Second Grade - MATH
5: Math
Unit 1: Number Sense
Lesson 2
Patterns in Numbers
Students are asked to skip-count by 2s, 5s, 10s (and the skills list names counting within 1000) using number lines and 1–100 number grids, including circling or coloring the numbers they land on. Students construct a "My Number Pattern Book" coloring grids for given intervals (5, 10, 4, 6, and another number less than 10) and practice finding overlaps of patterns on grids. Students are asked to spell and write number words for one through five during the wrapping up activity.
Lesson 3
Missing Numbers
Students fill in missing numbers on 1–100 number grids and complete number sequences (e.g., 20,25,30,35,... and grids with missing entries up to 100). Students practice counting by 2s, 3s, 5s, and 10s, fill blanks in patterned sequences, and verbally identify the number before and after a drawn card (for example saying "thirty-four" and "thirty-six"). Students create their own number patterns and reconstruct partial grid pieces to place numbers in correct order on a 1–100 grid.
Lesson 6
Equal Groups
Students are asked to "Write the number and the number word" on the "How to Tally" page, with example rows showing numerals like 3, 11, 7, 21, and 50. Students record numerals in tables (e.g., Number columns on the "Odd or Even?" pages) and work with a blank laminated number grid to 100 and games/activities that use numbers up to 100. Students represent numbers with tally marks and counters and write numerals for items such as 33, 51, and 54 on activity pages.
Unit 4: Place Value I
Lesson 1
Two-Digit Place Value Review
Students build and identify two-digit numbers using base-10 blocks and place-value cards (examples: 35, 29, 61). Students say numbers aloud using their traditional number names (e.g., 'thirty-seven') and write expanded form for two-digit numbers (e.g., 30 + 5, 20 + 9, 60 + 1) on the whiteboard and worksheets. Students complete activity pages that represent numbers in base-10, tens-and-ones form, and expanded form for two-digit examples.
Lesson 2
Adding to 100
Students represent and add multi-digit numbers using base-10 manipulatives: they show 45 with base-10 blocks and add 20 to get 65, use an abacus with columns labeled 1000 | 100 | 10 | 1 to build and add numbers, and use a place value mat with Hundreds, Tens, and Ones when playing Race to 100. Students write and solve addition sentences (for example, 45+20=65, 28+17=45, 36+29=65) and count tens and ones aloud when composing and decomposing numbers.
Lesson 4
Lots of Subtraction!
Students represent numbers with base-10 blocks, an abacus, and a place-value mat when modeling subtraction problems (Activities 2 and 3). Students use tens and ones digits explicitly when subtracting multiples of 10 and two-digit numbers, and they are asked to write subtraction sentences and line up tens and ones. At the end, students are asked to write the number words "fourteen, fifteen, sixteen."
Lesson 5
Place Value to 1000
Students manipulate base-ten blocks (hundreds flats, ten rods, unit blocks) to make and identify three-digit numbers (e.g., placing 3 hundreds, 5 tens, and 8 ones and writing 3, 5, 8 to show 358). Students write digits in the hundreds/tens/ones chart and write three-digit numerals (examples: 437, 186, 529) and read numbers aloud (students say "four hundred sixty-two" when naming 462). The lesson shows decomposition with place-value cards and an image that breaks 358 into 300, 50, and 8, and students use place value cards (300, 50, 8) to represent components of numbers.
Lesson 6
More Practice With Numbers to 1000
Students build and label three-digit numbers with base-ten blocks (e.g., 631, 999, 540, 308) and match the three-digit numerals to images and the numbers used to make them. Students use place-value cards to create called-out three-digit numbers (184, 461, 729, etc.) and say each number aloud. The provided answer key labels decomposed parts of numbers as hundreds, tens, and ones (e.g., 700, 40, 9), showing decomposition into place-value components.
