CONTENT STRANDS |
Number Sense and Operations Strand |
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems. |
Number Systems |
6.N.1 - Read and write whole numbers to trillions |
6.N.2 - Define and identify the commutative and associative properties of addition and multiplication |
6.N.3 - Define and identify the distributive property of multiplication over addition |
6.N.4 - Define and identify the identity and inverse properties of addition and multiplication |
6.N.5 - Define and identify the zero property of multiplication |
6.N.6 - Understand the concept of ratio |
6.N.7 - Express equivalent ratios as a proportion |
6.N.8 - Distinguish the difference between rate and ratio |
6.N.9 - Solve proportions using equivalent fractions
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6.N.10 - Verify the proportionality using the product of the means equals the product of the extremes |
6.N.11 - Read, write, and identify percents of a whole (0% to 100%) |
6.N.12 - Solve percent problems involving percent, rate, and base |
6.N.13 - Define absolute value and determine the absolute value of rational numbers (including positive and negative) |
6.N.14 - Locate rational numbers on a number line (including positive and negative) |
6.N.15 - Order rational numbers (including positive and negative) |
Students will understand meanings of operations and procedures, and how they relate to one another. |
Operations |
6.N.16 - Add and subtract fractions with unlike denominators |
6.N.17 - Add, subtract, multiply, and divide fractions with unlike denominators. |
6.N.18 - Multiply and divide mixed numbers with unlike denominators |
6.N.19 - Identify the multiplicative inverse (reciprocal) of a number |
6.N.20 - Represent fractions as terminating or repeating decimals |
6.N.21 - Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100) |
6.N.22 - Evaluate numerical expressions using order of operations (may include exponents of two and three) |
6.N.23 - Represent repeated multiplication in exponential form |
6.N.24 - Represent exponential form as repeated multiplication |
6.N.25 - Evaluate expressions having exponents where the power is an exponent of one, two, or three
Exponents |
Students will compute accurately and make reasonable estimates. |
Estimation |
6.N.26 - Estimate a percent of quantity (0% to 100%) |
6.N.27 - Justify the reasonableness of answers using estimation (including rounding) |
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Algebra Strand |
Students will represent and analyze algebraically a wide variety of problem solving situations. |
Variables and Expressions |
6.A.1 - Translate two-step verbal expressions into algebraic expressions |
Students will perform algebraic procedures accurately. |
Variables and Expressions |
6.A.2 - Use substitution to evaluate algebraic expressions (may include exponents of one, two and three) |
Equations and Inequalities |
6.A.3 - Translate two-step verbal sentences into algebraic equations |
6.A.4 - Solve and explain two-step equations involving whole numbers using inverse operations |
6.A.5 - Solve simple proportions within context |
6.A.6 - Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.) |
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Geometry Strand |
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. |
Shapes |
6.G.1 - Calculate the length of corresponding sides of similar triangles, using proportional reasoning |
6.G.2 - Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop
formulas |
6.G.3 - Use a variety of strategies to find the area of regular and irregular polygons |
6.G.4 - Determine the volume of rectangular prisms by counting cubes and develop the formula |
6.G.5 - Identify radius, diameter, chords and central angles of a circle |
6.G.6 - Understand the relationship between the diameter and radius of a circle |
6.G.7 - Determine the area and circumference of a circle, using the appropriate formula |
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.G.9 - Understand the relationship between the circumference and the diameter of a circle |
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Students will apply coordinate geometry to analyze problem solving situations. |
Coordinate Geometry |
6.G.10 - Identify and plot points in all four quadrants |
6.G.11 - Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of
rectangles having sides with integer lengths) |
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Measurement Strand |
Students will determine what can be measured and how, using appropriate methods and formulas. |
Units of Measurement |
6.M.1 - Measure capacity and calculate volume of a rectangular prism |
6.M.2 - Identify customary units of capacity (cups, pints, quarts, and gallons) |
6.M.3 - Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons) |
6.M.4 - Identify metric units of capacity (liter and milliliter) |
6.M.5 - Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter) |
Tools and Methods |
6.M.6 - Determine the tool and technique to measure with an appropriate level of precision: capacity |
Students will develop strategies for estimating measurements. |
Estimation |
6.M.7 - Estimate volume, area, and circumference (see figures identified in geometry strand) |
6.M.8 - Justify the reasonableness of estimates |
6.M.9 - Determine personal references for capacity |
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Statistics and Probability Strand |
Students will collect, organize, display, and analyze data. |
Collection of Data |
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 |
Organization and Display of Data |
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) |
Analysis of Data |
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 |
Students will make predictions that are based upon data analysis. |
Predictions from Data |
6.S.8 - Justify predictions made from data |
Students will understand and apply concepts of probability. |
Probability |
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 |
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