North Kitsap CCSSM/Math Expressions Kindergarten Standards by Trimester Sept. 1, 2016 Standards for Mathematical Practices 1. Makes sense of problems & persevere in solving them. 2. Reason abstractly & quantitatively. 3. Construct viable arguments & critique others. 4. Model with mathematics. **See Page 4 for info about End of Year Grading** 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. 1st Tri. (MX Units 1 & 2) Sept. – Dec. 2nd Tri. (MX Units 3 & 4) Dec. – Mar. 3rd Tri. (MX Units 4 & 5) Mar.- June Domain: K.CC: Counting & Cardinality: Cluster A: Know number names and the count sequence. K.CC.1 & Count to 100 by ones and by tens & Count to 33 by ones. K.CC.2 Count forward beginning from a given number within the known AND sequence (instead of having to begin at 1). Start counting 15 & count to 20. K.CC.3 Write numbers from 0 to 20. Represent a number of objects Write numerals 1-10. with a written numeral 0-20 (with 0 representing a count of no Numerals should be objects). legible, in order, with no more than 2 reversals. Cluster B: Count to tell the number of objects. K.CC. Shows one to one correspondence when counting objects. Count a set of object Understand the relationship between numbers and quantities; connect 4 a-c & using 1 to 1 counting to cardinality. K.CC.5 correspondence. a) 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. b) 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. c) Understand that each successive number name refers to a quantity that is one larger. Count to 66 by ones. AND Start counting at 36 & count to 41. Write numerals 11-20. Numerals should be legible, in order, with no more than 2 reversals. Count to 100 by ones. AND Count to 100 by tens. Count out a given number of objects using 1 to 1 correspondence. *Continue to check for understanding. Skill is not graded this tri. Should be able to explain how many without recounting and be able to tell what one more would be. Should be able to explain how many without recounting and be able to tell what one more would be. *Check for understanding using formative assessments found in text. Skill is not graded this tri. *Continue to check for understanding. Skill is not graded this tri. Represent a number of objects with a written numeral 0-20. (ex. U5L4 SAB p 216) 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. Cluster C: Compare numbers. K.CC.6 & Identify whether the number of objects in one group is greater K.CC.7 than, less than, or equal to the number of objects in another group, & compare two numbers between 1 and 10 presented as written numerals. Compare two numbers between 1 and 10 presented as written numerals (using greater than, less than or equal). See Unit 5L20 TEp554-555. Page 1 of 5 North Kitsap CCSSM/Math Expressions Kindergarten Standards by Trimester Sept. 1, 2016 1st Tri. (MX Units 1 & 2) Sept. – Dec.. 2nd Tri. (MX Units 3 & 4) Dec. – Mar. 3rd Tri. (MX Units 4 & 5) Mar.- June Domain: K.OA: Operations & Algebraic Thinking Cluster A: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. K.OA.1 Represent addition and subtraction with objects, fingers, mental *Check for *Continue to check for images, drawings, sounds (e.g., claps), acting out situations, understanding using understanding. verbal explanations, expressions, or equations. formative assessments found in text. Skill is not graded this tri. K.OA.2 Solve addition and subtraction word problems, and add and *Check for *Continue to check for subtract within 10, e.g., by using objects or drawings to understanding using understanding. represent the problem. formative assessments found in text. Skill is not graded this tri. K.OA.3 Decompose numbers less than or equal to 10 into pairs in more *Check for Decompose numbers than one way, e.g., by using objects or drawings, and record each understanding using less than or equal to 10 decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = formative assessments into pairs in more than 4+1). found in text. Skill is not one way. (Ex. Partners & graded this tri. totals, break aparts, math mountains). K.OA.4 For any number from 1 to 9, find the number that makes 10 *Check for *Continue to check for when added to the given number, e.g., by using objects or understanding using understanding. Skill is drawings, and record the answer with a drawing or equation. formative assessments not graded this tri. found in text. Skill is not graded this tri. K.OA.5 Fluently add and subtract within 5. *Begin practicing fluency checks using MX “path to fluency” pages in SAB (not graded). Use “Path to Fluency” pages found in SAB. Represent addition and subtraction using objects, fingers, drawings, or equations. Solve addition and subtraction word problems within 10, using objects, drawings, and/or equations. Decompose numbers less than or equal to 10 into pairs in more than one way. (Ex. Partners & totals, break aparts, math mountains). For any number 1 to 9, students should be able to find the number that makes 10 when added to the given number. (Ex. unknown partner) Use “Path to Fluency” pages found in SAB. Domain: K.NBT: Number & Operations in Base Ten Cluster A: Work with numbers 11–19 to gain foundations for place value. K.NBT.1 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) *not graded Compose & decompose numbers 11-19 into tens & ones. Compose & decompose numbers 11-19 into tens & ones. Page 2 of 5 North Kitsap CCSSM/Math Expressions Kindergarten Standards by Trimester Sept. 1, 2016 1st Tri. (MX Units 1 & 2) Sept. – Dec.. 2nd Tri. (MX Units 3 & 4) Dec. – Mar. 3rd Tri. (MX Units 4 & 5) Mar.- June Domain: K.MD: Measurement & Data Cluster A: Describe and compare measurable attributes. K.MD.1 Describe measurable attributes of objects, such as length or & K.MD. weight. Describe several measurable attributes of a single object 2 & Directly compare two objects with common [measurable] attributes, to see which object has “more of”/“less of” the attribute, and describe *not graded *not graded Describe & compare measureable attributes of objects (Length, height, weight, capacity). (see TE pg. 559 & 563) *not graded Classify objects into given categories. Count number in each category and sort the categories by count (ex. Which has more?) (see TE pg. 326) *Continue to check for understanding. Skill is not graded this tri. the difference. For example, directly compare the heights of two children and describe one child as taller/shorter. Cluster B: Classify objects and count the number of objects in each category. K.MD.