Lesson 7
Comparing Three-Digit Numbers
Students write and sequence three-digit and two-digit numbers on index cards (examples: 745, 286, 650, 39, 178, 821) and explain ordering by hundreds, tens, and ones. Students identify place-value meanings of digits (for example, noting that the digit 8 has a value of 80 and the digit 7 has a value of 700). Students read number sentences aloud in number-name form (for example, saying "Five hundred sixty-two is less than seven hundred eighty-three").
Lesson 8
Skip Counting by 10 Within 1000
Students read and fill in missing numbers on a 101–200 number grid and read those numbers aloud as they work, practicing recognition of base-ten numerals. Students use base-ten blocks and a place-value mat to build numbers such as 180, 190, 200 and write the digits in the hundreds, tens, and ones places, then write sequences of numbers (e.g., 180, 190, 200, 210) on the whiteboard. Students complete worksheets that require filling blanks with numerals when counting by tens up to and beyond 200 and practice counting by hundreds up toward 1000 using hundred flats.
Lesson 9
Fun With Big Numbers
The skills list and activities require students to create, read, and write three-digit numerals (e.g., making numbers from drawn digits, recording numbers on a whiteboard, and completing the worksheet of largest/smallest three-digit numbers). Students are asked to identify the value of each digit in a number (for example, in 416 saying 4 = 400, 1 = 10, 6 = 6) and to use hundreds, tens, and ones language throughout activities. Activities also have students count within 1000 and skip-count by tens and hundreds, supporting understanding of base-ten place value.
Final Project
Place Value Think-Tac-Toe
Students match three-digit numbers shown as base-ten numerals, place-value word forms (e.g., "3 hundreds 2 tens 4 ones"), and base-ten block pictures in the Three-Digit Concentration activity. Students create and record three-digit numbers during Make the Greatest! and Place Value Yahtzee, and they sequence and order collections of three-digit numbers in Hunting and Sequencing and the Number Drop activity. Multiple activities require students to read, write, and manipulate three-digit numerals up to 999 using digit cards, dice, or magazines, reinforcing reading and writing of numerals and place-value descriptions.
Unit 5: Measurement: Length
Lesson 1
Why Do We Use Standard Measurement Units?
Students are asked to "create a 'Numbers to 1000 Collection'" by filling blank 100-number grids and to count by 100s to 1000, and they are instructed to write numbers starting at 1 up to 100 in the number grid. The Skills list explicitly includes "Read and write numbers to 1000." Wrapping up tasks have students count by 10s and 5s on the 1–100 grid and identify numbers based on place value (e.g., point to the number that has a 5 in the tens place).
Lesson 2
Inches
Students complete number grids through 200 (filling 101–200) and count by tens from a chosen start, pointing to numerals as they go. The wrapping-up questions ask students to pick a number between 150 and 170, state how many digits it has, identify the digit in the hundreds/tens/ones place, and state the value of each digit. The lesson's skills list explicitly names "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones."
Lesson 3
Inches and Feet
Students fill number grids starting at 201 and complete through 300, practicing writing base-ten numerals. Students lay completed grids side by side to show hundreds (1–300) and answer how many more grids are needed to reach 1000, reinforcing place value of hundreds. Students identify numbers from place-value clues and are prompted to say the numbers aloud with number names (e.g., 360, "three hundred sixty").
Lesson 4
The Metric System, Too
The Skills section explicitly tells students to "Read and write numbers to 1000" and to "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." In the Introduction students complete a 301–400 number grid and are prompted to state how many digits a number has and identify the hundreds, tens, and ones places. In the Wrapping Up students lay out number grids (1–400), pick numbers, describe them in multiple ways, and provide the digits and the values of those digits.
Lesson 5
More Work With Measurement Units
The Skills section explicitly lists "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." The Introduction directs students to complete a number grid from 401 to 500 and frames this as writing numbers toward 1000, so students write base-ten numerals on the grid. The Wrapping Up has students lay out number grids, count by hundreds, and answer questions about 1 more/10 more/10 less and identify odd/even numbers by pointing to and locating numerals on the grids.
