# SUMMER COMMON CORE MATH

## Kindergarten - Grade Two

In kindergarten through grade two, our student's learning focuses on the concepts and skills for addition and subtraction with a special emphasis on place value. They will learn different strategies for addition and subtraction and apply them to solving a variety of problems. Students will develop conceptual understandings about addition and subtraction that form the building blocks for later grades. They will be able to explain why a procedure works and why an answer is correct.

## Grade Three - Grade Five

In grades three through five, our student's learning focuses on the concepts and skills for multiplication and division of whole numbers and understanding fractions. They will learn strategies for using multiplication and division to solve problems. Students will also learn to add, subtract, multiply, and divide fractions using various strategies. They will be able to explain why a procedure works and why an answer is correct.

## Grade Six - Grade Nine

In grades six through eight, our students move from arithmetic to algebra. Learning focuses on ratio and proportional reasoning applied to real-world problems and quantitative relationships, leading to the notion of functions by grade eight. By the end of grade six, students are expected to be fluent with multi-digit division and calculations with multi-digit decimals. By the end of grade eight, students are expected to be fluent with calculations with positive and negative fractions and decimal numbers.

The higher mathematics options are organized into Algebra I, Geometry, and Algebra II. In Algebra I, learning focuses on deepening and extending understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. In Geometry, students explore complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. In Algebra II, students work closely with the expressions that define the functions and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms.