Fifth Grade Mathematics Curriculum Guide Bay District Schools Florida Standards Unit/Big Idea Pacing Critical Focus Area 2 Operations and Algebraic Thinking: Write and Interpret Numerical Expressions 5 Days Florida Standard(s) MAFS.5.OA.1.2 Domain/Big Idea Operations and Algebraic Thinking: Write and Interpret Numerical Expressions Essential Question(s) Vocabulary How can you use a numerical expression to describe a situation? numerical expressions Date(s) Instructional Resources Go Math – 1.10 Algebra: Numerical Expressions NO CONTEXT. Do not write expressions about stories as is in Go Math Lesson. Expressions should be written about words without context such as: Divide 10 by 2, then subtract 3 or Add 5 and 14, triple the sum, and then add four-fifths. Students will also need to interpret these numerical expressions without evaluating them such as: recognizing that 3 x (18,932 + 921) is three times as large as the sum of 18,932 + 921. This is not covered in the GO Math lesson. MAFS.5.OA.1.1 Operations and Algebraic Thinking: Write and Interpret Numerical Expressions In what order must operations be evaluated to find the solution to a problem? evaluate order of operations Go Math - 1.11 Evaluate Numerical Expressions Do not include exponents in expressions that are being evaluated. Students will also need to be able to locate errors in the steps of a numerical expression that has BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 2 Florida Standard(s) MAFS.5.OA.1.1 Domain/Big Idea Operations and Algebraic Thinking: Write and Interpret Numerical Expressions Essential Question(s) Vocabulary Instructional Resources already been evaluated. This is not covered in the Go Math Lesson. Go Math - 1.12 Algebra: Grouping Symbols In what order must operations be evaluated to find the correct solution when there are parentheses within parentheses? Do not include exponents in expressions that are being evaluated. Do not use context. Students should not be writing expressions in this lesson, only evaluating them. Students will also need to be able to locate errors in the steps of a numerical expression that has already been evaluated. This is not covered in the Go Math Lesson. Formative Assessment Options Summative Assessment Options MAFS.5.OA.1.1: Place The Parentheses: Students are given an equation and asked to place parentheses within the equation to make the equation true. With and Without Parentheses: Students consider two different yet similar equations and determine if they are true. Evaluating Expressions: Students are asked to evaluate two similar expressions and explain why the answers are different. More Expressions: Students are asked to insert parentheses into an expression in two different ways, evaluate each way, and explain why the answers are different. PLC Created Assessment MAFS.5.OA.1.2: Comparing Products: Students are asked to analyze and compare two related products. BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 3 Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources How Much Greater Is The Product?: Students are asked to model an expression that is a multiple of a sum and to compare the expression to the sum. Brayden’s Video Game: Students are asked to write an expression requiring more than one operation and the use of parentheses to model a word problem. Write the Expression: Students are presented with a verbal description of a numerical expression and are asked to write the expression and then compare it to a similar expression. Unit/Big Idea Pacing Critical Focus Area 1 Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions 6 Days Florida Standard(s) MAFS.5.NF.1.2 MAFS.5.NF.1.2 Domain/Big Idea Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Essential Question(s) Vocabulary How can you make reasonable estimates of fraction sums and differences? How can you use models to add fractions that have different denominators? benchmark Sum difference How can you use models to subtract fractions that have different denominators? Date(s) Instructional Resources Go Math – 6.3 Estimate Fraction Sums and Differences Go Math - 6.1 Investigate: Addition with Unlike Denominators Go Math – 6.2 Investigate: Subtraction with Unlike Denominators Students should be solving all of these problems using visual BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 4 Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources fraction models and equations to represent problems. Finding the least common denominator is not required. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. MAFS.5.NF.1.1 MAFS.5.NF.1.1 MAFS.5.NF.1.2 Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions How can you rewrite a pair of fractions so that they have a common denominator? common denominator common multiples equivalent fractions How can you use a common denominator to add and subtract fractions with unlike denominators? Go Math - 6.4 Common Denominators and Equivalent Fractions Go Math – 6.5 Add and Subtract Fractions with Unlike Denominators Finding the least common denominator is not required. