Go Math! Kindergarten Curriculum Map Chapter 1 Counting & Cardinality Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Know number names and the count sequence. CC.K.CC.3- Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 Count to tell the number of objects. CC.K.CC.4- Understand the relationship between numbers and quantities; connect counting to cardinality. 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. Mathematical Practices: 3. Construct viable arguments and critique the reasoning of others. Chapter 1 Daily Pacing Chart Instruction Assessment Introduction 1 day Date 8/26 To 9/19 5. Use appropriate tools strategically. 10 days Lesson Lesson Objective BOY Introduction 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 Assessment Assessment Beginning of the year assessment (optional) 2 days Model and count 1 and 2 with objects Represent 1 and 2 objects with number names and written numerals. Model and count 3 and 4 with objects Represent 3 and 4 objects with number names and written numerals. Model and count 5 Represent 5 objects with number names and written numerals. Use objects or drawings to decompose 5 into pairs in more than one way Know that each successive number refers to a quantity that is one larger. Solve problems by using the strategy make a model. Represent 0 objects with a number name and a written numeral Chapter 1 Review Chapter 1 Test use Form B in Assessment Guide Academic Services Department 2014-2015 Total 13 days Academic Vocabulary one, two, match one, two, three, four, match three, four five five 1 Go Math! Kindergarten Curriculum Map Chapter 2 Compare Numbers to 5 Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Compare numbers. CC.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.1 Mathematical Practices: 6. Attend to precision. 7. Look for and make use of structure. Chapter 2 Daily Pacing Chart Instruction Assessment Introduction 1 day Date 9/22 To 10/3 Lesson 5 days 2 days Total 8 days Lesson Objective Academic Vocabulary Same number, compare, match 2.4 Use matching and counting strategies to compare sets with the same number of objects 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. 2.5 Use a counting strategy to compare sets of objects Assessment Assessment Chapter 2 Review Chapter 2 Test use Form B in Assessment Guide Due in OARS Introduction 2.1 2.2 2.3 Academic Services Department 2014-2015 Greater, compare, more less, fewer, compare match, same number, greater, less, more, fewer, compare compare, one, two, three, four, five 2 Go Math! Kindergarten Curriculum Map Chapter 3 Represent, Count, and Write Numbers 6 to 9 Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Know number names and the count sequence. CC.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). Count to tell the number of objects. CC.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 configuration; given a number from 1–20, count out that many objects. Compare numbers. CC.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.2 Mathematical Practices: 5. Use appropriate tools strategically. 8. Look for and express regularity in repeated reasoning. 2 Chapter 3 Daily Pacing Chart Instruction Assessment Introduction 1 day Date 10/6 To 10/21 Lesson Introduction 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 Assessment 9 days 2 days Total 12 days Lesson Objective Academic Vocabulary Model and count 6 with objects. Represent 6 objects with a number name and a written numeral. Model and count 7 with objects. Represent 7 objects with a number name and a written numeral. Model and count 8 with objects. Represent 8 objects with a number name and a written numeral. Model and count 9 with objects. Represent 9 objects with a number name and a written numeral. Solve problems by using the strategy draw a picture Chapter 3 Review six, match six seven,, match seven eight, match eight nine , match nine Academic Services Department 2014-2015 3 Go Math! Kindergarten Curriculum Map Assessment Chapter 3 Test use Form B in Assessment Guide Chapter 4 Represent and Compare Numbers to 10 Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Know number names and the count sequence. CC.K.CC.2- Count forward beginning from a given number within the known sequence (instead of having to begin at 1). CC.K.CC.3- Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 Count to tell the number of objects. CC.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 configuration; given a number from 1–20, count out that many objects. Compare numbers. CC.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.3 CC.K.CC.7- Compare two numbers between 1 and 10 presented as written numerals. Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. CC.K.OA.4- 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. Mathematical Practices: 6. Attend to precision. 7. Look for and make use of structure. Chapter 4 Daily Pacing Chart Instruction Assessment Introduction 1 day 7 days Total 2 days 10 days Date Lesson Lesson Objective Academic Vocabulary 10/22 To 11/7 Introduction 4.1 4.2 4.3 Model and count 9 with objects. Represent 9 objects with a number name and a written numeral. Use a drawing to make 10 from a given number ten, match ten pairs, one, two, three, four, five, six, seven, eight, nine, ten Academic Services Department 2014-2015 4 Go Math! Kindergarten Curriculum Map 4.4 4.5 Count forward to 10 from a given number Solve problems by using the strategy make a model 4.6 Use counting strategies to compare sets of objects 4.7 Compare two numbers between 1 and 10. Assessment Assessment Chapter 4 Review Chapter 4 Test use Form B in Assessment Guide one, two, three, four, five, six, seven, eight, compare, greater, less, match, one, two, three, four, five, six, seven, eight, nine, ten compare, greater, less, match, one, two, three, four, five, six, seven, eight, nine, ten greater, less, match, one, two, three, four, five, six, seven, eight, nine, ten Chapter 5 Addition Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Operations and Algebraic Thinking Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. CC.K.OA.1- Represent addition and subtraction with objects, fingers, mental images, drawings (see footnote #4), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. CC.K.OA.2- Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. CC.K.OA.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). CC.K.OA.4- 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. CC.K.OA.5- Fluently add and subtract within 5. Mathematical Practices: 2. Reason abstractly and quantitatively. Introduction 1 day 4 4. Model with mathematics. Chapter 5 Daily Pacing Chart Instruction Assessment 12 days 2 days Total 15 days Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards) Academic Services Department 2014-2015 5 Kindergarten Curriculum Map Date 11/12 To 12/5 Lesson Introduction 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11 5.12 Assessment Assessment Go Math! Lesson Objective Academic Vocabulary Use expressions to represent addition within 5. Use expressions to represent addition within 5. Solve problems by using the strategy act it out. Use objects and drawings to solve addition word problems within 5. Use a drawing to find 10 from a given number and record the equation. Solve addition word problems within 5 and record the equation. Solve addition word problems within 10 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. Review Chapter 5 Chapter 5 Test use Form B in Assessment Guide Due in OARS add plus is equal to, plus plus, is equal to plus, is equal to plus, is equal to, one, two, three, four, five, pair plus, is equal to, one, two, three, four, five, pair, six, seven plus, is equal to, one, two, three, four, five, pair, six, seven, eight plus, is equal to, one, two, three, four, five, pair, six, seven, eight, nine plus, is equal to, one, two, three, four, five, pair, six, seven, eight, nine, ten Chapter 6 Subtraction Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Operations and Algebraic Thinking Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. CC.K.OA.1- Represent addition and subtraction with objects, fingers, mental images, drawings5, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. Academic Services Department 2014-2015 6 Go Math! Kindergarten Curriculum Map CC.K.OA.2- Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. CC.K.OA.5- Fluently add and subtract within 5. Mathematical Practices: 1. Make sense of problems and persevere in solving them. Chapter 6 Daily Pacing Chart Instruction Assessment Introduction 1 day Date 12/8 To 12/19 7 days Lesson Introduction 6.1 6.2 6.3 6.4 6.5 6.6 6.7 Assessment Assessment 2. Reason abstractly and quantitatively. 2 days Total 10 days Lesson Objective Academic Vocabulary Use expressions to represent subtraction within 5. Use expressions to represent subtraction Solve problems by using the strategy act it out Use objects and drawings to solve subtraction word problems within 5. Solve subtraction word problems within 5 and record the equation. Solve subtraction word problems within 10 and record the equation. Understand addition as putting together or adding to and subtraction as taking apart or taking from to solve word problems. Chapter 6 Review Chapter 6 Test use Form B in Assessment Guide subtract minus is equal to, minus is equal to, minus is equal to, minus is equal to, minus plus, is equal to, minus Academic Services Department 2014-2015 7 Go Math! Kindergarten Curriculum Map Chapter 7 Represent, Count, and Write 11-19 Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Know number names and the count sequence. CC.