Honors Math

Honors Math begins in the 4th grade at Saint Luke Catholic School. The Honors Math program aims to challenge exceptional math students and offer them a more rigorous curriculum. Students are selected based on their Terra Nova CSI score, Math, and English report card grades; the Archdiocese sets these parameters. The program provides the graduating students an opportunity to place out of Algebra 1 in high school. Grades 4-8 use the Sadlier Math 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.