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. Domain: K.G: Geometry Cluster A: Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). K.G.1 Describe objects in the environment using names of shapes, and Use positional words to *Continue to check for describe an objects describe the relative positions of these objects using terms such understanding. Skill is as above, below, beside, in front of, behind, and next to. (TIE INTO position related to not graded this tri. another object (above, WA SCIENCE STANDARD K-1PS1A: Describing the position of an object) below, etc.) (see TE pg. 181, SAB p78) K.G.2 Correctly name shapes regardless of their orientations or overall Name & identify squares, *Continue to check for & K.G.3 size & Identify shapes as two-dimensional (lying in a plane, circles, triangles, understanding. Skill is “flat”) or three dimensional (“solid”). rectangles, and not graded this tri. hexagons. Explain that they are flat shapes (2d). Cluster: Analyze, compare, create, and compose shapes. K.G.4 Use informal language to describe similarities, differences, parts, Describe similarities, *Continue to check for and attributes of two- and three-dimensional shapes. Analyze differences, parts, and understanding. Skill is and compare two- and three-dimensional shapes, in different sizes attributes squares, not graded this tri. and orientations, using informal language to describe their circles, triangles & similarities, differences, parts (e.g., number of sides and rectangles. vertices/“corners”) and other attributes (e.g., having sides of equal length). *Continue to check for understanding. Skill is not graded this tri. Name & id cylinders, cones, cubes, and spheres. Explain that they are solid shapes (3-d). Describe similarities, differences, parts, and attributes of two- and three-dimensional shapes. Page 3 of 5 North Kitsap CCSSM/Math Expressions Kindergarten Standards by Trimester Sept. 1, 2016 K.G.5 & K.G.6 Model shapes in the world by building (e.g., sticks and clay balls) and drawing shapes. Join shapes to form larger shapes. (Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”) Draw recognizable circles, triangles, squares, and rectangles. Join shapes to form larger shapes. *Continue to check for understanding. Skill is not graded this tri. Standards for Mathematical Practices (SMP) in Kindergarten 1: Make sense of problems and persevere in solving them. 5: Use appropriate tools strategically. Younger students begin to consider In Kindergarten, students begin to build the understanding that doing mathematics involves solving problems and discussing how they solved them. Students explain to themselves the meaning of a problem and look for ways to solve it. Younger students may use concrete objects or pictures to help them conceptualize and solve problems. They may check their thinking by asking themselves, “Does this make sense?” or they may try another strategy. 2: Reason abstractly and quantitatively. Younger students begin to recognize that a number represents a specific quantity. Then, they connect the quantity to written symbols. Quantitative reasoning entails creating a representation of a problem while attending to the meanings of the quantities. the available tools (including estimation) when solving a mathematical problem and decide when certain tools might be helpful. For instance, kindergarteners may decide that it might be advantageous to use linking cubes to represent two quantities and then compare the two representations side-by-side. 3: Construct viable arguments and critique the reasoning of others. 7: Look for and make use of structure. Younger students begin to discern Younger students construct arguments using concrete referents, such as objects, pictures, drawings, and actions. They also begin to develop their mathematical communication skills as they participate in mathematical discussions involving questions like “How did you get that?” and “Why is that true?” They explain their thinking to others and respond to others’ thinking. 4: Model with mathematics. In early grades, students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, acting out, making a chart or list, creating equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed. a number pattern or structure. For instance, students recognize the pattern that exists in the teen numbers; every teen number is written with a 1 (representing one ten) and ends with the digit that is first stated. They also recognize that 3 + 2 = 5 and 2 + 3 = 5. 6: Attend to precision. As kindergarteners begin to develop their mathematical communication skills, they try to use clear and precise language in their discussions with others and in their own reasoning. 8: Look for and express regularity in repeated reasoning. In the early grades, students notice repetitive actions in counting and computation, etc. For example, they may notice that the next number in a counting sequence is one more. When counting by tens, the next number in the sequence is “ten more” (or one more group of ten). In addition, students continually check their work by asking themselves, “Does this make sense?” Notes: Grading is based on Year End Standards. To receive a 3, students should show mastery/understanding of the standards printed in bold. The chart shows adequate progress towards end of year standards. For example, for K.CC.1 (Counting to 100) at 1st trimester a student counting to 100 would receive a “3” on his/her report card, a student counting to at least 33 would Page 4 of 5 North Kitsap CCSSM/Math Expressions Kindergarten Standards by Trimester Sept. 1, 2016 be showing adequate progress towards end of year standard and would receive a “2”, a student that is not counting to at least 33 would receive a “1”. Page 5 of 5
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