Grade 7/8 NJSLS Summary:

 

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve real-world and mathematical problems. 

 

The Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers. 

• 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. 

• 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. 

 

Functions 

• Define, evaluate, and compare functions. 

• Use functions to model relationships between quantities. 

 

Geometry

• 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. 
• 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. 

 

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. 

• Investigate patterns of association in bivariate data.