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Bloomfield Grade 1 (2016-2017) 1 BLOOMFIELD PUBLIC SCHOOLS Bloomfield, New Jersey 07003 Curriculum Guide Mathematics Grade 1 Prepared by: Nancy Schultz Salvatore Goncalves, Superintendent of Schools Sandra Searing, Assistant Superintendent of Curriculum and Instruction Roger Marchegiano, Supervisor of Mathematics Conforms to the New Jersey Student Learning Standards Board Approved: August 23, 2016

BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

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Page 1: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

1

BLOOMFIELD PUBLIC SCHOOLS Bloomfield, New Jersey 07003

Curriculum Guide

Mathematics

Grade 1

Prepared by: Nancy Schultz

Salvatore Goncalves, Superintendent of Schools

Sandra Searing, Assistant Superintendent of Curriculum and Instruction Roger Marchegiano, Supervisor of Mathematics

Conforms to the New Jersey Student Learning Standards

Board Approved: August 23, 2016

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Title of Unit Operations and Algebraic Thinking Grade Level 1

Curriculum Area Mathematics Time Frame 19-22 days

Desired Results (Stage 1)Established Goals/Standards

1.OA.A.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. 1.OA.A.2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. ART: Create pictures that represent addition and subtraction. MUSIC: Sing addition and subtraction songs 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

TransferStudents will be able to independently use their learning to represent and solve problems involving addition and subtraction.

Meaning Understandings Essential Questions

Students will understand that… Students will keep considering… U1 - addition involves adding to and putting together. U2 - subtraction involves taking from, taking apart, and comparing. U3 - missing numbers in a math sentence can be found using addition and subtraction. U4 - a symbol can represent an unknown. U5 - objects, drawings, and equations can be used to solve problems.

Q1 - How can one find the total of parts? Q2 - How can one find the missing part of a whole?

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Knowledge Students will know…

SkillsStudents will be able to…

K1 - the meaning of addition. K2 - the meaning of subtraction. K3 - there are multiple interpretations of addition and subtraction.

S1 - add on to a group in order to find a total amount. S2 - solve problems as part-part-whole problems when joining or putting them together. S3 - use subtraction to determine how many more are in one group than another (comparing). S4 - solve word problems that call for the addition of three whole numbers whose sum is less than 20. S5 - use objects and drawings to represent problems. S6 - use equations with a symbol for the unknown number to represent the problem.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U5 Q1 – Q2 K1 – K3

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Represent problems involving addition and subtraction. Solve problems involving addition and subtraction.

S1 – S6

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

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Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 2.3, 2.4, 2.6, 2.7, 2.8, 3.1, 3.2, 3.4, 3.5, 3.6, 3.7 Unit 2: 1.3 Unit 3: 2.1, 2.4, 2.6, 2.7, 2.8, 3.1, 3.2, 3.6, CR 2.3, CR 2.5, 3.1, CR 3.1, CR 3.2, CR 3.4, 3.6, CR 3.6 Unit 4: 1.5, 1.6, 1.7, 1.8, 2.6 Unit 5: 1.1, 1.5, 1.6, 1.7, 1.8, 2.3, 2.4, 2.6, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7 Unit 6: Investigation 1, Investigation 2 Unit 7: 1.1, 1.2, CR 1.1, CR 1.2, CR 1.3

Grade 1 Mathematics Curriculum Binder Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

Title of Unit Operations and Algebraic Thinking Grade Level 1

Curriculum Area Mathematics Time Frame 10-13 days

Desired Results (Stage 1)Established Goals/Standards

1.OA.B.3 Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

1.OA.B.4 Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8. Add and subtract within 20.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to understand and apply properties of operations and the relationship between addition and subtraction.

MeaningUnderstandings Essential Questions

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Students will understand that… Students will keep considering… U1 - properties of operations are used as strategies for solving addition and subtraction problems. U2 - knowing how addition and subtraction are related helps us to solve math problems.

Q1 - What is the relationship between addition and subtraction? Q2 - How can properties of operations help to solve addition and subtraction problems?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - the properties of operations (but will not use formal terms for these properties.)