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Problems should be presented both in the form of word problems and without context. Students should be exposed to some problems with up to 3 fractions being added. BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 5 Florida Standard(s) MAFS.5.NF.1.1 MAFS.5.NF.1.2 Domain/Big Idea Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Essential Question(s) How can you add and subtract mixed numbers with unlike denominators? Vocabulary mixed number Instructional Resources The students will need to be able to use benchmark fractions and number sense of fractions to estimate the reasonableness of results AND to do mental math. Instead of teaching it in isolation from lesson 6.3, it should be taught throughout the unit as a way to check reasonableness or as a mental math activity. Go Math – 6.6 Add and Subtract Mixed Numbers with Unlike Denominators Finding the least common denominator is not required. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Problems should be presented both in the form of word problems and without context. Students should be exposed to some problems with up to 3 mixed numbers being added. The students will need to be able to use benchmark fractions and number sense of fractions to estimate the reasonableness of results AND to do mental math. Instead of teaching it in isolation from lesson 6.3, it should be taught throughout the unit as a way to BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 6 Florida Standard(s) MAFS.5.NF.1.1 MAFS.5.NF.1.1 MAFS.5.NF.1.2 Domain/Big Idea Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Essential Question(s) Vocabulary How can properties help you add fractions with unlike denominators? How can you use renaming to find the difference of two mixed numbers? Instructional Resources check reasonableness or as a mental math activity. Go Math – 6.10 Algebra: Use Properties of Addition Go Math – 6.7 Subtraction with Renaming Finding the least common denominator is not required. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Problems should be presented both in the form of word problems and without context. It is not necessary to teach BOTH “Renaming the first mixed number” and “Renaming both mixed numbers as fractions greater than one.” Either strategy is appropriate. The students will need to be able to use benchmark fractions and number sense of fractions to estimate the reasonableness of results AND to do mental math. Instead of teaching it in isolation from lesson 6.3, it should be taught throughout the unit as a way to BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 7 Florida Standard(s) MAFS.5.NF.1.1 Domain/Big Idea Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions Essential Question(s) Vocabulary check reasonableness or as a mental math activity. Go Math - 6.9 Problem Solving- Practice Addition and Subtraction How can the strategy work backward help you solve a problem with fractions that involves addition and subtraction? Formative Assessment Options Instructional Resources Summative Assessment Options MAFS.5.NF.1.1: Adding Fractions with Unlike Denominators: Students are asked to add two pairs of fractions with unlike denominators. Subtracting Fractions: Students are asked to subtract fractions with unlike denominators. Subtracting More Fractions: Students are asked to subtract improper fractions and mixed numbers with unlike denominators. Adding More Fractions with Unlike Denominators: Students are asked to add pairs of fractions with unlike denominators. MAFS.5.NF.1.2: PLC Created Assessment Baking Cakes: Students are asked to estimate the sum of two mixed numbers and then calculate the sum. Sarah’s Hike: Students are asked to estimate the difference between two fractional lengths and then calculate the difference. Maris Has a Party: Students are given a word problem involving fractions with unlike denominators and are asked to estimate the sum, explain their reasoning, and then determine the sum. Just Run: Students are given a word problem involving subtraction of fractions with unlike denominators. Students are asked to determine if a given answer is reasonable, explain their reasoning, and calculate the answer. BDS Division of Teaching and Learning Curriculum Guide 2014-15 (Revised 8/26/14) 8 Unit/Big Idea Pacing Critical Focus Area 1 Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply Fractions 9 Days Florida Standard(s) MAFS.5.NF.2.4a MAFS.5.NF.2.4a MAFS.5.NF.2.4a Domain/Big Idea Essential Question(s) Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply Fractions How can you find a fractional part of a group? Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply Fractions How can you find the product of a fraction and a whole number without using a model? BDS Division of Teaching and Learning Vocabulary denomi nator numer ator product How can you use a model to show the product of a fraction and a whole number? Date(s) Instructional Resources Go Math – 7.1 Find Part of a Group Go Math – 7.2 Investigate: Multiply Fractions and Whole Numbers Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Go Math – 7.3 Fraction and Whole Number Multiplication Include fractions greater than one. Do not require students to “simplify” “write in lowest terms” or Curriculum Guide 2014-15 (Revised 8/26/14) 9 Florida Standard(s) MAFS.5.NF.2.4b MAFS.5.NF.2.5a MAFS.5.NF.2.5b MAFS.5.NF.2.4a Domain/Big Idea Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions BDS Division of Teaching and Learning 10 Essential Question(s) How can you use an area model to show the product of two fractions? Vocabulary equivalent fraction Instructional Resources “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Go Math – 7.4 Investigate: Multiply Fractions For tiling, models should be rectangles not circles so that students can relate the problems to their understanding of finding area. How does the size of the product compare to the size of one factor when multiplying fractions? How do you multiply fractions? Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. Go Math – 7.5 Compare Fraction Factors and Products Go Math – 7.6 Fraction Multiplication Include improper fractions. Finding the least common denominator is not required. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) MAFS.5.NF.2.4b MAFS.5.NF.2.5.a MAFS.5.NF.2.5.b MAFS.5.NF.2.6 Domain/Big Idea Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Essential Question(s) How can you use a unit tile to find the area of a rectangle with fractional side lengths? Vocabulary mixed number Instructional Resources do have to recognize that an answer can be represented in different ways by using equivalent fractions. Go Math – 7.7 Investigate: Area and Mixed Numbers How does the size of the product compare to the size of one factor when multiplying fractions greater than one? Go Math – 7.8 Compare Mixed Number Factors and Products How do you multiply mixed numbers? Go Math – 7.9 Multiply Mixed Numbers These problems should be presented in word problems. Multiply a fraction by a mixed number. Do not multiply mixed numbers by mixed numbers. Do not require students to “simplify” “write in lowest terms” or “write in simplest form.” Students do have to recognize that an answer can be represented in different ways by using equivalent fractions. BDS Division of Teaching and Learning 11 Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) MAFS.5.NF.2.5.b Domain/Big Idea Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Essential Question(s) Vocabulary Go Math – 7.10 Problem Solving- Find Unknown Lengths How can you use the strategy Guess, Check, and Revise to solve problems with fractions? Formative Assessment Options Summative Assessment Options MAFS.5.NF.2.4: Multiplying Fractions by Whole Numbers: Students are asked to consider an equation involving multiplication of a fraction by a whole number and create a visual fraction model. Additionally, the student is asked to interpret multiplying the number of parts by the whole number. Multiplying Fractions by Fractions: Students are asked to consider an equation involving multiplication of fractions, then create a visual fraction model, and write a story context to match. The Rectangle: Students determine the area of a rectangle with given fractional dimensions by multiplying. Students are then asked to draw a model to find the area of the same rectangle. Using Visual Fraction Models: Students interpret a visual fraction model showing multiplication of two fractions less than one. PLC Created Assessment MAFS.5.NF.2.5: Estimating Products: Students are given three products, each involving a whole number and a fraction, and are asked to estimate the size of the product and explain their reasoning. More Than or Less Than Two Miles: Students are asked to reason about the size of the product of fractions and whole numbers presented in context. Multiplying by a Fraction Less than One: Students are asked to describe the size of a product of a fraction less than one and a whole number without multiplying. BDS Division of Teaching and Learning 12 Instructional Resources Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources Multiplying by a Fraction Greater Than One: Students are asked to describe the size of a product of a fraction greater than one and a whole number without multiplying. MAFS.5.NF.2.6: Pizza Party: Students are asked to solve a word problem by finding the product of two fractions. Box Factory: Students are asked to solve a word problem by finding the product of two fractions. Half of a Recipe: Students are asked to solve a word problem by finding the product of a fraction and a mixed number. Candy at the Party: Students are asked to solve a word problem by finding the product of two mixed numbers. Unit/Big Idea Pacing Critical Focus Area 1 Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Divide Fractions 7 Days Florida Standard(s) MAFS.5.NF.2.3 Domain/Big Idea Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions BDS Division of Teaching and Learning 13 Essential Question(s) Vocabulary How does a fraction represent division? Curriculum Guide 2014-15 (Revised 8/26/14) Date(s) Instructional Resources Go Math –8.3 Connect Fractions to Division Florida Standard(s) MAFS.5.NF.2.7a MAFS.5.NF.2.7b Domain/Big Idea Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions Number and Operations: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions MAFS.5.NF.2.7b MAFS.5.NF.2.7c MAFS.5.NF.2.7a MAFS.5.NF.2.7b MAFS.5.NF.2.7c Essential Question(s) Vocabulary How do you divide a whole number by