
Grade 6 Learning ExpectationsMathematics
All students entering John Witherspoon Middle School begin PreAlgebra. highly rigorous curriculum prepares every student to begin Algebra I in 7th grade. addition to the Common Core Content outlined below students will cover the following: to variables, expressions and equations, inequalities, exponents, ratios, proportions and percents and linear relationships.
By the end of Sixth Grade, students are expected to:
Ratios and Proportional Relationships
 Understand ratio concepts and use ratio reasoning to solve problems.
The Number System
 Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
 Compute fluently with multidigit numbers and find common factors and multiples.
 Apply and extend previous understandings of numbers to the system of rational numbers.
Expressions and Equations
 Apply and extend previous understandings of arithmetic to algebraic expressions.
 Reason about and solve onevariable equations and inequalities.
 Represent and analyze quantitative relationships between dependent and independent variables.
Geometry
 Solve realworld and mathematical problems involving area, surface area, and volume.
Statistics and Probability
 Develop understanding of statistical variability.
 Summarize and describe distribution.
Grade 7 Learning Expectations
All students in 7th grade begin a highly rigorous Algebra curriculum in addition to meeting the Common Core expectations. in the accelerated course will complete this curriculum in one year and will be expected to take the Algebra End of Course exam as mandated by the NJ Department of Education. other students will begin the first half of this curriculum focusing on building a strong foundation in Algebra.
By the end of Seventh Grade, students are expected to:
Ratios and Proportional Relationships
 Analyze proportional relationships and use them to solve realworld and mathematical problems.
The Number System
 Apply and extend previous understandings of operations with fractions to add, subtract,, and divide rational numbers.
Expressions and Equations
 Use properties of operations to generate equivalent expressions.
 Solve reallife and mathematical problems using numerical and algebraic expressions and equations.
Geometry
 Draw, construct and describe geometrical figures and describe the relationships between them.
 Solve reallife 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.
Grade 8 Learning Expectations
Students in the accelerated course in 8th grade will be exposed to the Algebra II Accelerated curriculum taught at Princeton High School. are on a path to complete Multivariable Calculus and Linear Algebra in their senior year. other 8th grade students will be completing the Algebra I curriculum in preparation for the Algebra I End of Course exam. are on a path to complete Calculus in their senior year. Content covered in these courses along with the grade level expectations below as found in the Common Core Standards will support a strong foundation for future success in mathematics.
In addition to the Algebra I or II curriculum, by the end of Eighth Grade, students are expected to:
The Number System
 Know that there are numbers that are not rational, and approximate them by rational numbers.
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
 Understand congruence and similarity using physical models, transparencies, or geometry software.
 Understand and apply the Pythagorean Theorem.
 Solve realworld and mathematical problems involving volume of cylinders, cones and spheres.
 