S1 - apply the properties of operations to solve problems involving addition and subtraction. S2 - solve a subtraction problem by making it an unknown-addend problem.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U2 Q1 – Q2 K1

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to understand Apply properties of operations and the relationship between

addition and subtraction. S1 – S2

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals. Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7 Unit 2: 1.3 Unit 3: 1.1, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 3.1, 3.2, 3.3, 3.4, 3.6, 4.8 Unit 4: 1.5, 1.6, 1.7, 1.8, 2.6 Unit 5: Investigation 1, Investigation 2, Investigation 3 Unit 6: CR 1.3, CR 1.5, CR 2.2, CR 2.3

Grade 1 Mathematics Curriculum Binder Suggested Activities Suggested Resources

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Illuminations lessons http://illuminations.nctm.org http://nlvm.usu.edu https://www.illustrativemathematics.org/

Title of Unit Operations and Algebraic Thinking Grade Level 1 Curriculum Area Mathematics Time Frame 21-24 days

Desired Results (Stage 1) Established Goals/Standards

1.OA.C.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). 1.OA.C.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

Primary Interdisciplinary Connections LAL: Connect math and literacy through reading books. 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer Students will be able to independently use their learning to add and subtract within 20.

Meaning Understandings Essential Questions

Students will understand that… Students will keep considering…

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U1 - there are multiple strategies to add and subtract. U2 - counting is related to addition and subtraction. U3 - how many or how much there is of something increases with addition and decreases with subtraction.

Q1 - How is counting related to addition and subtraction? Q2 - How can a problem be simplified? Q3 - What strategies are available to determine how much or how many we have?

Knowledge Students will know…

Skills Students will be able to…

K1 - numbers that make 10 will help solve problems. K2 - numbers can be decomposed into simpler terms. K3 - counting on strategies. K4 - “making 10” strategies. K4 - “decomposing 10” strategies. K5 - the inverse relationship between addition and subtraction. K6 - solutions can be found by forming equivalent but easier or known sums.

S1 - add within 20. S2 - subtract within 20. S3 - fluently add within 10. S4 - fluently subtract within 10. S5 - count on to add. S6 - decompose a number leading to 10.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U3 Q1 – Q3 K1 – K6

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to add and subtract within 20.

S1 – S6

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

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Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 1.4, 1.5, Investigation 2, Investigation 3 Unit 2: 1.1, 1.2, 1.3, 1.4, CR 1.3, CR 1.6, CR 2.5 Unit 3: Investigation 1, Investigation 2, Investigation 3, 4.8 Unit 4: 1.5, 1.6, 1.7, 1.8, 2.6 Unit 5: Investigation 1, Investigation 2, Investigation 3 Unit 6: Investigation 1, 2.3 Unit 7: 1.1, 1.2, 1.3, 2.1, 2.2, 2.4, 2.5

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

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Title of Unit Operations and Algebraic Thinking Grade Level 1

Curriculum Area Mathematics Time Frame 9-12 days

Desired Results (Stage 1)Established Goals/Standards

1.OA.D.7 Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2. 1.OA.D.8 Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ – 3, 6 + 6 = _.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books.

21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to work with addition and subtraction equations.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - the equal sign represents two sides that are balanced and have equivalent expressions on each side. U2 - an equation is true if the representation on the left side of the equal sign is equivalent to the representation on the right side of the equal sign; otherwise it is false. U3 - if an unknown number must be found, it must make the equation true.

Q1 - How can one determine if an equation is true or false? Q2 - When the unknown number is found for an equation, how can one tell if it is correct?

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Knowledge Students will know…

SkillsStudents will be able to…

K1 - an equation is true only if the left and right sides of an equal sign have equivalent expressions. K2 - that an unknown represents a number that will make an equation true.

S1 - determine if an equation is true or false. S2 - determine the value of an unknown which will make the equation true. S3 - relate three numbers to each other through the use of an equation.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U3 Q1 – Q2 K1 – K2

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to work with addition and subtraction equations.