a fraction and divide a fraction by a whole number? dividend fraction quotient whole number Go Math – 8.2 Problem Solving: Use Multiplication How can you divide fractions by solving a related multiplication sentence? Go Math – 8.4 Fraction and Whole Number Division How can you use diagrams, equations, and story problems to represent division? equation Go Math – 8.5 Interpret Division with Fractions Summative Assessment Options MAFS.5.NF.2.3: Sharing Pizzas: Students are asked to draw a visual fraction model to solve a division word problem. BDS Division of Teaching and Learning 14 Go Math – 8.1 Investigate: Divide Fractions and Whole Numbers How can the strategy draw a diagram help you solve division problems by writing a multiplication sentence? Formative Assessment Options Instructional Resources PLC Created Assessment Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources Sharing Brownies: Students are asked to draw a visual fraction model to solve a division word problem. Two Thirds: Students are asked to interpret a fraction and write a word problem to match the context of the fraction. Five Thirds: Students are asked to interpret an improper fraction and then write a word problem to match the context of the fraction. MAFS.5.NF.2.7: Whole Numbers Divided by Fractions: Students are given a division expression and asked to write a story context to match the expression and use a visual fraction model to solve the problem. Fractions Divided by Whole Numbers: Students are given a division expression and asked to write a story context to match the expression and use a visual fraction model to solve the problem. Bags of Fudge: Students are asked to solve a word problem involving division of a whole number by a fraction. Relay Race: Students are asked to solve a word problem involving division of a fraction by a whole number. Unit/Big Idea Measurement and Data: Represent and Interpret Data Pacing 6 Days Geometry: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems Operations and Algebraic Thinking: Analyze Patterns and Relationships BDS Division of Teaching and Learning 15 Curriculum Guide 2014-15 (Revised 8/26/14) Date(s) Florida Standard(s) MAFS.5.MD.2.2 MAFS.5.G.1.1 MAFS.5.G.1.2 MAFS.5.G.1.2 MAFS.5.G.1.2 MAFS.5.NBT.2.7 MAFS.5.NF.1.1 Domain/Big Idea Essential Question(s) Measurement and Data: Represent and Interpret Data Geometry: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems How can a line plot help you find an average with data given in fractions? Geometry: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems Geometry: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems Number and Operations in Base Ten: Perform Operations with Multidigit Whole Numbers and with Decimals to Hundredths Number and Operations: Use Equivalent Fractions as a Strategy to Add and Subtract Fractions How can you use a coordinate grid to display data collected in an experiment? BDS Division of Teaching and Learning 16 How can you identify and plot points on a coordinate grid? Vocabulary Instructional Resources Go Math – 9.1 Line Plots ordered pair origin x-axis x-coordinate y-axis y-coordinate Go Math – 9.2 Ordered Pairs Students also need to be able to add points based on the location of other points. For example, Point A has the coordinates (3, 5). Point B is located 5 units above Point A. This is not included in the Go Math lesson. Go Math – 9.3 Graph Data How can you use a line graph to display and analyze real-world data? interval line graph scale Go Math – 9.4 Line Graphs How can you use addition and subtraction to describe a pattern or create a sequence with decimals? sequence term Go Math – 3.10 Algebra: Patterns with Decimals How can you use addition or subtraction to describe a pattern or create a sequence with fractions? Curriculum Guide 2014-15 (Revised 8/26/14) Go Math - 6.8 Algebra: Patterns with Fractions Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources MAFS.5.OA.2.3 Operations and Algebraic Thinking: Analyze Patterns and Relationships How can you identify a relationship between two numerical patterns? Go Math – 9.5 Numerical Patterns MAFS.5.OA.2.3 Operations and Algebraic Thinking: Analyze Patterns and Relationships How can you write and graph ordered pairs on a coordinate grid using two numerical patterns? Go Math – 9.7 Graph and Analyze Relationships Formative Assessment Options Summative Assessment Options MAFS.5.MD.2.2: Rock Measurements Part One: Students are asked to use a given set of data to create a line plot with an appropriate scale. Rock Measurements Part Two: Students analyze data presented in a line plot and solve problems related to the data. Bulk Candy Part One: Students are asked to use a given set of data to create a line plot with an appropriate scale. Bulk Candy Part Two: Students analyze data presented in a line plot and solve problems related to the data. MAFS.5.G.1.1: PLC Created Assessment Properties of Coordinate Planes: Students describe the different components of a coordinate plane and then determine the coordinates of a point located in quadrant one. What Do the Coordinates Mean?: Students are asked to explain the meaning of each coordinate and identify the x- and y-coordinates of a given