 # Unit 1: Fractions (Grades 4-6th)

Fractions name parts of units, so they are smaller than 1. Whole numbers count things, like 1, 2, 3, 4, 5... We're going to learn all about fraction concepts, mixed numbers, how to add, subtract, multiply and divide fractions, and how these amazing fractions get used in everyday life!

If your student has had some amount of work in fractions, use the practice tests at the back of each of the fractions workbooks to determine the appropriate level for your student.

Please note: a beginner simply means that the math concept being introduced is new to the student. An intermediate  student has seen the concept, but needs more work with it to fully understand it, and advanced students are ready for the practical application of the concept. Please note that students may switch between beginner, intermediate and advanced at any time (something even within a single day). These terms describe a student’s interest and ability, not grade or age.

## Fractions Week #1

### Introduction to Fractions

#### Uses Fractions Workbook #1

Fractions are smaller than 1. We're going to introduce how to build a fractions, learn how to read a number line, take measurements with a ruler in fractions of an inch, run an Ice Cream Shop, and examine photographs from our nature hike!

Skills: Introducing fractions, building fractions to represent real-world problems, measuring in Standard System, scaling photographs to get life-size measurements.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions): Standard Units & Scaling Ratios, Antarctic Blue Whales, Andean Condor, Harpy Eagle, Big Moons & Small Planets, Planet Scales,  Sun & Stars, Galactic Scales.

## Fractions Week #2

### Multiplying & Scaling Fractions

#### Uses Fractions Workbook #1 & #2

We’re going to expand on fractions by sizing and scaling our fractions, reducing and making equivalent fractions, and having a lot of fun running a Pizza Place, installing new carpet and tracking the weather.

Skills: Multiplying fractions, reducing and expanding fractions by multiplying and dividing, measuring in Standard System, looking at data for patterns using fractions.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions): Standard Units, Tracking Weather, Floor Plan, Baking Project.

## Fractions Week #3

### Multiplying & Dividing Fractions

#### Uses Fractions Workbook #2

We're going to continue our adventure by learning about greatest common factors, getting lost in a measurement maze, running a small Bakery Shop, calculating the spin of the sun, and discovering how to handle time calculations.

Skills: using greatest common factors to scale fractions; multiplying and dividing fractions; using fractions to solve word problems.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions): Road Trip, Time Lab (all 4 parts), Solar Spin, Solar Storms.

## Fractions Week #4

### Dividing & Simplifying Fractions; Adding & Subtracting Fractions with Same Denominator

#### Uses Fractions Workbook #2 & #3

Explore fractions operations by practicing adding and subtracting fractions, expanding and reducing fractions, getting lost in a math maze, running a bakery, discovering how clocks run on different planets, learning how to use a microscopic scale, and hiking up an active volcano!

Skills: Basic operations of fractions including adding and subtracting fractions with common denominators; multiplying and dividing fractions of different denominators; time measurement (both elapsed time and time zone calculations); word problems with fractions.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions):  Microscopes, Astronomical Time Intervals, Telling Time on Mars, Moon's Atmosphere, Calculating Time Zones, Working with Rates, Volcano Lab.

## Fractions Week #5

### Adding & Subtracting Fractions with Different Denominators

#### Uses Fractions Workbook #3

Discover more fractions operations by practicing adding and subtracting fractions, investigating gear ratios by racing bikes and building LEGO gear trains, we'll go to a Fractions Fair, discover how to scale galaxies, and more!

Skills: adding and subtracting fractions with different denominators; scaling fractions to be equivalent to each other by using multiplication and division; least common denominators; ratios and proportions using real world problems (like gear ratios).

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions): Ratios & Proportions, Orbits of Neptune & Pluto, Cassini's Visit to Saturn, A Matter of Timing, Sombrero Galaxy M104, and the Bicycle Lab

## Fractions Week #6

### Mixed Numbers, Improper Fractions & Ratios

#### Uses Fractions Workbook #4

This week covers mixed numbers and improper fractions, and how to convert between the two. We'll also look at how to add both of these together in our practice math problems. We'll also practice running a Lemonade Stand, get totally lost in four different math mazes, discover how ratios are different from fractions, and bounce our way into elastic energy calculations!

Skills: building and converting mixed numbers and improper fractions, adding and subtracting mix numbers with different denominators; scaling fractions to be equivalent to each other by using multiplication and division; ratios and proportions using real world problems.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions): Bouncy Ball Lab & Coefficient of Restitution Ratio, Ratios & Proportions (all 7 parts)

## Fractions Week #7

### Mixed Numbers & Improper Fractions

#### Uses Fractions Workbook #4

Explore how mixed numbers and improper fractions can be added, subtracted, multiplied and divided by doing fun mazes, playing math games and racing paper airplanes. We'll also have a Measurement Practice Test for the Standard System and advanced students will learn how to use Architectural Scales using a 6-sided ruler with 12 different scales.

Skills: all basic operations with fractions and mixed numbers with different denominators; scaling fractions to be equivalent to each other; finding least common denominators; and using math as a tool to solve real-world science and engineering problems.

Advanced Math Labs (to be completed after student has finished all Beginner and Intermediate sections from all 7 sessions):  Architectural Scales, Galaxy Distances & Mixed Numbers, The Event Horizon, Exploring Black Holes, Magnetic Field Speeds on the Sun, Pan's Highway in Saturn's Rings.

## Math Quick Checks

These Math Quick Checks are Common Core aligned. They are exactly what you need to quickly check for understanding or assess student learning. They can be used as assessments, homework, or to help reteach a skill in case your student has gaps.

## Fraction Review

Finished with fractions? Watch the video below for a full-course review session and take notes as you go along. Then work through the Fractions Full Review Packet on your own to see how much you've learned!

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