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## 2nd Grade Number & Operations Skills

Prior Standards Implementation

## The standards listed below have been replaced by a newer set of standards.

## Please go to Current 2nd Grade Math Standards for current resources.

## Number and Operations

Count a set of objects to 100 by 2's, 3's, 5's, or 10's.

2.1.1 a

- Ant Parade - match numerals to numbers of ants in a concentration style game
- Connect the Dots - count by ones or fives with this FunBrain game
- Connect the Dots - make a dog by counting by fives with this FunBrain game
- Count by 10's - from Free Math Test
- Ghost Blasters - Click on ghosts that are multiples of ten . Click as many times as you can, you can get multiple points on each ghost.
- Give the Dog a Bone - use a hundreds charts to find numbers
- How Much Money is This? - count by 10's (dimes) up to $1.00
- Rabbits - recall multiplication facts using a hundreds chart
- Sequences - Count by 2's, 5's, or 10's or customize or print worksheets &
- Splat Square - This hundreds chart allows the selection of any number by clicking a color to splat then clicking on the number.
- Spooky Sequences - One of the ghosts is missing a number. Click on the numbers along the bottom to enter the right number in the sequence. one digit numbers (by ones ) | two digit numbers (by ones) | three digit numbers (by ones) | counting by twos | counting by fives | counting by tens | backward by ones | backward by twos | backward by fives | backward by tens
- Super Sequencer - Input the starting number of a sequence, the increment (amount of change), and then select the speed with which the next numbers will be displayed as your students predict the next number
- Three is a Magic Number - learn multiples of three
- Worksheet Generator One Hundred Chart - Print your own one hundred chart. A one hundred chart can be used to teach counting or skip counting.
Count forward and backward by one from any number less than 999.

2.1.1 b

- Counting - to 10, to 20, to 50, customize number and blanks - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- The 'Less than' Lake Maze - Help Monster cross the lake by jumping from one stepping stone to the next. The next number on a stone must be smaller than the one before.
- The 'More than' Marsh Maze - Help Monster cross the marsh by jumping from one island to the next. The next number on an island must be more than the one before.
- One False Move - Start with the lowest number and work your way up . If you don't know where to start, try using the map.
- One False Move - Start with the highest number and work your way down . If you don't know where to start, try using the map.
- Space Hopscotch - Count forward from 6 to 24 by 2's and then count backward from 24 to 6 by 1's.
Read and write numerals to 999.

2.1.1 c

- Count Us In - 12 activities that help with understanding basic math. - number recognition, ordinal numbers, sorting, patterns, addition, subtraction,time
- Cookie Dough - type the word that corresponds to the numeral

- Do the reverse and type in the number that corresponds with the word.
- Find the missing number - find the butterfly that holds the missing number
- Numeracy Games - many games dealing with numeration
- Really Big Numbers - Enter a number then click the Click here button to see how to write it. Use numbers appropriate to this spi.
- Word Game - [ click Continue to play the game ] select and combine words that spell out a given number, numbers from 20 to 99 used
Identify the place value of a digit in numbers to 999.

2.1.1 d

- Expanded Form of Numbers - write the numeral the expanded form represents
- Grouping by 10s and ones - click on ten ones and press group to make groups of ten and determine the numeral
- Identifying Place Values - identify the place value of the digits
- My Place - learn that the value of a digit is determined by the placement of that digit
- Numbers in Expanded Form - numbers are shown in expanded form, select which answer is the correct number
- Partitioning numbers - select the number that represents the partitioned numeral
- Place Value - this video lesson explains place value in whole numbers and decimal numbers, and then gives your students the chance to show understanding on a quiz.
- Place Value - Enter your own number or generate a random number, then answer questions about the place values.
- Place Value Party - Choose any ages to start, then trade candles until both cakes have the same number.
- Specific Place - find the numeral in a specific place value
- Practice place value at FreeMathTest - numbers from .10 to .99 , numbers 10 to 99 , numbers 100 to 999
Identify odd and even numbers to 100.

