Second Grade - MATH
5: Math
Unit 1: Number Sense
Final Project
Project Number Sense!
The lesson's Skills list requires students to "Count within 1000; skip-count by 5s, 10s, and 100s," which has students practice moving through the hundreds. The Skills also require students to "Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900," which has students work directly with numbers in the 100–900 range. Students are asked to use correct mathematical language in captions when labeling their photos, reinforcing number vocabulary.
Unit 4: Place Value I
Lesson 2
Adding to 100
Students use a Place Value Mat labeled Hundreds, Tens, Ones and play "Race to 100," exchanging groups of ten ones (Cheerios) for a pretzel stick (ten) and exchanging ten pretzel sticks for a cookie (100). The activity asks students to track how many tens they have and to determine what number they need to roll to reach 100, emphasizing that ten tens make 100. The abacus panels show columns for thousands, hundreds, tens, and ones and students count by tens and ones when adding (e.g., showing 45 and adding 20), which orients them to the hundreds place value column.
Lesson 5
Place Value to 1000
Students place a single hundreds flat on the laminated place value mat, write '1' in the hundreds place, and write '0' in the tens and ones places to show 100. They repeat this process for 200 by adding a second hundreds flat and writing '2' in the hundreds place, and they use place value cards for 100, 200, ... 900. Students are asked to find and order hundreds cards (100, 200, 300, ... 900) and to skip count by 100s while showing quantities like 3 hundreds, 6 hundreds, etc.
Lesson 6
More Practice With Numbers to 1000
Students use base-10 blocks to build and show three-digit numbers (Activity 1), including numbers shown in the student pages such as 200, 600, and 700. The lesson tells students to place the hundreds, tens, and ones on the place-value mat and reminds them to use zero in a place when there isn't a digit there. In Activity 2 students use hundreds, tens, and ones place-value cards and are instructed to place the tens card over zeros on the hundreds card and the ones card over the zero on the tens card, reinforcing that a zero indicates 0 tens and 0 ones. Activity 4 asks students to identify the value of digits (for example, that the 2 in 285 is worth 200), reinforcing hundreds as a value category.
Lesson 7
Comparing Three-Digit Numbers
Students are asked to identify the value of digits (for example, the lesson asks which number has a digit 7 with value 700). Students use place-value cards labeled hundreds, tens, and ones to create and read three-digit numbers and to compare numbers by first examining the hundreds place. Students practice reading and writing numbers to 1000 and ordering numbers using the hundreds-digit as the primary comparison.
Lesson 8
Skip Counting by 10 Within 1000
Students use base-10 blocks and a laminated place-value mat to model 180, placing digits 1 in the hundreds place, 8 in the tens place, and 0 in the ones place. They add ten rods to make 190, then add ten more tens and trade 10 ten-rods for 1 hundred flat, changing the hundreds digit from 1 to 2 and the tens digit to 0, and identify the resulting number as 200. In the wrapping-up activity, students are given hundred flats and count by hundreds starting at 100 to produce 200 and 300, and they count back by hundreds from 800 to 700, reinforcing that each hundred flat represents one hundred.
Lesson 9
Fun With Big Numbers
The Skills list explicitly states students should "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." In Activity 1, students make and rearrange three-digit numbers and are asked questions such as "What's the value of the 9 in this number?" and "Which digit would be best to use in the hundreds place if you want to make the largest number possible?" In the Wrapping Up, students are asked "What's the value of each digit in your number?" with an explicit example identifying 4 in 416 as having a value of 400.
Final Project
Place Value Think-Tac-Toe
Students are asked to identify and match three-digit numbers shown in numeric form, written hundreds/tens/ones form, and with base-ten block pictures in the Three-Digit Concentration activity. Students roll dice and place digits into hundreds, tens, and ones positions in Place Value Yahtzee and select numbers with a specified digit in the hundreds place (e.g., "Numbers with 6 in the hundreds place"). The Make the Greatest! activity explicitly treats jokers as 0s so students create three-digit numbers that can include zeros in tens or ones positions.
