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K-3.6
Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.
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K-3.6.A
Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.
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K-3.6.A.1a
Identify whole numbers and compare them using the symbols <, >, or = and the words "less than", "greater than", or "equal to", applying counting, grouping and place value concepts.
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Numbers and counting up to 3: Count to 3 (Kindergarten - A.1)
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Numbers and counting up to 3: Represent numbers up to 3 (Kindergarten - A.2)
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Numbers and counting up to 3: Count by typing (Kindergarten - A.3)
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Numbers and counting up to 5: Count to 5 (Kindergarten - B.1)
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Numbers and counting up to 5: Represent numbers up to 5 (Kindergarten - B.2)
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Numbers and counting up to 5: Count by typing (Kindergarten - B.3)
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Numbers and counting up to 5: Count up (Kindergarten - B.4)
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Numbers and counting up to 5: Count down (Kindergarten - B.5)
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Numbers and counting up to 10: Count to 10 (Kindergarten - C.1)
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Numbers and counting up to 10: Represent numbers up to 10 (Kindergarten - C.2)
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Numbers and counting up to 10: Count by typing (Kindergarten - C.3)
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Numbers and counting up to 10: Count up and down - with pictures (Kindergarten - C.4)
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Numbers and counting up to 10: Count up and down - with numbers (Kindergarten - C.5)
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Numbers and counting up to 10: Number lines (Kindergarten - C.7)
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Numbers and counting up to 10: Before, after, and between (Kindergarten - C.8)
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Numbers and counting up to 10: Count forward and backward (Kindergarten - C.9)
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Numbers and counting up to 10: Names of numbers up to 10 (Kindergarten - C.10)
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Numbers and counting up to 20: Count to 20 (Kindergarten - D.1)
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Numbers and counting up to 20: Represent numbers up to 20 (Kindergarten - D.2)
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Numbers and counting up to 20: Count by typing (Kindergarten - D.3)
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Numbers and counting up to 20: Count up and down (Kindergarten - D.4)
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Numbers and counting up to 20: Number lines (Kindergarten - D.6)
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Numbers and counting up to 20: Before, after, and between (Kindergarten - D.7)
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Numbers and counting up to 20: Count forward and backward (Kindergarten - D.8)
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Numbers and counting up to 20: Names of numbers (Kindergarten - D.9)
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Numbers and counting up to 20: Complete a sequence (Kindergarten - D.10)
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Numbers and counting up to 20: Count tens and ones (Kindergarten - D.11)
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Numbers and counting beyond 20: Count to 30 (Kindergarten - E.1)
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Numbers and counting beyond 20: Count groups of ten (Kindergarten - E.2)
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Numbers and counting beyond 20: Number lines (Kindergarten - E.3)
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Numbers and counting beyond 20: Count tens and ones (Kindergarten - E.4)
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Skip-counting: Skip-count by twos (Kindergarten - F.1)
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Skip-counting: Skip-count by fives (Kindergarten - F.2)
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Skip-counting: Skip-count by tens (Kindergarten - F.3)
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Skip-counting: Skip-count by twos, fives, and tens (Kindergarten - F.4)
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Sorting, ordering, and classifying: Put numbers up to 10 in order (Kindergarten - N.6)
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Sorting, ordering, and classifying: Put numbers up to 30 in order (Kindergarten - N.7)
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Counting and number patterns: Counting review - 0 to 10 (First grade - A.1)
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Counting and number patterns: Counting review - up to 20 (First grade - A.2)
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Counting and number patterns: Counting tens and ones - up to 30 (First grade - A.3)
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Counting and number patterns: Counting - up to 30 (First grade - A.4)
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Counting and number patterns: Counting - up to 100 (First grade - A.5)
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Counting and number patterns: Skip-counting - with pictures (First grade - A.6)
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Counting and number patterns: Counting by twos, fives, and tens - up to 100 (First grade - A.7)
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Counting and number patterns: Counting forward and backward (First grade - A.8)
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Counting and number patterns: Number lines (First grade - A.9)
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Counting and number patterns: Hundred chart (First grade - A.10)
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Counting and number patterns: Identifying even and odd numbers (First grade - A.11)
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Counting and number patterns: Which even or odd number comes before or after? (First grade - A.12)
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Counting and number patterns: Skip-counting patterns - with tables (First grade - A.13)
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Counting and number patterns: Sequences - count up and down by 1, 2, 3, 5, and 10 (First grade - A.14)
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Counting and number patterns: Ordinal numbers (First grade - A.15)
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Counting and number patterns: Writing numbers in words (First grade - A.16)
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Sorting, ordering, and classifying: Put numbers in order (First grade - Q.2)
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Counting and number patterns: Skip-counting (Second grade - A.1)
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Counting and number patterns: Skip-counting sequences (Second grade - A.2)
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Counting and number patterns: Number lines - up to 100 (Second grade - A.4)
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Counting and number patterns: Hundreds chart (Second grade - A.5)