2.1.1 e

- Color odd and even numbers - four different pictures are available
- Dragon Eggs - Rescue the dragon's eggs by flying around the sea,deciding if the numbers are odd or even.
- Ghost Blasters (Odd) - Click on ghosts that are even numbers. Click as many times as you can, you can get multiple points on each ghost.
- Ghost Blasters (Even) - Click on ghosts that are even numbers. Click as many times as you can, you can get multiple points on each ghost.
- Me Too - classify whole numbers as odd or even
- Odd or Even - numbers up to 10, numbers up to 30, numbers up to 50, numbers to 100, customize for any upper number you select - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Twins - identify odd and even numbers
Use concrete models or pictures to show whether a fraction is less than 1/2, more than 1/2, or equal to 1/2.

2.1.1 f

- Flowering Fractions - understand common fractions by using model representations
- Fraction Bar - add a bar then break it into fractions, decimals, or percents
- I Want My Half - understand the concrete and symbolic representations of fractions
- Kids and Cookies - a cute interactive site using cookies and fractions
- Old Egyptian Math Cats Fractions - Add fractions like a true Old Egyptian Math Cat!
- Percent Paint - students paint blocks on a 10x10 grid - use this as a whole group activity and ask students to paint fractions or percents.
Match the spoken or written word names and concrete or pictorial representations (parts of regions or parts of sets of objects) of halves, thirds, and fourths.

2.1.1 g

- I Want My Half - understand the concrete and symbolic representations of fractions
Compare the unit fractions 1/2, 1/3, and 1/4.

2.1.1 h

- Fabulous Fractions - learn the concept of equal parts as related to fractions
- Fraction Flags - design a flag using halves or quarters
- Fraction Flags - design a flag using thirds
- Fraction Match - find the fraction that matches with the correct graph [concentration style game]
- Fraction Monkeys - [ click Continue to play the game ] place fractions on a number line by hanging monkeys from loops [ easy and hard levels available ]
- Fraction Painting - use a 2x2 grid , 3x3 grid , 4x4 grid , 5x5 grid , or a 6x6 grid
- Fractions II - fourths
- Fraction Review - beginning fractions
- Identify With Circles - fraction practice where student types in numerator and denominator
Determine the value of a collection of coins up to $1.00.

2.1.1 i

- Adding Nickels and Pennies - find the sum of the coins
- Adding Dimes and Pennies - find the sum of the coins
- Adding Dimes, Nickels and Pennies - find the sum of the coins
- Change It ! - practice adding up all of your coins - You select the number of problems that you want to use as well as the number of pennies, nickels, dimes, quarters, and half dollars that may appear in each problem. You may elect to express your questions in words only, coins only, or a combination of both
- Change Maker - Figure out how many of each bill or coin that you expect to get back when you pay for something. Select Easy for problems involving less than $1.00
- Coins for Candy - identify, know the value of, and compare the values of a penny, nickel, and dime
- Counting Change - a match game, counting coins to find amount of change and matching it with numerical number
- Counting Coins - the collection of coins may sometimes be up to $2.00
- Counting Coins - up to 5cents, up to 20cents, up to 50cents, up to 99cents, customize amounts - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Counting Money - Help Kristen, Ryan, or Evan with their shopping. Six pages of problems are available; three easy and three hard.
- Discovering Coin Values - a target amount is given and students drag coins to the slide to equal that amount [values over $1.00 used occasionally]
- Grandpa's Game - count money
- How Many Cents - count the coins to show the total number of cents
- How Much Money is This? - count by 10's (dimes) up to $1.00
- Learn to Count Money - add the value of the coins (teacher can set this activity easy or harder)
- Let's Count Money (
introduction and instructions) followed by a quiz - coin value problems occasionally display amounts greater than 50cents but never more than $1.00. This site uses both sides of the coins! [caution: some of the reverse side coin images are slightly smaller]- Making Change from One Dollar - amounts are shown on a cash register, find the correct change
- Money Drills (from Room 108) - drag coins, one at a time, to equal the amount given [this site has a pop-up message after each coin moved]
- Money Flashcards - Coins and bills, or just coins, are displayed and students determine the value. Best used as a whole class review; this is not a game with an end. Occasionally values greater than $1.00 are displayed.
- Money Review - Three levels for counting money review
- Piggy Bank - As coins drop students click on the right coins to equal some target amount. Two games are available; easy or hard.
- Spending Spree - Pick the item that you would like to buy. Then choose the correct amount of coins you need to pay for that item. This game has 10 questions.
- Too Much Noise - Students determine the fewest number of coins needed to produce a given amount.
- Tutorials - select the coin (or combinations) you want your students to practice
- U. S. Coins (printables from Enchanted Learning) - Scroll a bit more than halfway down this page until you see Adding and Subtracting Coins (Printouts) . Look below that to see about six dozen printables of various difficulty.
- Which Coin? - Students select the coin that completes the total needed.
Order and sequence whole numbers less than 1000.

