Unit. 8 Days : August 24 September 2

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1 1 st Trimester Operations and Algebraic Thinking (OA) Geometry (G) OA.3.5 Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. Draw and identify lines and angles, and classify shapes by properties of their lines and angles. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. G.1.1 G.1.2 G.1.3 Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. 1: Two-Dimensional Figures 8 Days : August 24 September 2 Identify and draw Geometry terms. Sort and classify quadrilaterals based on properties. Identify and draw lines of symmetry in two-dimensional figures. Recognize and classify triangles based on side length and angles. Generate a shape pattern given a rule. Identify features in the pattern not stated in the rule. Lines, Rays, and Angles (10.1) Classifying Quadrilaterals with parallel and perpendicular lines (10.3/10.4) Understand and Draw lines of Symmetry (10.5/10.6) Classify Triangles (10.2/Supplement) Shape Patterns (10.7) angle line line segment lines parallel lines parallelogram perpendicular point quadrilateral ray rectangle regular polygon rhombus right angle square straight angle trapezoid diagonal horizontal line of symmetry line symmetry vertical acute triangle equilateral triangle equiangular triangle isosceles triangle obtuse triangle right triangle scalene triangle

2 1 st Trimester Number and Operations in Base Ten (NBT) Operations and Algebraic Thinking Generalize place value understanding for multi-digit whole numbers. NBT.1.1 NBT.1.2 NBT.1.3 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. Read and write multi-digit whole number using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits of each place, using >, =, and < symbols to record the results of comparisons. Use place value understanding to round multi-digit whole numbers to any place. Use place value understanding and properties of operations to perform multi-digit arithmetic. NBT.2.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. Use the four operations with whole numbers to solve problems. Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60+24=57+27 is true or false. OA.1.a OA.1.b Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking. For example, solve 76+9=n+5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76. 2: Place Value, Addition, and Subtraction to One Million 11 Days: September 3 September 22 Read and write multidigit whole numbers. Understand place value relationships. Compare whole numbers. Round numbers to a specific place. Add multi-digit numbers. Subtract multi-digit numbers. Use comparative relational thinking to determine if a set of equations are equivalent. Use comparative relational thinking to find an unknown. Read and Write Numbers (1.2) Model Place Value Relationships (1.1) Place Value Relationships Practice Compare Numbers (1.3) Round Numbers (1.4 and Supplement) Add Whole Numbers - Round to Check for reasonableness (1.6) Subtract Whole Numbers - Round to Check for reasonableness (1.7) Comparative Relational Thinking Addition Comparative Relational Thinking Subtraction digit expanded form period place value standard form word form compare equal sign greater than sign (>) less than sign (<) number line order estimate round addend addition difference regroup sum

3 1 st Trimester Operations and Algebraic Thinking (OA) OA.3.5 OA.2.4c OA.2.4b OA.2.4a OA.2.4 Gain familiarity with factors and multiples. Investigate factors and multiples: Find all factor pairs for a whole number in the range Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range is a multiple of a given one-digit number. Determine whether a given whole number in the range is prime or composite. Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. 3: Factors, Multiples, and Patterns 6 Days: September 24 October 1 Find all the factor pairs of a number. Determine if a number is prime or composite. Identify common factors. Understand how multiples and factors are related. Generate a number pattern given a rule. Identify features in the pattern not stated in the rule. Divisibility Rules and introduction to factors (5.2) Factor Pairs and Prime and Composite (5.1/5.5) Common Factors (5.3) Multiples (5.4) Number Patterns (5.6/Supplement) array common factor common composite divisible factor multiple number pattern prime number product term

4 1 st Trimester Operations and Algebraic Thinking (OA) Number in Base Ten Use the four operations with whole numbers to solve problems. OA.1.1 OA.1.2 OA.1.3 OA.1.a Interpret a multiplication equation as a comparison, e.g., interpret 35=5x7 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. Multiply or divide to solve word problems 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. 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 computation and estimation strategies including rounding. Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60+24=57+27 is true or false. Use place value understanding and properties of operations to perform multi-digit arithmetic. NBT.2.5 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4: Multiply by 1-Digit Numbers 10 Days: October 2 October 16 Interpret a multiplication equation as a comparison. Solve multiplication comparisons word problems. Select and use appropriate multi-digit by 1 digit multiplication strategies. Assess reasonableness of products using mental math strategies. Solve multi-step word problems involving multiplication. Multiplication Comparisons (2.1/2.2) Multiply by 10s, 100s, and 1000s (2.3) Multiply using expanded form (2.6) Multiply using partial products (2.7) Multiply using mental math and comparative thinking (2.8/supplement) Multiply using the Distributive Property (2.5) Use estimation to determine reasonableness (2.4) One step multiplication word problems Multi-step word problems (2.9/2.12) Associative Property of Multiplication Distributive Property estimate expanded form factor multiply number line partial product place value product round

