1 st Trimester Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) OA.1.1 OA.1.2 NBT.1.1 Write and interpret numerical expressions. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. Understand the place value system. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use wholenumber exponents to denote powers of 10. Perform operations with multi-digit whole numbers and with decimals to hundredths. NBT.1.2 NBT.2.5 Fluently multiply multi-digit whole numbers using the standard algorithm. 1: Whole Number Multiplication and Expressions 13 days: August 20 September 8 *Strikethrough within a standard denotes that the content is addressed in a different unit. understand the 10 to 1 relationship among placevalue positions. write and evaluate powers of 10 in exponent form. multiply by powers of 10 and explain patterns in the number of zeros. multiply by 1-digit numbers. explain the multiplication process using strategies based on place value. multiply by 2-digit numbers. use the order of operations to evaluate expressions with grouping symbols. use grouping symbols in expressions and explain their effect. write numerical expressions to represent word phrases. describe the relationship between expressions without evaluating them. Place Value of Whole Numbers Powers of Ten and Exponents Multiplication Patterns with Zeros Multiply by 1-Digit Numbers Multiplication Strategies Based on Place Value Multiply by 2-Digit Numbers Evaluate Numerical Expressions with Grouping Symbols Use Grouping Symbols in Expressions Write Numerical Expressions Interpret Numerical Expressions area model base digit expanded form exponent factor multiply pattern period place value power (partial) product standard form word form evaluate grouping symbols numerical expression order of operations parentheses (also braces and brackets)
1 st Trimester Number and Operations in Base Ten (NBT) NBT.1.1 Understand the place value system. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1 of what it represents in the 10 place to its left. Perform operations with multi-digit numbers and with decimals to hundredths. NBT.2.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 2: Whole Number Division 14 days: September 9 September 30 understand that 1 of a number is 10 the same as dividing the number by 10. use multiplication to solve division problems. use the Distributive Property to solve division problems. use place value and estimation to divide by 1-digit divisors. model division with 2-digit divisors using area models. quotients using compatible numbers. use partial quotients to divide by 2-digit divisors. divide by 2-digit divisors using models and strategies. interpret remainders to solve division problems. solve word problems involving equal groups. Place Value and Patterns Relate Multiplication to Division Use the Distributive Property Divide by 1-Digit Divisors Model Division with 2-Digit Divisors Estimate with 2-Digit Divisors Partial Quotients Divide by 2-Digit Divisors Connect Division Models and Strategies Based on Place Value Interpret the Remainder Multiplication and Division Word Problems area model compatible numbers digit Distributive Property (for and ) 1 10 divide dividend divisor inverse operations of (one-tenth) partial quotients pattern place value quotient regroup remainder
1 st Trimester Number and Operations in Base Ten (NBT) NBT.1.1 NBT.1.3 NBT.1.3a NBT.1.3b NBT.1.4 Understand the place value system. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Use place value understanding to round decimals to any place. Perform operations with multi-digit whole numbers and with decimals to hundredths. NBT.2.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 3: Decimal Addition and Subtraction 14 days: October 1 October 20 understand the 10 to 1 relationship among decimals to thousandths. read and write decimals to thousandths using numbers, words, and expanded form. rename decimals using different place values. compare decimals to thousandths using place value. round decimals to any place. model decimal addition using base-ten blocks. model decimal subtraction using base-ten blocks. make reasonable s of decimal sums and differences. add and subtract decimals using place value. solve addition and subtraction word problems involving decimal amounts. Decimals to Thousandths Place Value of Decimals Rename Decimals Compare Decimals Round Decimals Decimal Addition Decimal Subtraction Estimate Decimal Sums and Differences Add and Subtract Decimals Decimal Addition and Subtraction Word Problems benchmark compare decimal decimal point digit expanded form hundredth place value regroup round standard form tenth thousandth whole number word form
1 st Trimester Number and Operations in Base Ten (NBT) NBT.1.2 Understand the place value system. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Perform operations with multi-digit whole numbers and with decimals to hundredths. NBT.2.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 4: Decimal Multiplication 10 days: October 21 November 4 find patterns in products when multiplying by powers of 10. model multiplication of whole numbers and decimals. multiply a decimal and a whole number using drawings and place value. use expanded form and place value to multiply a decimal and a whole number. solve word problems involving equal amounts of money. model multiplication of two decimals. place the decimal point in decimal multiplication. multiply decimals with zeros in the product. Multiplication Patterns with Decimals Multiply Decimals and Whole Numbers Multiplication with Decimals and Whole Numbers Multiply Using Expanded Form Multiplying Money Word Problems Decimal Multiplication Multiply Decimals Zeros in the Product area model decimal decimal point digit expanded form exponent factors hundredths multiplication ones patterns place value power of ten product tenths thousandths whole number
