advertisement

MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 Unit Description Unit 7 Algebraic Expressions Suggested Length: 2 weeks Big Idea(s) Enduring Understanding Develop fluency with whole number operations and reasonable estimates What enduring understanding s are essential Enduring Skills Rubric measures competency of the following skills: for Fluently multiply and divide by 10 and powers of 10 application to Fluently multiply multi digit whole numbers with the standard new situations algorithm within or Accurately divides 4 digit dividends by 2 digit divisors using any beyond this strategy. content? Essential What can affect the relationship between numbers. In what order must operations be evaluated to find the correct Question(s) solution to a problem? What questions will provoke and sustain student engagement while focusing learning? Standards Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. Students solve problems by applying their understanding of operations with whole numbers, including the order of operations. Students seek the meaning of a problem and look for efficient ways to solve it. 2. Reason abstractly and quantitatively. Students demonstrate abstract reasoning to connect quantities to written symbols and create a logical representation of the problem at hand. Students write simple expressions that record calculations with numbers and represent numbers using place value concepts. 3. Construct viable arguments and critique the reasoning of others. Students construct arguments using concrete referents, such as 1 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 4. 5. 6. 7. 8. objects, pictures, and drawings. They explain calculations based upon models and properties of operations and rules that generate patterns. They explain their thinking to others and respond to others’ thinking. Model with mathematics. Students use base ten blocks, drawings, and equations to represent place value and powers of ten. They interpret expressions and connect them to representations. Use appropriate tools strategically. Students select and use tools such as estimation, graph paper, and place value charts to solve problems including order of operations. Attend to precision. Students use clear and precise language (math talk) in their discussions with others and in their own reasoning. Students use appropriate terminology when referring to expressions and order of operations. Look for and make use of structure. Students use properties of operations as strategies to add, subtract, multiply, and divide with whole numbers. They explore and use patterns to evaluate expressions. Students utilize patterns in place value and powers of ten and relate them to graphical representations of them. Look for and express regularity in repeated reasoning. Students use repeated reasoning to understand algorithms and make generalizations about patterns. Students connect place value and properties of operations to fluently perform operations. Standards for Mathematical Content 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 5.OA.3 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. For example, given the rule “Add 3” and the starting number 0, and 2 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 Supporting Standard(s) Which related standards will be incorporated to support and enhance the enduring standards? given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. 5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and ycoordinate). 5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Instructional Outcomes What must students learn and be able to by the end of the unit to demonstrate mastery? I am learning to… I can use parentheses, brackets or braces to group an expression within a multi-step numerical expression. I can represent a calculation expressed verbally with a numerical expression. I can analyze expressions without solving. I can generate two numerical patterns with the same starting number for two given rules. I can explain the relationship between the numerical patterns by comparing how each pattern grows or by comparing the relationship between each of the corresponding terms from each pattern. I can form ordered pairs out of corresponding terms from each pattern and graph them on a coordinate plane. Vocabulary What vocabulary Essential Vocabulary Braces Brackets Coordinate plane 3 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 must students know to understand and communicate effectively about this content? Resources & Activities What resources could we use to best teach this unit? Corresponding terms Difference Expression Numerical expression Numerical patterns Operation Order of operation Ordered pairs Parenthesis Pattern PEMDAS Product Quotient Sum Symbol x-axis y-axis Supporting Vocabulary Double Function table Half Less than More than Variable Stepping Stones (www.origoeducation.com) 5.OA.1 o Module4 : Lesson 9-12 5.OA.2 o Module 4: Lesson 10-12 5.OA.3 o Module 7: Lesson 9-12 Engage NY (https://www.engageny.org/resource/grade-5-mathematics) 5.OA.1 o o Module2 : Topics B, C Module 4: Topics D, G, H 4 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 5.OA.2 o o o Module 2: Topics B, C Module 4: Topics D, H Module 6: Topic B o Module 6: Topics B, D 5.OA.3 Howard County Website (https://grade5commoncoremath.wikispaces.hcpss.org/home) K-5 Math Teaching Resources 5.OA.1 o http://www.k-5mathteachingresources.com/support-files/targetnumber-dash.pdf o http://www.k-5mathteachingresources.com/supportfiles/numerical-expressions-clock.pdf 5.OA.2 o http://www.k-5mathteachingresources.com/supportfiles/equation-match.pdf o http://www.k-5mathteachingresources.com/supportfiles/addition-on-the-coordinate-plane.pdf http://www.k-5mathteachingresources.com/supportfiles/subtraction-on-the-coordinate-plane.pdf http://www.k-5mathteachingresources.com/supportfiles/whats-the-pattern.pdf http://www.k-5mathteachingresources.com/supportfiles/comic-books-for-sale.pdf 5.OA.3 o o o Common Core Sheets o http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5 oa1 o http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5 oa2 o http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5 oa3 5 MADISON COUNTY PUBLIC SCHOOLS District Curriculum Map for Mathematics: Grade 5 Unit 7 Teachers Pay Teachers Order of Operations Test 1 (TPT $1.50): o https://www.teacherspayteachers.com/Product/Order-ofOperations-Tests-Level-1-83415 Order of Operations Test Level 2 (TPT $1.50): o https://www.teacherspayteachers.com/Product/Order-ofOperations-Tests-Level-2-83509 Common Core Assessment Pack-Common Core Grade 5 (TPT $12.50): o https://www.teacherspayteachers.com/Product/Common-CoreAssessment-Pack-Math-Grade-5-411127 Mastering the Grade 5 K-PREP in Mathematics (American Book Company 2013) Illustrative Mathematics o https://www.illustrativemathematics.org/content-standards/5 Illuminations o http://illuminations.nctm.org/Search.aspx?view=search&cc=2014_20 24 Remember there are other sources in your school that may not be listed on this common resources list due to variation in each individual school. Examples of other great resources your school may have access to include: Everyday Math Games, Investigations, Everyday Partner Games, AVMR file folders, Ongoing Assessment Project, etc. 6