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MTH 211 Review for Test 2 3.2, 3.3, 4.1, 4.2, 5.1, 5.2
Winter 2016
Listed below are some of the major topics and terms that we have studied since the last exam in MTH 211. The list is not necessarily all-inclusive, but most of the “big ideas” and terms are there.
Commutative property of multiplication Associative property of multiplication
Repeated addition Rectangular array Partitive (sharing) division
Measurement division
Less than/Greater than Less than or equal/Greater than or equal
Adding and less than Multiplying and less than
Transitive Property Exponents
Front-end Estimation Round a 5 up Compatible Numbers
Range Estimation Round to a compatible number
Left-to-Right methods Standard addition algorithm
Lattice Addition Standard subtraction algorithm
Standard Multiplication algorithm Lattice Multiplication
Long division with base ten pieces
Standard division algorithm
Prime numbers Composite numbers Factor tree
Prime Factorization Divides Does not divide
Divisor Factor Is divisible by
Greatest Common Factor Euclidean Algorithm Least Common Multiple
▪ State, use and understand the distributive property of multiplication over both addition and subtraction.
▪ Understand the difference between set models and measurement models for basic arithmetic operations.
▪ For multiplication of whole numbers use “repeated addition” and “rectangular array,” with either the set model or the measurement model.
▪ When doing division of whole numbers, understand the difference between partitive (sharing) division and measurement division (measurement division is different than the measurement model.) Be able to write and identify word problems that are appropriate for each.
▪ Use the missing factor approach to division given a multiplication table (which probably will not be given in base ten.)
▪ Use repeated subtraction to solve a division problem.
▪ Use the division algorithm to check the quotient on a division problem.
▪ Correctly calculate quotients of the form
▪ Adding whole numbers and multiplying whole numbers with inequalities
▪ Use the theorems for exponents to simplify exponential expressions with one base
▪ Compute arithmetic operations mentally and show the process
▪ Estimate problems using front-end estimation
▪ Estimate problems using a range
▪ Estimate by rounding a 5 up
▪ Use a calculator to perform operations
▪ Use intermediate algorithms for addition
▪ Use the standard algorithm for addition
▪ Use the lattice method for addition
▪ Illustrate addition and subtraction with base 10 pieces and a chip abacus
▪ Use the standard algorithm for subtraction
▪ Use intermediate algorithm for multiplication
▪ Use the standard algorithm for multiplication
▪ Use the lattice method for multiplication
▪ Illustrate multiplication and division with base 10 pieces and a chip abacus
▪ Use intermediate algorithms for division
▪ Use the standard algorithm for division
▪ Know the Fundamental Theorem of Arithmetic
▪ Use tests for divisibility for 2, 3, 5, 6, & 9
▪ Use the prime factor test
▪ Find the GCF using the Euclidean Algorithm
▪ Find the GCF using the prime factorization
▪ Find the LCM using the set intersection method
▪ Find the LCM using prime factorization
Suggested Review Problems
You should study your homework problems, activities, and in-class problems first. If you would like to review by working a few additional problems, try some of those listed below:
Chapter 3: Page 125
3.2: 1, 2, 3, 4, 5, 7, 9 3.3: 2, 3, 4
Chapter Test: 1d, e, i, 6, 7, 8, 11, 12, 14, 16, 17, 23
Chapter 4: Page 170
4.1: 1, 2, 4 4.2: 1, 2, 3, 4b,c,d
Chapter Test: 1, 3, 4, 8, 9, 10, 11, 12, 21
Chapter 5: Page 203
5.1: 1, 2, 3, 4, 5 5.2: 1, 2, 3, 4, 6
Chapter Test: 1, 2, 3, 5, 6a – c, 10, 11, 13, 15, 16, 17, 20, 22
The test is Thursday, 2/25, in class. You may use one side of one 8 by 11.5 inch paper with handwritten notes for the test.
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