5th Accelerated Math Pacing Guide

GRADING PERIOD: 1st Nine Weeks Getting to Know You - Community Building 6.5 Positive Exponents and Perfect Squares IDI Folder a. Recognize and describe patterns with exponents that are natural numbers, by using a calculator. b. Recognize and describe patterns of perfect squares not to exceed 20 2, by using grid paper, square tiles, tables, and calculators. c. Recognize powers of ten by examining patterns in a place value chart: 10 4 = 10,000, 10 3 = 1000, 10 2 = 100, 10 1 = 10, 10 0 =1. 6.8 Order of Operations a. Simplify expressions by using the order of operations in a demonstrated step-by-step approach. The expressions should be limited to positive values and not include braces { } or absolute value. 3 days Ongoing through the first 100 days of school Vocabulary Cards 3-6 5-8 100th Day Text: Ch 11.3-11.4; Ch 2.5 K-5 3-6 5-8 Text: Ch. 1; Ch. 2.6 StationExploration/ArcticAlgebra/P BrainPop- Exponents BrainPop- Square Roots You Tube- Patterns of perfect Squares You Tube- Powers of ten Video Rules for Order of Operations HCM-MegaMath NumberGames/TTTank/ B-C,F- G,L,R Order of Operations b. Find the value of numerical expressions, using order of operations, mental mathematics, and appropriate tools. Exponents are limited to positive values. BrainPop- Order of Operations refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 1

GRADING PERIOD: 1st Nine Weeks (continued) 6.19 Properties Review Prior Knowledge a. Identify a real number equation that represents each property of operations with real numbers, when given several real number equations. b. Test the validity of properties by using examples of the properties of operations on real numbers. Text: Ch.2.3-2.4 NumberGames/TTTank/ B-C,F-G,L,R StationExploration/ArcticAlgebra/U-W c. Identify the property of operations with real numbers that is illustrated by a real number equation. d. Recall the commutative, associative and distributive properties that were taught in previous grades. refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 2

1 5th Accelerated Math Pacing Guide GRADING PERIOD: 1st Nine Weeks (continued) 6.16 Probability of Dependent and Independent Events Review prior knowledge a. Determine whether two events are dependent or independent. b. Compare and contrast dependent and independent events. Text: Ch.26, Ch.27 HCM-MegaMath FractionAction/LastChance/A-L c. Determine the probability of two dependent events. d. Determine the probability of two independent events NLVM- Stick or Switch? Virtual Spinner refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 3

GRADING PERIOD: 1st Nine Weeks (continued) 6.17 Arithmetic and Geometric Sequences a. Investigate and apply strategies to recognize and describe the change between terms in arithmetic patterns. b. Investigate and apply strategies to recognize and describe geometric patterns. c. Describe verbally and in writing the relationships between consecutive terms in an arithmetic or geometric sequence. d. Extend arithmetic and geometric sequences in a table by using a given rule or mathematical relationship. 3-6 5-8 Text: Ch.14 NumberGames/Tiny sttank/j-k, T-V Spy Guys- Growing patterns Common Difference Tutorial Math is Fun- Common ratio e. Compare and contrast arithmetic and geometric sequences. Video Extending Patterns f. Identify the common difference for a given arithmetic sequence. g. Identify the common ratio for a given geometric sequence. Extra days for flexible time 9 days Nine Week Assessment Remediation and Enrichment Remediation Post Tests refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 4

GRADING PERIOD: 2 nd Nine Weeks 6.7 Single Step and Multi-Step Practical Problems with decimals Review Prior Knowledge a. Solve single-step and multistep practical problems involving addition, subtraction, multiplication and division with decimals expressed to thousandths with no more than two operations. 10 days Text: Ch.3, 4.1-4.2 Video Multi-Step Problem Solving FractionAction/NumberLine/M-R, V NumberGames/Buggy Bargains/ E-P Illuminations- Decimals Decimals refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 5

GRADING PERIOD: 2 nd Nine Weeks (continued) 6.2 Fractions, decimals and percents Review prior knowledge a. Identify the decimal and percent equivalents for numbers written in fraction form and repeating decimals. b. Represent fractions, decimals, percents on a number line. c. Describe orally and in writing the equivalent relationships among decimals, percents, and fractions with denominators that are factors of 100. d. Represent, by shading a grid, a fraction, decimal, and percent. e. Represent in fraction, decimal, and percent form a given shaded region of a grid. f. Compare two decimals through thousandths using manipulatives, pictorial representations, number lines, and symbols (<,,, >, =). g. Compare two fractions with denominators of 12 or less using manipulatives, pictorial representations, number lines, and symbols (<,,, >, =) h. Compare two percents using pictorial representations and symbols (<,,, >, =). i. Order up to 3 fractions(denominator to 12), decimals (thousandths), and percents,(ascending or descending) 7 days Text: Ch.7, Ch.8 HCM-MegaMath IceStationExploration/Arctic Algebra/O FractionAction/NumberLineMine/E- L,U FractionAction/FractionFlareUp/D-F NLVM Percent Grids Illuminations- Grid and Percent It Fraction, Decimal, Percent Pizza Applet Illuminations- Fun with fractions Illuminations- Decimals and percents Illuminations-Equivalent Fractions Illuminations-Fraction Game Number Line Illuminations- Sports Numbers refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 6