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Counting and number patterns: Even or odd I (Second grade - A.6)
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Counting and number patterns: Even or odd II (Second grade - A.7)
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Counting and number patterns: Which even or odd number comes before or after? (Second grade - A.8)
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Counting and number patterns: Skip-counting stories (Second grade - A.9)
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Counting and number patterns: Skip-counting puzzles (Second grade - A.10)
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Counting and number patterns: Number lines - up to 1,000 (Second grade - A.11)
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Comparing and ordering: Inequalities with addition and subtraction - up to 100 (Second grade - B.2)
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Comparing and ordering: Put numbers up to 100 in order (Second grade - B.4)
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Comparing and ordering: Put numbers up to 1,000 in order (Second grade - B.5)
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Names of numbers: Ordinal numbers up to 10th (Second grade - C.1)
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Names of numbers: Ordinal numbers up to 100th (Second grade - C.2)
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Names of numbers: Writing numbers up to 100 in words (Second grade - C.3)
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Names of numbers: Writing numbers up to 1,000 in words (Second grade - C.4)
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Place values: Place-value models - tens and ones (Second grade - M.1)
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Place values: Place-value models - up to hundreds (Second grade - M.2)
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Place values: Place-value models - up to thousands (Second grade - M.3)
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Place values: Value of underlined digit - tens and ones (Second grade - M.4)
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Place values: Value of underlined digit - up to hundreds (Second grade - M.5)
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Place values: Value of underlined digit - up to thousands (Second grade - M.6)
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Place values: Regrouping tens and ones I (Second grade - M.7)
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Place values: Regrouping tens and ones II (Second grade - M.8)
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Place values: Convert to/from a number - tens and ones (Second grade - M.9)
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Place values: Convert to/from a number - up to hundreds (Second grade - M.10)
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Place values: Convert to/from a number - up to thousands (Second grade - M.11)
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Place values: Convert between place values - up to thousands (Second grade - M.12)
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Place values: Convert from expanded form - up to hundreds (Second grade - M.13)
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Place values: Convert from expanded form - up to thousands (Second grade - M.14)
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Place values: Identify the digit in the ones, tens, hundreds, or thousands place (Second grade - M.15)
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Estimation and rounding: Round to the nearest ten (Second grade - N.2)
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Estimation and rounding: Round to the nearest ten or hundred (Second grade - N.3)
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Estimation and rounding: Round to the nearest ten, hundred, or thousand (Second grade - N.4)
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Numbers and comparing: Write numbers in words (Third grade - A.1)
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Numbers and comparing: Ordinal numbers to 100th (Third grade - A.2)
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Numbers and comparing: Even and odd I (Third grade - A.4)
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Numbers and comparing: Even and odd II (Third grade - A.5)
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Numbers and comparing: Skip-counting puzzles (Third grade - A.6)
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Numbers and comparing: Put numbers in order (Third grade - A.8)
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Numbers and comparing: Multi-step inequalities (Third grade - A.12)
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Place value: Place value models (Third grade - B.1)
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Place value: Place value names (Third grade - B.2)
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Place value: Value of a digit (Third grade - B.3)
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Place value: Identify the digit with a particular place value (Third grade - B.4)
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Place value: Convert to/from a number (Third grade - B.5)
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Place value: Convert between place values (Third grade - B.6)
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Place value: Convert from expanded form (Third grade - B.7)
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Place value: Convert between standard and expanded form (Third grade - B.8)
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Place value: Place value word problems (Third grade - B.9)
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Estimation and rounding: Rounding (Third grade - J.1)
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Estimation and rounding: Round money amounts (Third grade - J.2)
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Estimation and rounding: Rounding puzzles (Third grade - J.3)
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Estimation and rounding: Solve inequalities using estimation (Third grade - J.4)
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K-3.6.A.1b
Identify and model fractions using concrete materials and pictorial representations.
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K-3.6.B
Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.
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K-3.6.B.1
Solve one- and two-step problems with whole numbers using addition, subtraction, multiplication and division.
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K-3.6.C
Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.
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K-3.6.C.1a
Select and perform computational procedures to solve problems with whole numbers.
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K-3.6.C.1b
Show evidence that whole number computational results are correct and/or that estimates are reasonable.
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K-3.6.D
Solve problems using comparison of quantities, ratios, proportions and percents.
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K-3.6.D.1
Compare the numbers of objects in groups.
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K-3.7
Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.
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K-3.7.A
Measure and compare quantities using appropriate units, instruments and methods.
