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Mathematics : Algebraic Simplification (Grouping)
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Mathematics: Algebraic Simplification:it involves combining like terms to make an expression simpler.
Like terms
Like terms are terms that have the same variable(s) with the same exponents.
Rules for simplifying Algebraic Expressions.
1. Combine like terms
2. Remove parentheses
3. Simplify numerical coefficients
Examples:
Simplify:
a. 2x + 3x
b. 2(x+3)
c. X2 + 2x2
Solutions
a. 2x +3x = 5x
b. 2(x+3) = 2x +6
c. X2 + 2x2 = 3x2.
Try these:
1. 3x + 2x - 4x
2. 2y2 + 5y2 - y2
3. X2 + 3x2 - 2x
4. 4z - 2z + z
SCIENCE
TOPIC: POLLUTION
Pollution is the introduction of harmful substances or contaminants into the environment, causing negative effects on the natural world, human health, and the economy.
TYPES OF POLLUTION
1. Air Pollution: The release of harmful substances into the atmosphere.
2. Water Pollution: The contamination of water bodies by rivers, lakes, and oceans.
3. Soil Pollution: The contamination of soil with harmful substances.
4. Noise Pollution: Excessive noise that can harm human.
5. Light Pollution: Excessive light that harm health.
CAUSES OF POLLUTION
1. Industrial activities
2. Vehicle emission
3. Agricultural activities
4. Waste management
5. Climate waste
EFFECTS OF POLLUTION
1.Environmental damages
2. Human health
3. Economic impact
4. Social impact
Try this:
1. Define pollution based on the given notes.
2. Highlight 4 types of pollution and explain one
TAKE HOME
1. Enumerate 3 causes of pollution
SUBJECT 3:
TOPIC: WAVE MOTION
Introduction
Wave motion is a means of transferring energy. In such a motion in a material medium, particles of the medium vibrate about their positions of equilibrium. The wave energy energy is carried forward but not the medium.
When we throw a stone into a pool of water, circular waves form and move outward. Waves will also travel along a cord or rope that is stretched out straight on a table if we vibrate one end back and forth. Water waves and waves on a cord, are two common examples of wave motion. In this notes we will concentrate on Mechanical waves-- waves that travel in a material medium.
All types of waves have as their source a vibration. Water waves for example move with a recognisable velocity, but each particle of the water itself merely oscillates about an equilibrium position. This is easily seen when we observe leaves on pond as waves pass by. The leaves are not carried forward by the waves, but simply move up and down about an equilibrium point because this is the motion of the water itself. This is a general feature of waves: waves can move over large distances but the medium (e.g. the water or the cord) itself has only a limited movement. A wave consists of oscillations that move without carrying matter with them. Such up-and-down movement or vibration or oscillation of the medium (e.g. water) which causes waves is an example of wave motion.
A wave motion is a process of transferring a disturbance (in form of kinetic energy) from one point to another in a medium without any transfer of particles of the medium.
A wave is a disturbance which travels through a medium transferring energy from one point to another without causing any permanent displacement of the medium.
TAKE HOME
Briefly explain the term waves with examples.
Mathematics: Algebraic Simplification:it involves combining like terms to make an expression simpler.
Like terms
Like terms are terms that have the same variable(s) with the same exponents.
Rules for simplifying Algebraic Expressions.
1. Combine like terms
2. Remove parentheses
3. Simplify numerical coefficients
Examples:
Simplify:
a. 2x + 3x
b. 2(x+3)
c. X2 + 2x2
Solutions
a. 2x +3x = 5x
b. 2(x+3) = 2x +6
c. X2 + 2x2 = 3x2.
Try these:
1. 3x + 2x - 4x
2. 2y2 + 5y2 - y2
3. X2 + 3x2 - 2x
4. 4z - 2z + z
SCIENCE
TOPIC: POLLUTION
Pollution is the introduction of harmful substances or contaminants into the environment, causing negative effects on the natural world, human health, and the economy.
