Benchmark Media

"The basis for modern day genetics was discovered in a 19th century Austrian monastery garden containing peas, and tended by a keenly observant monk named Gregor Mendel, who had training in mathematics and biology. Mendel cross-pollinated plants with 2 differing traits, a strain of homozygous wrinkled and yellow peas, with homozygous round and green peas, for two generations.

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.

As background, a brief history is presented of what new information caused the classification of living things to evolve from the original 2 Kingdom classification of Animals and Plants by Linnaeus in the 18th century to the present day 6 Kingdoms: Animal, Plant, Fungi, Protista, Eubacteria, and Archaebacteria.

The key concepts in Part 1 are briefly reviewed. Organisms in the Protista Kingdom are virtually all single-celled. Most are heterotrophic, some are autotrophic like algae, a few like euglena are both. Most reproduce asexually, but occasionally some also sexually which produces genetic variation and long term evolutionary benefits.

The astronomer Hubble laid the foundations of the Big Bang Theory of the universe in 1929 when he found that distant galaxies were receding from the earth. The theory holds that the origin of our universe was some 14 billion years ago in a cataclysmic explosion of radiant energy of unknown cause, which formed into atomic particles of hydrogen and helium.

Mitosis in plant and animal cells

Protista Kingdom, the amoeba, the paramecium

In the six kingdom classification, the Protista Kingdom contains all single celled organisms which are eukaryotic, meaning which have a nucleus. They are called protists.

Euglena is a protist whose behavior is both plant-like and animal-like (protozoan). Structures Like a mobile protozoan, its structures include a flexible outer membrane called a pellicle (not a plant-like rigid cell wall), and a flagellum for locomotion).

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