The mathematical standards for Math 7 focus on growth in four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.
All of Hall’s mathematics courses share a commitment to rigor. As defined in the Common Core, rigor refers to deep, authentic command of mathematical concepts, not making math harder or introducing topics at earlier grades. To help students meet the standards, educators will need to pursue, with equal intensity, three aspects of rigor in the major work of each grade: conceptual understanding, procedural skills and fluency, and application.
Additionally, all of Hall’s mathematics courses share a commitment to 8 mathematical practices that are to be developed throughout their learning of mathematics, no matter what the grade level. The Eight Mathematical Practices are:
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
Common Core Standards for Math 7 (What students will know and be expected to do by the end of the 7th grade math course):
- Ratios and Proportional Relationships
- Analyze proportional relationships and use them to solve real-world and mathematical problems.
- The Number System
- Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
- Expressions and Equations
- 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.
- Statistics and Probability
- 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.