Lesson 2 3 Applying Integer Operations
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1 Lesson 2 3 Applying Integer Operations EQ: How can you use integer operations to solve real world problems? 1
2 Unit Scale: Through independent work beyond what was taught in class, students could (examples include, but are not limited to): demonstrate and justify finding the average of the lowest temperatures during the month of January in Canada to properly pack for their vacation. develop their own solution using appropriate, precise, and mathematical language that includes the four integer mathematical operations with accuracy to a problem in their life. The students will: apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as ( 1)( 1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real world contexts. b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non zero divisor) is a rational number. If p and q are integers, then (p/q)=( p)/q=p/( q). Interpret quotients of rational numbers by describing real world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division. solve real world and mathematical problems involving the four operations with rational numbers. The students will: determine the meaning of symbols, key terms, and other number system specific words and phrases as they are used in a specific technical context relevant to grades 6 8 texts and topics (see Academic Vocabulary below). comprehend multiplication and division with whole numbers. understand plotting points on a vertical number line. understand the concepts of positive and negative. apply repeated addition and repeated subtraction to determine the product and quotient of mixed signed integers. measure distance of two numbers on the number line. calculate with division of whole numbers. understand conversion of fractions. apply the order operations with precision. translate written expression into numerical expressions. recognize integers 1.0 With help, the students will have partial success at level 2.0 and level 3.0 content and recognition of academic vocabulary (see below). 2
3 3
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6 Your Turn 6
7 Answers: Will 7
8 Unit Scale: Through independent work beyond what was taught in class, students could (examples include, but are not limited to): demonstrate and justify finding the average of the lowest temperatures during the month of January in Canada to properly pack for their vacation. develop their own solution using appropriate, precise, and mathematical language that includes the four integer mathematical operations with accuracy to a problem in their life. The students will: apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as ( 1)( 1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real world contexts. b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non zero divisor) is a rational number. If p and q are integers, then (p/q)=( p)/q=p/( q). Interpret quotients of rational numbers by describing real world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division. solve real world and mathematical problems involving the four operations with rational numbers. The students will: determine the meaning of symbols, key terms, and other number system specific words and phrases as they are used in a specific technical context relevant to grades 6 8 texts and topics (see Academic Vocabulary below). comprehend multiplication and division with whole numbers. understand plotting points on a vertical number line. understand the concepts of positive and negative. apply repeated addition and repeated subtraction to determine the product and quotient of mixed signed integers. measure distance of two numbers on the number line. calculate with division of whole numbers. understand conversion of fractions. apply the order operations with precision. translate written expression into numerical expressions. recognize integers 1.0 With help, the students will have partial success at level 2.0 and level 3.0 content and recognition of academic vocabulary (see below). 8
9 Guided Practice Pg. 52 9
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