# Westside Elementary School 4th Grade Math Curriculum Map Revised 2018

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1 Westside Elementary School 4th Grade Math Curriculum Map

2 WESTSIDE ELEMENTARY SCHOOL 4TH GRADE Math CURRICULUM MAP Teacher: Price/Skelton Quarter 1 : Power Standards Envision Topics Topic 1- Multiplication & Divisions (Lessons 1-1, 1-2, 1-3, 1-4, 1-6, 1-7, 1-9) Topic 3- Place Value Topic 4- Addition and Subtraction of Whole Numbers Topic 14- Measurement: Units and Conversions (Lessons 14-6 through 14-9) Eureka Modules Envision Topic 1 ((Lessons 1-1, 1-2, 1-3, 1-4, 1-6, 1-7, 1-9) Module 1- PLACE VALUE, ROUNDING, AND ALGORITHMS FOR ADDITION AND SUBTRACTION Module 2- Unit Conversions AR STANDARDS COMMON ASSESSMENT Q1 Quarter 1 Spiral Review Skills Multiply and divide by 10 Skip counting Place Value Base 10 units Basic multiplication facts Compare numbers Number patterns Find the midpoint Rename units Round to different place values Addition

4 g; lb, oz; L, ml; hrs, min, sec). I can compare the different units within the same system of measurement (e.g. 1 ft = 12 in; 1 lb = 16 oz). I can convert larger units of measurement within the same system to smaller units and record conversions in a 2-column table. 4.MD.A.2 I can explain measurements given in a larger unit in terms of a smaller unit. I can solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money. I can solve word problems that require expressing measurements given in a larger unit in terms of a smaller unit. I can represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. regrouping, trading Word form Convert Mass Capacity equivalent Algorithm Distance Kilogram (kg), gram (g) ( Length Liter (L) Measurement Meter (m), centimeter (cm) Mixed units (e.g., 2 tens 4 ones, 2 kilometers 34 meters) Weight Compare Quarter 2 : Power Standards Envision Topics Topic 2- Generate and Analyze Patterns Topic 5- Number Sense- Multiplying by 1 Digit Numbers Topic 6- Developing Fluency- Multiplying by 1 Digit Numbers Topic 7- Number Sense- Multiplying by 2 Digit Numbers Topic 8- Developing Fluency- Multiplying by 2 Digit Numbers Topic 9- Number Sense: Dividing by 1 Digit Numbers Topic 10- Developing Fluency: Dividing by 1 Digit Numbers Eureka Modules Module 3- Multi-Digit Multiplication and Division

5 AR STANDARDS COMMON ASSESSMENT FOR QUARTER 2 Perimeter and area Multiply a number by itself Group counting (3s to 24, 4s to 24, 6s to 24) Find the unknown factor Rename the unit Squares and unknown factors Multiply units Multiply multiples of 10, 100, and 1000 Multiply mentally Expanded form Multiply using partial products Multiply using algorithm Place value Divide with remainders Number sentences in an array Divide mentally Divide using the standard algorithm Divide using the area model Use arrays to find factors Prime and composite Test for factors Multiples Divide 3 digit numbers by 2 Quadrilaterals Unit fractions Decompose 90 and 180 Quarter 2 Spiral Review Skills Student I can Statements Activities/Skills Resources/Materials Vocabulary 4.OA.A.1 I can use multiplication strategies. I can write a multiplication equation based on given data. Grid paper Square inch tiles Personal whiteboards Area Area model Distribute

6 4.OA.A.2 I can model a multiplication problem as repeated addition. 4.OA.A.3 I can use mental math and estimation to determine whether my answer is reasonable. 4.OA.B.4 I can write the factors of each number up to 100. I can recognize prime and composite numbers up to 100. I can recognize prime and composite numbers up to 100. Markers Whiteboard erasers Pattern blocks Two color counters Cubes Place value blocks Divide, division (e.g., 15 5 = 3) Mixed units Multiple Perimeter Quotient Rectangular array Rows, columns Partial product Compensation 4.NBT.B.5 I can multiply 4 digit by one digit numbers without a calculator. I can multiply 2 digit by 2 digit numbers without a calculator. I can use 2 or more different strategies to multiply numbers. I can use words, drawings, and equations to explain multiplication with arrays. I can use words, drawing, and equations to explain multiplication with area models. 4.NBT.B.6 I can divide a 4 digit number by a one digit number. I can show the relationship between multiplication and division. I can use an array to show a multiplication problem. I can use an array to explain a division problem. I can find the area of a space using multiplication. 4.MD.A.3 I can identify that the formula for the perimeter of a rectangle is 2L + 2W or L + L + W + W or 2(L+W). I can identify that the formula for the area of a rectangle is L x W. I can apply the formula for perimeter of a rectangle to solve real world and mathematical problems. I can apply the formula for area of a rectangle to solve real world and mathematical problems. I can solve area and perimeter problems in which there is an unknown factor (n).

