 # Second Grade Math

Welcome to the 2nd grade SMART Pages! Find information on what your child is learning, vocabulary, activities for home, and learning links!

1st Quarter 2nd Quarter Numbers & Operations in Base TenMeasurement & DataOperations & Algebraic Thinking Extending Base Ten UnderstandingBecoming Fluent with Addition and Subtraction Operations & Algebraic ThinkingMeasurement & Data Becoming Fluent with Addition and SubtractionUnderstanding Measurement, Length, and Time Measurement & DataNumbers & Operations in Base TenGeometry Applying Base Ten UnderstandingUnderstanding Plane & Solid Figures GeometryMeasurement & DataOperations & Algebraic Thinking Understanding Plane &Solid Figures, Developing MultiplicationShow what we know!

## NUMBERS & OPERATIONS IN BASE TEN

### What your child will learn

 Understand that the three digits in a three-digit number represent hundreds, tens, and ones. (2.NBT.1) Quarter 1 and 2 Count within 1000; skip-count by 5s, 10s, and 100s. (2.NBT.2) Read and write numbers to 1000 with numerals, number names, and expanded form (2.NBT.3) Compare two three-digit numbers using >, =, and <. (2.NBT.4) Fluently add and subtract within 100. (2.NBT.5) Add up to four two-digit numbers. (2.NBT.6) Add and subtract within 1000. (2.NBT.7) Mentally add or subtract 10 or 100 to a number 100-900. (2.NBT.8) Explain why addition and subtraction strategies work. (2.NBT.9) Quarter 1 and 2 Quarter 1 and 2 Quarter 1 and 2 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3

### Vocabulary

Skip Count: to count in equal increments by 2s, 3s, 4s, 5s, or 10s Numeral: a symbol used to represent a number

### Activities At Home

• Skip count when counting groups of nickels and dimes.

• Count in a pattern while doing a rhythmic or repeated task – stirring pancake batter, brushing hair, putting away groceries, walking.

• Roll two dice to make a two digit number. Subtract it from 99 or 100.

• Represent two digit numbers with popsicle sticks - make bundles of ten for the tens and use single sticks for the ones.

• Roll dice to make two or three digit numbers with a partner. See who can make the larger number.

• Add all of the digits of your house number together.

• Compare prices of various items (gas, toys, etc) to find the lowest amount.

• Make numbers or find numbers on labels and compare them.

• Find or roll numbers and write them in expanded form.

• Find or roll numbers and tell which place value each digit represents.

Grouping in 5's and 10's Compare Numbers Place Value Blocks Equal or Not Equal Make Combinations of Ten Skip Count Sum Sense Skip Counting Even or Odd Adding and Subtracting with Base Ten Blocks

## MEASUREMENT & DATA

### What your child will learn

 Measure the length of an object by selecting and using appropriate tools (2.MD.1) Quarter 2 and 3 Measure the length of an object twice, using length units of different lengths (2.MD.2) Estimate lengths using inches, feet, centimeters, and meters. (2.MD.3) Measure to compare two objects. (2.MD.4) Use addition and subtraction to solve word problems with lengths. (2.MD.5) Show whole numbers, sums, and differences on a number line. (2.MD.6) Tell and write time to the nearest five minutes. (2.MD.7) Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies. (2.MD.8) Gather measurement data and show it on a line plot. (2.MD.9) Draw a picture graph and a bar graph to show data with up to four categories. (2.MD.9)Draw a picture graph and a bar graph to show data with up to four categories and solveproblems with the data. (2.MD.10) Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 2 and 3 Quarter 1, 2, 3, and 4

### Vocabulary

 Inch: a customary unit of length Yard: a customary unit of length equal to 36 inches or 3 feet Foot: a customary unit of length equal to 12 inches Meter: a metric unit of length equal to 100 centimeters Length: the distance from one point to another Number Line: a diagram that represents numbers as points on a line Digital Clock: a clock that uses numerals only to show the time Hour: a unit of time equal to 60 minutes Half Hour: a unit of time that measures thirty minutes Penny: a coin worth 1 cent Dime: a coin worth 10 cents Data: Information that has numbers Table: an organized way to list data Picture Graph: a graph that uses pictures to show data Centimeter: a metric unit of length, about the width of your finger Estimate: a number close to an exact amount Equation: a number sentence with an equal sign, the amount on one sideof the equal sign has the same value as the amount on the other side Analog Clock: a clock with numbers 1 to 12 around the face and rotatinghands to show the hour, minutes, and seconds Minute: a unit of time equal to 60 seconds Quarter Hour: a unit of time that measures fifteen minutes Half Past: thirty minutes past the hour Nickel: a coin worth 5 cents Quarter: a coin worth 25 cents Line Plot: a graph showing frequency of data on a number line Bar Graph: a graph that uses the height or length of rectangles to compare data

### Activities At Home

• Look at a TV guide and locate the time a favorite show starts. Have your child find that time on an analog clock.

