rational numbers is rational; that the sum numbers. Glencoe integers, irrational numbers, real numbers, of a rational number and an irrational inequality Expressions can be written in 0-2 Real Numbers number is irrational; and that the product multiple ways using algebra. 1-3 Properties of Numbers of a nonzero rational number and an Writing in Math 1-4 The Distributive Property irrational number is irrational. Essential Question(s) Tell whether and are rational or √100 √0.29 irrational. Explain. How can you represent quantities, Use the following resources to ensure that Domain: Seeing Structure in Expressions patterns, and relationships? the intended outcome and level of rigor of Cluster: Interpret the structure of expressions Why structure expressions in different the standards are met. A friend has asked you to explain commutative Choose and produce an equivalent form ways? properties to him. After you explain the Task(s) of an expression to reveal and explain commutative properties for addition and How are properties related to algebra? properties of the quantity represented by multiplication, he asks you about commutative the expression.★ properties for subtraction and division. Use Objective(s): Sorting Equations and Identities (MARS) examples to show that the operations of subtraction and division are not commutative. Students will classify, graph and compare real numbers. Additional Resource(s) Students will explain the outcomes of operations of rational and irrational numbers. Ordering positive and negative fractions Students will interpret the structure of Video expressions Classifying numbers Video Simplifying square roots of rational numbers Video Estimating square of rational numbers Video Enduring Understanding(s): Pearson Vocabulary Create equations Domain: Different of relationships between 2-1 Solving One-Step Equations Equivalent equations, Addition Property of Cluster: Create equations that describe quantities can be modeled with different Equality, Subtraction Property of Equality, numbers or relationships 2-2 Solving Two-Step Equations types of functions. isolate, inverse operations, Multiplication Create equations and inequalities in one 2-3 Solving Multi-Step Equations Property of Equality, Division Property of Graphs are visual representations of variable and use them to problems. 2-4 Solving Equations With Variables on Both Equality, identity, literal equation, formula solution sets of equations and inequalities. Include equations arising from linear and Sides quadratic functions, and simple rational 2-5 Literal Equations & Formulas
rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Domain: Seeing Structure in Expressions Cluster: Interpret the structure of expressions Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ numbers. Expressions can be written in multiple ways using algebra. Essential Question(s) How can you represent quantities, patterns, and relationships? Why structure expressions in different ways? How are properties related to algebra? Objective(s): Students will classify, graph and compare real numbers. Students will explain the outcomes of operations of rational and irrational numbers. Students will interpret the structure of expressions Glencoe 0-2 Real Numbers 1-3 Properties of Numbers 1-4 The Distributive Property Use the following resources to ensure that the intended outcome and level of rigor of the standards are met. Task(s) Sorting Equations and Identities (MARS) Additional Resource(s) Ordering positive and negative fractions Video Classifying numbers Video Simplifying square roots of rational numbers Video Estimating square of rational numbers Video integers, irrational numbers, real numbers, inequality Writing in Math Tell whether √100 and √0.29 are rational or irrational. Explain. A friend has asked you to explain commutative properties to him. After you explain the commutative properties for addition and multiplication, he asks you about commutative properties for subtraction and division. Use examples to show that the operations of subtraction and division are not commutative. Domain: Create equations Cluster: Create equations that describe numbers or relationships Create equations and inequalities in one variable and use them to problems. Include equations arising from linear and quadratic functions, and simple rational Enduring Understanding(s): Different of relationships between quantities can be modeled with different types of functions. Graphs are visual representations of solution sets of equations and inequalities. Pearson 2-1 Solving One-Step Equations 2-2 Solving Two-Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations With Variables on Both Sides 2-5 Literal Equations & Formulas Vocabulary Equivalent equations, Addition Property of Equality, Subtraction Property of Equality, isolate, inverse operations, Multiplication Property of Equality, Division Property of Equality, identity, literal equation, formula
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