7 Quarter 3 : Power Standards Envision Topics Topic 11- Fraction Equivalence and Ordering Topic 12- Adding and Subtracting Fractions and Mixed Numbers with Like Denominators Eureka Modules Module 5- Fractions as Numbers on a Number Line AR STANDARDS COMMON ASSESSMENT Q3 Quarter 3 Spiral Review Skills Read tape diagrams Add fractions Break apart fractions Multiply mentally Repeated addition as multiplication Count by equivalent fractions Multiply fractions by whole numbers Find equivalent fractions Add and subtract Dvision Fractions on a number line Compare fractions Subtract fractions Add to and subtract from ones How many ones Changing to and from Mixed numbers Add and subtract mixed numbers Multiply fractions Multiply mixed numbers Student I can statements Activities/Skills Resources/Materials Vocabulary

8 4.NF.A.1 I can recognize and identify equivalent fractions with unlike denominators. I can explain equivalent fractions such as ½ = 2/4 and 3/6 = 4/8. I can use visual fraction models to show why fractions are equivalent (ex. ¾ = 6/8) I can determine equivalent fractions using fraction models and explain why they can be called equivalent. 4.NF.A.2 I can recognize fractions as being greater than, less than, or equal to other fractions. I can record comparison results with symbols: <, >, = I can use benchmark fractions such as ½ for comparison purposes. I can make comparisons based on parts of the same whole. I can compare two fractions with different numerators. I can compare two fractions with different denominators. I can prove the results of a comparison of two fractions 4.NF.B.3 I can add unit fractions (1/b) to get a fraction greater than one. I can use fraction models to add fractions to make a whole. I can use fraction models to subtract fractions away from the whole. I can add and subtract fractions with like denominators. I can recognize different ways to represent one whole using fractions with the same denominator. I can use fraction models to take apart a fraction. I can add fractions with same denominators in more than one way. I can record decompositions of fractions as an equation and explain the equation using fraction models. I can write an equation that shows how to add fraction (with like denominators) in more than one way using a fraction model. I can add and subtract mixed numbers with like denominators. I can replace mixed numbers with equivalent fractions, using fraction models. I can replace improper fractions with a mixed number, using fraction models. I can add and subtract mixed numbers by replacing each mixed number with an equivalent fraction I can add and subtract fractions with like denominators. I can solve word problems involving addition of fractions referring to the same whole and having like denominators, by using fraction models and equations to represent the problems. I can solve word problems involving subtraction of fractions referring to the same whole and having like denominators, by using fraction models and equations to represent the problems. Grid paper Color tiles Fraction tiles Strips paper Number lines Colored pencils Scissors circles Rulers Number line Blank number lines 4 inch piece of string Prime number Composite number Fraction Equivalent fractions Numerator Denominator Benchmark Fractions Mixed number Improper fraction Compose Decompose Fractional unit Multiple Non-unit fraction Unit fraction Unit interval Whole

9 4.NF.B.4 I can use fraction models to show multiplication of fraction is repeated addition. ¼ + ¼ + ¼ + ¼ + ¼ = 5/4 I can multiply fractions by a whole number using models. I can name multiples of a fraction with a model. I can multiply a fraction by a whole number. I can multiply a fraction by a whole number. I can use fraction models and equations to represent a problem. I can solve word problems involving multiplication of a fraction by a whole number. 4.0A.C.5 I can continue a given number or shape pattern. I can make a number or shape pattern that follows a given rule. I can explain how different patterns are built. I can analyze a pattern to determine parts not stated in the rule. 4.MD.B.4 I can add and subtract fractions. I can analyze and interpret a line plot to solve problems involving addition and subtraction of fractions. I can create a line plot to display a data set of measurements given in fractions of a unit. Quarter 4 : Power Standards Envision Topics Eureka Modules

10 Topic 13 Topic 15 Topic 16 Module 6- Decimal Fractions Module 4- Angle Measure and Plane Figure Module 7- Exploring Multiplication AR STANDARDS Quarter 4 Spiral Review Skills Division Fractions and decimals Count by tenths and hundredths Break apart hundredths Mixed numbers Expanded form Decimal Fraction equivalence Add and subtract Compare and order decimals Coin values Add decimals Multiplication 2D figures Division Break apart 90, 180, 360 Unknown angle Student I can Statements Activities/Skills Resources/Materials Vocabulary 4.NF.C.5 I can rename and recognize a fraction with a denominator of 10 as a fraction with a denominator of 100. I can recognize that two fractions with unlike denominators can be Paper strips Scissors Fraction tiles Unit fractions Tenth Hundredth Decimal point

11 equivalent. I can add two fractions with denominators 10 and 100 by renaming tenths to one hundredths. 4.NF.C.6 I can name the values of digits in the decimal places to the hundredths. I can read and write decimals through the hundredths. I can rename fractions with 10 and 100 in the denominator as decimals. I can recognize multiples of fractions with denominators of 10 or 100. I can represent fractions with denominators 10 or 100. I can represent fractions as decimals to the hundredths place. I can explain how decimals and fractions relate. 4.NF.C.7 I can compare two decimals to the same whole. I can record the results of comparisons with the symbols >, =, <. I can compare two decimals to hundredths by looking at their size. I can prove my conclusions with models. 4.MD.A.2 I can add, subtract, multiply, and divide fractions and decimals. I can explain measurements given in a larger unit in terms of a smaller unit. I can solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money. I can solve word problems involving measurement that include simple fractions or decimals. I can solve word problems that require expressing measurements given in a larger unit in terms of a smaller unit. I can represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale Decimal models Number lines Recording Sheet: Decimal Place-Value Recording Sheet: Decimal Place-Value Table Bills Coins Place-value charts Rulers Recording Sheet: Line Plot Data Centimeter grid paper Dot paper Clock face Pattern blocks Recording Sheet: Blank Protractors Protractors Polygons Paper Rice Bags Digital scale Meter paper strips Meter stick Ruler Place value disks Decimal place value disks Graduated cylinders Metric scale Line plot Point Line Plane Parallel lines Intersecting lines Perpendicular lines Line segment Ray Angle Right angle Acute angle Obtuse angle Straight angle Degree Unit angle Angle measure Protractor Polygon Side Vertex Triangle Quadrilateral Pentagon Hexagon Octagon Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle Rhombus Trapezoid Parallelogram Rectangle Square Symmetric Line of symmetry Adjacent angle Arc Complementary angle

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