Jack picked 12 apples 15 pears and Jill picked 16 apples and some pears.
The ratio of apples to pears picked by Jack and Jill were the same. Solution Jack 12 15 1 15/12 Jill 16 16 x 15/12 = 20 Remark.
Also, many "good" high school students have difficulty in dealing with times (hours and minutes).
Look at the types of rate problems in a 'regular' (i.e.
This will include several problems, which are normally solved using Algebra; including five of the more difficult problems on the Maryland High School Assessment on Functions, Algebra, Data Analysis and Probability (MD Algebra) sample test, an about-to-be-implemented high school graduation requirement in MD.
The arithmetic solutions presented herein, provide more conceptual-understanding of the problems than the expected Algebraic solutions.
It is crucial check to that the calculations being done are the correct calculations.
One needs a reason why multiplying a line, in one of these tables, is a valid operation.
This report will present simple, conceptual-understanding based arithmetic methods that will allow students to solve a wide variety of problems.
These better methods of instruction are in the spirit of my version of KISS , that is "Keep It Simple for Students", while emphasizing conceptual-understanding.