2.1.1 j

- Ordering Numbers to One-Hundred - arrange numbers from least to greatest by clicking and dragging the numbers
- Ordering Three-digit Numbers - arrange numbers from least to greatest by clicking and dragging the numbers
Compare two numbers using the appropriate symbol (i.e., <, >, and =).

2.1.1 k

- Alligator Lunch - learn greater than and less than symbols
- Compare - 1-9, 1-20, 10-99, 100-999, customize the range of numbers - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Compare It ! - Students can practice comparing numbers, objects, or words using Greater Than, Less Than, Equal, Greater Than or Equal, Less Than or Equal, and Not Equal operators. You can have them compare words only, symbols only, or use both words and symbols
- Compare Numbers - choose the red button for numbers to 1,000 or the orange button for numbers to 10,000
- comparing one digit numbers | comparing two digit numbers | comparing three digit numbers
- Practice comparison at FreeMathTest - numbers from .10 to .99, numbers from .100 to .999, numbers from 0 to 10, numbers from 10 to 50, numbers from 50 to 100.
- Using Comparison Symbols - choose the correct comparison symbol
- Using Comparison Symbols with Number Sentences - simple number sentences are used, select <, >, or =
- Wabbit Words - Read the sentence and then find a carrot with the appropriate number, e.g. 'Less then 26' choose any carrot that is less than 26.
Represent numbers to 999 in flexible ways using a variety of materials (e.g., 23 as 23 ones, 1 ten and 13 ones, and/or 2 tens and 3 ones).

2.1.1 l

- Base 10 Blocks - Exploring whole decimal numbers with blocks
Use and match numerals to ordinal numbers through twentieth.

2.1.1 m

- Count Us In - 12 activities that help with understanding basic math. - number recognition, ordinal numbers, sorting, patterns, addition, subtraction,time
- Cookie Dough - type the word that corresponds to the numeral

- Do the reverse and type in the number that corresponds with the word.
- Find the missing number - Find the butterfly that holds the missing number.
- Get In Line - explore ordinal positions
- Ordinal Numbers - If ten students ran a race, we would say that the student that ran the fastest was in first place, the next student was in second place, and so on.
- Match Cardinal and Ordinal numbers - click and drag
- Match Cardinal and Ordinal numbers - concentration style game
- Numeracy Games - many games to choose from
- Ordinal Balloons - click on the balloons and put them the right carts
- Ordinal Numbers - [ spanish language ] put them in order.
- Practice Ordinal Numbers - name the ordinal
- Twelve Cats in a Row - eleven of them are black, you pick which ordinal number describes the orange cat
Develop a story problem that illustrates a given addition or subtraction number sentence.

2.1.2 a

- Four dozen word problems - problems only, no answers, not interactive
- Matching Pictures to Number Sentences - study each picture and then click on the number sentence that describes the picture
- My Backpack - Students add columns and find missing addends using data generated from a chart.
- Show Me The Money - add using columns
- Word Problems for Grades 1-5 - This KidZone math page has four second grade problems. Each time you open a new page the site generates new values for the problem.
- Word Problem Practice - problems in addition, subtraction and more ( warning: many pop-up ads on this site)
Use the number line to demonstrate addition and subtraction.

2.1.2 b

- Decimal Number Line - Identify and estimate decimal fractions on a number line. Move the pointer along the line, find a number between two others by looking at the next decimal place. Click on "Use the decimal number lines tool" at the bottom of the page.
- Worksheet Generator - Print your own number line worksheets, you decide on the starting and ending numbers and the increment.
Write and identify number sentences that describe situations involving addition and subtraction.

