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

• Numbers can be represented in patterns, graphs, and shapes.

• Shapes can be used to help us see patterns and measure.

• Graphs help us understand information.

• Numbers can be shown, put in order, and spoken of in many different ways (one to one correspondence and money).

• We need number sense to help us find reasonable solutions.

• Creating and analyzing data displays helps us make sense of information.

• Addition and subtraction and a sense of geometric shape can help us solve real world problems.

• Recognizing patterns helps us make sense of our world.

• Appropriate tools and units are needed to measure.

• Recognition and expression of size communicates measurement relationships.

• Essential computational skills are needed to solve real world problems.

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

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

• How might you show a repeating pattern of shapes or numbers?

• How does a graph give information without many words?

• How many ways can you show the length of something?

• How can we show numbers and talk about them?

• How can you use computation, reasoning, and estimation in solving problems?

• How do you know when to use addition or subtraction?

• What patterns do you see every day?

• What number patterns do we use for counting?

• When might we use graphs to help solve a problem, and how do we create them?

• What are some geometry words? How can we use them to solve problems?

• How do we measure time?

• What are some non-standard units you could use to measure something?

• How do you know you have achieved a quality solution?

• In what ways can numbers be communicated, represented, and ordered (one to one correspondence and money)?

• Why does having a sense of number help find reasonable estimations?

• In what ways can computation be expressed in problem solving situations?

• What mathematical tools are used in problem solving situations to create simple graphs?

• Why does having a sense of number help find reasonable estimations?

Standard 1:  Number Sense - August
Count, read, write, and order numbers to 100
Identify odd/even numbers to10
Estimate numbers to 10
Know coin values (penny, nickel, dime, and quarter)
Standard 4:  Geometry - August
Identify and draw two dimensional shapes (triangle, circle, square, and rectangle)
Standard 5:  Measurement - August
Read, create, and interpret picture graphs
Standard 1:  Number Sense - September
Count by 1s, 10’s to 100
Understand greater than, less than, equal to (use whole numbers to 50)
Use the terms of estimation correctly (about, near, closer to, a little less than)
Make reasonable estimates to 30
Standard 2: Patterns - September
Identify, describe, create, and extend patterns (AB Patterns and Patterns in shapes)
Identify number patterns (calendar activities and hundreds chart)
Standard 3: Data and Graphs - September
Read and interpret simple picture graphs
Standard 4:  Geometry - September
Label basic 2 dimensional shapes appropriately
Standard 5:  Measurement - September
Tell time to the hour using an analog and digital clock
Measure using nonstandard units (cubes, paperclips)
Standard 6:  Computation - September
Practice math facts to 5 using manipulative (addition and subtraction)
Choose and apply strategies to solve problems (know when to add or subtract)
Standard 1:  Number Sense - October
Make reasonable estimates to 40
Exchange coins (pennies and nickels)
Math number words with quantities of 10
Read, write, and count numbers to 100
Understand greater than, less than, equal to (use whole numbers)
Identify odd and even numbers to 20
Standard 2: Patterns - October
Create and extend patterns AB, ABB, ABC
Standard 3:  Data and Graphs - October
Read and interpret simple picture graphs
Collect data and create picture graphs
Standard 4:  Geometry - October
Recognize, identify and sort basic two dimensional geometric shapes by various characteristics
Introduce basic spatial terminology (inside, outside, above, below, between, behind)
Standard 5:  Measurement - October
Measure using nonstandard units (cubes, paperclips)
Standard 6:  Computation - October
Add and subtract numbers to 10 with manipulative using pictures and number sentences.

Standard 7: Problem Solving - October

Collect data and create picture graphs

Standard 1:  Number Sense - November

Read, write, and count numbers to 200

Count backward to 20

Recognize numbers in random order to 200

Order and compare numbers to 75 (greater than, less than, or equal to)

Identify whole and half using various objects

Exchange coins pennies and dimes

Make reasonable estimates to 30

Identify odd and even to 20

Standard 2:  Patterns - November

Count by 2’s to 100

Identify number patterns

Standard 3: Data and Graphs - November

Create and interpret simple bar and picture graphs

Standard 4:  Geometry - November

Create two dimensional shapes (circle, square, triangle, and rectangle)

Demonstrate understanding of basic spatial terminology to describe environment (above, below, inside, outside, between, and behind)

Standard 5:  Measurement - November

Tell and write time to the hour

Tell and write time to the half hour

Identify the characteristics of length and weight, (tall, short, long, wide, narrow, thin, heavy, light)

Standard 6: Computation - November

Add and subtract numbers to 12 with manipulatives and written expression

Standard 7: Problem Solving - November

Choose and apply strategies to solve mathematical and real world problems (addition, subtraction, reasonable estimations facts to 12)

Standard 1:  Number Sense - December

Count on from any number to 100

Match number words with quantity 1-20

Order and compare numbers to 75

Identify wholes and halves

Exchange coins (pennies, nickels, and dimes[s2] )

Make reasonable estimates to 50

Identify odd and even to 20

Standard 2: Patterns - December

Count by 5’s and 10’s to 100

Identify patterns in skip counting 2’s, 5’s and 10’s

Standard 3:  Data and Graphs - December

Create and read simple picture and bar graphs

Explain the process of creating picture and bar graph

Demonstrate understanding of results of graphs

Standard 5:  Measurement - December

Tell time to the hour

Identify characters of length and weight (tall, short, long, wide, narrow, thin, heavy, and light)

