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K-4.1
Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems.
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K-4. 1.1
demonstrate meanings for whole numbers, and commonly used fractions and decimals (for example, 1/3, 3/4, 0.5, 0.75), and represent equivalent forms of the same number through the use of physical models, drawings, calculators, and computers;
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K-4. 1.2
read and write whole numbers and know place-value concepts and numeration through their relationships to counting, ordering, and grouping;
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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 5: Represent numbers up to 5 (Kindergarten - B.2)
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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: 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: Names of numbers up to 10 (Kindergarten - C.10)
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Numbers and counting up to 10: Complete a sequence (Kindergarten - C.11)
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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: 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: 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 beyond 20: Number lines (Kindergarten - E.3)
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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: Writing numbers in words (First grade - A.16)
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Comparing: Comparing - review (First grade - G.1)
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Comparing: Comparing numbers up to 10 (First grade - G.2)
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Comparing: Comparing numbers up to 100 (First grade - G.3)
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Comparing: Comparison word problems (First grade - G.4)
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Sorting, ordering, and classifying: Put numbers in order (First grade - Q.2)
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Comparing and ordering: Comparing numbers up to 100 (Second grade - B.1)
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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: Comparing numbers up to 1,000 (Second grade - B.3)
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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: 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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Numbers and comparing: Number sequences (Third grade - A.7)
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Numbers and comparing: Put numbers in order (Third grade - A.8)
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Numbers and comparing: Which number is greatest/least? (Third grade - A.9)
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Numbers and comparing: Comparing numbers (Third grade - A.10)
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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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Number sense: Place values (Fourth grade - A.1)
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Number sense: Convert between place values (Fourth grade - A.2)
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Number sense: Inequalities with number lines (Fourth grade - A.8)
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Number sense: Compare numbers up to billions (Fourth grade - A.9)
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K-4. 1.3
use numbers to count, to measure, to label, and to indicate location;
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K-4. 1.4
develop, test, and explain conjectures about properties of whole numbers, and commonly-used fractions and decimals (for example, 1/3, 3/4, 0.5, 0.75); and
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K-4. 1.5
use number sense to estimate and justify the reasonableness of solutions to problems involving whole numbers, and commonly-used fractions and decimals (for example, 1/3, 3/4, 0.5, 0.75).
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K-4.2
Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
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K-4. 2.1
reproduce, extend, create, and describe patterns and sequences using a variety of materials (for example, beans, toothpicks, pattern blocks, calculators, unifix cubes, colored tiles);
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K-4. 2.2
describe patterns and other relationships using tables, graphs, and open sentences;
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K-4. 2.3
recognize when a pattern exists and use that information to solve a problem; and
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K-4. 2.4
observe and explain how a change in one quantity can produce a change in another (for example, the relationship between the number of bicycles and the numbers of wheels).
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K-4.3
Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.
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K-4. 3.1
construct, read, and interpret displays of data including tables, charts, pictographs, and bar graphs;
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Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
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Data and graphs: Making graphs (Kindergarten - O.1)
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Data and graphs: Record data with tally charts, picture graphs, tables (First grade - L.1)
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Data and graphs: Interpret data in tally charts, picture graphs, tables (First grade - L.2)
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Data and graphs: Interpret bar graphs (First grade - L.3)
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Data and graphs: Which bar graph is correct? (First grade - L.4)
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Sorting, ordering, and classifying: Venn diagrams (First grade - Q.1)
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Data and graphs: Interpret bar graphs (Second grade - R.2)
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Data and graphs: Which bar graph is correct? (Second grade - R.3)
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Data and graphs: Interpret line plots (Second grade - R.4)
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Data and graphs: Interpret pictographs (Second grade - R.5)
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Data and graphs: Interpret line graphs (Second grade - R.6)
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Data and graphs: Record data using line graphs (Second grade - R.7)
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Data and graphs: Interpret Venn diagrams (Second grade - R.8)
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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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Graphs: Pictographs (Third grade - N.5)
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Graphs: Line graphs (Third grade - N.6)
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Graphs: Venn diagrams (Third grade - N.7)
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Data, charts, and graphs: Read a table (Fourth grade - J.1)
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Data, charts, and graphs: Line graphs (Fourth grade - J.2)
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Data, charts, and graphs: Bar graphs (Fourth grade - J.3)
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Data, charts, and graphs: Frequency charts (Fourth grade - J.4)
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Data, charts, and graphs: Stem-and-leaf plots (Fourth grade - J.5)
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Data, charts, and graphs: Circle graphs (Fourth grade - J.6)
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Data, charts, and graphs: Choose the best type of graph (Fourth grade - J.7)
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K-4. 3.2
interpret data using the concepts of largest, smallest, most often, and middle;
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Comparing: Fewer, equal, and more (Kindergarten - G.1)
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Comparing: Fewer and more - comparing groups (Kindergarten - G.2)
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Comparing: Fewer and more - with charts (Kindergarten - G.3)
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Comparing: Fewer and more - mixed (Kindergarten - G.4)
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Probability and statistics: Mode and range (First grade - P.3)
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Comparing and ordering: Greatest and least - word problems - up to 100 (Second grade - B.6)
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Comparing and ordering: Greatest and least - word problems - up to 1,000 (Second grade - B.7)
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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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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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Probability and statistics: Mean, median, mode, and range (Fourth grade - U.3)
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Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - U.4)
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K-4. 3.3
generate, analyze, and make predictions based on data obtained from surveys and chance devices; and
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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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Probability and statistics: Calculate probability (Fourth grade - U.1)
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Probability and statistics: Make predictions (Fourth grade - U.2)
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K-4. 3.4
solve problems using various strategies for making combinations (for example, determining the number of different outfits that can be made using two blouses and three skirts).
