DARUL ARQAM Scope & Sequence Mathematics Grade 5. Revised 05/31/ st Quarter (43 Days) Resources: 1 : Aug 9-11 (3 days)

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Maematics Grade 5 1st Quarter (43 Days) st 1 : Aug 9-11 (3 days) Orientation Topic 1: Place Value Lesson 1 Lesson 5 nd 2 : Aug 14-18 rd 3 : Aug 21-25 4 : Aug 28-30 (3 days) Topic 2: Adding and

1 Maematics Grade 5 1st Quarter (43 Days) st 1 : Aug 9-11 (3 days) Orientation Topic 1: Place Value Lesson 1 Lesson 5 nd 2 : Aug rd 3 : Aug : Aug (3 days) Topic 2: Adding and Subtracting Whole Numbers and Decimals Lesson 1- Lesson 5 Topic 3: Multiplying Whole Numbers and Decimals Lesson 1- Lesson 3 Classroom Rules Survey Supply list Routine and procedures Diagnostic test Determine e number of millions in one billion. -Describe a decimal using place value. -Compare and order decimals rough e ousands place. -Round decimals to e nearest whole number to prepare students for learning how to round decimals. -Practice writing to explain answers and problem-solving strategies. 5.2 Read and write whole numbers rough billions. 5.2 represent whole numbers rough billions wi expanded notation. 5.2 understand place value relationships for whole numbers rough billions 5.2A Read and write decimals rough ousands 5.2A Represent decimals rough ousands wi expanded notation. 5.2B compare and order decimals rough ousands. 5.2B Represent decimal comparisons wi >, <, or =. 5.2C Round decimals to e nearest whole number, ten, or hundred. - Use e properties of addition to solve problems mentally. - Use rounding and compatible numbers to estimate sums and differences of whole - Compute sums and differences of two large whole - Add decimals in e hundreds aligning eir decimal points. - Subtract decimals in e hundreds place by using various strategies. - Use rounding or compatible numbers to estimate products of whole - Multiply 3 digit numbers by 2 digit - Use number sense when finding e product of a 3 digit number by a 2 digit number. - Write a real-world problem to a product of multi-digit numbers and solve e problem. 5.3K Use mental ma to add and subtract decimals 5.3A Estimate decimals sums and differences. 5.3K Use e standard algorims to add and subtract whole numbers rough millions. 5.3A Estimate products of 3-digit and 2-digit whole 5.3B Use e standard algorim to multiply whole numbers wi up to 3 digit by 2 digit 5.3E Use number sense to place e decimal point in products of decimals and whole 5.3D Use models to multiply decimals and whole numbers or two decimals wi products to e hundreds. 5.3E Use e standard algorim to multiply two decimals 1

2 Maematics Grade 5 1st Quarter (43 Days) Topic 3 Continued Lesson 4,6,9,11,13 5 : Sept : Sept : Sept : Oct : Oct Topic 4: Number Sense/ Dividing by 2 digit Divisors Lesson 1 Lesson 4 -Find a pattern in products when multiplying a decimal by a power of Model multiplying a whole number by a decimal using a hundreds grid. - Model multiplication of decimals n a hundreds grid. -Solve a multiple step problem at involves multiplying decimals and money. - Find patterns when dividing multiples of ten. - Use mental ma wi compatible numbers to find quotients wi 2-digit divisors. - Use array and area models to represent multi-digit division. - Use metal ma to estimate quotients when e 2 digit divisor is a multiple of ten. wi products to e hundreds. 5.3E Multiply wi money. 5.3A Estimate products of 3-digit and 2-digit whole 5.3B Use e standard algorim to multiply whole numbers wi up to 3 digit by 2 digit 5.3E Use number sense to place e decimal point in products of decimals and whole 5.3D Use models to multiply decimals and whole numbers or two decimals wi products to e hundreds. 5.3E Use e standard algorim to multiply two decimals wi products to e hundreds. 5.3E Multiply wi money. 5.3C Use patterns to divide whole numbers wi up to 4 digits by multiples of A Estimate quotients of dividends wi up to 4 digits and 2-digit divisors. 5.3C Use models to divide whole numbers wi up to 4 digits by 2-digit Review and Benchmark Topic 1-4 Topic 5: Developing Proficiency/ Dividing by 2 digit factor Lesson 1- Lesson 4 Topic 6: Dividing Decimals Lesson 1,2,4,6 -Divide 3-digit numbers by 2-digit numbers wi and wiout remainders. - Find 2 digit quotients when dividing 3-digit numbers by 2-digit - Solve problems involving division of numbers wi 4 digits by 2- digit divisors. - Use estimation to tell wheer a quotient is reasonable or not. - Use patterns to divide wi decimals. - Estimate quotients when dividing wi decimals. - Find e quotient when dividing a decimal by a 1-digit whole number. - Use any strategy to solve a problem involving division of a decimal by 2-digit whole number. 5.3C Use e standard algorim to find 1digit quotients when dividing whole numbers by 2-digit divisors. 5.3C Use e standard algorim to find 2 digit quotients when dividing whole numbers by 2-digit divisors. 5.3C Use e standard algorim to find 3 digit quotients when dividing whole numbers by 2-digit divisors. 5.3G Use patterns to divide decimals by 10 or A Estimate quotients involving decimals. 5.3F Use models to divide decimals by 1 digit whole 2

