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This site is a collection of pages for Mr.
Manns' 7th and 8th grade students and their parents/guardians. There should be information about the
class, including rules, notes, homework assignments, study guides, etc.
You can connect to the corresponding class page with the links at the top and
bottom of the page.
This page contains:
Class Materials
Grading Information
Goals/Standards
These are things that should be brought to class everyday to
ensure that we will be able to proceed most efficiently.
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Notebook & Folder OR Binder w/
notebook paper & Folder
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Writing Utensils - Pencil or Pen (blue,
black, or dark purple; stay away from colors that are hard to read.)
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Calculator - All you NEED is a calculator
that will add, subtract, multiply, divide, and have a square root button...
(8th grade and AP students will also need 'sin', 'cos', and 'tan' buttons) any
functions after that is gravy.
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Textbook - Given in class
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Students will be graded from three categories:
Tests/Projects, Quizzes/Projects, Homework/Activities/Behavior
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Tests/Projects are worth 50% of the total grade
(all tests from the marking period averaged together)
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Quizzes/Projects are worth 35% of the total grade
(all quizzes from the marking period averaged together)
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Homework/Activities/Behavior are worth 15% of the
total grade (all homework from the marking period averaged together)
The table below represents the goals set by New York State
for 5th through 8th grade students in Mathematics.
At the end of the 8th grade students will take a state Mathematics test to
assess to gauge their understanding of these key ideas. This
information can also be found at the
New York
State Secondary Education Department website.
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New York State Learning Standard 3 - Mathematics |
| Key Ideas |
Performance Indicators |
| 1. Mathematical
Reasoning (top) |
Key Idea: Students use MATHEMATICAL REASONING to analyze
mathematical situations, make conjectures, gather evidence, and construct an
argument. |
• apply a variety of reasoning strategies
• make and evaluate conjectures and arguments using appropriate language
• make conclusions based on inductive reasoning
• justify conclusions involving simple and compound (i.e., and/or)
statements |
| 2. Number
Sense & Numeration (top) |
Key Idea: Students use NUMBER SENSE AND NUMERATION to
develop an understanding of multiple uses of numbers in the real world, use
of numbers to communicate mathematically, and use of numbers in the
development of mathematical ideas. |
• understand, represent, and use numbers in a variety of
equivalent forms (integer, fraction, decimal, percent, exponential, expanded
and scientific notation)
• understand and apply ratios, proportions, and percents through a wide
variety of hands-on explorations
• develop an understanding of numbered theory (primes, factors, and
multiples)
• recognize order relations for decimals, integers, and rational numbers |
| 3. Operations
& Relationships (top) |
Key Idea: Students use MATHEMATICAL OPERATIONS and
RELATIONSHIPS among them
to understand mathematics. |
• add, subtract, multiply, and divide fractions, decimals,
and integers
• explore and use the operations dealing with roots and powers
• use grouping symbols (parentheses) to clarify the intended order of
operations
• apply the associative, commutative, distributive, inverse, and identity
properties
• demonstrate an understanding of operational algorithms (procedures for
adding, subtracting, etc.)
• develop appropriate proficiency with facts and algorithms
• apply concepts of ratio and proportion to solve problems |
| 4.
Models & Multiple Representation (top) |
Key Idea: Students use MATHEMATICAL MODELING/MULTIPLE
REPRESENTATION to provide a means of presenting, interpreting,
communicating, and connecting mathematical information and relationships. |
• visualize, represent, and transform two- and
three-dimensional shapes
• use maps and scale drawings to represent real objects or places
• use the coordinate plane to explore geometric ideas
• represent numerical relationships in one- and two-dimensional graphs
• use variables to represent relationships
• use concrete materials and diagrams to describe the operation of real
world processes and systems
• develop and explore models that do and do not rely on chance
• investigate both two- and three-dimensional transformations
• use appropriate tools to construct and verify geometric relationships
• develop procedures for basic geometric constructions |
| 5. Measurement
(top) |
Key Idea: Students use MEASUREMENT in both metric and
English measure to provide a major link between the abstractions of
mathematics and the real world in order to describe and compare objects and
data. |
• estimate, make, and use measurements in real-world
situations
• select appropriate standard and nonstandard measurement units and tools to
measure to a desired degree of accuracy
• develop measurement skills and informally derive and apply formula in
direct measurement activities
• use statistical methods and measures of central tendencies to display,
describe, and compare data
• explore and produce graphic representations of data using calculators/
computers
• develop critical judgment for the reasonableness of measurement |
| 6. Uncertainty
(top) |
Key Idea: Students use IDEAS of UNCERTAINTY to illustrate
that mathematics involves more than exactness when dealing with everyday
situations. |
• use estimation to check the reasonableness of results
obtained by computation, algorithms, or the use of technology
• use estimation to solve problems for which exact answers are inappropriate
• estimate the probability of events
• use simulation techniques to estimate probabilities
• determine probabilities of independent and mutually exclusive events |
| 7. Patterns &
Functions (top) |
Key Idea: Students use PATTERNS and FUNCTIONS to develop
mathematical power, appreciate the true beauty of mathematics, and construct
generalizations that describe patterns simply and efficiently. |
• recognize, describe, and generalize a wide variety of
patterns and functions
• describe and represent patterns and functional relationships using tables,
charts and graphs, algebraic expressions, rules, and verbal descriptions
• develop methods to solve basic linear and quadratic equations
• develop an understanding of functions and functional relationships: that a
change in one quantity (variable) results in change in another
• verify results of substituting variables
• apply the concept of similarity in relevant situations
• use properties of polygons to classify them
• explore relationships involving points, lines, angles, and planes
• develop and apply the Pythagorean principle in the solution of problems
• explore and develop basic concepts of right triangle trigonometry
• use patterns and functions to represent and solve problems |
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