GRADING PERIOD: 6.1 Ratios 2 nd Nine Weeks (continued) a. Describe a relationship within a set by comparing part of the set to the entire set. b. Describe a relationship between two sets by comparing part of one set to a corresponding part of the other set. c. Describe a relationship between two sets by comparing all of one set to all of the other set. d. Describe a relationship within a set by comparing one part of the set to another part of the same set. e. Represent a relationship in words that makes a comparison by using the notations a, a:b, and a to b b 5th Accelerated Math Pacing Guide 10 days 3-6 5-8 Text: Ch.24.1 Video Ratios Spy Guys- Ratios Illuminations- Bean Counting and Ratios Video Fraction Computation f. Create a relationship in words for a given ratio expressed symbolically. Video Area Model for Multiplying Fractions 6.4 Multiplication and Division of Fractions a. Demonstrate multiplication and division of fractions using multiple representations. b. Model algorithms for multiplying and dividing with fractions using appropriate representations. 3-6 5-8 Video Models for Dividing Fractions FractionAction/FractionFlareUp/G-K NumberGames/Tiny sthinktank/w Illuminations- Fraction Models Text: Ch.9 refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 7

GRADING PERIOD: 2 nd Nine Weeks (continued) 6.4 Representations of Multiplication and Division of Fractions (continued) a. Demonstrate multiplication and division of fractions using multiple representations. b. Model algorithms for multiplying and dividing with fractions using appropriate representations. 5th Accelerated Math Pacing Guide 3-6 5-8 Text: Ch.9 VDOE Fraction Computation Video NLVM- Multiplying Fractions NLVM- Dividing Fractions Review SOL 5.6 -Addition and Subtraction of Fractions 6.6 Practical Problems with mixed numbers and fractions a. Multiply and divide with fractions and mixed numbers. Answers are expressed in simplest form. b. Solve single-step and multistep practical problems that involve addition and subtraction with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less. Answers are expressed in simplest form. c. Solve single-step and multistep practical problems that involve multiplication and division with fractions and mixed numbers that include denominators of 12 or less. Answers are expressed in simplest form. 10 days Text: Ch.10 Real Life Fractions Lesson Plan- Mangoes HCM-MegaMath FractionAction/FractionFlareUp/O-Q Video Multi-Step Problem Solving refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 8

GRADING PERIOD: 2 nd Nine Weeks (continued) Extra days for flexible time 3 days Nine Week Assessment Remediation Post Tests Remediation and Enrichment refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 9

GRADING PERIOD: 3 rd Nine Weeks 6.18 One-step linear equations a. Represent and solve a one-step equation, using a variety of concrete materials such as colored chips, algeblocks, or weights on a balance scale. b. Solve a one-step equation by demonstrating the steps algebraically. c. Identify and use the following algebraic terms : equation, variable, expression, term, and coefficient. 6.3 Integers modeling equations Text: Ch.12, Ch.13 HCM-MegaMath StationExploration/Arc.Algebra/A-B, F-I NLVM- Solving Equations Video Part I Integer Models, a. Identify an integer represented by a point on a number line. b. Represent integers on a number line. c. Order and compare integers using a number line. d. Compare integers, using mathematical symbols (<, >, =). e. Identify and describe the absolute value of an integer. 6.20 Graph Inequalities on a number line a. Given a simple inequality with integers, graph the relationship on a number line. b. Given the graph of a simple inequality with integers, represent the inequality two different ways using symbols (<, >, <, >). Text: Ch.28 Text: Ch.13.5 Video Part II Integer Models, FractionAction/NumberLineMine/S,T Spy Guys-Understanding Integers BrainPop-Absolute Value Inequalities BrainPop-Inequalities refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 10

GRADING PERIOD: 3 rd Nine Weeks (continued) 6.10 Relationships Between Parts of a Circle a. Derive an approximation for pi (3.14 or 22 7 ) by gathering data and comparing the circumference to the diameter of various circles, with concrete materials b. Find the circumference of a circle by substituting a value for the diameter or the radius into the formula C = d or C = 2 r. c. Find the area of a circle by using the formula A = r 2. e. Create and solve problems that involve finding the circumference and area of a circle when given the diameter or radius. 5th Accelerated Math Pacing Guide 7 days Text: Ch.22 HCM-MegaMath IceStationExploration/Polar Planes/P-S Illuminations- Apple Pi Illuminations-Computing Pi Illuminations-Geometry of Circles Illuminations- Apple Pi 2 6.13 Properties of Quadrilaterals Review Prior Knowledge a. Sort and classify polygons as quadrilaterals, parallelograms, rectangles, trapezoids, kites, rhombi, and squares based on their properties. Properties include number of parallel sides, angle measures and number of congruent sides. b. Identify the sum of the measures of the angles of a quadrilateral as 360. 4 days Text: Ch.16.4 Video Properties of Polygons -MegaMath IceStationExploration/Polar Planes/D- G Quadrilaterals Video NLVM- Draw Polygons Illuminations- Area refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 11

