Content Overview (What we teach)
The primary focal areas in Grade 7 are:
- number and operations
- expressions, equations, and relationships
- measurement and data
- Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations.
- Students use concepts of proportionality to explore, develop, and communicate mathematical relationships, including number, geometry and measurement, and statistics and probability.
- Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other.
- Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities.
- Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems.
- Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems.
- Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations.
Process Standards (How we learn)
The process standards describe ways in which students are expected to engage in the content.
The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life.
The process standards are integrated at every grade level and course.
- When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace.
- Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
- Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems.
- Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language.
- Students will use mathematical relationships to generate solutions and make connections and predictions.
- Students will analyze mathematical relationships to connect and communicate mathematical ideas.
- Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.