Homework and Announcements
11/4/2019
What a week we just experienced! I hope everyone is safe and recovered from the weather and fires from last week. Because of the power outages and general craziness of the past week, I will be keeping the homework from last week open without penalty for an additional week. There will be a new assignment, but both assignments for this week and last week are relatively short. Here is a brief overview of the week ahead:
Math 6 This week we will continue working through the final sections of Comparing Bits and Pieces. We are looking to close out this unit with a unit test next week. Consider taking your notebook home to review your notes if you feel you would benefit from that extra time. Your only homework is MathXL unless you need to take home an in-class assignment to be completed on your own. We will have a short quiz this Wednesday. Keep in mind, the quiz is really just a checkpoint to see how ready you are for the test next week. Do not stress out. Math 6 - Topics Covered this week Over the course of this unit, your student has learned to use the language of ratios and to work with ratios using representations like diagrams and double number lines. In the final sections of the unit, they use tables to organize equivalent ratios. Double number lines are hard to use in problems with large amounts. Let’s think about an example we saw before: the 6th grade class is selling raffle tickets at a price of $6 for 5 tickets. If we tried to extend the double number line below to represent the price of 300 raffle tickets, it would take 5 times more paper! A table is a better choice to represent this situation. Tables of equivalent ratios are useful because you can arrange the rows in any order. Although students can choose any representation that helps them solve a problem, it is important that they get comfortable with tables because they are used for a variety of purposes throughout high school and college mathematics courses. Here is a task to try with your student: At a constant speed, a train travels 45 miles in 60 minutes. At this rate, how far does the train travel in 12 minutes? If you get stuck, consider creating a table. Solution: 9 miles. (source: Open Up Resources) Math 7 This week we will continue working through the first sections of a unit on ratios and proportions. If you recall, we left Comparing and Scaling unfinished earlier this trimester. We are going back to revisit and elaborate on that material. This is a GREAT chance for you to improve your quiz scores from those sections. If you attain higher scores in the upcoming quizzes, I will gladly honor some score replacements and I will announce that opportunity when it comes up. Your homework is MathXL. We will have a short quiz this Wednesday. This will be your first chance to earn a quiz replacement on a quiz from earlier this year. I will give more information in class. Math 7 - Topics Covered this weekThis week your student will learn about proportional relationships. This builds on the work they did with equivalent ratios in grade 6. For example, a recipe says “for every 5 cups of grape juice, mix in 2 cups of peach juice.” We can make different-sized batches of this recipe that will taste the same. The amounts of grape juice and peach juice in each of these batches form equivalent ratios. The relationship between the quantities of grape juice and peach juice is a proportional relationship. In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4. There are 0.4 cups of peach juice per cup of grape juice. Here is a task you can try with your student: Using the recipe “for every 5 cups of grape juice, mix in 2 cups of peach juice”
Solution:
|