2nd Grade Common Core Math

Hand solving math equations on white paper

Numbers written in blue sticky notes

Kid sitting at classroom

Second Grade Numbers and Operations Base Ten 

What your student will learn?

Standard

Understand that the three digits in a three-digit number represent hundreds, tens, and ones. (2.NBT.1)

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)

What Does It Look Like?
What Does It Mean?

Vocabulary

  • Skip Count: to count in equal increments by 2s, 3s, 4s, 5s, or 10s

  • Expanded Form: a way of writing numbers to show place value (346=300+40+6)

  • 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.

Learning Links

Second Grade Operations and Algebraic Thinking 

What your student will learn?


Standard

Add and subtract within 100 to solve one- and two-step word problems. (2.OA.1)

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)

What Does It Look Like?
What Does It Mean?

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.

  • Difference: The answer to a subtraction problem. In 8 – 3 = 5, 5 is the difference.

  • Sum: The answer to an addition problem. In 2 + 3 = 5, 5 it is the sum.

  • Equal sign (=): A symbol used to show that two amounts have the same value.
    384 = 384

  • 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

  • Regroup: To exchange amounts of equal value to rename a number.

  • Decompose: To break a number into smaller parts to simplify computation. Example: 15 = 10 + 5.

  • Compose: To put decomposed numbers back together. 10 + 5 = 15.

  • Array: An arrangement that shows objects in rows and columns.


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.

Learning Links

 Second Grade Measurement and Data

What your student will learn?

Standard

Measure the length of an object by selecting and using appropriate tools (2.MD.1)

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)

What Does It Look Like?
What Does It Mean?

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

  • Centimeter: a metric unit of length, about the width of your finger

  • Meter: a metric unit of length equal to 100 centimeters

  • Estimate: a number close to an exact amount

  • Length: the distance from one point to another

  • Equation: a number sentence with an equal sign, the amount on one side
    of the equal sign has the same value as the amount on the other side

  • Number Line: a diagram that represents numbers as points on a line

  • Analog Clock: a clock with numbers 1 to 12 around the face and rotating
    hands to show the hour, minutes, and seconds

  • Digital Clock: a clock that uses numerals only to show the time

  • Minute: a unit of time equal to 60 seconds

  • Hour: a unit of time equal to 60 minutes

  • Quarter Hour: a unit of time that measures fifteen minutes

  • Half Hour: a unit of time that measures thirty minutes

  • Half Past: thirty minutes past the hour

  • Penny: a coin worth 1 cent

  • Nickel: a coin worth 5 cents

  • Dime: a coin worth 10 cents

  • Quarter: a coin worth 25 cents

  • Data: Information that has numbers

  • Line Plot: a graph showing frequency of data on a number line

  • Table: an organized way to list data

  • Bar Graph: a graph that uses the height or length of rectangles to compare data

  • Picture Graph: a graph that uses pictures to show 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.

Learning Links

Second Grade Geometry

What your student will learn?

Standard

Recognize and draw shapes with specified attributes such as number of sides, angles, or faces. (2.G.1)

Partition a rectangle into rows and columns and count to find the total. (2.G.2)

Partition circles and rectangles into two, three, or four equal shares. (2.G.3)

What Does It Mean?
What Does It Look Like?

Lesson Set 1
Lesson Set 2
Lesson Set
Lesson Set

Vocabulary

  • Cube: a solid with 6 faces all the same size

  • Closed Figure: a plane figure that completely surrounds an area

  • Edge: the line segment where two faces of a solid figure meet

  • Face: a flat surface on a solid figure

  • Figure: a shape in 2 or 3 dimensions

  • Half: 2 equal parts

  • Hexagon: a figure with 6 sides

  • Partition: to divide into parts

  • Pentagon: a figure with 5 sides

  • Open Figure: a plane figure that does not completely enclose an area

  • Quadrilateral: a four-sided figure

  • Thirds: three equal parts

  • Triangle: a figure with 3 sides

  • Vertex: where two line segments, lines or rays meet to form an angle

  • Whole: all of the parts

Activities At Home

  • Look for 2-D and 3-D shapes around your house and community.

  • Compare 2-D and 3-D shapes. Look for the 2-D shapes that make up the 3-D shapes.

  • Talk about the shapes of foods that are eaten. For example, oranges are spheres.

  • Talk about the shapes of containers in stores. For example, cans are cylinders and boxes are rectangular prisms or cubes.

Learning Links