Hale County Schools Math 2010 COS Kindergarten Overview 2013 – 2014 Counting and Cardinality [CC] • Know number names and the count sequence. • Count to tell the number of objects. • Compare numbers. Operations and Algebraic Thinking [OA] • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Number and Operations in Base Ten [NBT] • Work with numbers 11–19 to gain foundations for place value. Measurement and Data [MD] • Describe and compare measurable attributes. • Classify objects and count the number of objects in categories. Geometry [G] • Identify and describe shapes. • Analyze, compare, create, and compose shapes. Key: CCRS indicates 2010 Math Course of Study Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Hale County School System Kindergarten Math Date 1st 9 weeks Aug. 19 – Oct 17 MP 3 5 Resource Lessons: 1.1 , 1.3, 1.5 CC.K.4a Ch 1 – 17 days CCRS K.4a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. [KCC4a] I Can… Vocabulary say the number as I count each object. 1.1 one, two, match 1.3 three, four, match 1.5 five Write the numbers from 0 to 20. 1.2 one, two 1.4 three, four 1.9 zero, fewer, more 1.10 zero Aug 21- Sept. 13 Lessons: 1.2, 1.4, 1.9, 1.10 CC.K.CC.3 Lesson: 1.6 CC.K.CC.4b Lesson: 1.7 CC.K. OA.3 Lesson: 1.8 CC.K. CC.4c K.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.) [K-CC3] K.4b. 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. [KCC4b] K.10. 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.) [K-OA3] K.4c. Understand that each successive number name refers to a quantity that is one larger. [K-CC4c] understand the last number I said is the total number of objects I counted. 1.6 five break apart numbers into pairs in many ways. 1.7 pairs, and, one, two, three, four, five understand that each number name is one more than the last number name. 1.8 larger, one, two, three, four, five 2 Hale County School System Kindergarten Math Date 1st 9 weeks Aug 19 – Oct 17 Ch 2 8 days Sept 16-Sept 25 MP 6 7 Resource Lessons: 2.1 – 2.5 CC.K.CC.6 CCRS K.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 using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6] I Can… compare groups of objects to decide which is greater than, less than, or equal to Vocabulary 2.1 same number, compare, match 2.2 greater, compare, more 2.3 less, fewer, compare 2.4 match, same number, greater, less, more, fewer, compare 2.5 compare, one, two, three, four, five 3 Hale County School System Kindergarten Math Date 1st 9 weeks Aug 19 – Oct 17 MP 5 8 Resource CCRS I Can… Lessons: 3.1, 3.3, 3.5, 3.7 CC.K.CC.5 K.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 1-20, count out that many objects. [K-CC5] count objects to answer questions. Lessons: 3.2, 3.4, 3.6, 3.8 CC.K.CC.3 K.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.) [K-CC3] write the numbers from 0 to 20. Lesson: 3.9 CC.K.CC.6 K.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 using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6] compare groups of objects to decide which is greater than, less than, or equal to Vocabulary 3.1 six, match 3.1 seven, match 3.5 eight, match 3.7 nine Ch. 3 12 days Sept 26 – Oct 11 3.2 six 3.4 seven 3.6 eight 4 Hale County School System Kindergarten Math Date 2nd 9 weeks Oct 18 – Dec 20 MP 6 7 Resource Lessons: 4.1 CC.K.CC.5 Ch 4 - 10 days Oct 14 – Oct 25 Lesson: 4.2 CC.K.CC.3 Lesson: 4.3 CC.K.OA.4 Lesson: 4.4 CC.K.CC.2 Lessons: 4.5, 4.6 CC.K.CC.6 Lesson: 4.7 CC.K.CC.7 CCRS I Can… K.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 1-20, count out that many objects. [K-CC5] count objects to answer questions. K.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.) [K-CC3] write the numbers from 0 to 20. K.11. 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. [KOA4] make combinations of 10 using two numbers. show what number is needed to add to another number to make 10. count starting with any number. K.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [K-CC2] Vocabulary 4.1 ten, match 4.2 ten K.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 using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6] compare groups of objects to decide which is greater than, less than, or equal to K.7. Compare two numbers between 1 and 10 presented as written numerals. [K-CC7] compare two written numerals to decide which is greater than, less than, or equal to. 4.3 and, pairs, one, two, three, four, five, six, seven, eight, nine, ten 4.4 one, two, three, four, five, six, seven, eight, nine, ten 4.5 compare, greater, less, match, one, two, three, four, five, six, seven, eight, nine, ten 4.6 compare, greater, less, one, two, three, four, five, six, seven, eight, nine, ten 4.7 greater, less, one, two, three, four, five, six, seven, eight, nine, ten 5 Hale County School System Kindergarten Math Date 2nd 9 weeks Oct 18-Dec 20 MP 2 4 Resource Lessons: 5.1, 5.2, 5.3 CC.K.OA.1 Ch 5 - 20 days CCRS I Can… Vocabulary K.8. Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards,)) sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. [K-OA1] show addition. show subtraction. 5.1 add 5.2 plus 5.3 is equal to, plus K.12. Fluently add and subtract within 5. [K-OA5] quickly add numbers up to 5. quickly subtract numbers within 5. 5.4 plus, is equal to 5.6 plus, is equal to K.11. 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. [KOA4] make combinations of 10 using two numbers. show what number is needed to add to another number to make 10. 5.5 plus, is equal to Oct 28 – Nov 29 Lessons: 5.4, 5.6, CC.K.OA.5 Lesson: 5.5 CC.K.OA.4 Lesson: 5.7 CC.K.OA.2 Lessons: 5.8, 5.9, 5.10, 5.11, 5.12 CC.K.OA.3 K.9. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [K-OA2] K.10. 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.) [K-OA3] 5.7 plus, is equal to add to solve word problems. subtract to solve word problems. break apart numbers into pairs in many ways. 5.8 plus, is equal to, one, two, three, four, five, pair 5.9 plus, is equal to, one, two, three, four, five, pair, six, seven 5.10 plus, is equal to, one, two, three, four, five, pair, six, seven, eight 5.11 plus, is equal to, one, two, three, four, five, pair, six, seven, eight 5.12 plus, is equal to, one, two, three, four, five, pair, six, seven, eight, nine, ten 6 Hale County School System Kindergarten Math Date 2nd 9 weeks Oct 18 – Dec 20 MP 1 2 CCRS I Can… Lessons: 6.1, 6.2, 6.3 CC.K.OA.1 Resource K.8. Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards,)) sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. [K-OA1] use objects and drawings to add a number to another number to make 10. Lessons: 6.4, 6.5 CC.K.OA.5 K.12. Fluently add and subtract within 5. [K-OA5] Ch 6 - 13 Days Vocabulary 6.1 subtract 6.2 minus 6.3 is equal to, minus Dec 2 – Dec 18 Lessons: 6.6, 6.7 CC.K.OA.2 quickly add numbers up to 5. quickly subtract numbers within 5. K.9. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [K-OA2] add to solve word problems. subtract to solve word problems. 6.4 is equal to, minus 6.5 is equal to, minus 6.6 is equal to, minus 6.7 plus, is equal to, minus 7 Hale County School System Kindergarten Math Date 3rd 9 Weeks Jan. 3 – March 11 Ch 7 – 15 days MP 4 8 Resource Lessons: 7.1, 7.3, 7.5, 7.7, 7.9 CC.K.NBT.1 Jan 6 – Jan 24 Lessons: 7.2, 7.4, 7.6, 7.8, 7.10 CC.K.CC.3 CCRS I Can… Vocabulary K.13. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 +8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. [K-NBT1] show how the numbers 11-19 are made of ten ones and more ones. 7.1 eleven, twelve, ones 7.3 thirteen, fourteen, ones 7.5 fifteen, ones 7.7 sixteen, seventeen, ones 7.9 eighteen, nineteen, ones K.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.) [K-CC3] write the numbers from 0 to 20. 7.2 eleven, twelve 7.4 thirteen, fourteen 7.6 fifteen 7.8 sixteen, seventeen 7.10 eighteen, nineteen 8 Hale County School System Kindergarten Math Date 3rd 9 weeks MP 4 5 Resource CCRS I Can… Lesson: 8.1 CC.K.CC.5 K.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 1-20, count out that many objects. [K-CC5] count objects to answer questions. 8.1 twenty Lesson: 8.2 CC.K.CC.3 K.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.) [K-CC3] write the numbers from 0 to 20. 8.2 twenty count starting with any number. Lesson: 8.3 CC.K.CC.2 K.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1.) [K-CC2] 8.3 one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty compare groups of objects to decide which is greater than, less than, or equal to 8.4 one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty Jan 3 – March 11 Vocabulary Ch 8 - 12 days Jan 27 – Feb 11 Lesson: 8.4 CC.K.CC.6 K.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 using matching and counting strategies. (Include groups with up to ten objects.) [K-CC6] K.1. Count to 100 by ones and by tens. [K-CC1] Lessons: 8.5, 8.6, 8.7, 8.8 CC.K.CC.1 count to 100 by ones. count to 100 by tens. 8.5 fifty 8.6 one hundred 8.7 tens 8.8 tens 9 Hale County School System Kindergarten Math Date 3rd 9 weeks Jan 3 – Mar 11 Ch 9 - 16 days MP 3 7 Resource CCRS I Can… Vocabulary Lessons: 9.1, 9.3, 9.5, 9.7, 9.9 CC.K.G.2 K.18. Correctly name shapes regardless of their orientations or overall size. [K-G2] name shapes. 