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5th Grade MAPs

Page history last edited by Gena Barnhill 11 months, 1 week ago

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

Develop a Deep and Flexible Conceptual Understanding 

 

Students will utilize prior knowledge of strategies and procedures to make connections between values greater than 1 and less than 1, patterns of change, expressions, equations, inequalities, and sets of data - including the range and measures of central tendency. Students will generalize prior operational strategies to larger numbers and in different contexts of mathematics. Students will expand their experiences with numerical operations to estimate and analyze the reasonableness of a solution in a variety of mathematical situations. Students will develop an understanding of how and when to apply and use the mathematics they know to solve problems.

Develop Accurate and Appropriate Procedural Fluency   

Students will develop their conceptual understanding of fractions, decimals, patterns of change, expressions, equations and inequalities, and the range and measures of central tendency 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 the addition and subtraction of fractions with unlike denominators as equivalent calculations with like denominators. Students will develop fluency in calculating sums and differences and can explain the relationship between the addition or subtraction of fractions using appropriate vocabulary.

Develop Strategies for Problem Solving   

Students will understand that problem-solving is an iterative process where they will make and test predictions in varied real-world and mathematical scenarios. 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, collaborating, and utilizing other 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   

Students will 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. The students use their understanding of shapes and measurement applying it to curves, nets, and other measures. 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   

Students will 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 

 

Students will connect place value and their prior work with operations to understand algorithms to fluently divide multi-digit numbers and perform all operations with decimals to thousandths. They explore fractional operations with visual models and begin to formulate generalizations. Fifth graders explore representing problem situations in multiple ways including numbers, mathematical language, drawing pictures, using objects, making charts, lists, or graphs, and solving equations with variables. They can create models to describe and graph patterns and structures in order to formulate rules and generalizations.

Develop the Ability to Communicate Mathematically   

Students will actively listen and communicate when collaborating with peers. They are able to defend their thinking when solving real-world and mathematical problems involving multi-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?” They continue to develop the ability to communicate why their solutions and strategies make sense. 

 

OKMath Framework Introduction

5th Grade Introduction

 

 

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