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). Work with numbers 11-19 to gain foundations for place value. CC.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); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Mathematical Practices: 4. Model with mathematics. 8. Look for and express regularity in repeated reasoning. Chapter 7 Daily Pacing Chart Instruction Assessment Introduction 1 day 10 days 2 days Date Lesson Lesson Objective 1/5 To 1/23 Assessment Introduction 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 7.10 Assessment Assessment Middle of Year Assessment (Required) Due in OARS Model and count 11 and 12 Count and write 11-12. Model and count 13-14 Count and write 13-14 Model and count and write 15 Use numbers to 15 Model and count 16 and 17 Count and write 16 and 17 Model and count 18 and 19 Model and count 18 and 19 Chapter 7 Review Chapter 7 Test use Form B in Assessment Guide Academic Services Department 2014-2015 Total 14 days Academic Vocabulary eleven, twelve, ones eleven, twelve thirteen, fourteen, ones thirteen, fourteen fifteen, ones fifteen sixteen, seventeen, ones sixteen, seventeen eighteen, nineteen, ones eighteen, nineteen 8 Go Math! Kindergarten Curriculum Map Chapter 8 Represent, Count, and Write 20 and Beyond Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Counting & Cardinality Know number names and the count sequence. CC.K.CC.1-Count to 100 by ones and by ten. CC.K.CC.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1) CC.K.CC.3- Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (0 representing a count of no objects). Count to tell the number of objects. CC.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 in a scattered configuration; given a number from 1–20, count out that many objects. things Compare Objects CC.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 Mathematical Practices: 4. Model with mathematics. 5. Use appropriate tools strategically. Chapter 8 Daily Pacing Chart Instruction Assessment Introduction 1 day 8 days 2 days Total 11 days Date Lesson Lesson Objective Academic Vocabulary 1/26 To 2/10 Introduction 8.1 8.2 8.3 Model and count 20 Count and write 20 Count and order to 20 8.4 Compare numbers to 20 8.5 Count to 50 by ones twenty twenty one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty fifty Academic Services Department 2014-2015 9 Go Math! Kindergarten Curriculum Map 8.6 8.7 8.8 Assessment Assessment Count to 100 by ones Count to 100 by tens Count by tens Chapter 8 Review Chapter 8 Test use Form B in Assessment Guide Chapter 9 one hundred tens tens Identify and Describe Two-Dimensional Shapes Critical Area: Describing shapes and space Domain: Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres.) CC.K.G- 2. Correctly name shapes regardless of their orientations or overall size. Analyze, compare, create, and compose shapes CC.K.G.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) CC.K.G.6- Compose simple shapes to form larger shapes Mathematical Practices: 3. Construct viable arguments and critique the reasoning of others. Chapter 9 Daily Pacing Chart Instruction Assessment Introduction 1 day Date 2/11 To 3/10 7. Look for and make use of structure. 12 days 2 days Total 15 days Lesson Introduction 9.1 9.2 9.3 Lesson Objective Academic Vocabulary Identify and name two dimensional shapes including circles Describe attributes of circles Identify and name two dimensional shapes including square 9.4 9.5 9.6 9.7 Describe attributes of squares Identify and names two dimensional shapes including triangles Describe attributes of triangles Identify and name two dimensional shapes including Circle, two-dimensional shapes curve Corners, sides, square, vertex, vertices, two dimensional shapes Sides of equal length, corners, sides, square, vertex, triangle, two dimensional corners, sides, triangle, vertex, vertices rectangle , sides of equal length, two d sides of equal Academic Services Department 2014-2015 10 Go Math! Kindergarten Curriculum Map rectangles Describe attributes of rectangles 9.8 9.9 9.10 9.11 Identify and name two dimensional shapes including hexagons Describe attributes of hexagons Use the words alike and different to compare two-dimensional shapes by attributes Solve problems by using the strategy draw a picture Chapter 9 Review Chapter 9 Test use Form B in Assessment Guide Chapter 10 9.12 Assessment Assessment length, two dimensional rectangle sides of equal length, two d sides of equal length, two dimensional hexagon, two dimensional shapes corners, hexagon, sides, vertex, vertices alike, different, two dimensional Critical Area: Describing shapes and space Domain: Geometry Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres.) CC.