A comprehensive hands-on 4th grade mathematics lesson exploring place-value relationships, guiding students to discover that a digit in one place represents 10 times what it represents in the place to its right and one-tenth of what it represents in the place to its left (TEKS 4.2A). Includes manipulative-based investigation, multi-representation practice, and formative assessment.
REGROUP RIGHT (\(\frac{1}{10}\)) one-tenth of the value
÷ 10
REGROUP RIGHT (\(\frac{1}{10}\)) one-tenth of the value
÷ 10
Power Shifts Manipulatives • Mat 2 (Cut-Out Kit) Grade 4 • TEKS 4.2A
3
× 10
30
× 10
300
1/10 of
3,000
a. \(30\) is 10 times the value of
b. \(300\) is \(\frac{1}{10}\) the value of
c. \(3,000\) is 10 times the value of
d. \(30\) is \(\frac{1}{10}\) the value of
5 Part 5: Standard Assessment Items
8. In the number 64,480, which statement best compares the value of the two 4s?
A The 4 in the thousands place is 10 times the value of the 4 in the hundreds place.
B The 4 in the hundreds place is 10 times the value of the 4 in the thousands place.
C The 4 in the thousands place is 100 times the value of the 4 in the hundreds place.
D The 4 in the thousands place is \(\frac{1}{10}\) the value of the 4 in the hundreds place.
9. The mass of an elephant at the zoo is 4,000 kilograms. The mass of a baby elephant is one-tenth of that mass. What is the baby elephant's mass?
A 40,000 kilograms
B 400 kilograms
C 40 kilograms
D 3,990 kilograms
Part 6: Math Detective (Spot the Error)
10. Mateo says: "The value of the 7 in 700 is 10 more than the value of the 7 in 70 because \(70 + 10 = 80\)." Is Mateo correct? Explain why or why not using what you know about place value positions.
Power Shifts Practice Worksheet • Page 2 of 2 Grade 4 • TEKS 4.2A
Item 6 (8 in Thousands): Value = 8,000
Exemplar Explanation: The 8 in the thousands place has a value of 8,000, which is one-tenth (\(\frac{1}{10}\)) the value of the 8 in the ten thousands place (\(8,000 = 80,000 \div 10\)).
Power Shifts Answer Key • Page 1 of 2 Grade 4 • TEKS 4.2A
Solutions Guide
Application & Exit Ticket Keys
Page 2
Practice Worksheet: Page 2 Solutions
Item 7: Place Value Jump Models
a. \(30\) is 10 times: 3
b. \(300\) is \(\frac{1}{10}\) of: 3,000
c. \(3,000\) is 10 times: 300
d. \(30\) is \(\frac{1}{10}\) of: 300
Item 8: Comparing Digits in 64,480
Correct Answer: A
The 4 in the thousands place (\(4,000\)) is immediately to the left of the 4 in the hundreds place (\(400\)). Since it is one place to the left, it represents \(10 \times 400 = 4,000\).
Distractor Alert: B reverses direction; C confuses 10 with 100; D confuses 10 times with one-tenth.
Item 9: Baby Elephant Mass
Correct Answer: B (400 kilograms)
One-tenth of 4,000 means dividing 4,000 into 10 equal parts: \(4,000 \div 10 = 400\) kg. On the place value chart, the digit 4 shifts one column to the right from thousands to hundreds.
Distractor Alert: D represents an additive misconception (\(4,000 - 10\)).
Item 10: Math Detective (Mateo's Error) Exemplar Response
Mateo is incorrect. Place value relationships are multiplicative, not additive. The digit 7 in 700 has a value of 700, and the 7 in 70 has a value of 70. The difference is \(700 - 70 = 630\), not 10. The 7 in 700 is 10 times the value of the 7 in 70 because \(70 \times 10 = 700\).
• Students scoring 0-1: Re-engage at Station 1 with physical base-ten blocks. Physically group 10 rods into a flat.
• Students scoring 2: Clarify language traps: "10 times as much" (growing) vs. "one-tenth of" (shrinking).
Power Shifts Answer Key • Page 2 of 2 Grade 4 • TEKS 4.2A
