Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk)

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Hillary Cain
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1 Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk) Teacher focus groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum. It is recommended that teachers stay as close as possible to the pacing guidelines to ensure that all of the have been taught prior to the SOL Test, and that, as students move within the Division, their math instruction remains consistent. Ongoing review should occur throughout the year. Teachers may find the full wording of the objectives, along with the essential knowledge and skills to be learned, in the Unit Plans. These documents are available on the Math Web site at Unit plans created by the Teacher Focus Groups provide suggestions for learning experiences as well as resources to support instruction. (11 days) Unit 1: Number Sense Describe and compare data, using ratios with appropriate notation. Describe fractions, decimals and percents as ratios Identify a given fraction, decimal or percent from a representation. Demonstrate equivalent relationships among fractions, decimals and percents. Compare and order fractions, decimals and percents. Identify and represent integers on a number line. (7 days) Unit 2: Intro to Integers 6.3 Order and compare integers. Identify and describe absolute value of integers. Demonstrate absolute value using a number line. 7.1e Determine the absolute value of a rational number. Identify the coordinates of a point in a coordinate plane. Graph ordered pairs in a coordinate plane Identify and describe the axes and quadrants of a coordinate plane.

2 (11 days) Unit 3: Exponents, Scientific Notation and Order of Operations Investigate and describe patterns of positive exponents and perfect squares. Recognize powers of ten with positive exponents by examining patterns. 6.5 Recognize powers of ten with negative exponents by examining patterns. 7.1 Write a power of 10 with a negative exponent in fraction and decimal Form. Recognize or write a number greater than zero in scientific notation without the use of a calculator. Compare, order, and determine equivalent relationships among fractions, decimals, and percents including rational numbers and numbers in scientific notation. Determine the square root of a perfect square less than or equal to 400. Evaluate whole number expressions using order of operations and without a calculator. 6.8 (13 days) Unit 4: Integer Operations Model addition, subtraction, multiplication and division of integers using pictorial representations of concrete manipulatives. 7.3 Add, subtract, multiply and divide integers, and simplify the expressions. (15 days) Unit 5: Fractions Demonstrate multiple representations of multiplication and division of fractions. Multiply and divide fractions and mixed numbers without calculators a

3 (12 days) Unit 6: Problem solving Estimate solutions and then solve single-step and multi-step practical problems involving addition, subtraction, multiplication, and division of fractions. Estimate solutions and then solve single-step and multi-step practical problems involving addition, subtraction, multiplication, and division of decimals. Solve practical problems involving operations with rational numbers expressed as integers, fractions (proper and improper), mixed numbers, and decimals. 6.6b (15 days) Unit 7: Solving Equations Investigate and recognize a. Identity properties of addition and multiplication b. Multiplicative property of zero c. Inverse property for multiplication Represent and solve a one-step equation using concrete materials Solve algebraically one-step linear equations in one variable with whole number coefficients and positive rational solutions. Represent and demonstrate steps for solving one-step and two-step equations in one variable using concrete materials, pictorial representations, and algebraic sentences. 7.14a Solve one-step and two-step linear equations in one variable.

4 Graph a simple inequality on the number line. (10 days) Unit 8: Solving Inequalities 6.20 Given the graph of an inequality, represent the inequality two different ways using inequality symbols. Represent and demonstrate steps in solving inequalities in one variable using concrete materials, pictorial representations, and algebraically Graph solutions to inequalities on a number line. Identify a numerical value that satisfies the inequality. Solve two-step inequalities, including practical problems (8 days) Unit 9: Polygons Determine congruence of segments, angles, and polygons Draw polygons in the coordinate plane given coordinates for the vertices. Describe and identify properties of quadrilaterals Sort and classify polygons as quadrilaterals, parallelograms, rectangles, trapezoids, kites, rhombi, and squares based on their properties. Identify the classification(s) to which a quadrilateral belongs, using deductive reasoning and inference. 7.7 Compare and contrast attributes of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid.

5 (16 days) Unit 10: Measurement Define pi (π) as the ratio of the circumference of a circle to its diameter Solve practical problems involving circumference and area of a circle, given the diameter or radius. Solve practical problems involving area or perimeter of triangles, parallelograms and trapezoids. Describe and determine the volume and surface area of a rectangular prism. Estimate the conversion of measurements of the U.S. Customary System and measurements on the metric system by using ballpark comparisons. 6.9 Describe mean as balance point. (13 days) Unit 11: Statistics 6.15 Identify and draw a number line that demonstrates the concept of mean as a balance point for a set of data. Decide which measure of center is appropriate for a given purpose. Collect, organize and display data in circle graphs by depicting information as fractional parts Draw conclusions, make predictions using circle graphs. Compare and contrast graphs that present information from the same data set. Given a data set, construct and analyze a histogram making conjectures and predictions Compare and contrast histograms with line plots, circle graphs, and stem and leaf plots using the same data set.

6 (10 days) Unit 12: Investigating Probability Compare and contrast dependent and independent events Determine probabilities for dependent and independent events. Compute the number of possible outcomes by using the Fundamental (Basic) Counting Principle Determine the probability of a compound event containing no more than two events. (15 days) Unit 13: Patterns Identify and extend geometric and arithmetic sequences Analyze arithmetic and geometric sequences to discover a variety of patterns. Describe and represent, arithmetic and geometric sequences using variable expressions Represent a proportional relationship between two quantities, including those arising from practical situations Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table. Determine whether a proportional relationship exists between two quantities. Make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

Algebra 1 Prince William County Schools Pacing Guide (Crosswalk)

Algebra 1 Prince William County Schools Pacing Guide 2017-2018 (Crosswalk) Teacher focus groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum.