Along with addition, subtraction, geometry, and measurement, the Common Core Standards include "Mathematical Practice" skills which students are expected to integrate into their mathematical understanding. Fortunately, the Investigations math curriculum that my school uses incorporates a number of these mathematical practices into daily lessons. Students are regularly encouraged to make sense of of problems, reason abstractly, construct arguments and critique the reasoning of others, and use tools appropriately.
Another component of the Common Core Math Standards (in K-2) are the "Common Addition and Subtraction Situations." These story problem types require students to think critically and demonstrate deep understanding around operations and the equal sign. Given that most of the math that we encounter in real life is in the form of a "story problem" (not straight adding or subtracting), it's important for young mathematicians to get experience reasoning and solving different problem situations.
A few years ago, I created a tool to assess students' mastery of the common addition and subtraction situations. I discovered that the format I used also provided me with valuable information about students' ability to employ many of the mathematical practice standards as well. For the past two years, I've given this assessment two or three times throughout the year, and they are always my favorite days in math class!
The assessment is a series of "steps" which each include two story problems; the steps gradually increase in complexity and number size. I set the assessment up as a challenge, as a game -- I start each kiddo at Step 1 and give them the opportunity to move up the ladder to Step 2, Step 3, etc.. I explain that they can use whatever materials they need to help them solve the problems.
As the kiddos work, I observe how they select and use tools, reason logically, and persevere through each step. It's amazing to see how the kiddos push themselves to take on more challenging problems. (It's also interesting to note which students give up quickly, get frustrated, or struggle to make sense of the problems.) Even if they do not get the previous problems correct, I allow them to keep going if they want to attempt the next step. They are so proud of themselves for tackling each step!
I use the information I gather to differentiate story problem sets and math games, and also to plan small groups to work on specific problem types. It's great to give an assessment that kiddos love to take and truly informs my instruction!
** Get your own copy of my "Math Steps" on TpT!
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