National and PA Common Core Standards (CCS BLUE) (PACCS RED USE THESE!) MONTH/ RESOURCES. Eligible Content Standards SUMMATIVE ASSESSMENT MATH


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1 REVISED JULY 2014 MONTH/ RESOURCES DOMAIN National PA Common Core Stards (CCS BLUE) (PACCS RED USE THESE!) Eligible Content Stards SUMMATIVE ASSESSMENT VOCAB 10 MIN MATH September Unit 3: Thouss of Miles, Thouss of Seats Place Value Supplemental Materials Operations in Base Ten Use place value understing properties of operations to perform multi digit arithmetic. 5.NBT.1 Recognize that in a mini digit number, a digit in one place represents 10 times as much as it represents in the place to its right 1/10 of what it represents in the place to its left. 4.NBT.B.4 Fluently add subtract multi digit whole numbers using the stard algorithm. CC B.1 Apply place value concepts to show an understing of operations rounding as they pertain to whole numbers decimals. M05.A T Demonstrate an understing that in a multi digit a digit in one place represents 1/10 of what it represents in the place to its left. Unit 3 Test Sept algorithm, billion, million, trillions Practicing Place Value Estimation Sense problems (S2O5C, S6O2B) October/ November Unit 1: Puzzles Multiple Towers Operations in Base Ten Operations Algebraic 5.NBT.B.5 Fluently multiply multi digit whole numbers using the stard algorithm. CC B.1 Apply place value concepts to show an understing of operations rounding as they pertain to whole numbers decimals. CC B.2 Extend an understing of operations with whole numbers to perform operations including decimals. 5.NBT.B.6 Find whole number quotients of whole numbers with up to four digit dividends two digit divisors, using strategies based on place value, the properties of operations, /or the relationship between multiplication M05.A T Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10. M05.A T Multiply multi digit whole numbers (not to exceed three digit by three digit). M05.A T Find whole number quotients of whole numbers with up to four digit dividends two digit divisors. Unit 1 Test Nov (By 14th end of first trimester) array, associative property, composite distributive property, dividend, division, divisor, even factor, greater than, less than, multiple, multiplication, odd prime Quick Images (Using grouping symbols) Puzzles Problems (S1O4C, S1O2C, S3O5D, S1O3D, S10O2A, S2O4E, S10O1A)
2 Introduce data analysis supplement Introduce patterns Thinking Mean, median, mode range (not in common core) Operations Algebraic Thinking division. Illustrate explain the calculation by using equations, rectangular arrays, /or area models. 5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, evaluate expressions with these symbols. CC A.1 Interpret evaluate numerical expressions using order of operations. 5.OA.A.2 Write simple expressions that record calculations with numbers, interpret numerical expressions without evaluating them. For example, express the calculation add 8 7, then multiply by 2 as 2 (8 + 7). Recognize that 3 ( ) is three times as large as , without having to calculate the indicated sum or product. 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, graph the ordered pairs on a coordinate plane. M05.B O Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions evaluate expressions containing these symbols. M05.B O Write simple expressions that model calculations with numbers interpret numerical expressions without evaluating them. M05.B O2.1.1 Generate two numerical patterns using two given rules. M05.B O Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules factorization, prime product, quotient, representatio n, square order of operations, grouping symbols CC A.4 Analyze patterns relationships using two rules. November/ December/ January Unit 4: What s That Portion? Operations Fractions 4.NF.A.1 Explain why a fraction a/b is equivalent to a fraction (n a)/(n b) by using visual fraction models, with attention to how the number size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize generate equivalent fractions. PART ONE: M05.A F Add subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods representations.) PART TWO: Unit 4 Test PART ONE AND TWO Fraction, decimal, percent, equivalent Estimation Sense: Closest Estimate Guess My Rule
3 Operations Fractions 4.NF.A.2 Compare two fractions with different numerators different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, justify the conclusions, e.g., by using a visual fraction model. 5.NF.A.1 Add subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. UNIT 4 PART 1: CC C.1 Use the understing of equivalency to add subtract fractions. M05.A F Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers). M05.A F Multiply a fraction (including mixed numbers) by a fraction. M05.A F Demonstrate an understing of multiplication as scaling (resizing). M05.A F Divide unit fractions by whole numbers whole numbers by unit fractions. PART ONE: Dec 17th 19th (19th is last day before winter break) PART TWO: Jan (Prog Reports go home on Jan 20) Problems (S1O5E, S1O1D, S1O4A, S2O5E) 5.NF.A.2 Solve word problems involving addition subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions number sense of fractions to estimate mentally assess the reasonableness of answers. 5.NF.B.3 Interpret a fraction as division of the numerator by the denominator (a/b = a b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. UNIT 4 PART 2: CC C.2 Apply extend previous
4 understings of multiplication division to multiply divide fractions 5.NF.B.4 Apply extend previous understings of multiplication to multiply a fraction or whole number by a fraction. 5.NF.B.4a Interpret the product (a/b) q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a q b. 5.NF.B.6 Solve real world problems involving multiplication of fractions mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Operations Fractions 5.NF.B.7 Apply extend previous understings of division to divide unit fractions by whole numbers whole numbers by unit fractions 5.NF.B.7a Interpret division of a unit fraction by a non zero whole compute such quotients. 5.NF.B.7b Interpret division of a whole number by a unit fraction, compute such quotients. 5.NF.B.7c Solve real world problems involving division of unit fractions by non zero whole numbers division of whole numbers by unit fractions, e.g., by using visual fraction models equations to represent the problem.
