Description
What our Ratios, Tables, Coordinate Planes lesson plan includes
Lesson Objectives and Overview: Ratios, Tables, Coordinate Planes teaches students all about ratios, tables, and coordinate planes, including what they are, how to use them, and how they can all be used together to solve math problems and organize data. At the end of the lesson, students will be able to create tables with equivalent ratios, find missing values in the tables, create ordered pairs from the tables, and plot the values on a coordinate plane. This lesson is for students in 6th grade.
Classroom Procedure
Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.
Options for Lesson
Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have your students write ordered pairs and create tables from graphs. If your students are more advanced, you can begin to create tables with addition and subtract and/or introduce two step operations.
Teacher Notes
The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.
RATIOS, TABLES, COORDINATE PLANES LESSON PLAN CONTENT PAGES
Ratios, Tables, Coordinate Planes
The Ratios, Tables, Coordinate Planes lesson plan includes three content pages. Ratios compare two quantities by showing how much of something there is in relation to something else.
You can write ratios in three different ways: 2:3, 2 to 3, or 2/3. You can also write them in a table where you can scale them up or down. If you started your table with 2 and 3, the ratio is scaled up by a factor of two. This means that the ratio is scaled up by 2 to find the next equivalent ratio. 2/3 x 2/2 = 4/6. 4/6 (which can also be written as 4:6 or 4 to 6) is your next equivalent ratio.
To find the next equivalent ratio, you multiply the original ratio by a factor of 3: 2/3 x 3/3 = 6/9. For the next equivalent ratio, you multiply the original ratio by a factor of 4: 2/3 x 4/4 = 8/12. You can convert these ratios to a set of ordered pairs: {(2,3); (4,6); (6,9); (8,12)}. You can then graph them on a coordinate plane.
What do you do if you have missing values in a table? You need to find the pattern. Say your table lists (4, 3), (8, x), and (12, 9). To find x, look for a pattern. You know that 4 times 2 is 8, so we can think 3 times 2 is what number? It is 6, so the missing value (x) is 6. The easiest way to find the missing values is to use the original or reduced ratio. Once your table is complete, you can create ordered pairs and graph them on a coordinate plane.
Ratios can be written in tables. If you find equivalent ratios, you can create a set of values in the table. The equivalent ratios can then be converted into ordered pairs. Finally, the ordered pairs can be graphed on a coordinate plane. This skill is essential for solving rate and ratio problems in real world examples!
RATIOS, TABLES, COORDINATE PLANES LESSON PLAN WORKSHEETS
The Ratios, Tables, Coordinate Planes lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.
RANDOM RATIOS ACTIVITY WORKSHEET
The activity worksheet asks students to draw a ratio out of a bag and write it in the bold box on the worksheet. They will then find three equivalent ratios and write them in the table. Finally, they will graph them on a coordinate plane.
RATIO TABLES PRACTICE WORKSHEET
For the practice worksheet, students will first complete three ratio tables. They will then fill in ratio tables with any missing values, convert them to ordered pairs, and graph.
RATIOS, TABLES, COORDINATE PLANES HOMEWORK ASSIGNMENT
The homework assignment asks students to fill in the table with any missing values, convert to ordered pairs, and draw a graph. They will also fill in a table with their own equivalent ratios.
Worksheet Answer Keys
This lesson plan includes answer keys for the practice worksheet and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.
