Math Grade K  Download an editable version (RTF file)

Standard 1: Understands and applies problem solving strategies
Interval Benchmark 1: Uses a variety of strategies to solve problems
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Applies problem solving strategies   ITBS ***	act it out make or use a model find or use a pattern draw a picture guess and check make a chart, table, graph, or organized list use logical reasoning	Knows there are many ways to solve problems Knows the steps of each strategy	Poses problems to generate new questions in problem situations Listens to others to see different ways to solve the same problem Chooses an appropriate strategy (ITBS)		AEA9 AEA16
Interval Benchmark 2: Justifies the process used to solve a numerical problem
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses concrete objects and pictures to explain reasoning	problem solving reasoning	Knows that objects and pictures can be used to help explain how a problem was solved	Uses concrete objects and pictures to show how a problem was solved		AEA9 AEA16
Standard 2: Understands and applies concepts of numbers and operations
Interval Benchmark 1: Describes the properties of numbers and number systems
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Applies counting rules   ITBS ***	numbers to 31 count set skip counting twos fives tens backward forward	Understands one-to-one correspondence Understands skip counting Understands counting backward Understands counting by twos to count pairs in a diagram	Counts forward to 31 (ITBS) Counts backward from 10 Counts by twos, fives, and tens to 50 Counts the number of objects in a set (ITBS) Gives missing numbers in a sequence (ITBS) Matches pairs-to-one correspondence in a diagram (ITBS)		AEA9 AEA16
b: Uses number theory	odd even pair	Understands the concept of odd and even numbers	Uses concrete objects to identify odd and even numbers Identifies pairs of objects		AEA9 AEA16
c: Uses place value to two-digit numbers   ITBS *	numbers to 31	Understands the base-ten place value system for two-digit numbers	Reads and writes numbers to 31 (ITBS)		AEA9 AEA16
d: Compares and orders numbers   ITBS *	compare one more one less 1st to 6th	Understands the concept of one more and one less Knows objects can be placed in order and identified by their position	Compares sets using objects (ITBS) Identifies one more or one less (ITBS) Identifies ordinal position 1st to 6th (ITBS)		AEA9 AEA16
e: Represents numbers   ITBS *	numbers to 31	Knows the number of objects in a set can be represented by a number	Writes numerals 0-9 (ITBS) Relates numbers to objects		AEA9 AEA16
f: Understands fraction concepts   ITBS *	fraction half equal pieces fourth	Knows fractions represent part of a whole Recognizes pictures of real objects cut into halves or fourths	Identifies 1/2 or 1/4 Relates fractional drawings of objects to story situations (ITBS)		AEA9 AEA16
Interval Benchmark 2: Understands the properties of operations
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Applies the properties of addition and subtraction	add subtract combine take away	Knows combining and decomposing Understands the effects of adding and subtracting whole numbers	Adds by combining objects Subtracts by taking away objects		AEA9 AEA16
Interval Benchmark 3: Computes fluently and makes reasonable estimates
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Adds and subtracts whole numbers	add subtract number	Knows the effects of adding and subtracting objects	Adds and subtracts to 10 using concrete objects Recognizes the plus sign and minus sign		AEA9 AEA16
b: Applies mental strategies to perform addition and subtraction	one more one less	Knows adding and subtracting can be done mentally	Mentally adds and subtracts one more or one less		AEA9 AEA16
c: Uses estimation strategies	estimate about near more than less than	Knows when an estimate is reasonable	Explores the concept of estimation Finds numbers that are between two others		AEA9 AEA16
d: Solves addition and subtraction problems   ITBS *	story problem problem solve	Knows story problems can be solved using math	Solves addition and subtraction story problems using diagrams (ITBS) Solves multiple-step addition problems (ITBS)		AEA9 AEA16
Standard 3: Understands and applies concepts of measurement
Interval Benchmark 1: Understands measurable attributes and the process of measurement
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Compares and orders objects according to their measurable attributes   ITBS **	length weight time capacity temperature heavier lighter longer-than shorter-than full empty hotter colder bigger smaller	Understands and compares relative measures of weight, length, time, capacity, and temperature Knows seconds are shorter than minutes and minutes are shorter than hours	Compares weights of objects using a balance scale Compares and orders objects according to length and weight (ITBS) Compares duration of events such as which takes more time and which takes less time Compares capacity using non-standard forms of measurement Compares temperature from one day to the next Chooses the unit of time that is shortest		AEA9 AEA16
b: Applies the process of measurement   ITBS *	identify attribute measure most least	Understands there is a process to be used when measuring objects	Identifies the attribute to be measured Chooses an appropriate unit Compares unit with the object being measured Determines the most or least from a set of diagrams (ITBS)		AEA9 AEA16
