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

• Numbers can be represented and communicated in different ways.

• Becoming familiar with geometric shapes, spatial vocabulary, numbers in graphic representations, and beginning measurement are important foundational concepts.

• One to one correspondence helps us understand numbers.

• Recognizing patterns and attributes (characteristics like color, size, and shape) of objects helps us form categories and helps us make sense of our world.

• Understanding geometric concepts helps us see spatial relationships in solving problems.

• A sense of place value is necessary to find relationships between numbers.

• To communicate estimates, we must be able to understand and use the language of math.

• A sense of number is necessary to find reasonable estimates.

• Appropriate computational skills are needed to communicate solutions of real world problems.

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

• What geometric shapes are found in nature? Are shapes flat (plane) or bulky (dimensional)?

• What words help us explain where things are located? (Where is the apple?)

• How can pictures show numbers and how they relate to each other?

• How can you use your own foot to measure the length of something?

• How could you determine the weight of an object if you didn’t have a scale?

• What are different ways we can use patterns (skip counting) to count to 50 and 100?

• How do we recognize, construct, extend, and talk about patterns?

• How do the attributes of objects help us put them into categories?

• What are different ways that we can put objects in order?

• What do 2-dimensional shapes look like?

• How do we communicate, represent, and order numbers?

• How can we learn and apply estimation vocabulary, why is it important to learn about estimation, and what is the best strategy for making estimates?

• How do we use and communicate our understanding of addition and subtraction to solve problems?

• How can geometry terms and space awareness help us solve problems?
   

Standard 1: Number Sense - September
Read, write, count and create 1-to-1 correspondence with objects (matching numerals to objects) up to 10
Identify one coin
Order numbers 1 – 20.
Explore numerical properties (adding 0).
Standard 2: Patterns and Algebra - September

Identify simple patterns (AB)

Standard 3: Data and Graphs - September
Explore picture and bar graphs.

Standard 4: Geometry - September
Sort and classify objects by one attribute (i.e., size, color, shape).

Standard 5: Measurement - September
Explore attributes of length and weight using non-standard units.

Standard 1: Number Sense - October

Count number 1 – 30.
Read and write numbers 1 – 20

Make one-to-one correspondence matches numerals with 10-20 objects (number sets).
Order numbers 1 – 30.

Recognize and name 2 coins

Standard 4: Geometry - October
Recognize, name and draw three 2-dimensional shapes.
Demonstrate knowledge of spatial terminology.

Standard 1: Number Sense - November

Order objects using numerical properties or size (four or more objects).
Read, write, and count objects using one to one correspondence to 30

Standard 2: Patterns and Algebra - November

Extend and create patterns such as ABC, AAB, ABB, etc.

Standard 3: Data and Graphs - November

Read, create and interpret graphs.

Standard 4: Geometry - November

Recognize, name, draw or form  four 2-dimensional shapes: circle, triangle, oval, square, rectangle, and rhombus.
Sort and classify objects by two attributes (i.e., size, color, shape).

Identify spatial terminology: outside, inside, above, below, between, behind.

Standard 5: Measurement - November

Demonstrate understanding of attributes of length and weight by measuring with nonstandard units.

Standard 1: Number Sense - December
Read, write and count objects to 30

Recognize and name coins

Explore estimation terms (about, near, closer to, a little less than).

Make reasonable estimates in simple activities.

Participate in simple estimation activities.

Standard 2: Patterns and Algebra - December

Extend and create patterns (ABC, AAB, ABB, etc.).

Recognize, name, draw or form 2-dimensional shapes.

Standard 3: Data and Graphs - December

Read, create and interpret graphs.

Standard 5: Measurement - December

Demonstrate understanding of attributes of length and weight by measuring with nonstandard units.

Apply and communicate a strategy using measurement techniques to solve simple problems.

Standard 6: Computation - December

Explore addition and subtraction with manipulatives

Standard 1: Number Sense - January
Make reasonable estimates on simple activities.

Read, write and count numbers 1 – 50.

Identify coins three coins

Order numbers 1 – 50.

Apply and communicate a strategy demonstrating number sense and estimation to solve problems.

Make one-to-one correspondences (numerals to objects).

Match numerals with objects (number sets).
Standard 2: Patterns and Algebra - January
Create and extend three part patterns (ABC, AAB, ABB)
Standard 1: Number Sense - February
Read, write, and count objects using one to one correspondence 1-50
Standard 4: Geometry - February
Recognize, name, draw and build all six 2-dimensional shapes.

Standard 6: Computation - February

Addition and subtraction problems through 5 using manipulatives.

Apply and communicate a strategy using computation techniques to solve problems.
Standard 1: Number Sense - March
Identify three coins

Read, write and count numbers 1 – 50

Order numbers 1 – 100.

Make one-to-one correspondence.

Match numerals with objects (number sets).

Compare numbers through 20 (i.e., ones, tens, greater than, less than, equal to).

Standard 1: Number Sense - April

Understand terms: about, near, closer to, a little less than.

Apply and communicate a strategy using number sense and estimation to solve problems.
Read, write and count 1-100

Standard 6: Computation - April
Add and subtract through 10 with manipulatives.
Standard 1: Number Sense - May
Identify four coins

Standard 2: Patterns and Algebra - May

Create and explain complex patterns (four parts or more)

Standard 3: Data and Graphs - May

Read, create and interpret bar and picture graphs.

Apply and communicate a strategy using probability and statistics to solve math problems.

Standard 4: Geometry - May

Sort and classify objects by three attributes (i.e., color, size, shape, use).

Recognize, name, draw and build 2-dimensional shapes.

Standard 5: Measurement - May

Demonstrate understanding of attributes of length and weight by measuring with nonstandard units.

Apply and communicate a strategy using measurement techniques to solve problems.

Unit Vocabulary

K-5 Math Vocabulary Listed by Grade Level
 

Resources:

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