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MATHEMATICS CONTENT STANDARDS GRADE 1 The following concepts and skills should be mastered by all students upon completion of first grade. The Major Concepts should be taught in depth using a variety of methods, applications, and connections to other concepts when possible so that all students have accessibility to and an understanding of these concepts. MAJOR CONCEPTS • Develop an understanding of whole number relationships, including grouping tens and ones. • Develop an understanding of addition and subtraction. Acquire strategies for basic addition and subtraction facts. • Recognize and describe basic two- and three-dimensional shapes. First Grade Suggested Materials Kit: snap cubes, keys, fabric, macaroni, buttons, pattern blocks, children’s books, counters, beans, base-10 blocks, dominoes, calculators, geoboards, tangrams, attribute blocks, straws, containers, balance scales, rulers, coins, clocks, graph mats, painted beans or two-color counters, fraction circles, fraction squares Standard 1: Algebraic Reasoning: Patterns and Relationships - The student will use a variety of problem-solving approaches to model, describe and extend patterns. 1. Describe, extend and create patterns using concrete objects (e.g., sort a bag of objects by attributes and orally communicate the pattern for each grouping). 2. Describe, extend and create patterns with numbers in a variety of situations (e.g., addition charts, skip counting, calendars). 3. Demonstrate number patterns by counting as many as 100 objects by 1’s, 2’s, 5’s and 10’s. 4. Recognize and apply the commutative and identity properties of addition using models and manipulatives to develop computational skills (e.g., 2 + 4 = 4 + 2, 3 + 0 = 3). Grade 1 Curriculum - Math Content Standards Page 1
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Standard 2: Number Sense and Operation - The student will read, write and model numbers and number relationships. The student will use models to construct basic addition and subtraction facts with whole numbers. 1. Number Sense a. Use concrete models of tens and ones to develop the concept of place value. b. Compare objects by size and quantity (e.g., more than, less than, equal to). c. Read and write numerals to 100. d. Manipulate physical models and recognize graphical representation of fractional parts (e.g., halves, thirds, fourths). 2. Number Operations a. Develop and apply the concepts of addition and subtraction. i. Use models to construct addition and subtraction facts with sums up to twenty (e.g., counters, cubes). ii. Perform addition by joining sets of objects and subtraction by separating and by comparing sets of objects. iii. Demonstrate fluency (i.e., memorize and apply) with basic addition facts to make a maximum sum of 10 and the associated subtraction facts (e.g., 7+3=10 and 10-3=7). b. Write addition and subtraction number sentences for problem-solving situations. c. Acquire strategies for making computations using tens and ones to solve two- digit addition and subtraction problems without regrouping (e.g., use estimation, number sense to judge reasonableness, counting on, use base-ten blocks). Standard 3: Geometry - The student will use geometric properties and relationships to recognize and describe shapes. 1. Sort and identify congruent shapes. 2. Identify, name, and describe two-dimensional geometric shapes (including rhombi) and objects in everyday situations (e.g., the face of a round clock is a circle, a desktop is a rectangle). 3. Identify, name and describe three-dimensional geometric shapes (including cones) and objects in everyday situations (e.g., a can is a cylinder, a basketball is a sphere). 4. Use language to describe relationships of objects in space (e.g., above, below, behind, between). Grade 1 Curriculum - Math Content Standards Page 2
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Standard 4: Measurement - The student will develop and use measurement skills in a variety of situations. 1. Linear Measurement: Measure objects with one-inch tiles and with a standard ruler to the nearest inch. 2. Time a. Tell time on digital and analog clocks on the hour and half-hour. b. Develop the concepts of days, weeks, and months using a calendar. 3. Money: Identify and name the value of pennies, dimes, nickels, and quarters. Standard 5: Data Analysis - The student will demonstrate an understanding of data collection and display. 1. Data Analysis a. Organize, describe, and display data using concrete objects, pictures, or numbers. b. Formulate and solve problems that involve collecting and analyzing data common to children’s lives (e.g., color of shoes, numbers of pets, favorite foods). Grade 1 Curriculum - Math Content Standards Page 3
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