HOW are percent diagrams used to solve real-world problems?

Slides:



Advertisements
Similar presentations
Common Core Mathematical Practices. People who are good in math… Make sense of problems.
Advertisements

Standards for Mathematical Practice
Mathematical Practices 1.Make sense of problems and persevere in solving them. 2.Reason abstractly and quantitatively. 3.Construct viable arguments and.
Use the determine reasonable answers strategy to solve Exercises 1–4.
Use with Lesson 8 MAFS.7.RP.1.3 Course 2, Lesson 2-8 Mathematics Florida Standards – Mathematics, numbering and wording from Find the sale.
MCC 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. MCC 7.EE.2.
Course 2, Lesson 2-8 Find the sale price to the nearest cent. 1. $120 jacket; 30% discount 2. $10,500 car; 10% discount 3. $35 sweater; 18% discount; 3%
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.
Course 2, Lesson 1-1 Find the mean, median, and mode for each data set. Round to the nearest tenth if necessary. 1. number of cars in household: 1, 3,
Course 2, Lesson 1-2 Find each unit rate. Round to the nearest hundredth if necessary. 1. $3.99 for 16 ounces miles in 14 hours 3. $28 for 15 goldfish.
Course 2, Lesson 2-5 Use the determine reasonable answers strategy to solve Exercises 1–4. 1. If the speed limit is 65 miles per hour, what is a reasonable.
Write an integer for each situation. 1. stock market down 56 points
Course 2, Lesson 2-3 Estimate % of % of % of % of Twenty-two percent of the seventh-grade class at Santa Ana Middle.
1. $100 dinner; 20% gratuity 2. $12,300 car; 5% sales tax
Course 2, Lesson 2-6 Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or.
3. What is the constant of variation of the linear function. Pay $15
Course 2, Lesson 1-3 Simplify On her last science test, Maria answered of the questions incorrectly. Write as a fraction in simplest form.
Solve each inequality. Graph the solution set on a number line.
Course 2, Lesson 4-6 Use the draw a diagram strategy to solve Exercises The Rockwells have driven 180 miles, which is about of the way to their.
Course 2, Lesson 4-2 Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal Write each decimal.
the right? Round to the nearest tenth.
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.
Course 2, Lesson 7-5 Find the length of each object on a scale drawing with the given scale. Then find the scale factor. 1. a subway car 34 feet long;
Find the volume of each pyramid. Round to the nearest tenth.
Find the area of each circle. Round to the nearest tenth. Use 3
Use the solve a simpler problem strategy to solve Exercises 1–3. 1. Mr. Cole decided to build a deck around his swimming pool. His pool is 25 feet by 10.
A ten-sided number cube with the numbers 1–10 on it is rolled. Find the probability of each event. Write each answer as a fraction. 1. P(3) 2. P(1 or 2)
Course 2, Lesson 7-6 Draw a top, a side, and a front view of the solid. 1. Draw the solid using the top, side, and front views shown. Use isometric dot.
HOW can bar diagrams or algebra tiles help you solve an equation?
Solve by using a graph. 1. A carpet cleaner charges $25 per room cleaned. Predict the cost of having 5 rooms cleaned. 2. The table shows the number of.
Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices Course 2, Lesson 8-1.
1. Construct a double box plot for the data in the table. Then compare the heights of the LA Lakers to the heights of the NY Knicks. 2. Candice used a.
HOW is compound interest different from simple interest? Ratios and Proportional Relationships Course 2, Inquiry Lab after Lesson 2-8.
5. Thirteen percent of the profits from Kendall’s business are
Find the surface area of each rectangular prism. Round to the nearest tenth if necessary Find the surface area of a rectangular prism that has.
Find the radius or diameter of each circle with the given dimensions. 1. d = 6 cm 2. r = 11 ft Find the circumference of each circle. Use 3.14 for π. Round.
1. Akira earns $20 for every dog he washes. 2.
Find the surface area of each pyramid. Round to the nearest tenth.
Expressions and Equations
Solve. 1. A survey of high school students showed that 63% of students planned to take college courses after graduation. Predict how many of the 837 students.
Solve each inequality. Check your solution. 1. –3x ≥ k > 300 Solve each inequality. Graph the solution set on a number line. 4. 4p + 3 ≤ –1 5.
HOW is percent used to solve real-world problems? Ratios and Proportional Relationships Course 2, Inquiry Lab before Lesson 2-3.
Course 2, Lesson 7-4 Use the make a model strategy to solve Exercises 1 and 2. A 15-inch by 20-inch piece of poster board has a 3.5-inch square cut out.
Course 2, Lesson 2-2 Find each number. Round to the nearest tenth if necessary % of % of % of % of $ % of
Equations & Expressions Toy Trains!. Teacher Stuff Grade 7 Expressions & Equations 7.EE.3 Solve multi‐step real‐life and mathematical problems posed with.
Course 2, Lesson 1-7 Solve each proportion Solve. Assume all situations are proportional. 3. For every 4 students, 3 like peanut butter and jelly.
Solve each inequality. Graph the solution set on a number line. 1. 3a + 3 < y + 2 > –22 3. –5m – 5 ≤ Ann has only $10 to spend on carnival.
Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.
Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.
Compare and order integers Find the absolute value of an expression Lesson 2-1 Rational Numbers and Exponents.
HOW can a bar diagram or algebra tiles help you solve a real-world problem? Course 2, Inquiry Lab before Lesson 6-4 Expressions and Equations.
Evaluate each expression if a = 3, b = 7, and c =
How can you use numbers and symbols to represent mathematical ideas?
Use the guess, check, and revise strategy to solve each exercise.
Write each decimal as a fraction or mixed number in simplest form.
Find the value of x in each triangle
Use the four-step plan to solve each problem.
Lesson 1.3 Variables and Expressions (Glencoe book)
Evaluate each expression. Round to the nearest tenth if necessary.
Find the reciprocal of each number
Bellwork: 2/12/18 (Block 3) Use the look for a pattern strategy to solve Exercises 1–3. 1. In a stadium, there are 10 seats in the 1st row, 13 seats in.
2. Jack practiced dribbling a soccer ball for of his total
Percents and Proportions Unit Day One, Two and Three
Multiply. Write in simplest form
Estimate each product. Use a bar diagram if needed
Multiply. Write in simplest form
Multiply. Write in simplest form
Solve each inequality. Graph the solution set on a number line.
HOW is an inequality like an equation? How is it different?
Solve each inequality. Check your solution. 1. –3x ≥ 9 2.
Presentation transcript:

