In this lesson, we’ll introduce the concept of distributive property for `7`th graders with a warm-up that will allow students the opportunity to visualize a few representations for the distributive property by seeing what is the same and different between representations. Students will explore how the representations all end up with the same answer. You can expect this lesson with practice to take one `45`-minute class period.
ByteLearn gives students targeted feedback and hints based on their specific mistakes
Students will be able to apply the distributive property by expanding.
Start the lesson on slide `1` of the teacher slideshow by giving students a warm-up on identifying what is the same or different between the three given representations. This is a link to the warm-up.
Copy these Google Slides for free
Here are some points that are likely to come up:
This exercise is a great way to gauge student understanding and builds on their knowledge of distributive property developed in `6`th grade.
The first problem looks at using the distributive property with a negative factor outside the parentheses. This builds on their skills of multiplying signed numbers.
Usually students are quite successful in expanding this expression. Move onto slide `2` where students will see an expression where the term is negative and the operation is subtraction. We are deliberately using the word “Simplify” to make students familiar with this term in this context.
Students are likely to come up with answers like `-6a - 15b` or `-6a - (-15b)` and, of course `-6a + 15b`. You are likely to have a conversation about which is the right answer. Have students explain to each other which makes the most sense. Acknowledge that `-6a - (-15b)` is equivalent but is not in the simplest form.
Students will develop their own ways of applying the distributive property. Some will want a process that they can refer to in the future. Share this slide with them.
Some students might benefit from having an area model template always accessible. Over time, they are likely to stop using them but it is great tool for conceptual understanding and accurately applying the distributive property.
In one last example that you do as a class, introduce a problem with just a negative sign as parentheses. Let students try it on their own.
I have heard two different explanations from students. Encourage students to adopt whatever makes sense to them.
After students have completed their lesson, it’s time for some independent practice! ByteLearn gives you access to tons of distributive property by expanding activities. Check out the online practice and assign them to your students for classwork and/or homework!
View this practice