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K-3.7.A.1a
Measure length, volume and weight/mass using rulers, scales and other appropriate measuring instruments in the customary and metric systems.
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K-3.7.A.1b
Measure units of time using appropriate instruments (e.g., calendars, clocks, watches-both analog and digital).
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K-3.7.A.1c
Identify and describe the relative values and relationships among coins and solve addition and subtraction problems using currency.
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Money: Pennies and nickels (Pre-K - J.1)
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Money: Dimes and quarters (Pre-K - J.2)
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Money: Pennies, nickels, dimes, and quarters (Pre-K - J.3)
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Money: Count pennies (Pre-K - J.4)
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Money: Coin names - penny through quarter (Kindergarten - R.1)
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Money: Coin values - penny through quarter (Kindergarten - R.2)
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Money: Count money - pennies only (Kindergarten - R.3)
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Money: Count money - pennies and nickels (Kindergarten - R.4)
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Money: Count money - pennies, nickels, and dimes (Kindergarten - R.5)
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Money: Equivalent coins I (Kindergarten - R.6)
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Money: Equivalent coins II (Kindergarten - R.7)
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Money: Equivalent coins III (Kindergarten - R.8)
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Money: Compare two groups of coins (Kindergarten - R.9)
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Money: Money names and values (First grade - N.1)
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Money: Count pennies, nickels, and dimes (First grade - N.2)
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Money: Count pennies, nickels, dimes, and quarters (First grade - N.3)
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Money: Equivalent coins I (First grade - N.4)
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Money: Equivalent coins II (First grade - N.5)
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Money: Money - word problems (First grade - N.6)
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Money: Compare money amounts (First grade - N.7)
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Money: Least number of coins (First grade - N.8)
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Money: Purchases: do you have enough money? (First grade - N.9)
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Money: Identify names and values of common coins/bills up to $1 (Second grade - P.1)
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Money: Identify names and values of all coins (Second grade - P.2)
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Money: Count money - up to $1 (Second grade - P.3)
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Money: Count money - up to $5 (Second grade - P.4)
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Money: Equivalent amounts of money - up to $1 (Second grade - P.5)
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Money: Equivalent coins I (Second grade - P.6)
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Money: Equivalent coins II (Second grade - P.7)
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Money: Add and subtract money - up to $1 (Second grade - P.8)
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Money: Add and subtract money - word problems - up to $1 (Second grade - P.9)
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Money: Which picture shows more - up to $5 (Second grade - P.10)
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Money: Least number of coins (Second grade - P.11)
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Money: Purchases - do you have enough money - up to $1 (Second grade - P.12)
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Money: Purchases - do you have enough money - up to $5 (Second grade - P.13)
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Money: How much more to make a dollar? (Second grade - P.14)
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Money: Making change (Second grade - P.15)
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Money: Count coins and bills - up to $5 bill (Third grade - L.1)
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Money: Which picture shows more? (Third grade - L.2)
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Money: Purchases - do you have enough money - up to $10 (Third grade - L.3)
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Money: Making change (Third grade - L.4)
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Money: Inequalities with money (Third grade - L.5)
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Money: Put money amounts in order (Third grade - L.6)
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Money: Add and subtract money amounts (Third grade - L.7)
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Money: Add money amounts - word problems (Third grade - L.8)
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Money: Price lists (Third grade - L.9)
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Money: Multiply money amounts (Third grade - L.10)
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Money: Divide money amounts (Third grade - L.11)
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K-3.7.A.1d
Read temperatures to the nearest degree from Celsius and Fahrenheit thermometers.
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K-3.7.B
Estimate measurements and determine acceptable levels of accuracy.
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K-3.7.B.1a
Given a problem, describe possible methods for estimating a given measure.
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K-3.7.B.1b
Compare estimated measures to actual measures taken with appropriate measuring instruments.
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K-3.7.C
Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.
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K-3.7.C.1
Determine perimeter and area using concrete materials (e.g., geoboards, square tiles, grids, measurement instruments).
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K-3.8
Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.
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K-3.8.A
Describe numerical relationships using variables and patterns.
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K-3.8.A.1a
Identify, describe and extend simple geometric and numeric patterns.
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K-3.8.A.1b
Solve simple number sentences (e.g., 2 + __ = 5).
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K-3.8.B
Interpret and describe numerical relationships using tables, graphs and symbols.
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K-3.8.B.1
Solve problems involving pattern identification and completion of patterns.
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K-3.8.C
Solve problems using systems of numbers and their properties.
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K-3.8.C.1
Describe the basic arithmetic operations (addition, subtraction, multiplication, division) orally, in writing and using concrete materials and drawings.
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K-3.8.D
Use algebraic concepts and procedures to represent and solve problems.
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K-3.8.D.1
Find the unknown numbers in whole-number addition, subtraction, multiplication and division situations.
