Overview Continued
Students will better understand counting to 100 by 1’s, 2’s, 5’s, and 10’s, place value for ones and tens, odd/even numbers to 10, coin combinations to $1.00, and addition/subtraction facts to 20 including doubles. Students will also gain greater understanding of estimation, ordinal numbers (first, second, third), and the concepts of greater than, less than, and equal to. Second graders will use shapes to identify, describe, draw, and compare geometric shapes, explore and describe color, shape, and size of shapes, and use shapes to create and reproduce designs and patterns, explain the answers to math problems, and demonstrate the difference between adding and subtracting.

Students will understand more math vocabulary and practical uses of problem solving words and strategies, more complex geometric concepts and patterns, a variety of measurements, and how to explain their mathematics thinking and processing. Toward the end of the year, second graders will learn to communicate in mathematics, compute in the four basic operations, place value, odd and even numbers, data/predictions/probability, coordinate planes, and perimeter and area.

Enduring Understandings are important ideas that students should carry with them years beyond the instruction received this year.

• Number fluency leads to ease of adding and subtracting in the context of real life situations.

• We need number sense and math words to communicate reasoning and to find reasonable solutions.

• Recognizing patterns helps us make sense of our world.

• Geometry builds our world.

• Estimation and computation are vital math tools.

• In order to communicate solutions to problems, we must be able to understand and use the language of math.

• A sense of number is necessary to communicate mathematical reasoning and to find reasonable solutions and predict outcomes.

• Numbers can be represented, ordered, and communicated in many different forms.

• Graphs are tools used to clarify data and data displays helps us make sense of information.

• Recognition and expression of size communicates measurement relationships.

• Measurement takes different forms.

• Computation and fluency in basic mathematical operations are vital skills.

• There are many ways to solve a problem.

• Multiplication is repeated addition.

• Addition and subtraction are related.

• Mathematics is dependent on place value.

• Appropriate tools and units are needed to measure.

Essential Questions are most important “big picture” questions students should be able to answer after completing learning activities.

• How would you count a set of coins?

• What happens to number patterns greater than 100?

• What are the patterns in even and odd numbers?

• At what times do you wake up every day? Go to school? Eat supper? Go to bed?

• How are addition and subtraction the same? How are they different?

• How does the value of a number change depending on where the digits are placed?

• How can knowing geometry words help us recognize, identify, and sort shapes by attributes?

• How does having a sense of number help us find solutions and understand if our solutions are accurate?

• What is a pattern?  Where do we find patterns?  What can patterns reveal?

• What is geometry? How do we use geometry in our everyday lives? How does geometry build our world?

• Why is it important to learn math vocabulary?

• In what ways can numbers be communicated, represented, and ordered?

• What are the different ways to communicate solutions to problems?

• What essential components are needed to solve problems?

• What are the graphic tools we use to clarify data, and when do we use them?

• Why are computation and fluency in basic mathematical operations vital skills?

• How is a fraction part of a whole?

• How can we measure length, liquids, and weight?

• How can you show the difference between addition and subtraction?

• How does an array show repeated addition?

• How does a digit's place in a larger number effect its value?

• How do predictions and estimations help us determine if our answers are reasonable?

• Why do we need to be fluent at computation?

CSAP Tested Standards  Highest Frequency High Frequency Other Standards and E-Skills Highest Frequency = the timing, intensity and level of accountability is extremely high because mastery of these skills will must be demonstrated at this grade level. High Frequency = the timing, intensity and level of accountability is high because mastery of these skills is expected at this grade level. Other Standards and E-Skills = the timing, intensity, and level of mastery are not urgent. It should be introduced during this time so students can experience the concept and return in future quarters to strive towards mastery.