9.1 circle, two-dimensional shapes 9.3 corners, sides, square, vertex, vertices, twodimensional shapes 9.5 triangle, two-dimensional shapes 9.7 rectangle, sides of equal length, two-dimensional shapes 9.9 hexagon, two-dimensional shapes Lessons: 9.2, 9.4, 9.6, 9.8, 9.10, 9.11 CC.K.G.4 K.20. Analyze and compare two- and three-dimensional shapes, in different 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-G4] describe how shapes are alike and different. 9.2 curve, circle 9.4 sides of equal length, corners, sides, square, vertex, vertices 9.6 corners, sides, triangle, vertex, vertices 9.8 rectangle, sides, sides of equal length, vertex, vertices, corners 9.10 corners, hexagon, sides, vertex, vertices 9.11 alike, different, twodimensional shapes K.22. Compose simple shapes to form larger shapes. [K-G6] build and draw shapes. put shapes together to make another shape. Feb 17 – Mar 11 Lesson: 9.12 CC.K.G.6 10 Hale County School System Kindergarten Math Date 4th 9 weeks March 12 – May 23 MP 3 7 Resource Lesson: 10.1 CC.K.G.4 Ch 10 - 18 days CCRS I Can… K.20. Analyze and compare two- and three-dimensional shapes, in different 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-G4] describe how shapes are alike and different. 10.1 flat surface, curved surface, roll, stack, slide Vocabulary name shapes. 10.2 sphere, threedimensional shapes, curved shapes 10.3 cube, three-dimensional shapes, flat surface 10.4 cylinder, threedimensional shapes, flat surface, curved surface 10.5 cone, three-dimensional shapes, flat surface, curved surface Mar 12 – Apr 4 Lessons: 10.2, 10.3, 10.4, 10.5 CC.K.G. 2 K.18. Correctly name shapes regardless of their orientations or overall size. [K-G2] Lesson: 10.6 CC.K.G.3 K.19. Identify shapes as two-dimensional (lying in a plane, ‘flat’) or three-dimensional (‘solid’). [K-G3] tell if a shape is flat or solid. 10.6 flat, solid, threedimensional shapes, twodimensional shapes Lessons: 10.7, 10.8, 10.9 CC.K.G.1 K.17. Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] describe objects around me by their shape and where they are found. 10.7 above, below 10.8 beside, next to 10.9 in front of, behind Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. [K-G5] I can build and draw shapes. 11 Hale County School System Kindergarten Math Date 4th 9 weeks Mar 12 – May 23 MP 1 6 Resource CCRS I Can… Vocabulary Lessons: 11.1, 11.2, 11.3, 11.4 CC.K.MD.2 K.15. Directly compare two objects with a measurable attribute in common, to see which object has ‘more of’/’less of’ the attribute, and describe the difference. [K-MD2] compare two objects. 11.1 longer, same length, shorter 11.2 same height, taller, shorter 11.3 longer, same height, same length, shorter, taller 11.4 heavier, lighter, same weight Lesson: 11.5 CC.K.MD.1 K.14. Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. [K-MD1] Describe objects. 11.5 heavier, lighter, longer, shorter, taller Ch 11 - 10 days Apr 7 – Apr 18 12 Hale County School System Kindergarten Math Date 4th 9 weeks Mar 12 – May 23 Ch 12 - 15 days Apr 21 – May 9 MP Resource CCRS 2 3 Lessons: 12.1, 12,2, 12.3, 12.4, 12.5, 12.6 CC.K.MD.3 K.16. Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. (Limit category counts to be less than or equal to 10.) [K-MD3] I Can… sort and count objects. Vocabulary 12.1 blue, category, classify, color, green, red, yellow 12.2 shape, category, classify 12.3 big, size, small, category, classify 12.4 graph, category, classify 12.5 category, classify, graph 13 Hale County School System Kindergarten Math Standards Not Addressed in Kindergarten C&CR Teachers will introduce and teach these skills as their schedules allow K.N.3 Recognize that a whole object can be divided into parts. K.N.3.1 Dividing a whole object into equal parts. K.N.4 Identify a penny, nickel, dime, and quarter. K.A.5 Replicate patterns using concrete objects. K.M.9 Use vocabulary associated with the measurement of time, including words related to clocks and calendars. 14 Hale County School System Kindergarten Math Formative Assessment Standards First 9 Weeks Second 9 Weeks Third 9 Weeks Fourth 9 Weeks K.CC 4a K.CC 5 K.NBT 1 K.G 4 K.CC 3 K.CC 3 K.CC 3 K.G 2 K.CC 4b K.OA 4 K.CC 5 K.G 3 K.OA 3 K.CC 2 K.CC 2 K.G 1 K.CC 4c K.CC 6 K.CC 6 K.G 5 K.CC 6 K.CC 7 K.CC 1 K.MD 2 K.CC 5 K.OA 1 K.G 2 K.MD 1 K.OA 5 K.G 4 K.MD 3 K.OA 4 K.G 6 K.OA 2 K.OA 3 15 Hale County School System Kindergarten Math 16