Pacing Guide

8th Grade Mathematics

Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
August
Q1W1 / S1C3.PO1 – Make estimates appropriate to a given situation / Galileo
CA-A / *Front End Estimation
*Leading Digit
*Decimal
*Place Value
*Fraction
*Percent / McDougal Littell Text Book
Decimal Operations
5.6 & 5.7
7.4
August Q1W2 / S1C3.PO1 – Make estimates appropriate to a given situation / Galileo
CA-B / *Order of Operations
*Like Terms
*Numerator
*Denominator
*Least Common Denominator
*Reciprocal
*Multiplicative Inverse / McDougal Littell Text Book
Fractions + - × ÷
5.1
5.2
5.3
5.4
August Q1W3 / S1C3.PO1 – Make estimates appropriate to a given situation
S1C1.PO2 – Classify real numbers as rational or irrational
S1C1.PO3 – Model the relationship between the subsets of the real number system
S1C1.PO1 – Compare and order real numbers including very large and small integers and decimals and fractions close to zero
S1C3.PO2 – Estimate the location or rational and common irrational numbers on a number line / CA-C / *Integers
*Negative Integers
*Positive Integers
*Absolute Value
*Opposites
*Common Denominator
*Rational Number
*Whole Number
*Natural Number
*Terminating Decimal
*Repeating Decimal
*Irrational Number
*Pi
*Real Numbers / McDougal Littell Text Book
2.1
4.5
5.5
9.2
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
August/ September Q1W4 / S1C2.PO5 – Simplify numerical expressions using the order of operations that include grouping symbols, square roots, cube roots, absolute values and positive exponents
S1C1.PO4 – Model and solve problems involving absolute value / CA-D / *Numerical Expression
*Evaluate
*Order of Operations
*Verbal Model
*Power
*Exponent
*Base
*Square Root
*Perfect Square
*Radical Expression
*Integer
*Negative Integer
*Positive Integer
*Absolute Value
*Opposites / McDougal Littell Text Book
1.2
1.4
2.1 – Absolute Value
4.6
9.1
September
Q1W5 / S1C2.PO4 – Convert standard notation to scientific notation and vice versa (include positive and negative exponents) / No School Monday
CA-E / *Scientific Notation
*Standard Notation
*Positive Exponent
*Negative Exponent
*Zero Exponent / McDougal Littell Text Book
4.7
4.8
September
Q1W6 / S1C2.PO1 – Solve problems with factors, multiples, divisibility or remainders, prime numbers, and composite numbers / CA-F / *Prime Factorization
*Factor Tree
*Prime Number
*Composite Number
*Monomial
*Factor
*Common Factor
*Greatest Common Factor
*Relatively Prime
*Simplest Form
*Equivalent Fractions
*Multiple
*Common Multiple
*Least Common Multiple
*Divisibility / McDougal Littell Text Book
4.1
4.2
4.3
4.4
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
September
Q1W7 / S3C3.PO2 – Evaluate an expression containing variables by substituting rational numbers for the variables
S3C3.PO1 – Write or identify algebraic expressions, equations, or inequalities that represent a situation / CA-G / *Variable
*Variable Expression
*Equation
*Solution
*Solving an Equation
*Inequality / McDougal Littell Text Book
1.3
1.5
6.6
September/ October
Q1W8 / S3C3.PO3 – Analyze situations, simplify and solve problems involving linear equations and inequalities using the properties of the real number system (add/subtract one-step equations) / CA-H / *Integer
*Absolute Value
*Additive Identity
*Additive Inverse
*Sum
*Opposite
*Difference
*Equivalent Equations
*Inverse Operations / McDougal Littell Text Book
2.2
2.3
3.1
October
Q1W9 / S1C2.PO2 – Describe the effect of multiplying and dividing a rational number by a number less than zero, a number between zero and one, one, and a number greater than one
S3C3.PO3 – Analyze situations, simplify and solve problems involving linear equations and inequalities using the properties of the real number system (multiply/divide one-step equations) / Thursday – Early Release
Friday – No School
CA-I / *Integer
*Multiplicative Identity
*Product
*Quotient
*Numerator
*Denominator
*Equivalent Equations
*Inverse Operations / McDougal Littell Text Book
2.4
2.5
3.2
October / Fall Break / Break
October
Q2W1 / S3C3.PO3 – Analyze situations, simplify and solve problems involving linear equations and inequalities using the properties of the real number system (Recall one-step equations and solve two-step equations) / CA-J / *Distributive Property
*Terms
*Like Terms
*Coefficients
*Constant Term
*Two-Step Equation
*Equation
*Solution
*Multi-Step Equation / McDougal Littell Text Book
2.7
3.3
3.4
6.1
Show problem with fractions & decimals
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
October
Q2W2 / S3C3.PO5 – Graph an inequality on a number line / CA-K / *Inequality
*Solution of an Inequality
*Equivalent Inequality