3 Maematics Grade 5 2nd Quarter (41 Days) st 1 : Oct Topic 6: Dividing Decimals Lesson 1,2,4,6 Topic 7: Adding and Subtracting Fractions Lesson 1- Lesson 9 Equivalent Fractions nd 2 : Oct rd 3 : Oct 30-Nov 3 4 : Nov 6-10 Topic 7: Adding and Subtracting Fractions Lesson 1- Lesson 9 Equivalent Fractions Topic 8: Adding and Subtracting Mixed Numbers - Use patterns to divide wi decimals. - Estimate quotients when dividing wi decimals. - Find e quotient when dividing a decimal by a 1-digit whole number. - Use any strategy to solve a problem involving division of a decimal by 2-digit whole number. -Use basic ma facts to list and compare e factors of a number. - Find equivalent fractions. - Use area models to help write fractions in simplest fractions. - Use a number lie or fraction strips to estimate e sum of two fractions. - Find and represent fractions of e same whole wi unequal denominators. - Use different problem-solving strategies to add fractions wi unlike denominators. - Solve real world problem involving subtraction of fractions wi unlike denominators. - Use a picture to help decide which operation to use when writing a number sentence at represents a given problems - Find and represent fractions of e same whole wi unequal denominators. - Use different problem-solving strategies to add fractions wi unlike denominators. - Solve real world problem involving subtraction of fractions wi unlike denominators. - Use a picture to help decide which operation to use when writing a number sentence at represents a given problems - Identify what fraction or mixed number is represented by a point on e number line. - Use various meods to estimate e sum of two mixed 5.3G Use patterns to divide decimals by 10 or A Estimate quotients involving decimals. 5.3F Use models to divide decimals by 1 digit whole 5.3F Use models to divide decimals by 2 digit whole 5.4A Identify prime and composite 5.3H Find equivalent fractions 5.3A Estimate fraction sums and differences. 5.3H write fractions in simplest form. 5.3H use models and properties to add fractions wi unlike denominators. 5.3H Use models and properties to subtract fractions wi unlike denominators. 5.4A Identify prime and composite 5.3H Find equivalent fractions 5.3A Estimate fraction sums and differences. 5.3H write fractions in simplest form. 5.3H use models and properties to add fractions wi unlike denominators. 5.3H Use models and properties to subtract fractions wi unlike denominators. 5.3H Understand improper fractions and mixed numbers and change a number from one form to e oer. 5.3A Estimate sums and differences of mixed 5.3H Use models and properties to add mixed numbers wi 3

4 Maematics Grade 5 2nd Quarter (41 Days) 5 : Nov Topic 8: Adding and Subtracting Mixed Numbers (Equivalent Fractions) - Use fraction strips to add mixed numbers wi like denominators. like and unlike denominators. 5.3K Add mixed numbers wi like and unlike denominators. - Formulate a plan for adding mixed numbers wi unlike denominators. - Students use fraction strips to model e subtraction of two mixed numbers wi liked denominators. 5.3H Understand improper fractions and mixed numbers and change a number from one form to e oer. 5.3A Estimate sums and differences of mixed 5.3H Use models and properties to add mixed numbers wi like and unlike denominators. 5.3K Add mixed numbers wi like and unlike denominators - Describe fractions as multiples of unit fractions. - Represent and solve problems using an area model. - Consider various strategies for multiplying a fraction and whole number. - Use pictorial models and oer strategies when dividing a whole number by a fraction. - Analyze information and find and solve hidden questions to solve multi-step problems. - Simplify a numerical expression using e order of operations. - Evaluate numerical expressions wi pareneses and brackets, using order of operations. - Evaluate numerical expressions wi pareneses and brackets, using order of operations. - Find rules and write expressions for additive and subtractive patterns. 5.3I Express fractions as multiples of unit fractions. 5.3I multiply fractions and whole 5.3J use models to divide unit fractions by whole 5.3L Divide unit fractions by whole 6 : Nov (2 days) 7 : Nov 27-Dec 1 8 : Dec : Dec Review and Benchmark Topic 5-8 Topic 9: Multiplying and Dividing Fractions Topic 10: Expressions and Equations Lesson 1- Lesson 7 5.4E Evaluate numerical expressions wi pareneses and brackets, using order of operations. 5.4F Simplify numerical expressions. 5.4 Write algebraic expressions. 5.4D write an algebraic expressions as a rule for a table of ordered pairs. Benchmark Reinforcement / Review 4

