Math
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Unit 1- Math Is... Dates: 2 Weeks
Essential Question: What does it mean to do math?
Long-Term Targets: Students are learning how to see math in their worlds, explain their thinking, notice/describe patterns, and identify classroom practices.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
1
K.CC.A.5 Answer counting questions using as many as 20 objects arranged in a line, a rectangular array, and a circle. Answer counting questions using as many as 10 objects in a scattered configuration.
K.CC.B.5 Given a number from 1-20, count out that many objects.
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.
K.CC.A.1 Count to 100 by ones and by tens
Content Vocabulary: hobby, story, strengths, problem, circle, rectangle, shape, square, triangle, cube, cylinder, diamond, pattern
I can describe ways we use math in our lives and our world.
Academic Vocabulary: future, positive, describe, explain
Mathematical Practices and Processes: Students explore their identities as doers of math and think about ways to show real-world problems.
Number Routines and Engagement Routines: Building fluency by counting, grouping, sorting, and comparing objects.
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: NA
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (1.1)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (1.2)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (1.3)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 2- Numbers to 5 Dates: 3 Weeks
Essential Question: How do I count, show, and compare numbers?
Long-Term Targets: Students will learn to connect numbers to quantities, count groups of objects using 1:1 from 0-5, identify numbers 0-5, use 1:1 to determine if groups are greater than, less than, or equal to, and they will count to compare two groups of objects.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
2
K.CC.B4a 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.B4b Understand that the last number name said tells the number of objects counted (cardinality). The number of objects is the same regardless of their arrangement or the order in which they were counted.
K.CC.B.4 Understand the relationship between numbers and quantities up to 20; connect counting to cardinality.
K.CC.A.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).
K.CC.C6 Identify whether the number of objects in one group is greater than (more than), less than (fewer than), or equal to (the same as) the number of objects in another group.
Content Vocabulary: one, two, three, four, five, zero, one more, equal, equal group, matching, fewer, greater than, less than, more
I can count objects to five.
I can explain how to count objects to five.
Academic Vocabulary: count, explain, model, order, example, represent, compare, relate
Mathematical Practices and Processes: Students understand the relationship between numbers and quantities when using objects and illustrations to count 1, 2, 3, 4, and 5.
Number Routines and Engagement Routines: Building fluency by counting dots on cards (or other objects) and explaining how they knew
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: NA
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (2.8)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (2.3)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (2.2)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 3- Numbers to 10 Dates: 3 Weeks
Essential Question: How do I count, show, compare, and write numbers?
Long-Term Targets: Students will continue to learn to connect numbers to quantities, count groups of objects 1:1 from 6-10 (in a line, scattered formation, and various formations), identify numbers 6-10, using 1:1 to determine if groups are greater than, less than, or equal to, and they will count to compare two groups of objects.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
3
K.CC.B.4 Understand the relationship between numbers and quantities up to 20; connect counting to cardinality.
K.CC.B4a 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.B4b Understand that the last number name said tells the number of objects counted (cardinality). The number of objects is the same regardless of their arrangement or the order in which they were counted.
K.CC.B.4c Understand the concept that each successive number name refers to a quantity that is one larger.
K.CC.C6 Identify whether the number of objects in one group is greater than (more than), less than (fewer than), or equal to (the same as) the number of objects in another group.
K.CC.7 Compare two numbers between 1 and 10 presented as written numerals.
K.CC.A.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).
Content Vocabulary: six, seven, eight, nine, ten, one more, equal, fewer, more, equal groups, greater than, less than, zero, one, two, three, four, five
I can count objects up to 10.
I can explain how to count objects up to 10.
I can compare two numbers by counting.
Academic Vocabulary: count, explain, model, order, represent, compare, describe, place, understand, careful, point
Mathematical Practices and Processes: Understand the relationship between numbers and quantities when using objects and illustrations to count 6, 7, 8, 9, and 10 objects. Use 1:1 correspondence and counting to compare two groups or two numbers.
Number Routines and Engagement Routines: Build visual discrimination and counting skills to determine quantities or tell how many, talk about their reasoning, and recognize, build, and continue patterns.
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: Unit 3 Assessment Form A
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (3.10)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (3.8)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (3.4)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 4 : Sort, Classify, and Count Objects Dates: 2 Weeks
Essential Question: How can I use attributes to sort a collection of objects
Long-Term Targets: Students will describe similarities and differences in groups of objects.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
4
K.MD.B.3 Classify objects into given categories; count the objects in each category and sort the categories by count.
Content Vocabulary: alike, different, sort, fewer, more, shape, size
I can identify how objects are alike and different.
I can explain how objects are alike and different.
Academic Vocabulary: compare, describe, group, similar, count, explain
Mathematical Practices and Processes: Students describe similarities and differences in the attributes of a given set of objects, sort objects by attribute, and determine the number of objects in sorted groups.
Number Routines and Engagement Routines: Students determine and continue patterns and count objects
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: Unit 4 Assessment
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (4.2)
Innovative Problem-Solver: Students evaluate real life problems and how to work together.
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (4.1)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 5- 2 Dimensional Shapes Dates: 2 Weeks
Essential Question: How can I identify 2 dimensional shapes?
Long-Term Targets: Students will learn to identify shapes by name, describe them by their attributes, and describe the position of these shapes in their environment.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
5
K.G.A Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders and spheres).
K.G.A.2 Name shapes regardless of their orientation or overall size.
