Pacing+Guide


 * Decatur City Schools**
 * Pacing Guide/IB**
 * Middle School**
 * Math Pre-Algebra/Algebra I**
 * 8th Grade**

|| || || || || || || || || || || || || || Aug. 14 -Sept. 15 || Unit: GQ:
 * Timeline**
 * Timeline**
 * Unit Outline**
 * COS**
 * Prerequisite Skills**
 * IB**
 * Objective**
 * ARMT**
 * AHSGE**
 * ARMT Blueprints**
 * SAT 10**
 * IB**
 * AOI’s**
 * Resources**
 * Date Taught**
 * Assess Date**
 * Vocabulary**
 * Comments**

Unit Concepts: - - - -

|| Using alternative representations of rational numbers (5-2; 6-4)
 * Pre- Algebra**
 * ALCOS Standard 1 Use various strategies and operations to solve problems involving real numbers**

Applying GCF, LCM and prime and composite numbers including justification for the reasonableness of results when working with rational numbers (4-4; 5-6; 4-3)

Applying proportional reasoning (6-1;6-2)

Using vocabulary associated with sets including union and intersection (supplementary materials)

Determining whether a number is rational or irrational (5-2)

Demonstrating computational fluency with operations on rational numbers (5-3; 5-4; 5-5; 6-4)


 * ALCOS Standard 2 Simplify expressions containing natural number exponents by applying one or more of the laws of exponents** **(4-2;4-5;4-6)**

Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents Writing the solution of an equation or inequality in set notation Graphing the solution of an equation or inequality Modeling real world problems by developing and solving equations and inequalities including those involving direct and inverse variation || 8.1.1 8.1.2
 * Algebra I**
 * ALCOS Standard 1 Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form or decimal approximations**
 * ALCOS Standard 7 Solve multistep equations and inequalities including linear, radical, absolute value and literal equations**

8.2.1 || NI a1 NI a6 NII a1 NII a5-6 NII a8-10 AII a3 AII a7-9 || I-1

II-1 ||

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|| Pre-Algebra Textbook And supplemental materials on teacher discretion

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|| Sept. 18-22 Assess ALCOS Standard 1

Take the Pre Algebra Assessment

|| Reading to Learn Math ||

|| Sept. 18 - Oct. 20 || Unit: GQ:

Unit Concepts: - - - -

|| =Pre Algebra=
 * ALCOS Standard 2 Simplify expressions containing natural number exponents by applying one or more of the laws of exponents**

Applying the substitution principle (1-3)
 * ALCOS Standard 3 Use order of operations to evaluate and simplify algebraic expressions**

Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions (3-1; 3-2)


 * ALCOS Standard 6 Solve multistep linear equations requiring the use of the distributive property** **(3-5;7-1;7-2)**

Finding the range of a function when given its domain Finding the slope of a line from its equation or by applying the slope formula Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs or ordered pairs Graphing two variable linear equations and inequalities on the Cartesian plane || 8.2.1
 * Algebra I**
 * ALCOS Standard 3 Determine characteristics of a relations, including its domain, range and whether it is a function when given graphs, tables of values, mappings or sets of ordered pairs**
 * ALCOS Standard 2 Analyze linear functions from their equations slopes and intercepts**

8.3.1 8.3.2

8.6.1 8.6.2 8.6.3 8.6.4 || AI a3-4 AI a7-9 ||

I-1

II-1

III-2

IV-2

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|| Oct. 23-27 Assess ALCOS Standards 2, 3 and 6

Take the Pre-Algebra Assessment || Reading to Learn Math ||

|| Oct. 23 - Nov. 21 || Unit: GQ:

Unit Concepts: - - - -

|| =Pre Algebra= Determining slopes and y intercepts of lines (8-3;8-4; 8-6)
 * ALCOS Standard 4 Graph linear relations by plotting points or by using the slope and y intercept**

Calculating the slope of a linear relation given as a table or graph (8-4; 8-5)

Exhibiting conceptual understanding of various uses of variables (8-7)

Identifying functions from information in tables, sets of ordered pairs, equations, graphs and mappings (8-1) Determining the rule that defines a function (8-7)
 * ALCOS Standard 5 Solve problems involving linear functions**

Classifying variables in a function as independent or dependent ( Algebra Book 1-8)

Classifying relations as linear or nonlinear by examining tables, graphs or simple equations (8-1) =Algebra I= Modeling real world problems by developing and solving systems of linear equations and inequalities Dividing by a monomial
 * ALCOS Standard 8 Solve systems of linear equations and inequalities in two variables graphically or algebraically**
 * ALCOS Standard 5 Perform operations of addition, subtraction and multiplication on polynomial expressions (with monomials only)**

|| 8.4.1 8.4.2 8.4.3

8.5.1 8.5.2 || NII a4 AI a 1&5 AII a7-9 || V-1,4

II-3

II-3

I-2 I-3 ||

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|| Nov. 27-Dec. 1 Assess ALCOS Standards 4 and 5

Take Pre Algebra Assessment

|| Reading to Learn Math ||

|| Nov. 27 - Jan. 12 || Unit: GQ:

Unit Concepts: - - - -

|| =Pre Algebra= Applying the Triangle Inequality Theorem (9-5)
 * ALCOS Standard 7**
 * Solve problems using the Pythagorean Theorem**

Verifying the Pythagorean Theorem (9-5)

Applying the Pythagorean Theorem to determine if a triangle is a right triangle (9-5)

Applying the Pythagorean to find the missing length of a side of a right triangle (9-5)

Calculating distances in the coordinate plane using the Pythagorean Theorem (9-6)


