Math+Level+6+Essential+Learnings

= **Essential Learnings and Indicators of Success** = = =

**EL1: The student will use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data and graphs.**

 * 1) Use a variable to represent an unknown value
 * 2) Recognize and describe geometric and numeric patterns
 * 3) Make predictions and solve problems based on patterns in tables and graphs
 * 4) Extend patterns
 * 5) Explain whether data is changing at a constant rate
 * 6) Use algebraic equations to solve problems

**EL 2: The student will develop number sense and use numbers and number relationships in problem-solving situations that include decimal computational techniques, including estimation.**

 * 1) Decimal addition, subtraction, multiplication and division
 * 2) Mentally multiply and divide by powers of 10
 * 3) Understand decimal place value and apply that knowledge to compare and order decimal numbers on a number line
 * 4) Estimation of all decimal computation
 * 5) Determine if solutions are reasonable
 * 6) Apply Commutative, Associative, Identity, and Distributive properties

** EL 3: The student will collect, represent, and interpret sets of data, including situations involving probability. **

 * 1) Identify central tendencies (mean, median, mode) and range of data
 * 2) Use central tendencies to draw conclusions about data
 * 3) Create and read frequency tables and line plots
 * 4) Create and read bar graphs and line graphs
 * 5) Select appropriate data representation for specific real-world situations
 * 6) Analyze data and draw conclusions based on data displays such as line graphs, bar graphs and/or frequency tables
 * 7) Interpret circle graphs
 * 8) Use a chance device to design a fair and unfair game
 * 9) Make predictions based on data obtained from simple probability experiments
 * 10) Describe an event as impossible, unlikely, likely, or certain
 * 11) Use tree diagrams to determine all possible outcomes for simple events

== **EL 4: The student will apply number sense in representing fractions, ratios, percents and their equivalencies, and will link concepts and procedures as they develop and use computational techniques involving fractions and problem-solving situations.** ==
 * 1) Pictorial representations of all fractions and percents, including mixed numbers and improper fractions
 * 2) Adding and subtracting fractions and mixed numbers with like denominators
 * 3) Identify prime and composite numbers
 * 4) Find prime factorization of numbers
 * 5) List factors of numbers and identify greatest common factors
 * 6) List multiples of numbers and identify least common multiples
 * 7) Identify equivalent fractions
 * 8) Identify equivalencies between mixed numbers and improper fractions
 * 9) Locate fractions on number lines
 * 10) Identify ratios and apply knowledge to map scales
 * 11) Percent equivalency of common fractions

** EL 5: The student will apply two-dimensional geometric concepts, identifying properties and relationships in solving problems involving perimeter and area in two dimensions. **

 * 1) Construct models based on the attributes of two-dimensional figures
 * 2) Describe, analyze and evaluate properties of two and three dimensional figures
 * 3) Solve problems involving perimeter of polygons
 * 4) Solve problems involving areas of squares, rectangles, parallelograms, perimeter and triangles
 * 5) Classify triangles by angles and sides
 * 6) Identify congruency in transforming geometric figures
 * 7) Show lines of symmetry
 * 8) Identify three-dimensional figures and corresponding nets
 * 9) Understand volume by definition and exploration only
 * 10) Plot ordered pairs in the coordinate plane in Quadrant 1 only

** EL 6: The student will use appropriate tools and techniques for measurement, and apply the results in problem-solving situations. **

 * 1) Identify 1/4, 1/8, 1/16 markings in measuring with a standard ruler
 * 2) Determine the appropriate unit of measurement, metric and customary, when estimating distance, length, capacity, weight, and temperature
 * 3) Make conversions between units in the metric system
 * 4) Read and interpret scales on number lines, graphs and maps