Math Return to index Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5

Kindergarten   STANDARDS AND BENCHMARKS Standard #1: Understands various strategies and processes used to solve problems and to communicate mathematical ideas Proficiency is demonstrated when the learner: MTHK.1.1 Uses problem-solving approaches to investigate and understand mathematical content MTHK.1.2Understands and communicates mathematical ideas in a variety of ways Standard #2: Understands the concepts of numbers, numeration, and number theory MTHK.2.1 Understands our whole number system: standard numerals and ordinals MTHK.2.2  Recognizes equal parts and fractions Standard #3: Understands number operations and the processes of computation MTHK.3.1 Adds and writes equations for whole numbers MTHK.3.2  Selects and uses an appropriate method for computing MTHK.3.3 Recognizes real-world situations in which a number operation would be useful Standard #4: Understands the concepts of measurement MTHK.4.1  Understands basic units and processes of measurement (non-standard, standard) Standard #5: Understands the concepts of geometry and spatial sense MTHK.5.1      Knows the basic properties of simple geometric shapes MTHK.5.2      Understands geometric and spatial language MTHK.5.3      Understands that different shapes and patterns can be created Standard #6: Understands the concepts of statistics, data analysis, and probability MTHK.6.1      Interprets information about real-world objects or events Standard #7: Understands the properties of patterns and functions and the concepts of algebra MTHK.7.1      Understands basic patterns and relationships MTHK.7.2      Uses simple equations and inequalities in a variety of ways Content Standard #1:  Understands various strategies and processes used to solve problems and to communicate mathematical ideas BENCHMARKS K-2 K  1  2   X X X MTHK.1.1  Uses problem-solving approaches to investigate and understand mathematical content X X X MTHK.1.2  Understands and communicates mathematical ideas in a variety of ways   SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Knows and uses numbers and pictures for problem solving through 10 #Explains and/or demonstrates how a problem was solved Activity 1:  Associates numbers to pictures and pictures to numbers Activity 2:  Acts out problems using adding and patterning Activity 3:  Uses manipulatives for adding and patterning Content Standard #2:   Understands the concepts of numbers, numeration, and number theory BENCHMARKS K-2 K  1  2     X X Applies reasonable estimation in working with quantities, measurement, and problem solving X X X MTHK.2.1 Understands our whole number system: standard numerals and ordinals X X   MTHK.2.2  Recognizes equal parts and fractions   X   Recognizes standard numerals, ordinals and place value     X Understands fractions and place value concepts SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Counts 0-50 orally #Writes 0-10 with understanding #Forms numerals 0-10 correctly #Identifies, visually, the numerals 0-30 #Understands one-to-one correspondence (0-10) #Understands ordinals 1st, 2nd, 3rd, 4th, 5th #Understands quantitative vocabulary larger/smaller more/less taller/shorter #Knows fractions visually whole, l/2 Activity 1: Uses scales to measure quantity Activity 2: Uses visual contrasts (objects, pictures) to estimate Activity 3: Uses calendar and school days for counting Activity 4: Counts a variety of objects Activity 5:  Uses ordinals in everyday activities Content Standard #3:   Understands number operations and the processes of computation BENCHMARKS K-2 K  1  2     X X Knows basic addition and subtraction facts to improve problem solving strategies X X X MTHK.3.1  Adds and writes equations for whole numbers X X X MTHK.3.2  Selects and uses an appropriate method for computing X X X MTHK.3.3 Recognizes real-world situations in which a number operation would be useful SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Demonstrates, with manipulatives, facts to 5 #Adds and writes whole number equations to 5 #Computes using mental arithmetic and manipulatives and determines whether results are reasonable and/or accurate #Uses real world situations: counting objects Activity 1: Plays in play centers (e.g., playhouse, trucks, trains, blocks, math games, grocery store, post office) Activity 2: Uses manipulatives for adding Activity 3: Writes whole number equations to 5 when using manipulatives Activity 4:  Counts out materials during everyday class activities (e.g., number of napkins, number of treats) Content Standard #4:   Understands the concepts of measurement BENCHMARKS K-2 K  1  2   X     MTHK.4.1  Understands basic units and processes of measurement (non-standard)   X X Understands basic units and processes of measurement (non-standard, standard, metric) SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Uses terms:  taller, shorter, longer, heavier, heavy and lighter #Demonstrates knowledge of the use of non-standard measurement #Introduce concept of standard measurements #Uses terms:  penny, nickel, dime, quarter, dollar, inch, foot, yard, and hour #Recognizes, visually, the following coins:  penny, nickel, dime, and quarter #Demonstrates knowledge of telling time to the hour Activity 1: Compares heights of students Activity 2: Uses balance scale to compare weight Activity 3:  Uses play in grocery store to recognize money and symbols (e.g., $, etc.) Activity 4:  Uses manipulatives to measure various classroom materials (e.g., paper clips, unifix cubes, etc.) Activity 5: Uses Judy clock to teach to the hour Activity 6: Explores concept of volume and liquid capacity using a rice table and/or water table Content Standard #5:   Understands the concepts of geometry and spatial sense BENCHMARKS K-2 K  1  2   X X X MTHK.5.1  Knows the basic properties of simple geometric shapes X X X MTHK.5.2   Understands geometric and spatial language X X X MTHK.5.3  Understands that different shapes and patterns can be created SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Identifies basic shapes: square, rectangle, circle, oval, triangle, diamond #Understands and uses position terms: inside, outside, between, above, below, behind, in front of #Demonstrates with manipulatives to show and understand patterns -Patterns - 3 labeled components Activity 1:  Plays a variety of games to recognize basic shapes (e.g., Memory shape game, Shape Bingo) Activity 2:  Participates in a variety of experiences using position terms (e.g., flannel board, phy ed partners) Activity 3: Uses pattern blocks Activity 4: Creates a variety of patterns using unifix cubes Content Standard #6:   Understands the concepts of statistics, data analysis, and probability BENCHMARKS K-2 K  1  2   X X X MTHK.6.1  Interprets information about real-world objects or events   X X Recognizes that some events are more likely to happen than others SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Interprets bar graphs, pictographs, and concrete graphs #Collects data for analysis #Introduce the concept of chance Activity 1: Uses weather charts - using bar graphs and pictographs Activity 2: Graphs likes and dislikes Activity 3:Constructs concrete graphs (e.g., graphing M&M colors, boys and girls, clothing) Activity 4: Uses concepts of chance heads and tails games with dice or spinners Content Standard #7:   Understands the properties of patterns and functions and the concepts of algebra BENCHMARKS K-2 K  1 2   X X X MTHK.7.1   Understands basic patterns and relationships X     MTHK.7.2   Uses simple equations in a variety of ways   X X  Uses simple equations and inequalities in a variety of ways SCOPE AND SEQUENCE CORE KNOWLEDGE AND SKILLS PERFORMANCE ACTIVITIES - EXAMPLES #Recognizes, describes, extends, analyzes, and creates a wide variety of patterns #Skip counts by 10's #Solves simple open sentences that involves addition of whole numbers to 10 Activity 1:Uses patterning (e.g., calendar, unifix cubes, environment, rhythmic activities) Activity 2: Skip counts by 10 (e.g., number line, number chart, number of days in school activities) Activity 3:Uses number sentence (e.g., stories, real life situations)