5 Maematics Grade 5 3rd Quarter (45 Days) Topic 11: Ordered Pairs and e Plane Lesson 1 Lesson 4 st 1 : Jan 3-11 (7 days) nd 2 : Jan Topic 12 : Two- Dimensional Shapes Lesson 1- Lesson 5 Topic 13: Perimeter, Area, and Volume Lesson 1- Lesson 8 rd 3 : Jan : Jan 29-Feb2 Topic 13: Perimeter, Area, and Volume Lesson 1- Lesson 8 - Name and graph points in e first quadrant of e coordinate plane. - Complete a table to make a graph based on a situation at can described by an addition rule. - identify multiplicative patterns when graphing points in e first quadrant of e coordinate plane. - Identify polygons based on e number of sides. - Classify triangles according to leng of its sides and measure of its angles. - Learn to classify quadrilaterals. - Classify and compare special quadrilaterals. - Classify quadrilaterals in a hierarchy of sets and subsets. - Find e perimeter of a polygon. - Use formulas to find e area of squares and rectangles. - Represent e process of breaking a figure into parts to find is area. - Construct models to find e number of cubes at make up a rectangular prism. - Solve real world problems involving volume of a rectangular prism. - Analyze a composite solid figure, identify e rectangular prism, and calculate its total volume. - Construct models to find e number of cubes at make up a rectangular prism. - Solve real world problems involving volume of a rectangular prism. - Analyze a composite solid figure, identify e rectangular prism, and calculate its total volume. 5.8A Understand e parts of a coordinate plane including e x-axis, y-axis, and origin. 5.8B Use an ordered air to plot a point on a coordinate grid. 5.8B Identify e ordered pairs for a point of a coordinate grid. 5.8C Graph ordered pairs of umbers from a table showing an additive pattern. 5.8C Graph ordered pairs of umbers from a table showing a multiplicative pattern. 5.4C Graph an equation of e form y=ax or y=x+a on a coordinate plane. 5.4D Distinguish between additive and multiplicative patterns in tables and graphs. 5.5 Identify polygons, including triangles, quadrilaterals, pentagons, hexagons, and octagons. 5.5 Identify regular polygons 5.5 Identify attributes of polygons including e number of vertices and sides. 5.5 Classify triangles by lengs ad angles. 5.5 Use attribute and properties to classify quadrilaterals. 5.5 Classify quadrilaterals in a hierarchy of sets and subsets. 5.4H solve problems related to perimeter. 5.4H solve problems related to area of a rectangle or square. 5.4H Sole problems related to bo perimeter and area. 5.4H Find e area of a composite shape. 5.6A Understand unit cubes and at volume is found by filling a solid wi unit cubes. 5.6B Find e volume of a rectangular prism by multiplying e number of layers by e number of cubes in each layer. 5.4G Use model to develop e formulas for e volume of a rectangular prism and a cube. 5

