This secondary lesson plan template provides details for an 11th grade algebra 2 lesson on trigonometric functions and right triangles. The 44-minute lesson uses several activities and assessments to help students apply trigonometric functions to solve right triangle problems in theoretical and real-world contexts. Formative and summative assessments include whiteboard reviews, worksheets, and take-home quizzes to evaluate students' understanding of using trig functions to find side lengths and angles in right triangles. The lesson incorporates differentiation strategies such as graphic organizers and varying difficulty levels on assignments.
This is Rencana Pelaksanaan Pembelajaran (RPP) in English. This text tells about description of lesson plan for topic similarity and congruence. Happy reading!
This is Rencana Pelaksanaan Pembelajaran (RPP) in English. This text tells about description of lesson plan for topic similarity and congruence. Happy reading!
The student will demonstrate an understanding of algebra by solving linear equations with one variable. Also understanding expressions, equations, inequalities, linear and quadratic functions can be represented in multiple ways.
Running head Aligning standards and objectives1GC.docxhealdkathaleen
Running head: Aligning standards and objectives 1
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Aligning standards and objectives 10
Aligning standards and objectives
ELM-210
Vanessa Gonzalez
10.27.19
Part 1: Lesson Plan Analysis
What is the academic standard?
To utilize information gained from illustrations such as maps and photographs and the words in text to illustrate comprehension of the text. This entails identifying when, where and how major events occur.
· What is the learning objective?
At the end of the lesson students should be able to explain the importance of illustration in understanding a text. They should be able to utilize the pictures and words in the text to illustrate their comprehension of material with an accuracy of 80%.
· Are the standard and objective aligned? How do you know? Provide a rationale.
The standard and objective are entirely aligned. To determine whether standards and objective are aligned, one is supposed to determine to what level the learning objectives support and interact with the academic standards (Estes, 2015). The academic standards pay attention on utilization of illustrations to understand a text and the learning objectives support this because they focus on students being able to explain the importance of illustrations in comprehending a text.
· What is the lesson about? What does this lesson cover?
The lesson is about a medieval feast study. It focusses on reading information text. Students are supposed to utilize illustrations and words acquired from the Medieval Feast text to illustrated their understanding of the text.
· Do the assessments effectively measure the academic standard and learning objective? Justify your response.
The assessments adequately measure the academic standard and learning objective. Assessments adequately measure standards and objectives in case they are able to determine how well students have mastered what they were taught in the classroom (York, 2017). By completing a vocabulary activity, the instructor will be able to evaluate the results and determine how well the students mastered the concepts taught in class. By developing a list of vocabulary words and trying to determine their meanings, the instructor will be able to determine the areas students have understood and areas that he/she should teach.
Part 2
Section 1: Lesson Preparation
Teacher Candidate Name:
Grade Level:
Grade level 3
Date:
October 27th 2019.
Unit/Subject:
Perimeter.
Instructional Plan Title:
Mathematical problems involving perimeters.
Lesson Summary and Focus:
The lesson focuses on how to determine the perimeter of polygons. The polygons range from three sided figures to even 10 sided figures. Students will practice how to measure the length of each side of a polygon and adding the measurements to determine the perimeter of the figure.
National/State Learning Standards:
Solve actual world and ma ...
The student will demonstrate an understanding of algebra by solving linear equations with one variable. Also understanding expressions, equations, inequalities, linear and quadratic functions can be represented in multiple ways.
Running head Aligning standards and objectives1GC.docxhealdkathaleen
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Aligning standards and objectives 10
Aligning standards and objectives
ELM-210
Vanessa Gonzalez
10.27.19
Part 1: Lesson Plan Analysis
What is the academic standard?
To utilize information gained from illustrations such as maps and photographs and the words in text to illustrate comprehension of the text. This entails identifying when, where and how major events occur.
· What is the learning objective?
