Semester 2 Units

Linear Relations

Video #1

This video is a great visual representation on graphing linear relations. In this short tutorial it explains the basic formula (y = mx + b) and explains how to graph the linear relation. It goes through each variable and explains what they represent. This video also goes into detail when explaining the slope, which is good considering the significance of the slope when graphing. This video shows a few examples on graphing linear relations, he talks about the importance of the negative and positive rise/run. He explains how when both the numerator and denominator are negative or positive, its the same slope. Also he explains how when one is negative and the other is positive it will be the same slope even if the negative swapped places with the positive.

Strengths:

  • gives more than one example
  • uses a nice and clean graph
  • highlights things with the same color for good organization

Weaknesses:

  • audio isn’t the best quality
  • only goes over one way of graphing (Slope-intercept Form)

Video #2

This video gives information on finding values through formulas and charts. This video uses a T-chart to put down data which can make finding the formula easier. It shows how to take the information from the chart and move it onto a graph, also it labels each axis which is important. After graphing the points they show that it is a linear line, they also find more information about the data. They think of a formula to support this sequence afterwards.

Strengths:

  • gives more than one example
  • uses a chart to list data
  • uses graph and labels both axis
  • finds formula

Weaknesses:

  • talks about increase instead of common difference

Linear Equations + Inequalities 

Video #1

This video is a very simple and basic tutorial and doesn’t go into too much detail, but covers important beginner knowledge VERY well. This video begins by explaining what an inequality is and how it is different to equations. Following that, he shows the 4 types of inequalities. After getting to know the basic symbols he showed us many examples and went step by step to find the answer. Also he used real life examples which can help help us in the future. He finishes off with the examples and shows us how to graph the inequalities. He goes through all the terminology needed in order to understand and draw the graphs. He goes back to all the examples and draws a number line for each one with great explanation throughout.

Strengths:

  • great explanation throughout entire video
  • shows difference between inequality and equal
  • shows many examples
  • goes over the number line
  • shows all symbols needed

Weaknesses:

  • doesn’t go into advanced questions (intentional, this video is meant for beginners)
  • doesn’t show how to check (boundary point, inequality check)

Video #2

This video shows how to solve linear equations. He shows us how to isolate the variable using 2 different methods: dividing it by the coefficient or multiplying by the reciprocal. There were 2 examples that he used, both were solved by multiplying the coefficient with the reciprocal. After solving each problem he checks the answer by filling in the value of x where x was in the equation. After filling in x, he solved the equation and got the same values on both sides

Strengths:

  • more than one example
  • checks his answers
  • shows two ways of solving

Weaknesses:

  • doesn’t talk about terminology
  • problems were to basic

Scale Factor + Similarities 

Video #1

This video is explaining scale factors and begins by defining what a scale factor is. Afterwards it explains how there are two ways to scale something: enlargement and reduction, he talks about each one and demonstrates. He goes through two fairly easy examples and moves onto a more difficult question. Since the units to measure the images were different he had to convert them into the same unit in order to solve the question. His last question was to help you understand how to draw an enlargement or reduction by multiplying with the scale factor.

Strengths:

  • many examples
  • formula for finding the scale factor
  • drawing enlargements and reductions
  • converting units

Weaknesses:

  • doesn’t go over all techniques on how to draw scale diagrams

Video #2

This video talks about similarities, mainly through triangles. He defines the meaning of similar and explains how 2 shapes are similar. Then he draws out two similar triangles and talks a little bit about the angles in a triangle. He also talked about the having proportional corresponding sides which also tell you whether or not two shapes are similar. He uses the triangles he drew previously to show how to tell if the sides are proportional through a special formula. He begins to explain how you can find similar triangles with parallel line involved but had to stop the video because of the time.

Strengths:

  • criteria for similar figures
  • some triangle properties
  • how to find proportional sides

Weaknesses:

  • didn’t finish in one video
  • didn’t talk about other shapes

Most Useful to Least Useful Videos

Criteria

  • amount of important information/if the video covered enough about the unit
  • unnecessary facts
  • well recorded
  • good images/drawings to represent questions
  • formulas/explanations
  • entertaining (bonus)
  1. Linear Equations + Inequalities #1
  2. Linear Relations #2
  3. Linear Relations #1
  4. Scale Factor + Similarities #1
  5. Linear Equations + Inequalities #2
  6. Scale Factor + Similarities #2

 

Leave a Reply

Your email address will not be published. Required fields are marked *