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 ten 100-number grids and are told there are 10 hundreds in 1000. The introduction instructs students to count by 100 to 1000 and to use fingers as they count the 100s. The listed skill includes "Read and write numbers to 1000," indicating students will work with numbers in the hundreds range.
Lesson 2
Inches
Students complete number grids from 1–100 and 101–200 and count by tens up to 200, which exposes them to three-digit numbers in the 100s. The Skills list explicitly states students will "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." In the Wrapping Up questions, students pick a number between 151 and 169 and are asked to name the digit in the hundreds place and state its value, and to identify the tens and ones digits and their values.
Lesson 3
Inches and Feet
The Skills section asks students to "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." The introduction has the student complete number grids from 201 to 300 and the wrapping up asks, "You've already finished three number grids to 100. That means you've written 3 hundreds. How many more grids do you need to complete to get to 1000? (7)," which prompts counting hundreds. The wrapping-up clue activity has students identify numbers by stating the digit in the hundreds, tens, and ones places (e.g., 360, 207, 148), including examples with a zero in the tens or ones place.
Lesson 4
The Metric System, Too
The Skills list explicitly states students will "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 asks the child to complete number grids (including 301–400) and to identify which digits are in the hundreds, tens, and ones places while writing numbers. The Wrapping Up asks students to lay out number grids 1–400 and pick numbers to describe the digits and the values of those digits.
Lesson 5
More Work With Measurement Units
Students complete 10x10 number grids (including a grid from 401 to 500) and are asked to lay out five finished grids and count up by 100s, pointing to 100, 200, 300, 400, and 500. Students are instructed to read and write numbers to 1000 and are taught that the three digits of a three-digit number represent amounts of hundreds, tens, and ones. Students answer place-value questions (e.g., 1 more/10 more/10 less) that reinforce understanding of how digits change when counting.
Lesson 6
Creating With Measurement
Students write number grids that extend through 600, giving them practice with three-digit numbers and the sequence of hundreds. Students are asked to count by 100s and to note that only the hundreds digit changes when counting by 100s. Students use an example (126 → 226 → 326) to predict how the hundreds digit changes when adding 100.
Lesson 7
The Right Tools for the Job
Students complete number grids up to 700 and are asked to count aloud from 585 to 615 while pointing to the numbers, giving them experience with three-digit numbers including 100, 200, etc. The skills list explicitly states students will "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." During the wrap-up students ask and answer yes/no place-value questions such as, "Does this number have a 4 in the hundreds place?" which practices identifying the hundreds digit.
Lesson 8
Comparing Lengths
Students complete number grids up to 800 and practice counting by 2s and 5s within the 700s, and the skills list explicitly states students should "Read and write numbers to 1000" and "Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones." In the wrap-up, students play a secret-number game where they ask and answer place-value questions such as, "Does this number have three digits?" and "Does this number have a 4 in the hundreds place?", which requires identifying the hundreds digit.
Lesson 9
Gummy Worms and Measurement Data
The skills list and introduction ask students to read and write numbers to 1000 and to understand that three-digit numbers represent hundreds, tens, and ones. Students lay out number grids up to 900 and count by 100s from 100 to 900 while pointing to the numbers. The closing "secret number" game has students ask and answer questions about the hundreds place (for example, "Does this number have a 4 in the hundreds place?").
Lesson 10
Measurement Practice and Problem Solving
Students are asked 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." Students complete ten 10x10 number grids to write numbers through 1000 and are prompted to count by 100s from 100 to 1000 (100, 200, 300, …, 1000). The wrapping-up activities also have students count by 10s and identify numbers that are 10 more/less, reinforcing place-value counting to 1000.