At the end of the lesson students should be able to explain the importance of illustration in understanding a text. They should be able to utilize the pictures and words in the text to illustrate their comprehension of material with an accuracy of 80%.
· Are the standard and objective aligned? How do you know? Provide a rationale.
The standard and objective are entirely aligned. To determine whether standards and objective are aligned, one is supposed to determine to what level the learning objectives support and interact with the academic standards (Estes, 2015). The academic standards pay attention on utilization of illustrations to understand a text and the learning objectives support this because they focus on students being able to explain the importance of illustrations in comprehending a text.
· What is the lesson about? What does this lesson cover?
The lesson is about a medieval feast study. It focusses on reading information text. Students are supposed to utilize illustrations and words acquired from the Medieval Feast text to illustrated their understanding of the text.
· Do the assessments effectively measure the academic standard and learning objective? Justify your response.
The assessments adequately measure the academic standard and learning objective. Assessments adequately measure standards and objectives in case they are able to determine how well students have mastered what they were taught in the classroom (York, 2017). By completing a vocabulary activity, the instructor will be able to evaluate the results and determine how well the students mastered the concepts taught in class. By developing a list of vocabulary words and trying to determine their meanings, the instructor will be able to determine the areas students have understood and areas that he/she should teach.
Part 2
Section 1: Lesson Preparation
Teacher Candidate Name:
Grade Level:
Grade level 3
Date:
October 27th 2019.
Unit/Subject:
Perimeter.
Instructional Plan Title:
Mathematical problems involving perimeters.
Lesson Summary and Focus:
The lesson focuses on how to determine the perimeter of polygons. The polygons range from three sided figures to even 10 sided figures. Students will practice how to measure the length of each side of a polygon and adding the measurements to determine the perimeter of the figure.
National/State Learning Standards:
Solve actual world and ma ...
Running head Problem Solving 2Problem Solvi.docxjeanettehully
Running head: Problem Solving 2
Problem Solving Lesson Plan
EXAMPLE
Grand Canyon University: ELM 5
November 13 2019
Section 1: Lesson Preparation
Teacher Candidate Name:
Darlene Judkins
Grade Level:
4th Grade
Date:
November 13, 2019
Unit/Subject:
Measurement
Instructional Plan Title:
Measurement: Area and Perimeter
Lesson Summary and Focus:
The lesson will focus on finding the area and perimeter of objectives in real life. The students will learn how to convert from inches, feet, and yards. The students will be creating a floor plan that includes at least for objects. The students will be finding the area and perimeter of the floor plan and the objects. The students will get the option to choose how they want to measure their floor plan.
Classroom and Student Factors/Grouping:
The students' desks will be set up in a horseshoe design. The horseshoe design allows the class to interact easier, encourages group discussion and participation, encourages interaction with the teacher, and larger areas to do presentations (Displays2go, 2019). The students with IEPs and above grade level can interact with their peers and skill get help one on one with the teacher. Comment by [email protected]: excellent
According to the class profile, there are six students above grade level include the social-emotional student. There are six students below grade level which include four IEP students. Four ELL students are at grade level.
The students will be mixed in with their peers; however, the IEP and ELL students will be seated next to a grade level or above student to be able to interact ask for help. At the beginning of the year, I will ask for volunteers to help the struggling students in class and do the seating chart accordingly.
National/State Learning Standards:
“CCSS.Math.Content.4.MD.A.1
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table (Common Core State Standards Initiative, 2019).” Comment by [email protected]: quotation mark is always after last word quoted and pg. needed when quoting
“CCSS.Math.Content.4.MD.A.3Apply the area and perimeter formulas for rectangles in real-world and mathematical problems (Common Core State Standards Initiative, 2019).”
Specific Learning Target(s)/Objectives:
· Given a problem in feet, students will be able to solve the problem in inches.
· Given the formal, students will be able to solve the area or perimeter.
· Give a problem in yards, students will be able to solve the problem in feet.
· Given a problem in inches, students will be able to solve the problem in feet.
