The School District of Palm Beach County Kindergarten Mathematics Scope st Trimester

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1 1 st Trimester Counting and Cardinality (CC) Know number names and the count sequence. CC.1.3 CC.2.4 CC.2.5 Read and write numerals 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. a. Understand the relationship between numbers and quantities; connect counting to cardinality. 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 the relationship between numbers and quantities; connect counting to cardinality. 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 the relationship between numbers and quantities; connect counting to cardinality. Understand that each successive number name refers to a quantity that is one larger. 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 to 20 count out that many objects. 1: Numbers to days: August 26 September 27 Model, count, read, and write 1. Model, count, read, and write 2. Model, count, read, and write 3. Model, count, read, and write 4. Model, count, read, and write 5. Model, count, read, and write 0. Model, count, read, and write 6. Model, count, read, and write 7. Model, count, read, and write 8. Model, count, read, and write 9. Model, count, read, and write 10. Understand the value of 0 as no representation of objects. Know that each successive number refers to a quantity that is one larger. Know the last number named represents the number of objects counted. Use one-to-one correspondence when counting. Use objects and/or drawings to decompose numbers to 10 into pairs in more than one way. make a model. draw a picture. Use a strategy (model/draw) to make 10 from a given number. Model, Count, Read, and Write 1 and 2 Model, Count, Read, and Write 3 and 4 Model, Count, Read, and Write 5 Understanding 0 Model, Count, Read, and Write 0 to 5 Model, Count, Read, and Write 6 Model, Count, Read, and Write 7 Model, Count, Read, and Write 8 Model, Count, Read, and Write 9 Model, Count, Read, and Write 10 Model, Count, Read, and Write 10 Ways to Make 10 Ways to Make 10 Numbers to 10 Numbers to 10 Making Sense of Numbers count one two match three four five pairs and larger zero fewer more six seven eight nine ten compose decompose draw

2 1 st Trimester Know number names and the count sequence. Use matching and counting strategies to compare sets with the same number of objects. Equal Greater Than and Less Than Greater Than and Less Than equal same number Counting and Cardinality (CC) CC.1.2 CC.3.6 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Compare numbers. 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. 2: Compare Numbers to days: September 28 October 20 Use matching and counting strategies to compare sets when the number of objects in one set is greater than the number of objects in the other set. Use matching and counting strategies to compare sets when the number of objects in one set is less than the number of objects in the other set. Make a model to solve problems using a matching strategy. Use a counting strategy to compare sets of objects. Compare numbers to 10. Count forward to 10 from a given number. make a model. Compare to 5 by Matching Compare to 5 by Counting Compare to 10 by Matching Compare to 10 by Counting Count and Order to 10 Compare Numbers to 10 Compare Numbers to 10 compare greater less more fewer CC.3.7 Compare two numbers between 0 and 10 presented as written numerals. Use counting strategies to compare sets of objects. Sort, count, and compare by category to 10. End of Trimester: November 7, 2016

3 2 nd Trimester Suggeste d Geometry (G) Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). G.1.2 G.2.4 G.2.5 Correctly name shapes regardless of their orientations or overall size. Analyze, compare, create, and compose shapes. Analyze and compare two- and threedimensional 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). Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. 3: Two-Dimensional Shapes 19 days: October 24 November 21 Identify, name, and describe twodimensional circles. Identify, name, and describe twodimensional squares. Identify, name, and describe twodimensional triangles. Identify, name, and describe twodimensional rectangles. Identify, name, and describe twodimensional hexagons. Compare two-dimensional shapes using attributes. Use the words alike and different to compare two-dimensional shapes by attributes. draw a picture. Compose shapes using two or more two-dimensional shapes. Circles Square Triangles Identify and Name Rectangles Describe Rectangles Identify and Name Hexagons Describe Hexagons Compare Two-Dimensional Shapes Compare Two-Dimensional Shapes Draw to Join Shapes Draw to Joins Shapes Composing Shapes twodimensional shapes curve circle corners sides square vertex vertices sides of equal length triangle rectangle hexagon alike different attributes compose decompose separate G.2.6 Compose simple shapes to form larger shapes. For example, Can you join these two triangles with full sides touching to make a rectangle? join model build draw

