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Pacing Guide

Elementary School

2019-2020

4th Grade MATH STANDARDS  / PACING GUIDE

Teacher’s Name(s):

Lisa Newell-Hare

Kristy Bright

Tammy Shelton

Clusters:

Number and Operations in Base Ten

Cluster:  Generalize place value understanding for multi-digit whole numbers

Numbers and Operations in Base Ten

Note: grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000

Operations and Algebraic Thinking

Cluster:  Use the four operations with whole numbers to solve problems

Operations and Algebraic Thinking

Cluster: Gain familiarity with factors and multiples

Numbers and Operations - Fractions

Cluster:  Extend understanding of fraction equivalence and ordering

Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100

Number and Operations Fractions

Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100.

Number and Operations Fractions

Cluster:  Understand decimal notation for fractions and compare decimal fractions.

Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100

Operations and Algebraic Thinking

Cluster: Generate and analyze patterns

Measurement and Data

Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

Measurement and data

Cluster:  Understand and apply the statistics process

Measurement and Data

Cluster:  Geometric measurement: understand concepts of angle and measure angles.

Geometry

Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles

1st Nine Weeks Projected Pacing

Module 1: Topic A, B, C

 Day of Instruction (Includes Summative Assessment, Technology Day, Review Day): Week 2-3-- Grade Card/Progress Performance  Assessments: Misc.: 10 Days Lesson 1, 2, 3, 4, 5, 6 Vocabulary Quiz Multiplication Quiz 0, 1, 2’s Multiplication Quiz 3’s Summative Assessment # 1 Module 1-Topic A, B, C MAP Testing (2 possible days) Technology/ Catch Up day/Review Decompose Post Summative Assessment

Module 1: Topic D, E,F

 Day of Instruction (Includes Summative Assessment, Technology Day, Review Day): Week 4-5-- Grade Card/Progress Performance  Assessments: Misc.: Days 6 Lesson 7, 8, 9, 10 Vocabulary Quiz Multiplication Quiz 4’s Summative Assessment # 2 Module 1-Topic D, E, F Decompose Post Summative Assessment

Module 3: Topic A, B, C, D, F, H

 Day of Instruction (Includes Summative Assessment, Technology Day, Review Day): Week 5-8 -- Grade Card/Progress Performance  Assessments: Misc.: 16 Days Lessons  11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 Vocabulary Quiz Multiplication Quiz 5’s Multiplication Quiz 6’s Multiplication Quiz 7’s Multiplication Quiz 8’s Summative Assessment # 3 Module 3-Topic A, B, C, D, F, H Technology/ Catch Up day Summative Assessment Day Decompose Post Summative Assessment 4th Grade Musical

Module 1 Topic D-F & Module 3 Topic A-D

 Day of Instruction (Includes Summative Assessment, Technology Day, Review Day): Week 8-9 -- Grade Card/Progress Performance  Assessments: Misc.: 7 Days Lesson 23 Vocabulary Quiz Multiplication Quiz 8’s Multiplication Quiz 9’s Summative Assessment # 4 Module 1 Topic D-F & Module 3 Topic A-D Technology x 2/ Catch Up day/Review Summative Assessment Day Decompose Post Summative Assessment Leadership Day

