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## RI.M:CCR:5.NECAP - Grade Level Expectation: Communication, Connections, and Representations.

NECAP - Grade Level Expectation: Communication, Connections, and Representations.
M:CCR:5:1. Students will communicate their understanding of mathematics and be able to:
M:CCR:5:1.4. Understand and appreciate the economy and power of mathematical symbolism and its role in the development of mathematics.
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

M:CCR:5:2. Students will create and use representations to communicate mathematical ideas and to solve problems and be able to:
M:CCR:5:2.3. Recognize equivalent representations of concepts and procedures and translate among them as appropriate (for example, understand how the addition of whole numbers, fractions, and decimals are related).

M:CCR:5:3. Students will recognize, explore, and develop mathematical connections and be able to:

## RI.M:DSP:4.NECAP - Grade Level Expectation: Data, Statistics, and Probability.

NECAP - Grade Level Expectation: Data, Statistics, and Probability.
M:DSP:4:1. Interprets a given representation (line plots, tables, bar graphs, pictographs, or circle graphs) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems. (State)
Vocabulary Terms Data Analysis
Vocabulary Terms Tables and Graphs
Vocabulary Terms Graphs and Charts
Vocabulary Terms Represent Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts
Quiz, Flash Cards, Worksheet, Game & Study Guide Represent Data

M:DSP:4:2. Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (median or mode), or range. (State)
Vocabulary Terms Data Analysis
Vocabulary Terms Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

M:DSP:4:4. Uses counting techniques to solve problems in context involving combinations or simple permutations (e.g., Given a map - Determine the number of paths from point A to point B.) using a variety of strategies (e.g., organized lists, tables, tree diagrams, or others). (State)
Vocabulary Terms Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

M:DSP:4:6. In response to a teacher or student generated question or hypothesis, groups decide the most effective method (e.g., survey, observation, experimentation) to collect the data (numerical or categorical) necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the question or hypothesis being tested, and when appropriate makes predictions; and asks new questions and makes connections to real world situations.

## RI.M:F&A:4.NECAP - Grade Level Expectation: Functions and Algebra.

NECAP - Grade Level Expectation: Functions and Algebra.
M:F&A:4:1. Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables or sequences; and writes a rule in words or symbols to find the next case. (State)
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

M:F&A:4:3. Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities to write simple linear algebraic expressions involving any one of the four operations; or by evaluating simple linear algebraic expressions using whole numbers. (State)
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 Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M:F&A:4:4. Demonstrates conceptual understanding of equality by showing equivalence between two expressions using models or different representations of the expressions, by simplifying numerical expressions where left to right computations may be modified only by the use of parentheses [e.g., 14 - (2 x 5)] (expressions consistent with the parameters of M(F&A)-4-3), and by solving one-step linear equations of the form ax = c, x +/- b = c, where a, b, and c are whole numbers with a not equal to 0. (State)
Vocabulary Terms Algebra
Vocabulary Terms Evaluate Open Sentences
Vocabulary Terms Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
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 Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

## RI.M:G&M:4.NECAP - Grade Level Expectation: Geometry and Measurement.

NECAP - Grade Level Expectation: Geometry and Measurement.
M:G&M:4:1. Uses properties or attributes of angles (number of angles) or sides (number of sides, length of sides, parallelism, or perpendicularity) to identify, describe, or distinguish among triangles, squares, rectangles, rhombi, trapezoids, hexagons, or octagons; or classify angles relative to 90 degrees as more than, less than, or equal to. (State)
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes

M:G&M:4:3. Uses properties or attributes (shape of bases or number of lateral faces) to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, or spheres). (State)
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M:G&M:4:4. Demonstrates conceptual understanding of congruency by matching congruent figures using reflections, translations, or rotations (flips, slides, or turns), or as the result of composing or decomposing shapes using models or explanations. (State)

M:G&M:4:5. Demonstrates conceptual understanding of similarity by applying scales on maps, or applying characteristics of similar figures (same shape but not necessarily the same size) to identify similar figures, or to solve problems involving similar figures. Describes relationships using models or explanations. (State)

M:G&M:4:6. Demonstrates conceptual understanding of perimeter of polygons, and the area of rectangles, polygons or irregular shapes on grids using a variety of models, manipulatives, or formulas. Expresses all measures using appropriate units. (State)
Flip Charts Dot to Dot
Flip Charts Shape Up
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

