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6.NO
Number and Operations
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6.1
Analyze numbers using place value and prime factorization. Solve problems involving basic operations of rational numbers.
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6.1.a
Compare and order rational numbers using symbols (<, >, and =) and a number line.
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6.1.b
Use estimation strategies to determine the reasonableness of results in a variety of situations including rational number computations.
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6.1.c
Determine the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of two numbers.
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6.1.d
Compute using basic operations with fractions and mixed numbers. Express answers in the simplest form.
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6.1.e
Solve problems by dividing whole and decimal numbers by decimals and interpret the quotient and remainder within the problem context.
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6.1.f
Explain the relationship(s) among fractions, decimals, and percents and model and represent a specific quantity in multiple ways.
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6.1.g
Model addition and subtraction of integers with physical materials and the number line.
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6.1.h
Solve problems by finding the percentage of a number including percentages greater than 100 and less than 1.
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Consumer math: Which is the better coupon? (Sixth grade - G.1)
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Consumer math: Percents - calculate tax, tip, mark-ups, and more (Sixth grade - G.5)
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Ratios, proportions, and percents: Percents of numbers and money amounts (Sixth grade - Z.9)
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Ratios, proportions, and percents: Percents of numbers: word problems (Sixth grade - Z.10)
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Ratios, proportions, and percents: Percents of numbers - with fractional and decimal percents (Sixth grade - Z.11)
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Ratios, proportions, and percents: Find what percent one number is of another (Sixth grade - Z.12)
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Ratios, proportions, and percents: Find what percent one number is of another: word problems (Sixth grade - Z.13)
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6.1.i
Multiply four-digit numbers by two-digit numbers (including whole numbers and decimals).
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6.1.j
Explain the meaning of multiplication and division of rational numbers.
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6.1.k
Explain the meaning and relationship between absolute value and opposites.
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6.ALG
Algebra
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6.2
Use algebraic functions, patterns, and language across a variety of contexts.
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6.2.a
Solve simple equations using guess-and-check, diagrams, properties, or inspection, explaining the process used.
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6.2.b
Complete a function table based on a given rule.
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6.2.c
Formulate algebraic expressions, equations, and inequalities to reflect a given situation.
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6.2.d
State the following properties using variables and apply them in solving problems:
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6.2.d.1
Zero property of multiplication
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6.2.d.2
Inverse properties of addition/subtraction and multiplication/division
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6.2.d.3
Commutative and associative properties of addition and multiplication
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6.2.d.4
Identity properties of addition and multiplication
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6.2.d.5
Distributive properties of multiplication over addition and subtraction
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6.2.e
Describe a rule for a function table using words, symbols, and points on a graph and vice versa.
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6.GEO
Geometry
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6.3
Analyze geometric relationships of lines, angles, two- and three-dimensional shapes, and transformations.
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6.3.a
Compare, classify, and construct transformations (reflections, translations, and rotations).
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6.3.b
Construct three-dimensional figures using manipulatives and generalize the relationships among vertices, faces, and edges (such as Eular's Formula).
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6.3.c
Draw, label, and classify polygons to include regular and irregular shapes. Identify congruent and symmetrical figures.
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6.3.d
Identify, estimate, and compare right, acute, and obtuse angles.
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6.3.e
Explain the relationships between corresponding parts of the pre-image and image of a dilation.
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6.MEA
Measurement
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6.4
Apply geometric formulas and standard (English and metric) units of measurement in mathematical and real-life situations.
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6.4.a
Convert units within a given measurement system to solve problems.
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6.4.b
Calculate the perimeter and area of regular and irregular shapes using a variety of methods.
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6.4.c
Determine the radius, diameter, and circumference of a circle.
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6.4.d
Use scale factors to perform dilations and to solve ratio and proportion problems.
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Geometry: Find side lengths of similar figures (Sixth grade - Y.15)
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Ratios, proportions, and percents: Write a ratio to describe objects in a picture (Sixth grade - Z.1)
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Ratios, proportions, and percents: Equivalent ratios (Sixth grade - Z.2)
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Ratios, proportions, and percents: Proportions (Sixth grade - Z.3)
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Ratios, proportions, and percents: Unit rates and equivalent rates (Sixth grade - Z.4)
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Ratios, proportions, and percents: Scale drawings (Sixth grade - Z.5)
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6.4.e
Predict and calculate the volume of prisms.
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6.4.f
Apply techniques and tools to accurately find length, area, and angle measures to appropriate levels of precision.
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6.4.g
Explain the relationship of circumference of a circle to its diameter, linking to pi.
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6.DAP
Data Analysis and Probability
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6.5
Organize, interpret, analyze, and display data to predict trends.
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6.5.a
Construct, interpret, and explain line graphs, double bar graphs, frequency plots, stem-and-leaf plots, histograms, and box-and-whisker plots.
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6.5.b
Determine how changes in data affect mean, median, mode, and range.
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6.5.c
Predict trends based on graphical representation.
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