1st Nine Weeks Projected Pacing

 Standard Learning Target We are learning to…... Window of Instruction (weeks) Essential Vocabulary Resources Assessments Link KY.4.OA.3 Solve multistep problems (MP.1, MP.4)   b. Solve multistep word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted.  Represent these problems using equations with a letter standing for the unknown quantity.  Assess the reasonableness of answers using mental computations and estimation strategies including rounding.   Operations and Algebraic Thinking Cluster:  Use the four operations with whole numbers to solve problems Solve multistep word problems using the four operations. Week 9-12 Place value chart   Standard division   Tape diagram   Number bond   Area model   Decompose KY.4.OA.2 (MP.1, MP.2, MP.3) Multiply or divide to solve word problems involving multiplicative comparisons by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. Operations and Algebraic Thinking Cluster:  Use the four operations with whole numbers to solve problems Solve multiplicative comparison problems using drawings and equations to determine situations. Week 9-12 Multiply   Divide   Multiplicative comparisons KY.4.OA.3 Solve multistep problems (MP.1, MP.4)   a. Perform operations in the conventional order when there are no parentheses to specify a particular order.   Operations and Algebraic Thinking Cluster:  Use the four operations with whole numbers to solve problems Perform operations in the conventional order when there are no parentheses to specify a particular order. Week 9-12 Place value chart   Standard division   Tape diagram   Number bond   Area model   Decompose KY.4.OA.4 Find factors and multiples of numbers in the range 1-100  (MP.5, MP.7)   c. Determine whether a given whole number is a multiple of a given one-digit number.     Operations and Algebraic Thinking Cluster: Gain familiarity with factors and multiples Determine whether a whole number is a multiple of a one-digit number. Week 9-12 Factor   Product   Multiple   Composite Number   Prime Number   Associative Property KY.4.OA.4 Find factors and multiples of numbers in the range 1-100  (MP.5, MP.7)   d. Determine whether a given whole number is prime or composite.     Operations and Algebraic Thinking Cluster: Gain familiarity with factors and multiples Determine whether a whole number is prime or composite. Week 9-12 Factor   Product   Multiple   Composite Number   Prime Number   Associative Property

 Standard Learning Target We are learning to……. Window of Instruction (weeks) Essential Vocabulary Resources Assessments Link

 Standard Learning Target We are learning to……. Window of Instruction (weeks) Essential Vocabulary Resources Assessments Link KY.4.G.1 (MP.5, MP.6) Draw points, lines, line segments, rays, angles (right, acute, obtuse) and perpendicular and parallel lines.  Identify these in two-dimensional figures.   Geometry Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles Draw points, lines, line segments, rays, angles and perpendicular and parallel lines. Week 13 And ongoing on ERF in November & December Point   Line   Line segment   Ray   Arc   Angle   Vertex   Obtuse angle   Acute Angle   Parallel   Perpendicular   Line of Symmetry   Triangle   Obtuse Triangle   Right triangle   Scalene triangle   Isosceles triangle   Attribute   Polygon   Quadrilateral   Rectangle   Square   Rhombus   Parallelogram   Trapezoid KY.4.G.2 (MP.7) Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence of absence of angles of a specified size.  Recognize right triangles as a category and identify right triangles.   Geometry Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles Classify two-dimensional figures based on parallel or perpendicular lines, or angles of a specified size.   Recognize right triangles as a category and identify right triangles. Week 13 And ongoing on ERF in November & December Line of Symmetry   Triangle   Obtuse Triangle   Right triangle   Scalene triangle   Isosceles triangle   Attribute   Polygon   Quadrilateral   Rectangle   Square   Rhombus   Parallelogram   Trapezoid KY.4.G.3 Identify lines of symmetry. (MP.5, MP.7)   a. Recognize a line of symmetry for a two-dimensional figure.   Geometry Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles Recognize, identify, and draw  a line of symmetry for a two-dimensional figure Week 12 And ongoing on ERF in November & December Line of Symmetry   Triangle   Obtuse Triangle   Right triangle   Scalene triangle   Isosceles triangle   Attribute   Polygon   Quadrilateral   Rectangle   Square   Rhombus   Parallelogram   Trapezoid KY.4.G.3 Identify lines of symmetry. (MP.5, MP.7)   b. Identify line-symmetric figures and draw lines of symmetry.   Geometry Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles Recognize, identify, and draw  a line of symmetry for a two-dimensional figure Week 13 And ongoing on ERF in November & December Line of Symmetry   Triangle   Obtuse Triangle   Right triangle   Scalene triangle   Isosceles triangle   Attribute   Polygon   Quadrilateral   Rectangle   Square   Rhombus   Parallelogram   Trapezoid

