Download 8 Instructional Guide Math - Sallie B. Howard School for the Arts and

Pacing Guide
GRADE 8 MATHEMATIC SCOS
Course Name
TOPICS/CONCEPTS
GRADING
PERIOD
CURRICULUM OBJECTIVES
TIME
ALGEBRA: INTEGERS (Chapter 1)
 Operations
 Problem Solving Methods
ALGEBRA: RATIONAL NUMBERS
(Chapter 2)
 Operations with Fractions
1
10
1.01, 1.02, 5.01, 5.03, 5.04
MAJOR: 1.01, 5.01, 5.03, 5.04
1
10
ALGEBRA: REAL NUMBERS AND THE
PYTHAGOREAN THEOREM
(Chapter 3)
 Irrational Numbers
 Coordinate Plane
ALGEBRA: MORE EQUATIONS AND
INEQUALITIES (Chapter 10)
 Solving Equations and Inequalities
SPIRAL REVIEW/ASSESS
1
10
1.01, 1.02, 5.03, 5.04
MAJOR: 1.01, 5.03, 5.04
MAINTAIN:
 Factors and multiples
1.01, 1.02, 2.02, 3.02, 5.04
MAJOR: 1.01, 2.02, 3.02, 5.04
10
1.02, 5.03, 5.04
MAJOR: 5.03
5
1.01, 1.02, 2.02, 3.02, 5.03, 5.04
MAJOR: 1.01, 2.02, 3.02, 5.01, 5.03, 5.04
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier year.
MAINTAIN:
 Factors and multiples
1
1
45 Days
PROPORTIONS, ALGEBRA, AND
GEOMETRY (Chapter 4 Section 4-1 to 4-4)
 Proportional Reasoning
 Slope
2
5
1.01, 5.01
MAJOR: 1.01, 5.01
MAINTAIN:
 Ratio, proportion, and percent
1
ALGEBRA: LINEAR FUNCTIONS
(Chapter 11)
 Linear Equations and Inequalities
 Slope
 Scatter Plots
 Fibonacci
 Fluency in Graphing, Tables, Algebraic
Manipulations
ALGEBRA: NONLINEAR FUNCTIONS
AND POLYNOMIALS (Chapter 12)
 Compare Linear and Nonlinear
 Families of Equations
SPIRAL REVIEW/ASSESS
30
1.02, 4.01, 4.02, 4.03, 5.01, 5.02, 5.03, 5.04
MAJOR: 4.01, 5.01, 5.02, 5.03, 5.04
5
1.02, 3.01, 4.01, 5.01
MAJOR: 4.01, 5.01
5
1.01, 1.02, 3.01, 4.01, 4.02, 4.03, 5.01, 5.02, 5.03, 5.04
MAJOR: 1.01, 3.02, 4.01, 5.01, 5.02, 5.03, 5.04
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier year.
MAINTAIN:
 Ratio and proportion
2
2
2
45 Days
PERCENT (Chapter 5)
 Conversion of Fractions, Percent, Decimals
 Percent Proportion
 Applications
PROBABILITY (Chapter 8)
 Pascal
PROPORTIONS, ALGEBRA, AND
GEOMETRY (Chapter 4 Sections 4-5 to 4-8)
 Scale Drawing
 Indirect Measurement
 Dilations (Relate to Proportions)
GEOMETRY (Chapter 6)
 Geometric Modeling
 Review Essential Properties
15
1.02, 5.03, 5.04
MAJOR: 5.03, 5.04
MAINTAIN:
 Ratio, proportion, and percent
1.01, 1.02, 4.01, 4.03
MAJOR: 1.01
MAINTAIN:
 Ratio, proportion, and percent
2.02, 3.01, 3.02, 3.03
MAJOR: 3.01, 3.02, 3.03
MAINTAIN:
 Ratio, proportion, and percent
3
5
3
3
10
10
3.01, 3.02
MAJOR: 3.01, 3.02
3
2
 Review Transformation Geometry
 Rotations
SPIRAL REVIEW/ASSESS
5
1.01, 1.02, 2.02, 3.01, 3.02, 3.03, 4.01, 4.03, 5.03, 5.04
MAJOR: 1.01, 2.02, 3.01, 3.02, 3.03, 5.01, 5.02, 5.03, 5.04
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier year.
MAINTAIN:
 Ratio, proportion, and percent
3
45 Days
GEOMETRY: MEASURING AREA AND
VOLUME (Chapter 7)
 Area, Perimeter, Volume
 Surface Area
 Investigation Changes
STATISTICS AND MATRICES (Chapter 9)
 Univariate Graphs
 Central Tendency and Variation
 Misleading Statistics
SPIRAL REVIEW/ASSESS
10
2.01, 3.01
MAINTAIN:
 Volume and surface area
15
1.02, 4.01, 4.03
MAJOR: 4.01
MAINTAIN:
 Box plots and histograms
ASSESS: 1.02, 2.01, 3.01, 4.01, 4.03
REVIEW ALL OBJECTIVES
MAJOR: 1.01, 2.02, 3.02, 4.01, 5.01, 5.03
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
MAINTAIN:
 Ratio, proportion, and percent
 Factors and multiples
 Box plots and histograms
 Volume and surface area
1.02, 3.01, 5.03
MAJOR:
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
4
4
10
4
EXTENDED PROBLEM SOLVING
10
4
3
45 Days
4
Instructional Guide
_GRADE 8 MATHEMATICS_____
Course Nam
TIME FRAME: FIRST GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand
and compute with real numbers.
1.01 Develop number sense for the real
numbers.
(a) Define and use irrational numbers.
(b) Compare and order.
(c) Use estimates of irrational numbers in
appropriate situations.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 5: The learner will understand
and use linear relations and functions.
5.01 Develop an understanding of
function.
(a) Translate among verbal, tabular,
graphic, and algebraic representations of
functions
(b) Identify relations and functions as
linear or nonlinear.
(c) Find, identify and interpret the slope
(rate of change) and intercepts of a linear
relation.
(d) Interpret and compare properties of
linear functions from tables, graphs, or
equations.
5.03 Solve problems using linear
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
ALGEBRA: INTEGERS
Why are variables used to write expressions
and equations?
 Convert words to variable expressions.
What are some methods to solve equations?
MAJOR CONCEPTS/ SKILLS: 1.01, 5.01,
5.03, 5.04
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
ESSENTIAL TASKS:
1. Use graphics calculator
to solve equations
graphically?
2. Toothpick patterns (p.
11).
3. Graphing data (p. 22)
4. Review operations with
integers.
5
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 10 Days
TEXTBOOK:
Grade 8
Mathematics
(Glencoe)
Chapter 1
equations and inequalities; justify
symbolically and graphically.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
Goal 1: The learner will understand
and compute with real numbers.
1.01 Develop number sense for the real
numbers.
(a) Define and use irrational numbers.
(b) Compare and order.
(c) Use estimates of irrational numbers in
appropriate situations.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 5: The learner will understand
and use linear relations and functions.
5.03 Solve problems using linear
equations and inequalities; justify
symbolically and graphically.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
Goal 1: The learner will understand
and compute with real numbers.
1.01 Develop number sense for the real
numbers.
(a) Define and use irrational numbers.
(b) Compare and order.
(c) Use estimates of irrational numbers in
appropriate situations.
1.02 Develop flexibility in solving
ALGEBRA: RATIONAL NUMBERS
How are unlike fractions added, subtracted,
multiplied, and divided?
ESSENTIAL TASKS:
1. Use the graphics
calculator to simplify
fractions, convert to
decimals and back.
PACING: 10 Days
TEXTBOOK:
Chapter 2
What are the rules of exponents?
How do you use the rules of exponents when
performing operations with scientific
notation?
MAJOR CONCEPTS/ SKILLS: 1.01, 5.03,
5.04
MAINTAIN CONCEPTS/SKILLS:
 Factors and multiples
2. Use the graphics
calculator to test fractions
and determine which is
larger?
3. Use the graphics
calculator to solve
equations with rational
numbers.
4. Converting to binary (p.
102)
5. Use the graphics
calculator to find square
and cube roots.
ALGEBRA: REAL NUMBERS AND THE ESSENTIAL TASKS:
PACING: 10 Days
1. Use a graphics calculator
PYTHAGOREAN THEOREM
to convert a repeating
TEXTBOOK:
What is the relationship between irrational
decimal to a rational
Chapter 3
and rational numbers?
number.
How is indirect measurement used?