Unit 6: Place Value II
Lesson 1
Adding Multi-Digit Numbers
Students are instructed to model exchanges of 10 tens for 1 hundred using an abacus and base-10 blocks (for example, showing 60, adding 40, and exchanging 10 ten beads for 1 hundred to get 100). The abacus is explicitly labeled with a 100 column and students are asked to show multi-digit numbers and to exchange ten-rods for a hundreds flat when appropriate. Students compute many sums that produce three-digit numbers (e.g., 100, 113, 119, 134, 145) and check those sums using hundreds, tens, and ones representations.
Lesson 3
Three-Digit Place Value Review
Students are asked to identify the digit in the hundreds place and state how many hundreds are in given numbers (e.g., questions about 781 and 864). Students build numbers with a zero in a place (example: create 260 with a 2 in the hundreds place and a 0 in the ones place) and represent numbers with hundreds on the abacus (e.g., adding a hundred bead to make 149). Students write and match expanded forms that show the value of the hundreds place (examples include 800+30 matched to 830 and 600+5 matched to 605).
Lesson 4
Adding and Subtracting 10 and 100
Students use an interactive abacus to start at 0 and add 100 repeatedly (pressing the "+" under the hundreds place) until they reach 1000, and they are asked which place changes when adding/subtracting 100 (the hundreds place). The student activity page includes a +100 column where students calculate results for numbers like 264, 730, and 108, showing how adding/subtracting 100 affects the digits. The teacher prompts students to show specific numbers (e.g., 1000, 308, 640, 706) on the abacus, which requires students to move only the hundreds, tens, or ones beads as appropriate.
Lesson 5
Adding Within 1000
Students are given a list of multiples of 100 (100, 200, …, 900) and are asked to name them and point to 600 while being prompted, "This means 6 hundreds, right?" In Activity 1 students add 400 + 300 and use base-10 flats to show 4 hundred flats plus 3 hundred flats = 7 hundred flats, and they solve 572 + 300 while being asked to notice that the ones and tens places remain the same because zero is added. The student activity pages and answer keys include problems such as 300 + 600 = 900 and several exercises adding multiples of 100 to other numbers, reinforcing the interpretation of these numbers as hundreds.
Lesson 6
Subtracting Within 1000
Students use base-10 blocks to model three-digit numbers (e.g., showing 5 hundred flats, 6 ten rods, and 8 unit blocks) and are directed to remove a specified number of hundred flats (e.g., take away 2 hundred flats to represent subtracting 200). Instructional prompts tell students that when adding or subtracting multiples of 100 only the hundreds place changes, and problems such as 800 - 300 = 500 and 400 + 585 = 985 appear on the practice sheet. Counting-by-100s activities and problems (e.g., sequences 280, 380, 480 and items like 600 + 289, 800 - 300) require students to work with whole hundreds and recognize hundreds-place changes.
Lesson 7
More Addition and Subtraction Practice
Students create three-digit numbers by drawing from hundreds, tens, and ones place-value stacks and read the numbers aloud, then answer direct questions such as "How many hundreds does it have?" and "What is the value of the digit in the tens place?". The warm-up also asks students to compute "What is 100 more" and "What is 100 less," prompting work with adding/subtracting hundreds. Several practice problems and the answer key include whole-hundred values (e.g., 400 + 500 = 900; 900 - 600 = 300; 350 + 450 = 800), giving students opportunities to produce and identify numbers like 300, 800, and 900.
Final Project
Traveling Adventure!
Students are asked to read and write numbers to 1000 and to read distances aloud (for example, 'one hundred seventy-four miles'). They use place-value tools such as base-10 blocks and a laminated place value mat while solving addition and subtraction problems. Several problems and the answer key include the number 100 explicitly (for example, adding +100 in number sentences).
