EBK MATHEMATICS FOR ELEMENTARY TEACHERS
5th Edition
ISBN: 9780134506609
Author: Beckmann
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Textbook Question
Chapter 7.2, Problem 6P
Explain how to solve parts a—d of Problem 5 by reasoning about multiplication and division with quantities from the variable-parts perspective. Use a strip diagram as support.
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Refer to page 100 for problems on graph theory and linear algebra.
Instructions:
•
Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors.
• Interpret the eigenvalues in the context of graph properties like connectivity or clustering.
Discuss applications of spectral graph theory in network analysis.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]
Refer to page 110 for problems on optimization.
Instructions:
Given a loss function, analyze its critical points to identify minima and maxima.
• Discuss the role of gradient descent in finding the optimal solution.
.
Compare convex and non-convex functions and their implications for optimization.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]
Refer to page 140 for problems on infinite sets.
Instructions:
• Compare the cardinalities of given sets and classify them as finite, countable, or uncountable.
•
Prove or disprove the equivalence of two sets using bijections.
• Discuss the implications of Cantor's theorem on real-world computation.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]
Chapter 7 Solutions
EBK MATHEMATICS FOR ELEMENTARY TEACHERS
Ch. 7.1 - Use the multiple-batches perspective to discuss...Ch. 7.1 - Use the variable-parts perspective to discuss and...Ch. 7.1 - John is driving at a constant speed of 10 miles...Ch. 7.1 - You can make grape juice by mixing 1 can of frozen...Ch. 7.1 - Use ratio tables to determine in two ways which of...Ch. 7.1 - Explain how to reason about ratio tables to...Ch. 7.1 - Allie, Benton, and Cathy are planning to mix red...Ch. 7.1 - Company A charges $6 for every 100 silly bands....Ch. 7.1 - You can make a pink paint by mixing 212 cups white...Ch. 7.2 - Walking at a constant speed, a person walks 34 of...
Ch. 7.2 - In a terrarium, the ratio of grasshoppers to...Ch. 7.2 - At a zoo, the ratio of king penguins to emperor...Ch. 7.2 - On a farm, the ratio of grey goats to white goats...Ch. 7.2 - An orange-lemon juice mixture can be made by...Ch. 7.2 - Explain how to solve parts a—d of Problem 5 by...Ch. 7.2 - Fertilizer problem: A type of fertilizer is made...Ch. 7.2 - Brad made some punch by mixing 12 cup of grape...Ch. 7.2 - To make grape juice by using frozen juice...Ch. 7.2 - You can make a soap bubble mixture by combining 2...Ch. 7.2 - You can make concrete by mixing 1 part cement with...Ch. 7.2 - Marge made light blue paint by mixing 212 2 cups...Ch. 7.2 - A batch of lotion was made at a factory by mixing...Ch. 7.2 - If a 34 cup serving of snack food gives you 60% of...Ch. 7.2 - If $6000 is 75% of a company’s budget for a...Ch. 7.2 - Amy mixed 2 tablespoons of chocolate syrup in 34...Ch. 7.2 - A 5-gallon bucket filled with water is being...Ch. 7.2 - Explain how to reason about quantities to solve...Ch. 7.2 - * The ratio of Frank’s marbles to Huang’s marbles...Ch. 7.2 - * Asia and Taryn each had the same amount of...Ch. 7.2 - * An aquarium contained an equal number of...Ch. 7.3 - A company mixes different amounts of blue paint...Ch. 7.3 - A company mixes different amounts of grape and...Ch. 7.3 - a. Which of the following two mixtures will have a...Ch. 7.3 - a. Snail A moved 6 feet in 7 hours. Snail B moved...Ch. 7.3 - A dough recipe calls for 3 cups of flour and 114...Ch. 7.3 - A recipe that serves 6 people calls for 112 cups...Ch. 7.3 - Explain how to reason with unit rates to solve the...Ch. 7.3 - Buttercup the gerbil drinks 23 of a bottle of...Ch. 7.3 - If you used 212 truck loads of mulch for a garden...Ch. 7.3 - If 212 pints of jelly filled 312 jars, then how...Ch. 7.3 - * A standard bathtub is approximately 412 feet...Ch. 7.4 - Goblin Green Paint is made by mixing blue and...Ch. 7.4 - Aqua Regia is an acid that can dissolve gold. It...Ch. 7.4 - A type of dark chocolate is made by mixing cocoa...Ch. 7.4 - A type of chemical solution is 6% sodium chloride...Ch. 7.4 - As in the text, consider biodiesel and petrodiesel...Ch. 7.4 - Peacock Purple Paint is made by mixing red paint...Ch. 7.4 - A company mixes fertilizer and soil in a 4 to 9...Ch. 7.4 - Consider ramps whose length and height are in the...Ch. 7.4 - Consider the line through the origin and the point...Ch. 7.4 - A company makes mixtures of acetic acid and water...Ch. 7.5 - Suppose that 6 people can stuff flyers into 500...Ch. 7.5 - Make up two examples of relationships between two...Ch. 7.5 - A Sewing Problem: If 10 workers take 8 hours to...Ch. 7.5 - A Driving Problem: Driving at 50 mph, you covered...Ch. 7.5 - For each of the following relationships, determine...Ch. 7.5 - Suppose that you have two square garden plots: One...Ch. 7.5 - If a crew of 3 people takes 212 hours to clean a...Ch. 7.5 - If you can rent 5 DVDs for 5 nights for $5, then...Ch. 7.5 - If 6 people take 3 days to dig 8 ditches, then how...Ch. 7.5 - * A candy factory has a large vat into which...Ch. 7.5 - * Jay and Mark run a lawn-mowing service. Mark’s...Ch. 7.5 - * If liquid pouring at a steady rate from hose A...Ch. 7.5 - * Suppose that there are 400 pounds of freshly...Ch. 7.6 - Last year, the population of South Skratchankle...Ch. 7.6 - Last year’s sales were $7.5 million. This year’s...Ch. 7.6 - Jayna and Lisa are comparing the prices of two...Ch. 7.6 - Are the two problems that follow solved in the...Ch. 7.6 - The price of play equipment for the school has...Ch. 7.6 - How much should Swanko Jewelers charge now for a...Ch. 7.6 - If sales taxes are 7%, then how much should you...Ch. 7.6 - Connie and Benton bought identical plane tickets,...Ch. 7.6 - Of the five statements that follow, which have the...Ch. 7.6 - Explain the difference between a 150% increase in...Ch. 7.6 - Every week, DollarDeals lowers the price of items...Ch. 7.6 - * The SuperDiscount store is planning a “35%-off...Ch. 7.6 - * One box of cereal contains 12% more cereal than...Ch. 7.6 - * One box of cereal contains 25% more cereal than...Ch. 7.6 - * In a box of chocolate candies, 40% of the...Ch. 7.6 - * In a box of chocolate candies, 30% of the...Ch. 7.6 - * There are two elementary schools in a county....Ch. 7.6 - * There are two middle schools in a county. The...Ch. 7.6 - * One school had 10% more children than another...Ch. 7.6 - * Sue and Tonya started the same job at the same...Ch. 7.6 - * Suppose that the sales tax is 7%, and suppose...Ch. 7.6 - * A dress is marked down 25%, and then it is...Ch. 7.6 - * Frank’s Jewelers runs the following...Ch. 7.6 - * The following information about two different...Ch. 7.6 - * According to the 2000 Census, from 1990 to 2000...Ch. 7.6 - * In 2000, Washington County had a total...
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