Grade 5 Math Curriculum Map Introduction The following Curriculum Map has been created by a team of Manchester Township School District elementary teachers. As fifth grade teachers utilize this information to create lesson plans, please remember that the art of differentiation starts with the great awareness that all students can and will learn. Teachers should continue to use differentiated instruction throughout each unit. It is suggested that when planning lessons, teachers use Common Core State Standards, side by side with the Essential Questions and Enduring Understandings as described on the Curriculum Map. The CCSS define what students should understand and be able to do in their study of mathematics ( www.corestandards.org ). Please note that the Common Core State Standards for Math are listed under for each unit. According to an article appearing on www.corestandards.org website, Students with disabilities must be challenged to excel within the general curriculum and be prepared for success in their post school lives, including college and/or careers. As teachers create dynamic lesson plans, they will be mindful that the Common Core State Standards are a central part of instruction, particularly since it is through the CCSS that all students will be ready to achieve in order to be college and career ready. Note that the current elementary math program, My Math, has been aligned and correlated to the district's current special education resource, Math-U-See program. The CCSS focus on clear, concise, and rigorous skills and concepts which are scaffolded throughout the grade levels. The Standards not only provide opportunities to explore and develop College and Career Readiness Skills, but they also encourage students to solve real world problems. The Curriculum Map for Math will highlight the integration of reading, writing, speaking, listening, technology, and science. Please also note problem-based learning units which are imbedded throughout the curriculum. December 2014 1
Mathematics UNIT ONE Content Area: Mathematics Grade: 5 Domain: Number and Operations Base Ten Chapters 1 through 6 Month: September - December Essential Question: How does the position of a digit in a number relate to its value? (Chapter one) Essential Question: What strategies can be used to multiply whole numbers? (Chapter two) Essential Question: What strategies can be used to divide whole numbers? (Chapter three) Essential Question: What strategies can I use to divide by a two digit divisor? (Chapter four) Essential Question: How can I use place value and properties to add and subtract decimals? (Chapter five) Essential Question: How is multiplying and dividing decimals similar to multiplying and dividing whole numbers? (Chapter six) Standard Number 5.NBT.1 5.NBT.3 Topic Resources Suggested Activities Additional Materials and My Learning Stations My Math Chapter 1 10 by 10 grids and number Glossary lines Lesson 1: Students will read and Place Value charts write whole numbers through the Connected resources millions. online Recognize the value of a digit; understand place value SWBAT recognize that in a multi-digit number, a digit in a one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents to its left. Compare decimals to thousandths; expanded form SWBAT read, write, and compare decimals to thousandths. My Math Chapter 1 Lesson 2: Students will compare and order whole numbers. Lesson 3: Students will use models to relate decimals to fractions. Lesson 4: Students will represent Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Real World Problem Solving reader: Our Nation s 50 States Graphic Novel: Popular Pet Activity Card: Music Countdown 2
5.NBT.3a 3 SWBAT read and write decimals to the thousandths using base-ten numerals, number names, and expanded form. 5.NBT.3b SWBAT compare two decimals to thousandths based on meanings of the digits using <, >, = symbols to record the results of comparisons 5.NBT.2 5.NBT.5 SWBAT explain patterns in the number of zeros of the product ten multiplying a number by powers of ten and explain patterns in the placement of the decimal point when a decimal is multiplied or decided by a power of 10. Use whole number exponents to denote powers of 10. SWBAT fluently Multiply multi-digit whole numbers fractions that name tenths, hundredths, and thousandths as decimals. My Math Chapter 1 Lesson 5: Students will understand place value in decimal numbers. Lesson 6: Students will read and write decimals in standard form, expanded form and word form. My Math Chapter 1 Lesson 7: Students will compare decimals. Lesson 8: Students will order whole numbers and decimals. Lesson 9: Problem Solving Investigation- Use the 4 Step Plan Chapter 2, My Math Glossary Lesson 1: Students will find prime factorization of numbers. Lesson 2: Students will explore patterns in prime factorization. Lesson 3: Students will use powers and exponents in expressions. Lesson 4: Students will use basic facts and patterns to multiply multiples of 10, 100, and 1,000 mentally. Lesson 5: Problem Solving Investigation- Make a Table My Math Chapter 2 Lesson 6: Students will explore Review Reflect Chapter test/ Standardized test from Assessment Masters Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Review Reflect Game: Decimal War Graphic Novel: Greenhouse Shopping Spree! Problem-Solving Card: Continents Connected resources online Game: What s the Difference?
