Work with radicals and integer exponents. D-8.EE.1 Know properties of to generate Comprehension Expand exponential notation to illustrate-eg.in Know and apply the properties of integer exponents equivalent the problem given in the standard write as: integer exponents to generate Apply numerical Apply canceling 3’s top and bottom we get equivalent numerical expressions. For to generate expressions example, 32 × 3–5 = 3–3 = 1/33 = equivalent 1/27. numerical to generate expressions equivalent numerical expressions D-8.EE.2 Use square root and of the form x2 Apply Work with area of square and volume of cube to Use square root and cube root cube root symbols = p and x3 = p, illustrate that the area is a side squared and the symbols to represent solutions to Evaluate to represent where p is a Apply square root of the area is the length of a side. equations of the form x2 = p and x3 = solutions to positive Also, that the volume of a cube is an edge length p, where p is a positive rational Know equations rational Comprehension cubed and the cube root of the volume is the number. Evaluate square roots of number. measure of an edge. Square landscaping areas small perfect squares and cube roots square roots of or rooms needing flooring are illustrative, also of small perfect cubes. Know that √2 small perfect boxes in the shapes of cubes to determine how is irrational. squares and cube much can be packed (volume) or how big a box roots needs to be for a certain volume to be packed (cube root of volume). that √2 is irrational. 1 2 3 4 5 6 Standards Skills Included Concepts Included Through a Cognitive Sample Activity in Standard in Standard Particular Demand/ Context Levels of Thinking D-8.EE.3 Use Numbers in the form of a Apply Work with populations or areas of cities, Use numbers expressed in the form of a single digit times counties, states or countries to determine single digit times an integer power of 10 an integer power how much bigger California’s population is
Work with radicals and integer exponents. D-8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27. Know Apply properties of integer exponents to generate equivalent numerical expressions to generate equivalent numerical expressions to generate equivalent numerical expressions Comprehension Apply Expand exponential notation to illustrate-eg.in the problem given in the standard write as: canceling 3’s top and bottom we get D-8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. Use Evaluate Know square root and cube root symbols to represent solutions to equations square roots of small perfect squares and cube roots that √2 is irrational. of the form x2 = p and x3 = p, where p is a positive rational number. Apply Apply Comprehension Work with area of square and volume of cube to illustrate that the area is a side squared and the square root of the area is the length of a side. Also, that the volume of a cube is an edge length cubed and the cube root of the volume is the measure of an edge. Square landscaping areas or rooms needing flooring are illustrative, also boxes in the shapes of cubes to determine how much can be packed (volume) or how big a box needs to be for a certain volume to be packed (cube root of volume). 1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity D-8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 Use Numbers in the form of a single digit times an integer power Apply Work with populations or areas of cities, counties, states or countries to determine how much bigger California’s population is