HOW are percent diagrams used to solve real-world problems? Ratios and Proportional Relationships HOW are percent diagrams used to solve real-world problems? Course 2, Inquiry Lab before Lesson 2-1

Mathematical Practices Ratios and Proportional Relationships 7.RP.3 Use proportional relationship to solve multistep ratio and percent problems. 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Course 2, Inquiry Lab before Lesson 2-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Ratios and Proportional Relationships One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? The bar diagram represents 100% of the class. Shade the bar diagram to show that or % of the class chose guitar as their favorite instrument.   100% ------ %-- Activity 1 Continued  Course 2, Inquiry Lab before Lesson 2-1

----------------------- 24 students ----------------------- Ratios and Proportional Relationships One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? There are students in Mrs. Singh’s music class. Divide the number of students equally into 4 sections. Fill in the number in each section. ----------------------- 24 students -----------------------   100% ---- %--- So, students chose guitar as their favorite musical instrument. Activity 1 Continued  Course 2, Inquiry Lab before Lesson 2-1

Supply the missing information for the second bar. Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Supply the missing information for the second bar.   percent 100%   students total students Activity 2 Continued  Course 2, Inquiry Lab before Lesson 2-1

Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Divide each bar into ten equal parts. Write 10% in each section of the first bar.   percent 10% 100%   students total students Activity 2 Continued  Course 2, Inquiry Lab before Lesson 2-1

Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Determine what number to write in each section of the second bar. Fill in that number. percent   10% 100%   students total students Activity 2 Continued  Course 2, Inquiry Lab before Lesson 2-1

Shade 60% of the first bar and an equal amount on the second bar. Ratios and Proportional Relationships There are 500 seventh-grade students at Heritage Middle School. Sixty percent of them play a musical instrument. How many seventh-grade students play a musical instrument? Shade 60% of the first bar and an equal amount on the second bar.   percent 10% 100%   students students ------------ ------------- Since % corresponds to 6 sections, count the number of students in 6 sections. There are seventh-grade students who play a musical instrument. Course 2, Inquiry Lab before Lesson 2-1

HOW are percent diagrams used to solve real-world problems? Ratios and Proportional Relationships HOW are percent diagrams used to solve real-world problems? Course 2, Inquiry Lab before Lesson 2-1