Unit 3 - Using Models to Multiply and Divide Fractions
Math Notes/Review For Test
Multiplying a Fraction by a Whole Number Notes - Notes
Multiplying a Fraction by a Whole Number Practice - Practice
Multiplying a Fraction by a Whole Number Notes - Answer Key
Interpreting Fractions as Division - Notes
Interpreting Fractions as Division - Practice
Interpreting Fractions as Division - Answer Key
Dividing Fractions (Whole Number Divided by Fraction) - Notes
Dividing Fractions (Fraction Divided by Whole Number) - Notes
Dividing Fractions - Answer Key
Video Resources for Parents and Students
Unit Fraction multiplied by a whole number using an area model (teacher guided lesson)
Fraction multiplied by a whole number using a bar model (teacher guided lesson)
Essential Questions:
How is multiplying with fractions similar or different to multiplying with whole numbers?
How might fractional parts affect the answer in real world scenarios?
Through this unit, students learn to multiply and divide fractions using models. The goal is to build a conceptual understanding of these fractional operations; students will not use algorithms to problem-solve at this point, but will rather use the models to understand why multiplying two fractions less than one results in a product that is less than either of the original fractions, as well as why dividing a whole number by a unit fractions results in a quotient that is greater than the dividend. Additionally, students will work to understand how to represent division scenarios using fractions. Through this work, students continue to practice with the order of operations.
The unit test on Friday 10/24 will have all topics from Unit 2 including volume, numerical expressions, order of operations, multiplication and division. Here is a review of some of the concepts, but I would also review all the notes below for Unit 2.
Notes for Unit 2: Part 2- Multiplication and Division
Division Notes - Dividing by 1 and 2 digit numbers.
Division Notes - Basics
Class Notes - Expressions and Order of Operations
2 digit by 2 digit Multiplication
Notes for Unit 2: Part 1- Volume
Finding Volume with Unit Cubes
Finding Volume of Rectangular Prisms
Volume of Composite Figures...Video
Notes for Unit 1
Data Review and Coordinate Graphing Slides
Input/Output Table Notes (Coordinate Relationships)
Unit 2: Using Models to Explore Properties of Multiplication and Division
Video Resources for Teachers and Students:
Understanding Volume (Teacher Guided Virtual Lesson for Students)
Finding the Volume of Composite Figures (Teacher Guided Virtual Lesson for Students)
Video Resources: From the Wake County Academics YouTube Channel
Essential Questions:
How might you use your knowledge of volume in the real-world?
This unit focuses on building students’ understanding of multiplication and division through the hands-on exploration of rectangular prisms. This unit focuses on strategies based on the distributive, associative, commutative, and identity properties and does not include the development of the standard algorithms for either multiplication or division. Development of the standard algorithm for multiplication will occur within unit 6. Students will work to build an understanding of the Order of Operations as they record their thinking symbolically.
Unit 1: Creating Classroom Community Through Data and Graphing
Video Resources for Students:
What is a Line Graph & When Do We Use Them? (Teacher Guided Virtual Lesson for Students)
This unit focuses on building student understanding of data collection. Students learn to collect data by asking questions, represent data that changes over time using a line graph, and determine whether a survey question will yield categorical or numerical data. Additionally, students work to graph points in the first quadrant of a coordinate plane, using it to solve problems. To close out this unit, students will work to generate two numerical patterns using two given rules, identifying relationships between terms. Time during this unit should also be spent on setting up the classroom, including developing norms for communication, developing math routines, and setting various expectations for the structure of the math block.
In our math class, students will build strong skills and confidence through:
Problem Solving & Dialogue – We explore multiple strategies, ask questions, and explain our thinking.
Cooperative Group Work – Students often work together to solve problems and learn from one another.
DreamBox Learning – An engaging, adaptive online program to support math growth.
Topics We’ll Cover This Year:
Data and Graphing
Properties of Multiplication and Division
Fractions
Measurement
Classifying Quadrilaterals
Homework:
Sent home each Friday and due the following Friday.
Students should also practice math facts regularly at home.
Multiplication Fact Mastery is essential — many concepts will be much harder without fluent recall.
Our Goal:
To make math meaningful, challenging, and fun while preparing students for success this year and beyond!