4th Grade MAPs

Develop a Deep and Flexible Conceptual Understanding 

Students will continue building upon their knowledge of basic multiplication facts up to factors of 12 and begin connecting the relationships of multiplication and division, multi-digit multiplication, and long division. They will apply their knowledge of operations while modeling and establishing when a specific operation is appropriate. Students will make connections between fractions and decimals using numeracy tools, manipulatives, and visual models. They will also engage in the exploration of angles, line segments, rays, lines, and quadrilaterals making connections between the characteristics. 

Students will demonstrate fluency with multiplication and division facts with factors up to 12. They will appropriately and accurately find solutions while modeling problems using both basic and multi-digit equations including addition, subtraction, multiplication, and division. They will read and write fractions and decimals up to hundredths and use fractional models when applying operational thinking. 

Students will recognize multiple entry points and identify logical steps when solving multi-step equations. They will generalize and apply strategies to find solutions. They are encouraged to visualize their thinking by creating mathematical models. They analyze the problem, select a strategy to solve, justify and contextualize their answer. Students recognize that there can be multiple ways to justify an answer with numbers, words, pictures, symbols, charts, graphs, etc. Students understand that problem-solving is an iterative process; If their representation does not make sense, they re-evaluate and try another strategy.

Students will monitor their own work, make adjustments as needed to reach a logical solution,  and communicate their findings. They will evaluate other students’ work while comparing it to their own thoughts and justifications. They use their reasoning to evaluate the validity of an answer and consider if there is a better way to solve the problem.

Students will recognize that math skills such as decimals, fractions, and geometric patterns are part of their everyday life. They begin to see the usefulness of mathematics in other contexts as well. They will view struggle as part of the problem-solving process, understanding the importance of perseverance and active engagement to reach solutions that make sense.

Develop the Ability to Make Conjectures, Model, and Generalize 

Students will use graphs, tables, pictures, words, and symbols to strategize and determine the most efficient strategies while problem-solving. They will use past experiences to make conjectures about current scenarios.  Students will make generalizations about the powers of 10 and use them to help estimate and reason. They will create input/output tables and other graphs and charts to recognize patterns and express them in writing as well as verbally. They will develop their ability to make their thinking visible by creating models that make sense of the mathematics. 

Students will use appropriate vocabulary regarding measurement, data, time, decimals, money, fractions, multi-digit multiplication, and division when solving problems and justifying their answers. Communicating mathematically is a powerful way for students to contextualize their answers and determine if they need to readjust their thinking and connect with the ideas of peers to move their learning forward.