How is the Pythagorean Theorem used in
6
2. Use Sketchpad to
explore the properties of
the Pythagorean Theorem.
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 2: The learner will understand
and use measurement concepts.
2.02 Apply and use concepts of indirect
measurement.
Goal 3: The learner will understand
and use properties and relationships in
geometry.
3.02 Apply geometric properties and
relationships, including the Pythagorean
Theorem, to solve problems.
Goal 5: The learner will understand
and use linear relations and functions.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
Goal 1: The learner will understand
and compute with real numbers.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 5: The learner will understand
and use linear relations and functions.
5.03 Solve problems using linear
equations and inequalities; justify
symbolically and graphically.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
1.01, 1.02, 2.02, 3.02, 3.03, 5.04
problem solving with indirect measurement?
MAJOR CONCEPTS/ SKILLS: 1.01, 2.02,
3.02, 5.04
ALGEBRA: MORE EQUATIONS AND
INEQUALITIES
3. Reasoning about the
Pythagorean Theorem
(NCTM’s Navigating
through Geometry-Chapter
1)
ESSENTIAL TASKS:
PACING: 10 Days
MAJOR CONCEPTS/SKILLS: 5.03
TEXTBOOK:
Chapter 10
SPIRAL REVIEW/ASSESS
PACING: 5 Days
7
MAJOR CONCEPTS/SKILLS:
1.01,2.02, 3.02, 5.01, 5.03, 5.04
 Students will solve relevant and
authentic problems using appropriate
technology and apply these concepts as
well as those developed in earlier year.
MAINTAIN CONCEPTS/SKILLS:
 Factors and multiples
TIME FRAME: SECOND GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand
and compute with real numbers.
1.01 Develop number sense for the real
numbers.
(a) Define and use irrational numbers.
(b) Compare and order.
(c) Use estimates of irrational numbers in
appropriate situations.
Goal 5: The learner will understand
and use linear relations and functions.
5.01 Develop an understanding of
function.
(a) Translate among verbal, tabular,
graphic, and algebraic representations of
functions
(b) Identify relations and functions as
linear or nonlinear.
(e) Find, identify and interpret the slope
(rate of change) and intercepts of a linear
relation.
(f) Interpret and compare properties of
linear functions from tables, graphs, or
equations.
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
PROPORTIONS, ALGEBRA, AND
GEOMETRY
What is a rate of change and how does it
relate to linear equations?
How do dilations relate to similar figures?
MAJOR CONCEPTS/ SKILLS: 1.01, 5.01
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
8
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
ESSENTIAL TASKS:
1. Use the graphics
calculator to solve
proportional equations.
2. Use a spreadsheet to
calculate rates of change.
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 5 Days
TEXTBOOK:
Chapter 4
Section 4-1 to 4-4
Goal 1: The learner will understand
and compute with real numbers.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 4: The learner will understand
and use graphs and data analysis.
4.01 Collect, organize, analyze, and
display data (including scatterplots) to
solve problems.
4.02 Approximate a line of best fit for a
given scatterplot; explain the meaning of
the line as it relates to the problem and
make predictions.
4.03 Identify misuses of statistical and
numerical data.
Goal 5: The learner will understand
and use linear relations and functions.
5.01 Develop an understanding of
function.
(a) Translate among verbal, tabular,
graphic, and algebraic representations of
functions
(b) Identify relations and functions as
linear or nonlinear.
(g) Find, identify and interpret the slope
(rate of change) and intercepts of a linear
relation.
(h) Interpret and compare properties of
linear functions from tables, graphs, or
equations.
5.02 Write an equation of a linear
relationship given: two points, the slope
and one point on the line, or the slope and
y-intercept.
5.03 Solve problems using linear
ALGEBRA: LINEAR FUNCTIONS
MAJOR CONCEPTS/ SKILLS: 4.01, 5.01,
5.02, 5.03, 5.04
ESSENTIAL TASKS:
1. Understanding Patterns
(NCTM’s Navigating
through Algebra – Chapter
1)
2. Analyzing change in
Various Contexts
(NCTM’s Navigating
through Algebra – Chapter
2)
3. Exploring Linear
Relationships (NCTM’s
Navigating through
Algebra –Chapter 2)
4. Exploring Bivariate
Data (NCTM’s Navigating
through Data AnalysisChapter 4)
9
PACING: 30 Days
TEXTBOOK:
Chapter 11
OTHER
RESOURCES:
1. Looking at Lines
(AIMS)
2. Moving Straight
Ahead (Connected
Math Curriculum
Project)
3. Thinking with
Mathematical Models
(Connected Math
Project)
equations and inequalities; justify
symbolically and graphically.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
Goal 1: The learner will understand
and compute with real numbers.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 3: The learner will understand
and use properties and relationships in
geometry.
