Hello Cluster 3 Families!
We finished Unit 5 on Friday with our end of unit test. Students will get their grades back this week, with the opportunity to retake it on Friday if they choose too.
Our next unit will be focused on algebra with expressions, equations, inequalities.
Unit 6: Expressions, Equations, and Inequalities
In this unit, students extend what they learned in Grade 6 about solving one-step equations to solve equations of the form `px+q=r` and `p(x+q)=r`, and equations that include expanding, factoring, or adding terms. Students also solve inequalities and graph their solutions on a number line.
Section 1: Equations and Tape Diagrams (Lessons 1–4)
Students use tape diagrams to represent equations and situations in context and to determine unknown values. This builds on students’ work with tape diagrams in Grade 7, Unit 4 and with determining unknown values in equations in Grade 7, Unit 5.
Lesson 1 builds on students’ understanding of proportional relationships from Unit 2 as they determine unknown values in the relationship between a shape and the number of toothpicks and tiles that border it. This lesson introduces students to relationships that are predictable but not proportional.
Lesson 2 invites students to use tape diagrams to make sense of the types of relationships from Lesson 1 and to determine unknown values in the context of smudged receipts.
Lesson 3 connects tape diagrams to equations of the form `px+q=r` and `p(x+q)=r` as students connect both of these representations to descriptions of situations in context.
Lesson 4 is an opportunity for students to put together everything they have learned in this section, focusing on the structure of situations, equations, and tape diagrams. This understanding of structure will support students as they solve equations more formally in Section 2.
