1.M1:1 Demonstrates conceptual understanding of rational numbers with respect to
1.M1:1.1 whole numbers from 0 to 100 using place value (a grouping system wherein a digit's place in a number denotes its value; e.g., in 34, 3 represents 3 tens, or 30); by applying the concepts of equivalency in composing or decomposing numbers (e.g., 12 = 7 + 5); and in expanded notation (e.g., 41 = 4 tens + 1 one or 41 = 40 + 1) using models, explanations, or other representations. Shows correct sequence of ordinal and cardinal numbers and compares cardinal numbers and
1.M1:1.2 positive fractional numbers (benchmark fractions: a/2, a/3, or a/4 where a is a whole number greater than 0 and less than or equal to the denominator) as part/whole relationships of benchmark fractions with models, diagrams, or written or verbal/scribed response.
1.M1:2 Demonstrates understanding of the relative magnitude of numbers from 0 to 100 by ordering whole numbers; by comparing whole numbers to each other or to benchmark numbers (10, 25, 50); by showing the relationship between whole numbers (1 more, 1 less; 10 more, 10 less); or by connecting number words and numerals to the quantities they represent using models, representations, or number lines.
1.M1:3 Demonstrates conceptual understanding of mathematical operations involving addition and subtraction by solving problems involving situations in which one adds to, takes from, puts together, and takes apart, or adds.
1.M1:8 Applies properties of numbers (odd, even, composition/decomposition [5 is the same as 2 + 3]) and operations (commutative, identity) to solve problems and to simplify computations involving whole numbers.
1.M1:9 Uses attributes, composition, or decomposition to sort or classify polygons (triangles, squares, rectangles, rhombi, trapezoids, and hexagons) or objects by a combination of two nonmeasurable or measurable attributes. Recognizes and names polygons and circles in their environment.
1.M1:18 Find and name locations with simple relationships (i.e., near, far, above, below, next to, up, down, right, left).
1.7.8 Functions and Algebra Concepts
1.M1:19 Identifies and extends to specific cases a variety of patterns including sequences of shapes, sounds, movement, colors, letters, and numbers by extending the pattern to the next one, two, or three elements.
1.M1:20 Demonstrates a conceptual understanding of linear relationships (y = kx) as a constant rate of change qualitatively (growth-student growing taller) and quantitatively (measurable growth-2 inches each year).
1.M1:22 Demonstrates conceptual understanding of equality by showing equivalence between two expressions (4+1=5; 2+3=5) by solving one-step equations involving whole number addition or subtraction using models, verbal explanations, or written equations.
1.M1:23 Interprets a given representation (models, tally charts, pictographs with one-to-one correspondence, and tables) through written or verbal/scribed response to answer questions related to the data, or to analyze the data to formulate conclusions.
1.M1:25 Organizes and displays data using diagrams, models, or tally charts through written or verbal/scribed response to answer questions related to the data, to analyze the data to formulate conclusions.
1.M1:27 For a probability event in which the sample space may or may not contain equally likely outcomes, uses experimental probability to describe the likelihood or chance of an event (using "more likely," "less likely").