M_7thGr_1st_6wks_GPS_1112 - Curriculum

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Course: 7 th Grade Math Austin ISD Grading Period Snapshot (GPS)

Grading Period (1 st 6 weeks)

Focus TEKS Student Expectations

Big Idea/Concept – Numbers and

Operations (Integers and Integer

Operations)

7.1: The student represents and uses numbers in a variety of equivalent forms. The student is expected to:

7.1A: compare and order integers and

positive rational numbers. RC 1

7.1B: convert between fractions, decimals, whole numbers, and percents mentally, on

paper, or with a calculator. RC 1

7.2: The student adds, subtracts, multiplies, or divides to solve problems and justify solutions.

The student is expected to:

7.2C: use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and

connect the actions to algorithms. RC 1

7.13: The student applies Grade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:

7.13A: identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics. DC

7.14: The student communicates about Grade 7 mathematics through informal and mathematical language, representations, and models. The student is expected to:

7.14A: communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models. DC

What Teachers Do

 Use academic vocabulary and embed essential questions throughout lessons

 Use a variety of teaching strategies to promote conceptual understanding and expect active engagement from all students

 Incorporate hands-on activities, group work, etc. into lessons

 Ask high level questions that encourage students to think deeply about concepts

 Check for understanding and monitor and address

 misconceptions

Teach the following concepts: o Academic vocabulary – o Essential – rational number, integer, positive, negative, opposites, zero pair o Supporting – operation, sum, difference, product, quotient o Strategies for comparing and ordering integers o Various models for operations with integers o How to connect models for integer operations to algorithms for integer operations o How integer operations are interrelated o How integers are used in real world situations

What Students Do

 Use academic vocabulary and speak in ways that reflect understanding of essential questions

 Participate in activities that lend themselves to conceptual understanding, such as handson activities, group work, etc.

 Speak in a way that demonstrates conceptual understanding

 Demonstrate understanding of the following concepts: o Appropriately using academic vocabulary o Various strategies for comparing and ordering and operations with integers o Drawing models for comparing and ordering and operations with integers o Using integers in real world situations

2011 - 2012

Student Work

Products/Assessment Evidence

Work Products:

 Posters, Foldables, etc.

 Journals/Interactive

Notebooks

Classwork

Homework

Assessments:

Short-Cycle Assessments

Performance Tasks

Teacher-created tests/quizzes

Enter/Exit slips

Teacher observation

© 2010 Austin Independent School District Course 7 th grade math Page 1 of 5 updated 4/12/2020 updated 5/4/10

Course: 7 th Grade Math

Focus TEKS Student Expectations

7.15: The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to:

7.15A: make conjectures from patterns or sets of examples and nonexamples. DC

7.15B: validate his/her conclusions using mathematical properties and relationships.

DC

Note: Numbers do not equate priority

Austin ISD Grading Period Snapshot (GPS)

Grading Period (1 st 6 weeks)

What Teachers Do What Students Do

© 2010 Austin Independent School District Course 7 th grade math Page 2 of 5

2011 - 2012

Student Work

Products/Assessment Evidence updated 4/12/2020 updated 5/4/10

Course: 7 th Grade Math Austin ISD Grading Period Snapshot (GPS)

Grading Period (1 st 6 weeks)

Focus TEKS Student Expectations

Big Idea/Concept – Numbers and

Operations (Squares/Square Roots and

Order of Operations)

7.1: The student represents and uses numbers in a variety of equivalent forms. The student is expected to:

7.1C: represent squares and square roots

using geometric models. RC 1

7.2: The student adds, subtracts, multiplies, or divides to solve problems and justify solutions.

The student is expected to:

7.2E: simplify numerical expressions

involving order of operations and exponents.

