## 4th Grade Math Curriculum

In fourth grade, students will develop proficiency in conceptual understanding, computational, and procedural skills, and problem-solving ability through the use of the

We follow the

• Using the four operations (addition, subtraction, multiplication, division) with whole numbers to solve problems.

• Gaining familiarity with factors and multiples.

• Generating and analyzing patterns.

• Generalizing place value understanding for multi-digit whole numbers.

• Using place value understanding and properties of operations to perform multi-digit arithmetic.

• Extending understanding of fraction equivalence and ordering.

• Building fractions from unit fractions.

• Understanding decimal notation for fractions, and comparing decimal fractions.

• Solving problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

• Representing and interpreting data.

• Understanding concepts of angle and measuring angles in geometric measurement.

• Drawing and identifying lines and angles, and classifying shapes by properties of their lines and angles.

• Using mathematical vocabulary.

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 and 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 mathematical objects that are interesting in their own right and independent of human opinions.

Students will be given two minutes to answer sixty facts.

The breakdown of the timed tests is as follows:

(

* Multiplication facts: 2

* Multiplication facts: 3

* Multiplication facts: 4

* Multiplication facts: 5

* Multiplication facts: 6

* Multiplication facts: 7

* Multiplication facts: 8

* Multiplication facts: 9

* Multiplication facts: 10

* Multiplication facts: 11

* Multiplication facts: 12

* Mixed Multiplication #1

* Mixed Multiplication #2

If a student completes all required Timed Tests, they will be challenged with multi-digit multiplication problems, multi-operational division problems, fraction problems, and word problems.

For more information about the Diocese of Joliet Standards for Mathematics, please download the document located at the bottom of the page.

**McGraw-Hill**series. This curriculum was specifically written for the Common Core State Standards (CCSS) and diagnoses prerequisite skills, monitors progress and provides a variety of summative evaluations.*My Math**My Math*presents hands-on modeling approaches and encourages higher-order thinking. McGraw-Hill offers information and activities at their website http://connected.mcgraw-hill.com/We follow the

**Diocese of Joliet Mathematical Standards Curriculum**for Fourth Grade Math which are aligned with the Common Core State Standards. The standards include:• Using the four operations (addition, subtraction, multiplication, division) with whole numbers to solve problems.

• Gaining familiarity with factors and multiples.

• Generating and analyzing patterns.

• Generalizing place value understanding for multi-digit whole numbers.

• Using place value understanding and properties of operations to perform multi-digit arithmetic.

• Extending understanding of fraction equivalence and ordering.

• Building fractions from unit fractions.

• Understanding decimal notation for fractions, and comparing decimal fractions.

• Solving problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

• Representing and interpreting data.

• Understanding concepts of angle and measuring angles in geometric measurement.

• Drawing and identifying lines and angles, and classifying shapes by properties of their lines and angles.

• Using mathematical vocabulary.

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 and 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 mathematical objects that are interesting in their own right and independent of human opinions.

**Fourth graders will also take Multiplication and Division timed tests.**Students will be given two minutes to answer sixty facts.

The breakdown of the timed tests is as follows:

(

*Multiplication of facts up to and including the 12 multiplication table.*)* Multiplication facts: 2

* Multiplication facts: 3

* Multiplication facts: 4

* Multiplication facts: 5

* Multiplication facts: 6

* Multiplication facts: 7

* Multiplication facts: 8

* Multiplication facts: 9

* Multiplication facts: 10

* Multiplication facts: 11

* Multiplication facts: 12

* Mixed Multiplication #1

* Mixed Multiplication #2

If a student completes all required Timed Tests, they will be challenged with multi-digit multiplication problems, multi-operational division problems, fraction problems, and word problems.

For more information about the Diocese of Joliet Standards for Mathematics, please download the document located at the bottom of the page.

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

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