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Grade 6 - Math

Math in Grade 6

In all grade levels in Middle School, students utilize the Math in Focus Texts as well as additional resources to follow Singapore Math practices, align with Common Core and develop their proficiency in the following nine mathematical practices set forth by the National Council of Teachers of Math and the Mathematics Education Leadership Association: 
  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.
  9. Solve problems in novel ways and pose new mathematical questions of interest to investigate.
Students study arithmetic, algebraic operations, and utilize 21st century skills as critical tools in solving problems of progressively greater complexity. Through engaging explorations and investigations, each student is challenged to achieve conceptual understanding while building mathematical confidence. 
Math 6 is a middle school curriculum based on Singapore Math In-Focus Texts A & B Course 1. 
Each unit in Math 6 focuses on a particular area of mathematics while presenting students with guided opportunities for mathematical analysis and problem solving. Students in Math 6 will practice and develop skills with:
  • Understand the number line
  • Prime Factorization
  • Common Factors and Multiples
  • Squares and Square Roots
  • Cubes and Cube Roots
  • Understand negative numbers
  • Understand and practice with Absolute Value
  • Dividing Fractions
  • Multiplying Decimals
  • Dividing Decimals
  • Real-World Problems: Fractions and Decimals
  • Comparing Two Quantities
  • Equivalent Ratios
  • Real-World Problems: Ratios
  • Rate and Unit Rate
  • Real-World Problems: Ratios
  • Understanding Percent
  • Fractions, Decimals, and Percents
  • Percent of a Quantity
  • Real-World Problems: Percent
  • Percent of Change
  • Writing Algebraic Expressions
  • Evaluating Algebraic Expressions
  • Simplifying Algebraic Expressions
  • Expanding and Factoring Algebraic Expressions
  • Real-World Problems: Algebraic Expressions
  • Solving Algebraic Equations
  • Writing Linear Equations
  • Solving Simple Inequalities
  • Real-World Problems: Equations and Inequalities
  • Points on a coordinate plane
  • Length of line segments 
  • Real-World Problems: Graphing
  • Area of Triangles
  • Area of Parallelograms and Trapezoids
  • Area of other Polygons
  • Area of Composite FIgures
  • Radius, DIameter, and Circumference of a Circle
  • Area of a Circle
  • Real-World Problems: Circles
  • Nets of Solids
  • Surface Area of Solids
  • Volume of Prisms
  • Real-World Problems: Surface Area and Volume
  • Collecting and Tabulating Data
  • Dot Plots
  • Histograms
  • Mean
  • Median
  • Mode
  • Real-World Problems: Mean, Median, Mode
  • The Number Line
  • Place Value 
  • Whole Number Operations 
  • Divisibility Rules 
  • Powers and Exponents 
  • Perfect Squares 
  • Order of Operations 
  • Prime Factorization 
  • Greatest Common Factor 
  • Least Common Multiple  
  • Representing and Writing Integers 
  • Comparing and Ordering Integers 
  • Absolute Values 
  • Adding and Subtracting Integers 
  • Multiplying and Dividing Integers 
  • The Coordinate Plane 
  • Graphing Ordered Pairs with Integral Coordinates
  • Writing Fractions (Mixed vs. Improper) 
  • Equivalent Fractions 
  • Adding and Subtracting Fractions 
  • Multiplying and Dividing Fractions 
  • Decimals and Place Value 
  • Adding and Subtracting Decimals 
  • Multiplying and Dividing Decimals 
  • Fractions, Decimals, Percents 
  • Negative Rational Numbers 
  • Comparing and Ordering Rational Numbers 
  • Parts of Algebraic Expressions 
  • Evaluating and Writing Expression 
  • Equivalent Expressions 
  • Distributive Property
  • Combining Like Terms 
  • Simplifying and Factoring Expressions 
  • Writing Equations in One Variable 
  • Properties of Equality 
  • Solving Equations with Addition or Subtraction 
  • Solving Equations with Multiplication or Division 
  • Writing and Graphing Inequalities 
  • Properties of Inequality
  • Solving Inequalities with Addition or Subtraction 
  • Solving Inequalities with Multiplication or Division 
  • Ratios 
  • Comparing Two Quantities 
  • Equivalent Ratios 
  • Real World Problems: Ratios 
  • Rates and Unit Rates 
  • Write and Graph Proportional Relationship
  • Represent Ratios as Fractions, Decimals and Percents 
  • Identify Regular Polygons 
  • Area and Perimeter of Rectangles and Triangles 
  • Area of Parallelograms and Trapezoids 
  • Area of Other Polygons 
  • Area of Composite Figures 
  • Nets of Solids 
  • Surface Area of Solids 
  • Volume of Rectangular Prisms  
  • Collecting and Tabulating Data 
  • Dot Plots 
  • Histograms 
  • Box and Whisker Plots 
  • Mean 
  • Median 
  • Mode