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4.M.S.4.1
Number and Operations
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4.M.O.4.1.1
read, write, order, and compare whole numbers to the millions place and decimals to thousandths place using a variety of strategies (e.g. symbols, manipulatives, number line, pictorial representations).
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4.M.O.4.1.2
demonstrate an understanding of the place value of each digit utilizing standard and expanded form through 1,000,000 with multiples of 10 [(5 X 10,000) + (3 X 1,000) + (4 X 10) + 2].
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4.M.O.4.1.3
estimate solutions to problems including rounding, benchmarks, compatible numbers and evaluate the reasonableness of the solution, justify results.
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4.M.O.4.1.4
using concrete models, benchmark fractions, number line
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4.M.O.4.1.4.a
compare and order fractions with like and unlike denominators
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4.M.O.4.1.4.b
add and subtract fractions with like and unlike denominators
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4.M.O.4.1.4.c
model equivalent fractions
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4.M.O.4.1.4.d
model addition and subtraction of mixed numbers with and without regrouping.
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4.M.O.4.1.5
analyze the relationship of fractions to decimals using concrete objects and pictorial representations.
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4.M.O.4.1.6
round decimals to the nearest whole, 10th, or 100th place.
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4.M.O.4.1.7
add and subtract whole numbers(up to five -digit number) and decimals to the 1000th place, multiply (up to three digits by two-digits, and divide(up to a three digit number with a one and two-digit number).
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4.M.O.4.1.8
solve multi-digit whole number multiplication problems using a variety of strategies, including the standard algorithm, justify methods used.
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4.M.O.4.1.9
quick recall of basic multiplication facts and corresponding division facts.
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4.M.O.4.1.10
create grade-level real-world appropriate story problems using multiple strategies including simple ratios, justify the reason for choosing a particular strategy and present results.
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4.M.S.4.2
Algebra
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4.M.O.4.2.1
determine the rule and explain how change in one variable relates to the change in the second variable, given an input/output model using two operations.
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4.M.O.4.2.2
recognize and describe relationships in which quantities change proportionally.
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4.M.O.4.2.3
represent the idea of a variable as an unknown quantity using a letter, write an expression using a variable to describe a real-world situation.
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4.M.O.4.2.4
solve real-world problems involving order of operations including grouping symbols and the four operations,
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4.M.S.4.3
Geometry
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4.M.O.4.3.1
identify, classify, compare and contrast two-dimensional (including quadrilateral shapes) and three-dimensional geometric figures according to attributes.
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4.M.O.4.3.2
recognize and describe three-dimensional objects from different perspectives.
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4.M.O.4.3.3
identify, draw, label, compare and classify
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4.M.O.4.3.3.a
lines (intersecting, parallel, and perpendicular)
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4.M.O.4.3.3.b
angles (acute, right, obtuse, and straight)
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4.M.O.4.3.4
identify and create a two-dimensional design with one line of symmetry.
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4.M.O.4.3.5
graph/plot ordered pairs on a first-quadrant grid and use the coordinate system to specify location and describe path.
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4.M.O.4.3.6
draw and identify parts of a circle: center point, diameter, and radius.
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4.M.O.4.3.7
select, analyze and justify appropriate use of transformations (translations, rotations, flips) to solve geometric problems including congruency and tiling (tessellations).
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4.M.S.4.4
Measurement
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4.M.O.4.4.1
select appropriate measuring tools, apply and convert standard units within a system to estimate, measure, compare and order real-world measurements including: lengths using customary (to the nearest one-fourth inch) and metric units, weight, capacity, temperature, and justify and present results.
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4.M.O.4.4.2
Quantify area by finding the total number of same sized units that cover a shape, develop a rule and justify the formula for the area of a rectangle using the area model representing multiplication.
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4.M.O.4.4.3
read time to the minute, calculate elapsed time in hours/minutes within a 24-hour period.
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4.M.O.4.4.4
given real-world situations, count coins and bills and determine correct change.
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4.M.S.4.5
Data Analysis and Probability
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4.M.O.4.5.1
read and interpret information represented on a circle graph.
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4.M.O.4.5.2
pose a grade-appropriate question that can be addressed with data, collect, organize, display, and analyze data in order to answer the question.
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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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4.M.O.4.5.3
design and conduct a simple probability experiment using concrete objects, examine and list all possible combinations using a tree diagram, represent the outcomes as a ratio and present the results.
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