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  Galena City School District
  Standards and Skills
   
MA.10   Mathematics - Grade 10
   
MA.10.01   solve algebraic expressions.
MA.10.01.01        - solve linear equations.
MA.10.01.02        - identify linear equations.
MA.10.01.03        - evaluate algebraic expressions with one unknown.
MA.10.01.04        - given the value of x, evaluate expressions such as a-b(x+c).
MA.10.02   apply PEMDAS.
MA.10.02.01        - apply PEMDAS to solve and simplify algebraic expressions such as a(b-x)-c=(ab-ax)-c.
MA.10.02.02        - apply all operation symbols including +-x/< >= and square root symbol.
MA.10.03   express inequalities.
MA.10.03.01        - evaluate word problems to express inequalities.
MA.10.03.02        - express inequalities such as ax<b.
MA.10.04   solve quadratic equations.
MA.10.04.01        - given the value of x, solve for y.
MA.10.05   draw conclusions from graphs and charts.
MA.10.05.01        - compare data within a chart to express inequalities.
MA.10.05.02        - analyze Venn diagrams.
MA.10.05.03        - evaluate conclusions drawn from data.
MA.10.05.04        - identify unsupported conclusions.
MA.10.06   transform data from one graph to another.
MA.10.06.01        - transform data from bar to line graph to pie chart.
MA.10.06.02        - transform data from a Y axis beginning with 0 to one beginning with first value.
MA.10.06.03        - analyze the effect of the change of scale on the Y axis.
MA.10.07   divide fractions by fractions.
MA.10.07.01        - divide fractions by fractions with common denominator.
MA.10.07.02        - divide fractions by fractions with no common denominator.
MA.10.08   apply percents to solve real world problems.
MA.10.08.01        - given a number x, find y% of x.
MA.10.09   apply the line of symmetry to the trajectory of an object in motion.
MA.10.10   apply geometric formulas.
MA.10.10.01        - solve for missing dimensions of geometric figures.
MA.10.11   apply spatial reasoning.
MA.10.11.01        - predict the combination of geometric figures.
MA.10.11.02        - extrapolate obverse faces of combined solid figures.
MA.10.12   apply concepts of arc and chords.
MA.10.12.01        - determine arc degrees of segments of a circle in real world problems.
MA.10.13   measure objects using metric scale.
MA.10.13.01        - select the most appropriate unit of metric measurement for a given task.
MA.10.13.02        - estimate the weight of common objects in grams and kilograms.
MA.10.14   apply scale models and ratios to find actual size.
MA.10.14.01        - apply scale models to measure objects using metric units.
MA.10.14.02        - given a model or map and the actual size, determine the scale used for the model.
MA.10.14.03        - use maps and the given distance from a to b to determine actual distance to c to d.
MA.10.14.04        - calculate increase in area of a rectangle based on an increase in the L or W.
MA.10.14.05        - apply area formula to calculate changes in dimension of squares.
MA.10.14.06        - apply area formula to calculate changes in dimension of triangles.
MA.10.14.07        - apply area formula to calculate changes in dimension of parallelograms.
MA.10.15   apply ratios and proportions to solve problems.
MA.10.15.01        - determine the proportion of x to y.
MA.10.15.02        - express the ratio of z=x/y as 1:z.
MA.10.15.03        - find and express ratios.
MA.10.15.04        - apply multiplication and division to solve real world ratio and proportion problems.
MA.10.15.05        - identify word problems which require rations.
MA.10.16   apply number theory.
MA.10.16.01        - define and identify examples of even and odd numbers.
MA.10.16.02        - define and identify examples of prime numbers.
MA.10.16.03        - define and identify examples of squares.
MA.10.16.04        - define and identify examples of square roots.
MA.10.16.05        - define and identify examples of exponents.
MA.10.16.06        - define and identify examples of radicals.
MA.10.16.07        - given an equation which expresses a number, identify it as prime, square root, etc.
MA.10.17   apply concept of square roots.
MA.10.17.01        - identify the numbers of which numbers 1-12 form the square root.
MA.10.17.02        - identify the closest square root of a number.
MA.10.17.03        - multiply xa * xb
MA.10.18   apply factors, multiples, and divisibility.
MA.10.18.01        - complete patterns of numbers and figures.
MA.10.18.02        - identify the function of a pattern and extrapolate from 5th to nth expression.
MA.10.18.03        - identify multiples of a given number.
MA.10.18.04        - identify multiples to solve a word problem.
MA.10.18.05        - identify factors of a number.
MA.10.19   apply estimation and rounding.
MA.10.19.01        - apply estimation to multiplication and division.
MA.10.19.02        - apply estimation to answer social studies and science questions.
MA.10.19.03        - identify the level of rounding required for a specific application.
MA.10.19.04        - given a rounded figure, describe the level of rounding as to the nearest 10th, 100th etc.
MA.10.20   solve probability problems.
MA.10.20.01        - solve word problems involving possible combinations.
MA.10.20.02        - calculate total number of possible combinations.
MA.10.20.03        - calculate the probability of an event.
MA.10.20.04        - solve multi-step word problems of probability.
MA.10.20.05        - given the description of an experiment, calculate the probability of one outcome.
MA.10.21   solve rate problems.
MA.10.21.01        - solve for time duration using rate.
MA.10.21.02        - given the rate/task, find how long in minutes, days, hours a task will take.
MA.10.21.03        - given the duration in minutes or hours, and the rate, calculate the amount of work.
MA.10.21.04        - estimate duration based on rate.
MA.10.22   locate points on the coordinate plane.
MA.10.22.01        - locate the vertices of a geometric figure on the coordinate plane given one vertex.
MA.10.22.02        - given the coordinates of one vertex identify the coordinates of the others.
MA.10.22.03        - given the coordinates of triangle A and one side of similar B, find the rest of B coordinates.
MA.10.23   apply computations skills to all operations.
MA.10.23.01        - solve -x * -y *z.
MA.10.23.02        - determine sign for solutions of operations involving negative numbers.
MA.10.24   apply math logic to solve problems.
MA.10.24.01        - use math logical to test validity of solutions.
MA.10.24.02        - evaluate solutions for logic.
MA.10.24.03        - apply measurement, formulas, and geometric logic to solve problems.
MA.10.24.04        - apply deductive reasoning to geometry puzzles.
MA.10.24.05        - apply deductive reasoning to proportion puzzles.
MA.10.24.06        - apply logic to estimate effect of changes in size.
MA.10.25   solve 4 step word problems.
MA.10.25.01        - use algebra to solve word problems.
MA.10.25.02        - convert word problems to systems of linear equations with 2 unknowns, then solve.
MA.10.25.03        - apply all computational skills to solve complex word problems.
MA.10.25.04        - solve word problems presented in non-operational order.
MA.10.25.05        - solve word problems with extraneous information.
MA.10.25.06        - evaluate operations required for word problems.
MA.10.25.07        - use a variety of graphic formats to solve word problems.
   
  ©2002 Galena City School District