Academic Language
· Tape measure
· Rule
· Area
· Perimeter
· Square foot
· Feet
· Inches
· Yard
· Measure
· Design
· Height
· Width
· Formula
· Yardsticks
· Floor plan
The students will receive a worksheet wi ...
Standard A: Plans Curriculum and InstructionDiane Silveira
This document provides five lesson plans that were part of a unit on geometry that I planned and taught. There is also a reflective essay about my experience planning curriculum.
This document provides a flipped lesson plan created for a third grade class on the topic of area. The lesson plan includes the following objectives
• Find the area of a rectangle by counting tiles
• Apply multiplication equations to solve the area of a rectangle
• Explain in numbers, words, or sketches how they found the area of a rectangle
This lesson includes alignment of common core standards, materials (including on-line sites for support), discussion questions, activities, and assessments.
The Book of Joshua is the sixth book in the Hebrew Bible and the Old Testament, and is the first book of the Deuteronomistic history, the story of Israel from the conquest of Canaan to the Babylonian exile.
Exploring the Mindfulness Understanding Its Benefits.pptxMartaLoveguard
Slide 1: Title: Exploring the Mindfulness: Understanding Its Benefits
Slide 2: Introduction to Mindfulness
Mindfulness, defined as the conscious, non-judgmental observation of the present moment, has deep roots in Buddhist meditation practice but has gained significant popularity in the Western world in recent years. In today's society, filled with distractions and constant stimuli, mindfulness offers a valuable tool for regaining inner peace and reconnecting with our true selves. By cultivating mindfulness, we can develop a heightened awareness of our thoughts, feelings, and surroundings, leading to a greater sense of clarity and presence in our daily lives.
Slide 3: Benefits of Mindfulness for Mental Well-being
Practicing mindfulness can help reduce stress and anxiety levels, improving overall quality of life.
Mindfulness increases awareness of our emotions and teaches us to manage them better, leading to improved mood.
Regular mindfulness practice can improve our ability to concentrate and focus our attention on the present moment.
Slide 4: Benefits of Mindfulness for Physical Health
Research has shown that practicing mindfulness can contribute to lowering blood pressure, which is beneficial for heart health.
Regular meditation and mindfulness practice can strengthen the immune system, aiding the body in fighting infections.
Mindfulness may help reduce the risk of chronic diseases such as type 2 diabetes and obesity by reducing stress and improving overall lifestyle habits.
Slide 5: Impact of Mindfulness on Relationships
Mindfulness can help us better understand others and improve communication, leading to healthier relationships.
By focusing on the present moment and being fully attentive, mindfulness helps build stronger and more authentic connections with others.
Mindfulness teaches us how to be present for others in difficult times, leading to increased compassion and understanding.
Slide 6: Mindfulness Techniques and Practices
Focusing on the breath and mindful breathing can be a simple way to enter a state of mindfulness.
Body scan meditation involves focusing on different parts of the body, paying attention to any sensations and feelings.
Practicing mindful walking and eating involves consciously focusing on each step or bite, with full attention to sensory experiences.
Slide 7: Incorporating Mindfulness into Daily Life
You can practice mindfulness in everyday activities such as washing dishes or taking a walk in the park.
Adding mindfulness practice to daily routines can help increase awareness and presence.
Mindfulness helps us become more aware of our needs and better manage our time, leading to balance and harmony in life.
Slide 8: Summary: Embracing Mindfulness for Full Living
Mindfulness can bring numerous benefits for physical and mental health.
Regular mindfulness practice can help achieve a fuller and more satisfying life.
