## 5TH Grade Math Curriculum

In fifth grade, students will develop proficiency in conceptual understanding, application, procedural skills, and fluency through the use of the

We follow the

* Writing and interpreting numerical expressions.

* Analyzing patterns and relationships.

* Understanding the place value system.

* Performing operations with multi-digit whole numbers and decimals to the hundredths.

* Using equivalent fractions as a strategy to add and subtract fractions.

* Applying and extending previous understandings of multiplication and division to multiply and divide fractions.

* Convert like measurement units within a given measurement system.

* Represent and interpret data.

* Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

* Graph points on the coordinate plane to solve real-world and mathematical problems.

* Classify two-dimensional and three-dimensional figures into categories based on their properties.

* Using mathematical vocabulary.

* Understand ratio concepts and use ratio reasoning to solve problems.

* Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

* Compute fluently with multi-digit numbers and find common factors and multiples.

* Apply and extend previous understandings of numbers to the number system of rational numbers.

* Apply and extend previous understandings of arithmetic to algebraic expressions.

* Reason about and solve one-variable equations and inequalities.

* Represent and analyze quantitative relationships between dependent and independent variables.

* Solve real-world and mathematical problems involving area, surface area, and volume.

* Develop an understanding of statistical variability.

* Summarize and describe distributions.

The

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively

3. Construct viable arguments and critique the reasoning of others

4. Model with mathematics

5. Use appropriate tools strategically

6. Attend to precision

7. Look for and make use of structure

8. Look for an express regularity in repeated reasoning

While achieving the math standards, focus will also be placed on the following

* Develop the mental habits of precise, determined, careful, and accurate questioning, inquiry, and reasoning.

* Develop lines of inquiry (as developmentally appropriate) to understand why things are true and why they are false.

* Recognize the power of the human mind as both a gift from God and a reflection of Him in whose image and likeness we are made.

* Survey the truths about mathematic objects that are interesting in their own right and independent of human opinions.

For more information about the Diocese of Joliet Standards for Mathematics, please download the document below.

**Prentice Hall Mathematics****, Course 1 Series.**

We follow the

**Diocese of Joliet Mathematical Standards**Curriculum which are aligned with the Common Core State Standards. The math standards include:* Writing and interpreting numerical expressions.

* Analyzing patterns and relationships.

* Understanding the place value system.

* Performing operations with multi-digit whole numbers and decimals to the hundredths.

* Using equivalent fractions as a strategy to add and subtract fractions.

* Applying and extending previous understandings of multiplication and division to multiply and divide fractions.

* Convert like measurement units within a given measurement system.

* Represent and interpret data.

* Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

* Graph points on the coordinate plane to solve real-world and mathematical problems.

* Classify two-dimensional and three-dimensional figures into categories based on their properties.

* Using mathematical vocabulary.

* Understand ratio concepts and use ratio reasoning to solve problems.

* Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

* Compute fluently with multi-digit numbers and find common factors and multiples.

* Apply and extend previous understandings of numbers to the number system of rational numbers.

* Apply and extend previous understandings of arithmetic to algebraic expressions.

* Reason about and solve one-variable equations and inequalities.

* Represent and analyze quantitative relationships between dependent and independent variables.

* Solve real-world and mathematical problems involving area, surface area, and volume.

* Develop an understanding of statistical variability.

* Summarize and describe distributions.

The

**Standards of Mathematical Practice**will also be utilized to reach a more advanced mathematical understanding.1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively

3. Construct viable arguments and critique the reasoning of others

4. Model with mathematics

5. Use appropriate tools strategically

6. Attend to precision

7. Look for and make use of structure

8. Look for an express regularity in repeated reasoning

While achieving the math standards, focus will also be placed on the following

**Catholic standards**:* Develop the mental habits of precise, determined, careful, and accurate questioning, inquiry, and reasoning.

* Develop lines of inquiry (as developmentally appropriate) to understand why things are true and why they are false.

* Recognize the power of the human mind as both a gift from God and a reflection of Him in whose image and likeness we are made.

* Survey the truths about mathematic objects that are interesting in their own right and independent of human opinions.

For more information about the Diocese of Joliet Standards for Mathematics, please download the document below.

Diocese of Joliet - Standards for Mathematics Curriculum.pdf | |

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