Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Standards for Mathematical Practice The Mathematical Practice standards describe expertise that teachers should seek to develop in students. The processes identified within in these standards will be a part of everyday classroom instruction. MP 1. Make sense of problems and persevere in solving them. MP 2. Reason abstractly and quantitatively. MP 3. Construct viable arguments and critique the reasoning of others. MP 4. Model with mathematics. MP 5. Use appropriate tools strategically. MP 6. Attend to precision. MP 7. Look for and make use of structure. MP 8. Look for and express regularity in repeated reasoning. Fluency Standard K.OA.A.5 Add/Subtract within 5 Page 1 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION First Quarter Description: Students will begin by learning to count by ones to 25 and describing objects in the environment using names of shapes. They will then learn the following topics: Sorting and Classifying Objects Geometry Counting from Zero to Five Domain Counting and Cardinality (CC.A) Geometry (G) Measurement and Data (MD) Tennessee State Standards Building Skills K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). K.G.A.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. Topic 1: Sorting and Classifying K.MD.B.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. Geometry (G) Topic 7: Geometry K.G.A.2 Correctly name shapes regardless of their orientations or overall size. K.G.A.3 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”) K.G.B.4 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.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. K.G.B.6 Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?” Counting and Cardinality (CC) Topic 4: Zero To Five K.CC.B.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. Page 2 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Counting and Cardinality (CC) Topic 4: Zero To Five K.CC.B.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. K.CC.A.3 Write numbers from 0 – 20. Represent a number of objects with a written numeral 0 – 20 (with 0 representing a count of no objects). K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. Operations and Algebraic Thinking (OA) K.OA.A.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). Corresponding Baseline Literacy Module http://www.jmcss.org/pages/JMCSS/Departments/Curriculum/Resources/BLM/K/Math/Module1 Additional Resources Wiki Math Tasks for K http://commoncoretasks.ncdpi.wikispaces.net/K+Tasks One Page Summary of CCSS http://maccss.ncdpi.wikispaces.net/Kindergarten Internet Resources Divided by Standard https://gradekcommoncoremath.wikispaces.hcpss.org/Resources+Organized+by+Domain Teaching Resources http://www.k-5mathteachingresources.com/kindergarten-math-activities.html Formative Assessments https://gradekcommoncoremath.wikispaces.hcpss.org/Kindergarten+Sequence+Overview Math Vocabulary List and Picture Cards https://gradekcommoncoremath.wikispaces.hcpss.org/Math+Vocabulary+Picture+Cards Lessons For Learning http://maccss.ncdpi.wikispaces.net/Kindergarten Calendar Time Math Their Way Summary Newsletter Chapter 4 “The Opening” www.center.edu/NEWSLETTER/newsletter.shtml (you can locate a PDF of Calendar Activities Using Math Their Way – Includes questions to ask, songs, literature links, calendar journal ideas from this site) Page 3 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Second Quarter Description: In this nine weeks, students will continue building counting skills as they count to 50 by ones. Students will focus on the topics of: Numbers 6-10 3-D Shapes Domain Tennessee State Standards Building Skills K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Counting and Cardinality (CC) Operations & Algebraic Thinking (OA) Geometry (G) Topic 5: Numbers 6 – 10 K.CC.B.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. K.CC.B.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. K.CC.B.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 give a number from 1 – 20 count out that many objects. K.CC.A.3 Write numbers from 0 – 20. Represent a number of objects with a written numeral 0 – 20 (with 0 representing a count of no objects). K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. K.CC.C.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. K.CC.C.7 Compare two numbers between 1 and 10 presented as written numerals. K.OA.A.