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Decimals
Throughout Unit 3, students build a foundation of the
basic understandings of number and operation. Students
will convert between fractions, decimals and whole
numbers and have a great understanding of the
relationships between them. Students will primarily
focus on the operation of decimals while reinforcing the
operation of whole numbers. Students will use the
appropriate operation, write the equation they would
use, estimate the solution to test for reasonableness
and find the solution. Students should use the Stasny
Graphic Organizer and understand the relationship
between adding and subtracting whole numbers and
decimals as well as understanding the differences
between multiplying and dividing by whole numbers versus
decimals.
Problem Solving, language and communication, connections
within and outside mathematics, and formal and informal
reasoning underlie this unit. Students use these
processes together with technology and manipulative
materials to develop conceptual understanding and solve
problems as they do mathematics. Emphasis should be on
the problem solving strategies of Make an Organized
List, and Make a Table.
Critical Questions
- Why when you multiply a whole number by a decimal
less than one you get a smaller answer?
- Dividing by 2 is the same thing as multiplying by
what decimal? Why?
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Student Performance Expectations |
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Key
Information in the brackets that is not in bold (8.2A) is the
Texas Essential Knowledge and Skill (TEKS) that this objective
is aligned to.
Information in
the brackets that is in bold
(8.2.11B) (8.2.12A)
(11.2US10A)
is the specific Texas Assessment of Knowledge and Skills (TAKS-
test) objective this objective is aligned to.
Expectations |
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Convert between fractions, decimals, and whole numbers
(7.1B) |
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Use models to represent multiplication and division
situations involving decimals (7.2A) (T7) |
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Use addition, subtraction, multiplication and division to
solve problems involving decimals (including perimeter and
area) (7.2B) |
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Simplify numerical expressions involving order of operations
and exponents (7.2E) |
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Select and use appropriate operations to solve
problems and justify the selection (7.2F) |
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Determine the reasonableness of a solution to a problem
(7.2G) |
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Underlying processes and skills (7.13A-D) (7.14A-B)
(7.15A-B) |
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Unit 3 Assessment |