6 Maematics Grade 5 3rd Quarter (45 Days) 5 : Feb : Feb Topic 13: Perimeter, Area, and Volume Lesson 1- Lesson 8 Topic 14: Measurement Units ad Conversions 7 : Feb Topic 14: Measurement Units ad Conversions Topic 15: Data Analysis Lesson 1- Lesson 9 8 : Feb 26-Mar 2 - Represent e process of breaking a figure into parts to find is area. - Construct models to find e number of cubes at make up a rectangular prism. - Solve real world problems involving volume of a rectangular prism. - Analyze a composite solid figure, identify e rectangular prism, and calculate its total volume. -Convert customary units of leng. - Convert customary units of capacity. - Convert customary units of weight. - Measure e same leng using different metric units. - Convert metric units of capacity. - Convert metric units of mass. 5.4B Use formulas to solve problems related to perimeter, area, and volume. 5.6A Understand unit cubes and at volume is found by filling a solid wi unit cubes. 5.6B Find e volume of a rectangular prism by multiplying e number of layers by e number of cubes in each layer. 5.4G Use model to develop e formulas for e volume of a rectangular prism and a cube. 5.4B Use formulas to solve problems related to perimeter, area, and volume. 5.7A solve problems by calculating conversions wiin a measurement system, customary or metric. -Convert customary units of leng. - Convert customary units of capacity. - Convert customary units of weight. - Measure e same leng using different metric units. - Convert metric units of capacity. - Convert metric units of mass. 5.7A solve problems by calculating conversions wiin a measurement system, customary or metric. - Analyze and use information in a dot plot. - Organize and represent measurement data. - Use bar graphs to answer questions and solve problems. - Display survey results in a bar graph. - illustrate how to read data in a steam and leaf plot. - Determine if ere is a relationship between e two sets of values in a table. 5.9C solve one and two-step problems by interpreting dot plots. 5.9A make dot plots to organize and represent numerical data including measurement data. 5.9C solve one and two-step problems by interpreting bar graphs. 5.9C solve one and two-step problems by interpreting scatterplots. 5.9B Make scatterplots to organize and represent discrete paired data. 6

7 Maematics Grade 5 3rd Quarter (45 Days) Topic 15: Data Analysis Lesson 1- Lesson 9 9 : Mar Analyze and use information in a dot plot. - Organize and represent measurement data. - Use bar graphs to answer questions and solve problems. - Display survey results in a bar graph. - illustrate how to read data in a steam and leaf plot. - Determine if ere is a relationship between e two sets of values in a table. 5.9C solve one and two-step problems by interpreting dot plots. 5.9A make dot plots to organize and represent numerical data including measurement data. 5.9C solve one and two-step problems by interpreting bar graphs. 5.9C solve one and two-step problems by interpreting scatterplots. 5.9B Make scatterplots to organize and represent discrete paired data. 4 Quarter (47 Days) st 1 : Mar nd 2 : Mar rd 3 : Apr : Apr : Apr Topic 16: Personal Financial Literacy Lesson 1- Lesson 5 - List ways country governments can raise money. - Explain why ey ink gross income and net income are different. - Explore different ways to pay for an item and discuss which ey like better. - Create a balanced budget for a given amount of income A define income tax, payroll tax, sales tax, and property tax. 5.10A Find e total cost of a purchase wi sales tax. 5.10B Find gross income and net income. 5.10D Keep Financial records 5.10F Balance a budget 5.10E Explain how to balance a budget when expense are more an income. Review for STAAR ***MATH STAAR *** STEP UP TO 6 GRADE Lessons 1-4 STEP UP TO 6 GRADE Lesson C Locate, compare, and order integers and rational numbers using a number line. 6.3A recognize at dividing by a rational number and multiplying by its reciprocal result in equivalent values. 6.3 A recognize at dividing by a rational number and multiplying by its reciprocal result in equivalent values. 7

8 Maematics Grade 5 4 Quarter (47 Days) STEP UP TO 6 GRADE Lessons : April C Give examples of ratios as multiplicative comparisons of two quantities describing e same attribute. 6.4E Represent ratios and percent, wi concrete model, fractions, and decimals. 6.4G Generate equivalent forms of fractions, decimals, and percent using real world problems, including problems involving money. 6.5A Represent maematical and real world problems, involving ratios and rate using scale factors, tables, graphs, and proportions. 6.8B Model area formulas for parallelograms, trapezoids, ad triangles by decomposing and rearranging parts of ese shape Use coordinate geometry to identify locations on a plane. Graph points in all four quadrants using ordered pairs of rational 7 : April 30-May 4 8 : May : May : 10 May STAAR Review for Science ***Science STAAR*** STEP UP TO 6 GRADE Lessons 8-10 Graduation 8

1st Quarter (41 Days)

DUA Nor 4 Grade Ma Scope & Sequence 1st Quarter (41 Days) st 1 : Aug 8-10 (3 days) nd 2 : Aug 13-17 Reporting Categories ( TEKS SEs) Welcome Survey- Getting to know you Collect and Log supplies received