Mathematics

Number & Operations:

• Counts and keeps track of a set of objects up to 100.
• Demonstrates an understanding of place value for 1’s, 10’s up to 100.
• Composes and decomposes two digit numbers up to 50.
• Develops meaning for counting by 2’s, 5’s and 10’s up to 100.
• Demonstrates an understanding of 1/2 as one part of a whole.
• Selects and applies the appropriate operation to solve story problems involving addition and subtraction.
• Records solutions to problems using pictures, numbers, words and equations.
• Recognizes the relationship between addition and subtraction.
• Knows with automaticity addition and subtraction number facts, +/- 0, 1, 2.
• Knows with automaticity combinations of 10.
• Develops fluency with double facts and doubles +/- 1.
• Adds 1 and 2 digit numbers.
• Finds different combinations for one number.
• Applies strategies for subtracting including counting backward using a number line and using numerical relationships.
• Subtracts 1 digit from two digit numbers and explores 2 digit from 2 digit subtraction with numbers under 30.

Geometry:

• Observes, describes, and compares 2-D shapes.
• Uses mathematical vocabulary to describe and name 2-D shapes.
• Composes and decomposes shapes.
• Groups shapes according to common characteristics.
• Constructs, observes, describes and compares 3-D shapes (cube, prism, sphere, cone and cylinder).
• Uses mathematical vocabulary to describe and name 3-D shapes.
• Constructs 3-D shapes from 2-D shapes.
• Uses 3-D shapes to compose other 3-D shapes.
• Creates 2-D representations of 3-D shapes and objects.

Measurement:

• Uses language to describe and compare lengths, weights, and capacity.
• Uses direct comparison of lenghts.
• Compares and measures lenghts using nonstandard units and explores appropriate standard units.
• Compares and measures the weight and capacity of objects with nonstandard units.
• Identifies and uses time intervals including: days/week and months/year.
• Tells time to the hour and 1/2 hour.
• Interprets and uses a calendar.
• Names and identifies US coins.
• Explores counting mixed collections of pennies, nickles, dimes and quarters to at least $1.00 and represents using appropriate notation.

Data & Analysis & Probability:

• Sorts and classifies a collection of objects by size, shape, and color.
• Identifies the common attribute of a set of grouped objects.
• Collects, keeps track of, and organizes data (using concrete objects, pictures, tallies, observations, surveys, and experiments).
• Represents data using objects, pictographs, lists, tallies, tables, and bar graphs.
• Explains and interprets results of surveys.
• Compares two data sets.

Algebra:

• Recognizes, describes, and extends patterns such as sequences of sounds, shapes and colors.
• Recognizes, describes, and extends geometric and numeric patterns.
• Identifies the core/unit growing and repeating patterns.

Communication & Representation:

• Creates and uses representations to organize, record, and communicate mathematical ideas.
• Selects and applies appropriate mathematical representations to slove problems and demonstrate solution methods.
• Presents mathematical ideas and solutions in written, oral and visual forms.
• Communicates mathematically thinking coherently to others.
• Uses the language of mathematics to express precisely mathematical ideas and solution methods.
• Analyzes and evaluates the mathematical thinking and strategies of others.

Problem Solving:

• Selects, develops, adapts and applies strategies to solve a wide variety of problems.
• Transfers and generalizes previous experience to new problem solving situations.
• Builds new mathematical knowledge through problem solving.
• Demonstrates persistence in problem solving.
• Verifies results.