Math Course 2 Pacing Guide

Quarter 1

Quarter 2

Quarter 3

Quarter 4

6^th grade skills review:

6.3

6.6

6.22 (exponents)

Number/Number Sense

7.1, 7.2, 7.3

Computation/Estimation

7.4, 7.6

Measurement

7.7, 7.8

Geometry

7.11

Geometry

7.9, 7.10, 7.12, 7.13

Probability and Statistics

7.14, 7.15, 7.16, 7.17, 7.18

Patterns, Functions, and Algebra

7.19, 7.20, 7.21, 7.22

Quarter 1

6.3 The student will

a) find common multiples and factors, including least common multiple and greatest common factor;

b) identify and describe prime and composite numbers; and identify and describe the characteristics of even and odd integers.

6.6 The student will

a) solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and

b) find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit.

6.22 The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

10 days

Glencoe: Course I

· Lesson 5-1

· Lesson 5-4

· Lesson 6-3,4,5,6

· Lesson 7-2,3,4,5

· Lesson 1-2,3,4

· Lesson 4-1

Glencoe: Course II

· Lesson 11-1

Enhanced Scope and Sequence: 6^th grade

· Sieve of Erastosthenes

· Squares and Square Roots

GCF
LCM
Prime
Composite
Even
Odd
Factor
Multiple
Mixed number
Improper fraction
Numerator
Denominator
Dividend
Divisor
Quotient
Base
Exponent
Power

7.1 The student will compare, order, and determine equivalent relationships between fractions, decimals, and percents, including use of scientific notation for numbers greater than 10.

*7.1   The student will
          a) investigate and describe the concept of negative exponents for power of ten;
          b) determine scientific notation for numbers greater than zero;
          c) compare and order fractions, decimals, percents and numbers written in scientific notation;
          d) determine square roots; and
          e) identify and describe absolute value for rational numbers.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

10 days

2008 – Question # 8, 10, 11, 12

Glencoe

· Lesson 1-9

· Lesson 5-4,5,6,8

· Lesson 7-5,6

Enhanced Scope and Sequence

· Fractions, Decimals, and Percents

· Comparing fractions, decimals, and percents

· Scientific Notation

· How far is it to the Sun? (6^th)

Scientific notation
Equivalent
Percent

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

5 days

2008 – Question # 7

Glencoe

· Lesson 3-4,5,6,7

Enhanced Scope and Sequence

· Integers

· Integers: Addition and Subtraction

· Integers: Multiplication and Division

· Integers Game

integer

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

5 days

2008 – Question # 14

Glencoe

· Lesson 1-3

Enhanced Scope and Sequence

Order of Operations

Rational number
PEMDAS
Operation

7.3 (*7.16a, b, c, d, e) The student will identify and apply the following properties of operations with real numbers:

a) the commutative and associative properties for addition and multiplication;

b) the distributive property;

c) the additive and multiplicative identity properties;

d) the additive and multiplicative inverse properties; and

e) the multiplicative property of zero.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

5 days

2008 – Question # 9, 13

Glencoe

· Lesson 1-6

· Lesson 3-4,6

· Lesson 6-5

Enhanced Scope and Sequence

Properties of Real Numbers

Commutative
Associative
Distributive
Additive
Multiplicative
Inverse
Identity
Property

7.4 The student will

a) solve practical problems using rational numbers (whole numbers, fractions, decimals) and percents; and

b) solve consumer-application problems involving tips, discounts, sales tax, and simple interest.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

20 days

2008 – Question # 1, 2, 3, 4, 5, 6, 16, 21

Glencoe

· Lesson 7-3,4,8

· Lesson 10-6

· Lesson 7-7

· Lesson 8-1b,5,6

Enhanced Scope and Sequence

· Ratio and Proportions

· Proportions and Percents

· Similar Figures

· Similar Figures and Proportion

· Animal Count (6^th)

· Discounts, Tips, Sales Tax, and Simple Interest

Proportion
Ratio
Scale drawing
Tip
Discount
Sales tax
Simple interest
Principle
Rate
Time

7.7 The student, given appropriate dimensions, will

a) estimate and find the area of polygons by subdividing them into rectangles and right triangles; and

b) apply perimeter and area formulas in practical situations.

7.8 (*7.5a, b) The student will investigate and solve problems involving the (*describe) volume and surface area of rectangular prisms and cylinders, using concrete materials and practical situations to develop formulas.

