This learning progression will be applied in a 7th grade mathematics classroom. The textbook being used throughout it will be; Core Connections – Course 2, by Dietiker, Kysh, Sallee & Hoey, specifically lessons 5.2.3-5.2.5. The common core state standards aligning with the lessons in the progression are:
- CCSS.MATH.CONTENT.7.SP.C.8.A
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. - CCSS.MATH.CONTENT.7.SP.C.8.B
Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event. - CCSS.MATH.CONTENT.7.SP.C.8.C
Design and use a simulation to generate frequencies for compound events.
The following standards for mathematical practice are also included in the progression: MP1: Make sense of problems and persevere in solving them, MP4: Model with mathematics, MP5: Use appropriate tools strategically.
Multiple formative assessment techniques will be implemented in the progression to help students be more aware of their understanding and comprehension in relation to each of the standards and learning targets. Students are going to use learning logs throughout the learning progression and record personal entries summarizing their own understanding of the learning targets relative to each lesson. Also, exit slips/hinge questions will be used at the conclusion of each of the first two lessons of the progression as pre-cursors towards the next.
A sample instructional task that will be taking place in this progression is constructing probability tables through the use of an interactive game that students are sure to love! Attached is the complete learning progression including a narrative and complete activities/assessment tasks.