Lesson 6
Creating With Measurement
Students complete a 10x10 number grid beginning at 501 and later arrange six finished number grids in order so they have written numbers 1 through 600. Students practice counting by 10s and by 100s from chosen numbers and are asked which digit changes when counting by tens (tens place) and by hundreds (hundreds place). Students are prompted to use place-value reasoning to predict successive numbers (e.g., pointing to 126 and identifying 226 and 326).
Lesson 7
The Right Tools for the Job
Students complete numbered 10x10 grids beginning at 1 and ending at 700 and count aloud from 585 to 615 while pointing to the numerals, practicing reading numerals and saying number names. The skills list explicitly includes "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." Students play a number-guessing game by asking yes/no questions about digits and places (e.g., "Does this number have a 4 in the hundreds place?" "Does this number have an 8 in the tens place?"), which practices identifying digits in the hundreds, tens, and ones places. The activities require students to locate, read, and verbally identify digits in three-digit numbers on the grids.
Lesson 8
Comparing Lengths
Students complete number grids ending at 800 and count by 2s and 5s, practicing reading and writing base-ten numerals. Students play a secret-number game asking and answering questions about whether a number has three digits and whether a specific digit appears in the hundreds or tens place, practicing place-value identification (hundreds, tens, ones). Students are directed to read and write numbers to 1000 and to understand that three-digit numbers represent amounts of hundreds, tens, and ones.
Lesson 9
Gummy Worms and Measurement Data
Students complete number grids that extend into the 800s (start at 801) and lay out grids up to 900, providing practice writing and recognizing three-digit numerals. Students count by hundreds from 100 to 900, reinforcing hundreds-place values. Students play a "secret number" game that requires asking about digit placement (e.g., "Does this number have a 4 in the hundreds place?"), which practices identifying hundreds, tens, and ones.
Lesson 10
Measurement Practice and Problem Solving
The Skills section explicitly lists "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." Students complete number grids up to 1000, count aloud from 980 to 1000, and practice counting by 10s and 100s and identifying numbers that are 10 or 20 more/less, giving repeated practice with base-ten numerals and place-value positions.
Unit 6: Place Value II
Lesson 1
Adding Multi-Digit Numbers
Students represent numbers with a base-ten abacus that has columns labeled 1000, 100, 10, and 1 and are asked to show specific numbers (e.g., 29, 92, 54, 45) and to exchange ten tens for one hundred. Students use expanded-form decomposition as a strategy for addition (e.g., 35 + 23 → 35 + 20 = 55, 55 + 3 = 58) and are prompted to break numbers into tens and ones when solving problems. Students write numerals vertically, align ones and tens correctly, and compute sums that produce three-digit numerals (e.g., 122, 113), checking results with base-ten models.
Lesson 2
Going Further With Subtraction
Students use base-10 blocks and a laminated place-value mat to represent and subtract two-digit numbers, showing engagement with base-ten numerals and place-value concepts. Students roll dice to create two-digit numbers and write those numbers on grid paper, practicing writing and aligning numerals. Students are asked to spell number names (twenty, thirty, forty), providing direct practice with writing number names for specific two-digit values.
Lesson 3
Three-Digit Place Value Review
The skills list and multiple activities explicitly ask students to construct and read three-digit numbers using base-ten blocks, place-value cards, and the abacus (e.g., students show 352, 781, 864 and read numbers like 256, 473, 528, 649). Activity 2 has students write and match numbers in expanded form (e.g., writing 481 as 400+80+1 and completing a Three-Digit Expanded Form matching sheet). The lesson prompts students to say number names aloud for created numbers (e.g., prompting students to say "two hundred sixty," "four hundred seventy-nine," and "six hundred thirteen").
Lesson 4
Adding and Subtracting 10 and 100
Students use hundreds, tens, and ones place-value cards to construct three-digit numbers from digit clues, showing understanding of base-ten places. Students manipulate an interactive abacus to show and name numbers (examples given: 671, 589, 1000, 63, 308, 640) and to add/subtract tens and hundreds, reinforcing place-value structure to 1000. Students write numerals in the +10/+100/-10/-100 table for given numbers and practice writing some number words (fifty, sixty, seventy).
