Honors Math

Honors Math begins in the 4th grade at Saint Luke Catholic School. The goal of the Honors Math program is designed to challenge exceptional math students and to offer them a more rigorous curriculum. Students are selected based on their Terra Nova CSI score, Math, and English report card grades; these parameters are set by the Archdiocese. The program provides the graduating students an opportunity to place out of Algebra 1 in high school. In the 4th and 5th grades, we use the Sadlier Math series and in 6th-8th grades, we use the Prentice Hall/Pearson Common Core series.

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve real-world and mathematical problems.
• Use proportional relationships to solve multistep ratio and percent problems.

The Number System

• Use properties of operations to generate equivalent expressions.
• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Expressions and Equations

• Use properties of operations to generate equivalent expressions.
• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
• Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the 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.

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.

The Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers.
• Work with radicals and integer exponents.

Expressions and Equations

• 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.
• Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Statistics and Probability

• Investigate patterns of association in bivariate data.

The real number system

• Extend the properties of exponents to rational exponents.
• Use properties of rational and irrational numbers.

Quantities

• Reason quantitatively and use units to solve problems.

Seeing structure in expressions

• Interpret the structure of linear expressions.
• Interpret the structure of exponential expressions.
• Write quadratic expressions in equivalent forms to solve problems.
• Write exponential expressions in equivalent forms to solve problems.
• Perform arithmetic operations on polynomials.

Creating equations

• Create linear equations that describe numbers or relationships.
• Create exponential equations that describe numbers or relationships.
• Create quadratic equations that describe numbers or relationships.
• Create inequalities that describe numbers or relationships.

Reasoning with equations and inequalities

• Understand solving equations as a process of reasoning and explain the reasoning.
• Solve equations and inequalities in one variable.
• Solve systems of equations.
• Represent and solve equations and inequalities graphically.

Interpreting Functions

• Understand the concept of a function and use function notation.
• Interpret linear functions that arise in applications in terms of a context.
• Interpret exponential functions that arise in applications in terms of a context.
• Interpret quadratic functions that arise in applications in terms of a context.
• Analyze linear functions using different representations.
• Analyze exponential functions using different representations.
• Analyze quadratic functions using different representations.
• Analyze other functions using different representations.

Building Functions

• Build a linear function that models a relationship between two quantities.
• Build an exponential function that models a relationship between two quantities
• Build a quadratic function that models a relationship between two quantities
• Build new functions from existing functions.
• Find inverse functions.

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic, and exponential models and solve problems.
• Interpret expressions for functions in terms of the situation they model.

Interpreting Categorical and Quantitative Data

• Summarize, represent, and interpret data on a single count or measurement variable.
• Summarize, represent, and interpret data on two categorical and quantitative variables.
• Interpret linear models.