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6-8 Mathematics
6-8 Mathematics
The New York State Next Generation Mathematics Learning Standards for grades 6 through 8 are designed to build a strong mathematical foundation for students, preparing them for higher-level math and real-world problem-solving. These standards emphasize a balance of conceptual understanding, procedural skills, and practical application.
Key Areas of Focus by Grade:
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Grade 6:
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Ratios and Proportional Relationships: Understanding and using ratios to solve problems.
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The Number System: Extending knowledge of number operations to include fractions and decimals.
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Expressions and Equations: Introducing variables and simple equations.
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Geometry: Understanding area, surface area, and volume.
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Statistics and Probability: Developing concepts of statistical variability and data distribution.
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Grade 7:
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Ratios and Proportional Relationships: Analyzing proportional relationships to solve real-world problems.
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The Number System: Performing operations with rational numbers, including negative numbers.
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Expressions and Equations: Solving linear equations and inequalities.
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Geometry: Working with scale drawings and understanding geometric constructions.
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Statistics and Probability: Making inferences about populations based on samples.
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Grade 8:
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The Number System: Exploring irrational numbers and their approximations.
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Expressions and Equations: Understanding and solving linear equations and systems of equations.
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Functions: Defining, evaluating, and comparing functions.
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Geometry: Applying the Pythagorean Theorem and understanding congruence and similarity.
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Statistics and Probability: Analyzing patterns and associations in bivariate data.
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Standards for Mathematical Practice:
Across all grade levels, the standards emphasize eight key practices to develop students' mathematical proficiency:
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Make sense of problems and persevere in solving them: Encouraging students to understand problems deeply and explore various solution strategies.
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Reason abstractly and quantitatively: Developing the ability to contextualize and decontextualize mathematical situations.
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Construct viable arguments and critique the reasoning of others: Fostering skills to create logical arguments and evaluate others' reasoning.
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Model with mathematics: Applying mathematics to solve problems in everyday life and other disciplines.
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Use appropriate tools strategically: Selecting and effectively using tools such as calculators, rulers, and software.
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Attend to precision: Emphasizing accurate calculations, measurements, and clear communication.
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Look for and make use of structure: Identifying patterns and structures to solve problems more easily.
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Look for and express regularity in repeated reasoning: Noticing repeated calculations or processes to generalize and find shortcuts.
Mathematics
Christina Cardella
Coordinator of Mathematics and STEAM, K-12
516.478.2830
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All students scheduled to enter Math 7 Accelerated should take this readiness assessment, Entering 7Accelerated Readiness Check. The purpose of this assessment is to help students determine their readiness for the Math 7 Accelerated class. Students can use their results from this assessment to determine areas in which they may require some additional practice to master the concepts.
Guidelines for completing the readiness assessment
- Students should complete independently with no support
- Students should NOT use a calculator
- Students should do work out on paper
- Students should try their best
After students complete the assessment, students should correct their work with the answer key and reflect on the problems that they got incorrect. For any topics that pose difficulty, students are encouraged to do additional practice before the start of the school year. Intentional practice of math skills will help students reach mastery of content and increase their ability to use facts and operations easily and accurately. Practice will also help strengthen or deepen their content knowledge and ensure that they have the prerequisite skills to be successful in Math 7 Accelerated. If a student struggles with the majority of the readiness problems, this may be an indication that the student does not yet have the prerequisite knowledge to be successful in Math 7 Accelerated. Please reach out to the Mathematics and STEAM Coordinator, if you have any questions.
It is recommended that students spend, on average, thirty minutes a week engaging in mathematics over the summer. Students should use their readiness check to determine which topics to practice and use any of the following websites to practice those concepts.
Websites:
Castle Learning - Directions to Create Your Own Assignment
Readiness Check Answer Key Entering 7 Accelerated Readiness Check answer key
Christina Cardella
Mathematics and STEAM Coordinator
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All students scheduled to enter Algebra 1 should take this readiness assessment. The purpose of this assessment is to help students determine their readiness for the Algebra 1 class. Students can use their results from this assessment to determine areas in which they may require some additional practice to master the concepts. The link to the assessment is Algebra 1 Assessment. Students must use their Garden City email address to access the assessment.
Guidelines for completing the readiness assessment
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Students should complete independently with no support
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Students can use a calculator
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Students should do work out on paper
-
Students should try their best
After students complete the assessment, students should correct their work with the answer key and reflect on the problems that they got incorrect. For any topics that pose difficulty, students are encouraged to do additional practice before the start of the school year. Intentional practice of math skills will help students reach mastery of content and increase their ability to use facts and operations easily and accurately. Practice will also help strengthen or deepen their content knowledge and ensure that they have the prerequisite skills to be successful in Algebra 1. If a student struggles with the majority of the readiness problems, this may be an indication that the student does not yet have the prerequisite knowledge to be successful in Algebra 1. Please reach out to the Mathematics and STEAM Coordinator, if you have any questions.
It is recommended that students spend, on average, thirty minutes a week engaging in mathematics over the summer. Students should use their readiness check to determine which topics to practice and use any of the following websites to practice those concepts.
Castle Learning - Directions to Create Your Own Assignment
Christina Cardella
Mathematics and STEAM Coordinator
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