# BCESD #158Th Grade Mathematics Pacing Guide Page 1 of 10

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