LEAD.grade Level Scope.grade6.SP.edits

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  • 7/28/2019 LEAD.grade Level Scope.grade6.SP.edits

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    Grade Level Scope

    LEAD

    Topic/Domain

    Grade __6_ Transition

    Statement1) Ratio and

    Proportional

    Relationships

    1.06.1 Explain the concept of a ratio. 1.06.2 Describe relationship between two quantities using

    ratio language.

    1.06.3 Identify and use the multiple representations for ratios. 1.06.4 Write a ratio from real-life situation or picture. 1.06.5 Create a table of equivalent rations relating quantities

    with whole number measurements.

    1.06.6 Find missing values in a table representing ratios. 1.06.7 Create and plot ordered pairs from a ratio table. 1.06.8 Compare ratios using tables. 1.06.9 Define unit rates using ratio language. 1.06.10 Solve unit rate problems. 1.06.11 Solve multi-step unit rate problems. 1.06.12 Defend or refute the reasonableness of a unit rate

    based on a real life situation.

    1.06.13 Explain the answer to a unit-rate problem using ratiolanguage.

    1.06.14 Solve for the whole number when given a part and thepercent.

    1.06.15 Find the percent of a quantity as a rate per 100. 1.06.16 Solve problems involving ratios, rates and percents. 1.06.17 Solve problems involving ratios, rates and percents.

    Black = LEAD

    standards

    Red = TN standards

    that are not

    covered by

    common core (and

    will possibly be

    phased out)

    Blue = phased out

    next year

    Green = ACT

    standards only

    2) Number System 2.06.1 Find the greatest common factor of two whole numbersless than or equal to 100.

    2.06.2 Find the least common multiple of two whole numbersless than or equal to 12.

    2,06.3 Express a sum using greatest common factor and thedistributive property.

    2.06.4 Divide multi-digit numbers using the standardalgorithm.

    2.06.5 Explain the standard algorithm process for dividingmulti-digit numbers.

    2.06.6 Estimate the results of rational number computations.

    2.06.7 Defend or Refute the reasonableness of a rationalnumber computation or estimate.

    2.06.8 Add, subtract, multiple and divide multi-digit decimalsusing the standard algorithm.

    2.06.9 Explain the standard algorithm steps for adding,subtracting, multiplying and dividing multi-digit decimals.

    2.06.10 Solve real-life multi-step problems involving addition,subtraction, multiplication and division of decimals.

    2.06.11 Add, subtract, multiple and divide multi-digit decimals

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    Grade Level Scopeusing the standard algorithm.

    2.06.12 Explain the standard algorithm steps for adding,subtracting, multiplying and dividing multi-digit decimals.

    2.06.13 Solve real-life multi-step problems involving addition,subtraction, multiplication and division of decimals.

    2.06.14 Identify situations involving positive and negativenumbers.

    2.06.15 Understand positive and negative numbers and theirrole as opposite directions.

    2.06.16 Apply positive and negative numbers to real worldcontexts.

    2.06.17 Explain the meaning of 0 in positive and negativerelationships and various real world contexts

    2.06.18 Locate opposite numbers on a number line. 2.06.19 Define and apply the meaning of absolute value. 2.06.20 Identify the absolute value of numbers. 2.06.21 Apply real-life situations to statements about value. 2.06.22 Interpret statements of inequality as statements about

    the relative position of two numbers on a number line diagram.

    2.06.23 Write, interpret, and explain statements of order forrational numbers in real-world contexts.

    2.06.24 Use extended number line diagrams to locate andrepresent positive and negative points on a line.

    2.06.25 Locate and position integers and other rationalnumbers on a horizontal or vertical number line diagram.

    2.06.26 Locate and position pairs of integers and rationalnumbers on a coordinate

    2.06.27 Number and label a coordinate plane and number line. 2.06.28 Use extended coordinate planes to locate and

    represent positive and negative points in a plane.

    2.06.29 Locate and position pairs of integers and rationalnumbers on a coordinate plane.

    2.06.30 Label and number a coordinate plane. 2.06.31 Graph ordered pairs in all four quadrants of the

    coordinate system.

    2.06.32 Understand signs of numbers in order pairs asindicating locations in quadrants of the coordinate plane.

    2.06.33 Identify ordered pairs that are reflections across oneor both axes.

    2.06.34 Locate the coordinating ordered pair that wouldprovide the reflection across one or both axes. 2.06.35 Compute quotients of fractions. 2.06.36 Interpret quotients of fractions. 2.06.37 Use visual fraction models and equations to compute

    and explain quotients of fractions.

    2.06.38 Transform numbers from one form to another(fractions, decimals, percents, and mixed numbers).

    2.06.39 Solve problems involving the multiplication and

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    Grade Level Scopedivision of fractions.

    2.06.40 Solve problems involving the addition, subtraction,multiplication, and division of mixed numbers.

    2.06.41 Identify and apply concrete, pictorial and symbolicrepresentations for integers

    plane.3) Expressions and

    Equations

    3.06.1 Write numerical expression involving whole-numberexponents.

    3.06.2 Evaluate numerical expressions involving whole-numberexponents.

    3.06.3 Evaluate expressions in which letters stand fornumbers.

    3.06.4 Write, read and translate expression in which lettersstand for numbers.

    3.06.5 Identify multiple representations for equivalentexpressions (i.e. words, symbols, scenarios)

    3.06.6. Identify parts of an expression using mathematicalterms (sum, term, product, factor, quotient, coefficient)

    3.06.7 Deconstruct the multiple parts of an expression into thesingle entities. For example, describe the expression 2 (8 + 7) as

    a product of two factors; view (8 + 7) as both a single entity and

    a sum of two terms.