2.1.2 c

- It's A Fact - practice basic subtraction facts
- Matching Pictures to Number Sentences - study each picture and then click on the number sentence that describes the picture
- What number would complete this sentence? - find the missing addend
Write and explain related addition and subtraction sentences.

2.1.2 d

- Matching Pictures to Number Sentences - study each picture and then click on the number sentence that describes the picture
Solve story problems involving numbers to 100.

2.1.3 a

- Groups Of Dogs - use arrays to understand the meaning of multiplication (designed for 3rd grade)
- Making Change - count money and make change (designed for 3rd grade)
- Math Hoops -. All word problems use whole numbers but the problems range from single step addition to multi step equations. There are also problems that require students to interpret remainders. Students who answer 5 questions correctly get a chance to play some basketball.
- Math Playground - Hundreds of self-checking word problems for students in grades 1 to 6. There are currently 675 word problems available. They will be adding more content throughout the school year
- My Backpack - add columns and find missing addends using data generated from a chart
- Thinking Blocks - (an engaging, interactive math tool to help students learn how to solve multi step word problems; addition & subtraction, multiplication & division, and ratio & proportion) Thinking Blocks encourages students to look beyond the surface to discover the concepts and relationships that are at the core of every math problem.
Use calculators in problem-solving situations.

2.1.3 c

- Mean Green Machine - use a calculator to find and use the average, or mean, of a set of data
Add and subtract efficiently and accurately with single-digit numbers up to sums of 18.

2.1.3 d

- Adding - 1-3, 2-5, 3-8, 5-10, 5-20, 10-99, customize for any number range - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Ambleweb Addition Machine - select Level 1 to practice this spi
- Ambleweb Subtraction Machine - Students choose a skill level, type the answer, and then check for correctness.
- Are You a Math Magician? - Two levels of practice with several operations are available; addition, subtraction, multiplication or division. Mixed practice is also available; addition and subtraction, multiplication and division, or a mix of all four. Select the level appropriate for this spi. Addition game & Subtraction game also available
- Balloon Pop Subtraction for Kids - Three levels for review
- Ghost Blasters II (addition practice) - (two players) Students must "blast" a pair of ghosts whose sum equals some number specified before the game begins. Sums from 5 to 99 can be set.
- Math Facts from Harcourt School - ( K-3 ) Content available at the site: Addition and Subtraction sums and differences to 10, 12, and 20; Multiplication and Division facts to 5, to 10, to 12. Verbal instructions are included and students can select timed or untimed. (30 facts)
- Speed Grid: Addition - (level 1) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Speed Grid: Subtraction - (level 1) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Subtraction - 1-3, 2-5, 3-8, 5-10, 5-20, 10-99, customize for any number range - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Sum Fun - practice addition facts to 18
- Sum Sense (Addition) - Students practice single digit addition by dragging numbers to complete the sentence.
- Sum Sense (Subtraction) - Students practice single digit subtraction by dragging numbers to complete the sentence.
- Test the Toad - Add or subtract numbers from 1 to 15 by clicking on the numbered person.
- Tic-Tac-Toe Squares -Addition - Numbers less than 50
- Tic-Tac-Toe Squares -Subtraction - Numbers less than 10
Adding