4 2 nd Trimester Geometry (G) Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). G.1.1 G.1.2 G.1.3 G.2.4 G.2.5 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. Correctly name shapes regardless of their orientations or overall size. Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ). Analyze, compare, create, and compose shapes. Analyze and compare two- and threedimensional 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). Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. 4: Three-Dimensional Shapes 19 days: November 22 December 21 Analyze and compare threedimensional shapes by attributes. Identify, name, and describe threedimensional spheres. Identify, name, and describe threedimensional cubes. Identify, name, and describe threedimensional cylinders. Identify, name, and describe threedimensional cones. Compose 3-D shapes using components. use logical reasoning. Use the terms above and below to describe shapes in the environment. Use the terms beside and next to to describe shapes in the environment. Use the terms in front of and behind to describe shapes in the environment. Three-Dimensional Shapes Spheres Cubes Cylinders Cones Two- and Three-Dimensional Shapes Two- and Three-Dimensional Shapes Model 3-D Shapes Using Components Model 3-D Shapes Using Components Above and Below Beside and Next to In Front of and Behind flat surface curved surface roll stack slide sphere threedimensional shapes cube cylinder cone flat solid above below beside next to in front of behind

5 2 nd Trimester Operations and Algebraic Thinking (OA) Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. OA.1.1 OA.1.2 OA.1.4 OA.1.5 OA.1.a Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. (Students are not required to independently read the word problems.) 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. Fluently add and subtract within 5. Use addition and subtraction within 10 to solve word problems involving both addends unknown, e.g, by using objects, drawings, and equations with symbols for the unknown numbers to represent the problems. (Students are not required to independently read the word problems.) Use expressions to represent addition. Solve problems by using the strategy act it out. Use models and drawings to solve addition word problems. Use a drawing to find 10 from a given number and record the equation. Solve addition word problems and record the equation. Decompose numbers within 5 into pairs in more than one way and record each decomposition with an equation. Decompose 6 and 7 into pairs in more than one way and record each decomposition with an equation. Decompose 8 into pairs in more than one way and record each decomposition with an equation. Decompose 9 into pairs in more than one way and record each decomposition with an equation. Decompose 10 into pairs in more than one way and record each decomposition with an equation. Determine two unknown addends to complete an addition equation. Use a graphic organizer to help find both addends unknown. Solve addition word problem with two addends unknown. End of Trimester: February 17, : Addition 24 days: December 22 February 9 Act Out Addition Problems Addition: Add to Addition: Put together Number Pairs to 5 Number Pairs to 6 and 7 Number Pairs to 8 Number Pairs to 9 Number Pairs to 10 Model and Draw Addition Problems Model and Draw Addition Problems Write Addition Equations (day 1) Write Addition Equations (day 2) Both Addends Unknown BAU Both Addends Unknown BAU Graphic Organizers for BAU Graphic Organizers for BAU Additions Word Problems for BAU Addition Word Problems for BAU add adding to plus put together is equal to expression equation number sentence total in all addends compose decompose number bonds number pairs

6 3 rd Trimester Operations and Algebraic Thinking (OA) Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. OA.1.1 OA.1.2 OA.1.5 OA.1.a Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. (Students are not required to independently read the word problems.) Fluently add and subtract within 5. Use addition and subtraction within 10 to solve word problems involving both addends unknown, e.g, by using objects, drawings, and equations with symbols for the unknown numbers to represent the problems. (Students are not required to independently read the word problems.) 6: Subtraction 16 days: February 10 March 6 Use expressions to represent subtraction. Solve problems by using the strategy act it out. Use objects and drawings to solve subtraction word problems. Solve subtraction word problems and record the equation. Solve subtraction word problems and record the equation. Understand addition as putting together or adding to and subtraction as taking apart or taking from to solve word problems. Use graphic organizers to help solve BAU word problems. Solve word problems with both addends unknown. Act Out Subtraction Problems Subtraction : Take From Subtraction: Take Apart Model and Draw Subtraction Problems Write Subtraction Equations Write Subtraction Equations Addition and Subtraction Graphic Organizers for BAU Graphic Organizers for BAU Subtraction Word Problems for BAU Subtraction Word Problems for BAU subtract minus take away take from separate difference