    3.06.8 Evaluate expressions at specific values of theirvariables. Include expressions that arise from formulas used in

    real-world problems.

    3.06.9 Substitute values into a formula and solve using correctorder of operations.

    3.06.10 Perform arithmetic operations, including thoseinvolving whole- number exponents, in the conventional order

    when there are no parentheses to specify a particular order

    (Order of Operations). For example, use the formulas V = s3

    and A = 6 s2 to find the volume and surface area of a cube with

    sides of length s = 1/2.

    3.06.11 Write equivalent expressions, including expressionswith variables using various properties.

    3.06.12 Define and identify like terms. 3.06.13 Translate real-world situations or mathematical

    problems using variables.

    3.06.14 Define variables and explain their role. 3.06.15 Solve real-world and mathematical problems by

    writing and solving equations in the form x+p= q and px=q for

    which p, x, and q are nonnegative rational numbers.

    3.06.16 Understand solving an equation or inequality as aprocess of answering a question: which values from a specified

    set, if any, make the equation or inequality true?

    3.06.17 Use substitution to determine whether a givennumber in a specified set makes an equation or inequality true.

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    Grade Level Scope 3.06.18 Write an inequality to represent a constraint of

    condition in a real world or mathematical problem.

    3.06.19 Identify the infinite solutions of inequalities. 3.06.20 Represent inequalities on a number line diagram. 3.06.21 Solve and graph a 1 step inequality on a number line. 3.06.22 Identify the solution set of an inequality. 3.06.23 Use substitution to determine whether a given

    number in a specified set makes an equation or inequality true.

    3.06.24 Use variables to represent two quantities in a real-world problem that change in relationship to one another

    3.06.25 Write an equation to express one quantity, thought ofas the dependent variable, in terms of the other quantity,

    thought of as the independent variable.

    3.06.26 Analyze the relationship between the dependent andindependent variables using graphs and tables, and relatethese to the equation

    3.06.27 Translate between graphs, tables, and equations thatrepresent two quantities that change in relationship to one

    another.

    3.06.28 Translate between verbal expressions/sentences andalgebraic expressions/equations.

    3.06.29 Solve multi-step arithmetic problems using fractions,mixed numbers, and decimals.

    3.06.30 Solve multi-step arithmetic real-life word problemsusing fractions, mixed numbers, and decimals.

    3.06.31 Solve two-step linear equations using number sense,properties, and inverse operations

    3.06.32 Select the representation that models one of thearithmetic properties (commutative, associative, or

    distributive).

    3.06.33 Model algebraic expressions using algebra tiles.4) Functions

    5) Basics of Geometry 5.06.1 Apply the techniques of decomposing irregular figures tosolve real-world and mathematical problems.

    5.06.2 Define surface area and volume including real-lifeapplications.

    5.06.3 Define surface area and volume including real-lifeapplications.

    5.06.4 Develop and explain the volume formula for rightrectangular prisms.

    5.06.5 Find a missing angle measure in problems involvinginterior/exterior angles and/or their sums.

    5.06.6 Calculate with circumferences and areas of circles.

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    Grade Level Scope6) Congruency and

    Similarity

    7) Creating Shapes

    and Models

    7.06.1 Represent three-dimensional figures using nets made upof rectangles and triangles.

    8) Measurement 8.06.1 Use ratio reasoning to convert measurement units;manipulate and transform units appropriately when

    multiplying or dividing quantities.

    8.06.2 Perform arithmetic operations, including thoseinvolving whole- number exponents, in the conventional order

    when there are no parentheses to specify a particular order

    (Order of Operations). For example, use the formulas V = s3and A = 6 s2 to find the volume and surface area of a cube with

    sides of length s = 1/2.

    8.06.3 Find the area of right triangles, other triangles, specialquadrilaterals, and polygons by composing into rectangles or

    decomposing into triangles and other shapes;

    8.06.4 Find the area of right triangles, other triangles, specialquadrilaterals, and polygons by composing into rectangles or

    decomposing into triangles and other shapes;

    8.06.5 Find the surface area of 3D figures using nets. 8.06.6 Solve real world and mathematical problems involving

    3D figures, surface area and nets.

    8.06.7 Find the surface area of 3D figures using nets. 8.06.8 Find the volume of a right rectangular prism with

    fractional edge lengths by packing it with unit cubes of the

    appropriate unit fraction edge lengths

    8.06.9 Solve volume problems using volume formula for rightrectangular prisms with fractional edge lengths including real-

    world and mathematical problems.

    9) Data Analysis 9.06.1 Identify statistical questions.

    9.06.2 Explain the difference between statistical and nonstatistical questions.

    9.06.3 Write statistical questions or rewrite nonstatisticalquestions as statistical questions

    9.06.4 Define and compare measure of center and measure ofvariation for numerical data set.

    9.06.5 Find measures of center and measures of variation fordata sets.

    9.06.6 Use measures of center and measures of variation toidentify data sets.

    9.06.7 Identify statistical questions.

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    Grade Level Scope 9.06.8 Explain the difference between statistical and non-

    statistical questions.

    9.06.9 Write statistical questions or rewrite non-statisticalquestions as statistical questions

    9.06.10 Define and compare measure of center and measureof variation for numerical data set.

    9.06.11 Find measures of center and measures of variation fordata sets.

    9.06.12 Display numerical data in plots on a number line,including dot plots, histograms, and box plots. (upper quartile,

    lower quartile, interquartile range)

    9.06.13 Match numerical data and various plots. 9.06.14 Make conjectures and predictions based on data.

    (Interpreting Bar, Line, Circle, etc Graphs)

    9.06.15 Determine whether or not a sample is biased. 9.06.16 Identify features of graphs that may be misleading. 9.06.17 Determine whether or not a sample is biased.

    10 Probability