Using a hands-on approach through the College Preparatory Math curriculum, students:

Understand ratio concepts and use ratio reasoning, both visually and in numeric form, to solve problems

Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Compute fluently with multi-digit numbers and find common factors and multiples

Apply and extend previous understandings of numbers to the system of rational numbers

Write and interpret arithmetic and algebraic expressions

Reason about and solve one-variable equations

Represent and analyze quantitative relationships between dependent and independent variables

Solve real-world and mathematical problems involving area, surface area and volume

Using the College Preparatory Math Pre-Algebra Curriculum, students:

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

Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers

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 relationship between them

Solve real-life and mathematical problems involving area, surface area, volume, cylinders, rectangular prisms

Graph data on scatter plots and determine line of best fit

Investigate chance processes and develop, use and evaluate probability models

Using the College Preparatory Math Algebra curriculum, students:

Extend the properties of exponents to rational exponents

Use properties of rational and irrational numbers

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

Interpret the structure of expressions

Write expressions in equivalent forms to solve problems

Perform arithmetic operations on polynomials

Create equations that describe numbers or relationships

Solve equations and inequalities in one variable

Solve systems of equations

Represent and solve equations and inequalities graphically

Define, evaluate, compare functions and use functions to model relationships between quantities

Understand and apply the Pythagorean theorem

Use coordinates to prove simple geometric theorems algebraically

Using the College Preparatory Math Algebra curriculum, students:

Understands congruence in terms of rigid motions

Proves geometric theorems and makes geometric constructions

Proves theorems involving similarity

Defines trigonometric ratios and solves problems involving right triangles

Applies trigonometry to general triangles

Understands and applies theorems about circles

Translates between the geometric description and the equation for a conic section

Uses coordinates to prove simple geometric theorems algebraically

Explains volume formulas and uses them to solve problems

Identifies relationships between two-dimensional and three-dimensional objects

Computes probabilities of compound events in a uniform probability model