Transcript The Unit Organizer - Math Team Wikispace

The
Teacher:
Course Organizer
Time:
This Course:
is
about
MATH 8
using basic principles of Algebra to analyze and represent both
proportional and non-proportional linear relationships and using
probability to describe data and make predictions.
Course Questions:
1.
2.
3.
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5.
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10.
11.
12.
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14.
15.
Why are different forms of numbers appropriate for different situations?
What operations would I use to solve problems and justify solutions?
How do I identify proportional and non-proportional linear relationships in problem
relationships?
What connections can you make among various representations of a numerical
relationship?
How would I use graphs, tables, and algebraic representations to make predictions
and solve problems?
How does transformational geometry develop spatial sense?
How do I use geometry to model and describe the physical world?
What procedures determine the measures of three-dimensional figures?
How does indirect measurement solve problems?
How does changes in dimensions affect linear, area, and volume measures?
Why would I apply concepts of theoretical and experimental probability to make
predictions?
What statistical procedures are used to describe data?
How will I evaluate predictions and conclusions based on statistical data?
How will I solve problems connected to everyday experiences, investigations in other
disciplines, and activities in and outside of school?
How would I communicate through informal and mathematical language,
representations, and models to make conjectures and verify conclusion?
Student:
Course Dates: 8/25/09-5/28/10
Course Standards:
Independent
Practice
3-5/week
10%
Lesson
Assessments
Every week
70%
Unit
Assessments
1-2 ever six
weeks
20%
Independent Practice is important for
skill/strategy practice of the day’s lesson
and previous lessons.
Lesson Assessments are a combination
of daily class work and weekly quizzes,
which provides the teacher with a
skills/strategy check of the students’
abilities and allows for remediation or
challenge if necessary.
Unit Assessments provide verification
and validation of the students’
skills/strategies learned in class.
Course Map
This Course:
Student:
MATH 8
includes
Community
Principles
Performance
Options
Learning Rituals
Course Organizer
Unit Organizer
Vocabulary
Notes/FRAME
Team/Partner
Character
Accountability
Relationships
Excellence
Homework
Class Work
Projects
Quizzes
Tests
Agenda
Objectives
Warm-Up
PBS
Critical Concepts
Order of Operations
Measurement
Statistics
Integers
Area
Coordinate Plane
Problem Solving
Volume
Graphing
Linear/Non-Linear
Surface Area
Logical Reasoning
Equations
Theoretical Probability Rational Numbers
Expressions
Experimental Probability
Statistics
Surface
Area
Learned in these
Units
Problem
Solving
Percents
Numerical
Reasoning
Volume
Pythagorean
Theorem
Patterns &
Relationships
Coordinate
Plane
Probability
Dimensional
Shapes
Foundations
Of Algebra
Rational
Number
Operations
Proportional
Reasoning
NAME
The Unit Organizer
4
BIGGER PICTURE
DATE
Math Tools for Success
2
LAST UNIT /Experience
Problem Solving
8
UNIT SCHEDULE
8/26
Plan for Problem for
Problem Solving
8/27
Look for a Pattern
5
NEXT UNIT /Experience
3
CURRENT
CURRENT
UNIT UNIT
1
Problem Solving/ Coordinate Plane
Numerical Reasoning
UNIT MAP
use
Solving MultiStep
Problems
use
8/28
Draw a Diagram
-Quiz
8/31
9/01
Logical Reasoning
Make a Model
using
Strategies
Vocabulary
Coordinate Plane
Tools
How would I use a problem-solving model to understand the problem, make a plan, carry out the
plan, and evaluate the solution for reasonableness?
What are the different types of problem-solving strategies and some tools I use to solve problems?
Why communicate mathematical ideas using language, efficient tools, appropriate units, and
graphical, numerical, physical, or algebraic mathematical models?
How would I evaluate the effectiveness of different representations, make conjectures from patterns
or sets of examples/non-examples, and validate my conclusions using mathematical properties and
relationships?
How would I locate and name points on a coordinate plane?
Proportional
Reasoning
Statistics
Patterns &
Relationships
Foundations of
Algebra
6
UNIT
7
Applications of Graphing
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
9/02
The Unit Organizer
9
NAME
DATE
Problem Solving/Coordinate Plane
Expanded Unit Map
Vocabulary
using
Solving multi-step
problems…
use
Strategies
such as
such as
using
Identify
Apply
Develop
Justify
Communicate
Evaluate
Conjecture
Validate
Tools
Mental Math
Draw a picture
or diagram
Look for a
Pattern
such as
Guess &
Check
Manipulatives
Act it out
Technology
Make a table/
list
Estimation
Pencil/Paper
Real Objects
NEW
UNIT
SELF-TEST
QUESTIONS
10


What are the tools and strategies I would use to solve multi-step word problems?