7 3 rd Trimester Counting and Cardinality (CC) Number and Operations in Base Ten (NBT) CC.1.3 NBT.1.1 Know number names and the count sequence. Read and write numerals Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). Work with numbers to gain foundations for place value. 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 equations (e.g., 18 = ); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. 7: Numbers 11 to days: March 7 March 30 Model, count, read, and write the numbers 11 to 15. Decompose the numbers 11 to 15 into ten ones and some further ones. Model, count, read, and write the numbers 16 to 19. Decompose the numbers 16 to 19 into ten ones and some further ones. draw a picture. Compose teen numbers 11 to 19 using ten ones and some more ones. Model and Count Read and Write Compose and Decompose numbers Model and Count Read and Write Compose and Decompose Compose ten ones and some more ones Compose ten ones and some more ones eleven twelve ones thirteen fourteen fifteen sixteen seventeen eighteen nineteen ten ones some more ones

8 3 rd Trimester Counting and Cardinality (CC) CC.1.1 CC.1.2 CC.1.3 CC.2.5 CC.3.6 Know number names and the count sequence. Count to 100 by ones and tens. Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Read and write numerals 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. 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 to 20 count out that many objects. Compare numbers. 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. 8: Numbers 20 and Beyond 10 days: March 31 April 13 Model, count, read, and write 20. Count forward from a given number. Order and compare numbers to 20. make a model. Know the count sequence when counting to 50 by ones. Know the count sequence when counting to 100 by ones. Know the count sequence when counting to 100 by tens. Use sets of tens to count to 100. Find patterns on the 100 Chart. Model, Count, Read, and Write 20 Order and Compare Numbers to 20 Count to 50 Count to 100 by Ones Count to 100 by Tens Look for Patterns on a Hundred Chart twenty fifty one hundred tens count by numerals to 100

9 3 rd Trimester Measurement and Data (MD) MD.1.1 MD.1.2 MD.1.a Describe and compare measurable attributes. Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. 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. Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps. 9: Measurement 11 days: April 17 May 1 Directly compare the lengths of two objects. Directly compare the heights of two objects. draw a picture. Directly compare the weights of two objects. Describe several measurable attributes of a single object. Express the length of an object using a shorter object. (non-standard units of measure) Understand that the length measurement of an object is the number of same-sized length units that span in with no gaps or overlaps. Compare Lengths and Compare Heights Direct Comparison Compare Weights Length, Height, and Weight Understand Length of an Object (Rules for Measurement) Express Length of an Object using Non-standard s of Measurement (day 1) Express Length of an Object using Non-standard s of Measurement (day 2) length height weight longer same length shorter same height taller heavier lighter same weight gaps overlaps nonstandard unit

10 3 rd Trimester Measurement and Data (MD) Classify objects and count the number of objects in each category. MD.2.3 Classify objects into given categories; count the number of objects in each category and sort the categories by count. 10: Classify and Sort Data 12 days: May 2 May 17 Classify and count objects by color. Classify and count objects by shape. Classify and count objects by size. Create/Display a graph to count objects that have been classified into categories. Read a graph to count objects that have been classified into categories. use logical reasoning. Classify and Count by Color Classify and Count by Shape Classify and Count by Size Classify and Count by Category Sort and Classify by Count Read, Display, and Organize Classification Read, Display, and Organize Classification Read, Display, and Organize Classification (day 3) blue category classify color green red yellow shape big size small graph sort Finalizing Mastery of Kindergarten MAFS: May 18 June 2, 2017 Last Day of School: June 2, 2017

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