5.NBT.6 using the standard algorithm SWBAT find whole number quotients up to four-digit dividends & two digit divisors, using strategies based on place value, properties of operations, and/or the relationships between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. multiplication by using area models. Lesson 7: Students will use the Distributive Property to multiply mentally. Lesson 8: Students will estimate products by using rounding and compatible numbers. Lesson 9: Students will multiply up to a three-digit number by a one-digit number. Lesson 10: Students will multiply a three digit number by a two digit number. My Math Chapter 3 Lesson 1: Students will understand how division and multiplication are related. Lesson 2: Students will explore division using models. Lesson 3: Students will carry out division with and without remainders. Lesson 4: Students will use basic facts and patterns to divide multiples of 10, 100, and 1,000 mentally. Lessons 5: Students will estimate quotients by using rounding and compatible numbers Lesson 6: Students will explore division with greater numbers using models. Lesson 7: Students will divide using the Distributive Property and Partial Quotients. Chapter test/ Standardized test from Assessment Masters Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Review Reflect Chapter test/ Standardized test from Assessment Masters Benchmark Test Chapters 1-3 in Assessment Masters Graphic: Pizza Party! Activity Card: What Can You Buy? Problem-Solving Card: The Bone Bank Chapter 3: Connected resources online Graphic Novel: Man, Oh Manitee Activity Card: Way Down Upon the Suwanee River 4
5 Lesson 8: Students will divide up to a four digit number by a one digit. Lesson 9: Students will understand how to place the first digit in a quotient. Lesson 10: Students will solve division problems that will result in quotients that have zeros. Lesson 11: Students will explore how to interpret the remainder in a division problem. Lesson 12: Students will interpret the remainder in a division problem Lesson 13: Problem Solving Investigation: Determine Extra or Missing Investigation My Math Chapter 4 Lesson 1: Students will estimate quotients with two digit divisors. Lesson 2: Students will explore dividing by two-digit divisors using models. Lesson 3: Students will divide up to a three- digit number by a two- digit divisor. Lesson 4: Students will adjust the quotient when the estimated digit is too high or too low. Lesson 5: Students will divide greater numbers by multi digit divisors. Chapter 4: Game: Lowest Number Wins! Graphic Novel: A Big Book Problem Solving Card: The Statue of :Liberty
5.NBT.4 5.NBT.7 5.NBT.2 SWBAT use place value understanding to round decimals to any place Add, subtract, multiply and divide decimals to hundredths SWBAT 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. SWBAT explain patterns in the number of zeros of the Lesson 6: Problem Solving Investigation: Solve a Simpler Problem My Math Chapter 5 Glossary Lesson 1: Students will round decimals. Lesson 2: Students will estimate sums and differences by rounding. Lesson 3: Problem Solving Investigation Estimate or Exact Answer My Math Chapter 5 Lesson 4: Students will explore adding decimals using base ten blocks. Lesson 5: Students will explore adding decimals using models. Lesson 6: Students will add decimals. Lesson 7: Students will use the Associative, Commutative, and Identity Properties to add numbers mentally. Lesson 8: Students will explore subtracting decimals using base ten. Lesson 9: Students will explore subtracting decimals using models. Lesson 10: Students will subtract decimals. My Math Chapter 6 Glossary Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Review Reflect Chapter test/ Standardized test from Assessment Masters Am I Ready? My Math Words Connected resources online Game: Match Up Game: Find the Least Sum Graphic Novel: Ride Riddle Graphic Novel: Filling a Phone Activity Card: Music Counts Connected resources online 6
product ten multiplying a number by powers of ten and explain patterns in the placement of the decimal point when a decimal is multiplied or decided by a power of 10. Use whole number exponents to denote powers of 10. Lesson 6: Students will multiply decimals by powers of ten. Lesson 14: Students will divide decimals by powers of ten. My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Real World Problem Solving Reader: Into Uncharted Territory 5.NBT.4 5.NBT.5 5.NBT.6 7 SWBAT use place value understanding to round decimals to any place SWBAT fluently multiply multi-digit whole numbers using the standard algorithm SWBAT find Whole number quotients up to four-digit dividends & two digit divisors, using strategies based on place value, properties of operations, and/or the relationships between multiplication and division. Illustrate and explain the calculation by using equations, rectangular My Math Chapter 6 Lesson 1: Students will estimate products of whole numbers and decimals. Lesson 9: Students will estimate quotients of decimals and quotients. My Math Chapter 6 Lesson 8: Students will use the Associative, Commutative, and Identity Properties to multiply mentally. My Math Chapter 6 Lesson 9: Students will estimate quotients of decimals and whole numbers.