Lesson 5
Adding Within 1000
Students are asked to read and write numbers to 1000 (Skills list) and repeatedly work with three-digit numerals in activities and student pages. Students show three-digit numbers on the abacus and read addition sentences aloud (for example, "six hundred thirty-one plus two hundred eighteen equals eight hundred forty-nine"). Students represent numbers with base-10 blocks (showing hundreds, tens, and ones) and write sums using base-ten numerals on activity sheets. Students are shown and asked to use expanded form when adding (for example, writing 300+20+1 next to 321 and adding hundreds, tens, and ones).
Lesson 6
Subtracting Within 1000
Students create and write three-digit numerals when they roll three dice or draw index cards and then write vertical subtraction sentences (e.g., 635-423) and fill answers on activity pages. Students use base-ten blocks and a place-value mat to represent hundreds, tens, and ones (e.g., showing five hundred flats, six ten rods, and eight unit blocks) and read subtraction sentences aloud using number names (for example, "Five hundred sixty-eight take away two hundred equals three hundred sixty-eight"). Students practice number sequencing and place value by completing counting-by-10s and 100s exercises that include numbers up to the 900s and by writing number words such as "eighty," "ninety," and "one hundred."
Lesson 7
More Addition and Subtraction Practice
Students draw ones, tens, and hundreds place-value cards to create three-digit numbers and read each number aloud. Students answer questions about the digit values (How many hundreds? What is the value of the digit in the tens place?) and find 10 more/10 less/100 more/100 less, using base-10 blocks, an abacus, or a place-value mat as needed. Students write three-digit numerals when creating addition and subtraction sentences in the Close Call games and complete worksheets with three-digit addition and subtraction problems.
Final Project
Traveling Adventure!
Students are asked to name the distances on the map using number words (for example, saying "one hundred seventy-four miles apart"). Students write number sentences and record numeric answers (base-ten numerals) in the Number Sentence and Answer columns, and they label answers with "miles." Students are given place-value materials (abacus, base-10 blocks, place value mat) to use while computing sums and differences up to values shown on the map (answers up to 509).
Unit 7: Telling Time
Lesson 2
AM and PM
Students write and compute vertical number sentences with three-digit numbers (for example, 435 + 182, 751 + 249) and are asked to read each number sentence aloud using number names (for example, "four hundred thirty-five plus one hundred eighty-two equals six hundred seventeen"). The introduction asks students to say today's date and write it in two ways on the whiteboard, and students write times and digital clock numerals during activities, showing practice with base-ten numerals up to 1000.
Lesson 3
Units of Time
Students complete multi-digit addition and subtraction problems with numbers as large as 962 and 824, and answers are written as base-ten numerals on the worksheet. Instructions tell students to line up places correctly and remind them they may need to compose 10/regroup and borrow, which engages place-value reasoning. Students are also asked to write today's date in two ways on the whiteboard, providing at least one task that involves writing numbers.
Lesson 4
Telling Time to 5 Minutes
Students write and read multi-digit numbers in the wrap-up where they write vertical number sentences (e.g., 617+175, 853-175) and read each number sentence aloud. Students write and read digital times (e.g., 4:05, 4:10) and are asked to write and say times in words (e.g., write "four twenty-five" and say "seven oh five"). Students match analog clocks to digital numerals in the "Matching 5-Minute Times" activity, reinforcing recognition of base-ten numeral representations for minutes.
Unit 8: Money
Lesson 2
Introducing Quarters!
Students are asked to name amounts of money and then write each amount on the whiteboard using the ¢ symbol (e.g., 73¢) and to place numeric sticky notes (38¢, 55¢, etc.) next to groups of coins. Students use base-10 blocks and an abacus to determine and record values for 1–4 quarters (25¢, 50¢, 75¢, 100¢) and glue those numeric values into their Interactive Notebook. Students write vertical number sentences with three-digit numbers (e.g., 525+173, 975-566) and read each number sentence aloud after computing sums and differences up to values near 1000.