1 st /2 nd Trimester Number and Operations in Base Ten (NBT) NBT.1.2 Understand the place value system. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Perform operations with multi-digit whole numbers and with decimals to hundredths. NBT.2.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. 5: Decimal Division 10 days: November 5 November 20 find patterns in quotients when dividing by powers of 10. model division of decimals by whole numbers. decimal quotients. divide decimals by whole numbers. model division by decimals. place the decimal point in decimal division. explain the reasoning used in a division problem. solve multistep decimal problems. Division Patterns with Decimals Divide Decimals by Whole Numbers Estimate Quotients Division of Decimals by Whole Numbers Decimal Division Divide Decimals Reason about Division Multistep Decimal Problems area model compatible numbers decimal decimal point digit division dividend divisor exponent hundredths patterns power of ten quotient regroup tenths End of Trimester: November 13, 2015 thousandths
2 nd Trimester Number and Operations Fractions (NF) Measurement and Data (MD) Use equivalent s as a strategy to add and subtract s. NF.1.1 NF.1.2 MD.2.2 Add and subtract s with unlike denominators (including mixed numbers) by replacing given s with equivalent s in such a way as to produce an equivalent sum or difference of s with like denominators. Solve word problems involving addition and subtraction of s referring to the same whole, including cases of unlike denominators, Use benchmark s and number sense of s to mentally and assess the reasonableness of answers. Represent and interpret data. Make a line plot to display a data set of measurements in s of a unit (1/2, 1/4, 1/8). Use operations on s for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. 6: Fraction Addition and Subtraction 14 days: November 23 December 15 use models and multiplication to generate equivalent s. use models to add s with unlike denominators. use models to subtract s with unlike denominators. make reasonable s of sums and differences. use equivalent s to add and subtract s. add and subtract mixed numbers with unlike denominators. rename to find the difference of two mixed numbers. add s and mixed numbers with unlike denominators using the properties. use equivalent s to find missing numerators or denominators in equations. solve word problems by using models or equations to represent the problem. solve addition and subtraction problems involving data from line plots. Rename Fractions with Equivalent Fractions Addition with Unlike Denominators Subtraction with Unlike Denominators Estimate Fraction Sums and Differences Add and Subtract Fractions Add and Subtract Mixed Numbers Subtraction with Renaming Use Properties of Addition Missing Numbers in Fraction Equations Fraction Addition and Subtraction Word Problems Line Plots - Addition and Subtraction Problems Associative Property (+) benchmark common denominator Commutative Property (+) data denominator difference equivalent s greater than 1 (improper) graph line plot measurement mixed number multiples numerator regroup/ rename sum whole number
2 nd Trimester Number and Operations Fractions (NF) Apply and extend previous understandings of multiplication and division to s. NF.2.4 NF.2.4a NF.2.4b NF.2.5 NF.2.5a NF.2.5b Apply and extend previous understandings of multiplication to multiply a or whole number by a. Interpret the product (a/b) q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a q b. Find the area of a rectangle with al side lengths by tiling it with unit squares of the appropriate unit side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply al side lengths to find areas of rectangles, and represent products as rectangular areas. Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. Explaining why multiplying a given number by a greater than 1 results in a product greater than the given number; explaining why multiplying a given number by a less than 1 results in a product smaller than the given number; and relating the principle of equivalence a/b = (n a)/(n b) to the effect of multiplying a/b by 1. 7: Fraction Multiplication 14 days: December 16 January 20 model to find the al part of a group. model the product of a and a whole number. multiply s and whole numbers. multiply s using models. relate the size of the product compared to the size of one factor when multiplying s. multiply s. use an area model to multiply two mixed numbers. find the area of a rectangle with al side lengths. relate the size of the product to the factors when multiplying s greater than one. solve real world problems involving mixed number multiplication. Find Part of a Group Multiply Fractions and Whole Numbers Fraction and Whole Number Multiplication Multiply Fractions Compare Fraction Factors and Products Fraction Multiplication Multiply Mixed Numbers Area and Mixed Numbers Compare Mixed Number Factors and Products Multiply Mixed Numbers area area model compare denominator dimension Distributive Property ( ) equal groups equivalent factor greater than 1 (improper) mixed number numerator product scale/resize square unit NF.2.6 Solve real world problems involving multiplication of s and mixed numbers. unit whole number
2 nd Trimester Number and Operations Fractions (NF) Apply and extend previous understandings of multiplication and division to s. NF.2.3 NF.2.7 NF.2.7a NF.2.7b NF.2.7c Interpret a as division of the numerator by the denominator ( aa bb = a b). Solve word problems involving division of whole numbers leading to answers in the form of s or mixed numbers. Apply and extend previous understandings of division to divide unit s by whole numbers and whole numbers by unit s. Interpret division of a unit by a non-zero whole number, and compute such quotients. Interpret division of a whole number by a unit, and compute such quotients. Solve real world problems involving division of unit s by non-zero whole numbers and division of whole numbers by unit s, e.g., by using visual models and equations to represent the problem. 8: Fraction Division 7 days: January 21 February 2 interpret a as division and solve whole-number division problems that result in a or mixed number. divide a unit by a whole number. divide a whole number by a unit. use multiplication to divide whole numbers by s and s by whole numbers. use diagrams and equations to solve real world unit division problems. Connect Fractions to Division Divide Fractions by Whole Numbers Divide Whole Numbers by Fractions Fraction and Whole Number Division Interpret Division with Fractions area model dividend divisor division equal groups equation expression greater than 1 (improper) number line inverse operations mixed numbers multiplication quotient unit whole number
