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