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Operations and Algebraic Thinking

Addition and Subtraction Word Problems

Use addition and subtraction within 20 to solve word problems with unknowns in all positions (e.g., by using objects, drawings, and/or equations with a symbol for the unknown number to represent the problem).

Addition and Subtraction Word Problems

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Adding Three Whole Numbers

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 (e.g., by using objects, drawings, and/or equations with a symbol for the unknown number to represent the problem).

Adding Three Whole Numbers

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Adding and Subtracting within 20

1.OA.4 Understand subtraction as an unknown-addend problem within 20 (e.g., subtract 10 - 8 by finding the number that makes 10 when added to 8)

1.OA.5 Relate counting to addition and subtraction (e.g., by using counting on 2 to add 2).

1.OA.6 Fluently add and subtract within 10.

Adding and Subtracting within 20

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Number Sentences

1.OA.7 Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false (e.g., Which of the following equations are true and which are false? 6 + 1 = 6 - 1, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2). OA.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers (e.g., determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = ? - 3, 6 + 6 = ?).

Number Sentences

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Properties of Operations

Apply properties of operations (commutative and associative properties of addition) as strategies to add and subtract through 20. (Students need not use formal terms for these properties.)

Properties of Operations

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Geometry

Composite Shapes

Compose two-dimensional shapes or three-dimensional shapes to create a composite shape.

Composite Shapes

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Shape Attributes

Distinguish between defining attributes (triangles are closed and 3 sided) versus non-defining attributes (color, orientation, overall size) for two-dimensional shapes; build and draw shapes that possess defining attributes.

Shape Attributes

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Partitioning Into Equal Shares

Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters. Describe the whole as two of, or four of the shares. Understand that decomposing into more equal shares creates smaller shares.

Partitioning Into Equal Shares

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Numbers and Operations in Base Ten

Counting to 120

Count to 120 by 1's, 2's, and 10's starting at any number less than 100. In this range, read and write numerals and represent a number of objects with a written numeral.

Counting to 120

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Adding Within 100

Demonstrate understanding of addition within 100, connecting objects or drawings to strategies based on place value (including multiples of 10), properties of operations, and/or the relationship between addition and subtraction. Relate the strategy to a written form.

Adding Within 100

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Subtract Multiples of 10

Subtract multiples of 10 in the range of 10 to 90 (positive or zero differences), using objects or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Relate the strategy to a written form.

Subtract Multiples of 10

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Tens & Ones

Understand that the two digits of a two-digit number represent groups of tens and ones. Understand the following as special cases: a. 10 can be thought of as a group of ten ones — called a “ten”. b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

Tens & Ones

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Comparing Numbers

Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

Comparing Numbers

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Mental Math

Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count.

Mental Math

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Measurement and Data

Ordering Objects by Length

Order three objects by length. Compare the lengths of two objects indirectly by using a third object.

Ordering Objects by Length

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Tell and Write Time

Tell and write time in hours and half-hours using analog and digital clocks.

Tell and Write Time

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Interpreting Data

Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

Interpreting Data

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Length of an Object

Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. (Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.)

Length of an Object

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