Why would some tools or strategies work better than others for certain word problems?
Simplify the
Problem
Work
Backwards
Eliminate
Possibilities
Find the
Sub-problem
Use Algebra
NAME
The Unit Organizer
4
BIGGER PICTURE
DATE
Math Tools for Success
2
LAST UNIT /Experience
Problem Solving
8
UNIT SCHEDULE
9/03
Integers
9/04
Absolute Value
9/08
Comparing Rational Numbers
9/09
9/10
Square Roots
9/18
9/21
Vocabulary
use
Order of Operations
use
use
use
Square Roots
Real Number System
Comparing Fractions,
Decimals, and Percents
Comparing Fractions,
Decimals, and Percents
Scientific Notation
Reasonableness/
Estimation
Comparing and
Ordering
Rational Numbers
-Unit 1 & 2 Assessment
How would I compare and order rational numbers?
Why approximate the value of irrational numbers?
How can I express numbers in scientific notation?
Proportional
Reasoning
Statistics
Patterns &
Relationships
Foundations of
Algebra
6
UNIT
7
Rational numbers
and their
operations…
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
9/22
UNIT MAP
Scientific Notation
9/14
9/17
Rational Numbers
Ordering Rational Numbers
Scientific Notation
-Quiz
9/16
Numerical Reasoning
use
9/11
9/15
5
NEXT UNIT /Experience
3
CURRENT
CURRENT
UNIT UNIT
1
The Unit Organizer
NAME
DATE
Numerical Reasoning
Expanded Unit Map
9
Vocabulary
Rational numbers
and their operations…
that use
such as
Equation
Expression
Rational
Irrational
Fraction
Decimal
Percent
Mixed Number
Integer
Interval
Scientific Notation
Exponent
Radicand
that use
Reasonableness/
Estimation
when
when
especially
in
Comparing &
Ordering
Order of Operations
which are
all
First, Parenthesis
Second, Exponents & Radicands
Third, Multiple & Divide from Left to Right
Fourth, Add & Subtract from Left to Right
Scientific
Notation
Fractions
Decimals
Percents
such as
Using exponents and powers of ten
NEW
UNIT
SELF-TEST
QUESTIONS
10
solving problems
and validating
answers
NAME
The Unit Organizer
4
BIGGER PICTURE
DATE
Math Tools for Success
2
LAST UNIT /Experience
1
Numerical Reasoning
8
UNIT SCHEDULE
9/25
Thinking w/Math Models
-Draw a Diagram
-Make a model
-Work Backwards
-Reasonable Answers
-Simpler Problems
9/28
Say it w/Symbols
-
9/23
to
5
3
CURRENT
CURRENT
UNIT UNIT
Rational Number Operations
NEXT UNIT /Experience
Proportional Reasoning
UNIT MAP
quantitative
reasoning
with numbers…
using
Vocabulary
with
9/29
9/30
Samples & Populations
using
Reasonableness/
Estimation
to
10/05
10/06
From wholes to parts
Rational Numbers
to
10/08
10/09
What is a rational number?
How can I justify or rationalize my answers?
Proportional
Reasoning
Statistics
Patterns &
Relationships
Foundations of
Algebra
6
UNIT
7
-Unit 3 Assessment
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
10/12
Making Math Arguments
The Unit Organizer
9
NAME
DATE
Rational Number Operations
Expanded Unit Map
Vocabulary
using
quantitative reasoning
with numbers…
use
Reasonableness/
Estimation
such as
such as
Equation
Expression
Rational
Irrational
Fraction
Decimal
Percent
Mixed Number
Integer
Interval
Scientific Notation
Exponent
Radicand
using
Rational
Numbers
such as
Natural
Numbers
Whole
Numbers
Integers
NEW
UNIT
SELF-TEST
QUESTIONS
10
solving problems
and validating/
justifying answers
The FRAME Routine
Key Topic
Rational Number Operations
is about…
Main idea
Main idea
Main idea
Essential details
So What? (What’s important to understand about this?)
The FRAME Routine
Main idea
Key Topic
Problem Solving
Main idea
is about…
Main idea
Essential details
So What? (What’s important to understand about this?)
The FRAME Routine
Main idea
Key Topic
Coordinate Plane
Main idea
is about…
Main idea
Essential details
So What? (What’s important to understand about this?)
The FRAME Routine
Main idea
Key Topic
Numerical Reasoning
Main idea
is about…
Main idea
Essential details
So What? (What’s important to understand about this?)