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Galena City School District |
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Standards and Skills |
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| MA.09 |
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Mathematics - Grade 9 |
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| MA.09.01 |
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solve linear equations. |
| MA.09.01.01 |
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- identify linear equations. |
| MA.09.01.02 |
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- solve systems of linear equations. |
| MA.09.01.03 |
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- convert word problems to systems of linear equations. |
| MA.09.01.04 |
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- match linear equation, graph, and data chart. |
| MA.09.01.05 |
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- apply PEMDAS. |
| MA.09.01.06 |
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- simplify expressions such as c(ax+by)-y. |
| MA.09.02 |
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solve expressions with two unknowns. |
| MA.09.02.01 |
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- given values for x and y, solve expressions containing two unknowns. |
| MA.09.02.02 |
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- solve c=ax when x=g and y=dx or y=h+x, etc. |
| MA.09.03 |
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solve quadratic equations. |
| MA.09.03.01 |
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- add, multiply, and subtract numbers expressed as squares and/or cubes (PEMDAS). |
| MA.09.03.02 |
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- apply PEMDAS to quadratic equations. |
| MA.09.03.03 |
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- identify graphs of quadratic equations. |
| MA.09.04 |
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identify and apply factors/multiples/divisibles. |
| MA.09.04.01 |
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- identify numbers which share two factors. |
| MA.09.04.02 |
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- find the divisibles of any number 0-10,000. |
| MA.09.04.03 |
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- apply multiples of 1-12 to evaluate the factors of a number. |
| MA.09.04.04 |
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- recall multiples of 1-12. |
| MA.09.05 |
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interpret graphs and charts. |
| MA.09.05.01 |
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- analyze multiple bar graphs (e.g. 4 values for a year, multiple years displayed). |
| MA.09.05.02 |
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- analyze multiple line graphs. |
| MA.09.05.03 |
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- select the graph which displays a given data chart. |
| MA.09.05.04 |
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- compare data in multi-cells data charts. |
| MA.09.05.05 |
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- evaluate data in graphs and graphs to solve for most expensive, most efficient, etc. |
| MA.09.05.06 |
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- compare data in two different formats to draw inferences. |
| MA.09.05.07 |
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- evaluate data to determine which statements the data does and does not support. |
| MA.09.05.08 |
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- identify conclusions not supported by graphic data. |
| MA.09.05.09 |
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- apply data from graphs to solve three step problems. |
| MA.09.05.10 |
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- synthesize data from graphs, charts, and narrative. |
| MA.09.06 |
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interpret points on a number line. |
| MA.09.06.01 |
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- interpret negative and positive points on a number line. |
| MA.09.06.02 |
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- interpret equal interval scale number lines. |
| MA.09.06.03 |
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- given points a, b, c, d, e on a number line, and c=x, express value of a. |
| MA.09.07 |
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differentiate function of different data display formats. |
| MA.09.07.01 |
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- select line graphs to show rate and trends. |
| MA.09.07.02 |
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- select bar graphs to compare quantities. |
| MA.09.07.03 |
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- select pie graphs to evaluate proportion and percentages. |
| MA.09.07.04 |
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- select data charts for evaluation and analysis. |
| MA.09.08 |
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apply percents to solve a variety of real world problems. |
| MA.09.08.01 |
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- calculate what % x is of y. |
| MA.09.08.02 |
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- identify 10% of a number by moving the decimal point to the left. |
| MA.09.08.03 |
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- given the total cost of an item and the sale tax %, find the original base price. |
| MA.09.08.04 |
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- given a value y which is x% of z, solve for z ($5.00 is 10% of z, what is z?). |
| MA.09.08.05 |
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- calculate the total cost of an item given based and the % sales tax. |
| MA.09.08.06 |
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- given the $ figure of a tax, find the tax %. |
| MA.09.08.07 |
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- apply percentages to calculations in different currencies. |
| MA.09.09 |
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express numbers in equivalent forms. |
| MA.09.09.01 |
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- convert numbers from numeric expressions to words to mixed forms. |
| MA.09.09.02 |
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- use numbers expressed in powers of 10 (e.g. 10 to the 6 = 1 million). |
| MA.09.09.03 |
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- evaluate numbers included in narratives, graphs, and charts. |
| MA.09.10 |
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visualize transformations of solid and plane geometric figures. |
| MA.09.10.01 |
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- visualize rotations. |