Tell time to the half hour

Standard 6:  Computation - December

Add and subtract numbers to 12 with manipulatives and expression

Standard 7: Problem Solving - December

Choose and apply strategies to solve mathematical and real world problems

Demonstrate a basic of understanding of spatial terminology to describe their environment (above, below, between, behind, inside, and outside)

Standard 1:  Number Sense - January

Identify numbers in the hundreds

Order and compare numbers to 100

Read, write, and counts to 300

Identify ordinal numbers first-tenth

Identify ones and tens place value

Identify commonly used fractions thirds and quarters

Demonstrate different strategies to solve problems (estimation)

 Standard 2: Patterns - January

Identify patterns in skip counting 2’s, 5’s and 10’s to 100

Review AB, ABB, ABC patterns

Standard 3: Data and Graphs - January

Demonstrate an understanding of daily events involving probability

Explain results of various class graphs

Standard 4: Geometry - January

Identify three dimensional shapes within their environment

Identify three dimensional shapes (cube, cylinder, sphere, prisms, and pyramids)

Standard 5:  Measurement - January

Tell and write time the hour and half hour

Measure lengths in different objects using inches

Demonstrate the concept of time and how it is measured (seconds, minutes, or hours)

 Standard 6:  Computation - January

Add and subtract numbers to 15 with manipulatives and written expressions

Demonstrate different strategies to solve problems (estimation, addition, and subtraction)

Standard 1:  Number Sense - February

Write, read, and count numbers to 300

Order and compare numbers to 100

Review exchanging value of coins pennies, nickels, and dimes

Identify and use ordinal numbers to first to tenth

Identify tens and ones place value

Identify commonly used fractions thirds and quarters

Choose and demonstrate different strategies to solve mathematical and real world problems (estimation)

Make reasonable estimates to 40 and uses common terms for estimation (about, near, closer to, greater than, less than)

Standard 3: Data and Graphs - February

Demonstrate understanding of daily events involving probability

Explain the results of various class graphs

Standard 4:  Geometry - February

Identify three dimensional shapes

Standard 5:  Measurement - February

Measure the length of different objects using inches

Demonstrate concept of time

Standard 6:  Computation - February

Add and subtract numbers to 15 using manipulatives and written expression

Choose and demonstrate different strategies to solve mathematical and real world problems (addition, subtraction, and estimation)

Standard 1:  Number Sense - March

Read, write, and count numbers to 400

Review prior high frequency number sense concepts

Identify and use ordinal numbers first to tenth

Identify tens and ones place value

Make reasonable estimates to 40

Identify commonly used fractions thirds and quarters

Demonstrate ability to chose and apply strategies to solve mathematical and real world problems (estimation)

Identify a quarter and its value

 Standard 2: Patterns - March

Review prior high frequency pattern concepts

 Standard 3: Data and Graphs - March

Review prior high frequency data and graphs concepts

 Standard 4: Geometry - March

Identify three dimensional shapes

 Standard 5:  Measurement - March

Measure the length of different object using inches

Demonstrate concepts of time (minutes, seconds, hours)

 Standard 6:  Computation - March

Review prior high frequency computation skills

Demonstrate ability to chose and apply strategies to solve mathematical and real world problems (addition, subtraction, estimation).

Standard 1:  Number Sense - April

Read, write, and count to 500

Make reasonable estimates to 50

Exchange and count combinations and coins in different ways (pennies, nickels, dimes, and quarters)

Compare fraction parts with manipulatives

Standard 2: Patterns - April

Create and extend patterns using manipulatives and addressing real world problems

Standard 3:  Data and Graphs - April

Review all prior graphing and data concepts

Use daily events to predict likely and unlikely outcomes

Understand when an outcome is certain to occur or impossible to occur

Standard 4:  Geometry - April

Build models of geometric shapes

Sort three dimensional shapes by attributes

Explain the process of sorting and classifying three dimensional shapes

Standard 5:  Measurement - April

Measure different objects using inches

Review telling time to the hour and half hour

Measure different objects using centimeters

Introduce time to the quarter hour

Communicate reasons for choosing certain tools for measuring 

Standard 6:  Computation - April

Add and subtract fluently to 20

Review prior problem solving skills

Explain problem solving process written or orally

Standard 1:  Number Sense - May

Review all prior red number sense concepts

Standard 2: Patterns - May

Review all prior red pattern concepts

Standard 3:  Data Graphs - May

Review all prior red data/graphs concepts

Use daily events involving probability to predict likely versus unlikely

Understand when an outcome is certain to occur or impossible to occur

Standard 4: Geometry - May

Review all prior red geometry concepts

Explain the process in sorting and classifying objects in three dimensional shapes

Standard 5:  Measurement - May

Review all prior red measurement concepts

Measure different objects using centimeters

Communicate reasons for choosing certain tools for measuring

Standard 6:  Computation - May

Review all prior red computation concepts

Review all prior red problem solving concepts

Explain problem solving process written or orally

Introduce 2-digit computation
 

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