Standard three-Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability and trigonometry.

Standard four- Students will understand and apply scientific concepts, principles and theories pertaining to the physical setting and living environment and recognize historical ideas in science.

Standard five- Students will apply technological knowledge and skills to design, construct, use and evaluate products and systems to satisfy human and environmental needs.

Standard six- Students will understand the relationships and common themes that connect mathematics, science and technology and apply the themes to these and other areas of learning. 

• Use algebraic and geometric representations to describe and compare data. 
• Apply algebraic and geometric concepts and skills to the solution of problems. 
• Use various means of representing and organizing observations and interpret the organized data. 
• Represent problem situations symbolically by using algebraic expressions, sequences, tree diagrams, geometric figures and graphs. 
• Choose appropriate representations to facilitate the solving of a problem. 
• Choose the appropriate tools for measurement. 
• Use trigonometry as a method to measure indirectly. 
• Apply proportions to scale drawings in order to compute indirect measurements. 
• Explain and predict different patterns of motion of objects. 
• Select appropriate tools, instruments and equipment and use them correctly to process materials, energy and information. 
• Find and use mathematical models that behave in the same manner as processes under investigation.

Performance standards (how you will know that they know--how good is good enough)

• Daily checks for understanding in the form of questions, quizzes and activities. 
• Accuracy and completeness of laboratory experiments. 
• Homework, problem solving and evaluation grade.

• Identify scalars and vectors in terms of direction.
• Graphically add, subtract and scalar multiply vectors to find the desired Resultant (or Equilibrant, in the case of vector forces).
• Represent forces and the three kinematical quantities of acceleration, velocity and displacement as scaled arrows, whose length is proportional to a magnitude and whose orientation is that of the given vector’s orientation.
• Compare and contrast the parallelogram method vs. the head-to-tail method of adding vectors.
• Resolve a given vector into components, pairs of components and finally two mutually perpendicular and independent component pair.
• Utilize the given equations for finding the scalar magnitudes of x- and y-component vectors.
• Utilize the given equations to find a vector from its x- and y-components.
• Discuss the effects the angle between two vectors has on their resultant.
• Discuss component force vectors in a pendulum, an inclined plane, a ladder, and a plane in flight.

• Satisfactory completion of the three laboratory experiments and exercises, attached.
• A passing grade on the evaluation, attached.
• Laboratory exercises to be graded on the accuracy and completion of all tables, diagrams, graphs and questions. Units and vector direction are stressed in these labs.
• Percentage of error between actual results and experimental results is the basis for accuracy in these labs.