Kindergarten Math
Numbers and Operations
The student will identify, represent, order, and compare numbers and compute and solve problems.
Understanding Numbers/Representing Numbers/Relationships Among Numbers/Number Systems
Counting/Identifying/Matching/Ordering Numbers
⎯count how many objects are in a set (1-20) (K-M[HM/1,2,4,7,8] I/D)
⎯count to 50 by 1’s and 10’s (K-M[HM/1,2,4,7,8] I)
⎯count backward from 10 to 1 (K-M[HM/1,2,4,7,8] I)
⎯match quantities up to 20 with numerals (K-M[HM/1,2,4,7,8] I)
⎯recognize and identify equivalent sets of objects through the use of one-to-one correspondence (K-M[HM/1,2,4,7,8] I/D)
⎯identify and write numerals 0-20 (K-M[HM/1,2,4,7,8] I)
⎯represent quantities up to 20 on ten – frames (K-M[HM/1,2,4,7,8] I)
⎯determine if a figure has been divided into halves (K-M[HM/1,2,4,7,8] I)
⎯identify and name coins (penny, nickel, dime, quarter, and half dollar) and their values (K-M[HM/1,2,4,7,8] I/D)
⎯order numbers less than 20 I(K-M[HM/1,2,4,7,8] I)
⎯express the relationship between two numbers less than 20 using the words less than, more than, or equal to (K-M[HM/1,2,4,7,8] I)
⎯identify the position of a whole number less than 20 on a number line (K-M[HM/1,2,4,7,8] I)
⎯use the language of ordinal numbers up to tenth (K-M[HM/1,2,4,7,8] I)
Understand Meanings of Operations and Their Relationships to One Another
Teaching Strategies
⎯use concrete objects to develop strategies for addition and subtraction of whole numbers (K-M[HM/1,2,4,7,8] I)
⎯solve simple word problems involving whole numbers 0-10 using a variety of strategies (K-M[HM/1,2,4,7,8] I)
Solve Problems/Compute Fluently/Make Reasonable Estimates
Story Problems
⎯use words, actions, pictures, or concrete objects to solve problems (K-M[HM/1,2,4,7,8] I)
⎯use pictures or objects to show one more or one less than any number to 20 (K-M[HM/1,2,4,7,8] I)
⎯explain if the solution to a word problem is reasonable (K-M[HM/1,2,4,7,8] I)
Algebra
The student will sort and classify objects; create, extend, and describe patterns; and represent number sentences with words, objects, and pictures.
Sort and Classify by Size/Number/Other Properties
Mathematical Language
⎯use mathematical terms appropriately (K-M[HM/ALL] I)
Sort & Classify
⎯sort objects by color, size, shape, and kind (K-M[HM/ALL] I/D)
Represent and Analyze Patterns and Functions
Patterns
⎯identify patterns in the environment, in arrangements of objects, or in pictures (K-M[HM/ALL] I)
⎯recognize and extend a concrete, visual, or auditory two- or three-part repeating pattern (K-M[HM/ALL] I)
⎯create and describe a simple repeating pattern of numbers or figures (K-M[HM/ALL] I)
Utilization of Concrete , Pictorial, Verbal Representations
Addition and Subtraction
⎯use concrete objects or pictures to demonstrate addition and subtraction number sentences involving numbers 0 to 5 (K-M[HM/ALL] I)
⎯read and explain simple addition and subtraction number sentences (K-M[HM/ALL] I)
Illustrate Properties of Operations
Function Rules
⎯play the game “guess my rule” to teach the concept of determining the output number for a particular input number given a one-operation rule involving addition or subtraction (K-M-I)
Analyze Change in Various Contexts
Calendar Activities/Journaling
⎯analyze class graphs, calendars, schedules, and thermometers to determine change over time
⎯use math journals as a means of demonstrating understanding math concepts and terms to illustrate general properties of operations and to analyze change in various contexts. (K-M[HM/ALL] I)
Geometry
The student will identify, describe, and create basic shapes and describe relative positions and directions
Analyze Characteristics and Properties of Shapes
Match/Recognize/Name/Reproduce Shapes and Solids
⎯match, recognize, and name terms with given shapes (circles, squares, triangles, and rectangles) when shown in various positions (K-M[HM/3] I)
⎯recognize circles, squares, triangles, and rectangles in the environment and as faces of three-dimensional objects (K-M[HM/3] I)
⎯recognize basic properties of and similarities and differences between simple geometric figures (e.g., number of sides, corners) (K-M[HM/3] I)
⎯reproduce and create circles, squares, rectangles, and triangles (K-M[HM/3] I)
⎯reproduce and create structures using three-dimensional shapes (K-M[HM/3] I)
⎯combine two-dimensional shapes to make pictures (K-M[HM/3] I)
⎯introduce plane and solid figures (K-M[HM/3] I)
Specify Locations and Describe Spatial Relationships
Directionality Vocabulary
⎯recognize and show terms of relative position and direction in a variety of situations (e.g., over, under, forward, backward, between, right, and left) (K-M[HM/3] I)
Recognize and Apply Flips, Slides, and Turns
Symmetry
⎯introduce shapes that have a line of symmetry (K-M[HM/3] I)
Measurement
The student will apply measurement concepts of time, length, weight, capacity, and temperature.
