Sam completed writing the 1st draft of her narrative career essay: intro (thesis), body, conclusion. She researched the topic and cited MLA to explore the responsibilities, skills, degree required, and income of her chosen career path.
Outline the first rule in determining the length of the legs or hypotenuse in a 30-6-90 right triangle.
The leg opposite the 30deg. angle is S, the hypotenuse is 2S, and the leg opposite the 60 deg. angle is Sxsquare root of 3. Three problems were given to solve. In #1, the leg opposite the 30deg angle was given and the hypotenuse and second leg measure calculated. In the second problem, the hypotenuse is given and the 2 legs calculated. In the third problem, the segment opposite the 60 deg angle was given and the hypotenuse and 2 legs calculated.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
The first 2 problems were pretty straight forward and Sam calculated quickly. The third problem involved much higher algebraic calculations, and after a short reviewing for Sam, she was able to complete the calculations easily
Matrix Multiplication and Transformations with Matrices
Lesson Outline
Sam reviewed how to multiply matrices. She discovered that Matrix Multiplication is not commutative. She learned that multiplying by the Identity Matrix keeps the Identity of the Matrix. We looked at how to place the vertices of a polygon in a matrix. Such a matrix will always have 2 rows - the first row is the x-coordinate of a point, the second row is the y-coordinate. There are four different matrices, each containing zeros, 1, and -1, that we can use to multiply by a matrix and produce a transformation. These transformations are reflections across the x-axis, y-axis, y=x, or y=-x. Samantha worked through several examples of each type of matrix operation.
Using the Pythagorean theory, a number of problems were worked on which involved finding a leg or hypotenuse of a triangle. A more difficult problem was presented in which the right triangle had to be constructed from other information before the problem could be solved. Some special right triangles were introduced, along with terms like similar, equilateral, and congruent. Examples of each was presented along with the line, triangle, and angle methods of designation. A method of solving a 30-60-90 triangle by using a formula derived from the pythagorean theory was presented and solved
Session Minutes
120
Minutes Student Attended
90
Lesson Comments
Once presented with the theory, Sam could handle the math easily
Vocabulary (Discuss plans, sequence events, talk about places and people you know) Strategy Listening (specific information)
Lesson Outline
Today, Sam and I reviewed new vocabulary. Sam read aloud. I gave Sam several examples and contexts of how to use vocabulary in order to communicate. We read a conversation between Diana, Ignacio and Roberto. Great practice to build listening skills... Listening for specific information is like scannig when reading. Sam was able to take notes about the reading. After reading Sam was able to answer comprehension questions (tell what is true or false and why/tell who speaks/ tell what they do) in reference to the conversation. Sam ordered Diana's activities (Alquila un video, prapara el almuerzo, hace la tarea, cuida a su hermano, va de compras) I explained a language note to Sam: There are many ways to talk about a good friend( un buen amigo) here are some examples: Colega/Spain, Cuadro/Colombia, Cuate/Mexico, Pana/Puerto Rico-Ecuador-Some countries in Latin America, Pata/Peru, Vale/Venezuela. Then we spoke about "Hermanita". Ignacion uses this word when talking about Diana (textbook conversation). The ending- ITO/ITA adds meaning to a word. It can refer to something very small or express a special relationship.Then Sam used several words to express feelings like (Alegre, deprimido, preocupado, contento, triste, emocionado, cansado and more. Completing a sentence with the right word (textbook pages 178,179,180,181,182,195)...
Review calculations used determine % of a number, converting percentage to decimals. Review formulas to find the circumference of a circle and the area. Show the derivation of the Pythagoras theorem, and work 2-3 examples to reinforce the calculations. Work examples to determine the area of a circle given the radius and the circumference of the circle given the radius. Work examples which can solve for any of the sides of the right triangle if 2 of the 3 sides are given
