Course Content
A. Whole Number Operations
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A.01. Add and subtract whole numbers.
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A.02. Solve whole number addition and subtraction word problems.
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A.03. Multiply whole numbers.
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A.04. Solve whole number multiplication word problems.
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A.05. Multiply numbers ending in zeros.
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A.06. Solve multiplication word problems involving numbers ending in zeros.
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A.07. Estimate products of whole numbers.
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A.08. Apply multiplication and division properties to solve real-world problems.
B. Division of Whole Numbers
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B.01. Understand divisibility rules.
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B.02. Recognize division patterns with zeros.
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B.03. Solve division word problems involving numbers ending in zeros.
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B.04. Estimate quotients of whole numbers.
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B.05. Divide whole numbers by 2-digit divisors.
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B.06. Divide whole numbers by 3-digit divisors.
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B.07. Solve complex division word problems involving multi-step operations.
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B.08. Apply long division to solve various problems.
C. Exponents and Order of Operations
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C.01. Write multiplication expressions using exponents.
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C.02. Evaluate powers with whole number bases.
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C.03. Write powers of ten with exponents.
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C.04. Find the missing exponent or base in exponential expressions.
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C.05. Evaluate powers with decimal bases.
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C.06. Evaluate powers with fractional bases.
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C.07. Evaluate powers with whole number, decimal, and fractional bases.
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C.08. Understand and apply the order of operations (PEMDAS/BODMAS).
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C.09. Evaluate numerical expressions involving whole numbers using order of operations.
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C.10. Identify and correct errors in order of operations.
D. Number Theory
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D.01. Identify prime and composite numbers.
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D.02. Identify factors of a number.
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D.03. Find all factor pairs of a number.
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D.04. Determine the prime factorization of a number.
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D.05. Express prime factorization using exponents.
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D.06. Find the greatest common factor (GCF) of two numbers.
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D.07. Find the GCF of three or more numbers.
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D.08. Find the least common multiple (LCM) of two numbers.
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D.09. Find the LCM of three or more numbers.
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D.10. Solve word problems involving GCF and LCM.
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D.11. Apply prime factorization to solve real-world problems.
E. Fractions and Decimals
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E.01. Write fractions in simplest form.
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E.02. Find the least common denominator (LCD) of two or more fractions.
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E.03. Convert between improper fractions and mixed numbers.
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E.04. Convert fractions to decimals.
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E.05. Convert decimals to fractions.
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E.06. Convert between fractions and repeating decimals.
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E.07. Compare and order fractions and decimals.
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E.08. Solve word problems involving fractions as division.
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E.09. Apply the concept of fractions to solve practical problems.
F. Operations with Decimals
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F.01. Add and subtract decimal numbers.
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F.02. Solve addition and subtraction word problems involving decimals.
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F.03. Solve money amount word problems involving addition and subtraction.
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F.04. Estimate sums and differences of decimals.
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F.05. Multiply decimal numbers.
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F.06. Divide decimals by whole numbers.
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F.07. Multiply and divide decimals by powers of ten.
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F.08. Estimate products and quotients of decimals.
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F.09. Divide by decimal divisors.
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F.10. Solve multi-step word problems involving decimals.
G. Operations with Fractions
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G.01. Add and subtract fractions with like denominators.
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G.02. Solve addition and subtraction word problems with like denominators.
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G.03. Add and subtract fractions with unlike denominators.
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G.04. Solve addition and subtraction word problems with unlike denominators.
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G.05. Compare and order fractions.
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G.06. Add and subtract mixed numbers.
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G.07. Solve addition and subtraction word problems involving mixed numbers.
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G.08. Estimate sums and differences of mixed numbers.
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G.09. Apply fraction operations to solve practical problems.
H. Multiplication and Division of Fractions
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H.01. Multiply fractions by whole numbers.
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H.02. Solve word problems involving multiplying fractions by whole numbers.
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H.03. Estimate products of fractions and whole numbers.
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H.04. Multiply two fractions.
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H.05. Solve word problems involving multiplying two fractions.
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H.06. Multiply three or more fractions and whole numbers.
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H.07. Multiply mixed numbers.
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H.08. Solve word problems involving multiplying mixed numbers.
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H.09. Divide whole numbers by unit fractions.
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H.10. Divide fractions by whole numbers.
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H.11. Divide fractions.
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H.12. Divide mixed numbers.
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H.13. Solve word problems involving division of fractions and mixed numbers.
I. Mixed Operations with Fractions and Decimals
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I.01. Add, subtract, multiply, or divide two fractions.
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I.02. Solve word problems involving mixed operations with fractions.
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I.03. Evaluate numerical expressions involving fractions.