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K-3.9
Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.
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K-3.9.A
Demonstrate and apply geometric concepts involving points, lines, planes and space.
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K-3.9.A.1a
Identify related two- and three-dimensional shapes including circle-sphere, square-cube, triangle-pyramid, rectangle-rectangular prism and their basic properties.
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K-3.9.A.1b
Draw two-dimensional shapes.
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K-3.9.B
Identify, describe, classify and compare relationships using points, lines, planes and solids.
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K-3.9.B.1a
Identify and describe characteristics, similarities and differences of geometric shapes.
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Sorting, ordering, and classifying: Same (Kindergarten - N.1)
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Sorting, ordering, and classifying: Different (Kindergarten - N.2)
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Sorting, ordering, and classifying: Same and different (Kindergarten - N.3)
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Geometry: Count sides and corners (Kindergarten - S.5)
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Geometry: Geometry of everyday objects (Kindergarten - S.7)
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Geometry: Count sides and vertices (First grade - J.5)
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Geometry: Count edges, vertices, and faces (First grade - J.6)
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Geometry: Count sides, vertices, edges, and faces (Second grade - T.3)
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Geometry: Congruent (Second grade - T.5)
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Geometry: Count and compare sides, edges, faces, and vertices (Third grade - P.2)
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Geometry: Angles: greater than, less than, or equal to a right angle (Third grade - P.9)
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Geometry: Lines, line segments, and rays (Third grade - P.10)
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Geometry: Is it a polygon? (Third grade - P.11)
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K-3.9.B.1b
Sort, classify and compare familiar shapes.
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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Geometry: Compare sides and corners (Kindergarten - S.6)
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Geometry: Compare sides and vertices (First grade - J.7)
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Geometry: Compare edges, vertices, and faces (First grade - J.8)
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Geometry: Same shape (First grade - J.12)
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Geometry: Compare sides, vertices, edges, and faces (Second grade - T.2)
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Geometry: Count and compare sides, edges, faces, and vertices (Third grade - P.2)
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Geometry: Similar and congruent (Third grade - P.4)
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Geometry: Triangles: acute, right, and obtuse (Third grade - P.13)
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K-3.9.B.1c
Identify lines of symmetry in simple figures and construct symmetrical figures using various concrete materials.
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K-3.9.C
Construct convincing arguments and proofs to solve problems.
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K-3.9.C.1
Draw logical conclusions and communicate reasoning about simple geometric figures and patterns using concrete materials, diagrams and contemporary technology.
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K-3.10
Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.
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K-3.10.A
Organize, describe and make predictions from existing data.
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K-3.10.A.1a
Organize and display data using pictures, tallies, tables, charts or bar graphs.
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K-3.10.A.1b
Answer questions and make predictions based on given data.
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Probability and statistics: Mode and range (First grade - P.3)
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Data and graphs: Coordinate graphs (Second grade - R.1)
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Data and graphs: Which bar graph is correct? (Second grade - R.3)
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Probability and statistics: Median, mode, and range (Second grade - V.3)
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Probability and statistics: Interpret graphs to find median, mode, and range (Second grade - V.4)
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Mixed operations: Interpret data in tables (Third grade - G.1)
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Graphs: Coordinate graphs I (Third grade - N.1)
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Graphs: Bar graphs (Third grade - N.3)
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Graphs: Line plots (Third grade - N.4)
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Probability and statistics: Mean, median, mode, and range (Third grade - S.2)
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Probability and statistics: Interpret charts to find mean, median, mode, and range (Third grade - S.3)
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K-3.10.B
Formulate questions, design data collection methods, gather and analyze data and communicate findings.
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K-3.10.B.1a
Formulate questions of interest and design surveys or experiments to gather data.
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K-3.10.B.1b
Collect, organize and describe data using pictures, tallies, tables, charts or bar graphs.
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K-3.10.B.1c
Analyze data, draw conclusions and communicate the results.
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K-3.10.C
Determine, describe and apply the probabilities of events.
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K-3.10.C.1a
Describe the concept of probability in relationship to likelihood and chance.
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Probability: More or less likely (Kindergarten - P.1)
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Probability and statistics: More, less, and equally likely (First grade - P.1)
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Probability and statistics: Certain, probable, unlikely, and impossible (First grade - P.2)
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Probability and statistics: More, less, and equally likely (Second grade - V.1)
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Probability and statistics: Certain, probable, unlikely, and impossible (Second grade - V.2)
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Probability and statistics: Certain, probable, unlikely, and impossible (Third grade - S.1)
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K-3.10.C.1b
Systematically list all possible outcomes of a simple one-stage experiment (e.g., the flip of one coin, the toss of one die, the spin of a spinner).
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