Course 2/3 Math in Focus

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

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
    Adding and Subtracting Scientific Notation
    Multiplying and Dividing Scientific Notation
    Adding and Subtracting Algebraic Terms
    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
    Complementary, Supplementary and Adjacent Angles
    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

    *topics may be adjusted*
     
    For more information regarding the Units of Study in Course 2/3 Math in Focus, please click on the units below.