TYPES OF POLLUTION
1. Air Pollution: The release of harmful substances into the atmosphere.
2. Water Pollution: The contamination of water bodies by rivers, lakes, and oceans.
3. Soil Pollution: The contamination of soil with harmful substances.
4. Noise Pollution: Excessive noise that can harm human.
5. Light Pollution: Excessive light that harm health.
CAUSES OF POLLUTION
1. Industrial activities
2. Vehicle emission
3. Agricultural activities
4. Waste management
5. Climate waste
EFFECTS OF POLLUTION
1.Environmental damages
2. Human health
3. Economic impact
4. Social impact
Try this:
1. Define pollution based on the given notes.
2. Highlight 4 types of pollution and explain one
TAKE HOME
1. Enumerate 3 causes of pollution
SUBJECT 3:
TOPIC: WAVE MOTION
Introduction
Wave motion is a means of transferring energy. In such a motion in a material medium, particles of the medium vibrate about their positions of equilibrium. The wave energy energy is carried forward but not the medium.
When we throw a stone into a pool of water, circular waves form and move outward. Waves will also travel along a cord or rope that is stretched out straight on a table if we vibrate one end back and forth. Water waves and waves on a cord, are two common examples of wave motion. In this notes we will concentrate on Mechanical waves-- waves that travel in a material medium.
All types of waves have as their source a vibration. Water waves for example move with a recognisable velocity, but each particle of the water itself merely oscillates about an equilibrium position. This is easily seen when we observe leaves on pond as waves pass by. The leaves are not carried forward by the waves, but simply move up and down about an equilibrium point because this is the motion of the water itself. This is a general feature of waves: waves can move over large distances but the medium (e.g. the water or the cord) itself has only a limited movement. A wave consists of oscillations that move without carrying matter with them. Such up-and-down movement or vibration or oscillation of the medium (e.g. water) which causes waves is an example of wave motion.
A wave motion is a process of transferring a disturbance (in form of kinetic energy) from one point to another in a medium without any transfer of particles of the medium.
A wave is a disturbance which travels through a medium transferring energy from one point to another without causing any permanent displacement of the medium.
TAKE HOME
Briefly explain the term waves with examples.
Extra information
Bring your laptop, textbooks, and writing materials.Location
At teacher's location: Lagos, Nigeria
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About MeAs a dedicated and passionate tutor, I help students achieve academic success and build confidence in [Mathematics, Physics and science ]. With [7] years of experience working with students of various ages and skill levels, I've developed a patient and encouraging approach that fosters a love for learning.
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- [7] years of tutoring experience in [Mathematics, Physics, English, Geography]
- Proven track record of improving students' academic performance
- Experience working with students of various ages and skill levels
Qualifications
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- Certified teacher/tutor with [IJMB/A'LEVEL]
- Specialized training in [Mathematics,Physics and Management ]
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I believe that every student learns differently, which is why I tailor my approach to meet the unique needs and learning style of each student. My teaching style is interactive, engaging, and supportive, with a focus on building confidence and encouraging critical thinking.
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I'm available for lessons [Mondays, Wednesdays, Fridays, Saturdays and Sundays]. Please feel free to contact me to schedule a lesson or discuss your tutoring needs.
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- Personalized tutoring sessions tailored to your needs and goals
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Education
Ecotes university/2.1/2018Ahmadu Bello university, A'LEVEL 5points/2016
Nigerian Institute of shipping/2.1/2013
JESILO HIGH SCHOOL/SSCE/2011
JESILO HIGH SCHOOL/JSCE/2008
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Experience:1. *Tutoring Experience*: [7] years of tutoring experience in [Mathematics,Sciences, Writing for all grades], with a proven track record of improving students' academic performance.
2. *Teaching Experience*: [7] years of teaching experience in [specific subjects or age groups], with experience in curriculum development, lesson planning, and classroom management.
3. *Mentorship Experience*: [6] years of experience mentoring students, providing guidance and support to help them achieve their academic and personal goals.
Qualifications:
1. *Academic Qualifications*: Bachelor's degree in [Management ], with a strong academic record and relevant coursework.
2. *Teaching Certifications*: Certified teacher/tutor with [IJMB/A'LEVEL ], demonstrating expertise in [Mathematics, Sciences].
3. *Specialized Training*: Completed specialized training programs in [relevant areas], such as special education, ESL, or test preparation.
Relevant Skills:
1. *Subject Matter Expertise*:
Strong knowledge and understanding of [Mathematics and Physics and other Sciences ], with ability to break down complex concepts into clear, concise language.
2. *Communication Skills*: Excellent communication and interpersonal skills, with ability to build rapport with students, parents, and
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from C$37.47At teacher's location
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from C$37.47At teacher's location
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
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