English Language Arts

Mathematics

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## IN.4.AT.ALGEBRAIC THINKING

ALGEBRAIC THINKING
4.AT.1. Solve real-world problems involving addition and subtraction of multi-digit whole numbers (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem).
Vocabulary Terms Problem Solving
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.AT.2. Recognize and apply the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to solve real-world and other mathematical problems.
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

4.AT.3. Interpret a multiplication equation as a comparison (e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7, and 7 times as many as 5). Represent verbal statements of multiplicative comparisons as multiplication equations.
Vocabulary Terms Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.AT.4. Solve real-world problems with whole numbers involving multiplicative comparison (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem), distinguishing multiplicative comparison from additive comparison. [In
Vocabulary Terms Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.AT.5. Solve real-world problems involving addition and subtraction of fractions referring to the same whole and having common denominators (e.g., by using visual fraction models and equations to represent the problem).
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

## IN.4.C.COMPUTATION

COMPUTATION
4.C.1. Add and subtract multi-digit whole numbers fluently using a standard algorithmic approach.
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.C.2. Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Describe the strategy and explain the reasoning.
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.C.3. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Describe the strategy and
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

4.C.4. Multiply fluently within 100.
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

4.C.5. Add and subtract fractions with common denominators. Decompose a fraction into a sum of fractions with common denominators. Understand addition and subtraction of fractions as combining and separating parts referring to the same whole.
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

4.C.6. Add and subtract mixed numbers with common denominators (e.g. by replacing each mixed number with an equivalent fraction and/or by using properties of operations and the relationship between addition and subtraction).
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.C.7. Show how the order in which two numbers are multiplied (commutative property) and how numbers are grouped in multiplication (associative property) will not change the product. Use these properties to show that numbers can by multiplied in any order. Under
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

## IN.4.DA.DATA ANALYSIS

DATA ANALYSIS
4.DA.1. Formulate questions that can be addressed with data. Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (including frequency tables), line plots, and bar graphs.

4.DA.3. Interpret data displayed in a circle graph.
Vocabulary Terms Data Analysis
Vocabulary Terms Graphs and Charts
Vocabulary Terms Tables and Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs

## IN.4.G.GEOMETRY

GEOMETRY
4.G.2. Recognize and draw lines of symmetry in two-dimensional figures. Identify figures that have lines of symmetry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

4.G.3. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint.
Flip Charts Lines & Angles
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.G.4. Identify, describe, and draw rays, angles (right, acute, obtuse), and perpendicular and parallel lines using appropriate tools (e.g., ruler, straightedge and technology). Identify these in two-dimensional figures.
Flip Charts Lines & Angles
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.G.5. Classify triangles and quadrilaterals based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles (right, acute, obtuse).
Flip Charts Polygons
Flip Charts Polygons
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics

## IN.4.M.MEASUREMENT

MEASUREMENT
4.M.1. Measure length to the nearest quarter-inch, eighth-inch, and millimeter.
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

4.M.2. Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Express measurements in a larger unit in terms of a smaller unit within a single system of measurement. Record measurement equiva

4.M.4. Apply the area and perimeter formulas for rectangles to solve real-world problems and other mathematical problems. Recognize area as additive and find the area of complex shapes composed of rectangles by decomposing them into non-overlapping rectangles an
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

4.M.5. Understand that an angle is measured with reference to a circle, with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. Understand an angle that turns
Flip Charts Lines & Angles
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.M.6. Measure angles in whole-number degrees using appropriate tools. Sketch angles of specified measure.
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

## IN.4.NS.NUMBER SENSE

NUMBER SENSE
4.NS.1. Read and write whole numbers up to 1,000,000. Use words, models, standard form and expanded form to represent and show equivalent forms of whole numbers up to 1,000,000.
Vocabulary Terms Expanding Numbers
Vocabulary Terms Place Value
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words to 1,000
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

4.NS.2. Compare two whole numbers up to 1,000,000 using >, =, and < symbols.
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers

4.NS.3. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers. Name and write mixed numbers using objects or pictures. Name and write mixed numbers as improper fractions using objects or pictures.
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.NS.4. Explain why a fraction, a/b, is equivalent to a fraction, (n × a)/(n × b), by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to rec
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

4.NS.5. Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark, such as 0, 1/2, and 1). Recognize comparisons are valid only when the two fractions refer to t
Vocabulary Terms Comparing Fractions
Vocabulary Terms Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

4.NS.6. Write tenths and hundredths in decimal and fraction notations. Use words, models, standard form and expanded form to represent decimal numbers to hundredths. Know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Ordering Decimals
Vocabulary Terms Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

4.NS.7. Compare two decimals to hundredths by reasoning about their size based on the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions (e.g., by using a visual model).
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

4.NS.8. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number.
Vocabulary Terms Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

4.NS.9. Use place value understanding to round multi-digit whole numbers to any given place value.
Vocabulary Terms Estimation
Vocabulary Terms Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10

## IN.K.PS.PROCESS STANDARDS FOR MATHEMATICS

PROCESS STANDARDS FOR MATHEMATICS
PS.1. Make sense of problems and persevere in solving them.