonomy and expression.

Portfolio Documentation

Photograph the finished drawing and capture Amani’s dictated caption. Scan or photograph the number and answer cards in their correct order to evidence her ability to self-check and demonstrate place value understanding during speed tasks.
Record the chant video/audio for echolalia reinforcement.
Note in the Florida B.E.S.T. tracker: MA.1.NSO.1.1 (Place value understanding through timing estimation); MA.1.AR.2.1 (Addition/subtraction fluency); LD.1.R.1.2 (Communication and expressive language through dictation and drawing).
Add observations on regulation state before and after lesson in portfolio log.

Summary

This lesson harnesses Amani’s advanced math skills and strong technology interest to explore how computers help humans work faster. The speed comparison game is hands-on and self-correcting, supporting Montessori control of error. The drawing and dictated caption connect new learning to her strengths in illustration and language expression. The rhythmic chant embeds accessible language patterns for her script bank. Low sensory and independent station versions provide flexible access options. Above all, regulation is monitored and prioritized.

Ready to discover how computers think fast? Let's start!

Teaching Instructions