2.2(A) — Number and Operations: Read, write, and identify place value of whole numbers to 1,200 using standard, word, and expanded forms; 2.2(B) — Use concrete and pictorial models to represent numbers up to 1,200 in expanded notation
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Generate a lesson like this 2nd Grade · Math · pre-filled for youDisplay on the board: 356. Ask: “How many tens are in this number? How do you know?” Students think silently, then share. Record all strategies: skip counting by 10s, breaking into hundreds then counting tens, 35 tens exactly.
Repeat with a harder number: 847. “How many tens? How many ones left over?” This reveals whether students are thinking additively (356 = 300 + 50 + 6) or multiplicatively (356 = 35 tens + 6 ones). The distinction matters for expanded notation.
The goal is to surface the multiplicative view of place value. If students only think “35 tens” means “count by 10 thirty-five times,” they’ll struggle with larger numbers. Use the sentence frame: “In [number], there are [ ] tens and [ ] ones left over. The [ ] tens are worth [ ].” This language connects directly to expanded form.
Teacher models representing 1,200 using base-ten blocks (12 hundreds, 0 tens, 0 ones). Ask: “What would 12 hundreds look like? How do we show that efficiently?” Introduce: 12 hundreds = 1 thousand + 2 hundreds.
Students work with their own base-ten blocks. Teacher calls out numbers: 347, 809, 1,024, 670, 1,200. Students build each with blocks and write the expanded form (300 + 40 + 7 = 347) on whiteboards. Students hold up whiteboards simultaneously — teacher scans for accuracy.
For 1,024: students will struggle with how to show 1 thousand (10 hundreds). Ask: “Can you use your hundreds? If you have 10 hundreds, what can you trade up to?” This introduces the base-ten exchange convention before students formalize it with larger numbers. Don’t skip the exchange — it's the core insight.
Students work in pairs on “expanded form puzzles”: a 3-digit number is written in expanded form, students reconstruct the standard number. Examples: 400 + 50 + 6 = ?; 900 + 0 + 8 = ?; 1,000 + 200 + 30 + 1 = ?
Each pair receives 8 puzzle cards. They stack cards they solve; unsolved cards go back in the pile. Fastest pair to solve all 8 explains their strategy to the class: “How did you know to combine the parts instead of adding them one by one?”
The key misconception: students who add the parts (400+50+6=456) rather than seeing 400, 50, and 6 as pieces of the same number. Both give the right answer, but the reasoning is different. Ask: “If I change the 50 to 5 (without the zero), do I still have 50? Why does the zero in a number like 509 matter?” The zero is where place value understanding either clicks or collapses.
Students compare 5 pairs of 3-digit numbers: 456 vs. 465; 802 vs. 820; 1,099 vs. 1,100; 734 vs. 734; 200 vs. 199. For each pair, students must decide which is greater and explain WHY using place value.
Pairs sort the 5 comparisons into 3 categories: (A) first number is greater, (B) second number is greater, (C) they're equal. Then they write the comparison rule: “To compare 3-digit numbers, first look at the _____ place.” If the digits are the same, look at the _____ place next.
The 734 vs. 734 and 1,099 vs. 1,100 pairs are intentional — they catch students who use counting strategies (99 > 98 so 199 < 200?) and require place value reasoning. The comparison rule they write (hundreds → tens → ones) is an important summarization of the lesson’s core concept. Display the rule on the anchor chart for the unit.
Three problems: (1) Write 938 in expanded form. (2) Draw base-ten blocks to represent 1,047. (3) Is 801 greater than, less than, or equal to 810? Explain using place value.
Students complete independently. Teacher collects — sort into 3 piles based on whether students correctly handled the tens place in expanded form (900+30+8), the hundreds place in the comparison, and the zero-value digit (0 tens in 801).
The three-problem exit ticket tests three distinct skills: expanded form construction, base-ten representation, and comparison reasoning. Piles with errors on the zero-value digit (e.g., writing 801 as 900+8 instead of 800+0+1) indicate the digit-in-position concept needs reinforcement — small group intervention tomorrow.
Provide base-ten block templates for students to color and cut out. Use numbers under 100 for initial problems (46 = 40 + 6). Provide the expanded form as a scaffold with blanks: 400 + _ + _ = ?. For comparison, provide a hundreds-place visual (which has more hundreds blocks?).
Challenge: represent 1,200 in at least 3 different ways using base-ten blocks (10 hundreds, or 12 hundreds, or 1 thousand + 2 hundreds). Can they also write 1,200 in expanded form using 2 different approaches?
Use physical base-ten blocks for all activities. Provide number word anchor charts (one hundred, two hundred, etc.). Allow students to draw the base-ten blocks for the exit ticket instead of writing. Pre-teach: digit, tens, hundreds, ones, equal, compare, greater, less.
Exit ticket: each problem scored on 4-point rubric. (1) Expanded form: 4 = 900+30+8 correctly; 3 = 900+30+8 with minor error; 2 = attempted; 1 = blank. (2) Base-ten drawing: 4 = correctly shows thousands/hundreds/tens/ones for 1,047; 3 = minor error; 2 = attempted; 1 = blank. (3) Comparison: 4 = correct symbol + place value explanation; 3 = correct symbol + partial explanation; 2 = correct symbol only; 1 = incorrect or blank.
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