## Weekly Overview

Weekly Topics

The focus of this week’s instruction is to deepen students’ understanding of:

• Multiplication
• Division
• Word Problems

Materials Needed

• Student Print Packets for each day
• End of Week Assessment

Standards Covered

4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models

Representations

• Tape Diagrams:  Tape diagrams are also called “bar models” and consist of a simple bar drawing that students make and adjust to fit a word or computation problem. Example:  A goat produces 5,212 gallons of milk a year. A cow produces 17,279 gallons of milk a year. How much more milk does a goat need to produce to make the same amount of milk as a cow? • Standard Algorithm: standard algorithm or method is a specific method of computation which is conventionally taught for solving mathematical problems. Example: • Algorithm (steps for base ten computations with the four operations)
• Area (the amount of two-dimensional space in a bounded region)
• Array (a set of numbers or objects that follow a specific pattern, a matrix)
• Bundling, grouping, renaming, changing (compose or decompose a 10, 100, etc.)
• Compare (to find the similarity or dissimilarity between)
• Distribute (decompose an unknown product in terms of two known products to solve)
• Divide, division (e.g., 15 ÷ 5 = 3)
• Divisible
• Divisor (the number by which another number is divided)
• Formula (a mathematical rule expressed as an equation with numbers and/or variables)
• Long division (process of dividing a large dividend using several recorded steps)
• Equation (a statement that the values of two mathematical expressions are equal using the = sign)
• Factors (numbers that can be multiplied together to get other numbers)
• Mixed units (e.g., 1 ft 3 in, 4 lb 13 oz)
• Multiple (product of a given number and any other whole number)
• Multiply, multiplication (e.g., 5 × 3 = 15)
• Perimeter (length of a continuous line forming the boundary of a closed geometric figure)
• Place value (the numerical value that a digit has by virtue of its position in a number)
• Product (the result of multiplication)
• Quotient (the result of division)
• Rectangular array (an arrangement of a set of objects into rows and columns)
• Rows, columns (e.g., in reference to rectangular arrays)
• ___ times as many ___ as ___ (multiplicative comparative sentence frame)

## Materials List

The following materials list will be used for the entire four weeks: Materials List.