*Distributive Property
*Like Terms
*Greater Than
*Less Than
*Greater Than or Equal to
*Less Than or Equal to / McDougal Littell Text Book
3.6
3.7
6.5
November
Q2W3 / S3C2.PO4 – Identify function as linear or nonlinear and contrast distinguishing properties of functions using equations, graphs, or tables
S3C2.PO2 – Determine if a relationship represented by a graph or table is a function
S3C3.PO4 – Translate between different representations of linear equations using symbols, graphs, tables or written descriptions
S3C2.PO3 – Write the rule for a simple function using algebraic notation / CA-L / *Coordinate Plane
*x-axis (horizontal axis)
*y-axis (vertical axis)
*Origin
*Quadrant
*Ordered Pair
*x-coordinate
*y-coordinate
*Relation
*Input
*Output
*Input/Output Table
*Function
*Domain
*Range
*Solution of an Equation in Two Variables
*Function Notation
*Vertical Line Test
*Linear
*Non-Linear / McDougal Littell Text Book
2.8
11.1
11.3
13.5
November
Q2W4 / S3C1.PO1 – Recognize describe, create, and analyze numerical and geometric sequences using tables, graphs, words, or symbols; make conjectures about these sequences
S3C2.PO1 – Sketch and interpret a graph that models a given context describe a context that is modeled by a given situation / No School Thursday
CA-M / *Linear Equation
*Horizontal
*Vertical
*Undefined / McDougal Littell Text Book
11.4
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
November
Q2W5 / S4C3.PO2 – Use the Pythagorean Theorem to find the distance between two points in the coordinate plane
S4C1.PO4 – Use the Pythagorean Theorem to solve problems
S5C2.PO13 – Verify the Pythagorean Theorem using a valid argument / CA-N / *Pythagorean Theorem
*Leg
*Hypotenuse
*Converse
*Distance
*Square Root
*Square / McDougal Littell Text Book
9.3 (w/ Investigation)
9.4
November
Q2W6 / S4C3.PO1 – Make and test a conjecture about how to find the midpoint between any two points in the coordinate plane / No School Wednesday, Thursday, Friday / *Midpoint
*Coordinate
November/ December
Q2W7 / S3C4.PO1 – Interpret the relationship between a linear equation and its graph, identifying and computing slope and intercepts
S3C2.PO5 – Demonstrate that proportional relationships are linear using equations, graphs, or tables (direct variation and slope) / CA-O / *Slope
*Rise
*Run
*x-intercept
*y-intercept
*Proportion
*Linear
*Direct Variation / McDougal Littell Text Book
11.5
11.6 (w/ Extension)
December
Q2W8 / S3C4.PO1 – Interpret the relationship between a linear equation and its graph, identifying and computing slope and intercepts (graphing using intercepts and slope-intercept form)
S5C2.PO12 – Make, validate, and justify conclusions and generalizations about linear relationships / Galileo
CA-P / *Slope Intercept Form
*y-intercept
*Slope
*Linear Equation / McDougal Littell Text Book
11.7 (w/ Investigation)
December
Q2W9 / S5C2.PO10 – Solve logic problems involving multiple variables conditional statements, conjectures, and negation using words, charts, and pictures / Galileo
CA-Q / *Conditional Statement
*Conjecture
*Negation
*Logic Problem
December / Winter Break / Break
December / Break
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
January
Q3W1 / S2C2.PO1 – Determine theoretical and experimental conditional probabilities in compound probability experiments
S2C2.PO3 – Use all possible outcomes (sample space) to determine the probability of dependent and independent events
S2C2.PO2 – Interpret probabilities within a given context and compare the outcome of an experiment to predictions made prior to performing the experiment / CA-R / *Outcome
*Event
*Favorable Outcome
*Probability of an Event
*Theoretical Probability
*Experimental Probability
*Sample Space
*Complementary Events
*Unfavorable Outcome
*Odds
*Compound Event
*Independent Event
*Dependent Event / McDougal Littell Text Book
7.8
12.7
12.8
January
Q3W2 / S2C3.PO1 – Represent, analyze, and solve counting problems with or without ordering and repetitions
S2C3.PO2 – Solve counting problems and represent counting principles algebraically including factorial notation / CA-S / *Tree Diagram
*Permutation
*Factorial
*Combination
* Counting Principle
*Sample Space / McDougal Littell Text Book
12.4
12.5
12.6
January
Q3W3 / S2C4.PO1 – Use directed graphs to solve problems / No School Monday, Tuesday
CA-T / *Directed Graph
*Vertex-Edge Graph
January
Q3W4 / S4C1.PO1 – Identify the attributes of circles: radius, diameter, chords, tangents, secants, inscribed angles, central angles, intercepted arcs, circumference, and area / CA-U / *Center
*Radius
*Diameter
*Chords
*Tangent
*Secants
*Inscribed Angles
*Central Angles