5 1 st Trimester Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) OA.1.3 NBT.2.6 Use the four operations with whole numbers to solve problems. 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 computation and estimation strategies including rounding. Use place value understanding and properties of operations to perform multi-digit arithmetic. 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 5: Divide by 1 digit numbers 10 Days: October 19 November 3 Understand the relationship between multiplication and division. Select and use appropriate multi-digit by 1 digit division strategies. Assess reasonableness of quotients. Correctly interpret the remainder. Solve multi-step word problems involving division. Relate Multiplication and Division Investigate and Interpret Remainders (4.2/4.3) Divide using base-ten blocks Check for reasonableness (4.9/Supplement) Divide using repeated subtraction and partial quotients (4.7/4.8) Divide using an area model (4.8/supplement) Divide using the Distributive Property (4.6) Single-step Division word problems Interpreting the remainder in word problems Multi-Step Word problems using division (4.12) compatible numbers Distributive Property divide dividend division divisor partial quotient quotient remainder

6 1 st / 2 nd Trimester Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Use the four operations with whole numbers to solve problems. OA.1.3 NBT.2.5 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 computation and estimation strategies including rounding. Use place value understanding and properties of operations to perform multi-digit arithmetic. 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 6: Multiply by 2-Digit Numbers 8 Days: November 5 November 18 Select and use appropriate double digit multiplication strategies. Assess reasonableness of products using mental math strategies. Solve multi-step word problems involving multiplication. Multiply by 10s (3.1) Multiply two 2-digit numbers using the Area Model (3.3) Multiply two 2-digit numbers using partial products (3.4) Estimate double digit multiplication to determine reasonableness (3.2) Double-Digit Practice (3.6/Supplement) Double-Digit Word Problems (3.7) Associative Property of Multiplication Commutative Property of Multiplication estimate factor partial product product round

7 2 nd Trimester Measurement and Data (MD) Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. MD.1.1 MD.1.2 MD.1.3 MD.2.4 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. (Computational fluency with fractions and decimals is not the goal for students at this grade level.) Apply the area and perimeter formulas for rectangles in real world and mathematical problems. Represent and interpret data. Make a line plot to display a data set of measurements in fractions of a unit ( 1 2, 1 4,1 8 ). Solve problems involving addition and subtraction of fractions by using information presented in line plots. 7: Length, Area, and Perimeter 18 Days: November 19 th December 17 th Understand the relative size of length units. Convert length measurements. Measure and record lengths utilizing a line plot. Solve real-world word problems involving lengths. Understand how variables represent values and have meaning. Determine an unknown in an area or perimeter situation. Apply area and perimeter formulas in a variety of real-world situations. Relative Size of Length s (Sup.) Conversions of Metric Lengths (Sup.) Conversions of Customary Lengths Measuring and recording lengths on a line plot Word Problems involving Length (Supplements) How to use formulas Area (13.2) Perimeter (13.1) Find unknown measures (13.4 and Supplement) Area of Combined rectangles (13.3 and Supplement) Word problems involving area and perimeter (Supplements) centimeter kilometer meter foot inch mile yard line plot area base formula height perimeter square unit width

8 2 nd Trimester Number and Operations Fractions (NF) Extend understanding of fraction equivalence and ordering. NF.1.1 NF.1.2 Explain why a fraction a/b is equivalent to a fraction (n x a) / (n x 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 recognize and generate equivalent fractions. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. 8: Fraction equivalence and comparison 9 Days: January 5 th January 15 th Recognize equivalent fractions. Generate equivalent fractions. Compare fractions using appropriate strategies, and justify their conclusions. Review Understanding Fractions Equivalent Fractions with Models (6.1) Generate Equivalent Fractions (6.2) Generate Equivalent fractions with division (6.3) Comparing Fractions Using Benchmarks (6.6) Common denominators (6.4) Comparing Fractions using common denominators (6.7) Comparing mixed numbers and fractions greater than 1 benchmark common denominator common factor common multiple common numerator denominator equivalent fractions factor fraction multiple numerator simplest form

