Alaska Mathematics Standards Grade 8 Grade Level/Course 8 Domain Expressions and Equations Cluster Work with radicals and integer exponents. Standard 8.EE.1 Apply the properties (product, quotient, power, zero, negative exponents, and rational exponents) of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Explain the properties of integer exponents to generate equivalent numerical expressions. For example, 3² x 3-5= 3-3= 1/33= 1/27. Apply the properties of integer exponents to produce equivalent numerical expressions.
Alaska Mathematics Standards Grade 8 Grade Level/Course 8 Domain Expressions and Equations Cluster Work with radicals and integer exponents. Standard 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both standard notation and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Perform operations using numbers expressed in scientific notations. Use scientific notation to express very large and very small quantities. Interpret scientific notation that has been generated by technology. Choose appropriate units of measure when using scientific notation.
Alaska Mathematics Standards Grade 8 Grade Level/Course 8 Domain Geometry Cluster Understand congruence and similarity using physical models, transparencies, or geometry software. Standard 8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Define dilations as a reduction or enlargement of a figure. Identify scale factor of the dilation. Describe the effects of dilations, translations, rotations, & reflections on 2-D figures using coordinates.
Alaska Mathematics Standards Grade 8 Grade Level/Course 8 Domain Geometry Cluster Understand congruence and similarity using physical models, transparencies, or geometry software. Standard 8.G.4 Demonstrate understanding of similarity, by applying a sequence of translations, reflections, rotations, and dilations on two-dimensional figures. Describe a sequence that exhibits the similarity between them. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Define similar figures as corresponding angles are congruent and corresponding sides are proportional. Recognize symbol for similar. Apply the concept of similarity to write similarity statements. Reason that a 2-D figure is similar to another if the second can be obtained by a sequence of rotations, reflections, translation, or dilation. Describe the sequence of rotations, reflections, translations, or dilations that exhibits the similarity between figures using words and/or symbols.
Alaska Mathematics Standards Grade 8 Grade Level/Course 8 Domain Functions Cluster Define, evaluate, and compare functions. Standard 8.F.1 Understand that a function is a rule that assigns to each input (the domain) exactly one output (the range). The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. For example, use the vertical line test to determine functions and non-functions. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Define “inspection”. Identify cases in which a system of two equations in two unknowns has no solution. Identify cases in which a system of two equations in two unknowns has an infinite number of solutions. Solve a system of two equations (linear) in two unknowns algebraically. Solve simple cases of systems of two linear equations in two variables by inspection.