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Sixth Grade Mathematics Curriculum


Problem Solving          
  • Problem solving strategies 
  • Identifying correct operations in fraction, decimal, and percent problems           


Connecting Arithmetic to Algebra  

  • Review reading and writing large numbers 
  • Review writing numbers in standard form, expanded form, and number word form 
  • Review comparing and ordering numbers 
  • Review estimation and rounding numbers 
  • Exponential notation and its use in problem solving 
  • Order of operations  
  • Variables and expressions 
  • Writing expressions 
  • Balancing and solving equations   


Number Theory        

  • Factors, proper factors 
  • Abundant, deficient, perfect, prime and composite numbers 
  • Prime factorization 
  • Relatively prime 
  • Multiples, common multiples, least common multiples 
  • Finding the least common multiple and greatest common factor using prime factorization and the ladder method 
  • Problem solving using the greatest common factor and least common  multiple 
  • Rules of Divisibility        


Geometry  

  • Classify lines, segments, rays, points, and endpoints using appropriate notation and symbols 
  • Identify line relationships using appropriate notation and symbols
  • Angle classification using appropriate notation and symbols 
  • Angle measurement using a protractor 
  • Complimentary and supplementary angles 
  • Congruence and proper notation for congruence 
  • Classify triangles by their sides and angles 
  • Triangle sum property 
  • Polygon classification 
  • Classification of the Special Quadrilaterals 
  • Reflections of figures and line symmetry 
  • Rotations and rotational symmetry 
  • Translations and tesslations 


The Geometry and Measurement of Circles  

  • Identify the parts of a circle:  diameter, radius, chord, arc, sector, central angle, center  
  • Discover Pi 
  • Circumference of a circle 
  • Area of a circle 
  • Area of compound figures   


Ratios, Rates, Proportion, and Percent  

  • Ratios, rates, equal ratios 
  • Unit rates 
  • Proportions and solving problems using proportional reasoning
  • Similar figures 
  • Percent notation 
  • Writing percents as decimals and fractions 
  • Writing decimals and fractions as percents 
  • Finding the percent of a number 
  • Calculating discount, tax, tip, and simple interest
Data Analysis  
  • Reading and interpreting graphs 
  • Identifying misleading graphs 
  • Interpreting and predicting  trends from scatterplots 
  • Selecting and creating appropriate scales and intervals for constructing bar graphs    
  • Constructing and interpreting stem-and-leaf diagrams   
  • Measures of Central Tendency 
  • Determining the effects of outliers 
  • Calculating the number required to achieve a given mean 


Decimals            

  • Review decimal notation, place value, comparing and ordering decimals, and rounding decimals 
  • Review estimation of decimal sums, differences, products, and quotients 
  • Review decimal sums, differences, and products 
  • Division of decimals by decimals 
  • Balancing and solving decimal multiplication and division equations
  • Problem solving using decimals    


Connecting Fractions and Decimals 

  • Review  simplifying, comparing and ordering and rounding fractions 
  • Review improper fractions and mixed numbers 
  • Review writing fractions as decimals and decimals as fractions
  • Review addition, subtraction, and multiplication of  fractions and mixed fractions 
  • Reciprocal and its application to division 
  • Division of  fractions and mixed numbers 
  • Problem solving using all fraction and mixed number operations
  • Balancing and solving fraction multiplication and division equations    


Measurement  

  • Find the perimeter of simple and compound geometric figures
  • Review the area of rectangles and squares 
  • Area of parallelograms, and triangles 
  • Area of compound figures         


Integers  

  • Understanding integers 
  • Comparing and ordering integers 
  • Addition, subtraction, multiplication and division of integers


Graphing on the Coordinate Plane  

  • Plotting and reading points 
  • Graphing translations and reflections 
  • Table of Values 
  • Graphing the equation of a line         


Probability  

  • Events, outcomes, probability 
  • Calculating probability of a single event 
  • Calculating probability from geometric models 
  • Tree Diagrams 
  • Calculating probability of compound events 
  • Judging the fairness of a game     

 


 


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Armonk, NY
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