RC 1

Note: Numbers do not equate priority

What Teachers Do

 Use academic vocabulary and embed essential questions throughout lessons

 Use a variety of teaching strategies to promote conceptual understanding and expect active engagement from all students

 Incorporate hands-on activities, group work, etc. into lessons

 Ask high level questions that encourage students to think deeply about concepts

 Check for understanding and monitor and address

 misconceptions

Teach the following concepts: o Academic vocabulary – o Essential – square, perfect square, square root, area of a square, order of operations, parentheses, exponents o Supporting – exponent, base o Models for squaring and find the square root of a number (squaring as related to area; square roots as related to side length) o Following the order of operations to simplify an expression

What Students Do

 Use academic vocabulary and speak in ways that reflect understanding of essential questions

 Participate in activities that lend themselves to conceptual understanding, such as handson activities, group work, etc.

 Speak in a way that demonstrates conceptual understanding

 Demonstrate understanding of the following concepts: o Appropriately using academic vocabulary o Using models to determine squares and square roots o Finding the square and square root of a number o Using order of operations to simplify expressions

2011 - 2012

Student Work

Products/Assessment Evidence

Work Products:

 Posters, Foldables, etc.

 Journals/Interactive

Notebooks

Classwork

Homework

Assessments:

Short-Cycle Assessments

Performance Tasks

Teacher-created tests/quizzes

Enter/Exit slips

Teacher observation

© 2010 Austin Independent School District Course 7 th grade math Page 3 of 5 updated 4/12/2020 updated 5/4/10

Course: 7 th Grade Math Austin ISD Grading Period Snapshot (GPS)

Grading Period (1 st 6 weeks)

Focus TEKS Student Expectations

Big Idea/Concept – Rational Numbers

(Multiplying and Dividing Fractions and

Decimals)

7.2: The student adds, subtracts, multiplies, or divides to solve problems and justify solutions.

The student is expected to:

7.2A: represent multiplication and division situations involving fractions and decimals with models, including concrete objects,

pictures, words, and numbers. RC 1

7.2B: use addition, subtraction, multiplication, and division to solve

problems involving fractions and decimals.

RC 1

7.2F: select and use appropriate operations

to solve problems and justify the selections.

RC 1

7.2G: determine the reasonableness of a

solution to a problem. RC 1

7.13: The student applies Grade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:

7.13B: use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness DC

7.13C: select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem. DC

7.13D: select tools such as real objects, manipulatives, paper/pencil, and technology

What Teachers Do What Students Do

 Use academic vocabulary and embed essential questions throughout lessons

 Use a variety of teaching strategies to promote conceptual understanding and expect active engagement from all students

 Incorporate hands-on activities, group work, etc. into lessons

 Ask high level questions that encourage students to think deeply about concepts

 Check for understanding and monitor and address

 misconceptions

Teach the following concepts: o Academic vocabulary – o Essential – product, quotient, factors, dividend, divisor, grouping o Supporting – operation, sum, difference o Recognizing situations involving operations with fractions and decimals o Models for operations with fractions and decimals o Which operations to use in problem solving o Connecting models to algorithms for multiplying and dividing with fractions and decimals o How to justify solutions to problem situations

 Use academic vocabulary and speak in ways that reflect understanding of essential questions

 Participate in activities that lend themselves to conceptual understanding, such as handson activities, group work, etc.

 Speak in a way that demonstrates conceptual understanding

 Demonstrate understanding of the following concepts: o Appropriately using academic vocabulary o Model operations with fractions and decimals o Determine operations to use when presented with problem situations o Use operations to solve problem situations

(involving fractions and decimals) o Justify solutions to problem situations

2011 - 2012

Student Work

Products/Assessment Evidence

Work Products:

 Posters, Foldables, etc.

 Journals/Interactive

Notebooks

Classwork

Homework

Assessments:

Short-Cycle Assessments

Performance Tasks

Teacher-created tests/quizzes

Enter/Exit slips

Teacher observation

© 2010 Austin Independent School District Course 7 th grade math Page 4 of 5 updated 4/12/2020 updated 5/4/10

Course: 7 th Grade Math

Focus TEKS Student Expectations or techniques such as mental math, estimation, and number sense to solve problems. DC

Austin ISD Grading Period Snapshot (GPS)

Grading Period (1 st 6 weeks)

What Teachers Do What Students Do

2011 - 2012

Student Work

Products/Assessment Evidence

© 2010 Austin Independent School District Course 7 th grade math Page 5 of 5 updated 4/12/2020 updated 5/4/10

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