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4.M4N
Number and Operations
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4.M4N1
Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system.
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4.M4N1.a
Identify place value names and places from hundredths through one million.
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4.M4N1.b
Equate a number's word name, its standard form, and its expanded form.
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4.M4N2
Students will understand and apply the concept of rounding numbers.
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4.M4N2.a
Round numbers to the nearest ten, hundred, or thousand.
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4.M4N2.b
Describe situations in which rounding numbers would be appropriate and determine whether to round to the nearest ten, hundred, or thousand.
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4.M4N2.c
Understand the meaning of rounding a decimal fraction to the nearest whole number.
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4.M4N2.d
Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers.
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4.M4N3
Students will solve problems involving multiplication of 2-3 digit numbers by 1-2 digit numbers.
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4.M4N4
Students will further develop their understanding of division of whole numbers and divide in problem solving situations without calculators.
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4.M4N4.a
Know the division facts with understanding and fluency.
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4.M4N4.b
Solve problems involving division by a 2-digit number (including those that generate a remainder).
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4.M4N4.c
Understand the relationship between dividend, divisor, quotient, and remainder.
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4.M4N4.d
Understand and explain the effect on the quotient of multiplying or dividing both the divisor and dividend by the same number. (2050 ÷ 50 yields the same answer as 205 ÷ 5).
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4.M4N5
Students will further develop their understanding of the meaning of decimal fractions and use them in computations.
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4.M4N5.a
Understand decimal fractions are a part of the base-ten system.
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4.M4N5.b
Understand the relative size of numbers and order two digit decimal fractions.
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4.M4N5.c
Add and subtract both one and two digit decimal fractions.
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4.M4N5.d
Model multiplication and division of decimal fractions by whole numbers.
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4.M4N5.e
Multiply and divide both one and two digit decimal fractions by whole numbers.
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4.M4N6
Students will further develop their understanding of the meaning of common fractions and use them in computations.
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4.M4N6.a
Understand representations of simple equivalent fractions.
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4.M4N6.b
Add and subtract fractions and mixed numbers with common denominators. (Denominators should not exceed twelve.)
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4.M4N6.c
Convert and use mixed numbers and improper fractions interchangeably.
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4.M4N7
Students will explain and use properties of the four arithmetic operations to solve and check problems.
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4.M4N7.a
Describe situations in which the four operations may be used and the relationships among them.
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4.M4N7.b
Compute using the order of operations, including parentheses.
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4.M4N7.c
Compute using the commutative, associative, and distributive properties.
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4.M4N7.d
Use mental math and estimation strategies to compute.
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4.M4M
Measurement
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4.M4M1
Students will understand the concept of weight and how to measure it.
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4.M4M1.a
Use standard and metric units to measure the weight of objects.
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4.M4M1.b
Know units used to measure weight (gram, kilogram, ounces, pounds and tons).
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4.M4M1.c
Compare one unit to another within a single system of measurement.
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4.M4M2
Students will understand the concept of angles and how to measure it.
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4.M4M2.a
Use tools, such as a protractor or angle ruler, and other methods such as paper folding, drawing a diagonal in a square, to measure angles.
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4.M4M2.b
Understand the meaning and measure of a half rotation (180°) and a full rotation (360°).
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4.M4G
Geometry
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4.M4G1
Students will define and identify the characteristics of geometric figures through examination and construction.
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4.M4G1.a
Examine and compare angles in order to classify and identify triangles by their angles.
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4.M4G1.b
Describe parallel and perpendicular lines in plane geometric figures.
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4.M4G1.c
Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi).
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4.M4G1.d
Compare and contrast the relationships among quadrilaterals.
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4.M4G2
Students will understand fundamental solid figures.
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4.M4G2.a
Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices.
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4.M4G2.b
Describe parallel and perpendicular lines and planes in connection with the rectangular prism.
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4.M4G2.c
Construct/collect models for solid geometric figures (cube, prisms, cylinder, etc.).
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4.M4G3
Students will use the coordinate system.
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4.M4G3.a
Understand and apply ordered pairs in the first quadrant of the coordinate system.
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4.M4G3.b
Locate a point in the first quadrant in the coordinate plane and name the ordered pair.
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4.M4G3.c
Graph ordered pairs in the first quadrant.
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4.M4A
Algebra
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4.M4A1
Students will represent and interpret mathematical relationships in quantitative expressions.
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4.M4A1.a
Understand and apply patterns and rules to describe relationships and solve problems.
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4.M4A1.b
Represent unknowns using symbols, such as square and triangle.
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4.M4A1.c
Write and evaluate mathematical expressions using symbols and different values.
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4.M4D
Data Analysis
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4.M4D1
Students will gather, organize, and display data according to the situation and compare related features.
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4.M4D1.a
Represent data in bar, line and pictographs.
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4.M4D1.b
Investigate the features and tendencies of graphs.
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4.M4D1.c
Compare different graphical representations for a given set of data.
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4.M4D1.d
Identify missing information and duplications in data.
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