ordered pair. Coordinates: Students will use directions provided to locate a point on the coordinate plane and then identify its x- and ycoordinates. Understanding Coordinates: Students are asked to explain the meaning of each coordinate and identify the x- and ycoordinates of a given ordered pair. BDS Division of Teaching and Learning 17 Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources MAFS.5.G.1.2: Name the Ordered Pair: Students determine the coordinates of the fourth vertex of a rectangle on the coordinate plane. Mowing the Lawn: Students are asked to determine and graph the relationship between two variables within a real world context. Making Bracelets: Students determine and graph the relationship between two variables set in a real world context, and interpret coordinate values of points in the context of the situation. On the Coordinate Plane: Students are asked to graph points in the first quadrant of the coordinate plane. MAFS.5.OA.2.3: Generating Two Patterns: Students are given two rules and are asked to generate patterns. Exploring Related Patterns: Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns. Comic Books: Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns. Choo Choo Trains Company: Students are asked to fill in missing values in a table of numerical patterns and describe relationships between corresponding terms. Unit/Big Idea Measurement and Data: Convert Like Measurement Units within a Given Measurement System BDS Division of Teaching and Learning 18 Curriculum Guide 2014-15 (Revised 8/26/14) Pacing 7 Days Date(s) Florida Standard(s) MAFS.5.MD.1.1 MAFS.5.MD.1.1 MAFS.5.MD.1.1 Domain/Big Idea Measurement and Data: Convert Like Measurement Units within a Given Measurement System Measurement and Data: Convert Like Measurement Units within a Given Measurement System Measurement and Data: Convert Like Measurement Units within a Given Measurement System Essential Question(s) How can you compare and convert customary units of length? How can you compare and convert units of weight? How can you compare and convert customary units of capacity? Vocabulary foot inch mile yard ounce pound ton weight capacity cup gallon pint quart Instructional Resources Go Math - 10.1 Customary Lengths There will not be a reference sheet so students will need to be given the conversion necessary for each problem. Only use: foot inch mile yard Go Math – 10.3 Weight There will not be a reference sheet so students will need to be given the conversion necessary for each problem. Only use: ounce pound ton weight Go Math – 10.2 Customary Capacity There will not be a reference sheet so students will need to be given the conversion necessary for each problem. Only use: cup gallon pint quart BDS Division of Teaching and Learning 19 Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) MAFS.5.MD.1.1 MAFS.5.MD.1.1 Domain/Big Idea Essential Question(s) Vocabulary Measurement and Data: Convert Like Measurement Units within a Given Measurement System Measurement and Data: Convert Like Measurement Units within a Given Measurement System How can you solve multistep problems that include measurement conversions? Go Math – 10.4 Multistep Measurement Problems There will be a reference sheet. How can you compare and convert metric units? Formative Assessment Options mass centimeter gram milligram kilogram kilometer liter meter milliliter millimeter Party Planning: Students are asked to solve two multi-step word problems that require converting units. Candy and Ribbon: Students are asked to solve multi-step word problems that require converting units. Converting Measurement Units Part One: Students are asked to make smaller to larger unit measurement conversions within the customary and metric systems. Converting Measurement Units Part Two: Students are asked to make larger to smaller unit measurement conversions within the customary and metric systems. BDS Division of Teaching and Learning 20 Go Math -10.5 Metric Measures Only use: mass centimeter gram milligram kilogram kilometer liter meter milliliter millimeter Summative Assessment Options MAFS.5.MD.1.1: Instructional Resources PLC Created Assessment Curriculum Guide 2014-15 (Revised 8/26/14) Unit/Big Idea Geometry: Classify Two-Dimensional Figures into Categories Based on their Properties Pacing 11 Days Date(s) Critical Focus Area 3 Measurement and Data: Geometric Measurement- Understand Concepts of Volume and Relate Volume to Multiplication and Division Florida Standard(s) Domain/Big Idea Essential Question(s) MAFS.5.G.2.3 MAFS.5.G.2.4 Geometry: Classify Two-Dimensional Figures into Categories Based on their Properties How can you identify and classify polygons? MAFS.5.G.2.3 MAFS.5.G.2.4 Geometry: Classify Two-Dimensional Figures into Categories Based on their Properties How can you classify triangles? MAFS.5.G.2.3 MAFS.5.G.2.4 Geometry: Classify Two-Dimensional Figures into Categories Based on their Properties How can you classify and compare quadrilaterals? BDS Division of Teaching and Learning 21 Vocabulary congruent heptagon nonagon polygon regular polygon decagon hexagon octagon pentagon quadrilateral equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle parallel lines parallelogram