arrays, and/or area models. 5.NBT.7 SWBAT 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. My Math Chapter 6 Lesson 2: Students will explore multiplying decimals by whole numbers. Lesson 3: Students will multiply decimals by whole numbers. Lesson 4: Students will explore using decimal models to multiply. Lesson 5: Students will multiply decimals by decimals. Lesson 6: Students will multiply decimals by powers of 10. Lesson 7: Problem Solving Investigation- Look for a Pattern Lesson 8: Students will use the Associative, Commutative, and Identity Properties to multiply mentally. after lesson 9 Lesson 10: Students will explore dividing decimals by whole numbers Lesson 11: Students will divide decimals by whole numbers Lesson 12: Students will explore using models to divide decimals by decimals. Lesson 13: Students will divide decimals by decimals. Review Reflect Chapter test/ Standardized test from Assessment Masters Game: Estimation Roll Off Graphic Novel: Mowing Money Real World Problem Solving Reader: Early American Settlements Activity card: Decimal Fairy Tales 8
9 Content Area: Mathematics Grade: 5 UNIT 2 Domain: Operations and Algebraic Thinking Month: January Essential Question: How are patterns used to solve problems? (Chapter 7)
Standard Number 5.OA.1 5.OA.2 5.OA.3 5.G.1 and 5.G.2 10 Topic Resources Additional Materials and My Learning Stations My Math Chapter 7 Am I Ready? Connected resources Glossary My Math Words online Lesson 1: Students will write and My Vocabulary evaluate numerical expressions. My Foldable Game: Expression Race Lesson 2: Students will use the *Problem of the Day for order of operations to evaluate the each lesson expression. *Reteach and Lesson 4: Problem Solving Enrichment as needed Investigation- Working backwards. SWBAT use parenthesis and brackets in numerical expressions, and evaluate expressions with these symbols. SWBAT write simple expressions that record calculation with numbers, and interpret numerical expressions without evaluating them. SWBAT 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. SWBAT 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 Lesson 3: Students will use numbers and operation symbols to write verbal phrases as numerical expressions. after lessons 1-4 Lesson 5: Students will generate numerical patterns and identify numerical relationships. Lesson 6: Students will identify and extend patterns and sequences. Chapter 7 also addresses these geometric standards. Lesson 7: Students will plot points on a grid to solve real world problems. Lesson 8: Students will graph points Review Reflect Chapter test/ Standardized test from Assessment Masters Game: Where s My Line? Activity Card: Mystery Story Problem Solving Card:
with the 0 on each line and a given point on a coordinate plane to solve real world and mathematical problems. Lesson 9: Students will graph ordered pairs on a coordinate plane to solve problems involving two numerical patterns. What s Your Latitude? Real World Problem Solving Reader: Inside a Science Museum. 11
Content Area: Mathematics Grade: 5 Domain: Fractions and Decimals UNIT 3 Month: February -March Chapters 8-10 Essential Question: How are factors and multiples helpful in solving problems? (Chapter 8) Essential Question: How can equivalent fractions help me add and subtract fractions? (Chapter 9) Essential Question: What strategies can be used to multiply and divide fractions? (Chapter 10) Standard Number 5.NF.3 Topic Resources Suggested Activities Additional Materials and My Learning Stations My Math Chapter 8 Connected resources online Glossary Lesson 1: Students will solve word problems by interpreting a fraction Rational Number Project as division of the numerator by the (Fraction Circles) denominator. Interpret a fraction as division of the numerator by the denominator. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day *Reteach and Enrichment as needed 12
5.NF.2 Solve word problems involving addition and subtraction of fractions, referring to the same whole, including cases of unlike denominators using visual fraction models or equivalents). Use benchmark fractions and number sense to estimate mentally and assess reasonableness My Math Chapter 8 Lesson 2: Students will determine the common factors and the greatest common factor of a set of numbers. Lesson 5: Students will determine the common multiples and the least common multiples of a set of numbers. Graphic Novel: Sandwich Slice Sizes! Real World Problem Solving Reader: Life in Colonial America Activity Card: Preparing for a Party 5.NF.5 SWBAT multiply a given number by a fraction less than 1 results in a product smaller than the given number (interpret multiplication as scaling or resizing). My Math Chapter 8 Lesson 3: Students will generate equivalent fractions by writing a fraction in simplest form. after lesson 3 5.NF.5b SWBAT explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number; explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; relating the principal of fraction equivalence ( see ted) My Math Chapter 8 Lesson 6: Students will compare fractions by using the least common denominator. Lesson 7: Students will explore how to use models and fractions equivalents to write fractions as decimals. Lesson 8: Students will use fraction equivalents to write fractions as decimals. Review Reflect Chapter test/ Standardized test from Assessment Masters Fraction Decimal Equivalence Chart Real World Problem Solving Reader: A Growing Nation 13