 Standard Learning Target We are learning to…... Windows of instruction (weeks) Essential Vocabulary Resources Assessment Link KY.4.NF.1 Understand and generate equivalent fractions (MP.4, MP.7, MP.8)   a. Use visual fraction models to recognize and generate equivalent fractions that have different numerators/denominators even though they are the same size.   Numbers and Operations - Fractions Cluster:  Extend understanding of fraction equivalence and ordering Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100 Use models to recognize and generate equivalent fractions Week 14-16 Whole fraction   Non-unit fraction   Equivalent fractions   Compose   Decompose KY.4.NF.1 Understand and generate equivalent fractions (MP.4, MP.7, MP.8)   b. Explain why a fraction is equivalent to a fraction Numbers and Operations - Fractions Cluster:  Extend understanding of fraction equivalence and ordering Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100 Explain why a fraction is equivalent when multiplied by one whole in fraction form. Week 14-16 Whole fraction   Non-unit fraction   Equivalent fractions   Compose   Decompose KY.4.NF.2 (MP.2, MP.3) Compare two fractions with different numerators and different denominators using the symbols <, =, or >.  Recognize comparisons are valid only when the two fractions refer to the same whole.  Justify the conclusions.   Numbers and Operations - Fractions Cluster:  Extend understanding of fraction equivalence and ordering Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100 Compare two fractions with different numerators and different denominators using the symbols <, =, or >. Week 14-16 Common Denominator   Comparing fractions   Benchmark   Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions

 Standard Learning Target We are learning to……. Windows of Instruction (weeks) Essential Vocabulary Resources Assessment Link KY.4.NF.3 Understand a fraction with a >1 as a sum of fractions . (MP.1, MP.5, MP.7)   a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Understand addition and subtraction of fractions as referring to the same whole. Week 17-19 Mixed number   Unit fraction   Non-unit fraction   Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.NF.3 Understand a fraction with a >1 as a sum of fractions . (MP.1, MP.5, MP.7)   b. Decomposing a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.   Justify decompositions.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Decomposing a fraction into a sum of fractions more than one way Week 17-19 Numerator   Denominator   Mixed number   Unit fraction   Equivalent fraction   Fraction greater than 1   Compose   Decompose   Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.NF.3 Understand a fraction with a >1 as a sum of fractions . (MP.1, MP.5, MP.7)   c. Add and subtract mixed numbers with the like denominators.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Add and subtract mixed numbers with the like denominators. Week 20-21 Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.NF.3 Understand a fraction with a >1 as a sum of fractions . (MP.1, MP.5, MP.7)   d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Solve word problems involving addition and subtraction of fractions Week 20-21 Mixed number   Unit fraction   Non-unit fraction   Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (MP.5, MP.8)   a. Understand a fraction as a multiple of .   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Multiply a fraction by a whole number. Week 22 Numerator   Denominator   Mixed number   Unit fraction   Equivalent fraction   Fraction greater than 1   Compose   Decompose KY.4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (MP.5, MP.8)   b. Understand a multiple of as a multiple of and use this understanding to multiply a fraction by a whole number.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Multiply a fraction by a whole number. Week 22 Numerator   Denominator   Mixed number   Unit fraction   Equivalent fraction   Fraction greater than 1   Compose   Decompose KY.4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (MP.5, MP.8)   c. Solve word problems involving multiplication of a fraction by a whole number.   Number and Operations Fractions                                    Cluster:  Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers Note:  grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Solve word problems involving multiplication of a fraction by a whole number. Week 22 Compose   Decompose   Mixed number   Dot plot

