Unit Two

Our next unit is moving away from place value and moving toward multiplication!
We will be using what we know about rounding to help us estimate problems. For example, if I'm solving 33 x 48 I can estimate 30 x 50 = 1,500. I know my product will be pretty close to 1,500. 

Unit Summary: 
Students are expected to use strategies to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include estimation, algorithms, mental math, partial products, and associative/commutative/distributive properties.

TEKS: 

4.4 Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations and decimal sums and differences in order to solve problems with efficiency and accuracy. The student is expected to:

4.4B determine products of a number and 10 or 100 using properties of operations and place value understandings;

4.4C represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15;

4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;

4.4G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers;

4.4H solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

4.5 Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:

4.5A represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity;

Vocabulary:
Add, Sum, Subtract, Difference, Place Value, Digit, Expanded Notation, Whole, One-Digit Number, Two-Digit Number, Pattern, Product, Properties of Operation, Area Model, Array, Equation, Number Sentence, Factor, Multiplication, Perfect Square, Partial Product, Algorithm, Mental Math, Strategy, Commutative Property, Associative Property, Distributive Property, Compatible Numbers, Estimate, Round, Solution, Product, Addend, Strip Diagram, Bar Model, Variable