9 2 nd Trimester Number and Operations Fractions (NF) Measurement and Data (MD) Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NF.2.3 MD.1.2 MD.2.4 Understand a fraction a/b with a>1 as a sum of fractions 1/b. a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. c. Add and subtract mixed numbers with like 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. d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. Represent and interpret data. Make a line plot to display a data set of measurements in fractions of a unit ( 1, 1 2 4,1 ). Solve problems involving addition 8 and subtraction of fractions by using information presented in line plots. 9: Add and Subtraction Fractions 10 Days: January 19 th February 4 th Understand and apply addition strategies to fractions. Understand and apply subtraction strategies to fractions. Understand and apply addition strategies to mixed numbers. Understand and apply subtraction strategies to mixed numbers. Solve real-world measurement problems involving the addition and/or subtraction of fractions. Add and subtraction fractions with models (7.1,7.3,7.4) Decompose fractions using addition (7.2) Practice addition and subtraction of fractions (7.5) Rename fractions and mixed numbers (7.6) Add mixed numbers (7.7/Supplement) Subtract Mixed Numbers (7.7/7.8) Add and subtract fractions using data from line plots (12.5/ supplement) Single step measurement word problems with fractions Multi-step fraction word problems (7.10) Associative Property of Addition Commutative Property of Addition fraction greater than 1 mixed number unit fraction

10 2 nd / 3 rd Trimester Number and Operations Fractions (NF) Measurement and Data NF.2.4 MD.1.3 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. a. Understand a fraction a/b as a multiple of 1/b. b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Apply the area and perimeter formulas for rectangles in real world and mathematical problems. 10: Multiply fractions by whole numbers 8 Days: February 8 th February 18 th Understand multiples of fractions. Multiply a fraction by a whole number. Solve real-world measurement word problems with fractions. Multiples of unit fractions (8.1) Multiples of Fractions (8.2) Multiply fractions and whole numbers using models (8.3) Multiply fractions by double digit whole numbers Multiply fractions by mixed numbers (8.4) Multiplicative Comparison word problems with fractions (8.5) Using area and perimeter formulas with fractions Identity Property of Multiplication multiple product

11 3 rd Trimester Number and Operations Fractions (NF) Measurement and Data (MD) Understand decimal notation for fractions, and compare decimal fractions. Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. NF.3.5 NF.3.6 NF.3.7 MD.1.2 Use decimal notation for fractions with denominators 10 or 100. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. (Computational fluency with fractions and decimals is not the goal for students at this grade level.) 11: Relate Fractions to Decimals 7 Days: February 19 th March 2 nd Convert fractions into decimals. Add fractions with tenths and hundredths. Compare decimals. Solve real-world situations involving decimals. Relate tenths and hundredths to decimals (9.1/9.2) Relate decimals, fractions, and money (9.4) Equivalent fractions 10ths to 100ths (9.3/ Supplement) Add 10ths and 100ths (9.6/ Supplement) Compare Decimals (9.7) Word problems with money (9.5) compare decimal decimal point equivalent fraction hundredth place value tenth whole

12 3 rd Trimester Measurement and Data (MD) MD.1.1 MD.1.2 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. (Computational fluency with fractions and decimals is not the goal for students at this grade level.) 12: Relative Size of Measurements 6 Days: March 3 rd March 10 th Know the relative size of a unit within one system of units (weight, liquid volume, time). Convert and record measurements in a twocolumn table. Represent fractional quantities of time on a linear model. Solve measurement word problems using four operations. Weight (12.3/12.7) Liquid Volume (12.4/12.7) Time (12.8) Elapsed Time (12.9) Rewrite measures and Word Problems (Supplement/ 12.10) ounce pound ton weight cup fluid ounce gallon pint quart A.M. day elapsed time hour minute month P.M. second week year

13 3 rd Trimester Measurement and Data (MD) MD.3.5 MD.3.6 MD.3.7 Geometric measurement: understand concepts of angle and measure angles. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. a. 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. An angle that turns through 1/360 of a circle is called a one-degree angle, and can be used to measure angles. b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. 13: Angles 6 Days: March 11 th - March 17 th Understand concepts of angle measurements. Measure and draw angles. Solve addition and subtraction word problems with an unknown angle measure. Angles and degrees (11.1/11.2) Measure and draw angles (11.3) Join and separate angles (11.4) Word problems with angles (11.5/ Supplement) Recognize angle measure as additive. When an angle is decomposed 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, e.g., by using an equation with a symbol for the unknown angle measure. Spring Break: March Florida Standards Assessment (FSA) : March 28 April 8 (ELA on the computer 4/11-5/6) Finalizing Mastery of 4 th Grade MAFS: April 11 June 2 Last Day of School: June 2 acute angle angle circle degree obtuse angle protractor ray reflex angle right angle straight angle vertex

Houston County Schools Grade 4 Math

Houston County Schools Grade 4 Math Grade 4 Math Operations and Algebraic Thinking [OA] Use the four operations with whole numbers to solve problems. Gain familiarity with factors and multiples. Generate and analyze patterns. Number and