6th Grade Math Curriculum
In sixth grade, students will develop proficiency in a variety of topics such as proportional relationships, percentages, rational numbers, equations, inequalities, geometry, graphing, and probability. Ratios and proportions emerges as a new domain of study, where students explore and reason with ratios and rates in order to solve problems. Work with numerical expressions extends to algebraic expressions, which sets students up to solve one-step equations and inequalities. Students will also continue their study of area and volume of geometric shapes, and will learn how statistics can be used to better understand data about our world.
We follow the Diocese of Joliet Mathematical Standards Curriculum which are aligned with the Common Core State Standards. The standards include:
* Analyze proportional relationships and use them to solve real-world and mathematical problems.
* Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
* Use properties of operations to generate equivalent expressions.
* Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
* Draw, construct, and describe geometrical figures and describe the relationships between them.
* Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
* Use random sampling to draw inferences about a population.
* Draw informal comparative inferences about two populations.
* Investigate chance processes and develop, use, and evaluate probability models.
The Standards for 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:
* Demonstrate the mental habits of precise, determined, careful, and accurate questioning, inquiry, and reasoning in the pursuit of transcendent truths.
* Develop lines of inquiry (as developmentally appropriate) to understand why things are true and why they are false.
* Have faith in the glory and dignity of human reason as both a gift from God and a reflection of Him in whose image and likeness we are made.
* Explain how mathematics in its reflection of the good, true, and beautiful reveals qualities of being and the presence of God.
For more information about the Diocese of Joliet Standards for Mathematics, please download the document located at the bottom of the page.
We follow the Diocese of Joliet Mathematical Standards Curriculum which are aligned with the Common Core State Standards. The standards include:
* Analyze proportional relationships and use them to solve real-world and mathematical problems.
* Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
* Use properties of operations to generate equivalent expressions.
* Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
* Draw, construct, and describe geometrical figures and describe the relationships between them.
* Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
* Use random sampling to draw inferences about a population.
* Draw informal comparative inferences about two populations.
* Investigate chance processes and develop, use, and evaluate probability models.
The Standards for 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:
* Demonstrate the mental habits of precise, determined, careful, and accurate questioning, inquiry, and reasoning in the pursuit of transcendent truths.
* Develop lines of inquiry (as developmentally appropriate) to understand why things are true and why they are false.
* Have faith in the glory and dignity of human reason as both a gift from God and a reflection of Him in whose image and likeness we are made.
* Explain how mathematics in its reflection of the good, true, and beautiful reveals qualities of being and the presence of God.
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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