perpendicular lines rectangle rhombus trapezoid Curriculum Guide 2014-15 (Revised 8/26/14) Instructional Resources Go Math – 11.1 Polygons Go Math – 11.2 Triangles Go Math - 11.3 Quadrilaterals Florida Standard(s) MAFS.5.MD.3.3a MAFS.5.MD.3.3b MAFS.5.MD.3.4 MAFS.5.MD.3.4 MAFS.5.MD.3.5a MAFS.5.MD.3.5b Domain/Big Idea Essential Question(s) Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to Multiplication and Division Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to Multiplication and Division Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to Multiplication and Division Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to Multiplication and Division Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to What is a unit cube and how can you use it to build a solid figure? BDS Division of Teaching and Learning 22 How can you use unit cubes to find the volume of a rectangular prism? Vocabulary unit cube cubic unit volume Instructional Resources Go Math – 11.6 Investigate: Unit Cubes and Solid Figures Go Math – 11.7 Investigate: Understanding Volume How can you use an everyday object to estimate the volume of a rectangular prism? Go Math – 11.8 Investigate: Estimating Volume How can you find the volume of a rectangular prism? Go Math – 11.9 Volume of Rectangular Prisms How can you use a formula to find the volume of a rectangular prism? Go Math – 11.10 Algebra: Apply Volume Formulas Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) Domain/Big Idea Multiplication and Division Measurement and Data: Geometric MeasurementUnderstand Concepts of Volume and Relate Volume to Multiplication and Division MAFS.5.MD.3.5c Essential Question(s) Vocabulary Go Math – 11.12 Find Volume of Composed Figures How can you find the volume of rectangular prisms that are combined? Formative Assessment Options Summative Assessment Options MAFS.5.G.2.3: Classifying Squares: Students discuss the attributes of squares and rhombuses and consider how these two shapes are related. What Do You Know About Rectangles?: Students are asked to describe the defining attributes of parallelograms and to consider the relationship between rectangles and parallelograms. Guess My Shape: Using shape attribute clues, the student is asked to determine two shapes that fit these clues and describe a category to which both belong. Shape Clues: Using shape attribute clues, the student will determine shapes that fit these clues and describe a category to which they both belong. PLC Created Assessment MAFS.5.G.2.4: Classifying Quadrilaterals: Students are given a diagram of quadrilaterals that have been sorted and are asked to determine how the shapes were sorted. Then, students are given two additional quadrilaterals and asked to place them into the appropriate region on the diagram. Trapezoids: Students are asked to consider how the hierarchy of quadrilaterals would change based on the two different definitions of trapezoids. BDS Division of Teaching and Learning 23 Instructional Resources Curriculum Guide 2014-15 (Revised 8/26/14) Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Where Do They Belong: Students are asked to sort shapes using a Venn diagram and to determine the label for each section of the diagram. Classifying Shapes: Students are asked to classify quadrilaterals and trapezoids by their properties. MAFS.5.MD.3.3: How Do We Determine Volume?: Students are asked to determine how a unit cube can be used to measure the volume of a rectangular prism. Determining Volume: Students analyze a rectangular prism that contains one layer of unit cubes and are asked to explain how to determine the volume of the entire prism using only the information given. How Do You Find the Volume?: Students discuss the volume of a prism measured in cubic units with gaps between the unit cubes used to measure its volume. MAFS.5.MD.3.4: Find the Volume: Students are asked to count unit cubes to determine the volume of a right rectangular prism. Volume With Improved Units: Students determine how many improvised units of volume will fill a large box. Volume in Cubic Units: Students are asked to determine the volume of a rectangular prism in cubic units. Measuring Volume: Students are asked to determine the volume of a rectangular prism by using both a formula and counting cubic units. MAFS.5.MD.3.5: Using Additive Reasoning When Finding Volume: Students are asked to find the volumes of solids composed of rectangular prisms. BDS Division of Teaching and Learning 24 Curriculum Guide 2014-15 (Revised 8/26/14) Instructional Resources Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Determining Dimensions: Students are given the total volume of a rectangular prism and constraints on one dimension and asked to provide dimensions that would fit the constraints. Volume Two Ways: Students are asked to compare different strategies for finding the volume of a rectangular prism. Determining and Interpreting Volume: Students will determine the volume of a right rectangular prism and interpret volume as a threefold whole number product. BDS Division of Teaching and Learning 25 Curriculum Guide 2014-15 (Revised 8/26/14) Instructional Resources
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