Chinle USD CURRICULUM GUIDE. SUBJECT: Math GRADE: Kindergarten TIMELINE: Third Quarter

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1 Counting and Cardinality (CC) Know number names and the count sequence. Count to tell the number of objects. Compare numbers. Continue (a.) Review (b.) ( Qtr 1) K.CC.1. Count to 100 by ones and by tens.m K.CC.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1). M 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). M K.CC.4. Understand the relationship between numbers and quantities; connect counting to cardinality. I will count by ones to 10. I will count forward from any number. I will write numbers from 0 to 20. I will represent a number of objects with written numerals. Knowledge Comprehension Count Ones Tens number Count Number Sequence Forward begin Numerals Represents Write Number group Connect Order Object 1 9/18/2011

2 Review (c.) ( Qtr 2) Review ( Qtr 2) 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. M 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. 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 I will connect numbers of objects in order. I will understand the last number name said tells the number of objects counted. I will explain that the next number in order is larger. I will count out objects to represent a number. / Analysis Comprehension Knowledge/ Number/numeral Last Number Name Pairing Order amount Arrangement How many are left? How many in all? Order Successive Quantity larger Count Represent How many? Number 2 9/18/2011

3 configuration; given a number from 1 20, count out that many objects. array Review ( Qtr 2) 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 using matching and counting strategies. (Include groups with up to ten objects) I will compare the number of objects in two groups. (<,>, =) Comprehension/ Compare Greater than Less than Equal to groups Review ( Qtr 2) K.CC.7. Compare two numbers between 1 and 10 presented as written numerals. I will compare two written numerals. Comprehension/ Compare numerals Operations and Algebraic (OA) Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. K.0A.1. Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problems. This applies wherever drawings are I will represent addition. I will represent subtraction. Represent Addition Subtraction Plus Minuend Sums difference 3 9/18/2011

4 mentioned in the Standards.) M K.0A.2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. M K.0A.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 = and 5 = 4 + 1). M I will solve addition word problems. I will solve subtraction word problems. I will make equal equations. Solve Addition Subtraction Plus Minuend Sums Difference What is the difference? What is the sum? How much is left? How many altogether? Decompose Pairs Equal lesson than More than equation K.0A.4. For any number from 1 to 9, find the number that makes 10 when added to the given number, I will illustrate ways to make ten. Illustrate Equation 4 9/18/2011

5 e.g., by using objects or drawings, and record the answer with a drawing or equation. M Number and Operations in Base Ten (NBT) K.0A.5. Fluently add and subtract within 5. M I will add. I will subtraction. Analysis Solve Addition Subtraction Plus Minuend Sums Difference What is the difference? What is the sum? How much is left? How many altogether? Work with numbers 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 I will represent numbers 11 to 19 as a set of 10s and 1s. Tens Ones Represent 5 9/18/2011

6 composition or decomposition by a drawing or equation (e.g., 18 = ); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. M Measurement and Data (MD) Describe and compare measurable attributes. Classify objects and count the number of objects in categories. Review( Qtr 1) Review ( Qtr 1) K.MD.1. Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. K.MD.2. 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. For example, directly compare the heights of two children and describe one child as taller/shorter. Review ( Qtr 2) K.MD.3. Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. (Limit 6 9/18/2011 I will describe measureable attributes of objects. I will compare a measurable attribute in two objects. I will classify objects. I will sort by count. Knowledge Knowledge Analysis Comprehension Measureable Attributes Describe Length weight Measureable Attributes More of Less of Taller/shorter Smaller/longer Classify Sorting

7 category counts to be less than or equal to 10). Categories count Geometry (G) Identify and describe shapes. Analyze, compare, create, and compose shapes. Review ( Qtr 1) K.G.1. 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. I will describe objects as shapes in the environment. I will describe the position of objects. Knowledge Comprehension Shapes Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres cones Figures Positions above, below, beside, in front of, behind, and 7 9/18/2011

8 next to Review ( Qtr 1) K.G.2. Correctly name shapes regardless of their orientations or overall size. I will name shapes. Knowledge Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres cones Review ( Qtr 2) K.G.3. Identify shapes as twodimensional (lying in a plane, flat ) or three-dimensional ( solid ). I will identify shapes as 2d or 3d. Knowledge Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres Cones 8 9/18/2011

9 2 dimensional 3 dimensional Review ( Qtr 2) K.G.4. Analyze and compare twoand 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). I will compare 2d and 3d shapes. Comprehension Analysis Evaluation Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres cones Review ( Qtr 2) K.G.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. I will model shapes. Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres Cones 9 9/18/2011

10 Review ( Qtr 2) Mathematical Practices (MP) 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? I will join shapes to make larger shapes. synthesis Components Model Build draw Rectangele Triangle Square Circle Rhombus Oval Hexagon Cubes Cylinders Spheres cones join compose larger simple 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. 10 9/18/2011

11 8. Look for and express regularity in repeated reasoning. Continue Continue Continue K.MP.1. Make sense of problems and persevere in solving them.. C K.MP.2. Reason abstractly and quantitatively.. C K.MP.3. Construct viable arguments and critique the reasoning of others.. C I will work to solve problems. I will think abstractly. I will think quantitatively. I will support my thinking. I will give feedback to others on their thinking. synthesis analysis Evaluation Persevere Sense Solve Problems work Reason Abstract Quantitative Construct Viable Arguments Critique Reasoning Support Continue K.MP.4. Model with mathematics.. C I will model math. Model Mathematics Continue K.MP.5. Use appropriate tools strategically.. C I will plan when I use tools. synthesis Appropriate Strategically Tools Plan 11 9/18/2011

12 Continue K.MP.6. Attend to precision.. C I will do it correctly. use Attend Precision Correctly Continue Continue K.MP.7. Look for and make use of structure.. C 9/30/11 Chinle Unified School District No. 24 pages 1-12 K.MP.8. Look for and express regularity in repeated reasoning.. C I will look for structure. I will use structure. I will look for patterns in reasoning. I will express patterns in reasoning. Analysis Structure Regularity Express Reasoning Repeated Patterns 12 9/18/2011

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