# Course 2/3 Math in Focus • Math in Focus addresses topics in greater depth at each grade.

Please reference the 6-8 scope and sequence to see how mathematics skills are introduced and expanded within each grade level.

• This year, students in Course 2/3 will focus on:
• developing a unified understanding of numbers, recognizing fractions, decimals and percents as representations of rational numbers
• converting between a fraction and decimal form of an irrational number
• extending addition, subtraction, multiplication and division to all rational numbers
• maintaining the properties of operations and the relationships between addition and subtraction, and multiplication and division
• viewing negative numbers in terms of everyday context
• explaining and interpreting the rules for adding, subtracting multiplying and dividing
• extending their mastery of the properties of operations to develop an understanding of integer exponents, and to work with numbers written in scientific notation
• using arithmetic of rational numbers as they formulate expressions and equations with one variable, and use these equations to solve problems
• strategically using and implementing procedures to solve linear equations with one variable
• developing an understanding that when you use the properties of equality and the concept of logical equivalence, they maintain the solutions of the original equation
• recognizing equations for direct and inverse proportions
• using linear equations and systems of linear equations to represent, analyze and solve a variety of problems
• strategically choosing and efficiently implementing procedures to solve linear equations.
• analyzing relationships among two-dimensional figures using scale drawings and informal geometric constructions
• using ideas about distance and angles, how they behave under translations, rotations, reflections and dilations
• analyzing ideas about congruence and similarity to describe and analyze two-dimensional figures
• solving problems involving the area and circumference of a circle and surface area of three-dimensional objects.
• expanding proficiency with single data distributions and random sampling to generate data sets.

# Supporting at Home

Username:  6 digit RTSD ID@rtsd.org  (ex: 123456@rtsd.org)

# Units of Study

• #### This course is intended to be a highly rigorous, accelerated curriculum compacted pathway which merges concepts from Course 2 Math in Focus with Course 3 Math in Focus. Upon completion of Course 2/3, students will be prepared to enter Algebra 1. Students enrolled in this course will receive both Course 2 and Course 3 materials and will move between both resources as the course progresses.

Topics in Course 2/3 include:

Representing Rational Numbers on the Number Line
Writing Rational Numbers as Decimals
Introducing Irrational Numbers
Introducing Real Number Systems
Introducing Significant Digits
Adding, subtracting, multiplying and dividing integers
Operations with Integers, Rational Numbers and Decimals
Exponential Notation
Product and Quotient of a Power
Power of a Power
Power of a Product and the Power of a Quotient
Zero and Negative Exponents
Real World Problems- Squares and Cubes
Understanding Scientific Notation
Multiplying and Dividing Scientific Notation
Simplifying Expressions
Expanding Algebraic Expressions
Factoring Algebraic Expressions
Writing Algebraic Expressions
Real World Problems Using Algebraic Reasoning
Understanding Equivalent Equations
Solving Algebraic Equations
Real-World Problems with Algebraic Equations
Solving Algebraic Inequalities
Real World Problems with Algebraic Inequalities
Direct Proportion
Representing Direct Proportion Graphically
Solving Direct Proportion Problems
Understanding Inverse Proportion
Solving Linear Equations with One Variable
Identifying the Number of Solutions to a Linear Equation
Understanding Linear Equations with Two Variables
Solving for a Variable in a Two-Variable Linear Equation
Finding and Interpreting Slopes of Lines
Understanding Slope-Intercept Form
Writing Linear Equations
Sketching Graphs of Linear Equations
Real-World Problems with Linear Equations
Angles that Share a Vertex
Alternate Interior, Alternate Exterior and Corresponding Angles
Interior and Exterior Angles
Constructing Angle Bisectors
Constructing Perpendicular Bisectors
Constructing Triangles
Geometric Transformations including: Translations, Reflections, Rotations, Dilations
Understanding and Applying Congruent Figures
Understanding and Applying Similar Figures
Angle Volume and Surface Area of Solids including Cylinders, Pyramids, Cones
Finding Probability of Events and Relative Frequency
Developing Probability Models
Probability of Compound events
Independent and Dependent Events