Grades 4 – 8 Samples Day 2 Which of these do you think are good lesson consolidating questions? Be ready to discuss your choices and what big ideas you think your good choices bring out. Grade 4: Expectation: Compare and order fractions to the benchmarks of 0, ½ and 1 Question: Put these fractions in order from least to greatest: 2 1 2 , , , 3 10 3 5 1 and . 6 4 1 . If I told you the denominator, 3 how would you figure out the numerator? If I told you the numerator, how would you figure out the denominator? Question: A fraction is pretty close to Question: How do you know that 4 1 is closer to than to 0? 10 2 Grade 5: Expectation: Demonstrate an understanding of simple multiplicative relationships involving whole-number rates, through investigation using concrete materials and drawings. Question: If two books cost $6, how much would eight books cost? How do you know? Question: If you know that three books cost $5, what other numbers of books would be easier for you to figure out the price of? What numbers would be harder for you? Why? Question: Liisa has over 100 nickels. She is going to trade them all for quarters. What do you know about how many quarters she will have? How do you know that? Math Camppp 2010 Grade 6: Expectation: Represent ratios found in real-life contexts using concrete materials, drawings, and standard fractional notation Question: In the video game club, there are 8 boys and 2 girls. What fraction of the students in the club are girls? Question: In a classroom, there are 8 boys and 12 girls. Represent the ratio 8:12 two different ways. Which way makes it easier to see that more than half the class are girls? Question: A package has 8 red balloons and 2 blue ones. Represent the ratio 8:2 using red and blue counters. Grade 7: Expectation: Solve problems that involve determining whole number percents, using a variety of tools Question: Bag A has 20 marbles; 5 of them are blue. Bag B has 25 marbles; 6 of them are blue. Would it be useful to figure out the percent of blue in each bag to decide whether you are more likely to pick blue from Bag A or Bag B? Explain. Question: If there are 5 blue marbles in a bag of 20 marbles, what percent of the marbles are not blue? Question: If there are 5 blue marbles in a bag of 28 marbles, is the percent of blue marbles more or less than 20%? How do you know? Grade 8: Expectation: Solve problems involving rates Question: A pack of 24 CDs costs $7.99. A pack of 50 CDs costs $10.45. What is the best way to buy 130 CDs? Question: A store has a sign that says “6 CDs for $1.98.” What other signs could they put up that really give the same information? Which of those signs do you think is most useful? Why? Question: Which is a better buy—24 CDs for $7.99 or 15 CDs for $5.19? Math Camppp 2010
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