Information taken from the Ohio Department of Education.
CRITICAL AREA #1: Developing an understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends
Students generalize their understanding of place value to 1,000,000, understanding the relative sizes of numbers in each place. They apply their understanding of models for multiplication (equal-sized groups, arrays, area models), place value, and properties of operations, in particular the distributive property, as they develop, discuss, and use efficient, accurate, and generalizable methods to compute products of multi-digit whole numbers. Depending on the numbers and the context, they select and accurately apply appropriate methods to estimate or mentally calculate products. They develop fluency with efficient procedures for multiplying whole numbers; understand and explain why the procedures work based on place value and properties of operations; and use them to solve problems. Students apply their understanding of models for division, place value, properties of operations, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multi-digit dividends. They select and accurately apply appropriate methods to estimate and mentally calculate quotients, and interpret remainders based upon the context.
The standards below relate to this Critical Area:
Operations and Algebraic Thinking 4.OA
Use the four operations with whole numbers to solve problems.
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4.OA.1
4.OA.2
4.OA.3
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Operations and Algebraic Thinking 4.OA
Gain familiarity with factors and multiples.
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4.OA.4
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Number and Operations in Base Ten 4.NBT
Generalize place value understanding for multi-digit whole numbers.
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4.NBT.1
4.NBT.2
4.NBT.3
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Number and Operations in Base Ten 4.NBT
Use place value understanding and properties of operations to perform multi-digit arithmetic.
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4.NBT.5
4.NBT.6
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Measurement and Data 4.MD
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
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4.MD.2
4.MD.3
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CRITICAL AREA #2: Developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers
Students develop understanding of fraction equivalence and operations with fractions. They recognize that two different fractions can be equal (e.g., 15/9 = 5/3), and they develop methods for generating and recognizing equivalent fractions. Students extend previous understandings about how fractions are built from unit fractions, composing fractions from unit fractions, decomposing fractions into unit fractions, and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number.
The standards below relate to this Critical Area:
Number and Operations — Fractions 4.NF
Extend understanding of fraction equivalence and ordering.
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4.NF.1
4.NF.2
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Number and Operations — Fractions 4.NF
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
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4.NF.3a, b, c, d
4.NF.4a, b, c
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Number and Operations — Fractions 4.NF
Understand decimal notation for fractions, and compare decimal fractions.
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4.NF.5
4.NF.6
4.NF.7
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Measurement and Data 4.MD
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
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4.MD.1
4.MD.2
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Measurement and Data 4.MD
Represent and interpret data.
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4.MD.4
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CRITICAL AREA #3: Understand that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.
Students describe, analyze, compare, and classify two-dimensional shapes. Through building, drawing, and analyzing two-dimensional shapes, students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry.
The standards below relate to this Critical Area:
Measurement and Data 4.MD
Geometric measurement: understand concepts of angle and measure angles.
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4.MD.5a, b
4.MD.6
4.MD.7
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Geometry 4.G
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
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4.G.1
4.G.2
4.G.3
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STANDARDS AND CLUSTERS BEYOND THE CRITICAL AREAS OF FOCUS
Analyzing Patterns
Students create patterns with numbers (or shapes) that satisfy a given rule. They analyze these patterns for their characteristics.
The standards below relate to this cluster:
Operations and Algebraic Thinking 4.OA
Generate and analyze patterns.
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4.OA.5
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Adding and subtracting multi-digit whole numbers
Students efficiently and effectively add and subtract multi-digit whole numbers.
The standards below relate to this cluster:
Number and Operations in Base Ten4.NBT
Use place value understanding and properties of operations to perform multi-digit arithmetic.
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4.NBT.4
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