Standard 1:  Number Sense - August
Read, write, and order numbers to 100 (count using whole numbers)
Count whole numbers by 1s, 2s, 5s, 10s
Identify place value (ones and tens)
Identify odd/even numbers to10
Adds coins to $1.00
Practice counting combinations of coins (pennies, nickels, dimes, and quarters)
Know coin values (penny, nickel, dime, and quarter)
Understand and use ordinal numbers (first – tenth)
Standard 2:  Algebra and Patterns - August
Identify, describe, create, and extend patterns (including patterns in shapes)
Introduce number patterns ~ counting by 1s, 2s, 5s, 10s
Standard 4:  Geometry - August
Identify, describe, draw, and compare 2-dimensional shapes (Introduce pattern block templates)
Standard 5:  Measurement - August
Tell time to the hour and half hour
Standard 6:  Computation - August
Know addition and subtraction facts to and from 20
Review and practice math facts to 10
Review and practice double facts

Standard 1:  Number Sense - September
Read, write and order numbers in the 100s
Know different names for the same number (5+5=10 and 2+8=10)
Identify odd/even numbers to10
Understand greater than, less than, equal to (use whole numbers)
Understand greater than, less than, equal to (use basic addition and subtraction facts)
Add coins to $1.00 (practice counting combinations of coins: pennies, nickels, dimes, quarters)
Count by 1s, 2s, 5s, 10s
Understand and use ordinal numbers (first to tenth)
Use the terms of estimation correctly (about, near, closer to, a little less than)
Standard 2:  Algebra and Patterns - September
Identify, describe, create, and extend number patterns (fill in the missing numbers in a pattern).
Identify, describe, create, and extend patterns (patterns in shapes and counting by 1s, 2s, 5s, 10s).
Standard 4:  Geometry - September
Label shapes appropriately
Standard 5:  Measurement - September
Tell time to the hour and half hour
Identify the correct tools to measure length, weight, temperature, time
Standard 6:  Computation - September
Know addition and subtraction facts to and from 20 (review/practice math facts to 10/doubles)
Use number models and manipulatives to solve problems (story problems with addition/subtraction to 10)

Standard 1: Number Sense - October

Identifies place value (ones, tens, hundreds)

 Identifies odd/even numbers to 50

Knows different names for the same number

Understand greater than, less than, and equal to

Using whole numbers

Using basic addition and subtraction facts

Adds coins to $1.00 – counting coins, coin combinations, equivalencies of coins

Standard 2: Algebra and Patterns - October

 Illustrates number sense using pictures

Identifies, describes, creates, and extends number pattern; filling in missing numbers

Standard 3: Statistics and Probability - October

Read and interpret data in bar and picture graphs

Standard 4: Geometry - October

 Identifies and sorts geometric shapes by various characteristics

Recognizes and identifies basic geometry terminology

Standard 5: Measurement - October

Reads the temperature on a thermometer

Measures to the nearest inch and centimeter

Estimate measurement with nonstandard units

Measure with a ruler to check estimation

Standard 6: Computation - October

Adds and subtracts 2-digit numbers (no borrowing or regrouping)

Number stories using real-world situations

Use the correct operation (addition or subtraction)

Use the appropriate method to solve the problem

Standard 1:  Number Sense - November
Add coins to $1.00
counting coins
coin combinations
equivalencies of coins

Standard 2:  Algebra and Patterns - November
Use math language to describe patterns

Standard 4:  Geometry - November
Identify, describe, draw, and compare geometric shapes

Explore and describe attributes

Use geometric figures to create and reproduce designs

Investigate and predict which pattern block shapes can be formed from smaller pattern block shapes

Learn common polygons
Recognize and identify basic geometry terminology
Label shapes appropriately
Identify parallel lines, line segments, arrays, and symmetry
Introduce 3-dimensional shapes
Recognize 2 and 3-dimensional shapes in the real world

Standard 5:  Measurement - November
Tell time to the quarter hour
Standard 1:  Number Sense - December
Explain the answers to math problems
Demonstrate the difference between adding and subtracting

Standard 1:  Number Sense - January

Read, write, and order numbers to 1000

Add coins to $1.00 ~ counting coins

Write 3-digit numbers in expanded form

Introduce visual representations of fractions (1/2, 1/3, ¼)

