AK-DLM ESSENTIAL ELEMENTS AND COMPLEXITY EXAMPLES FOR EIGHTH Eighth Grade Mathematics Standards: The Number System AK Clusters AK-DLM Instructional Examples Essential Elements EE8.NS.1. Subtract Students will: Know that are fractions with like EE8.NS.1. Subtract fractions with like denominators (halves, thirds, numbers that are not denominators (halves, fourths, and tenths) with minuends that may be greater than one. rational, and approximate thirds, fourths, and tenths) Ex. Subtract two fractions with like denominators with models or numbers. them by rational numbers. with minuends less than or Ex. If I have 1 3/4 and I take 1/4 away, how many wholes and fourths are 8.NS.1. Know that numbers equal to one. Students will: that are not rational are EE8.NS.1. Subtract fractions with like denominators (halves, thirds, called irrational. fourths, and tenths) with minuends less than or to one. Understand informally that Ex. Use fraction bars or fraction circles to add and match a numerical every number has a representation to the model so the answer is less than or equal to one. decimal expansion; for Ex. Given 3/4, take 1/4 away and tell or show how many fourths are left. Ex. 7/10, recognize that 3/10 are needed to make a whole. (Connect rational numbers, show to money 10 dimes = one whole dollar.) that the decimal expansion – repeats eventually, and convert a decimal Students will: expansion repeats EE8.NS.1. Use models to subtract halves, thirds, and fourths. eventually into a rational Ex. a whole divided into thirds, tell how many times they can take a number. third out of the whole. Ex. Presented a rectangle with 1/3 of the shaded, tell how many left? thirds are left. Students will: EE8.NS.1. Use models to identify the whole and find the missing pieces of a whole using halves. Ex. Presented an object with a piece missing and a whole object, identify
AK-DLM ESSENTIAL ELEMENTS AND COMPLEXITY EXAMPLES FOR EIGHTH Eighth Grade Mathematics Standards: The Number System AK Clusters AK-DLM Essential Elements Instructional Examples Know that are numbers that are not rational, and approximate them by rational numbers. EE8.NS.1. Subtract fractions with like denominators (halves, thirds, fourths, and tenths) with minuends less than or Students will: EE8.NS.1. Subtract fractions with like denominators (halves, thirds, fourths, and tenths) with minuends that may be greater than one. Ex. Subtract two fractions with like denominators with models or numbers. Ex. If I have 1 3/4 and I take 1/4 away, how many wholes and fourths are 8.NS.1. Know that numbers equal to one. 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 repeats eventually into a rational number. left? Students will: EE8.NS.1. Subtract fractions with like denominators (halves, thirds, fourths, and tenths) with minuends less than or to one. Ex. Use fraction bars or fraction circles to add and match a numerical representation to the model so the answer is less than or equal to one. Ex. Given 3/4, take 1/4 away and tell or show how many fourths are left. Ex. 7/10, recognize that 3/10 are needed to make a whole. (Connect to money – 10 dimes = one whole dollar.) Students will: EE8.NS.1. Use models to subtract halves, thirds, and fourths. Ex. a whole divided into thirds, tell how many times they can take a third out of the whole. Ex. Presented a rectangle with 1/3 of the shaded, tell how many thirds are left. Students will: EE8.NS.1. Use models to identify the whole and find the missing pieces of a whole using halves. Ex. Presented an object with a piece missing and a whole object, identify
10_AK-DLM_EE_Math_Grade8_draft_Jul2014.docx