Unit 7: Telling Time
Lesson 2
AM and PM
The Skills list includes "Add and subtract within 1000," and the Wrapping Up activity has students write vertical number sentences with three-digit addends and sums (e.g., 435+182=617, 526-148=378, 751+249=1000, 883-566=317). After solving, students read each number sentence aloud using phrase forms such as "four hundred thirty-five plus one hundred eighty-two equals six hundred seventeen," which requires naming and using the hundreds place in multi-digit numbers. These items show students working with and vocalizing three-digit numbers that include a hundreds digit.
Lesson 6
Time and Daily Activities
Students write and solve vertical number sentences that include round hundreds (for example, 958 - 300 and 275 + 500). Students read each number sentence aloud after finding sums and differences, and they use addition and subtraction within 1000 that involves 100s (300, 500).
Unit 8: Money
Lesson 2
Introducing Quarters!
Students use base-10 blocks and an abacus to determine values of 1, 2, 3, and 4 quarters and record 1 quarter = 25¢, 2 quarters = 50¢, 3 quarters = 75¢, and 4 quarters = 100¢. Students are asked to recognize that 100 cents is the same as one dollar and to store this result in their Interactive Notebook. Students practice representing coin amounts with manipulatives and check their answers using the abacus.
Lesson 3
More Practice With Coins
The Skills list explicitly includes mentally adding 100 to a given number 100–900 and mentally subtracting 100 from a given number 100–900. The Introduction gives several practice problems (e.g., 356+400, 742-300, 829-100, 920-800) and prompts students to "think about what's happening to the hundreds place" while finding sums and differences. The wrapping up and Activity 2 include work with 100 (100¢ = 4 quarters), reinforcing the concept of the value of 100 in context.
Lesson 5
Making a Dollar
Students count and group coins to make 100 cents, including gluing coins to show 1 dollar, 4 quarters, 10 dimes, or 20 nickels and counting dimes by 10s and nickels by 5s to total 100. Students see and write $1.00 and are told that the number before the dot shows how many dollars and the number after shows how many cents (e.g., $1.25 = 1 dollar and 25 cents). Students match written dollar amounts (e.g., $1.30, $1.55) with pictures of bills and coins and show $1.45 and $1.25 using a dollar bill plus coins.
Lesson 6
Work With a Dollar and More
Students compare a one-dollar bill to a hundred flat and note both represent 100, and they build to 2 and 3 dollars while saying these are 200 cents and 300 cents. Students play a game where the goal is 200 cents and use two hundred flats to see that two dollar bills equals 200 cents. Students are asked to exchange coins for a dollar and to count dollars as 100-cent units in several activities.
Lesson 9
Some More Practice With Money
The lesson prompts the child to identify two half dollars as one dollar (100 cents). Students play games that require reaching or going beyond two dollars and exchanging coins and bills to minimize coins. The wrapping-up activity has students create multi-dollar amounts (for example $3.64) with dice and represent those amounts using bills and coins.
Unit 10: Skills Review
Lesson 1
Reviewing Numbers to 1000
Students practice reading and writing three-digit numbers using expanded form in Activity 1 (e.g., 257 = 200 + 50 + 7; 608 = 600 + 8; 270 = 200 + 70). The Skills list explicitly names "Read and write numbers to 1000 using base-ten numerals, number names, and expanded form," and students mentally add and subtract 100 to and from numbers 100–900 in the Getting Started questions (e.g., 93 + 100 = 193). Activity 2 and the wrapping-up dice activity require students to work with hundreds when ordering and forming three-digit numbers up to 1000.
Lesson 2
Reviewing Addition and Subtraction
Students are asked to skip count by 100 (e.g., count up by 100 from 300 to 1000 and from 220 to 820), which has them identify the sequence of hundreds. Students solve and explain addition and subtraction problems using multiples of 100 (e.g., 300+400, 800-500, 378+400, 800-200) and are prompted to explain which place value digit changes and the role that zero plays. The student worksheet includes problems with 100s (e.g., 378+400, 800-200, 490-400) that require students to treat 100s as whole hundreds when computing.