S1 – S3

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.2, 3.3, 3.4, 3.6, 3.7 Unit 3: 1.1, 1.2, 1.3, 1.4, 2.5, 2.6, 2.7, 2.8, Investigation 3, 4.8 Unit 4: CR 1.2, CR 1.4, 1.6, CR 1.6, CR 2.3 Unit 5: 1.2, 1.4, 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 Unit 7: 1.6, 1.7, 1.8

Grade 1 Mathematics Curriculum Binder Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

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Title of Unit Numbers and Operations in Base Ten Grade Level 1

Curriculum Area Mathematics Time Frame 8-11 days

Desired Results (Stage 1)Established Goals/Standards

1.NBT.A.1 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books.

21st Century Interdisciplinary Themes: _x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to extend the counting sequence.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - counting involves patterns.

Q1 - How does where the digits are located affect how one reads the number? Q2 - How do counting patterns help one to count?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - counting patterns. K2 - how to read a number in the hundreds, tens, and ones place (for example, in 88 the 8 in the tens place is read as eighty whereas the 8 in the ones place is read as eight.)

S1 - count to 120, starting at any number less than 120. S2 - read numerals from 0 to 120. S3 - write numerals from 0 to 120. S4 - represent a number of objects with a written numeral, up to 120.

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Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 Q1 – Q2 K1 – K2

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to extend the counting sequence.

S1 – S4

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: Investigation 1, 3.6 Unit 2: 2.3 Unit 3: Investigation 4 Unit 4: CR 1.2, CR 1.4, CR 1.6, CR 2.3 Unit 5: CR 1.3, CR 1.3, CR1.5, CR 1.8, CR 2.1, CR 2.3, CR 2.5, CR 2.7, CR 3.1, CR 3.3, CR 3.4, CR 3.5, CR 3.6, CR 3.7 Unit 6: CR 1.3, CR 1.5, CR 2.2, CR 2.3 Unit 7: 1.3, 1.4, 1.5, 1.6, 1.7, 1.8 Investigation 2, Investigation 3

Grade 1 Mathematics Curriculum Binder Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

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Title of Unit Number and Operations in Base Ten Grade Level 1

Curriculum Area Mathematics Time Frame 9-12 days

Desired Results (Stage 1)Established Goals/Standards

1.NBT.B.2 Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a. 10 can be thought of as a bundle of ten ones — called a “ten.” b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. c. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

1.NBT.B.3 Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books.

21st Century Interdisciplinary Themes: _x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

TransferStudents will be able to independently use their learning to understand place value.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - the location of digits in a number determines the value of the number. U2 - to compare two numbers, one must compare the digits in each place, starting with the tens place.

Q1 - Why is place value important?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - the representation of 1 – 9 as ones; 11 – 19 as a composition of one ten plus ones. K2 - the two digits in a two-digit number represent the amount of tens and ones. K3 - the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

S1 - identify ten as ten ones bundled. S2 - identify tens and ones in a two-digit number. S3 - compare two digit numbers using <, =, and >.

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Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U2 Q1 K1 – K3

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to understand place value.

S1 – S3

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 1.3, 1.4, 1.5 Unit 2: CR 1.3, CR 1.6, CR 2.5 Unit 3: 1.2, 1.4, 2.4, 4.1, CR 2.1, CR 2.4, CR 2.8, CR 3.65, CR 4.2, 4.4, CR 4.4, CR 4.6 Unit 4: CR 1.2, CR 1.4, CR 1.6, CR 2.3 Unit 5: 2.1, 2.3, CR 1.4, CR 1.6, 2.1, CR 2.2, 2.3, CR 2.6, CR 3.3, CR 3.4, CR 3.5 Unit 6: 1.1, CR 1.1, CR 1.2, CR 1.4, CR 1.6, CR 1.7, CR 1.9 Unit 7: 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, Investigation 2, Investigation 3

Grade 1 Mathematics Curriculum Binder Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

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Title of Unit Number and Operations in Base Ten Grade Level 1

Curriculum Area Mathematics Time Frame 13-16 days

Desired Results (Stage 1)Established Goals/Standards

1.NBT.C.4 Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. 1.NBT.C.5 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. 1.NBT.C.6 Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. SOCIAL STUDIES: Relate fact families to students’ families

21st Century Interdisciplinary Themes: _x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to use place value understanding and properties of operations to add and subtract.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - concrete models, drawings, strategies based on place value, properties of operations, and/or the relationship between addition and subtraction can help one solve problems. U2 - when adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. U3 - when subtracting multiples of 10 from multiples of 10, one subtracts tens from tens and knows that 0 remains in the ones place.

