This week your child received (will receive) the results of the first mid-module assessment in Math. You will note that in addition to assessing the responses on the written test, your child received feedback on a rubric that included both concepts and math practices. The math practices are the “habits of mind” that students need to develop when they employ math strategies, talk about math and solve problems.
The Common Core describes eight math practices that students need to develop to be effective problem solvers and ready for 21st century jobs. These eight practice standards span grades K-12. Students’ abilities in these math practices develop as opportunities are provided. Throughout the year, students will receive regular feedback on their growth, and, as they become more familiar with these practices, will also self-assess their own progress.
In this first unit, we are focusing on five of the math practices. Read below to see how each may be developed and shown within this unit.
MP.1 Make sense of problems and persevere in solving them. Students use the place value chart to draw diagrams of the relationship between a digit’s value and what it would be one place to its right, for instance, by representing 3 thousands as 30 hundreds. Students also use the place value chart to compare large numbers.
MP.2 Reason abstractly and quantitatively. Students make sense of quantities and their relationships as they use both special strategies and the standard addition algorithm to add and subtract multi-digit numbers. Students decontextualize when they represent problems symbolically and contextualize when they consider the value of the units used and understand the meaning of the quantities as they compute.
MP.3 Construct viable arguments and critique the reasoning of others. Students construct arguments as they use the place value chart and model single- and multi-step problems. Students also use a standard algorithm as a general strategy to add and subtract multi-digit numbers when a special strategy is not suitable.
MP.5 Use appropriate tools strategically. Students decide on the appropriateness of using special strategies or a standard algorithm when adding and subtracting multi-digit numbers.
MP.6 Attend to precision. Students use the place value chart to represent digits and their values as they compose and decompose base ten units.
These five, as well as the other three practice standards, will be addressed again during other units. It is important to understand that students will develop these over time.