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K-4.4
Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.
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K-4. 4.1
recognize shapes and their relationships (for example, symmetry, congruence) using a variety of materials (for example, pasta, boxes, pattern blocks);
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K-4. 4.2
identify, describe, draw, compare classify, and build physical models of geometric figures;
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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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Sorting, ordering, and classifying: Classify by color (Kindergarten - N.4)
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Geometry: Identify shapes I (Kindergarten - S.1)
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Geometry: Identify shapes II (Kindergarten - S.2)
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Geometry: Identify solid figures (Kindergarten - S.3)
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Geometry: Relate planar and solid figures (Kindergarten - S.4)
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Geometry: Count sides and corners (Kindergarten - S.5)
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Geometry: Compare sides and corners (Kindergarten - S.6)
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Geometry: Identify 2-dimensional shapes (First grade - J.1)
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Geometry: Identify 3-dimensional figures (First grade - J.2)
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Geometry: Relate planar and solid figures (First grade - J.4)
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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: 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: Identify planar and solid shapes (Second grade - T.1)
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Geometry: Compare sides, vertices, edges, and faces (Second grade - T.2)
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Geometry: Count sides, vertices, edges, and faces (Second grade - T.3)
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Geometry: Identify planar and solid shapes (Third grade - P.1)
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Geometry: Count and compare sides, edges, faces, and vertices (Third grade - P.2)
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Geometry: Identify planar and solid figures (Fourth grade - P.1)
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Geometry: Which 2-dimensional shape is being described? (Fourth grade - P.4)
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Geometry: Which 3-dimensional figure is being described? (Fourth grade - P.5)
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Geometry: Nets of 3-dimensional figures (Fourth grade - P.9)
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K-4. 4.3
relate geometric ideas to measurement and number sense;
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K-4. 4.4
solve problems using geometric relationships and spatial reasoning (for example, using rectangular coordinates to locate objects, constructing models of three-dimensional objects); and
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Positions: Inside and outside (Kindergarten - K.1)
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Positions: Left, middle, and right (Kindergarten - K.2)
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Positions: Top, middle, and bottom (Kindergarten - K.3)
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Positions: Above and below (Kindergarten - K.4)
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Positions: Location in a three-by-three grid (Kindergarten - K.5)
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Spatial sense: Left, middle, and right (First grade - K.1)
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Spatial sense: Above, below, top, middle, and bottom (First grade - K.2)
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Spatial sense: Location in a three-by-three grid (First grade - K.3)
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Data and graphs: Coordinate graphs (Second grade - R.1)
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Coordinate graphs: Coordinate graphs as maps (Fourth grade - I.3)
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Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)
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K-4. 4.5
recognize geometry in their world (for example, in art and in nature).
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K-4.5
Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning used in solving these problems.
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K-4. 5.1
know, use, describe, and estimate measures of length, perimeter, capacity, weight, time, and temperature;
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K-4. 5.2
compare and order objects according to measurable attributes (for example, longest to shortest, lightest to heaviest);
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K-4. 5.3
demonstrate the process of measuring and explain the concepts related to units of measurement;
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K-4. 5.4
use the approximate measures of familiar objects (for example, the width of your finger, the temperature of a room, the weight of a gallon of milk) to develop a sense of measurement; and
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K-4. 5.5
select and use appropriate standard and non-standard units of measurement in problem-solving situations.
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K-4.6
Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning used in solving these problems.
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K-4. 6.1
demonstrate conceptual meanings for the four basic arithmetic operations of addition, subtraction, multiplication, and division;
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K-4. 6.2
add and subtract commonly-used fractions and decimals using physical models (for example, 1/3, 3/4, 0.5, 0.75);
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K-4. 6.3
demonstrate fluency with basic addition, subtraction, multiplication, and division facts without the use of a calculator;
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K-4. 6.4
construct, use, and explain procedures to compute and estimate with whole numbers; and
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K-4. 6.5
select and use appropriate algorithms for computing with whole numbers in problem-solving situations.
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