English

This programs shows how to measure the dimensions of common 3D objects. The calculations needed to obtain their surface areas and volumes are also illustrated. The solids featured are polygon-based prisms and pyramids, cones, cylinders and spheres. The recognizable objects used in this program vary from well-known snack containers to the pyramid of Cheops.

This programs shows how to measure the dimensions of common 3D objects. The calculations needed to obtain their surface areas and volumes are also illustrated. The solids featured are polygon-based prisms and pyramids, cones, cylinders and spheres. The recognizable objects used in this program vary from well-known snack containers to the pyramid of Cheops.

Algebra helps our engaging teenage hostess, as she calculates the amounts of recipe ingredients needed to cook for and then serve, a sizable party:
1. To avoid confusion, when we write a formula we leave out the multiplication sign “x”, and instead put the number, the constant, in front of the variable, which is “X” in this case.

Continuing on from Part 1, more formulas are induced from patterns, this time concerning the number of trays needed to serve varying slices of pastries, that are more complicated than those in the first part. We combine formulas by adding and subtracting like terms. We call this simplifying the expression.

--formulas for a parallelogram (square, rectangle, and rhombus)
--formulas for a trapezoid, triangle, and circle

--expressing a probability between certainty and impossible as the likelihood of an uncertain event occurring
--conducting and recording probability experiments using small and large number trials with replacement
--calculating the theoretical probability of a particular event occurring
--expressing probabilities as odds

--calculating the complement of an event (the probability of the event not occurring)
--the changing probabilities of each of three events occurring in a small number trial experiment without replacement
--representing all possible outcomes from multiple events with a tree diagram

--similar triangles
--finding an unknown height in a similar triangle
--tangent ratios of varying angles
--hypotenuse, adjacent, and opposite sides
--using a calculator to find the tangent ratio of any angle
--using tangent ratios to find an unknown adjacent or opposite side length

--tangent, sine and cosine ratios
--using a trigonometric ratio to calculate the lengths of the other sides of a right triangle when an angle and one side length are known
--using a trigonometric ratio to calculate an angle of a right triangle when two side lengths are known
--using the mnemonic acronym SOHCAHTOA

--ratios and equivalent ratios
--ratios expressed in fractions or preferably in whole numbers
--ratios of quantities
--calculating and comparing ratios of quantities
--importance of the order of ratio numbers
--ratios in scaled drawings
--equivalence of inches, feet and miles to centimeters, meters and kilometers

--the many uses of statistics
--gathering and organizing data for interpretation
--how to prepare and interpret a picture graph or pictogram, a vertical and a -horizontal bar graph, a broken line graph, a circle graph or pie chart, a frequency table, a stem and leaf plot, a frequency histogram, and a frequency polygon

--calculating mean, median, and mode averages and how each describe data
--the range of data
--the distribution of data by quartiles
--calculating mean, median, and mode averages within quartiles
--interquartile ranges
--box and whisker plots

--the five steps to problem solving: read and re-read the problem, identify important information, choose a strategy, solve, check the answer
--the six strategies to choose from: guessing and checking, using a simpler related problem, discovering patterns, drawing pictures and diagrams, making lists and charts, working backwards

--review of Part 1
--the discovering patterns strategy is used to solve a problem discovering patterns in number sequences.
--the making lists and charts strategy is used to solve a problem with disparate and incomplete information
--the drawing pictures and diagrams strategy is used to solve a problem about the number of poles needed to build a fence