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I.04. Add, subtract, multiply, or divide two decimals.
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I.05. Solve word problems involving mixed operations with decimals.
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I.06. Evaluate numerical expressions involving decimals.
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I.07. Apply mixed operations with fractions and decimals to real-world scenarios.
J. Integers
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J.01. Understand integers and their representation on a number line.
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J.02. Graph integers on horizontal and vertical number lines.
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J.03. Understand opposite integers.
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J.04. Understand absolute value.
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J.05. Compare and order integers.
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J.06. Solve word problems involving integers and absolute value.
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J.07. Apply integer operations to solve real-world problems.
K. Operations with Integers
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K.01. Add integers using counters or number lines.
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K.02. Subtract integers using counters or number lines.
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K.03. Add and subtract integers.
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K.04. Solve addition and subtraction word problems involving integers.
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K.05. Multiply integers.
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K.06. Divide integers.
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K.07. Perform mixed operations with integers.
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K.08. Evaluate numerical expressions involving integers.
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K.09. Apply integer operations to complex real-world problems.
L. Rational Numbers
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L.01. Represent rational numbers on a number line.
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L.02. Compare and order rational numbers using number lines.
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L.03. Compare and order rational numbers.
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L.04. Find opposites of rational numbers.
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L.05. Find absolute values of rational numbers.
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L.06. Classify rational numbers.
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L.07. Solve word problems involving rational numbers.
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L.08. Apply rational number operations to real-world scenarios.
M. Coordinate Plane
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M.01. Describe the coordinate plane.
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M.02. Locate points on a coordinate plane.
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M.03. Identify quadrants.
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M.04. Reflect points over axes.
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M.05. Determine distances between two points.
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M.06. Use coordinate planes as maps.
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M.07. Find area and perimeter of shapes on the coordinate plane.
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M.08. Apply coordinate geometry to solve real-world problems.
N. Ratios and Rates
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N.01. Write ratios using different notations (colon, fraction).
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N.02. Write ratios from word problems.
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N.03. Identify equivalent ratios.
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N.04. Create and interpret ratio tables.
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N.05. Solve word problems involving equivalent ratios.
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N.06. Determine unit rates.
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N.07. Solve word problems involving rates.
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N.08. Calculate speed, distance, or time.
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N.09. Solve ratio and rate problems using tape diagrams.
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N.10. Compare ratios and rates.
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N.11. Solve proportion problems.
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N.12. Solve scale drawing problems.
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N.13. Apply ratios and rates to solve real-world problems.
O. Proportional Relationships
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O.01. Identify proportional relationships from graphs.
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O.02. Identify proportional relationships from tables.
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O.03. Identify proportional relationships by graphing.
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O.04. Interpret graphs of proportional relationships.
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O.05. Apply proportional reasoning to solve real-world problems.
P. Percents
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P.01. Understand benchmark percents.
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P.02. Convert between percents, fractions, and decimals.
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P.03. Solve word problems involving percent conversions.
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P.04. Compare percents to fractions.
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P.05. Apply percents to solve real-world problems.
Q. Percents of Numbers
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Q.01. Estimate percents of numbers.
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Q.02. Solve percent problems using models (grid, strip).
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Q.03. Find percents of numbers and money amounts.
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Q.04. Solve word problems involving percents of numbers.
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Q.05. Find what percent one number is of another.
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Q.06. Solve more complex percent problems.
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Q.07. Apply percent calculations to real-world scenarios.
R. Units of Measurement
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R.01. Estimate customary and metric measurements.
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R.02. Convert and compare customary units.
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R.03. Convert and compare metric units.
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R.04. Convert between customary and metric units.
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R.05. Solve word problems involving unit conversions.
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R.06. Apply unit conversions to real-world problems.
S. Consumer Math
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S.01. Compare unit prices.
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S.02. Determine sale prices.
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S.03. Calculate tax, tip, markup, and discounts.
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S.04. Calculate simple interest.
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S.05. Apply consumer math skills to real-world situations.
T. Algebraic Expressions
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T.01. Write variable expressions with one or two operations.
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T.02. Write variable expressions from word problems.
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T.03. Evaluate variable expressions with whole numbers, decimals, fractions, and mixed numbers.
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T.04. Identify terms and coefficients.
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T.05. Apply algebraic expressions to solve problems.
U. Equivalent Expressions
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U.01. Identify equivalent expressions using models.
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U.02. Understand properties of addition and multiplication.
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U.03. Use distributive property to multiply expressions.
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U.04. Factor numerical and variable expressions.
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U.05. Write equivalent expressions using properties.
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U.06. Add and subtract like terms.
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U.07. Identify equivalent expressions.
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U.08. Apply equivalent expressions to solve problems.
