Estimation and Computation
Strageties & Procedures for Estimation (Section 3.2)
Vocabulary:
Computational Estimation: Is a prcoess for finding a number of reasonably close to the exact answer for calculatio.
Techniques:
1. Estimating a Quainty: Finding how many students, dauys lunches, classes, and so on
Estimating a meausre: Finding how much length, area, volume, and so on.
Estimating Answer: Finding a sum, difference, product, or quotient.
Computational Estimation (Another one for above)
Rounding: Is based on locating the point halfway between consecutive multiples of 10, 100, 1000, and so on.
Examples: a.)16,942-7,540=9400
Substitute compatible numbers technique: involves replacing some or all of the numnbers in a computation with number that are easy to compute mentally.
Helpful video to get kids into this section.
Front-end Estimation
Helpful video, idea on maybe the kids each pick a problem and explain it to the class as if they were the teacher!
Clustering
Clustering technique: involves looking for the number about which the addends cluster and then multiplying by the number of addends.
Algorithms for Addition and Subtraction (Section 3.3)
Base Ten Blocks
Expanded Algorithim for Addition
Video perfect for learning tens, ones, and hundreds. Good for young ages. BEGINNER.
The order in which the number with a given place value are added doesn't matter because all partial sums are recorded.
Standard Algorithm for Addition: There are ten or more ones , we regroup 10 ones as 1 ten and then add the tens.
Algorithms for Multiplication and Division Section (3.4)
Lattice Multiplication
A visual way of multiplying in a pattern. Would work well with visual learners.