Mindfulness has the power to change our perspective and way of perceiving the world, leading to deeper se
In Jude 17-23 Jude shifts from piling up examples of false teachers from the Old Testament to a series of practical exhortations that flow from apostolic instruction. He preserves for us what may well have been part of the apostolic catechism for the first generation of Christ-followers. In these instructions Jude exhorts the believer to deal with 3 different groups of people: scoffers who are "devoid of the Spirit", believers who have come under the influence of scoffers and believers who are so entrenched in false teaching that they need rescue and pose some real spiritual risk for the rescuer. In all of this Jude emphasizes Jesus' call to rescue straying sheep, leaving the 99 safely behind and pursuing the 1.
Discover various methods for clearing negative entities from your space and spirit, including energy clearing techniques, spiritual rituals, and professional assistance. Gain practical knowledge on how to implement these techniques to restore peace and harmony. For more information visit here: https://www.reikihealingdistance.com/negative-entity-removal/
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Why is this So? ~ Do Seek to KNOW (English & Chinese).pptxOH TEIK BIN
A PowerPoint Presentation based on the Dhamma teaching of Kamma-Vipaka (Intentional Actions-Ripening Effects).
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The Good News, newsletter for June 2024 is hereNoHo FUMC
Our monthly newsletter is available to read online. We hope you will join us each Sunday in person for our worship service. Make sure to subscribe and follow us on YouTube and social media.
2 Peter 3: Because some scriptures are hard to understand and some will force them to say things God never intended, Peter warns us to take care.
https://youtu.be/nV4kGHFsEHw
1. Secondary Lesson Plan Template
Lesson Duration: 44 mins Lesson Number: 3 of 3
Subject / Content area: Algebra 2 Grade Level: 11th
grade
Learning Segment: Trigonometric Functions and Right Triangles
Lesson Title: The Six Trigonometric Functions
Central Focus for the Learning Segment:
Students will be able to apply trigonometric functions to find side lengths and angle measures of
right triangles in theoretical and world problems.
Content Standard(s) (List the number and text of the standard. If only a portion of a standard is
being addressed, then only list the relevant part[s].):
CCSS.MATH.CONTENT.HSG.SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
CCSS.MATH.CONTENT.HSF.TF.B.7
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate
the solutions using technology, and interpret them in terms of the context.*
CCSS.MATH.PRACTICE.MP6 - Attend to precision.
Mathematically proficient students try to communicate precisely to others. They try to use clear
definitions in discussion with others and in their own reasoning. They state the meaning of the
symbols they choose, including using the equal sign consistently and appropriately.
Learning Objectives associated with the content standards:
Students will be able to:
1. Use the definition of angles of elevation/depression to solve right triangle problems
2. Construct and integrate several different strategies to solve a mathematical word problem
using trigonometric functions and right triangles.
3. Explain how to find and use the different trigonometric functions for right triangle problems
Student Assessments (Assessments should vary in kind and purpose):
Assessments:
Students ability to use the definition of angles of elevation/depression to solve right triangle
problems will be assessed by:
Whiteboard Review: This will serve as a formative assessment during class.
Balaam’s Donkey: This will serve as a summative assessment
Analyze the Error: This will serve as an informal assessment
To Be Continued: This will serve as a summative assessment
Students ability to construct and integrate several different strategies to solve a mathematical word
problem using trigonometric functions and right triangles will be assessed by:
Whiteboard Review
Balaam’s Donkey
To Be Continued
Students ability to explain how to find and use the different trigonometric functions for a right triangle
problems will be assessed by:
Whiteboard Review
Animation Investigation
Analyze the Error
To Be Continued
Modifications to the Assessments:
Student groups will intentionally be given Animation Investigation problems of varying difficulty.
