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4.NO
Number and Operations
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4.1
The learner will read, write, model, and compute with non-negative rational numbers.
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4.1.01
Develop number sense for rational numbers 0.01 through 99,999.
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4.1.01.a
Connect model, number word, and number using a variety of representations.
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4.1.01.b
Build understanding of place value (hundredths through ten thousands).
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4.1.01.c
Compare and order rational numbers.
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4.1.01.d
Make estimates of rational numbers in appropriate situations.
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4.1.02
Develop fluency with multiplication and division:
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4.1.02.a
Two-digit by two-digit multiplication (larger numbers with calculator).
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4.1.02.b
Up to three-digit by two-digit division (larger numbers with calculator).
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4.1.02.c
Strategies for multiplying and dividing numbers.
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4.1.02.d
Estimation of products and quotients in appropriate situations.
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4.1.02.e
Relationships between operations.
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4.1.03
Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.
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4.1.04
Develop fluency with addition and subtraction of non-negative rational numbers with like denominators, including decimal fractions through hundredths.
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4.1.04.a
Develop and analyze strategies for adding and subtracting numbers.
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4.1.04.b
Estimate sums and differences.
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4.1.04.c
Judge the reasonableness of solutions.
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4.1.05
Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
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Addition: Fill in the missing digits (Fourth grade - B.3)
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Addition: Choose numbers with a particular sum (Fourth grade - B.7)
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Subtraction: Fill in the missing digits (Fourth grade - C.3)
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Subtraction: Choose numbers with a particular difference (Fourth grade - C.5)
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Multiplication: Multiplication facts to 12 (Fourth grade - D.1)
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Multiplication: Choose numbers with a particular product (Fourth grade - D.11)
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Multiplication: Inequalities with multiplication (Fourth grade - D.18)
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Division: Division facts to 12 (Fourth grade - E.1)
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Division: Division facts to 12: word problems (Fourth grade - E.2)
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Division: Divide by 1-digit numbers: complete the table (Fourth grade - E.6)
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Division: Choose numbers with a particular quotient (Fourth grade - E.8)
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Division: Inequalities with division (Fourth grade - E.20)
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Mixed operations: Multi-step word problems (Fourth grade - F.1)
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Mixed operations: Estimate sums, differences, products, and quotients: word problems (Fourth grade - F.2)
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Mixed operations: Word problems with extra or missing information (Fourth grade - F.3)
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Mixed operations: Solve word problems using guess-and-check (Fourth grade - F.4)
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Mixed operations: Choose numbers with a particular sum, difference, product, or quotient (Fourth grade - F.5)
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Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.6)
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Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.7)
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Logical reasoning: Guess two numbers based on sum and difference (Fourth grade - K.1)
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Logical reasoning: Guess two numbers based on sum, difference, product, and quotient (Fourth grade - K.2)
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4.MEA
Measurement
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4.2
The learner will understand and use perimeter and area.
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4.2.01
Develop strategies to determine the area of rectangles and the perimeter of plane figures.
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4.2.02
Solve problems involving perimeter of plane figures and areas of rectangles.
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4.GEO
Geometry
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4.3
The learner will recognize and use geometric properties and relationships.
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4.3.01
Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.
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4.3.02
Describe the relative position of lines using concepts of parallelism and perpendicularity.
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4.3.03
Identify, predict, and describe the results of transformations of plane figures.
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4.3.03.a
Reflections.
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4.3.03.b
Translations.
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4.3.03.c
Rotations.
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4.DAP
Data Analysis and Probability
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4.4
The learner will understand and use graphs, probability, and data analysis.
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4.4.01
Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems.
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Data, charts, and graphs: Read a table (Fourth grade - J.1)
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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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4.4.02
Describe the distribution of data using median, range and mode.
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4.4.03
Solve problems by comparing two sets of related data.
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4.4.04
Design experiments and list all possible outcomes and probabilities for an event.
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4.ALG
Algebra
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4.5
The learner will demonstrate an understanding of mathematical relationships.
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4.5.01
Identify, describe, and generalize relationships in which:
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4.5.01.a
Quantities change proportionally.
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4.5.01.b
Change in one quantity relates to change in a second quantity.
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4.5.02
Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.
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4.5.03
Verify mathematical relationships using:
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4.5.03.a
Models, words, and numbers.
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4.5.03.b
Order of operations and the identity, commutative, associative, and distributive properties.
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