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By the end of grade one, students understand and use the concept
of ones and tens in the place value number system. Students add
and subtract small numbers with ease. They measure with simple
units and locate objects in space. They describe data and analyze
and solve simple problems.
Number Sense
1.0 Students understand and use numbers up to 100:
1.1 Count, read, and write whole numbers to 100.
1.2 Compare and order whole numbers to 100 by using the symbols
for less than, equal to, or greater than (<, =, >).
1.3 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).
1.4 Count and group object in ones and tens (e.g., three groups
of 10 and 4 equals 34, or 30 + 4).
1.5 Identify and know the value of coins and show different combinations
of coins that equal the same value.
2.0 Students demonstrate the meaning of addition and subtraction
and use these operations to solve problems:
2.1 Know the addition facts (sums to 20) and the
corresponding subtraction facts and commit them to memory.
2.2 Use the inverse relationship between addition and subtraction
to solve problems.
2.3 Identify one more than, one less than, 10 more than, and 10
less than a given number.
2.4 Count by 2s, 5s, and 10s to 100.
2.5 Show the meaning of addition (putting together, increasing)
and subtraction (taking away, comparing, finding the difference).
2.6 Solve addition and subtraction problems with one-and two-digit
numbers (e.g., 5 + 58 = __).
2.7 Find the sum of three one-digit numbers.
3.0 Students use estimation strategies in computation and problem
solving that involve numbers that use the ones, tens, and hundreds
places:
3.1 Make reasonable estimates when comparing larger
or smaller numbers.
Algebra and Functions
1.0 Students use number sentences with operational symbols and
expressions to solve problems:
1.1 Write and solve number sentences from problem
situations that express relationships involving addition and subtraction.
1.2 Understand the meaning of the symbols +, -, =.
1.3 Create problem situations that might lead to given number
sentences involving addition and subtraction.
Measurement and Geometry
1.0 Students use direct comparison and nonstandard units to
describe the measurements of objects:
1.1 Compare the length, weight, and volume of
two or more objects by using direct comparison or a nonstandard
unit.
1.2 Tell time to the nearest half hour and relate time to events
(e.g., before/after, shorter/longer).
2.0 Students identify common geometric figures, classify them
by common attributes, and describe their relative position or
their location in space:
2.1 Identify, describe, and compare triangles,
rectangles, squares, and circles, including the faces of three-dimensional
objects.
2.2 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.
2.3 Give and follow directions about location.
2.4 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
1.0 Students organize, represent, and compare data by
category on simple graphs and charts:
1.1 Sort objects and data by common attributes
and describe the categories.
1.2 Represent and compare data (e.g., largest, smallest, most
often, least often) by using pictures, bar graphs, tally charts,
and picture graphs.
2.0 Students sort objects and create and describe patterns by
numbers, shapes, sizes, rhythms, or colors:
2.1 Describe, extend, and explain ways to get
to a next element in simple repeating patterns (e.g., rhythmic,
numeric, color, and shape).
Mathematical Reasoning
1.0 Students make decisions about how to set up a problem:
1.1 Determine the approach, materials, and strategies
to be used.
1.2 Use tools, such as manipulatives or sketches, to model problems.
2.0 Students solve problems and justify their reasoning:
2.1 Explain the reasoning used and justify the
procedures selected.
2.2 Make precise calculations and check the validity of the results
from the context of the problem.
3.0 Students note connections between one problem and another.
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