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). Topic: 3-D Shapes K.G.A.3 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”) Page 4 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Geometry (G) Topic: 3-D Shapes K.G.B.4 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.G.B.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. Corresponding Baseline Literacy Module http://www.jmcss.org/pages/JMCSS/Departments/Curriculum/Resources/BLM/K/Math/Module2 Additional Resources Kindergarten Kove http://www.scsk12.org/SCS/subject-areas/Kindergarten-Kove/Math_Activities.html TN Department of Education http://www.tncore.org/math.aspx Wiki Math Tasks for K http://commoncoretasks.ncdpi.wikispaces.net/K+Tasks One Page Summary of CCSS http://maccss.ncdpi.wikispaces.net/Kindergarten Internet Resources Divided by Standard https://gradekcommoncoremath.wikispaces.hcpss.org/Resources+Organized+by+Domain Teaching Resources http://www.k-5mathteachingresources.com/kindergarten-math-activities.html Formative Assessments https://gradekcommoncoremath.wikispaces.hcpss.org/Kindergarten+Sequence+Overview Math Vocabulary List and Picture Cards https://gradekcommoncoremath.wikispaces.hcpss.org/Math+Vocabulary+Picture+Cards Lessons For Learning http://maccss.ncdpi.wikispaces.net/Kindergarten Literature Suggestions: Numbers 6 – 10 Counting Friends by: Diane Stortz Six Cheers for Ladybug by: Maria Fleming Hold The Bus! by: Arlene Alda The Seven Chinese Brothers by: Margaret Mahy 6 Sticks by: Molly Coxe Eight Leg Are Great! by: Liza Charlesworth My First Book of Numbers by: Diane Namm Gillian’s Nines by: Sharon L. Young Six Legs by: Sharon L. Young Nine Bright Pennies by: Teddy Slater 7 Counting Crocodiles by: Judy Sierra The Lemon Tree by: Sharon L. Young Page 5 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Ten Fingers Can! by: Liza Charlesworth Ten in the Meadow by: John Butler Ten Silly Dogs by: Lisa Flather 1 to 10 by: Ronne Peltzman Randall Click, Clack, Splish, Splash by: Doreen Cronin Ten in the Bed by: Jane Cabrera The Right Number of Elephants by: Jeff Sheppard The Circus Is In Town by: David L. Harrison 3-D Shapes Captain Invincible and the Space Shapes by: Stuart J. Murphy Cubes, Cones, Cylinders, & Spheres by: Tana Hoban Counting by 10’s Skip Count by 10, Let’s Do It Again! by: Tracy Kompelein The Skip Count Song by: Rozanne Lanczak Williams Leaping Lizards by: Stuart J. Murphy Comparing Numbers Compare with Bears by: Kate Mineo Just Enough Carrots by: Stuart J. Murphy Comparing Numbers! by: M. Penn More Than One by: Miriam Schlein Money -Nickel Nickels (Scholastic) by: Mary Hill Pigs Will Be Pigs by: Amy Axelrod More / Less / Same Cat and Dog Go Shopping by: Rosa Drew More or Less a Mess by: Sheila Keenan More or Less by: Stuart J. Murphy Page 6 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Third Quarter Description: In the third nine weeks, students will continue building skills by counting by ones to 75. They will write numerals to match a quantity of 0-20 and learn the topics of: Measurement Larger Numbers Graphs Domain Counting and Cardinality (CC) Measurement and Data (MD) Counting and Cardinality (CC) Tennessee State Standards Building Skills K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Topic 9 – Measurement K.MD.1 Describe measureable attributes of objects, such as length or weight. Describe several measureable attributes of a single object. K.MD.2 Directly compare two objects with a measureable 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. Topic 12 - Larger Numbers K.CC.B.4.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. K.CC.B.4.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. K.CC.B.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 give a number from 1 – 20 count out that many objects. K.CC.A.3 Write numbers from 0 – 20. Represent a number of objects with a written numeral 0 – 20 (with 0 representing a count of no objects). K.CC.B.4c Understand that each successive number name refers to a quantity that is one larger. Page 7 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Numbers and Operations in Base Ten (NBT) Measurement and Data (MD) K.NBT.A.1 Compose and decompose numbers from 11 to 19 into tens 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. Topic 16 – Graph K.MD. 3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. Corresponding Baseline Literacy Module http://www.jmcss.org/pages/JMCSS/Departments/Curriculum/Resources/BLM/K/Math/Module3 Additional Resources Kindergarten Kove http://www.scsk12.org/SCS/subject-areas/Kindergarten-Kove/Math_Activities.html