PPT-Ratio, Proportion, and Proportional Reasoning.

A professional development program to help teachers better understand the mathematical reasoning needed for ratio proportion and proportional reasoning To understand the importance and significance of ratio proportion and proportional reasoning in the middle grades mathematics curriculum. .. 7.RP - Analyze proportional relationships and use them to solve real-world and mathematical problems.. 8.EE - Understand . the connections between proportional relationships, lines, and linear equations.. Learn what proportional control means and why to use it. Learn to apply proportional control to the Color, and Ultrasonic Sensors. Prerequisites: Math Blocks, Color Sensor Calibration, Data Wires. © 2015 EV3Lessons.com, Last edit 12/19/2015. Bell Ringer…. Are 2/3 and 6/12 proportional?. No; 6/12 = 1/2 ≠ 2/3. Are 2/3 and 10/15 proportional?. Yes; 2/3 = (2*5)/(3*5) = 10/15. Are 2/3 and 4/9 proportional?. No; both are simplified. Proportional Shapes. Remember to Silence Your Cell . Phone and Put It In Your Bag!. Proportional Variance. Two quantities . vary proportionally. iff as their corresponding values increase or decrease, the ratios of the two quantities are always equivalent.. Ratio . A ratio is the comparison of two numbers by division.. A classroom has 16 boys and 12 girls. . Also written as . 16 boys. , . 16:12 or 16 to 12. 12 girls. Generally, ratios are in lowest terms:. WALL FOLLOWER. © 2015, EV3Lessons.com, Last edit 11/17/2015. Learn how to use proportional control with the ultrasonic sensor to follow walls. Prerequisites: Data Wires, Proportional Control, Loops, Math Blocks, Sensor Blocks. Magumba. Lecture 3 . Proportionality. Ratios. If the ratio of A:B is 1:3 then A = 1/3 of B. For instance if you were to divide 20 oranges between A and B in the ratio 1:3 it means you have a total of 1 + 3 or 4 equal parts and each part is equal to 20/4 or 5 oranges, A gets 1 * 5 oranges and B gets 3 * 5 oranges. Ratios. A . ratio. is a comparison of . two. numbers.. Example: Tamara has 2 dogs and 8 fish. The ratio of dogs to fish can be written in three different ways. ..  .  . ***. Be careful with the . Directly Proportional. Directly proportional: as one amount increases, . another amount increases at the same rate. .. Hence, the straight line when we graph information. Directly Proportional. Example: you are paid $20 an hour. 3/28/17. How do we write ratios?. How do we write and simplify rates?. How do we decide whether two ratios/rates are proportional?. Today We’ll Discuss. Definition:. The . ratio. of two numbers . Stepping out in faith. 1. Stewardship is discipleship. God loves us and is calling us into relationship with Him.. Stewardship and Discipleship are about . how you live your life. as a result and reflection of that relationship.. John Barker & Jennifer Thomas. Nevada Math Project. March 2015. Big Ideas. Ratio – A ratio is used to measure two different things in two different units.. Ex. How far a car drives with how long it takes to get to the destination. . Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion. Topic A: Proportional Relationships Lesson 3 Identifying Proportional and Non-Proportional Relationships in Table Topic A Overview Lesson 1: An Experience in Relationships as Measuring Rate Lesson 2: Proportional Relationships