Unit 1: Learning Objectives

Lesson1

Place Value and Names for Whole Numbers

• Find the place value of a digit in a whole number.
• Write a whole number in words and in standard form.
• Write a whole number in expanded form.

Rounding Whole Numbers

• Learn the rules for rounding.
• Round whole numbers to specific place values, including tens, hundreds, and thousands.

Comparing Whole Numbers

• Use > or < to compare whole numbers.

Lesson2

Adding Whole Numbers and Applications

• Add whole numbers without regrouping.
• Add whole numbers with regrouping.
• Find the perimeter of a polygon.
• Solve application problems using addition.

Subtracting Whole Numbers and Applications

• Subtract whole numbers without regrouping.
• Subtract whole numbers with regrouping.
• Solve application problems using subtraction.

Estimation

• Use rounding to estimate sums and differences.
• Use rounding to estimate the solutions for application problems.

Lesson3

Multiplying Whole Numbers and Applications

• Use three different ways to represent multiplication.
• Multiply whole numbers.
• Multiply whole numbers by a power of 10.
• Use rounding to estimate products.
• Find the area of a rectangle.
• Solve application problems using multiplication.

Dividing Whole Numbers and Applications

• Use three different ways to represent division.
• Divide whole numbers.
• Perform long division.
• Divide whole numbers by a power of 10.
• Recognize that division by 0 is not defined.
• Solve application problems using division.

Lesson4

Properties and Laws of Whole Numbers

• Simplify by using the addition property of 0.
• Simplify by using the multiplication property of 1.
• Identify and use the commutative law of addition.
• Identify and use the commutative law of multiplication.
• Identify and use the associative law of addition.
• Identify and use the associative law of multiplication.

The Distributive Property

• Simplify using the distributive property of multiplication over addition.
• Simplify using the distributive property of multiplication over subtraction.

Lesson5

Understanding Exponents and Square Roots

• Evaluate expressions containing exponents.
• Write repeated factors using exponential notation.
• Find a square root of a perfect square.

Order of Operations

• Use the order of operations to simplify expressions, including those with parentheses.
• Use the order of operations to simplify expressions containing exponents and square roots.