| MA.09.10.02 |
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- visualize flips. |
| MA.09.10.03 |
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- visualize slides. |
| MA.09.10.04 |
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- visualize obverses of regular and irregular figures. |
| MA.09.10.05 |
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- identify parallel and perpendicular vertices of solid figures. |
| MA.09.11 |
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apply geometric formulas to measure objects. |
| MA.09.11.01 |
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- solve for area. |
| MA.09.11.02 |
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- solve for circumference. |
| MA.09.11.03 |
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- solve for perimeter. |
| MA.09.11.04 |
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- apply the Pythagorean Theorem. |
| MA.09.11.05 |
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- evaluate a word problem to determine which formulas are required. |
| MA.09.12 |
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apply spatial reasoning to the combination of geometric figures. |
| MA.09.12.01 |
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- analyze the combination of two or more solid figures. |
| MA.09.12.02 |
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- extrapolate the total number of faces of combined solid figures. |
| MA.09.13 |
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apply properties of angles. |
| MA.09.13.01 |
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- identify and apply definition of complementary angles. |
| MA.09.13.02 |
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- identify and apply definition of supplementary angles. |
| MA.09.13.03 |
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- identify and apply definition of adjacent angles. |
| MA.09.13.04 |
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- identify and apply definition of vertical angles. |
| MA.09.13.05 |
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- identify and apply definition of perpendicular angles. |
| MA.09.13.06 |
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- identify and apply definition of parallel angles. |
| MA.09.13.07 |
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- estimate angle measurements based on a visual comparison to 60, 90 & 180 degrees. |
| MA.09.14 |
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apply English system measurement equivalencies. |
| MA.09.14.01 |
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- measure objects by length, weight, and volume. |
| MA.09.14.02 |
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- convert up and down the English scale using equivalencies (ounces to cup, etc.). |
| MA.09.14.03 |
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- use appropriate units to measure objects within a scale. |
| MA.09.15 |
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solve problems using ratios and proportion. |
| MA.09.15.01 |
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- use ratios to convert units within a scale (i.e. if Denali is 22,000 ft, how many miles?). |
| MA.09.15.02 |
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- solve for total expenditures given a rate per dozen. |
| MA.09.15.03 |
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- solve for total number of units given $/unit and total expenditure. |
| MA.09.15.04 |
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- apply conversion ratios from one currency to another. |
| MA.09.15.05 |
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- measure scale models to solve for size of actual object. |
| MA.09.15.06 |
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- measure real distances using scaled maps. |
| MA.09.15.07 |
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- apply proportional reasoning to solve word problems. |
| MA.09.16 |
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complete operations using integers. |
| MA.09.16.01 |
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- add positive and negative integers. |
| MA.09.16.02 |
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- multiply positive and negative integers. |
| MA.09.16.03 |
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- divide negative numbers by negative numbers. |
| MA.09.16.04 |
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- determine sign +/- of solutions involving negative numbers. |
| MA.09.17 |
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complete complex patterns. |
| MA.09.17.01 |
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- complete number patterns involving multi-step operations. |
| MA.09.17.02 |
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- express functions which generate patterns. |
| MA.09.17.03 |
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- given the first 5 expressions of a pattern, solve for the 8th. |
| MA.09.17.04 |
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- solve geometric patterns for their function. |
| MA.09.18 |
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apply estimation and rounding. |
| MA.09.18.01 |
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- differentiate problems requiring estimation vs. calculation. |
| MA.09.18.02 |
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- apply estimation and rounding to solve word problems. |
| MA.09.18.03 |
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- apply estimation and rounding to eliminate illogical answers. |
| MA.09.19 |
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compare and order numbers. |
| MA.09.19.01 |
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- compare and order up to 6 positive and negative numbers. |
| MA.09.19.02 |
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- compare decimals to the 5th place. |
| MA.09.19.03 |
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- select numbers for comparison from graphs, charts, maps, and narrative. |
| MA.09.20 |
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compute and apply measures of central tendency. |
| MA.09.20.01 |
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- compute the average of 4 numbers 1 - 999,999. |
| MA.09.20.02 |
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- estimate averages of numbers greater than 10 to the 5th power. |
| MA.09.21 |
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interpret and apply slope = rise/run. |
| MA.09.21.01 |
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- interpret line graphs which display rate. |
| MA.09.21.02 |
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