*Intercepted Arcs
*Pi
*Circumference
*Area / McDougal Littell Text Book
6.4
10.2
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
January/ February
Q3W5 / S4C4.PO3 – Calculate the surface area and volume of rectangular prisms, right triangular prisms, and cylinders
S4C1.PO2 – Predict results of combining, subdividing, and changing shapes of plane figures and solids / CA-V / *Base
*Height
*Parallelogram
*Trapezoid
*Solid
*Prism
*Cylinder
*Pyramid
*Cone
*Sphere
*Edge
*Vertex
*Face
*Net
*Surface Area
*Volume
*Area
*Perimeter
*Formula / McDougal Littell Text Book
3.5
10.1
10.3
10.4
10.6
1.6 – area
February
Q3W6 / S4C2.PO1 – Model the result of rotations in multiples of 45 degrees and of a 2-dimensional figure about the origin
S4C2.PO2 – Describe the transformations that create a given tessellation
S4C2.PO3 – Identify lines of symmetry in plane figures or classify types of symmetries of 2-dimensional figures / CA-W / *Reflection
*Transformation
*Image
*Line Symmetry
*Translation
*Rotation
*Tessellation / McDougal Littell Text Book
8.6
8.7 (w/ Extension)
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
February
Q3W7 / S2C1.PO4 – Determine whether information is represented effectively and appropriately given a graph or set of data by identifying sources of bias and compare and contrast the effectiveness of different representations of data
S2C1.PO2 – Make inferences by comparing the same summary statistic for two or more data sets
S2C1.PO3 – Describe how the summary statistics relate to the shape of the distribution
S2C1.PO1 – Solve problems by selecting, construction, interpreting, and calculating with displays of data, including box and whisker plots and scatter plots / No School Monday
CA-X / *Bar Graph
*Data
*Frequency Table
*Histogram
*Mean
*Median
*Mode
*Measures of Central Tendency
*Range
*Scatter Plot
*Stem-and-Leaf Plot
*Lower Quartile
*Upper Quartile
*Lower Extreme
*Upper Extreme
*Number Line
*Box-and-Whisker Plot
*Bias / McDougal Littell Text Book
1.1
5.8
11.2
12.1
12.2
February
Q3W8 / S2C1.PO5 – Evaluate the design of an experiment
S5C2.PO9 – Make and test conjectures based on information collected from explorations and experiments / Galileo
CA-Y / *Circle Graph
*Proportion
*Line Graph
*Bar Graph
*Bias
*Misleading Graph
*Venn Diagram
*Histogram
*Stem-and-Leaf Plot
*Box-and-Whisker / McDougal Littell Text Book
12.3 (w/ Extension)
12.8 (w/ Extension)
February/ March
Q3W9 / S3C4.PO2 – Solve problems involving simple rates (solving proportions) / Galileo
CA-Z / *Simple Rate
*Proportion
*Ratio
*Equivalent Ratios
*Rate
*Unit Rate
*Cross Products
*Scale Model
*Scale / McDougal Littell Text Book
7.1
7.2
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
March
Q3W10 / S1C2.PO3 – Solve problems involving percent increase, percent decrease, and simple interest rates (percent proportion)
S5C2.PO2 – Analyze and compare mathematical strategies for efficient problem solving; select and use one or more strategies to solve a problem
S5C2.PO8 – Describe when to use proportional reasoning to solve a problem / CA-Z1 / *Percent
*Percent of Change
*Percent of Increase
*Percent of Decrease
*Markup
*Discount
*Percent Equation
*Interest
*Principle
*Annual Interest Rate
*Proportional Reasoning / McDougal Littell Text Book
7.3
7.5
7.6
7.7
March / Spring Break / Break
March
Q4W1 / S4C1.PO3 – Use proportional reasoning to determine congruence and similarity of triangles
S4C4.PO2 – Solve geometric problems using ratios and proportions / CA-Z2 / *Congruent
*Similar
*Triangle
*Similar
*Proportion
*Polygon
*Scale Factor
*Dilation / McDougal Littell Text Book
8.8
March/
April
Q4W2 / S4C4.PO1 – Solve problems involving conversions within the same measurement system
S5C1.PO1 – Create an algorithm to solve problems involving indirect measurements, using proportional reasoning, dimensional analysis, and the concepts of density and rate / CA-Z3 / *Conversion
*Inches
*Feet
*Yards
*Miles
*Square Feet
*Square Miles
*Metric System
*Density
*Rate
*Distance / McDougal Littell Text Book
1.6
1.7 (d=rt)
April
Q4W3 / AIMS TESTING / AIMS
April
Q4W4 / AIMS
Unit and Duration: / Performance Objectives to be Taught / Testing and Vacations / Vocabulary / Resources
April
Q4W5 / Introduce Select High School performance objectives
April
Q4W6 / Introduce Select High School performance objectives
May
Q4W7 / Introduce Select High School performance objectives
May
Q4W8 / Introduce Select High School performance objectives
May
Q4W9 / Introduce Select High School performance objectives
May
Q4W10 / Introduce Select High School performance objectives

BCESD #158th Grade Mathematics Pacing Guide – Page 1 of 10