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Grade__6__ Math Curriculum Map Standard 6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4(9+2). Weeks _24-30 Algebraic Reasoning_ Progression Lessons Fading Learning Targets: I can determine the Greatest Common Factor of two whole numbers less than or equal to 100. Learning Activity: Math Connects PP. 197-201 I can determine the Least Common Multiple of two whole numbers less than or equal to 12. Learning Activity: Math Connects 216-219 I can apply the Distributive Property to rewrite addition problems by factoring out the Greatest Common Factor of two whole numbers 1-100 and multiplying the Greatest Common Factor by the sum of the two remaining factors. Learning Activity: http://www.internet4classrooms.com/ *Factoring out the GCF is not in Math Connects. Use the Distributive Property to Factor Polynomials Teacher-made materials 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. 6.EE.2a Write expressions that record New Fading Learning Targets: · I can write algebraic expressions, with numbers and letters standing for Grade__6__ Math Curriculum Map operations with numbers and with letters standing for numbers. For example, express the calculation "subtract y from 5" as 5 - y. 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. 6.EE.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. numbers. Learning Activity: Math Connects: pp. 42-53, 636-660 New Fading Learning Targets: · I can identify parts of an expression using mathematical terms. · Learning Activity: Laying the Foundation: Module 8 – Arithmetic Sequences Math Connects: p. 57, p. 637(like terms) p.657(coefficient) I can identify parts of an expression as a single entity. Learning Activity: Math Connects: pp. 630-635, 638, 663-664 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers . 6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For New Learning Targets: I can evaluate specific values for variables in real-world problems. Learning Activity: Math Connects: pp. 42-51, 158-159, 343, 164-165, 170-171, 265-266, 283285, 288-289, 299-300 http://www.internet4classrooms.com/ Grade__6__ Math Curriculum Map example, use the formulas V=s³ and A= 6s² to find the volume and surface area of a cube with sides of length s=1/2. I can apply order of operations when there are no parentheses, for expressions that include whole number exponents. Learning Activity: Math Connects: pp. 37-40, 43-46 I can evaluate expressions that arise from formulas in real-world problems. 6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. New Fading 6.EE.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands New Fading Learning Activity: Math Connects: pp. 61-62, Chapter 10 lessons Learning Targets: I can apply the properties of operations to generate equivalent expressions. Learning Activity: In simplifying algebraic expressions Math Connects pp. 636-641. In solving equations Math Connects: pp. 642-659. *No lessons on factoring out GCF Learning Targets: I can identify, using various strategies, that two expressions are equivalent. Learning Activity: http://www.internet4classrooms.com/ Grade__6__ Math Curriculum Map for. 6.EE.6 Use variables to represent numbers and write expressions when solving a realworld or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. *No lesson in Math Connects on this skill Teacher-made materials New Fading Learning Targets: I can recognize that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. Learning Activity: Math Connects: pp. 42-53 I can write expressions with numbers and variables when solving a realworld or mathematical problem. Learning Activity: Math Connects: Chapter 10 http://www.internet4classrooms.com/ 6.EE.7 Solve real-world or mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative numbers. 6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write New Fading New Fading Learning Targets: I can write and solve equations for real-world or mathematical problems containing one unknown in which all parts of the equation are nonnegative numbers. Learning Activity: Math Connects: Chapter 10 http://www.internet4classrooms.com/ Learning Targets: · I can use variables to represent two quantities in a real-world problem that Grade__6__ Math Curriculum Map an equation to express one quantity, thought of as the dependent variable, in terms of other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time. change in relationship to one another. Learning Activity: Math Connects: pp. 49-53, 343-355 Laying the Foundation: Module 9 – Box it Up http://www.internet4classrooms.com/ · I can write an equation to express one quantity (dependent variable) in terms of the other quantity (independent variable). Learning Activity: Math Connects: pp. 49-53, 343-355 http://www.internet4classrooms.com/ · I can analyze the relationship between the dependent variable and independent variable using tables and graphs as they relate to equations. Learning Activity: Math Connects: pp. 49-53, 343-355 6.EE.8 Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. New Fading Learning Targets: · I can recognize that inequalities of the form x > c or x < c have infinitely many solutions. · Learning Activity: *Not a lesson in Math Connects Grade__6__ Math Curriculum Map http://www.internet4classrooms.com/ Teacher-made materials I can write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. · Learning Activity: *Not a lesson in Math Connects http://www.internet4classrooms.com/ Teacher-made materials I can represent solutions to inequalities or the form x > c or x < c, with infinitely many solutions, on number line diagrams. 6.EE.5 Understand solving an equation or inequality as a process of answering a question; which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. New Fading Learning Activity: *Not a lesson in Math Connects http://www.internet4classrooms.com/ Teacher-made materials Learning Targets: I can recognize solving an equation or inequality as a process of answering a question. Learning Activity: Math Connects: Equations pp. 57-60 Inequalities pp. 655 http://www.internet4classrooms.com/ I can show that the solutions set of an equation or inequality are the values that make the equation or inequality Grade__6__ Math Curriculum Map true. Learning Activity: http://www.internet4classrooms.com/ *Not a lesson in Math Connects Teacher-made materials I can use substitution to determine whether a given number in a specified set makes an equation or inequality true. Learning Activity: Math Connects: Equations pp. 57-60 Inequalities pp. 655 Teacher Made Materials