• Look through an ad in the paper to locate an item your child would want (less than &10.00). Have your child count out that much money, then ask them to make change from a \$10.00 bill.

• Have your child pick out two or three items in an ad, then add the amounts together to see how much the items would cost altogether.

• Estimate the lengths of various objects around the house, such as a table, a book, a toothbrush, etc. Next, Measure the same objects using a ruler with inches and centimeters to compare the estimate to the actual length.

• Measure the four sides of a square or rectangular table using inches, and then add the four sides together to find out how long the table is around.

• Measure two different book lengths using centimeters. Compare the two lengths and determine how much longer one book is than the other.

• Give your child various amounts of money to count, using dollars, quarters, dimes, nickels, and pennies.

• Survey various family members about their favorite sport, color, ice cream flavor, or pizza topping. Create a bar graph to show the data.

Measure with Units Match Prices with Coins Measure Weight Probability and Graphing Create a Bar Graph Create a Graph Representing Data Choose the Best Measurement Tool Build a Bar Graph Analog and Digital Time

## OPERATIONS & ALGEBRAIC THINKING

### What your child will learn

 Add and subtract within 100 to solve one- and two-step word problems. (2.OA.1) Quarter 1 and 2 Fluently add and subtract within 20 using mental strategies.By the end of Grade 2, know all sums of two one-digit numbers. (2.OA.2) Determine odd or even numbers and write an equation to express an even number. (2.OA.3) Use addition to find the total number of objects in rows and columns. (2.OA.4) Quarter 1 and 2 Quarter 3 and 4 Quarter 3 and 4

### Vocabulary

 Addition: To join two or more groups. 2 + 3 = 5 Subtraction: To find the difference when two groups are compared or to find out how many are left when items are taken away from a group. Addend: A number that is added to another in an addition problem. In 2 + 3 = 5, 2 and 3 are addends. Sum: The answer to an addition problem. In 2 + 3 = 5, 5 it is the sum. Number Sentence: A sentence that includes numbers, operation symbols ( +,- ), and a greater than or less than symbol ( >,< ) or equal sign. 5 + 3 = 8 25 < 32 Decompose: To break a number into smaller parts to simplify computation. Example: 15 = 10 + 5. Array: An arrangement that shows objects in rows and columns. Difference: The answer to a subtraction problem. In 8 – 3 = 5, 5 is the difference. Equal sign (=): A symbol used to show that two amounts have the same value.384 = 384 Regroup: To exchange amounts of equal value to rename a number. Compose: To put decomposed numbers back together. 10 + 5 = 15.

### Activities At Home

• Roll single digit numbers and add them together.

• Roll 2-digit or 3-digit numbers and add them together.

• Add all the digits of your house number together.

• Make a train with Legos or colored blocks. Write a number sentence for the different colors in the train.

• Represent two digit numbers with popsicle sticks – make bundles of ten for the tens and use single sticks for the ones. Add the piles together.

• Use small items (counters, beans, small toys) to represent number sentences. Use index cards to make +, -, <, >, and = symbols. Show a number sentence with a missing element: 7 + ___ = 12. Have your student find the missing addend.

• Add the price of two items at a store.

• Compare gas prices to find the lowest amount.

• Roll a 2-digt number and subtract it from 99 or 100.

• Start with 100 counters (beans, pennies, etc.) and roll two dice to make a 2-digit number. Subtract counters until you get to 0.

• Give your student an addition or subtraction number sentence and ask them to make up a story problem to go with the number sentence.

• Look for items that are in repeated sets or groups – panes in a window, pickets on a fence, sodas in a six-pack, wheels on cars or bicycles.

• Make a physical array with counters and record on paper using symbols.