Instructional Resources and Materials to engage all learners:
Pens & pencils, worksheet/graphic organizer, document camera, Smartboard, paper, SMART
Notebook and board, masking tape, notecards
Student Cultural Background and Experience (including those outside of school)
Considerations (Identify how knowledge of students informed instructional planning):
2. Differentiation and Planned Universal Supports (Supports are listed below and described in the
Planning Commentary. Supports given with specific attention to groups within the class and
individuals[IEPs, 504s, ELL, achievement gaps, gifted/talented] i.e. Whole class, groups within the
class, specific needs of individuals):
Before Learning Whiteboard Review
During Learning Angles of Elevation/Depression graphic organizer,
Balaam’s Donkey worksheet
After Learning Analyze the Error worksheet
To Be Continued take home quiz
Academic Language (Specifically address how these language demands and supports are used in
respect to the language function):
Language Function:
The language function is “explain.” Students will be able to explain how to find and use the different
trigonometric functions for a right triangle” (Learning Objective 2)
Language Demands of the Lesson (vocabulary, syntax, discourse) :
o The vocabulary terms that are review consist of: hypotenuse, right triangle, vertex, and the
Pythagorean Theorem.
The vocabulary terms that are unfamiliar to students are sine, cosine, tangent, cotangent,
cosecant, and secant.
The vocabulary terms that may have been encountered by students before but need review
are opposite side to angle theta and adjacent side to angle theta.
In addition, the symbols associated with the language function are: θ representing the
unknown measure of an acute angle in the right triangle.
o The syntax demand of this language function would be how the students describe the
Pythagorean Theorem. This includes the organization of the symbols and abbreviation that
represent each of the sides of the triangle, and how they relate to one another.
o The discourse demand of this language function would be how the students represent the
different trigonometric functions and sides of a right triangle. This could include labeling the
opposite and adjacent sides of triangle with respect to angle θ. It could also include the form
of an equation with trigonometric function, written like sin θ =
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
. With an equation such
this, the opposite and adjacent sides could also be abbreviated as opp and adj, or simply O
and A respectively. Another discourse demand of this language function would be how the
students represent the Pythagorean Theorem. This could be in the form of an equation
a2
+b2
=c2
or by labeling the sides and hypotenuse of a right triangle.
Language Supports
The following will support students in meeting the academic language demands of the lesson and
accomplish the language function:
o Angles of Elevation/Depression
o Balaam’s Donkey
Instructional Procedure: (These must connect to the central focus of the learning segment and
learning objectives while meeting the needs of students):
Prior Knowledge Activation:
Whiteboard Review (5 mins)
1. Walk through a warm-up problem as a class.
2. It will involve using the inverse trig. function
3. After the class has walked through it, instruct them to take out their basketball worksheets
from yesterday
Learning Task(s)/Learning Activity(ies):
Angles of Elevation/Depression (10 mins)
1. Instruct students to turn their handout to the back side
3. 2. Tell students we want to define the terms angle of elevation and angle of depression
3. Tell students to think of words that remind them of elevation and depressions
4. Define it mathematically as a class, and then find one of the angles of elevation/depression
in the problem
5. Then have students work on the bottom half of the page for a couple of minutes
6. Circulate throughout the room to make sure students are understanding the material.
7. If all groups are understanding, then go on to the next activity
8. If a third or more of students are confused, stop the class and walk through the questions
together
Balaam’s Donkey – Trig. Problem (20-25 mins)
1. Explain that we will be bringing together everything we’ve learned this week
2. Hand each student the first worksheet with the account of Balaam and the map
3. Pick a volunteer to be Balaam and another volunteer to be the angel.
4. There will be tape on the floor marking Balaam’s travel route.
5. Explain that our goal is to figure out the distance from the angel to Balaam’s starting point
6. Have students take turns reading the story of Balaam on their sheet.
7. While the students are reading aloud the story, walk the Balaam volunteer along the travel
route.
8. Then tell student there are notecards on their desks that corresponds to measurements in
the story
9. They need to figure out where to put the measurements on our larger version of the travel
route on the classroom floor.
10. Then have them fill out their corresponding individual travel routes with the info. From the
floor
11. If students have made an error in placing the measurements on the map, bring the class
together and tell them that # of measurements are misplaced. Can you spot the incorrect
angle or side measure?