M:G&M:4:7. Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands. (State)
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
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
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

## RI.M:N&O:4.NECAP - Grade Level Expectation: Number and Operation.

NECAP - Grade Level Expectation: Number and Operation.
M:N&O:4:1. Demonstrates conceptual understanding of rational numbers with respect to whole numbers from 0 to 999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and positive fractional numbers (benchmark fractions: a/2, a/3, a/4, a/5, a/6, a/8, or a/10, where a is a whole number greater than 0 and less than or equal to the denominator) as a part to whole relationship in area, set, or linear models where the number of parts in the whole are equal to, and a multiple or factor of the denominator; and decimals as hundredths within the context of money, or tenths within the context of metric measurements (e.g., 2.3 cm) using models, explanations, or other representations. (State)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Our Atmosphere
Flip Charts Triangle Tricks
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Estimation
Vocabulary Terms Expanding Numbers
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Vocabulary Terms Percents
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Ratio
Vocabulary Terms Simplify Fractions
Vocabulary Terms Whole Numbers to Millions
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 Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
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 Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
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 Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
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 Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

M:N&O:4:2. Demonstrates understanding of the relative magnitude of numbers from 0 to 999,999 by ordering or comparing whole numbers; and ordering, comparing, or identifying equivalent proper positive fractional numbers; or decimals using models, number lines, or explanations. (State)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Comparing Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
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 Comparing 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 Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
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 Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

M:N&O:4:3. Demonstrates conceptual understanding of mathematical operations by describing or illustrating the relationship between repeated subtraction and division (no remainders); the inverse relationship between multiplication and division of whole numbers; or the addition or subtraction of positive fractional numbers with like denominators using models, number lines, or explanations. (State)
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

M:N&O:4:4. Accurately solves problems involving multiple operations on whole numbers or the use of the properties of factors and multiples; and addition or subtraction of decimals and positive proper fractions with like denominators. (Multiplication limited to 2 digits by 2 digits, and division limited to 1-digit divisors.) (State)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Common Factors
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
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/Multiply/Divide Decimals
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 Common Factors
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 Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
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 Division/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 Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M:N&O:4:6. Mentally adds and subtracts whole number facts through 20; multiplies whole number facts to a product of 100, and calculates related division facts; adds two-digit whole numbers, combinations of two-digit and 3-digit whole numbers that are multiples of ten, and 4-digit whole numbers that are multiples of 100 (limited to two addends) (e.g., 67 + 24; 320 + 430; 320 + 90; 1,300 + 1,400); and subtracts a one-digit whole number from a two-digit whole number (e.g., 67 - 9); and subtracts combinations of two-digit and three-digit whole numbers that are multiples of ten (e.g., 50 - 20, 230 - 80, 520 - 200).
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Multiplication
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
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 Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M:N&O:4:7. Makes estimates in a given situation by identifying when estimation is appropriate, selecting the appropriate method of estimation, and evaluating the reasonableness of solutions appropriate to grade level GLEs across content strands.
Vocabulary Terms Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

M:N&O:4:8. Applies properties of numbers (odd, even, multiplicative property of zero, and remainders) and field properties (commutative, associative, and identity) to solve problems and to simplify computations.
Vocabulary Terms Odd/Even Numbers
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 Odd/Even Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

## RI.M:PRP:5.NECAP - Grade Level Expectation: Problem Solving, Reasoning, and Proof

NECAP - Grade Level Expectation: Problem Solving, Reasoning, and Proof
M:PRP:5:1. Students will use problem-solving strategies to investigate and understand increasingly complex mathematical content and be able to:
M:PRP:5:1.1. Determine the reasonableness of solutions to real-world problems.

M:PRP:5:1.2. Generalize solutions and apply strategies to new problem situations.

M:PRP:5:1.3. Add to the repertoire of problem-solving strategies (e.g., looking for similar problems) and use those strategies in more sophisticated ways.

M:PRP:5:1.5. Translate results of a computation into solutions that fit the real-world problem (e.g., when a computation shows that one needs 3.2 gallons of paint to paint a room, how much paint do you buy?).

M:PRP:5:2. Students will use mathematical reasoning and proof and be able to:
M:PRP:5:2.3. Use models, known facts, properties, and relationships to explain thinking and to justify answers and solution processes.