Q1 - How does place value help one find the answers to addition and subtraction problems?

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Knowledge Students will know…

SkillsStudents will be able to…

K1 - properties of operations to add and subtract. K2 - the values of digits in a two-digit number.

S1 - add a two-digit number and a one-digit number, with a sum within 100. S2 - add a two-digit number and a multiple of ten, with a sum within 100. S3 - given a two-digit number, mentally find 10 more or 10 less than the number, without having to count. S4 - subtract multiples of 10 in the range 10 – 90, from multiples of 10 in the range 10 – 90 (positive or 0 differences). S5 - relate a strategy to a written method. S6 - explain the reasoning used for a given strategy.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U3 Q1 K1 – K2

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to use place value understanding and properties of operations to add and subtract.

S1 – S6

Learning Plan (Stage 3)Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 7: 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 2.5, 2.6, 2.7, 2.8, Investigation 3

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

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Title of Unit Measurement and Data Grade Level 1 Curriculum Area Mathematics Time Frame 7-10 days

Desired Results (Stage 1)Established Goals/Standards

1.MD.A.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object. 1.MD.A.2 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.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books.

21st Century Interdisciplinary Themes: _x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to measure lengths indirectly and by iterating length units.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - lengths of objects can be compared to lengths of other objects. U2 - measurement is an iteration of same-size units.

Q1 - How do we measure the length of an object? Q2 - How do we compare the lengths of two objects?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - the units used to measure an object should not overlap. K2 - the units used to measure an object should not have gaps between them. K3 - the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.

S1 - order three objects by length. S2 - compare the lengths of two objects indirectly by using a third object. S3 - express the length of an object as a whole number of length units.

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Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U2 Q1 – Q2 K1 – K3

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to measure lengths indirectly and by iterating length units.

S1 – S3

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 4: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

Page 19: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

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Title of Unit Measurement and Data Grade Level 1

Curriculum Area Mathematics Time Frame 10-13 days

Desired Results (Stage 1)Established Goals/Standards

1.MD.B.3 Tell and write time in hours and half-hours using analog and digital clocks.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. SOCIAL STUDIES: Create a time line of the students’ day SCIENCE: Sun rise and sun set HEALTH: How much sleep is needed? PHYSICAL EDUCATION: Use of the stopwatch 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to tell and write time.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - when time passes, the hour hand and the minute hand move at different rates.

Q1 - How do the positions of the hands on an analog clock indicate the time? Q2 - How do the numbers on a digital clock indicate the time?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - on an analog clock, the difference between the hour hand and the minute hand. K2 - on an analog clock, on the hour, the hour hand is pointing exactly to the number that represents the hour; on the half-hour, the hour hand is pointing exactly half-way between two numbers. K3 - on a digital clock, the digits to the left of the colon represent the hour and the digits to the right of the colon represent the minutes.

S1 - tell and write time in hours using an analog clock. S2 - tell and write time in hours using a digital clock. S3 - tell and write time in half-hours using an analog clock. S4 - tell and write time in half-hours using a digital clock.

Page 20: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

20

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 Q1 – Q2 K1 – K3

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to tell and write time.

S1 – S4

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: CR 2.3 Unit 3: CR 1.4, CR 2.7, CR 4.3 Unit 4: 1.2, 2.1, 2.5 Unit 5: CR 1,1, CR 1.7, CR 2.4, CR 2.8, CR 3.2 Unit 6: CR 1.8, CR 2.1 Unit 7: CR 2.1, CR 3.3 Unit 8: CR 1.1, CR 1.3, CR 1.5, 1.6, CR 1.6

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

Page 21: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

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Title of Unit Measurement and Data Grade Level 1 Curriculum Area Mathematics Time Frame 9-12 days

Desired Results (Stage 1)Established Goals/Standards

1.MD.C.4 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. SCIENCE: Graph the weather HEALTH: Graph healthy foods PHYSICAL EDUCATION: Graph number of jumping jacks, how far everyone can kick a ball, etc… 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer

Students will be able to independently use their learning to represent and interpret data.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - there are many ways to analyze data.