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. CC.K.G- 2- Correctly name shapes regardless of their orientations or overall size. CC.K.G.-3 -Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”). Analyze, compare, create, and compose shapes CC.K.G-.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) Mathematical Practices: 3. Construct viable arguments and critique the reasoning of others. Introduction 1 day 7. Look for and make use of structure. Chapter 10 Daily Pacing Chart Instruction Assessment 9 days Total 2 days 12 days Date Lesson Lesson Objective Academic Vocabulary Introduction 3/11 10.1 To 10.2 Analyze and compare three dimensional shapes by attributes Identify, name, and describe three dimensional shapes including spheres Flat surface, curved surface, roll, stack slide Sphere, three dimensional Academic Services Department 2014-2015 11 Go Math! Kindergarten Curriculum Map 4/10 10.3 10.4 Identify, name, and describe three dimensional shapes including cubes Identify, name, and describe three dimensional shapes including cylinders Identify, name, and describe three dimensional shapes including cones Solve problems by using the strategy use logical reasoning 10.5 10.6 10.7 10.8 10.9 Assessment Assessment Use the terms above and below to describe shapes in the environment Use the term beside and next to describe shapes in the environment Use the terms in front of and behind to describe shapes in the environment Chapter 10 Review Chapter 10 Test use Form B in Assessment Guide Due in OARS Cube, three dimensional, flat surface Cylinder, three dimensional, flat surfaces, curved surfaces Cone, three dimensional, curves surface Flat, solid, three-dimensional, two dimensional shapes above, below Beside, next to In front of, behind Chapter 11 Critical Area: Representing, relating, and operating on whole numbers, initially with sets of objects. Domain: Measurement and Data Describe and compare measurable attributes CC.K.MD1. -Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. CC.K.MD2.- 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. Mathematical Practices: 1. Make sense of problems and preserve in solving them. 6. Attend to precision. Chapter 11 Daily Pacing Chart Instruction Assessment Introduction 1 day 5 days 2 days Total 8 days Date Lesson Lesson Objective Academic Vocabulary 4/13 To 5/5 Introduction 11.1 11.2 11.3 Directly compare the lengths of two objects Directly compare the heights of two objects Solve problems by using the strategy draw a picture Longer, same length, shorter Same height, taller, shorter Longer, same height, same length, shorter, taller Academic Services Department 2014-2015 12 Go Math! Kindergarten Curriculum Map 11.4 11.5 Assessment Assessment Directly compare the weights of two objects Describe several measurable attributes of a single object Chapter 11 Review Chapter 11 Test use Form B in Assessment Guide Heavier, lighter, same length Heavier, lighter, longer, shorter, taller Chapter 12 Classify and Sort Data Critical Area: Representing, relating, and operation on whole numbers, initially with sets of objects Domain: Measurement and Data Classify objects and count the number objects in each category. CC2.MD3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count. Mathematical Practices: 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others Chapter 12 Daily Pacing Chart Instruction Assessment Introduction 1 day 6 days Date Lesson 5/6 To 6/12 Introduction 12.1 12.2 12.3 12.4 12.5 12.6 Assessment Assessment EOY Assessment Academic Services Department 2014-2015 2 days Total 9 days Lesson Objective Academic Vocabulary Classify and count objects by color Classify and count objects by shape Classify and count objects by size Make a graph to count objects that have been classified into categories Read and graph to count objects that have been classified into categories Solve problems by using strategy use logical reasoning Chapter 12 Review Chapter 12 Test use Form B in Assessment Guide End-of-Year Assessment Due in OARS blue, category, classify shape, category, classify big, size, small graph, category, classify graph, category, classify 13