Interval Benchmark 2: Uses a variety of techniques for measurement
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Recognizes and writes money amounts   ITBS *	penny nickel dime quarter one-dollar bill dollar sign cent sign	Understands different coins represent different amounts of money Understands money can be written in different ways	Identifies pennies, nickels, dimes, and quarters (ITBS) Counts pennies and nickels to ten cents Identifies the dollar sign and cents sign Writes money amounts using the cents sign		AEA9 AEA16
b: Describes time using familiar words	hour minute hour hand minute hand calendar days of the week months of the year before after today yesterday tomorrow morning afternoon evening	Knows the features of analog and digital clocks Knows the main features of a calendar Knows the days of the week and months of the year Understands relative time intervals and relationships	Places events in sequence, such as before and after, first, and last Reads a clock face and tells time to the hour Knows the days of the week and months of the year Describes time such as today, yesterday, and tomorrow		AEA9 AEA16
c: Uses instruments of measurement   ITBS *	measure ruler scale thermometer temperature inch pound ounce measuring cup tape measure	Knows every day objects can be used for measurement Knows how to select and use standard tools to measure objects Knows how to select an appropriate tool for the attribute being measured Knows how to recognize hours	Measures length using non-standard units Measures length in inches Measures weight in pounds Uses a thermometer to measure temperature Uses repetition of a single unit to measure something larger than the unit Recognizes a tape measure measures length(ITBS) Recognizes hours on a clock face Recognizes a measuring cup measures ounces (ITBS)	Introduction to Measurement	AEA9 AEA16
d: Makes measurement estimates and checks for accuracy	estimate same	Understands common referents can be used to make estimates	Estimates length in feet, weight in pounds, and time to the nearest hour and then measures to check accuracy		AEA9 AEA16
Standard 4: Understands and applies properties of geometry
Interval Benchmark 1: Identifies similarities and differences between simple geometric shapes
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Names common plane and solid shapes   ITBS *	shape circle square triangle rectangle sphere cube pyramid prism rectangluar prism cone	Knows the names of plane and solid shapes	Recognizes and names common plan and solid shapes (ITBS)	Introduction to Geometry	AEA9 AEA16
b: Compares plane and solid shapes by their physical attributes	attributes compare alike different size color sides corner round edge	Understands shapes are closed figures made up of lines and corners Knows attritibutes and are used to compare shapes	Compares and sorts plane and solid shapes Recognizes plane and solid shapes in different positions	Introduction to Geometry	AEA9 AEA16
Interval Benchmark 2: Uses coordinate geometry to describe relationships
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses positional words to locate objects	front back over under in out above below around on between next to up down	Understands positional words can be used to locate objects	Gives and responds to directions about location		AEA9 AEA16
Interval Benchmark 3: Identifies transformations and symmetry
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Recognizes slides, flips and turns   ITBS *	slide flip turn	Understands a slide is a movement of a shape in a linear direction Understands a flip is a mirror image of the original shape Understands a turn is a rotation of the shape	Recognizes shapes from different perspectives (ITBS)		AEA9 AEA16
b: Recognizes shapes have symmetry	symmetry	Knows shapes have symmetry	Identifies shapes that have symmetry	Introduction to Symmetry	AEA9 AEA16
Interval Benchmark 4: Uses geometric reasoning to solve problems
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Describes objects in the environment by using common shapes   ITBS **	circle square triangle rectangle sphere cube prism	Knows that shapes in the environment are composed of basic shapes	Describes complex shapes in terms of common shapes that make them up (ITBS) Completes a pattern made of geometric shapes (ITBS) Visualizes parts of a whole complex shape (ITBS)		AEA9 AEA16
Standard 5: Understands and applies concepts of data analysis and probability
Interval Benchmark 1: Collects, organizes, and displays data to answer a question
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Gathers data to answer questions	graph chart sort	Knows data charts and graphs provide information	Sorts objects according to their categories and displays that information on a chart Determines whether the data answers the specific question asked		AEA9 AEA16
b: Represents data to convey results	tally mark pictograph	Knows data can be arranged in different ways	Uses data collection tools such as tally marks, counters, or real objects Organizes data according to categories Uses pictographs to display information		AEA9 AEA16
Interval Benchmark 2: Uses statistical methods to describe data