Lesson 3
More Practice With Coins
Students solve written addition and subtraction problems involving hundreds (e.g., 356+400, 742-300, 920-800) and are prompted to mentally add or subtract 100 to numbers from 100–900. Students read and write monetary numerals (e.g., 99¢, 100¢, 920, 100) when making and ordering amounts and when labeling cups and activity sheets. Students represent amounts using coin combinations that reflect place-value thinking (exchanging pennies for nickels/dimes/quarters to minimize coins).
Lesson 4
Fun With Money
Students write and compute with three-digit base-ten numerals when they set up vertical number sentences such as 618+355 and 654-246 and check sums like 973. Students create and record two-digit numerals using rolled dice and represent cent amounts with numerals (e.g., 87¢, 68¢, 71¢) across multiple activities. Students draw and label specific coin combinations to match given numeric cent totals on puzzles and riddles, reinforcing use of numeric representations up to three digits in context.
Lesson 6
Work With a Dollar and More
Students use base-10 flats to connect 1 dollar = 100 cents and to count 2 dollars = 200 cents and 3 dollars = 300 cents, showing understanding of hundreds as units. Students write money amounts in numeric form (for example $1.43, $1.67, $3.25) after hearing or seeing the number names such as "one dollar and sixty-seven cents." Students count and record dollar-and-cent amounts on worksheets and sticky notes, using digits and $/¢ notation.
Lesson 7
Money Problem Solving
Students solve three-digit addition and subtraction problems written vertically (e.g., 425+377, 927-378, 586+356, 946-563) and are asked to check answers with a calculator and then read each number sentence aloud. The skills list explicitly includes "Add and subtract within 1000," and students create and write two-digit numbers using dice and write cent notation on the student sheet. Activities require students to represent and count dollar and cent amounts using numerals (¢ and $) and to show equivalent amounts in different coin/bill combinations.
Lesson 9
Some More Practice With Money
Students roll dice and write generated amounts such as $3.64 on the whiteboard and then represent those amounts using bills and coins. Students complete a "My Piggy Bank" page where they count the coins they colored and write the total value in the blank at the bottom. Students name coin values verbally (e.g., "50 cents," "1 dollar" for two half-dollars) and practice exchanging coins for dollars when collecting pennies to reach dollar amounts.
Unit 9: Data and Graphing
Lesson 1
Data Is Everywhere!
Students write and compute three-digit addition and subtraction problems (e.g., 376+173, 683-348, 489+159, 577-566) in vertical format, which requires reading and writing base-ten numerals up to the hundreds. Students are asked to read each number sentence aloud after correcting their work, providing practice with verbalizing the numerals. Students also record numeric data such as temperatures and counts (tally marks, number of items, lemonade cups sold) on data charts, which involves writing and using three-digit numerals in context.
Unit 10: Skills Review
Lesson 1
Reviewing Numbers to 1000
The Skills section explicitly states that students will "Read and write numbers to 1000 using base-ten numerals, number names, and expanded form." In Activity 1 students watch a video on expanded form and complete a worksheet converting three-digit numerals to expanded form and vice versa (answer key shows mappings like 257 = 200 + 50 + 7). In Activity 2 students play a game with numbers up to 1000 and complete a comparing worksheet that presents numbers both as base-ten numerals and as expanded form so students must read and compare those representations. The Introduction and Wrapping Up require students to write numbers as they hear them and to construct largest/smallest three-digit numerals from rolled digits, giving practice with spoken-to-numeral and numeral construction.
Lesson 2
Reviewing Addition and Subtraction
Students count within 1000 and skip-count by tens and hundreds aloud (e.g., counting by 10s from 30 to 120 and by 100s from 300 to 1000). Students write and manipulate three-digit numerals (writing starting numbers on the whiteboard, creating three-digit numbers from dice, and writing vertical addition and subtraction problems). Students use base-10 materials and place-value reasoning to add and subtract multiples of 10 and 100 and to determine which digit/place changes.
