7th Grade Math Curriculum
Students in 7th Grade Accelerated Math will use Open Up Math Resources. This is a problem-based core mathematics curriculum that sparks discussion, perseverance, and enjoyment of mathematics. Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language.
Our lessons begin with transformational geometry. The class will study rigid transformations and congruence, then dilations and similarity (this provides background for understanding the slope of a line in the coordinate plane). Next, students build on their understanding of proportional relationships from their studies last year to study linear relationships. They express linear relationships using equations, tables, and graphs, and make connections across these representations. Students will expand their ability to work with linear equations in one and two variables. Building on their understanding of a solution to an equation in one or two variables, they understand what is meant by a solution to a system of equations in two variables. The students will learn that linear relationships are an example of a special kind of relationship called a function. They apply their understanding of linear relationships and functions to contexts involving data with variability. The students will extend the definition of exponents to include all integers, and in the process codify the properties of exponents. They learn about orders of magnitude and scientific notation in order to represent and compute with very large and very small quantities. They encounter irrational numbers for the first time and informally extend the rational number system to the real number system, motivated by their work with the Pythagorean Theorem.
(Source: Open Up Math Resources)
We follow the Diocese of Joliet Mathematical Standards Curriculum which are aligned with the Common Core State Standards. The standards include:
* Know that there are numbers that are not rational, approximate them by rational numbers.
* Work with radicals and integer exponents.
* Understand the connections between proportional relationships, lines, and linear equations.
* Analyze and solve linear equations and pairs of simultaneous linear equations.
* Define, evaluate, and compare functions.
* Use functions to model relationships between quantities.
* Understand congruence and similarity using physical models, transparencies, or geometry software.
* Understand and apply the Pythagorean Theorem.
* Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
* Investigate patterns of association in bivariate data.
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:
* 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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