Problem Solving

Number Sense & Operations

6.PS.1 Know the difference between relevant and irrelevant information when solving problems

6.N.1    Read and write whole numbers to trillions

6.PS.2 Understand that some ways of representing a problem are more efficient than others

6.N.2    Define and identify the commutative and associative properties of addition and multiplication

6.PS.3Interpret information correctly, identify the problem, and generate possible strategies and solutions

6.N.3    Define and identify the distributive property of multiplication over addition

6.PS.4Act out or model with manipulatives activities involving mathematical content from literature

6.N.4    Define and identify the identity and inverse properties of addition and multiplication

6.PS.5Formulate problems and solutions from everyday situations

6.N.5    Define and identify the zero property of multiplication

6.PS.6Translate from a picture/diagram to a numeric expression

6.N.6    Understand the concept of rate

6.PS.7 Represent problem situations verbally,

numerically, algebraically, and/or graphically

6.N.7    Express equivalent ratios as a proportion

6.PS.8Select an appropriate representation of a problem

6.N.8    Distinguish the difference between rate and ratio

6.PS.9Understand the basic language of logic in mathematical situations (and, or, and not)

6.N.9    Solve proportions using equivalent fractions

6.PS.10 Work in collaboration with others to solve problems

6.N.10 Verify the proportionality using the product of the means equals the product of the extremes

6.PS.11 Translate from a picture/diagram to a number or symbolic expression

6.N.11 Read, write, and identify percents of a whole (0% to 100%)

6.PS.12 Use trial and error and the process of elimination to solve problems

6.N.12 Solve percent problems involving percent, rate, and base

6.PS.13 Model problems with pictures/diagrams or physical objects

6.N.13 Define absolute value and determine the absolute value of rational numbers (including positive and negative)

6.PS.14 Analyze problems by observing patterns

6.N.14 Locate rational numbers on a number line (including positive and negative)

6.PS.15 Make organized lists or charts to solve numerical problems

6.N.15 Order rational numbers (including positive and negative)

6.PS.16 Discuss with peers to understand a problem situation

6.N.16 Add and subtract fractions with unlike denominators

6.PS.17 Determine what information is needed to solve problem

6.N.17 Multiply and divide fractions with unlike denominators

6.PS.18 Determine the efficiency of different representations of a    problem

6.N.18 Add, subtract, multiply, and divide mixed numbers with unlike denominators

6.PS.19 Differentiate between valid and invalid approaches

6.N.19 Identify the multiplicative inverse (reciprocal) of a number

6.PS.20 Understand valid counterexamples

6.N.20 Represent fractions as terminating or repeating decimal

6.PS.21 Explain the methods and reasoning behind the problem solving Strategies used

6.N.21 Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)

6.PS.22 Discuss whether a solution is reasonable in the context of the original problem

6.N.22 Evaluate numerical expressions using order of operations (may include exponents of two and three)

6.PS.23 Verify results of a problem

6.N.23 Represent repeated multiplication in exponential form

Algebra

6.N.24 Represent exponential form as repeated multiplication

6.A.1    Translate two-step verbal expressions into algebraic expressions

6.N.25 Evaluate expressions having exponents where the power is an exponent of one, two, or three

6.A.2    Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)

6.N.26 Estimate a percent of quantity (0%to 100%)

6.A.3 Translate two-step verbal sentences into algebraic equations

6.N.27 Justify the reasonableness of answers using estimation (including rounding)

6.A.4    Solve and explain two-step equations involving whole numbers using inverse operations

Geometry

6.A.5    Solve simple proportions within context

6.G.1 Calculate the length of corresponding sides of similar triangles, using proportional reasoning

6.A.6    Evaluate formulas for given input values circumference, area, volume, distance, temperature, interest, etc.)

6.G.2   Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas

Geometry

Measurement

6.G.3 Use a variety of strategies to find the area of regular and irregular

Polygons

6.M.1   Measure capacity and calculate volume of a rectangular prism

6.G.4   Determine the volume of rectangular prisms by counting cubes and develop the formula

6.M.2   Identify customary units of capacity (cups, pints, quarts, and gallons)

6.G.5   Identify radius, diameter, chords and central angles of a circle

6.M.3   Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons)

6.G.6   Understand the relationship between the diameter and radius of a circle

6.M.4   Identify metric units of capacity (liter and milliliter)

6.G.7   Determine the area and circumference of a circle, using the appropriate formula

6.M.5   Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter)

6.G.8   Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle

6.M.6Determine the tool and technique to measure with an appropriate

level of precision: capacity

6.G.9   Understand the relationship between the circumference and the diameter of a circle

6.M.7   Estimate volume, area, and circumference (see figures identified in geometry strand)

6.G.10Identify and plot points in all four quadrants

6.M.8  Justify the reasonableness of estimates

Probability & Statistics

6.M.9 Determine personal references for capacity

6.S.1 Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question

6.S.2   Record data in a frequency table

6.S.3    Construct Venn diagrams to sort data

6.S.4    Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)

6.S.5    Determine the mean, mode and median for a given set of data

6.S.6    Determine the range for a given set of data

6.S.7    Read and interpret graphs

6.S.8    Justify predictions made from data 

6.S.9    List possible outcomes for compound events

6.S.10 Determine the probability of dependent events

6.S.11 Determine the number of possible outcomes for a compound event by using the fundamental counting principle and use this to determine the probabilities of events when the outcomes have equal probability