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Describes the data as a whole	most least	Knows a graph organizes data	Describes most, least Makes statements about the data as a whole		AEA9 AEA16
Interval Benchmark 3: Reads and interprets data
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Reads and interprets information from graphs	graph information	Knows the graph represents information	Identifies some bars as taller, longer, or shorter than others Describes the data in a graph Interprets two- and three-dimensional graphs in horizontal and vertical form		AEA9 AEA16
Interval Benchmark 4: Uses probability concepts
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Identifies the likelihood of an event	possible impossible	Knows some events are possible and some are impossible	Answers questions about the likelihood of events Identifies events as being possible or impossible		AEA9 AEA16
Standard 6: Understands and applies concepts of algebra and functions
Interval Benchmark 1: Creates and extends simple patterns
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses concrete objects and drawings to create, copy, and extend simple patterns	pattern left right paths predict before after next between	Understands patterns can be copied and extended	Copies patterns Explores position and movement Identifies and extends simple geometric patterns		AEA9 AEA16
b: Finds patterns in the environment	pattern environment	Knows every day items form a pattern	Identifies patterns found in the environment Repeats patterns in designs	Introduction to Primary Algebra	AEA9 AEA16
Interval Benchmark 2: Sorts, classifies, and orders objects
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Classifies objects according to physical attributes	alike not alike belong group sort size shape color	Knows objects can be placed in groups based on a given property	Recognizes and explores color and shapes as properties to classify objects Identifies objects that belong to or do not belong to a group based on a given property		AEA9 AEA16
Interval Benchmark 3: Uses concrete, pictorial, and verbal representations to understand symbolic notation
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses concrete objects to represent symbolic notations	unknown symbol	Knows symbols can be used to represent concrete objects	Writes addition number sentences		AEA9 AEA16
Interval Benchmark 4: Uses models to represent mathematical situations
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses concrete objects to represent addition and subtraction   ITBS ***	addition subtraction	Knows objects can be used to represent addition and subtraction situations	Adds and subtracts using concrete objects Solves single-step problems (ITBS) Solves multiple-step problems (ITBS)		AEA9 AEA16
Interval Benchmark 5: Describes change in a variety of situations
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Recognizes qualitative and quantitative change	taller-than shorter-than tall taller short shorter more than less than	Understands simple words of comparison	Places objects in order from shortest to tallest		AEA9 AEA16
Standard 7: Communicates and reasons mathematically
Interval Benchmark 1: Comprehends mathematical language
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Comprehends mathematical texts	graphic organizers	Knows strategies to help learn vocabulary Knows the text is set up to help vocabulary understanding	See Integrating Standards website for Reading: http://integratingstandards.com/standards/reading/index.html Uses graphic organizers to understand mathematical terms		AEA9 AEA16
Interval Benchmark 2: Expresses ideas using mathematical terms and representations
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Connects ideas to mathematical terms	grade level mathematical terms	Knows expressions represent rules and generalizations Knows strategies to organize ideas Knows the characteristics of a well-written solution	Organizes mathematical ideas for understanding by a third party Writes coherent solutions Uses correct mathematical terms, language, and drawings for grade level content Presents solutions using mathematical terms and representations		AEA9 AEA16
Interval Benchmark 3: Analyzes and evaluates mathematical thinking
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Reviews mathematical thinking	clarity reasons evidence solutions characteristics	Knows strategies to organize ideas Knows mathematicians defend solutions Knows the characteristics of a well-written solution	Organizes work and labels drawings to make meaning clear Checks for clarity in solutions and revises Gives reasons for decisions made while solving a problem Considers the solutions of others and learns from them Supports solutions with evidence Answers questions regarding solutions		AEA9 AEA16
Interval Benchmark 4: Uses technology to enhance mathematical learning
Grade Level Benchmark	Vocabulary	Information	Skills	Classroom Resources (Additional resources)	AEA Resources
a: Uses tools and technology to solve problems	tools and technology appropriate at grade level	Knows how to use the tools and technology Understands a type of tool or technology is more appropriate in certain contexts	Identifies the appropriate tools or technology for the problem situation Uses tools or technology to simply the task		AEA9 AEA16