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6 Jan/February Unit 6: Decimals on Grids Lines Underst the place value system. Perform operations with multi digit whole numbers with decimals to hundredths. CC B.1 Apply place value concepts to show an understing of operations rounding as they pertain to whole numbers decimals. CC B.2 Extend an understing of operations with whole numbers to perform operations, including decimals. 5.NBT.A.1 Recognize that in a multi digit a digit in one place represents 10 times as much as it represents in the place to its right 1/10 of what it represents in the place to its left. 5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of NBT.A.3 Read, write, compare decimals to thousths. 5.NBT.A.3a Read write decimals to thousths using base ten numerals, number names, exped form. 5.NBT.A.3b Compare two decimals to thousths based on meanings of the digits in each place, using >, =, < symbols to record the results of comparisons. 5.NBT.A.4 Use place value understing to round decimals to any place. M05.A T Demonstrate an understing that in a multi digit a digit in one place represents 1/10 of what it represents in the place to its left. M05.A T Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10. M05.A T Read write decimals to thousths using base ten numerals, word form, exped form. M05.A T Compare two decimals to thousths based on meanings of the digits in each place using >, =, < symbols. M05.A T Round decimals to any place (limit rounding to ones, tenths, hundredths, or thousths place). M05.A T Add, subtract, multiply, divide decimals to hundredths (no divisors with decimals) Unit 6 Test : Feb Decimal, denominator, equivalent, fraction, hundredths, number line, numerator, percent, place value, repeating decimal, ten thousths, tenths, thousths Practicing Place Value Estimation Sense 5.NBT.B.7 Add, subtract, multiply, divide decimals to hundredths, using concrete models or drawings strategies based
7 on place value, properties of operations, /or the relationship between addition subtraction; relate the strategy to a written method explain the reasoning used. March Unit 2: Prisms Pyramids Points, Lines, Rays Supplement Measurement Data Geometry 5.MD.C.3 Recognize volume as an attribute of solid figures underst concepts of volume measurement. CC A.5 Apply concepts of volume to solve problems relate volume to multiplication to addition. 5.MD.C.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, improvised units. CC A.1 Solve problems using conversions within a given measurement system. 5.MD.C.5 Relate volume to the operations of multiplication addition solve real world mathematical problems involving volume. M05.D M Apply the formulas V=l x w x h V= B x h for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world mathematical problems. Formulas will be provided. M05.D M Find volumes of solid figures composed of two non overlapping right rectangular prisms. M05.D M Convert between different sized measurement units within a given measurement system. A table of equivalencies will be provided. Unit 2 Test March volume, rectangular prism, dimension, cubic feet, multiple, cubic inches, multiple, cubic centimeter, volume, linear, cubic meter, length, width, height, pyramid, cylinder, cone, points, lines, rays, line segments, perpendicular, parallel, intersecting Quick Images: 3D Estimation Sense Problems (S1O2B, S1O1C, S1O5B)
8 March/April/ May Unit 5: Measuring Polygons Geometry Classify two dimensional figures into categories based on their properties Solve problems involving measurement conversion of measurements 5.G.B.3 Underst that attributes belonging to a category of two dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles squares are rectangles, so all squares have four right angles. 5.G.B.4 Classify two dimensional figures in a hierarchy based on properties. CC A.2 Classify two dimensional figures into categories based on an understing of their properties. 4.MD.A.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, money, including problems involving simple fractions or decimals, problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. 4.MD.A.3 Apply the area perimeter formulas for rectangles in real world mathematical problems. M05.C G Classify two dimensional figures in a hierarchy based on properties. Unit 5 Test May 4 5 (PSSAs Math Reading April 13 24) Acute, area, convex, decagon, dimension, equilateral, exterior angle, heptagon, hexagon, interior angle, isosceles, obtuse, octagon, parallel, parallelogram, pentagon, perimeter, quadrilateral, rectangle, regular, rhombus, right, scalene, square, supplementar y, trapezoid, Venn diagram Quick Images: 2D Quick Survey Problems (S1O4B, S2O3D, S2O4B, S2O5D, S6O4B, S3O2B, S4O1B, S4O3D, S5O2D, S1O3A, S1O4D, S2O3C, S4O4C, S5O3C) May Unit 8: Growth Patterns Analyze patterns relationships. 5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, graph the ordered pairs on a coordinate plane. CC A.2 Represent interpret data using appropriate scale. M05.B O Generate two numerical patterns using two given rules. M05.B O Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules. Unit 8 Test May Rate of change, steepness, area, perimeter, steady Practicing Place Value Problems (S2O4E, S10O1A, S1O1E, S1O2A, S1O3C,
