Materials: Engagement Make sense of problems and persevere in solving them. Exploration Reason abstractly and quantitatively. Preparation: Explanation Complete each of the homework problems in advance in order to Construct viable arguments Extension determine where the students may have questions as well as to and critique the reasoning determine how one might easily use one of the three methods for of others. Evaluation solving the systems of equations. Model with mathematics. Facilitation of Learning Experience: Allow students time to work independently. If they really struggle and Use appropriate tools are unable to set problems up or solve for the unknown variables than strategically. guidance should be given. Do not solve any of the problems for the Attend to precision. students. This is the time they should think for themselves and determine the best course of action to take in order to properly solve for Look for and make use of the unknown variables. structure. Look for and express regularity in repeated reasoning.
Engagement Exploration Explanation Extension Evaluation Materials: Preparation: Complete each of the homework problems in advance in order to determine where the students may have questions as well as to determine how one might easily use one of the three methods for solving the systems of equations. Facilitation of Learning Experience: Allow students time to work independently. If they really struggle and are unable to set problems up or solve for the unknown variables than guidance should be given. Do not solve any of the problems for the students. This is the time they should think for themselves and determine the best course of action to take in order to properly solve for the unknown variables. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.