Content Vocabulary: side, triangle, vertex, vertices, rectangle, square, hexagon, circle, positional words
I can identify, name and describe -
Triangle
Hexagons
Squares
Rectangle
Circles
Students can describe objects using the names of shapes and their relative position.
Academic Vocabulary: describe, explain, example, because, property
Mathematical Practices and Processes: Students can identify, name and describe Triangles, Hexagons, Squares, Rectangles, Circles. Students can describe objects using the names of shapes and their relative position.
Number Routines and Engagement Routines: Look for matches when looking at numbers and dots, find certain number of objects in the picture
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required:
Unit 5 Assessment Form A
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (5.3)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (5.5)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (5.2)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 6: Understand Addition Dates: 2 Weeks
Essential Question: How can I solve addition word problems?
Long-Term Targets: Understand basic concepts of addition through 10, use drawing and objects to represent addition stories, add one part to another or add two parts together, learn + & = signs and learn how to sue them, and solve word problems involving “add to” or “put together” situations.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
6
K.OA.A Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A1 Represent addition and subtraction using objects, fingers, pennies, drawings, sounds, acting out situations, verbal explanations, expressions, equations or other strategies.
K.OA.A.2 Add and subtract within 10.
Content Vocabulary: add, in all, join, sum (total), equal sign (=), equation, plus sign(+)
I can show “add to” problems
I can explain how to show “add to” problems
I can show “add to” problems using objects and equations
I can explain how to show “add to” problems using objects and equations
I can show putting together two parts to find the total
I can explain how to put together two parts to find the total
I can solve addition word problems using objects or drawings
I can explain how to solve addition word problems using objects or drawings
I can represent and solve addition word problems
I can explain how to represent and solve addition word problems
Academic Vocabulary: count, place, example, combine, differ/different, compare, different, similar
Mathematical Practices and Processes: Students represent addition word problems as putting two numbers together using objects or drawing
Number Routines and Engagement Routines: Students use visual discrimination and counting skills as they find the exact number of things and talk about their reasoning
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: Unit 6 Assessment Form A
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (Unit Opener)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (6.1 and 6.2)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (6.4)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 7- Understand Subtraction Dates: 2 Weeks
Essential Question: How can I solve subtraction problems?
Long-Term Targets: Understand basic concepts of subtraction through to, use drawing and objects to represent subtraction stories, take one group apart from a larger group, learn – and = signs and learn how to use them, and use various strategies to solve/represent subtraction stories such as counting, using objects/drawings, or acting out.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
7
K.OA.A.1- Use addition and subtraction within 20 to solve one step word problems involving situations of adding to, taking from, putting together, taking apart, and/or comparing, with unknowns in all positions.
K.OA.A.2- Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20.
Content Vocabulary: difference, subtract, difference, minus, equation, minus sign, add
I can represent take apart problems.
I can explain how to represent take apart problems.
Academic Vocabulary: count, different, explain, reasoning, solve, pattern, understand
Mathematical Practices and Processes: Students represent and solve take apart problems.
Number Routines and Engagement Routines: Daily subtraction facts, number recognition, build number sense while counting along a path from 0-10, break apart a number in multiple ways.
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required: Unit 7 Assessment Form A
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (Unit Opener)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (7.1)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (7.3)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others
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Unit 8 Addition and Subtraction Strategies Dates: 3 Weeks
Essential Question: How can I make and decompose numbers in more than 1 way
Long-Term Targets: Learn to compose and decompose numbers or recognize and represent numbers into combinations of numbers and find multiple ways to make a given number (compose) or break apart (decompose) that number.
Unit Pacing
Next Generation State Standards (Priority Standards Highlighted)
Key Topics
Learning Targets
8
K.OA.A Represent addition and subtraction using objects, fingers, pennies, drawing, sounds, acting out situations, verbal explanations, expressions, equations, or other strategies.
K.OA.A.5 Fluently add and subtract within 5.
K.OA.A.1- Use addition and subtraction within 20 to solve one step word problems involving situations of adding to, taking from, putting together, taking apart, and/or comparing, with unknowns in all positions.
K.OA.A.3- Apply properties of operations as strategies to add and subtract.
K.OA.A.4- Find the number that makes 10 when given a number from 1 to 9.
Content Vocabulary: explain, model, solve, combine, pattern,
I can solve addition equations.
I can solve subtraction equations.
Academic Vocabulary: add, count on, number path, sum, equation
Mathematical Practices and Processes: Students solve addition and subtraction equations within 5. Students will compose and decompose numbers 5-10 in different ways.
Number Routines and Engagement Routines: break apart a number in multiple ways and sharing with the class, practice comparing two sets of quantities, counting on from a given number
Assessments
Portrait of a Graduate
Social and Emotional Learning
Required:
Unit 8 Assessment Form A
Optional:
Critical Thinker: Students analyze and use information thoughtfully by asking questions and changing their thinking. (Unit Opener)
Innovative Problem-Solver: Students evaluate real life problems and how to work together. (8.1)
Effective Communicator: Students listen actively to their partners, to make pertinent comments, and to ask questions, as needed, to clarify information. (8.4)
3A.1b. Create, understand, and practice shared classroom expectations that support the well-being of self and others.
3C.1a. Identify ways they can help their classroom community.
2D.1b. Communicate needs and wants clearly with peers and trusted adults, and practice approaches to navigating conflicts with adult support.
2A.1b. Use listening skills to identify the feelings and perspectives of others