Units of Measure/Measurable Attributes of Objects
Measuring/Weighing/Telling Time/Reading A Thermometer
⎯demonstrate understanding of the concept of length, capacity, and weight (K-M[HM/5,6] I)
⎯recognize and show which is larger/smaller, longer/shorter, taller/shorter, heavier/lighter or which holds more/holds less, when given two similar objects (K-M[HM/5,6] I)
⎯use words to describe time (e.g., day, night, morning, afternoon, yesterday, today, and tomorrow) (K-M[HM/5,6] I/D)
⎯use words to describe temperature (e.g., hot, warm, cool, and cold) (K-M[HM/5,6] I/D)
Techniques and Tools for Measurement
Estimation of Measurement/Recognize Tools for Measurement/Read A Visual Schedule
⎯measure and estimate length of an object using a variety of nonstandard units (K-M[HM/5,6] I)
⎯distinguish between light and heavy objects (K-M[HM/5,6] I)
⎯recognize clocks and watches as instruments for measuring time and tell time to the hour (K-M[HM/5,6] I)
⎯recognize a thermometer as a device to measure temperature (K-M[HM/5,6] I)
⎯recognize a calendar as a way of measuring time (K-M[HM/5,6] I/D)
⎯utilize a visual schedule to discuss elapsed time during the school day (K-M-IT)
⎯introduce different types of clocks: analog and digital (K-M[HM/2] I)
⎯introduce scales as a means to measure (K-M[HM/2] I)
Data Analysis and Probability
The student will make simple graphs using concrete objects and pictures and describe events as likely or unlikely
Develop, Select, and Use Methods to Collect, Organize, and Display Data
Graphing
⎯represent and compare data using concrete objects, pictures, and simple graphs (K-M[HM/2] I)
Probability
Chance Probability
⎯describe events related to students’ experiences as likely or unlikely (K-M[HM/2]I)
Computation
The student will learn to compute using concrete objects.
Counting/Identifying/Matching/Ordering Numbers
⎯count how many objects are in a set (1-20) (K-M[HM/1,2,4,7,8] I/D)
⎯count to 50 by 1’s and 10’s (K-M[HM/1,2,4,7,8] I)
⎯count backward from 10 to 1 (K-M[HM/1,2,4,7,8] I)
⎯match quantities up to 20 with numerals (K-M[HM/1,2,4,7,8] I)
⎯recognize and identify equivalent sets of objects through the use of one-to-one correspondence (K-M[HM/1,2,4,7,8] I/D)
⎯identify and write numerals 0-20 (K-M[HM/1,2,4,7,8] I)
⎯represent quantities up to 20 on ten – frames (K-M[HM/1,2,4,7,8] I)
⎯determine if a figure has been divided into halves (K-M[HM/1,2,4,7,8] I)
⎯identify and name coins (penny, nickel, dime, quarter, and half dollar) and their values (K-M[HM/1,2,4,7,8] I/D)
⎯order numbers less than 20 I(K-M[HM/1,2,4,7,8] I)
⎯express the relationship between two numbers less than 20 using the words less than, more than, or equal to (K-M[HM/1,2,4,7,8] I)
⎯identify the position of a whole number less than 20 on a number line (K-M[HM/1,2,4,7,8] I)
⎯use the language of ordinal numbers up to tenth (K-M[HM/1,2,4,7,8] I)
⎯use concrete objects to develop strategies for addition and subtraction of whole numbers (K-M[HM/1,2,4,7,8] I)
⎯solve simple word problems involving whole numbers 0-10 using a variety of strategies (K-M[HM/1,2,4,7,8] I)
⎯use concrete objects or pictures to demonstrate addition and subtraction number sentences involving numbers 0 to 5 (K-M[HM/ALL] I)
⎯read and explain simple addition and subtraction number sentences (K-M[HM/ALL] I)
Real World Problem Solving
The student will gather information to compute and solve real world problems.
Story Problems
⎯solve simple word problems involving whole numbers 0-10 using a variety of strategies (K-M[HM/1,2,4,7,8] I)
⎯use words, actions, pictures, or concrete objects to solve problems (K-M[HM/1,2,4,7,8] I)
⎯use pictures or objects to show one more or one less than any number to 20 (K-M[HM/1,2,4,7,8] I)
⎯explain if the solution to a word problem is reasonable (K-M[HM/1,2,4,7,8] I)
Graphs and Graphing
The student will make simple graphs using concrete objects and pictures.
Graphing
⎯represent and compare data using concrete objects, pictures, and simple graphs (K-M[HM/2] I)