GRADING PERIOD: 3 rd Nine Weeks (continued) 5th Accelerated Math Pacing Guide 6.12 Congruence of Segments, Angles and Polygons Review prior knowledge a. Characterize polygons as congruent and noncongruent according to the measures of their sides and angles. b. Determine the congruence of segments, angles, and polygons given their attributes. 6 days 3-6 5-8 Text: Ch.17 IceStationExploration/Polar Planes/H-I NLVM- Congruent triangles c. Draw polygons in the coordinate plane given coordinates for the vertices. d. Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. NLVM- Drawing Polygons e. Solve practical and mathematical problems using congruence and coordinate plane drawings. refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 12

GRADING PERIOD: 3 rd Nine Weeks (continued) 6.10 Perimeter, Area and Surface Area Review Prior Knowledge d. Apply formulas to solve practical problems involving area and perimeter of triangles and rectangles. f. Solve problems that require finding the surface area of a rectangular prism, given a diagram of the prism with the necessary dimensions labeled. g. Solve problems that require finding the volume of a rectangular prism given a diagram of the prism with the necessary dimensions labeled. Text: Ch. 22 Video Measurement in Square Units Video Volume and Surface Area IceStationExploration/Polar Planes/P- S h. Provide experiences in deriving the formulas for area, perimeter, and volume using manipulatives such as tiles, one inch cubes, adding machine tape, graph paper, geoboards, or tracing paper, to promote an understanding of the formulas and facility in their use. refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 13

GRADING PERIOD: 3 rd Nine Weeks (continued) 6.11 Graphing on a Coordinate Plane a. Identify and label the axes of a coordinate plane. b. Identify and label the quadrants of a coordinate plane. c. Identify the quadrant or the axis on which a point is positioned by examining the coordinates (ordered pair) of the point. d. Graph ordered pairs in the four quadrants and on the axes of a coordinate plane. e. Identify ordered pairs represented by points in the four quadrants and on the axes of the coordinate plane. 2 days 3-6 5-8 Text: Ch. 30.1; Ch 30.5 IceStationExploration/Polar Planes/J- M Coordinate Graphing Applet BrainPop- Coordinate Graphing Billy Bug Coordinate Plane f. Relate the coordinates of a point to the distance from each axis and relate the coordinates of a single point to another point on the same horizontal or vertical line. NLVM- Point Plotter refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 14

GRADING PERIOD: 3 rd Nine Weeks (continued) Review Measurements (SOL 5.8 for SOL test) 6.9 Comparison of Measurements Between the Two Systems of Measurement a. Estimate the conversion of units of length, weight/mass, volume, and temperature between the U.S. Customary system and the metric system by using ballpark comparisons. Ex: 1 L 1qt.; 4L 4 qts. b. Estimate measurements by comparing the object to be measured against a benchmark. 5th Accelerated Math Pacing Guide 8 days Text: Ch 19 StationExploration/LinearLab/A-J NumberGames/Tiny sthinktank/ M-Q Illuminations- Measuring Up Illuminations- Gallon Man Extra days for flexible time 4 days Nine Week Assessment Remediation and Enrichment Remediation Post Tests refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 15

GRADING PERIOD: 4 th Nine Weeks Review All Graphs (bar, picture, picto-, line graphs, line plots, stem-and-leaf plots) (SOL 5.15) Text: Ch. 6 6.14 Circle Graphs a. Collect, organize and display data in circle graphs by depicting information as fractional. b. Draw conclusions and make predictions about data presented in a circle graph. c. Compare and contrast data presented in a circle graph with the same data represented in other graphical forms. Review Mean, Median, Mode, Range (SOL 5.16) 6.15 Measures of Center a. Find the mean for a set of data. b. Describe the three measures of center and a situation in which each would best represent a set of data. c. Identify and draw a number line that demonstrates the concept of mean as balance point for a set of data. 5 days 5 days Text: Ch.25.4 Text: Ch. 5, 6 NumberGames/ArachnaGraph/B-L Number Games/ Buggy Bargains/Q-T NLVM- Circle graphs Illuminations- Pie Chart Illuminations- Data grapher Illuminations- Circle Graphs Video Mean as Fair Share Video Mean as Balance Point BrainPop_ Mean Video Mean as a Balance Point Ruler Balance Point Review for SOL Test 33 days left of school Remediation Post Tests refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 16

refers to the Harcourt Math Center and Mega Math Mulligan math resources Teacher Direct Rev. 5-24-13 17