| Grade 7 |
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Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.
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A. Knowledge of Number and Place Value
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1. Apply knowledge of rational numbers and place value
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a. Read, write, and represent whole numbers
Assessment limit:
- Use exponential notation with bases no more than 12 and exponents no more than 3 in standard form (0 – 1000)
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b. Express decimals using expanded form
Assessment limit:
- Use decimals with no more than 4 decimal places (0 – 100)
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c. Determine equivalent forms of rational numbers expressed as fractions, decimal, percents, and ratios
Assessment limit:
- Use positive rational numbers (0 – 100)
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d. Compare, order, and describe rational numbers with or without relational symbols (<, >, =)
Assessment limit:
- Use no more than 4 fractions with denominators that are factors of 300 that are less than 101 (0-100), decimals with no more than 4 decimal places (0-100), percents (0-100) or integers (-100 to 100)
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e. Express whole numbers and decimals in scientific notation
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B. Number Theory
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C. Number Computation
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1. Analyze number relations and compute
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a. Add, subtract, multiply, and divide integers
Assessment limit:
- Use one operation (-100 to 100)
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b. Add, subtract, and multiply positive fractions and mixed numbers
Assessment limit:
- Use no more than 2 operations and positive fractions or mixed numbers with denominators as factors of 300 less than 101 (0 – 2000)
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c. Divide fractions and mixed numbers
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d. Calculate powers of integers and square roots of perfect square whole numbers
Assessment limit:
- Use exponents of no more than 3 for integers (-10 to 20) or square roots of perfect square whole numbers (0–100)
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e. Use the laws of exponents to simplify expressions
Assessment limit:
- Use the rules of exponents (power times power or power divided by power) with the same whole number base (0 – 100) and exponents (0 – 10)
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f. Identify and use the properties of addition and multiplication to simplify expressions
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g. Determine percent of a number
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2. Estimation
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a. Determine approximate sums, differences, products, and quotients
Assessment limit:
- Use no more than 3 positive rational numbers (0 – 1000)
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3. Analyze ratios, proportions, or percents
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a. Determine equivalent ratios
Assessment limit:
- Use denominators as factors of 300 but less than 101 and whole numbers (0-100)
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b. Determine and use rates, unit rates, and percents as ratios in the context of a problem
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c. Determine rate of increase and decrease, discounts, simple interest, commission, sales tax
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d. Determine percent of a number
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