# Module 1 – Number Sense: Part 1

##### Getting Started
1. Review the module introduction and outcomes to help you gain an understanding of the main topics and expectations.
2. Work through each lesson in this module and complete the Check Your Knowledge activity. You can take notes on each lesson by clicking on the “take notes” tab on the bottom right of your screen. You can take notes for each lesson and they will appear on your dashboard. Make sure you save your notes before continuing to another lesson or quiz.
3. Complete the Module Quiz and Module Evidence Activity on this page once all lessons are finished in full.

In Number Sense Part One, students will learn methods of mental math such as decomposition and doubling to develop flexibility in thinking about numbers before moving on to estimation and rounding. These basic skills will be used in calculating greatest common factor (GCF) and least common multiple (LCM) in order to understand fractions. Students will do extensive modeling of fractions while learning to perform mathematical operations with fractions.

After completing this Module, you should be able to:

• Demonstrate how to mentally multiply up to double digit values using decomposition strategies.
• Estimate and check answers using mental computation and estimation strategies to determine reasonableness, identify alternatives, and select optimal results.
• Apply number properties involving multiples and factors.
• Model a fraction using a visual diagram and compare it to an equivalent fraction; convert between improper and mixed fractions, and compare the size of fractions on a number line.
• Demonstrate calculations of fractions using numbers.
• Demonstrate calculation using fractions using models.

#### Lesson 1 – Intro to Number Sense • decomposition
breaking a number into pieces by place value, which can be added back together to form that number
• doubling
adding a number to itself or multiplying it by two
• halving
finding a value that can be added to itself to get the number you want half of

#### Lesson 2 – Estimation • estimation
a good guess at an exact calculation
• integers
whole numbers that can be positive or negative, including zero (...-2, -1, 0, 1, 2...)
• place value
a digit’s position in a number

#### Lesson 3 – GCF and LCM • factors
numbers that divide into numbers or multiply with another factor to get a number
• GCF
greatest common factor
• LCM
lowest common multiple
• multiples
numbers gotten by multiplying a number by counting numbers
• prime numbers
numbers bigger than one with only one factor pair (1 and itself)

#### Lesson 4 – Fractions: Part 1 • denominator
the bottom number of a fraction, which describes how many pieces a whole is divided into
• equivalent fractions
fractions that have the same value, but different names
• fractions
numbers that describe the parts of a whole
• improper fraction
a fraction that has a bigger numerator than the denominator
• mixed number
a number that has a whole number and a fraction
• numerator
the top number of a fraction, which describes how many parts to count

#### Lesson 5 – Fractions: Part 2 • LCD
lowest common denominator
• LCD of two fractions
the least common multiple (LCM) of two fractions’ denominators
• reciprocal of a fraction
the fraction you get by flipping the numerator and denominator of another fraction
• simplified fraction
a fraction that has no common factors in the numerator and denominator

#### Lesson 6 – Applications: Visually Modeling Fractions • denominator
the bottom number of a fraction, which describes how many pieces a whole is divided into
• equivalent fractions
fractions that have the same value, but different names
• fractions
numbers that describe the parts of a whole
• improper fraction
a fraction that has a bigger numerator than the denominator
• LCD
lowest common denominator
• LCM
lowest common multiple
• mixed number
a number that has a whole number and a fraction
• numerator
the top number of a fraction, which describes how many parts to count
• proper fractions
fractions bigger than 0 but less than 1
Module Lessons