Glynn Middle School
LFS Weekly Lesson Plan
Teacher: Thomas,
Grade/Subject:
Johannsen, Ward,
8th / Math
Brown
GPS standards addressed in this topic:
Dates/Pace:
12-5-11
Unit Topic:
Functional Relationships
M8A3.d Recognize functions in a variety of representations and a variety of contexts; M8A3.e Use tables to
describe sequences recursively and with a formula in closed form; M8A3.f Understand and recognize arithmetic
sequences as linear functions with whole-number input values; M8A3.g Interpret the constant difference in an
arithmetic sequence as the slope of the associated linear function; M8A3.i Translate among verbal, tabular, graphic,
and algebraic representations of functions; M8A4.e Determine the equation of a line given a graph, numerical
information that defines the line, or a context involving a linear relationship; M8A4.f Solve problems involving
linear relationships; M8P1.c Apply and adapt a variety of appropriate strategies to solve problems; M8P3.a Organize
and consolidate their mathematical thinking through communication; M8P3.b Communicate their mathematical
thinking coherently and clearly to peers,, teachers, and others; M8P4.c Recognize and apply mathematics in contexts
outside of mathematics; M8P5.b Select, apply, and translate among mathematical representations to solve problems.
M8A1.b Simplify and evaluate algebraic expressions; M8A3.b Recognize a function as a correspondence between
inputs and outputs where, the output for each input must be unique; M8A3.c Distinguish between relations that are
functions and those that are not functions; M8P3.d Use the language of mathematics to express mathematical ideas precisely
; M8P5.a Create and use representations to organize, record, and communicate mathematical, ideas; M8P5.b Select, apply, and translate
among mathematical representations to solve problems. M8A1.b Simplify and evaluate algebraic expressions; M8A1.d Interpret
solutions in problem contexts;
M8A4.c Graph equations of the form y = mx + b; M8A4.e Determine the equation of a line given a graph, numerical information that
defines the
line, or a context involving a linear relationship; M8P1.b Solve problems that arise in mathematics and in other contexts; M8P2.d Select
and use various types of reasoning and methods of proof;
.
Glynn Middle School
LFS Weekly Lesson Plan
Monday
Essential Question
How can I show that
a direct variation is
linear?
Tuesday
Wednesday
How can I show that How do I determine
a direct variation is arithmetic sequences?
linear?
Thursday
Friday
How do I determine
arithmetic sequences?
Test:
Functions,
Sequences, and
Direct Variations.
Activating Strategy
(Some ideas: KWL, Pre-reading, Think Pair Share, Thinking Maps, Vocabulary Overview, Word Splash, Survey, Big Four)
Warm-Up: From the Warm-up: From the Warm-Up: From the
PowerPoint.
PowerPoint.
PowerPoint.
Warm-Up From the
PowerPoint.
Test:
Functions,
Sequences, and
Direct Variations
1.) Sequence- A list of
numbers set apart by
commas, such as 1, 3, 5,
7, . . .
1.) Sequence- A list of
numbers set apart by
commas, such as 1, 3, 5,
7, . . .
Test:
Functions,
Sequences, and
Direct Variations
2.) Term- Parts of an
expression or series
separated by + or – signs,
or the parts of a sequence
2.) Term- Parts of an
expression or series
separated by + or – signs,
or the parts of a sequence
Key Vocabulary to preview
1.) Direct Variation- A
relationship between two
variables in which one is
a constant multiple of the
other. In particular, when
one variable changes the
other changes in
proportion to the first.
1.) Direct Variation- A
relationship between two
variables in which one is
a constant multiple of the
other. In particular, when
one variable changes the
other changes in
proportion to the first.
Glynn Middle School
LFS Weekly Lesson Plan
If b is directly
proportional to a, the
equation is of the form b
= ka (where k is a
constant).
If b is directly
proportional to a, the
equation is of the form b
= ka (where k is a
constant).
2.) Constant of
Proportionality- A
constant ratio of two
variables related
proportionally.
2.) Constant of
Proportionality- A
constant ratio of two
variables related
proportionally.
separated by commas.
separated by commas.
3.) Arithmetic
Sequence- A sequence
such as 1, 5, 9, 13, 17 or
12, 7, 2, –3, –8, –13, –18
which has a constant
difference between
terms. The first term is
a1, the common
difference is d, and the
number of terms is n.
3.) Arithmetic
Sequence- A sequence
such as 1, 5, 9, 13, 17 or
12, 7, 2, –3, –8, –13, –18
which has a constant
difference between
terms. The first term is
a1, the common
difference is d, and the
number of terms is n.
4.) Common
Difference- The
difference between any
two successive terms in
an arithmetic sequence.
4.) Common
Difference- The
difference between any
two successive terms in
an arithmetic sequence.
Teaching Strategies: Instruction for each Assessment/List assessment
Holt: PowerPoint
12.5
Guided Instruction:
From Text:
Examples: 1, 2, and
3. p. 650-652.
Holt: PowerPoint
12.5
Guided Practice:
From Text: p.653.
Ex. 1-8.
Holt: PowerPoint 3.6
Holt: PowerPoint 3.6
Guided Practice:
Guided Instruction:
From Text: p.144. Ex.
From Text:
Examples: 1, 2, 3, and 1-15
4. P. 142-143
*Skills Bank: p. 847
(recursive formula.)
Test:
Functions,
Sequences, and
Direct Variations.
Glynn Middle School
LFS Weekly Lesson Plan
Work text. 12E:
Exploration. p. 397.
Independent Practice: *Skills Bank: p. 847
From Text: p. 653.
(recursive formula.)
Ex. 9-15.
Work text. 12E:
Practice. p. 398.
Work text. 3F:
Exploration. p.91.
Independent Practice:
From Text: p. 144.
Ex. 17-31
Work text. 3F
Practice. p. 95.
Graphic Organizer and/or Extended Thinking
1.) Step Chart
1.) Step Chart
1.) Step Chart
2.) KWL
2.) KWL
2.) KWL
1.) Step Chart
2.) KWL
Test:
Functions,
Sequences, and
Direct Variations
Summarizing Strategy
Stand and Deliver!
Stand and Deliver!
Stand and Deliver!
Stand and Deliver!
Test:
Functions,
Sequences, and
Direct Variations
Accommodations SPED, 504, SST
RtI: Differentiated
RtI: Differentiated
RtI: Differentiated
RtI: Differentiated
RtI: Differentiated
Instruction
Remedial Instruction
Instruction
Remedial Instruction
Instruction
Remedial Instruction
Instruction
Remedial Instruction
Instruction
Remedial Instruction
504: Small Group
504: Small Group
504: Small Group
504: Small Group
504: Small Group
Testing
Monitor Agenda
Use of Calculator
Testing
Monitor Agenda
Use of Calculator
Testing
Monitor Agenda
Use of Calculator
Testing
Monitor Agenda
Use of Calculator
Testing
Monitor Agenda
Use of Calculator
Glynn Middle School
LFS Weekly Lesson Plan
Extended Time
Frequent Monitored
Breaks
Preferential Seating
Small Group earning
Read Aloud
Extended Time
Frequent Monitored
Breaks
Preferential Seating
Small Group Learning
Extended Time
Frequent Monitored
Breaks
Preferential Seating
Small Group Learning
Extended Time
Frequent Monitored
Breaks
Preferential Seating
Small Group Learning
Extended Time
Frequent Monitored
Breaks
Preferential Seating
Small Group Learning
Read Aloud
Read Aloud
Read Aloud
Read Aloud