“Math Expressions”
Year-End Expectations
Kindergarten (5K) Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
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Counts to 100 by 1s and 10s
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Writes, compares, and orders numbers to 20
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Groups numbers into 5s and 10s using circle drawings
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Adds and subtracts within 10 using objects
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Adds and subtracts fluently to 5
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Solves addition and subtraction number stories
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Creates and finds number partners to 10
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Represents teen numbers with 10s and 1s using objects
Geometry
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Identifies and sorts 2 and 3 dimensional shapes
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Combines shapes to create new shapes
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Describes objects using positional words (above, below, behind, next to)
Measurement
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Sorts objects into categories
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Describes and compares attributes of an object (shorter, taller)
Problem Solving and Reasoning
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Explains reasoning and methods for solving problems
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Chooses appropriate tools to solve problems
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Analyzes, compares, and questions different ways for solving problems
Communication
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Participates in group and partner conversations
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Asks and answers questions appropriately
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Understands and uses math terms appropriately
“Math Expressions”
Year-End Expectations
1st Grade Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
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Writes, compares, and orders numbers to 120
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Use ordinal numbers correctly (e.g., third in line)
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Groups numbers into 10s and 1s using stick and circle drawings
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Adds 3 or more one-digit numbers
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Uses and explains strategies for addition and subtraction combinations
(to 9 + 9 and 18 - 9)
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Solves and creates word problems for addition and subtraction
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Creates and interprets bar graphs, picture graphs, tables, and tallies of data
Geometry
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Identifies, compares, and sorts 2 and 3 dimensional figures according to geometric attributes
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Combines and divides shapes into other shapes (divide a rectangle into 3 triangles; form a
new shape with a square and a triangle)
Measurement
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Uses comparative language (shorter, lighter, holds more, etc.) to order objects by length,
weight, capacity
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Uses inch and centimeter rulers to measure length
Problem Solving and Reasoning
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Identifies the question asked in word problems
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Uses information given to solve word problems and answer questions
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Determines reasonableness of solutions to word problems
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Selects appropriate strategies to solve word problems
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Solves non-routine problems
Communication
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Convey answers to questions verbally and in written form as needed
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Describe verbally, pictorially, and/or in writing processes used to solve problems
“Math Expressions”
Year-End Expectations
2nd Grade Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
•
Uses place value representations for numbers less than 1,000, including expanded form and
drawings
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Quickly recalls addition basic facts (to 9 + 9) and related subtraction facts
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Solves addition and subtraction word problems involving change, comparison, and
collections
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Solves and creates addition and subtraction equations and word problems in which the
unknown number appears in a variety of positions
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Adds 2-digit numbers using an algorithm
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Collects, organizes, represents, and interprets data tables, tallies, picture graphs, and bar
graphs
Geometry and Measurement
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Uses ruler (inches, feet, and centimeters) to measure length
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Tells time with both digital and analog clocks
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Describes attributes of geometric shapes
Problem Solving and Reasoning
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Identifies the question asked in word problems
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Uses information given to solve word problems and answer questions
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Determines reasonableness of solutions to word problems
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Selects appropriate strategies to solve word problems
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Solves non-routine problems
Communication
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Conveys answers to questions verbally and in written form as needed
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Describes verbally, pictorially, and/or in writing processes used to solve problems
“Math Expressions”
Year-End Expectations
3rd Grade Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
Multiplication and division (to 9 x 9 and 81÷ 9)
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Represents multiplication and division with drawings, objects, and symbols
Solves and creates multiplication and division word problems of equal groups
Explains strategies to remember facts
Quickly recalls facts for multiplication and division with 2, 5, and 10
Addition and subtraction (3 digit by 2 digit)
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Solves addition and subtraction word problems involving change, comparison, and collection
Solves addition and subtraction equations and word problems in which the unknown
number appears in a variety of positions
Adds and subtracts 2-3 digit numbers using an algorithm
Fractions
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Compares and orders fractions and mixed numbers
Determines equivalent fractions
Data and Graphs
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Collects, organizes, represents, and interprets data tables, tallies, picture graphs, and bar
graphs
Geometry and Measurement
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Identifies and sketches various angles and lines
Identifies and describes various quadrilaterals
Uses pounds and grams to determine weight
Uses ruler (inches, feet, and centimeters) to measure length
Calculates and solves problems about the perimeter of quadrilaterals
Problem Solving and Reasoning
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Identifies the question asked in word problems
Uses information given to solve word problems and answer questions
Determines reasonableness of solutions to word problems
Selects appropriate strategies to solve word problems
Solves non-routine problems
Communication
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Conveys answers to questions verbally and in written form as needed
Describes verbally, pictorially, and/or in writing processes used to solve problems
“Math Expressions”
Year-End Expectations
4th Grade Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
Multiplication and division
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Quickly recalls multiplication facts to 10x10 and related division facts
Uses algorithms to solve digit by 2 digit multiplication
Solves multiplication and division word problems of various types (equal groups; area,
comparison, and combinations)
Solves word problems with unknown number in various positions
Determines mean, median, and mode of small data sets
Fractions, decimals, and mixed numbers
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Reads, writes, compares and orders equivalent fractions
Converts decimals to/from fractions
Solves word problems involving addition and subtraction of fractions
Identifies probability in fraction form with picture problems
Graph-ordered pairs of data
Geometry and Measurement
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Uses formulas to compute area and perimeter of rectangles and shapes which can be broken
into rectangles
Solves word problems involving area and perimeter
Describes and computes elapsed time
Problem Solving and Reasoning
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Identifies the question asked in word problems
Uses information given to solve word problems and answer questions
Determines reasonableness of solutions to word problems
Selects appropriate strategies to solve word problems
Solves non-routine problems
Communication
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Conveys answers to questions verbally and in written form as needed
Describes verbally, pictorially, and/or in writing processes used to solve problems
“Math Expressions”
Year-End Expectations
5th Grade Mathematics
A guide to understanding what your child will know at the end of the school year.
Number Sense and Algebra
Fractions, decimals, and mixed numbers:
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Finds common denominators
Converts decimals to/from fractions
Solves word problems involving multiplication and division of fractions
Identifies probability in fraction form with picture problems
Multiplication and division:
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Finds common factors and least common multiples
Uses algorithms to solve digit by 2 digit multiplication and division problems
Solves multiplication and division word problems of various types (equal groups; area,
comparison and combinations)
Solves word problems with unknown in various positions
Geometry
Line graphs:
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Describes rules for numerical and geometric patterns
Graphs ordered pairs in coordinate plane (positive numbers only)
Constructs and interprets line graphs and their algebraic representations (whole numbers
only 3x2; 4x2; etc. )
Geometric shapes:
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Identifies, sketches, and measures angles and line segments
Classifies and analyzes properties of quadrilaterals and triangles
Uses formula for area of parallelograms and triangles
Problem Solving and Reasoning
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Identifies the question asked in word problems
Uses information given to solve word problems and answer questions
Determines reasonableness of solutions to word problems
Selects appropriate strategies to solve word problems
Solves non-routine problems
Communication
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Conveys answers to questions verbally and in written form as needed
Describes verbally, pictorially, and/or in writing processes used to solve problems