9 Graph points on the coordinate plane to solve real world mathematical problems. CC A.4 Analyze patterns relationships using two rules. CC A.1 Graph points in the first quadrant on the coordinate plane interpret these points when solving realworld mathematical problems. CC A.1 Solve problems using conversions within a given measurement system. M05.C G Identify parts of the coordinate plane (x axis, y axis, the origin) the ordered pair (x coordinate y coordinate). Limit the coordinate plane to quadrant 1. M05.C G Represent real world mathematical problems by plotting points in quadrant 1 of the coordinate plane interpret coordinate values of points in the context of the situation. S8O1A, S9O2C, S1O1B, S4O4D) 5.G.A.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line a given point in the plane located by using an ordered pair of numbers, called its coordinates. Underst that the first number indicates how far to travel from the origin in the direction of one axis, the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes the coordinates correspond (e.g., x axis x coordinate, y axis y coordinate). 5.G.A.2 Represent real world mathematical problems by graphing points in the first quadrant of the coordinate plane, interpret coordinate values of points in the context of the situation. M05.D M Convert between different sized measurement units within a given measurement system. A table of equivalencies will be provided. M05.D M Solve problems involving computation of fractions by using information presented in line plots. M05.D M Display interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs, use a title, appropriate scale, labels. A grid will be provided to display data on bar graphs or line graphs. 5.MD.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to
10 solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. CC A.4 Solve problems involving computation of fractions using information provided in a line plot. May/June Prime Time Compute fluently with multi digit numbers find common factors multiples. 6.NS.B.4 Find the greatest common factor of two whole numbers less than or equal to 100 the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. CC E.2 Identify choose appropriate processes to compute fluently with multi digit numbers. Prime Time Test My Special Project Proper factor least common multiple, greatest common factor, factor pair, multiple, dimensions, conjecture, exponent, square decificient abundant number perfect number odd even composite prime number prime factorization, Mathemati cal reflections My Special Project
11 relatively prime If Time Allows Unit 9: How Long Can You St on One Foot? Graph points on the coordinate plane to solve real world mathematical problems. 5.G.A.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line a given point in the plane located by using an ordered pair of numbers, called its coordinates. Underst that the first number indicates how far to travel from the origin in the direction of one axis, the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes the coordinates correspond (e.g., x axis x coordinate, y axis y coordinate). M05.D M Solve problems involving computation of fractions by using information presented in line plots. M05.D M Display interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs use a title, appropriate scale labels. A grid will be provided to display data on bar graphs or line graphs. Unit 9 Test Graphing Project Data, experiment, line plot, range, median, trial, plot, scale, axis, graph, probability, fair Quick Survey Estimation Sense: Closest Estimate CC A.2 Represent interpret data using appropriate scale. CC A.4 Solve problems involving computation of fractions using information provided in a line plot. 5.G.A.2 Represent real world mathematical problems by graphing points in the first quadrant of the coordinate plane, interpret coordinate values of points in the context of the situation.
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