A targeted multisensory math intervention utilizing kinesthetic decimal tracks, color-coded base-ten powers, and guided manipulative routines to master decimal shifts when multiplying and dividing by powers of ten.
Tactile Cue: Slide your left hand to the left twice across your desk. \(317.4 \div 10^2 = 3.174\)
4 The "Empty Bowl" Secret (Placeholder Zeros)
Watch for Empty Hops!
Multiplication Case \(6.2 \times 10^3\)
6 . 2 [ 0 ] [ 0 ]
Hop 1 jumps past 2.
Hops 2 & 3 jump into empty air!
Fill empty hop bowls with zero placeholder eggs: \(6.2 \times 10^3 = 6,200\)
Division Case \(0.5 \div 10^2\)
0 . [ 0 ] [ 0 ] 5
Hops 1 & 2 jump left past empty spaces!
Fill each empty left hop with a zero: \(0.5 \div 10^2 = 0.005\)
Common Trap: Do not just count zeros and glue them to the end of decimals! Jump the decimal point first, then fill empty bowls.
Shift Showdown: Rapid Group Challenge
Call & Show!
Round 1
\(7.4 \times 10^2\)
Hops: 2 Right \(\rightarrow\)
Answer: 740
Round 2
\(83.1 \div 10^1\)
Hops: 1 Left \(\leftarrow\)
Answer: 8.31
Round 3
\(0.9 \div 10^2\)
Hops: 2 Left \(\leftarrow\)
Answer: 0.009
Ready for your Shift Showdown boards and worksheets! Say the direction, count the hops, slide to check!
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4 Part 4: Missing Power Detectives
Fill in the missing symbol (\(\times\) or \(\div\)) AND the exponent power (\(10^1, 10^2,\) or \(10^3\)).
8. 2.64 [ ] = 264
9. 450 [ ] = 4.5
10. 0.07 [ ] = 70
11. 19.3 [ ] = 0.193
5 Part 5: Real-World Metric Power Shifts
12. Science Track Lab: A science beaker contains \(1.45\) liters of liquid. To convert liters to milliliters, multiply by \(10^3\) (\(1.45 \times 10^3\)). How many milliliters are in the beaker?
Show your hop count or work:
Answer:
mL
13. Construction Metric Shift: A timber beam measures \(420\) centimeters long. To convert centimeters to meters, divide by \(10^2\) (\(420 \div 10^2\)). How many meters long is the beam?
Show your hop count or work:
Answer:
meters
Self-Reflection: When dividing by \(10^2\), which way does the decimal hop, and why?
Confidence: 😄 Got it! 🤔 Needs review
Tactile Tens Intervention Workspace Page 2 of 2
\(6.2 \div 10^2\)
Drop Leading Zero!
Expected: 0.062
SHRINK CARD 8
\(9,300 \div 10^3\)
3 Hops Left \(\leftarrow\)
Expected: 9.3
EXPAND CARD 9
\(0.06 \times 10^2\)
2 Hops Right \(\rightarrow\)
Expected: 6
POWER EXPAND CARD 10
\(2.05 \times 10^3\)
3 Hops Right \(\rightarrow\)
Expected: 2,050
SHRINK CARD 11
\(74 \div 10^1\)
1 Hop Left \(\leftarrow\)
Expected: 7.4
EMPTY BOWL CARD 12
\(0.4 \div 10^1\)
1 Hop Left \(\leftarrow\)
Expected: 0.04
POWER SURGE CARD 13
\(1.2 \times 10^3\)
Double Advance (+2)!
Expected: 1,200
DECIMAL TRAP CARD 14
\(85 \div 10^3\)
Solve without help!
Expected: 0.085
REVERSE DETECTIVE CARD 15
\(9.1 \times 10^? = 910\)
Name the exponent!
Expected: Power of 2
REVERSE DETECTIVE CARD 16
\(32 \div 10^? = 0.32\)
Name the exponent!
Expected: Power of 2
Speedway Tokens (Cut & Color):
🏎️ Racer A 🚙 Racer B 🚀 Racer C ⚡ Racer D
Shift Showdown Cutout Cards • Tactile Math Intervention Page 2 of 2
Card 1 \(3.4 \times 10^1\) = 34
Card 2 \(7.19 \times 10^2\) = 719
Card 3 \(4.5 \times 10^2\) = 450
Card 4 \(0.8 \times 10^3\) = 800
Card 5 \(58.2 \div 10^1\) = 5.82
Card 6 \(419.6 \div 10^2\) = 4.196
Card 7 \(6.2 \div 10^2\) = 0.062
Card 8 \(9300 \div 10^3\) = 9.3
Card 9 \(0.06 \times 10^2\) = 6
Card 10 \(2.05 \times 10^3\) = 2,050
Card 11 \(74 \div 10^1\) = 7.4
Card 12 \(0.4 \div 10^1\) = 0.04
Card 13 \(1.2 \times 10^3\) = 1,200
Card 14 \(85 \div 10^3\) = 0.085
Card 15 Missing: Power \(2\)
Card 16 Missing: Power \(2\)
Intervention Fidelity & CRA Mastery Rubric
Proficiency Level
Observable Behavioral Evidence
Next Step Action
3 - Independent Mastery
Accurately predicts shift direction and hop count mentally; inserts placeholder zeros without visual aids; scores \(\ge 85\%\).
Transition to standard Tier 1 core instruction with metric application extensions.
2 - Developing with Support
Accurate when using the physical decimal slider or drawn swoops, but makes occasional errors when mental hopping past empty digits.
Provide 1 additional 15-min paired session with "Shift Showdown" game; fade slider gradually.
1 - Intensive Need
Continues to confuse multiplication (right) and division (left) directions or applies "zero tacking" indiscriminately.
Re-anchor at Concrete level with physical place-value disks and kinesthetic whole-body jumps.