*7.5 The student will
c) describe how changing one measured attribute of a rectangular prism affects its volume and surface area.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

20 days

2008 – Question # 17, 22, 25, 26

Glencoe

· Lesson 6-8

· Lesson 11-4,5,6,7

· Lesson 12-2,3,4,5

Enhanced Scope and Sequence

· Area/Perimeter of Rectangles and Triangles

· Perimeter and Area

· Circumference vs Diameter (6^th)

· Finding Pi (6^th)

· Surface: Rectangular Prisms and Cylinders

· Surface area and Volume

· 3D Nets (6^th)

· Nets to 3D (6^th)

Polygon
Area
Perimeter
Circumference
Diameter
Radius
Pi
Surface area
Volume
Cylinder
Prism
Pyramid

7.16 The student will create and solve problems involving the measures of central tendency (mean, median, mode) and the range of a set of data.

7.17 The student, given a problem situation, will collect, analyze, display, and interpret data, using a variety of graphical methods, including

a) frequency distributions;

b) line plots;

c) histograms;

d) stem-and-leaf plots;

e) box-and-whisker plots; and

f) scattergrams.

7.18 The student will make inferences, conjectures, and predictions based on analysis of a set of data.

*7.11    The student, given data in a practical situation, will
             a) construct and analyze histograms;
             b) compare and contrast histograms with other types of graphs presenting information from the same data set.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

15 days

2008 – Question # 28, 29, 31, 33, 34, 36, 37

Glencoe

· Chapter 2

Enhanced Scope and Sequence

· Grab a Handful

· Drops on a Penny

· Box it up

· Marketing with Scattergrams

Central tendency
Mean
Median
Mode
Range
Frequency
Line plot
Histograms
Stem and leaf plot
Box and whisker plot
Scattergrams
Inference
Predict

7.14 (*7.9) The student will investigate and describe the difference between the probability (*experimental probability) of an event found through simulation versus the theoretical probability of that same event.

7.15 (*7.10) The student will identify and describe the number of possible arrangements of several objects (*compound events), using a tree diagram or the Fundamental (Basic) Counting Principle.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

20 days

2008 – Question # 27, 30, 32, 35, 38

Glencoe

· Lesson 9-2,3,4,5,6

Enhanced Scope and Sequence

· Probable Families

· Regatta Probability

· Creating Tree Diagrams

Experimental probability
Theoretical probability
Sample space
Outcome
Fundamental counting principle
Tree diagram

7.9 (*7.7) The student will compare and contrast the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid. Deductive reasoning and inference will be used to classify quadrilaterals.

7.10 The student will identify and draw the following polygons: pentagon, hexagon, heptagon, octagon, nonagon, and decagon.

7.12 The student will identify and graph ordered pairs in the four quadrants of a coordinate plane.

7.13 (*7.8) The student, given a polygon in the coordinate plane, will represent transformations — rotation and translation (*reflections and dilations) — by graphing the coordinates of the vertices of the transformed polygon and sketching the resulting figure.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

10 days

2008 – Question # 15, 19, 23, 24

Glencoe

· Lesson 10-5,7,8,9b

· Lesson 3-3

Enhanced Scope and Sequence

· Quadrilaterals

· Identifying Polygons

· Graphing

· Translation and Rotation

Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Quadrant
Coordinate plane
Ordered pair
Transformation
Rotation
Translation
Vertices

7.19 (*7.12) The student will represent, analyze, and generalize a variety of patterns, including arithmetic sequences and geometric sequences, with tables, graphs, rules, and words in order to investigate and describe functional relationships.

7.20 (*7.13a) The student will write verbal expressions as algebraic expressions and sentences as equations.

7.21 The student will use the following algebraic terms appropriately: equation, inequality, and expression.

7.22 (*7.14a, b 7.15a, b) The student will

a) solve one-step (*two-step) linear equations and inequalities in one variable with strategies involving inverse operations and integers, using concrete materials, pictorial representations, and paper and pencil; and

b) solve practical problems requiring the solution of a one-step linear equation.

*7.13 The student will
b) evaluate algebraic expressions for given replacement values of the variables.

Length

Released Test Items

Related Resources

Key Assessment Vocabulary

15 days

2008 – Question # 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50

Glencoe

· Lesson 1-4,5,7

· Lesson 3-6a

· Lesson 4-1,2,3,5,6a,6

Enhanced Scope and Sequence

· Patterns, Functions and Graphing

· Expressions and Equations

Arithmetic
Geometric
Function rule
Expression
Equation
Inequality
Term
Variable
Coefficient
Inverse operation

The Bridge To Excellence!