Homework: maintenance sheet 1-11 & Study for comprehensive test #3 Writing About Math: Fill in as much information that you can about the diagram below. Use complete sentences to explain the relationship between the angles and show your work to “prove” your answer.

Common Core Standards MCC8.EE.2 Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. MCC8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number MCC8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations

Can you? I can find square roots and cube roots of perfect squares and perfect cube. I can understand why it is useful for me to know the square and cube root of a number. I can explain the difference between a rational and an irrational number. I can convert either repeating or terminating decimals into a fraction. I can write a decimal approximation for an irrational number to a given decimal place. I can place rational and irrational numbers on a number line. I can estimate the value of an expression that includes an irrational number and justify my estimation.

Mathematical Process Standards 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

Comparing Real Numbers Sort the following real numbers from least to greatest Then determine if each real number is rational or irrational

Work Session Square Root Activity Real Number State Task 14-16 Independent square root activity, Resources: use square tiles if needed Interactive notebook Definition Perfect squares and perfect cubes Real Number State Task 14-16

Summarizing/TOD: Find Someone Who 1-4