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5th Grade MAPs

Page history last edited by Robbyn Glinsmann 3 years, 7 months ago Saved with comment

Throughout their Pk-12 education experience, mathematically literate students will:

Develop a Deep and Flexible Conceptual Understanding 

 
pull from prior experiences and knowledge to choose strategies and procedures to access real world math problems involving fractions and decimals and other grade work content. They solve problems involving decimals and fractions by applying their understanding of operations with whole numbers.They strategize and problem solve when engaging in  real world explorations of volume and graphing patterns.   They also use prior knowledge to predict what kind of solution to expect in order to evaluate the reasonableness of their answers. They ask themselves probing questions while problem-solving to check their thinking and understanding.
Develop Accurate and Appropriate Procedural Fluency   
draw upon their conceptual understanding to choose strategies and procedures that are appropriate for the mathematical situation.  Fifth grade students apply their understanding of fractions and fraction models to represent addition and subtraction of fractions with unlike denominators as equivalent calculations with like denominators. They develop fluency in calculating sums and differences of fractions and make reasonable estimates of them. Students also use the meaning of fractions, addition, and subtraction, and the relationship between addition and subtraction to understand and explain why the procedures for adding and subtracting fractions make sense.
Develop Strategies for Problem Solving   
make and test predictions in varied real-world mathematical problems.  They will recognize when an adaptation is needed, and check and justify their solution.  They may problem solve by drawing pictures, guessing and checking, acting out, working backward or utilizing other invented strategies.  They will routinely be able to develop and test more than one strategy to find solutions, and will identify when multiple solutions to a real world problem are possible.  They may check their thinking by asking themselves, “What is the most efficient way to solve the problem?”, “Does this make sense?”, and “Can I solve the problem in a different way?”
Develop Mathematical Reasoning   
identify efficient methods to find solutions to problems where no clear-cut strategy is evident and ask questions to deepen understanding. They extend their understanding from whole numbers to their work with fractions and decimals. They actively examine the work of peers, asking clarifying questions in order to constructively critique the strategies.  They will engage in and create real world mathematical problems and recognize when particular strategies, methods, and algorithms will aid in a solution.
Develop a Productive Mathematical Disposition   
recognize that math is evident in everyday life and apply mathematical thinking and problem solving in other areas of academics and outside of the classroom.  They actively engage in critical thinking and view struggle as part of the process.  They are willing to take chances, adapt, revise plans and persevere, until at least one solution is found.   When composing and decomposing numbers and shapes and working within grade level content, they investigate, describe and draw logical conclusions aiding in the development of a bank of strategies to utilize when embarking on the problem-solving process.

Develop the Ability to Make Conjectures, Model, and Generalize 

 
connect place value and their prior work with operations to understand algorithms to fluently multiply multi-digit numbers and perform all operations with decimals to hundredths. They explore operations with fractions with visual models and begin to formulate generalizations.  Fifth graders explore representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, making  charts, lists, or graphs, and creating equations.   They use these models to recognize patterns and structures in order to formulate rules and generalizations.
Develop the Ability to Communicate Mathematically   
actively listen and communicate when collaborating with peers. They are able to defend their thinking when solving real world problems involving three digit division, rational numbers, geometrical solids, data and other grade level concepts.  While collaborating they respectfully critique others' strategies, ideas and solutions by asking questions like “How did you get that”” and “Why is that true?”

 

OKMath Framework Introduction

5th Grade Introduction

 

 

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