5.NBT.5 SWBAT fluently multiply multi digit whole numbers using the standard algorithm. 5.NF.2 5.NF.1 SWBAT solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. SWBAT add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators My Math Chapter 8 Lesson 4: Problem Solving Strategy- Guess, Check, and Revise. My Math Chapter 9 Glossary Lesson 1: Students will use number lines and benchmark fractions such as ½ to round fractions. Lesson 2: Students will add like fractions and solve word problems involving the addition of like fractions. Lesson 3: Students will subtract like fractions and solve word problems involving the subtraction of like fractions. Lesson 4: Students will use models to add unlike fractions. Lesson 5: Students will add unlike fractions and solve word problems involving the addition of unlike fractions. Lesson 6: Students will use models to subtract unlike fractions. Lesson 7: Students will subtract unlike fractions and solve word problems involving the subtraction of unlike fractions. Lesson 8: Problem Solving Investigation- Determine Reasonable Answers. Lesson 9: Students will use number Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day *Reteach and Enrichment as needed Connected resources online Game: Fraction Subtraction 14
sense and benchmark fractions to estimate sums and differences. Lesson 10: Students will explore adding mixed numbers using models. Lesson 11: Students will add mixed numbers and solve word problems involving the addition of mixed numbers. Lesson 12: Students will subtract mixed numbers and solve word problems involving the subtraction of mixed problems. Lesson 13: Students will use fraction equivalents to subtract with renaming. Review Reflect Chapter test/ Standardized test from Assessment Masters Problem Solving Card: Making Mixtures Graphic Novel: Happy Trails Real World Problem Solving Reader: Life in Colonial America 15
5.NF.4 5.NF.4a 5.NF.4b 5.NF.5 SWBAT apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. SWBAT interpret the product a/b x q as a parts of a partition of q into b equal parts, as the result of a sequence of a x q / b. SWBAT find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Multiplying a given number by a fraction less than 1 results in a product smaller than the given number (Interpret multiplication as scaling or resizing) SWBAT interpret multiplication as scaling (resizing) by: My Math Chapter 10 Glossary Lesson 1: Students will explore how to find part of a number. Lesson 2: Students will estimate products of fractions using compatible numbers and rounding. Lesson 3: Students will explore multiplying whole numbers and fractions using models. Lesson 4: Students will multiply whole numbers and fractions. Lesson 5: Students will explore using models to multiply a fraction by a fraction. My Math Chapter 10 Lesson 6: Students get to multiply fractions. Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day *Reteach and Enrichment as needed Connected resources online Real World Problem Solving Reader: Water Works Real World Problem Solving Reader: Nature s Delicate Balance. Activity Card: All About Me 16
5.NF.5a 5.NF.5b 5.NF.6 SWBAT compare the size of a product to the size on one factor on the basis of the size of the other factor, without performing the indicated multiplication. SWBAT explain why multiplying a given number by a fraction greater than 1 result in a product greater than the given number. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Relate the principal of fraction equivalence ( see ted) SWBAT solve real world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problems. My Math Chapter 10 Lesson 8: Students will interpret multiplication of fractions as scaling. after lessons 1-8. My Math Chapter 10 Lesson 6: Students get to multiply fractions. My Math Chapter 10 Lesson 2: Students will estimate products of fractions using compatible numbers and rounding. Lesson 4: Students will multiply whole numbers and fractions. Lesson 6: Students get to multiply fractions. Lesson 7: Students will multiply mixed numbers. 17
5.NF.7 5.NF.7a 5.NF.7b 5.NF.7c SWBAT apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. SWBAT interpret division of a unit fraction by a non-zero whole number, and compute such quotients. SWBAT interpret division of a whole number by a unit fraction, and compute such quotients. SWBAT solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem. My Math Chapter 10 Lesson 9: Students will divide whole numbers by unit fractions using models. Lesson 10: Students will use bar diagrams to divide whole numbers by unit fractions. Lesson 11: Students will use bar diagrams to divide unit fractions by whole numbers. Lesson 12: Problem Solving Investigation- Draw a Diagram. Review Reflect Chapter test/ Standardized test from Assessment Masters 18
Standard Number 5.MD.1 19 Content Area: Mathematics Grade: 5 Domain: Measurement and Data Month: April UNIT 4 Chapter 11 Essential Question: How can I use measurement conversions to solve real-world problems? Essential Question: How does geometry help solve problems in everyday life? Topic Resources Suggested Activities Additional Materials and My Learning Stations SWBAT convert among My Math Chapter 11 Am I Ready? Connected resources online different sized standard Lesson 1: Students will measure My Math Words measurement units within a length to the nearest half inch and My Vocabulary given measurement system quarter inch. My Foldable Balances (example convert 5 cm to Lesson 2: Students will convert *Problem of the Day 0.05 m) and use these measurements of length within the Real World Problem Solving conversions in multi-step, customary system *Reteach and Reader: City Planning real world problems. Lesson 3: Problem Solving Enrichment as needed Investigation- Use Logical Reasoning. Real World Problem Solving Lesson 4: Students will estimate the Reader: The Shifting Nature weight of objects and use a balance of Weather to measure the weight of objects. Lesson 5: Students will convert measurements of weight within the customary system. Problem-Solving Card: Soccer Rules! Lesson 6: Students will estimate and measure the capacity of liquids.