12. Next hand students a worksheet of question that correspond to the activity.
13. Tell them they must complete these in their groups and hand for a grade
14. Circulate throughout the room to make sure students are understanding the concepts
15. If there is a major misconception/error, bring the class together and address it
16. Also, if there are any really good student questions/insights, bring the class together and
have the student explain her/his question or insight to the class
17. Talk through the answers as a class. Make sure to have students explain their reasoning
using the vocabulary words
18. If students have not completed the activity before the last 5 minutes of class, they will have to
complete the rest for homework.
19. If students complete the activity early, ask them to explain their reasoning on the last
question. Then let them begin the Homework Quiz
Closure to Lesson:
Analyze the Error (5 mins)
1. Hand each student a half-sheet for this activity
To Be Continued
1. Give each student a To Be Continued Worksheet
2. This will be there homework for the weekend to be finished by Monday
Relevant Theories and/or Research Best Practices: (Identify how these theories and research
served as a foundation for instructional choices within your lesson)
(Dickmann and Stanford-Blair 2009); (Marzano 2009); (Zweirs 2014); (Tsuei 2012), (Posamentier,
Germain-Williams, Jaye 2013); (Smith and Stein 2011); (Boaler 2012); (Boaler 2015).
4. Trigonometry & Balaam’s Donkey - Numbers 22:21-29
(Queen Hahn’s Math International Version)
A. “Balaam got up in the morning, saddled his donkey and went with the Moabite officials. But God
was very angry when he went, and the angel of the LORD stood directly north of Balaam in the road
to oppose him.
B. Balaam was riding on his donkey... When the donkey and Balaam travelled 40 feet north, the
donkey saw the angel of the LORD standing in the road with a drawn sword in his hand…
C. The donkey turned off the road going 90 ft. northeast into a field.
D. Balaam beat it to get it back on the road…and they moved directly west 62 ft. back towards the
road.
E. As soon as they were back in the road, the donkey saw the angel of the LORD. It took off Northwest
at a 67 o
angle of elevation and then ran into a wall, crushing Balaam’s foot against it.
F. So Balaam beat the donkey again and it travelled 35 ft. back into the road.
G. Then the angel of the LORD stood in a narrow place due north and Balaam and the
donkey travelled north 70 ft. towards it.
H. When the donkey saw the angel of the LORD again, it lay down under Balaam, and
he was angry and beat it with his staff. The donkey was 15 ft. away from the
angel.
(G.)Balaam’s journey ended here
(A.)Balaam’sjourney started here
5.
6. Balaam’s Donkey
Goal: By the end of this activity, we will answer…
HOW FAR AWAY WAS THE ANGLE FROM BALAAM WHEN HE STARTED HIS JOURNEY?
1. Look back in the story. Circle all degree measurements given, and underline all distance measurements given.
2. Label the given measurements from Balaam’s route on the attached page. (Hint: See the floor for help)
Parts A-D
3. What is the definition of an angle of elevation? (in your own words or from worksheet yesterday)
4. What type of angle is angle Ѳ ? Angle of ________________
5. Which trig. function can we use to solve for angle theta Ѳ with the info. given? ___________ or
___________
6. Solve for angle Ѳ below. (Show at least one thinking step)
7. How did we solve for angle Ѳ ? By using an _________________ trigonometric function
8. Solve for distance X below to the nearest foot (Show at least one thinking step)
9. Did you use angle Ѳ when solving for distance X? ____
10. How did you solve for distance X ? (Explain using vocab words: hypotenuse, opposite, adjacent, angle Ѳ)
7. Parts E-H
11. How can we find angle Beta β?
12. What is the measure of angle beta β ? _________
13. Which trig. function can we use to solve for distance Y with the info. given? ___________ or
_______________
14. Below solve for angle the distance Y to the nearest foot.
(Show at thinking step)
GOAL: HOW FAR AWAY WAS THE ANGLE FROM BALAAM WHEN HE STARTED HIS JOURNEY?
15. How did you find that distance?