Compare and Order Integers
I can compare and order integers using a number line.
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🎯 Content Objective / Objetivo de contenido
I can compare and order integers using a number line.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
Why is -3 less than 2, even though 3 looks like a bigger number than 2?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Ranking Treasure Depths
Captain Vega's crew found treasures at different depths underwater! The deeper the treasure, the more negative the elevation. A gold coin is at -2 meters, a silver crown is at -7 meters, and a ruby ring is at -5 meters. The crew needs to rank them from the shallowest (closest to the surface) to the deepest.
Concept Launch
💡 How do you compare and order integers?
To compare integers means to see which one is greater or less. On a number line, numbers get bigger as you go right and smaller as you go left.
The number farther to the left is always less; the number farther to the right is always greater.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Number line Recta numérica |
A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right. Una recta donde los números se colocan en orden; los números son menores a la izquierda y mayores a la derecha. |
← -3 -2 -1 0 1 2 3 → | |
| Compare Comparar |
To see if a number is bigger, smaller, or equal to another. Ver si un número es mayor, menor o igual que otro. |
-3 < 2 because -3 is farther left on the number line than 2 | |
| Order Ordenar |
To put numbers in order, smallest to biggest or biggest to smallest. Poner números en orden, de menor a mayor o de mayor a menor. |
Least to greatest: -5, -2, 0, 3, 7 (left to right on the number line) | |
| Greater than Mayor que |
Farther right on a number line. The > sign. Más a la derecha en la recta numérica. El signo >. |
4 > -1 because 4 is to the right of -1 on the number line | |
| Less than Menor que |
Farther left on a number line. The < sign. Más a la izquierda en la recta numérica. El signo <. |
-6 < -2 because -6 is farther left — it is farther from zero | |
| Negative integer Entero negativo |
A whole number smaller than zero, like -5. Un número entero menor que cero, como -5. |
-4 is 4 units to the LEFT of zero on the number line |
Which Word Fits?
To plot integers in order, place them on a ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
Why is -3 less than 2, even though 3 looks like a bigger number than 2?
👂 Listen For
Student explains that -3 is farther left on the number line than 2, and numbers decrease moving left.
Extend: Push students to explain why every negative number is less than every positive number.
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Plot each treasure location (depths below sea level and heights above it) on the number line. Then order them from least to greatest.
✍️ Explore Discourse
How does plotting on the number line help you compare and order integers?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
Order these temperatures from coldest to warmest: -8, 3, -1, 5. How does the number line help you put them in order?
👂 Listen For
Student orders -8, -1, 3, 5 and uses left-to-right position on the number line to justify the order.
Extend: Ask students to write a comparison statement using < or > for two of the temperatures and read it aloud.
Practice Check A
Three cities have temperatures of -12°F, -5°F, and 3°F. Which city is warmest?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
Which statement is TRUE?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Coordinate Treasure Hunt
Plot points to find the treasure! Target: (4, 3)
✍️ Justify Your Thinking
Sort each label into the correct box.
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "The number farther to the left is always less; the number farther to the right is always greater." — and it works because ___.
Because Number line means ___, but a tricky part is ___, so I have to ___.
A common mistake with Number line is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Compare to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
The number farther to the left is always less; the number farther to the right is always greater. because ___
The number farther to the left is always less; the number farther to the right is always greater. but ___
The number farther to the left is always less; the number farther to the right is always greater. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Plot each treasure location (depths below sea level and heights above it) on the number line. Then order them from least to greatest.
| Column A | Column B |
|---|---|
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
Which statement is TRUE?
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
A weather station recorded these temperatures during a winter week: Monday -4°F, Tuesday 2°F, Wednesday -7°F, Thursday -1°F, Friday 5°F. The station needs to report the coldest and warmest days.
✍️ Connection Reasoning
How do you use integer comparison to find the coldest and warmest days?
The coldest day was ___ at ___°F because ___. The warmest day was ___ at ___°F. I ordered them from coldest to warmest by ___.
Turn & Talk — Connect
How does knowing a number's position on the number line tell you whether to use the < or > symbol?
👂 Listen For
Student connects left position to 'less than' and right position to 'greater than', and uses the symbol correctly.
Extend: Push students to generalize a rule for comparing two negative numbers, like -7 and -2.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
Which list shows the integers in order from LEAST to GREATEST?
Bonus Exit Check
Which integer is the LEAST: -3, 5, -8, 2, 0?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• Student explains that -3 is farther left on the number line than 2, and numbers decrease moving left.
• Student orders -8, -1, 3, 5 and uses left-to-right position on the number line to justify the order.
• Student connects left position to 'less than' and right position to 'greater than', and uses the symbol correctly.
• Student explains -10 is less than -2 because it is farther left, correcting the 'bigger digits' misconception.
Common mistake: A common mistake in Compare and Order Integers is skipping the key idea: "The number farther to the left is always less; the number farther to the right is always greater." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: 3°F — 3°F is the greatest because it is farthest to the right on the number line. The order from coldest to warmest is -12, -5, 3.
✓ Practice 2: -5 < -2 — -5 is farther to the left on the number line than -2, so -5 < -2 is true.
✓ Practice 3: -8 — -8 is farthest to the left on the number line, making it the least (smallest) integer.
✓ Practice 4: 8 — Absolute value is distance from 0, always positive. |−8| = 8.
✓ Exit ticket: -5, -2, 0, 3, 7 — -5 is the smallest (farthest left on the number line), then -2, then 0, then 3, then 7. The correct order from least to greatest is -5, -2, 0, 3, 7.