2 nd /3 rd Trimester Operations & Algebraic Thinking (OA) Measurement & Data (MD) Geometry (G) OA.1.1 OA.1.2 OA.2.3 Write and interpret numerical expressions. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. Analyze patterns and relationships. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. Represent and interpret data. Make a line plot to display a data set of measurements in s of a unit (1/2, 1/4, 1/8). Use operations on s for this grade to solve problems involving MD.2.2 information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. Graph points on the coordinate plane to solve real-world and mathematical problems. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. G.1.1 Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate G.1.2 plane, and interpret coordinate values of points in the context of the situation. 9: Patterns and Graphing 11 days: February 3 February 18 write and evaluate expressions with s. solve problems involving data from line plots. graph and name points on a coordinate grid using ordered pairs. graph and interpret data on a coordinate grid. use two rules to generate a numerical pattern and identify the relationship between the corresponding terms in the patterns. graph and analyze the relationship between two numerical patterns on a coordinate grid. graph and analyze the relationship between two numerical 2-step patterns on a coordinate grid. End of Trimester: February 12, 2016 Expressions with Fractions Line Plots Multiplication and Division Problems Ordered Pairs Graph Data Numerical Patterns Graph and Analyze Relationships Graph and Analyze 2-Step Patterns data equally redistribute expression line plot order of operations coordinate grid graph/plot ordered pair origin pattern point relationship rule term x-axis x-coordinate y-axis y-coordinate
3 rd Trimester Measurement and Data (MD) Convert like measurement units within a given measurement system. MD.1.1 Convert among different-sized standard measurement units (i.e., km, m, cm; kg, g; lb., oz.; l, ml; hr., min, sec) within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. 10: Measurement Conversions 11 days: February 18 March 7 compare, contrast, and convert metric units. compare, contrast, and convert customary units of length. compare, contrast, and convert customary units of capacity. compare, contrast, and convert customary units of weight. convert customary measurement units to solve multi-step real world problems. convert metric measurement units to solve multi-step real world problems. solve conversion problems with al parts of a unit. convert units of time to solve problems. Metric Measures Customary Length Customary Capacity Weight Multi-step Customary Measurement Problems Multi-step Metric Measurement Problems Customary and Metric Conversions Time metric gram kilogram mass milligram kilometer liter milliliter centimeter decimeter kilometer meter millimeter conversion unit s decimals customary foot inch length mile yard capacity cup fluid ounce gallon pint quart ounce pound ton weight time
3 rd Trimester Measurement and Data (MD) Geometry (G) Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. MD.3.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. A cube with side length 1 unit, called a unit cube, MD.3.3a is said to have one cubic unit of volume, and can be used to measure volume. A solid figure which can be packed without gaps or MD.3.3b overlaps using n unit cubes is said to have a volume of n cubic units. Measure volumes by counting unit cubes, using MD.3.4 cubic cm, cubic in, cubic ft., and improvised units. Relate volume to the operations of multiplication MD.3.5 and addition and solve real world and mathematical problems involving volume. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as MD.3.5a would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes. Apply the formulas V = l w h and V = B h for rectangular prisms to find volumes of right MD.3.5b rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping MD.3.5c right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. Classify two-dimensional figures into categories based on their properties. Understand that attributes belonging to a category G.2.3 of two-dimensional figures also belong to all subcategories of that category. Classify and organize two-dimensional figures into G.2.4 Venn diagrams based on attributes of the figures. 11: Geometry and Volume 13 days: March 8 April 1 identify and classify polygons. classify and compare triangles using their properties. classify and compare quadrilaterals using their properties. reason about the properties (of sides, angles, and symmetry) of quadrilaterals. understand unit cubes and how they can be used to build a solid figure. count unit cubes that fill a solid figure to find volume. the volume of a rectangular prism. find the volume of rectangular prisms. use a formula to find the volume of rectangular prisms and compare dimensions. find the volume of combined rectangular prisms. Polygons Triangles Quadrilaterals Reason about Quadrilaterals Cubes and Solid Figures Understand Volume Estimate Volume Volume of Rectangular Prisms Spring Break: March 18 25, 2016 Review Florida Standards (MAFS): April 4 8, 2016 Apply Volume Formulas and Compare Dimensions Find Volume of Combined Figures congruent decagon heptagon hexagon nonagon octagon parallel lines parallelogram pentagon perpendicular lines polygon quadrilateral rectangle regular polygon rhombus trapezoid equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle cubic unit formula rectangular prism solid figure unit cube volume
Scope 2014-2015 3 rd Trimester Florida Standards Assessment (FSA) Testing Window: April 11 May 6, 2016 Finalizing Mastery of Standards (MAFS): May 9 June 2, 2016 Last Day of School: June 2, 2016