# Module 1 – Number Sense: Part 1

##### Getting Started

- Review the module introduction and outcomes to help you gain an understanding of the main topics and expectations.
- 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.
- Complete the Module Quiz and Module Evidence Activity on this page once all lessons are finished in full.

**Note: **If you would like to learn more about this module’s topics, click the Module Toolbox or Module Glossary for additional and supplementary resources.

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

- decompositionbreaking a number into pieces by place value, which can be added back together to form that number
- doublingadding a number to itself or multiplying it by two
- halvingfinding a value that can be added to itself to get the number you want half of

#### Lesson 2 – Estimation

- estimationa good guess at an exact calculation
- integerswhole numbers that can be positive or negative, including zero (...-2, -1, 0, 1, 2...)
- place valuea digit’s position in a number

#### Lesson 3 – GCF and LCM

- factorsnumbers that divide into numbers or multiply with another factor to get a number
- GCFgreatest common factor
- LCMlowest common multiple
- multiplesnumbers gotten by multiplying a number by counting numbers
- prime numbersnumbers bigger than one with only one factor pair (1 and itself)

#### Lesson 4 – Fractions: Part 1

- denominatorthe bottom number of a fraction, which describes how many pieces a whole is divided into
- equivalent fractionsfractions that have the same value, but different names
- fractionsnumbers that describe the parts of a whole
- improper fractiona fraction that has a bigger numerator than the denominator
- mixed numbera number that has a whole number and a fraction
- numeratorthe top number of a fraction, which describes how many parts to count

#### Lesson 5 – Fractions: Part 2

- LCDlowest common denominator
- LCD of two fractionsthe least common multiple (LCM) of two fractions’ denominators
- reciprocal of a fractionthe fraction you get by flipping the numerator and denominator of another fraction
- simplified fractiona fraction that has no common factors in the numerator and denominator

#### Lesson 6 – Applications: Visually Modeling Fractions

- denominatorthe bottom number of a fraction, which describes how many pieces a whole is divided into
- equivalent fractionsfractions that have the same value, but different names
- fractionsnumbers that describe the parts of a whole
- improper fractiona fraction that has a bigger numerator than the denominator
- LCDlowest common denominator
- LCMlowest common multiple
- mixed numbera number that has a whole number and a fraction
- numeratorthe top number of a fraction, which describes how many parts to count
- proper fractionsfractions bigger than 0 but less than 1

#### Lesson 1 – Intro to Number Sense

Multiplying by decomposing numbers video

#### Lesson 2 – Estimation

MathIsFun – applications of estimation

#### Lesson 3 – GCF and LCM

#### Lesson 4 – Fractions: Part 1

#### Lesson 5 – Fractions: Part 2

Triplets – the equivalent fraction game

#### Lesson 6 – Applications: Visually Modeling Fractions

Fraction Models from the National Council of Teacher of Math