Lesson 7: Students will convert measurements of capacity within the customary system. Lesson 9: Measure the length of objects to the nearest centimeter and millimeter. Lesson 10: Students will convert measurements of length within the metric system. Lesson 11: Students will estimate the mass of objects and use a balance. Lesson 12: Students will convert measurements of mass within the metric system. Lesson 13: Students will convert measurements of capacity within the metric system. Review Reflect Chapter test/ Standardized test from Assessment Masters Real World Problem Solving Reader: Taking to the Skies Problem Solving Card: The Wright Measurements Real World Problem Solving Reader: How Big is the Solar System Game: Metric Pairs 5.MD.2 SWBAT make a line plot to display a data set of measurement in fractions of a unit. Use operations on fractions for this grade to solve problems involving information presented in line plots. My Math Chapter 11 Lesson 8: Students will display measurement data in fractions of a unit on a line plot and solve real world problems. 20
Content Area: Mathematics Grade: 5 Domain: Geometry Month: May-June UNIT 5 Chapter 12 Essential question: how does geometry help me solve problems in everyday life? 5.G.3 21 SWBAT understand that attributes belonging to a category of two dimensional figures also belong to all subcategories of that category. My Math Chapter 12 Glossary Lesson 1: Students will classify two dimensional figures based on properties. Lesson 2: Students measure the sides and angles of triangles. Lesson 3: Students will classify triangles based on attributes such as side measures and angle measures. Am I Ready? My Math Words My Vocabulary My Foldable *Problem of the Day for each lesson *Reteach and Enrichment as needed Connected resources online for each lesson
5.G.4 SWBAT classify two dimensional figures in a hierarchy based on properties. Lesson 6: Students will build nets and explore properties of three dimensional figures. Lesson 7: Students will describe properties of three dimensional figures. My Math Chapter 12 Lesson 4: Students will measure the sides and angles of quadrilaterals Lesson 5: Students will classify quadrilaterals based on attributes, such as congruent sides, parallel sides, and right angles. Lesson 8: Students will use models to find the volume of rectangular prisms. Activity Card: 3-D Constructions Real World Problem Solving Reader: Flags: Shaping History. 22
5.MD.3 5.MD.3a 5.MD.3b 5.MD.4 5.MD.5 5.MD.5a SWBAT recognize volume as an attribute of solid figures and understand concepts of volume measurement SWBAT recognize that cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. SWBAT recognize that a solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. SWBAT measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. SWBAT relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. SWBAT 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 would be found by multiplying the edge lengths, equivalently by My Math Chapter 12 Lesson 9: Students will use volume formulas to find the volume of rectangular prisms. Lesson 10: Students will use models to build composite figures and find the volume of composite figures. Lesson 11: Students will find the volume of composite figures by relating volume to the operations of multiplication and addition. Lesson 12: Problem Solving Investigation- Make a Model. Review Reflect Chapter test/ Standardized test from Assessment Masters Graphic Novel: A Carrier for Kitty Problem-Solving Card: Birdseye View Real World Problem Solving Reader: Exploring the World by Sea. 23
5.MD.5b 5.MD.5c multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. SWBAT apply the formulas V = l w h and V = b h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. SWBAT recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the nonoverlapping parts, applying this technique to solve real world problems. Created by Krystal Jenssen, Christine McGrath, Paulina Rapciewicz December 2014 24
Teacher Reflections Unit 1 Teacher Reflections Unit 2 Teacher Reflections Unit 3 Teacher Reflections Unit 4 Teacher Reflections Unit 5 25