                  Lesson Plans, Interactive Activities, Worksheets, and Links for Grades K - 12 Algebraic Thinking

Key:  I = Introduced, D = Developing, A = State Assessed, M = Mastered

 D Sort objects by two of the following attributes: color, size, shape, and kind. I Describe how objects in a group are alike and how they are different. D Identify and describe growing patterns found in literature, in the environment, in physical arrangements, and in pictures. D Translate a repeating pattern from one format to another (e.g., red-blue-blue to snap-clap-clap). D Create, describe, and extend concrete, visual, auditory, or number patterns. I Identify the unit of a two-part repeating pattern. D Show or represent number sentences, involving addition and subtraction and numbers 0-20, with concrete objects. D Use mathematical terms and symbols appropriately. I Interpret and solve simple open addition sentences, including finding the missing addend. I Apply the commutative property of addition.

 D Sort objects by two or more attributes. D Identify the rules by which objects or numbers have been sorted. D Extend a growing pattern, involving objects, shapes, or numbers. D Identify the unit of a three-part repeating pattern. D Translate a repeating pattern from one format to another (e.g., red-blue-blue to snap-clap-clap). I Determine the output number for a particular input number given a one-operation rule involving addition or subtraction. D Interpret and solve open sentences that involve addition or subtraction. D Communicate and use mathematical terms and symbols appropriately. D Show or represent number sentences, involving addition and subtraction and numbers 0-20, with concrete objects. D Demonstrate knowledge of and use the commutative property of addition. I Show that subtraction is not commutative. D Apply the addition and subtraction properties of 0 (adding or subtracting 0 doesnt change a given number). I Describe qualitative change (e.g., a student growing taller). I Describe quantitative change (e.g., a student growing 2 inches in 1 year).

 A Sort objects by two attributes. D Sort objects by two or more attributes. M Devise, carry out, and explain how a group of objects has been sorted. A Identify the rules by which objects or numbers have been sorted. D Recognize, describe, complete, translate, or create patterns of figures or numbers. A Extend repeating and growing numerical or geometric patterns. A Represent repeating geometric patterns as repeating numerical patterns. D Describe a growing pattern, involving objects, shapes, or numbers. A Determine the output number for a particular input number given a one-operation function rule involving addition or subtraction. D Demonstrate knowledge (with words or symbols) of the commutative properties of addition and multiplication. D Show or represent and solve open sentences, involving addition, subtraction, and multiplication, with concrete objects or pictures. A Solve open sentences that involve addition and subtraction of whole numbers zero to twenty. A Connect open sentences to real-world situations. D Demonstrate knowledge and understanding of grade level mathematical terms. I Demonstrate understanding that an equation is a number sentence stating two quantities are equal. D Use the commutative property of addition and multiplication. D Show that subtraction is not commutative. M Apply the addition and subtraction properties of 0 (adding or subtracting 0 doesnt change a number). I Apply the zero and identity properties of multiplication (adding 0 or multiplying by 1 doesnt change a number). I Use arrays to represent the commutative property of multiplication. D Describe qualitative change (e.g., a student growing taller). D Describe quantitative change (e.g., a student growing two inches in one year).

 D Generalize and extend or complete patterns involving geometric figures or numbers. A Extend numerical and geometric patterns. D Represent and analyze patterns and relationships using words, tables, and graphs. A Determine the function rule for data in a function table. A Apply basic function rules. A Solve open sentences involving addition and subtraction. A Solve open sentences involving multiplication and division. A Connect open sentences to real-world situations. I Represent the idea of a variable as an unknown quantity by using a letter or a symbol. D Demonstrate understanding that an equation is a number sentence stating that two quantities are equal. D Use the commutative, associative, zero, and identity properties for addition and multiplication. I Investigate how a change in one variable relates to a change in a second variable.
 D Divide efficiently and accurately with single-digit whole numbers. A Add and subtract decimals (includes monetary units). I Multiply decimals (includes monetary units).

 D Generalize and extend or complete patterns involving geometric figures or numbers. A Extend numerical patterns. A Extend geometric patterns. A Generalize numerical patterns using a variable. D Represent and analyze patterns and functions using words, tables, and graphs. D Determine or apply a function rule involving data in a function table. A Apply basic function rules. M Demonstrate understanding that an equation is a number sentence stating two quantities are equal. A Solve open sentences involving addition, subtraction, multiplication, and division. A Connect open sentences to real-world situations. D Represent the idea of a variable as an unknown quantity using a letter or a symbol. A Select an equation that represents a given mathematical relationship. M Apply commutative, associative, zero, distributive, and identity properties. M Show that division is not commutative. D Investigate how a change in one variable relates to a change in a second variable. D Use methods to compare and describe situations involving constant and/or varying rates of change and to solve real-world problems (e.g., extending rate charts). A Extend rate charts to solve real-world problems. Amie Lambert Jefferson County Schools