Standard 2:  Algebra and Patterns - January

Explain patterning

Create and extend patterns using manipulatives to address real-world problems

Standard 3:  Statistics and Probability - January

Read and interpret data (bar and picture graphs)

Standard 5:  Measurement - January

Measure elapsed time in hours

Explore weights and scales

Standard 6:  Computation - January

Add and subtract 2-digit numbers with borrowing and regrouping

Add and subtract 3-digit numbers (no borrowing or regrouping)

Multiples 0-5

Multiplication with arrays

Standard 1:  Number Sense - February

Identify fractions

Compare fractions

Introduce fractions in number stories

Standard 4:  Geometry - February

Sort shapes by attributes

Standard 5:  Measurement - February

Choose the appropriate unit of measurement (time, length, capacity, weight, and temperature)

Measure with same size units, standard and non-standard

Use familiar objects as references for measurement (for example, a second grader is a little taller than a meter)

Measure longer distances

Estimate and measure the capacity of a container in cups, pints, quarts, and gallons

Review perimeter

Introduce Area

Standard 6:  Computation - February

Add and subtract 2-digit numbers with borrowing and regrouping

Add and subtract 3-digit numbers with no borrowing or regrouping

Standard 1:  Number Sense - March

Explain the answers to math problems

Demonstrate the difference between adding and subtracting

Money (use decimal notation)

Money (make change from $1.00)

Identify place value (ones, tens, hundreds)

Standard 5:  Measurement - March

Choose the appropriate unit of measurement (time, length, capacity, weight, and temperature)

Measure with same size units, standard and non-standard

Use familiar objects as references for measurement (for example, a second grader is a little taller than a meter)

Measure longer distances

Estimate and measure the capacity of a container in cups, pints, quarts, and gallons

Standard 6:  Computation - March

Add money using a calculator

Select and use a variety of strategies to solve problems

Add and subtract 2-digit numbers with borrowing and regrouping

Standard 1:  Number Sense - April

Identify place value (thousands and ten thousands)

Identify odd and even numbers in the 100's

Money (Use decimal notation)

Money (Make change from $1.00)

Review fractions

Standard 3:  Statistics and Probability - April

Interpret data to make predictions

Generate a prediction and solves problems using data (probability)

Use data from daily events or direct experiences to predict outcomes (fair, unfair, likely, more likely, less likely)

Collect and organize data into a list, table, or graph

Describe orally the relationship between a graph and a table

Standard 4:  Geometry - April

Locate and label points on a coordinate plane

Match tables and graphs of points on a coordinate plane

Standard 5:  Measurement - April

Find the perimeter of a shape

Find the area of a shape

Standard 6:  Computation - April

Solve addition and subtraction problems involving money

Select and use a variety of strategies to solve problems

Multiples 0-10

Division facts 0-5

Add and subtract 3-digit numbers without borrowing and regrouping

Standard 1:  Number Sense - May

Explain answers to math problems

Demonstrate the difference between adding and subtracting

Review fractions

Standard 3:  Statistics and Probability - May

Collect and organize data into a list, table, or graph

Describe orally the relationship between a graph and a table

Standard 5:  Measurement - May

Describe the unit for measuring time, length, capacity, weight, and temperature

Estimate and weigh an object

Measure temperature

Know the number of hours in a day, months in a year, inches in a foot, feet in a yard, and cups in a pint

Standard 6:  Computation - May

Multiples 0-10

Division facts 0-5

Solve addition and subtraction problems involving money

Select and use a variety of strategies to solve problems

Skills necessary for 3^rd Grade:

Recognize symmetry

Know characteristics of 2-dimensional and 3-dimensional shapes (sides, angles, parallels, vertices)

Place Value to 100,000

Patterns (pictures, functions, and in/out boxes)

Read and use a ruler
 

Resources:

National Virtual Library of Manipulatives (NVLM) - K-12 math support for Number & Operations, Algebra, Geometry, Measurement, and Data Analysis & Probability