Common Core State Standards Brief Summary of Major Differences Compared with Idaho Content Standards Kindergarten: Count to 100 vs. 31, start at any number, write numbers 0 -20 and count objects in scattered locations Add and subtract within 10 and solve word problems; fluently add and subtract within 5 Compose and decompose numbers 11 – 19 for place value Identify shapes as two or three-dimensional, describe similarities and differences, compose simple shapes from larger shapes Crosswalk CCSS to ID Standards Grade K: Counting & Cardinality Know number names and the count sequence. Standards Mathematical Practices Students are expected to: K.CC.1. Count to 100 by ones and by MP6: Attend to precision. tens MP7: Look for and make use of structure. K.CC.2. Count forward beginning MP6: Attend to precision. from a given number within the known sequence (instead of having to MP7: Look for and make use begin at 1). of structure. K.CC.3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). Count to tell the number of objects Standards K.CC.4. Understand the relationship Lewiston School District July 2011 Idaho Content Standards Standard 1.1.1: Demonstrate knowledge of our numeration system by counting forward by ones to at least 31. MP8: Look for and express regularity in repeated reasoning. MP2: Reason abstractly and quantitatively. MP6: Attend to precision. Mathematical Practices MP1: Make sense of problems Idaho Content Standards Standard 1.1.2: Show the verbal, symbolic, and physical representations Page 1 between numbers and quantities; connect counting to cardinality. When counting objects, say the number names in the standards order, pairing each object with one and only one number name and each number name with one and only one object. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. Understand that each successive number name refers to a quantity that is one larger. and persevere in solving them. K.CC.5. Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. Compare Numbers Standards K.CC.6. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by MP2: Reason abstractly and quantitatively. Lewiston School District July 2011 of a number up to 10. MP2: Reason abstractly and quantitatively. MP7: Look for and make use of structure. Standard 1.1.5: Use appropriate vocabulary. MP6: Attend to precision. Mathematical Practices MP 1: Make sense of problems and persevere in solving them. MP2: Reason abstractly and quantitatively. Idaho Content Standards Standard 3.1.2: Compare sets of objects using vocabulary (less than, greater than, and same as). Page 2 using matching and counting strategies.1 Grade K: Operations & Algebraic Thinking Understand addition as putting together and adding to, and understanding subtraction as taking apart and taking from. Standards Mathematical Practices Idaho Content Standards Students are expected to: K.OA.1. Represent addition and MP4: Model with Standard 1.2.1: Use concrete objects to illustrate the concepts of subtraction with objects, fingers, mathematics. addition and subtraction. mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. K.OA.2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. K.OA.3. Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). Lewiston School District July 2011 MP1: Make sense of problems and persevere in solving them. MP2: Reason abstractly and quantitatively. MP4: Model with mathematics. Page 3 K.OA.4. For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. K.OA.5. Fluently add and subtract within 5. MP4: Model with mathematics. MP6: Attend to precision. Grade K: Number & Operations in Base Ten Work with numbers 11-19 to gain foundations for place value. Standards Mathematical Practices Students are expected to: K.NBT.1. Compose and decompose MP1: Make sense of problems numbers from 11 to 19 into ten ones and persevere in solving them. and some further ones, e.g., by using objects or drawings, and record each MP2: Reason abstractly and composition or decomposition by a quantitatively. drawing or equation (such as 18 = 10 + 8); understand that these numbers MP4: Model with are composed of ten ones and one, mathematics. two, three, four, five, six, seven, eight, or nine ones. Idaho Content Standards Grade K: Measurement & Data Describe and compare measurable attributes. Standards Mathematical Practices Students are expected to: K.MD.1. Describe measurable MP1: Make sense of problems attributes of objects, such as length or and persevere in solving them. weight. Describe several measurable attributes of a single object. K.MD.2. Directly compare two MP1: Make sense of problems objects with a measurable attribute in and persevere in solving them. Lewiston School District July 2011 Idaho Content Standards Standard 2.1.1: Compare the lengths or sizes of objects (e.g., longer, shorter, larger, smaller). Standard 2.1.1: Compare the lengths or sizes of objects (e.g., longer, shorter, larger, smaller). Page 4 common, to see which object has “more of”/“less of” the attribute, and MP2: Reason abstractly and describe the difference. For example, quantitatively. directly compare the heights of two children and describe one child as taller/shorter. Classify objects and count the number of objects in each category. Standards Mathematical Practices K.MD.3. Classify objects into given MP2: Reason abstractly and categories; count the numbers of quantitatively. objects in each category and sort the categories by count. MP6: Attend to precision. Idaho Content Standards Standard 1.2.1: Use concrete objects to illustrate the concepts of addition and subtraction. Grade K: Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres. Standards Mathematical Practices Idaho Content Standards K.G.1. Describe objects in the MP1: Make sense of problems Standard 4.3.1: Describe the location of an object relative to another environment using names of shapes, and persevere in solving them. (e.g., next to, under, over, behind). and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. K.G.2. Correctly name shapes MP2: Reason abstractly and Standard 4.1.1: Recognize, name, compare, and sort two and threeregardless of their orientations or quantitatively. dimensional shapes (triangle, rectangle, square, circle, cone, cube). overall size. MP7: Look for and make use of structure. K.G.3. Identify shapes as twoMP2: Reason abstractly and Standard 4.1.1: Recognize, name, compare, and sort two and threedimensional (lying in a plane, “flat”) quantitatively. dimensional shapes (triangle, rectangle, square, circle, cone, cube). or three-dimensional (“solid”). MP7: Look for and make use of structure. Analyze, compare, create, and compose shapes. Standards Mathematical Practices Idaho Content Standards K.G.4. Analyze and compare two- and MP2: Reason abstractly and Standard 4.1.1: Recognize, name, compare, and sort two and threethree-dimensional shapes, in different quantitatively. dimensional shapes (triangle, rectangle, square, circle, cone, cube). Lewiston School District July 2011 Page 5 sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length). K.G.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. K.G.6. Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?” MP4: Model with mathematics. MP1: Make sense of problems and persevere in solving them. MP2: Reason abstractly and quantitatively. MP4: Model with mathematics. Lewiston School District July 2011 Page 6