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?
Example 1
  • Standard Algorithm: standard algorithm or method is a specific method of computation which is conventionally taught for solving mathematical problems. Example: 
    week 2 example

Additional Terms and Symbols

  • 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.

Alternative Video Links

The links in this document are for users who cannot access the links in the lesson plans.