V. One-Variable Equations
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V.01. Determine if a value satisfies an equation.
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V.02. Write equations from word problems.
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V.03. Model and solve equations using diagrams.
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V.04. Solve one-step equations with whole numbers, decimals, fractions, and integers.
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V.05. Solve one-step equations: word problems.
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V.06. Apply equation solving to solve real-world problems.
W. One-Variable Inequalities
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W.01. Understand solutions to inequalities.
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W.02. Graph inequalities on number lines.
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W.03. Write inequalities from number lines and word problems.
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W.04. Solve one-step inequalities.
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W.05. Graph solutions to one-step inequalities.
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W.06. Apply inequalities to solve real-world problems.
X. Two-Variable Equations
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X.01. Determine if an ordered pair satisfies an equation.
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X.02. Identify independent and dependent variables.
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X.03. Write equations from graphs and tables.
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X.04. Find values using two-variable equations.
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X.05. Solve word problems using two-variable equations.
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X.06. Complete tables and graph two-variable equations.
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X.07. Interpret graphs of two-variable equations.
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X.08. Apply two-variable equations to solve real-world problems.
Y. Lines and Angles
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Y.01. Identify lines, line segments, and rays.
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Y.02. Measure and classify angles.
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Y.03. Estimate angle measurements.
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Y.04. Name angles.
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Y.05. Understand complementary, supplementary, vertical, and adjacent angles.
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Y.06. Find missing angle measures.
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Y.07. Apply angle relationships to solve problems.
Z. Two-Dimensional Figures
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Z.01. Identify and classify polygons.
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Z.02. Classify triangles.
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Z.03. Understand the triangle inequality theorem.
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Z.04. Identify trapezoids and classify quadrilaterals.
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Z.05. Graph triangles and quadrilaterals.
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Z.06. Find missing angles in triangles and quadrilaterals.
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Z.07. Apply geometric properties to solve problems.
AA. Three-Dimensional Figures
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AA.01. Identify polyhedra.
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AA.02. Understand nets of three-dimensional figures.
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AA.03. Interpret front, side, and top views.
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AA.04. Apply spatial reasoning to solve problems.
BB. Perimeter and Area
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BB.01. Calculate perimeter.
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BB.02. Calculate area of rectangles and squares.
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BB.03. Calculate area of parallelograms, triangles, trapezoids, and rhombuses.
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BB.04. Calculate area of compound figures.
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BB.05. Solve word problems involving perimeter and area.
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BB.06. Apply area and perimeter calculations to real-world problems.
CC. Surface Area and Volume
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CC.01. Calculate volume of cubes and rectangular prisms.
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CC.02. Calculate volume of triangular prisms.
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CC.03. Calculate surface area of cubes and rectangular prisms.
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CC.04. Calculate surface area of triangular prisms and pyramids.
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CC.05. Solve word problems involving volume and surface area.
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CC.06. Relate volume and surface area.
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CC.07. Apply volume and surface area calculations to real-world problems.
DD. Data and Graphs
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DD.01. Create and interpret line plots.
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DD.02. Create and interpret frequency charts.
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DD.03. Create and interpret bar graphs.
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DD.04. Create and interpret double bar graphs.
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DD.05. Create and interpret histograms.
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DD.06. Interpret circle graphs.
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DD.07. Create and interpret line graphs.
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DD.08. Create and interpret double line graphs.
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DD.09. Create and interpret stem-and-leaf plots.
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DD.10. Interpret box plots.
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DD.11. Apply data analysis to solve real-world problems.
EE. Statistics
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EE.01. Identify statistical questions.
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EE.02. Calculate mean, median, mode, and range.
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EE.03. Interpret charts and graphs to find measures of center.
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EE.04. Calculate mean absolute deviation and interquartile range.
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EE.05. Identify outliers.
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EE.06. Interpret measures of center and variability.
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EE.07. Describe distributions in line plots.
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EE.08. Choose appropriate measures of center and variation.
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EE.09. Identify representative, random, and biased samples.
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EE.10. Apply statistical concepts to solve real-world problems.
FF. Probability
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FF.01. Determine sample spaces of simple events.
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FF.02. Use the counting principle.
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FF.03. Calculate probability of one event.
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FF.04. Make predictions based on probability.
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FF.05. Calculate probability of simple events and opposite events.
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FF.06. Apply probability concepts to solve problems.
GG. Financial Literacy
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GG.01. Compare checking accounts.
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GG.02. Use check registers.
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GG.03. Understand debit and credit cards.
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GG.04. Understand credit reports.
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GG.05. Explore paying for college.
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GG.06. Understand relationships between occupations, education, and income.
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GG.07. Apply financial literacy skills to make informed decisions.
