Today's Curriculum Reinforcer deals with concepts from our Number Sense Unit. I will continue to spiral problems from this unit into our warmup activities as we dig deeper into ratios and proportions. Today's practice problems focus on identifying the Least Common Multiple (LCM) of two numbers.
During today's engagement activity, we will discuss what we have learned so far about ratios. My plan is to cover the following topics:
After discussing ratios describing the data from the Games at Recess task, we will discuss how ratios can also be used to help us analyze patterns. I will also use this PowerPoint presentation to lead students through this discussion. As we work, we will look at both part-to-part and part-to-whole comparisons.
There are two instructional tasks embedded in this PowerPoint presentation.
Both of these tasks help us to appreciate how ratios can be used to model situations where it makes sense to employ a multiplicative comparison (MP4).
Examples from the Demonstration:
I will model these examples step by step asking strategic questions to ensure understanding. Here are some of the questions that I will use:
Next I will give my students a chance to apply the ideas that we have discussed so far in the lesson (MP1). I will give my students this word problem to solve.
At the local Animal Shelter, the ratio of cats-to-dogs is typically 3-to-5. If there are currently a total of 48 cats and dogs all together, how many dogs would you expect to find at the shelter?
In order to successfully solve this problem, they will need to figure out the following:
As my students complete their exploration of the problem, I will ask them to write a sentence explaining their answer to this problem.
Since my students are likely to face different types of ratio problems on testing, I decided to break our Independent Practice into two mini practice sessions. As we begin each task I will announce the amount of time during which I expect students to complete the problems.
As students work I will be circulating and asking them the following questions:
To bring today's lesson to a close, I will first ask selected students to present their answers from the second set of practice problems to the group using the document camera. I will have chosen examples that do a particularly good job organizing their work and describing their answer (MP3 & MP6). After a few well-presented examples, we will finish with a discussion of today's Topic of the Day (TOTD). Today we will discuss why it is important to identify whether we are working with a part-to-part ratio or a part-to-whole ratio.