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6.1
Algebraic Reasoning
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6.1.1
Extend and create patterns from tables, graphs, rules and number properties and generalize patterns algebraically (e.g., recursive patterns like the Fibonacci numbers, number sequences, prime and composite numbers).
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6.1.2
Use substitution and order of operations to simplify and evaluate algebraic expressions (e.g., if x = 5 evaluate 2x + 3).
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6.2
Number Sense
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6.2.1
Multiply and divide fractions and mixed numbers to solve problems using a variety of methods.
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6.2.2
Convert, compare and order decimals (terminating and nonterminating), fractions and percents using a variety of methods.
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Decimal numbers: Convert decimals to mixed numbers (Sixth grade - B.4)
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Decimal numbers: Put decimal numbers in order (Sixth grade - B.5)
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Decimal numbers: Inequalities with decimals (Sixth grade - B.6)
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Rational numbers: Compare rational numbers (Sixth grade - D.1)
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Rational numbers: Put rational numbers in order (Sixth grade - D.2)
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Fractions and mixed numbers: Equivalent fractions review (Sixth grade - T.2)
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Fractions and mixed numbers: Simplify fractions (Sixth grade - T.3)
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Fractions and mixed numbers: Compare fractions with like and unlike denominators (Sixth grade - T.6)
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Fractions and mixed numbers: Compare fractions: word problems (Sixth grade - T.7)
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Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Sixth grade - T.8)
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Fractions and mixed numbers: Convert between decimals and fractions or mixed numbers (Sixth grade - T.9)
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Fractions and mixed numbers: Put a mix of decimals, fractions, and mixed numbers in order (Sixth grade - T.10)
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Ratios, proportions, and percents: Convert between percents, fractions, and decimals (Sixth grade - Z.6)
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Ratios, proportions, and percents: Compare percents to each other and to fractions (Sixth grade - Z.7)
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Ratios, proportions, and percents: Compare percents and fractions: word problems (Sixth grade - Z.8)
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6.2.3
Estimate solutions to single and multi-step problems using whole numbers, decimals, fractions, and percents and assess whether solutions are reasonable (e.g., 7/8 + 8/9 is about 2, 0.9 + 0.3 is about 1).
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6.2.4
Build and explore multiples and their patterns to develop the concept of exponents.
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6.2.5
Simplify numerical expressions with exponents and parentheses using order of operations.
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6.3
Geometry
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6.3.1
Angles
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6.3.1.a
Compare, estimate and determine the measurement of angles.
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6.3.1.b
Find the complement and supplement of an angle.
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6.3.2
Differentiate between congruent and similar figures.
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6.3.3
Describe the effect of performing basic transformations on objects and figures in a variety of contexts. (e.g., explore reflection [flip] with mirrors, explore rotation [turn] and translation [slide] by designing the layout of different shapes of floor tile).
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6.4
Measurement
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6.4.1
Collect data and develop formulas to find the circumference and area of circles (e.g., use string the length of the diameter of various circular lids to approximate the circumference and develop the concept of pi).
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6.4.2
Compare and convert units within the same measurement system; express conversions using appropriate unit labels (e.g., square inches to square feet, centimeters to millimeters, hours to minutes); and compute measurements of combined units (e.g., 9'8" + 3'6" = ?' and ?" , 150 minutes = ? hours and ? minutes).
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6.4.3
Find reasonable estimates for measurements using measurements in standard and metric units.
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6.5
Data Analysis and Statistics
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6.5.1
Collect, organize, and interpret data to solve problems (e.g., data from student experiments, tallies, Venn diagrams, tables, circle and bar graphs, spreadsheets).
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6.5.2
Construct and interpret graphs of statistical data (e.g., explain how different representations lead to different interpretations and may distort information).
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6.5.3
Find the median and mode for a set of data in a variety of contexts.
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