TN Department of Education http://www.tncore.org/math.aspx Wiki Math Tasks for K http://commoncoretasks.ncdpi.wikispaces.net/K+Tasks One Page Summary of CCSS http://maccss.ncdpi.wikispaces.net/Kindergarten Internet Resources Divided by Standard https://gradekcommoncoremath.wikispaces.hcpss.org/Resources+Organized+by+Domain Teaching Resources http://www.k-5mathteachingresources.com/kindergarten-math-activities.html Formative Assessments https://gradekcommoncoremath.wikispaces.hcpss.org/Kindergarten+Sequence+Overview Math Vocabulary List and Picture Cards https://gradekcommoncoremath.wikispaces.hcpss.org/Math+Vocabulary+Picture+Cards Lessons For Learning http://maccss.ncdpi.wikispaces.net/Kindergarten Literature Suggestions: Numbers 11 – 20 12 Ways to Get to 11 by: Eve Merriam Chicka Chicka 1-2-3 by: Bill Martin, Jr. 16 Runaway Pumpkins by Dianne Ochiltree Page 8 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Jack the Builder by: Stuart J. Murphy Blue Barry Bear Counts from 1 to 20 by: Marilyn Sadler One Moose, Twenty Mice by: Clare Beaton A Dozen Dogs by Harriet Ziefert A Dozen Dozens by: Harriet Ziefert How Do You Count a Dozen Ducklings? by: In Sean Chae A Dozen Eggs by: Sharon L. Young Norman Rockwell’s Counting Book by: Glorina Taborin Graphs Graphs (All Aboard Math Reader) by: Bonnie Bader Our Favorites by: Michelle Wagner Nechaev We can Make Graphs by: Rozanne Lanczak The Great Graph Contest by: Loreen Leedy Williams 6 Just Graph It! by: Sandi Hill Measurement Measurement Mysteries by: Marcia S. Gresko Me And The Measure Of Things by: Joan Sweeney Who Sank The Boat? by: P. Allen Mr. TALL and Mr. SMALL by: Barbara Brenner How Big Is A Foot? by: Rolf Myller Just A Little Bit by: Ann Tompert How Long or How Wide? By: Brian P. Cleary Balancing Act by: Ellen Stoll Walsh A House for Birdie by: Stuart J. Murphy Mighty Maddie by: Stuart J. Murphy Hershey’s Weights and Measures by: Jerry Pallotta Heavy is a Hippopotamus by: Miriam Schlein The LONG and SHORT Of It by: Cheryl Nathan & Lisa McCourt Counting by 5’s Telling Time Leaping Lizards by: Stuart J. Murphy It’s About Time! by: Stuart J. Murphy Count by Fives by: Jerry Pallotta The Time Song by: Rozanne Lanczak Williams Count by Fives by: Bruce Larkin What Time Is It? by: Rozanne Lanczak Williams Henry’s Important Date by: Robert Quackenbush Place Value Earth Day – Hooray! By: Stuart J. Murphy Money – Dime Dimes (Scholastic) by: Mary Hill The Purse by: Kathy Caple Page 9 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Fourth Quarter Description: Students will continue building skills and learn to count by ones to 100. They will focus on addition and subtraction and be able to fluently add and subtract within 5. Domain Tennessee State Standards Counting and Cardinality (CC) Building Skills: K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Operations and Algebraic Thinking (OA) Topic 10 and 11: Addition and Subtraction K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. K.OA.A.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.A.4 For any number from1 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.A.5 Fluently add and subtract within 5 Corresponding Baseline Literacy Module http://www.jmcss.org/pages/JMCSS/Departments/Curriculum/Resources/BLM/K/Math/Module4 Additional Resources Literature Suggestions: Addition Little Number Stories Addition by: Rozanne Lanczak Williams The Happy Hippos by: Liza Charlesworth Adding It Up by: Rosemary Wells Domino Addition by: Lynette Long On Board by: Stuart J. Murphy If you were a Plus Sign by: Trisha Speed Shaskan Help Me Learn Addition by: Jean Marzollo It’s Addition! by: M. W. Penn Mission: Addition by: Loreen Leedy Animals Adding with Apes by: Adele James Page 10 Kindergarten Math Pacing & Assessment Guide JMCSS DEPARTMENT OF CURRICULUM & INSTRUCTION Subtraction Elevator Magic by: Stuart J. Murphy If you were a Minus Sign by: Trisha Speed Shaskan Monsters Musical Chairs by: Stuart J. Murphy Subtracting with Seals by: Charles Sellers It’s Subtraction! by: M. W. Penn Counting by 2’s Penguin Pairs: Counting by 2s by: Amanda Doering Tourville MooooVe Over! A Book about Counting by Twos by: Karen Magnuson Beil The Ants Go Marching Two by Two by: Maria Fleming Money – Quarter No Tooth, No Quarter! by: Jon Buller Quarters (Scholastic) by: Mary Hill Martin and the Tooth Fairy by: Bernice Chardiet A Dollar for Penny by: Dr. Julie Glass Page 11
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