Unit 1: Introducing Prime and Composite Numbers and Applying the Order of Operations to Review Four Whole Number Operations
Essential Questions
How can we determine whether a number is prime or composite?
What rules do I know that I can use to calculate efficiently and accurately?
Students will be able to…
Simplify numerical expressions that do not involve exponents, including up to two levels of groupings.
Describe the meaning of parenthesis and brackets in a numerical expression.
Identify prime and composite numbers.
Add and subtract whole numbers place using the standard algorithm.
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.
Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.
Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.
Unit Vocabulary Terms
addition
array
brackets
calculate
composite number
divide (division)
equation
expression
factor
levels of grouping: Parentheses and brackets
multiply (multiplication)
operation
order of operations
parentheses
prime number
product
subtraction
total
Essential Questions
How can we determine whether a number is prime or composite?
What rules do I know that I can use to calculate efficiently and accurately?
Students will be able to…
Simplify numerical expressions that do not involve exponents, including up to two levels of groupings.
Describe the meaning of parenthesis and brackets in a numerical expression.
Identify prime and composite numbers.
Add and subtract whole numbers place using the standard algorithm.
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.
Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.
Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.
- 5.4B represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
- 4.4A add and subtract whole numbers place using the standard algorithm.
- 4.4H solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.
- 4.5D solve problems related to perimeter and area of rectangles where dimensions are whole numbers.
- 4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.
- 4.9B solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.
- 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.
Unit Vocabulary Terms
addition
array
brackets
calculate
composite number
divide (division)
equation
expression
factor
levels of grouping: Parentheses and brackets
multiply (multiplication)
operation
order of operations
parentheses
prime number
product
subtraction
total