 Standard Learning Target We are learning to….. Window of Instruction (weeks) Essential Vocabulary Resources Assessment Link KY.4.MD.1 Know relative size of measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time) (MP.5, MP.6)   a. Understand the relationship of measurement units within any given measurement system.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Understand the relationship of measurement units within any given measurement system. Week 26-28 Measurement   Convert   Distance   Mixed Unit   Capacity   Weight/Mass   Length KY.4.MD.1 Know relative size of measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time) (MP.5, MP.6)   b. Within any given measurement system, express measurements in a larger unit in terms of a smaller unit.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Understand the relationship of measurement units within any given measurement system. Week 26-28 Measurement   Convert   Distance   Mixed Unit   Capacity   Weight/Mass   Length KY.4.MD.1 Know relative size of measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time) (MP.5, MP.6)   c. Record measurement equivalents in a two-column table.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Record measurement equivalents in a two-column table. Week 26-28 Measurement   Convert   Distance   Mixed Unit KY.4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money. (MP.1, MP.4)   a. Solve measurement problems involving whole number, simple fractions or decimals.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Solve measurement problems involving whole number, simple fractions or decimals. Week 26-28 Decimal fraction   Tenth   Hundredth   Measurement   Convert   Distance   Mixed Unit KY.4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money. (MP.1, MP.4)   b. Solve problems that require converting a given measurement from a larger unit to a smaller unit with a common measurement system, such as 2 km=2,000m.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Record measurement equivalents in a two-column table. Week 26-28 Measurement   Convert   Distance   Mixed Unit   Capacity   Weight/Mass   Length KY.4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money. (MP.1, MP.4)   c. Visually display measurement quantities using representations such as number lines that feature a measurement scale.   Measurement and Data Cluster:  Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit Draw and use a number line that features a measurement scale. Week 26-28 Measurement   Convert   Distance   Mixed Unit   Weight/Mass   Length

 Standard Learning Target We are learning to….. Window of Instruction (weeks) Essential Vocabulary Resources Assessment Link KY.4.MD.4 Use dot plots to analyze data to a statistical question (MP.1, MP.6)   a. Identify a statistical question focused on numerical data.     Measurement and data Cluster:  Understand and apply the statistics process Make and use dot plots to analyze data to a statistical question Week 29 Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.MD.4 Use dot plots to analyze data to a statistical question (MP.1, MP.6)   b. Make a dot plot to display a data set of measurements in fractions of a unit ( , , ).     Measurement and data Cluster:  Understand and apply the statistics process Make and use dot plots to analyze data to a statistical question Week 29 Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions KY.4.MD.4 Use dot plots to analyze data to a statistical question (MP.1, MP.6)   c. Solve problems involving addition and subtraction of fractions by using information presented in dot plots.     Measurement and data Cluster:  Understand and apply the statistics process Make and use dot plots to analyze data to a statistical question Week 29 Dot Plot   Fractions greater than 1   Mixed number   Unit fraction   Non-unit fraction   Equivalent fractions

 Standard Learning Target We are learning to….. Window of Instruction (weeks) Essential Vocabulary Resources Assessment Link KY.MD.5 (MP.7) Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint and understand concepts of angle measurement.   Measurement and Data Cluster:  Geometric measurement: understand concepts of angle and measure angles. Recognize angles as geometric shapes that are formed by two rays. Week 30-32 Point   Line   Line segment   Ray   Arc   Angle   Vertex   Obtuse angle Acute Angle   Parallel   Perpendicular KY.4.MD.6 (MP.5, MP.6) Measure angles in whole-number degrees using a protractor.  Sketch angles of specified measure.   Measurement and Data Cluster:  Geometric measurement: understand concepts of angle and measure angles. Measure angles in degrees using a protractor. Week 30-32 Point Line Line segment   Ray   Arc   Angle   Vertex   Obtuse angle   Acute Angle   Parallel   Perpendicular KY.4.MD.7 (MP.1, MP.4) Recognize angle measure as additive.  When an angle is into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts.  Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.   Measurement and Data Cluster:  Geometric measurement: understand concepts of angle and measure angles. Solve addition and subtraction problems to find unknown angles Week 30-32 Degree   Adjacent Angle   Complementary angles

Geometry

Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles

 Standard Learning Target We are learning to….. Window of Instruction (weeks) Essential Vocabulary Resources Assessment Link KY.4.G.3 Identify lines of symmetry. (MP.5, MP.7)   b. Identify line-symmetric figures and draw lines of symmetry.   Geometry Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles Identify  line-symmetric figures and draw lines of symmetry. Week 30-32 Line of Symmetry   Triangle   Obtuse Triangle   Right triangle   Scalene triangle   Isosceles triangle   Attribute   Polygon   Quadrilateral   Rectangle   Square   Rhombus   Parallelogram   Trapezoid