By the end of FIRST GRADE

Algebra and Functions

Students will:

•Write and solve number sentences from problem situations that express relationships involving addition and subtraction

•Understand the meaning of the symbols +, -, =

•Create problem situations that might lead to given number sentences involving addition and subtraction

Measurement and Geometry

Students will:

•Compare the length, weight, and volume of two or more objects by using direct comparison or a nonstandard unit

•Tell time to the nearest half hour and relate time to events (e.g., before/after, shorter/longer)

•Identify, describe, and compare triangles, rectangles, squares, and circles, including the faces of three-dimensional objects

•Classify familiar plane and solid objects by common attributes, such as color, position, shape, size, roundness, or number of corners, and explain which attributes are being used for classification

•Give and follow directions about location

•Arrange and describe objects in space by proximity, position, and direction (e.g., near, far, below, above, up, down, behind, in front of, next to, left or right of)

Statistics, Data Analysis, and Probability

Students will:

•Sort objects and data by common attributes and describe the categories

Number Sense

Students will:

•Count, read, and write whole number to 100

•Compare and order whole numbers to 100 by using the symbols for less than, equal to, or greater than (<, =, >)

•Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2+ 2 10 - 2, 11 - 3)

•Count and group object in ones and tens (e.g., three groups of 10 and 4 equals 34, or 30 + 4)

•Identify and know the value of coins and show different combinations of coins that equal the same value

•Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory

•Use the inverse relationship between addition and subtraction to solve problems

•Identify one more than, one less than, 10 more than, and 10 less than a given number

•Count by 2's, 5's, and 10's to 100

•Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference)

•Solve addition and subtraction problems with one- and two-digit numbers (e.g., 5 + 58 = __)

•Find the sum of three one-digit numbers

•Make reasonable estimates when comparing larger or smaller numbers

•Represent and compare data (e.g., largest, smallest, most often, least often) by using pictures, bar graphs, tally charts, and picture graphs

•Describe, extend, and explain ways to get to a next element in simple repeating patterns (e.g., rhythmic, numeric, color, and shape)

Mathematical Reasoning

Students will:

•Determine the approach, materials, and strategies to be used

•Use tools, such as manipulatives or sketches, to model problems

•Explain the reasoning used and justify the procedures selected

•Make precise calculations and check the validity of the results from the context of the problem