2.1.3 d

- Adding - 1-3, 2-5, 3-8, 5-10, 5-20, 10-99, customize for any number range - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Arithmetic Four - (A game like Connect Four) A pair of students must answer arithmetic questions ( addition , subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions
- Addition Surprise - fill in sums in the addition grid to complete a surprise picture
- Ambleweb Addition Machine - three levels available
- Are You a Math Magician? - Two levels of practice with several operations are available; addition , subtraction, multiplication or division. Mixed practice is also available; addition and subtraction, multiplication and division, or a mix of all four. Select the level appropriate for this spi. Addition game also available
- Ghost Blasters II (addition practice) - (two players) Students must "blast" a pair of ghosts whose sum equals some number specified before the game begins. Sums from 5 to 99 can be set.
- Hidden Picture - the answer is given and you must select the problem to reveal a hidden picture. Good for a pair of students together
- Math Facts - timed math facts, or select practice mode without the timer
- Math Mastery - select operation and practice your facts
- Mad Math Minutes - This is a great way to practice basic math skills in addition , subtraction, multiplication, and division. You pick the number of and types of problems that you want to practice. You may also choose the largest number used in a problem as well as the number of terms (numbers) used
- Math Mayhem - a fast paced program where you can select addition problems. Most are two digit problems.( warning: turn sound to mute; this activity gets very loud!)
- Mental Math - select Addition to practice your skills
- Paint Brush Math - Paint by Numbers (but figure out the equations to figure out what the numbers actually are.)
- SpacyMath - One must sign in, but you can use the same log on for everyone in the class. Choose from addition or subtraction
- Speed Grid: Addition - (level 1) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Sum Sense (Addition) - Students practice single digit addition by dragging numbers to complete the sentence.
- Timed Addition Facts - At end of 60 seconds this page shows the score and answers to problems.
- The Timernator - race against the clock - add as fast as you can in 60 seconds [ subtraction, multiplication, and division also available ]
Subtracting

2.1.3 d

- Are You a Math Magician? - Two levels of practice with several operations are available; addition, subtraction , multiplication or division. Mixed practice is also available; addition and subtraction, multiplication and division, or a mix of all four. Select the level appropriate for this spi. Subtraction game also available
- Arithmetic Four - [ A game like Connect Four ] A pair of students must answer arithmetic questions (addition, subtraction , multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions
- Bowling Subtraction - bowl down pins by answering subtraction problems
- Fill-in Equation - supply the missing number in subtraction equations
- Math Mayhem - a fast paced program where you can select subtraction problems ( warning: turn sound to mute; this activity gets very loud!)
- Mad Math Minutes - This is a great way to practice basic math skills in addition, subtraction , multiplication, and division. You pick the number of and types of problems that you want to practice. You may also choose the largest number used in a problem as well as the number of terms (numbers) used
- Mystery Picture - subtract and find the mystery picture under the tiles (subtraction facts to 20)
- Mystery Picture - subtract 2 digit numerals, no borrowing.
- Mixed Review - addition and subtraction of three numbers, find answer to reveal mystery picture. ( warning: very difficult, student will need pencil and paper)
- Number Families - fill in the missing numeral when given the family of addition and subtraction values

- More practice can be found here in the relationships between addition and subtraction
- Speed Grid: Subtraction - (level 1) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Subtraction - 1-3, 2-5, 3-8, 5-10, 5-20, 10-99, customize for any number range - from FreeMathTest

- Worksheets to print are also available supporting instruction of this topic
- Sum Sense (Subtraction) - Students practice single digit subtraction by dragging numbers to complete the sentence.
- The Timernator - race against the clock - subtract as fast as you can in 60 seconds [ addition, multiplication, and division also available ]
Add and subtract two-digit whole numbers using a variety of strategies and representations.

2.1.3 e

- Ghost Blasters II (addition practice) - [ two players ] Students must "blast" a pair of ghosts whose sum equals some number specified before the game begins. Sums from 5 to 99 can be set.
- Math Baseball - Complete the Number Sentence. - Addition - Numbers less than 10
- Math Baseball - Subtraction - Numbers less than 5
Explain and justify solution strategies used in problem solving.

2.1.3 f

- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop
- School Store - subtract using decimals as they make change. Regrouping will be required
- Too Much Information - determine if irrelevant information is included when solving a problem
Use estimation to justify whether the answer to a computation is reasonable.

2.1.3 g

- Guess the Number - developing skills in halving and estimation
- Walrus World - learn strategies for solving real world problems
## Review Help

Practice Tests Interactive Practice Games

- Number Gym - This software company provides games as demonstration copies of their commercial product. All games are labeled "Demonstration" but are working copies and can be used by your students.
Daily Questions

- Daily Questions - to be given three times per week to serve as a ten to fifteen minute (approximate) review of practice test items and critical thinking (a 134 page document)
2nd Grade TAAS Practice Worksheets National Library of Virtual Manipulatives

- Number & Operations (Grades Pre-K-2)

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