LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
TAPS 1, 2
Content Area
Math
Grade/Course
8
Unit of Study
Unit 3 Geometric Applications of Exponents
Instructional Period
Week 11
Insert a standard(s) below (include code). HIGHLIGHT the SKILLS that students need to be able to do and
UNDERLINE the CONCEPTS that students need to know.
MCC8.G.6 Explain a proof of the Pythagorean Theorem and its converse
MCC8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and
mathematical problems in two and three dimensions.
MCC8 G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
List Behaviors
List Content
Determine DOK
(what students should be
able to do; focus on verbs)
(what students should know; focus on concepts)
(align to instruction and assessment)
Demonstrate,
identify, explain,
describe, apply, use,
solve
Concepts students should learn.
DOK Ceiling
4
****Taken From SLDS resources****
- Determine the relationship between
-
DOK Level
DOK Levels
2,3
the hypoteneuse and the legs of a right
triangle.
Apply the Pythagorean Theorem to
determine unknown side lengths in
right triangles.
Use deductive reasoning to prove the
Pythagorean Theorem and its converse
Apply Pythagorean theorem to find the
distance between two points in a
coordinate system.
Solve problems involving Pythagorean
theorem
Possible Aligned Activities and Questions
TAPS 2, 3, 4, 5
1
Identify the legs and the hypotenuse of a right triangle
2
Examine how to solve problems using Pythagorean Theorem.
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Resources
(on/offline)
Math Textbook,
Worksheetworks.com
Modeled on Whiteboard,
Student work
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans
LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
3
4
DOK Level
Compare and contrast right various properties for solving
complex problems
Relate properties of Pythagorean theorem with real life
scenarios.
Possible Aligned Assessment Items/Tasks
TAPS 2, 3, 4, 5
1
2
Students will demonstrate knowledge of right triangles by
identifying the legs and the hypotenuse.
Explain how the hypotenuse is related to the legs of a right
triangle by using equations.
3
Students will create problems utilizing Pythagorean theorem
4
Students will relate Pythagorean theorem in everyday
situations.
Determine various occupations that utilize Pythagorean
theorem
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Various Teacher resources
Resources
(on/offline)
Writing Across Curriculum,
Math textbook, Teacher
assessments
Outside resources
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans
LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
Standards (Primary)
DOK (Ceiling)
4
MCC8.G.6 Explain a proof of the Pythagorean Theorem and its converse
Integrated
MCC8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and
mathematical problems in two and three dimensions.
MCC8 G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
KNOW/UNDERSTAND
Essential Question/Enduring Understanding:
What is the relationship among the legths of the sides of a right
triangle?
TAPS 2, 3
How can Pythagorean Theorem be used to solve problems?
What is the correlation between Pythagorean Theorem and the distance
formula?
How can I use the Pythagorean Theorem to find the length of the
hypotenuse of a right triangle?
How do I know that I have a convincing argument to informally prove
Pythagorean theorem?
What is Pythagorean Theorem and when does it apply?
Enduring understanding
The Pythagorean Theorem can be used both algebraically and
geometrically to solve problems involving right triangles.
There is a relationship between the Pythagorean theorem and the distance
formula
Both the Pythagorean theorem and the distance formula can be used to find
missing side lengths in a coordinate plane and real world situations.
Pythagorean triples can be used to construct right triangles.
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans
LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
COMMON MISCONCEPTIONS FOR THE CURRENT
STANDARDS
****Taken From SLDS resources****
The students may not square the legs and the hypotenuse. Instead they may
multiply by two.
The students may confuse the Pythagorean theorem with the distance
formula.
Vocabulary- Tier 1
KNOWLEDGE & SKILLS
(Key Vocabulary)
Vocabulary Tier 2
Words using to teach
Tiers 2-3
Academic vocabulary
across content-areas
Demonstrate,
identify, explain,
describe
Distance formula,
Deductive reasoning
Geometric solid
Hypotenuse
Irrational
Leg of a triangle
Perfect square
Pythagorean Theorem
Pythagorean triple
Right triangle
Vocabulary Tier 3
Content-specific, domain-specific
.
Recognize, Compare,
Debate/Defend,
TAPS 2, 3, 5
Pre-assessment to Inform Instruction
Math week 9 Assessment
Unit 2 summative
Daily Formal assessments
Assessment for Learning or Assessment of Learning
Students will complete the attached assessments
TAPS 2, 3, 4
DO
Advanced
Content
Students will
interpret the
Pythagorean
theorem as a
statement about
areas of squares
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Process
Product
1. Guide students to
understanding how
to apply
Pythagorean
theorem to real life.
1. Students will relate
Pythagorean theorem to
everyday scenarios
2. Students will create
math problems using
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans
LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
on the sides of a
right triangle.
Explain how these
concepts will
relate in the job
market.
Pythagorean Theorem
Review Unit vocabulary
Review Unit 3
vocabulary
Ready
Recognize and
determine the
missing sides and
length line
segments of right
triangles using
Pythagorean
theorem
Guide Students on
how to compare
and contrast
Pythagorean
theorem with the
distance formula
1. Students will solve
problems with
Pythagorean theorem
and the distance
formula
Need
Prerequisites
Students need
to understand
the concept of
solving multistep equations
Practice Solving
problems with multi
step equations.
Solve basic problems
with Pythagorean
theorem
Introduce
vocabulary terms
for Unit 3
TAPS 2, 3, 5, 6, 8
AVID
Steps to Deliver the Lesson Using WICOR
Engage
(Hook, introduction to lesson
concepts)
®
1. Review perfect squares
2. Review right triangles
3. Review multi step equations
WICOR:
Explore/Explain
(teaching content all students need to
know, understand and be able to do
as determined by unpacked standard)
WICOR:
1. Solve geometric problems explaining the method of Pythagorean
Theorem.
2. Students will find the errors in their peers work, and explain how to
correct the mistakes.
3. 3. Students will Use P. A C. E. organizer. P- Problem, A – Answer, C –
Calculate, E - Explain
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans
LESSON PLANNING GUIDE
Conyers Middle School – 2014-2015
Enrich/Elaborate
(differentiation of process )
.
Students will solve problems with right triangles utilizing Pythagorean Theorem
by writing in their own words in a Writing Across Curriculum activity. Students
will also show diagrams for their writing.
WICOR:
Evaluation
(Formative assessment)
Students will evaluate and grade their peer’s work after they have created their
own problems. Students will complete assessment with Pythagorean theorem.
WICOR:
Resources
Math Workbook, Worksheetworks.com, studyisland.com, gameaquarium.com
Classroom Performance System (Clickers.) Learnzillion
Strategy 1: Create a rigorous system of teaching and learning
Specific Results: Institutionalize Cycle for Results
Action Steps: 1, 2, 3, 6
Performance Indicator: Teacher lesson plans