 * Complete before Christmas**

Developing mathematical arguments about the relationships among types of quadrilaterals and triangles (9-4,10-4) Identifying angle bisectors, perpendicular bisectors, congruent angles and congruent figures (10-1; 10-2)
 * ALCOS Standard 8 Compare quadrilaterals, triangles and solids using their properties and characteristics**

Constructing congruent and similar polygons, congruent angles, congruent segments and parallel and perpendicular lines (10-2 and supplementary materials)

=Algebra I= Approximating solutions graphically and numerically || 8.7.1 8.7.2 8.7.3
 * ALCOS Standard 6 Factor binomials, trinomials and other polynomials using GCF, differences of squares, perfect square trinomials and grouping**
 * ALCOS Standard 9 Solve quadratic equations using the zero product property**

8.8.1 8.8.2 8.8.3 || GI a3&7 GII a1 GII a5-8 AII a7-9 || VII-2

VII-4

I-4

II-2 ||

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|| Jan. 15-19 Assess ALCOS Standards 7 and 8

Take the Pre Algebra Assessment || Reading to Learn Math ||

|| Jan. 15 - Feb. 16 || Unit: GQ:

Unit Concepts: - - - -

|| =Pre Algebra= (10-1;supplementary materials) (10-5; 10-8) Estimating surface area and volume of solid figures (11-2; 11-3; 11-4; 11-5)
 * ALCOS Standard 9 Determine the measures of special angle pairs, including adjacent, vertical, supplementary and complementary angles and angles formed by parallel lines cut by a transverse**
 * ALCOS Standard 10 Find the perimeter and area of regular and irregular plane figures**
 * ALCOS Standard 11 Determine the surface area and volume of rectangular prisms, cylinders and pyramids**

Determining the appropriate units of measure to describe surface area and volume (11-2; 11-3; 11-4; 11-5)

Developing formulas for determining surface area and volume of rectangular prisms, cylinders and pyramids (11-2; 11-3; 11-4; 11-5) =Algebra I= Determining effects of linear transformation of data Determining effects of outliers Evaluating the appropriateness of the design of a survey || 8.9.1 8.9.2 8.9.3
 * ALCOS Standard 12 Compare various methods of data reporting including scatter plots, stem and leaf plots, histograms, box and whisker plots and line graphs to make inferences or predictions**
 * ALCOS Standard 13 Identify characteristics of a data set, including measurement or categorical and univariate or bivariate**
 * ALCOS Standard 14**
 * Use a scatter plot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data including positive, negative or no relationship**

8.10.1 8.10.2

8.11.1 8.11.2 8.11.3 || AII a7-9 GI a1-2 GI a6 GII a1-2 GII a6-8 ||

IV-1 IV-1

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|| Feb. 19-23 Assess ALCOS Standards 9, 10 and 11

Take the Pre Algebra Assessment || Reading to Learn Math ||

|| Feb. 19 - March 16 || Unit: GQ:

Unit Concepts: - - - -

|| =Pre Algebra= Applying proportional reasoning (6-1;6-2)
 * ALCOS Standard 12**
 * Determine the lengths of missing sides and measures of angles in similar and congruent figures**

Using dilations on the coordinate plane to determine measures of similar figures (10-3)

Finding the ratios of the perimeters and areas of similar triangles, trapezoids and parallelograms (9-7, supplementary materials)


 * ALCOS Standard 13 Interpret data from populations using given and collected data**

Representing the data with the most appropriate graph, including box and whisker plot, circle graph and scatter plot (1-7; 12-1, 12-3, and supplementary materials)

Making predictions by estimating the line of best fit from a scatter plot (8-8)

Comparing data sets involving two populations (supplementary materials)

Determining the measure of center that is the most appropriate for a given situation (5-8)

Calculating the probability of complementary events and mutually exclusive events(6-9)
 * ALCOS Standard 14 Determine the theoretical probability of an event**

Comparing experimental and theoretical probability (6-9)

Computing the probability of two independent events and two dependent events (12-9)

Determining the probability of an event through simulation (supplementary materials with graphing calculator) =Algebra I= Applying formulas to solve word problems Comparing theoretical and experimental probabilities Review Pre Algebra Applying the Triangle Inequality Theorem Verifying the Pythagorean Theorem Applying the Pythagorean Theorem to determine if a triangle is a right triangle Applying the Pythagorean Theorem to find the missing length of a side of a right triangle Calculate distances on the coordinate plane using the Pythagorean Theorem || 8.12.1 8.12.2
 * Review for ARMT**
 * ALCOS Standard 11**
 * Solve problems algebraically that involve area and perimeter of a polygon, area and circumference of a circle and volume and surface area of right circular cylinders or right rectangular prisms**
 * ALCOS Standard 15 Estimate probabilities given data in lists or graphs**
 * ALCOS Standard 7 Solve problems using the Pythagorean Theorem**

8.13.1 8.13.2

8.14.1 8.14.2 8.14.3 8.14.4

8.7.1 8.7.2 8.7.3 || AII a6-9 GI a 5 GII a4 SI a3 SI a6 SI a7 SII a1-8 ||

VII-6

IV-1

VII-2 ||

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|| March 26-30 Assess ALCOS Standards 12, 13 and 14

Take the Pre Algebra Assessment || Reading to Learn Math ||

|| April || Unit: GQ:

Unit Concepts: - - - -

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|| NII a8-10 AII a7-9 DI a1 DII a1

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|| May || Unit: GQ:

Unit Concepts: - - - -

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|| NII a8-10 AII a7-9 AI a8 ||

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