Q1 - How can representing data help us to interpret it and draw conclusions?

Knowledge Students will know…

SkillsStudents will be able to…

K1 - the total number of data points will be represented in two or more categories.

S1 - organize data with up to three categories.S2 - represent data with up to three categories. S3 - interpret data with up to three categories. S4 - compare the number of data points in two categories.

Page 22: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

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Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 Q1 K1

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to represent and interpret data.

S1- S4

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals.

Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: 1.5 Unit 2: 2.1, 2.2, 2.3, 2.4 Unit 3: 4.1 Unit 6: Investigation 1, Investigation 2

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources Illuminations lessons http://illuminations.nctm.org

http://nlvm.usu.edu https://www.illustrativemathematics.org/

Page 23: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

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Title of Unit Geometry Grade Level 1

Curriculum Area Mathematics Time Frame 12-15 days

Desired Results (Stage 1)Established Goals/Standards

1.G.A.1 Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. 1.G.A.2 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. 1.G.A.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Primary Interdisciplinary ConnectionsLAL: Connect math and literacy through reading books. ART: Lines of symmetry SCIENCE: Explore butterflies and symmetry 21st Century Interdisciplinary Themes:

_x Global Awareness _x Financial, economic, business, and entrepreneurial literacy __ Civic Literacy __ Health Literacy

Transfer Students will be able to independently use their learning to reason with shapes and their attributes.

MeaningUnderstandings Essential Questions

Students will understand that… Students will keep considering… U1 - attributes may or may not define a shape. U2 - new shapes can be made from two or more other shapes. U3 - compositions must be within the same dimension. U4 - shares of a whole must always be equal. U5 - decomposing into more equal shares creates smaller shares.

Q1 - Why do we need to identify shapes? Q2 - Why would we compose or decompose shapes?

Page 24: BLOOMFIELD PUBLIC SCHOOLS...Bloomfield Grade 1 (2016-2017) 3 Knowledge Students will know… Skills Students will be able to… K1 - the meaning of addition. K2 - the meaning of subtraction

Bloomfield Grade 1 (2016-2017)

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Knowledge Students will know…

SkillsStudents will be able to…

K1 - shapes are characterized by their defining attributes (number of sides, size of angles, etc.). K2 - non-defining attributes (color, overall size, orientation, etc.) give additional information but do not characterize the shape.

S1 - distinguish between defining and non-defining attributes. S2 - build shapes to possess defining attributes. S3 - draw shapes to possess defining attributes. S4 - compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) to create a composite shape. S5 - compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders)* to create a composite shape. S6 - partition circles into two and four equal shares. S7 - partition rectangles into two and four equal shares. S8 - appropriately use the words halves, fourths and quarters and the phrases half of, fourth of, and quarter of. S9 - describe the whole as two of, or four of the shares. *Students do not need to learn formal names.

Evidence (Stage 2) Checks for Alignment Evaluation Criteria

Performance is judged in terms of… Assessment Evidence

U1 – U5 Q1 – Q2 K1 – K2

Formative question-answer in class homework portfolio

Summative periodic assessment tasks/checklists

Transfer Task(s)

Independently use their learning to reason with shapes and their attributes.

S1 – S9

Learning Plan (Stage 3) Checks for alignment Summary of Key Learning Events and Instruction and best practice The teaching and learning needed to achieve the unit goals. Required Activities Required Resources

Classroom Routine (CR) Activity Discussion Math Workshop Assessment Session Follow-Up Games

Investigations3: Unit 1: Investigation 1 Unit 2: Investigation 1, Investigation 2 Unit 4: Investigation 2, CR 1.8, CR 2.1, CR 2.2, CR 2,4, CR 2.5, CR 2.6 Unit 8: Investigation 1

Grade 1 Mathematics Curriculum Binder

Suggested Activities Suggested Resources