## Welcome.

**@**

**#SCHOOL OF ONE.**

**WE ARE A MATH COMMUNITY.**

**THE TOOLS OF OUR TRADE ARE**

**PENCILS, PAPER, ERASERS.**

**OUR HARD WORK REWARDS ITSELF.**

**WE SEE**

**THINGS**

**IN DIFFERENT WAYS.**

**WE**

**BREAK**

**T H I N G S APART**

**AND WE PUT THEM BACK TOGETHER.**

**WE PERSEVERE.**

Again, welcome. Your journey through the wonderful world of mathematics is about to begin.

Click

**HERE**to take the second step of your journey. You're getting good at this! Below you will start your tasks. Read each standard and do the activities for each standard so you can become a master.

**TASK 1:**

*READ THE STANDARDS, WATCH AND TAKE NOTES ON THE VIDEOS, TACKLE THE PRACTICE PROBLEMS ON THE WORKSHEETS. WHEN YOU ARE READY, COMPLETE THE MASTERY CHALLENGE ON THE WORKSHEET AND SHOW IT TO YOUR TEACHER. FINALLY, COMPLETE THE KHAN ACADEMY 7.RP.1 ASSESSMENT BELOW TO MASTER 7.RP.1*

**7.RP.A.1 [**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 1]**

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

**VIDEO LESSON: Rate / Ratio / Unit Rate Intro**

**VIDEO LESSON: Fractional Unit Rates**

Problem One - Calculating Fractional Unit Rate

Problem One - Calculating Fractional Unit Rate

**WORKSHEET**

**Problem Two - Calculating Fractional Unit Rate**

**WORKSHEET**

Problem Three - Comparing Fractional Unit Rate

Problem Three - Comparing Fractional Unit Rate

**WORKSHEET**

KHAN ACADEMY 7RP1 ASSESSMENT

KHAN ACADEMY 7RP1 ASSESSMENT

**CONGRATULATIONS! You have moved on to 7RP2!**

**TASK 2:**

*READ THE STANDARDS, WATCH AND TAKE NOTES ON THE VIDEOS, TACKLE THE PRACTICE PROBLEMS ON THE WORKSHEETS. WHEN YOU ARE READY, COMPLETE THE MASTERY CHALLENGE ON THE WORKSHEET AND SHOW IT TO YOUR TEACHER. FINALLY, COMPLETE THE KHAN ACADEMY 7.RP.2 ASSESSMENT BELOW TO MASTER 7.RP.2***7.RP.A.2**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 2]**

Recognize and represent proportional relationships between quantities.

**7.RP.A.2.A**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 2A]**

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

**7.RP.A.2.B**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 2B]**

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

**7.RP.A.2.C**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 2C]**

Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

**7.RP.A.2.D**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 2D]**

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

**VIDEO LESSON: How do I interchange fractions, decimals, and percents?**

**VIDEO LESSON: How are graphs, tables, and equations related?**

**VIDEO LESSON: What is a proportion; what is a proportional relationship?**

**VIDEO LESSON: What makes a proportional relationship?**

**VIDEO LESSON: What is the 'constant of proportionality'?**

**VIDEO LESSON: How do I use a proportion?**

**VIDEO LESSON: How do I use the “Big Three”?**

**VIDEO LESSON: How do I solve a proportion with Cross Products?**

**Problem Four - Finding Unit Rates on a Graph**

**WORKSHEET**

**Problem Five - Determining Proportionality**

**WORKSHEET**

**Problem Six - Setting up an Equation for a Proportional Relationship**

**WORKSHEET**

**KHAN Academy 7RP2 Assessment**

**CONGRATULATIONS! You have moved on to 7RP3!**

**TASK 3:**

*READ THE STANDARDS, WATCH AND TAKE NOTES ON THE VIDEOS, TACKLE THE PRACTICE PROBLEMS ON THE WORKSHEETS. WHEN YOU ARE READY, COMPLETE THE MASTERY CHALLENGE ON THE WORKSHEET AND SHOW IT TO YOUR TEACHER. FINALLY, COMPLETE THE KHAN ACADEMY 7.RP.3 ASSESSMENT BELOW TO MASTER 7.RP.3***7.RP.A.3**

**[**

**7TH GRADE, RATIO/PROPORTIONS, STANDARD 3]**

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

*WATCH THE VIDEOS, TACKLE THE WORKSHEETS, AND COMPLETE THE KHAN ACADEMY 7.RP.3 ASSESSMENT BELOW TO MASTER 7.RP.3***VIDEO LESSON: 7.RP.3 Intro**

VIDEO LESSON: What is a tip?

**VIDEO LESSON: What is a discount?**

**Problem Seven - Discounts, Taxes, and Tips**

**WORKSHEET**

**VIDEO LESSON: What does it mean to get paid by commission?**

**Problem Eight - Commission**

**WORKSHEET**

**Problem Nine - Simple Interest**

**WORKSHEET****VIDEO LESSON: Percent Change**

**Problem Ten - Percent Increase and Decrease**

**WORKSHEET**

**Problem Eleven - Percent Expressions**

**WORKSHEET**

**KHAN ACADEMY 7RP3 Assessment**

**ARE YOU SERIOUS? YOU HAVE MASTERED 7TH GRADE RATIOS AND PROPORTIONS! TIME FOR A CELEBRATION.**