6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,

Slides:



Advertisements
Similar presentations
© 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Ratios Examining Module 1 for Grades 6 –
Advertisements

Today, we will graph the information from the tables of values that we worked with yesterday in class. Our objective is to use a graph to identify if a.
The Importance of SMP5 Use appropriate tools strategically Double Number Lines Common Core Leadership in Mathematics (CCLM) Tuesday January 21, 2014 This.
7.RP - Analyze proportional relationships and use them to solve real-world and mathematical problems. 1. Compute unit rates associated with ratios of.
Identifying and Representing Proportional Relationships
Topic A: Proportional Relationships
6th Grade Ratios & Proportions
Ratios and proportional thinking – grade 6
Sixth Grade Block 3.
2010 New Math Standards. Mathematical Practices 1. Attend to precision 2. Construct viable arguments and critique the reasoning of others 3. Make sense.
CCSSM National Professional Development Ratios and Proportions Sara Anaya Ayşe Şahin Diana White Grades 6/7.
7th Grade Math Final Review (20 % of Semester Grade)
Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.3.
Transitioning to the Common Core State Standards – Mathematics Pam Hutchison
Grade 6 Module 1 Lesson 14. Exercise 1 Create a table to show the time it will take Kelli and her team to travel from Yonkers to each town listed in the.
Slide 1 Lesson 76 Graphing with Rates Chapter 14 Lesson 76 RR.7Understand that multiplication by rates and ratios can be used to transform an input into.
Solving Multiplication Equations Using the Multiplicative Inverse
Ratios and the Coordinate Plane Lesson After completing this lesson, you will be able to say: I can plot pairs of values that represent equivalent.
Warm Up # 3 Quarterly Assessment 3 Take out your Make Up QA – work on them quietly Work on your homework if you are finished.
4-4 Solving Proportions Vocabulary cross product.
Question 1 The recipe for chocolate chip cookies requires 2 cups of chocolate chips for every 6 cups of flour. What is the ratio of chocolate chips to.
Lesson 70: Solving Direct Variation Problems. Bell Work: Graph the points (-2, -4) and (6, 0) and draw a line through the points. Then write the equation.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–1) CCSS Then/Now New Vocabulary Key Concept: Linear Function Example 1: Solve an Equation.
Course 2, Lesson The amount a cashier earns is shown in the table. Determine whether the amount earned is proportional to the number of hours worked.
JEOPARDY Functions Equations Formulas Explicit Formulas
Question 1 The recipe for chocolate chip cookies requires 3 cups of chocolate chips for every 8 cups of flour. What is the ratio of chocolate chips to.
Directions: 1. Circle ALL crayons. 2. Determine how many crayons you have. 3. Determine how many markers you have. There are crayons for every markers.
6.RP - Understand ratio concepts and use ratio reasoning to solve problems. 1. Understand the concept of a ratio and use ratio language to describe a.
P ROBLEM OF THE D AY Directions : 1. Complete the problem of the day working alone or with a partner. After you have completed the task, identify at least.
Unit 1 Ratios and Unit Rates Unit 1 Ratios and Unit Rates.
Proportions & Unit Rate 7 th Grade Math. 1. Melanie and Valerie went shopping last week. Melanie bought twice as many shirts as Valerie. If Valerie bought.
Percent.
Course 2, Lesson 1-5 Use the four-step plan to solve each problem. 1. A comic book store took in $2,700 in sales of first editions during November. December.
Direct Variation. A direct variation is… A linear equation The y-intercept must be zero!!!! The graph of a direct variation will ALWAYS go through the.
A Synthesis of Representations of Equivalent Ratio Collections
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–1) CCSS Then/Now New Vocabulary Key Concept: Linear Function Example 1: Solve an Equation.
Proportional Relationships
Vocabulary linear function parent function family of graphs root zeros.
Meaning of Equations and Inequalities.  Today’s standard: CCSS.MATH.CONTENT.7.EE.B.4  Use variables to represent quantities in a real-world or mathematical.
Proportions From Tables. Hours WorkedPay You have been hired by your neighbor to babysit their children Friday night. You are paid.
Direct Variation y = kx. A direct variation is… A linear function Equation can be written in the form; y = mx ; m  0 ory = kx ; k  0 The y-intercept.
You need: Pencil Agenda Scrap Paper AP log Put all other materials in floor or in a desk NOW!
Independent and Dependent Variables in Tables and Graphs
Topic A: Proportional Relationships
Proportional and Non- Proportional Relationships using Tables Objective: I will determine proportional and non-proportional relationships using tables.
Module 1: Standards.  Explain the concept of a ratio  Use ratio language to describe a relationship between two quantities Example: The ratio of girls.
Ratio and Units Rates Module 1
Direct Variation: What is it and how do I know when I see it? Do Now: Find the slope of the line that contains the points (-3, 5) and (6, -1).
You need: Pencil Agenda Scrap Paper AP log Put all other materials in floor or in a desk NOW!
7.RP.2 Analyze proportional relationships and use them to solve real-world and mathematical problems. Recognize and represent proportional relationships.
Proportional Relationships
Do Now: 10/30/17
Chapter 3 Ratios and Rates
Splash Screen.
Five-Minute Check (over Lesson 3–1) Mathematical Practices Then/Now
Do Now Can you Reason abstractly?
Splash Screen.
Lesson – Teacher Notes Standard:
Lesson – Teacher Notes Standard:
Lesson Day 2 – Teacher Notes
Lesson Day 1 – Teacher Notes
You need: Pencil Agenda Scrap Paper AP log
X+1+4≤9 5k-2k> Agenda Ticket in the Door
Bell Work Friday, February 16, 2018
X+1+4≤10 5k-2k> Ticket in the Door Agenda
Lesson – Teacher Notes Standard:
Lesson – Teacher Notes Standard:
6.RP.3a Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values.
Homework: Maintenance Sheet 15 via study island due Friday
Ratios, Unit Rates, and Proportions
Presentation transcript:

6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 3a - Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. 3b - Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? 3c - Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. 3d - Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Every morning, Julio drives his 1.5 hour route to gather the children for school. His route covers 45 miles and there are 60 kids on the route. Create a tape diagram to determine how many miles are traveled in one hour. Be prepared to share..5 hours 15 miles Given the rate of 45 miles in 1.5 hours, I figured out how far Julio travels in ½ an hour. I used that information to find that Julio travels 30 miles in one hour.

money pumpkins $20 $36 $32 $28 $48 $44 $40 $24 4 Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?

Which question best describes the diagram above? A.120 is 25% of what? B.25% of 120 is what? C.6 is what percent of 120? D.120 is what percent of 25? % What is the answer to the question ?

Michael’s pumpkin farm sold 75 pumpkins on October 24. That day they made $600. What did Michael charge for each pumpkin? Which model below shows this situation? Explain A.A. B. C.

Below is Malik’s tape diagram for this problem. Do you agree or disagree? Why or why not? The Davis family visited Moran’s Apple Orchard to buy apples to make applesauce. The family paid $480 for the 12 bushels of apples they bought. How much did each bushel cost? They paid $15 per bushel.

Matthew is selling pizza for his band trip. Matt needs to raise $1220 if he wants to go for free. For each pizza that Matt sells he earns $4.00 and for every 10 pizzas he earns an addition $10. How many pizzas must Matt sell to earn a free trip?

This is a graph of a trip to Nashville, TN. How many hours did the trip take? Explain your thinking. How far had the family travelled after 1.5 hours? Explain your thinking. What was the family’s average rate of speed? Explain your thinking.

If I bought a Computer for $1, and used my 75% off coupon. How much was the computer originally?