3.01 Represent problem situations with
geometric models.
Goal 4: The learner will understand
and use graphs and data analysis.
4.01 Collect, organize, analyze, and
display data (including scatterplots) to
solve problems.
Goal 5: The learner will understand
and use linear relations and functions.
5.01 Develop an understanding of
function.
(a) Translate among verbal, tabular,
graphic, and algebraic representations of
functions
(b) Identify relations and functions as
linear or nonlinear.
(c) Find, identify and interpret the slope
(rate of change) and intercepts of a linear
relation.
(d) Interpret and compare properties of
linear functions from tables, graphs, or
equations.
ALGEBRA: NONLINEAR FUNCTIONS
AND POLYNOMIALS
How do linear and nonlinear functions
compare and contrast in terms of tables,
graphs, and equations?
MAJOR CONCEPTS/ SKILLS: 5.01
10
ESSENTIAL TASKS:
1.Use graphics calculator
to explore y=x, y=x^2,
y=x^3. Compare and
contrast.
2. Collect real data and fit
regression equation.
Discuss when linear and
when not linear? How do
you determine?
PACING: 5 Days
TEXTBOOK:
Chapter 12
OMIT: Polynomials
1.01, 1.02, 2.01, 3.01, 4.01, 4.02, 4.03,
5.01, 5.02, 5.03, 5.04
SPIRAL REVIEW/ASSESS
PACING: 5 Days
MAJOR CONCEPTS/SKILLS: 1.01, 4.01,
5.01, 5.02, 5.03, 5.04
 Students will solve relevant and
authentic problems using appropriate
technology and apply these concepts as
well as those developed in earlier year.
MAINTAIN CONCEPTS/SKILLS:
 Ratio and proportion
TIME FRAME: THIRD GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand
and compute with real numbers.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 5: The learner will understand
and use linear relations and functions.
5.03 Solve problems using linear
equations and inequalities; justify
symbolically and graphically.
5.04 Solve equations using the inverse
relationships of addition and subtraction,
multiplication and division, squares and
square roots, and cubes and cube roots.
Goal 1: The learner will understand
and compute with real numbers.
1.01 Develop number sense for the real
numbers.
(a) Define and use irrational numbers.
(b) Compare and order.
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
PERCENT
How do you solve problems of percent of
increase and percent of decrease?
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
RECOMMENDED
RESOURCES
AND
ASSESSMENT
ESSENTIAL TASKS:
PACING: 15 Days
1. Relate percent to number
line and decimals.
TEXTBOOK:
Chapter 5
How do you write and solve a percent
equation?
MAJOR CONCEPTS/SKILLS: 5.03, 5.04
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
PROBABILITY
Compare and contrast theoretical and
experimental probability.
How can analyzing probability be used to
make predictions?
11
ESSENTIAL TASKS:
1. Use ProbSim APP on
graphic calculators to do
probability experiments
and analyze results.
PACING: 5 Days
TEXTBOOK:
Chapter 8
(c) Use estimates of irrational numbers in
appropriate situations.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 4: The learner will understand
and use graphs and data analysis.
4.01 Collect, organize, analyze, and
display data (including scatterplots) to
solve problems.
4.03 Identify misuses of statistical and
numerical data.
Goal 2: The learner will understand
and use measurement concepts.
2.02 Apply and use concepts of indirect
measurement.
Goal 3: The learner will understand
and use properties and relationships in
geometry.
3.01 Represent problem situations with
geometric models.
3.02 Apply geometric properties and
relationships, including the Pythagorean
Theorem, to solve problems.
3.03 Identify, predict, and describe
dilations in the coordinate plane.
2. Use RandBin feature on
What is the difference between the probability the graphics calculator to
of independent and dependent events?
simulate the tossing of a
coin or flipping of a die.
How can probability be analyzed using
Store data in a list and
geometric models?
make a box-and-whisker
plot or histogram.
MAJOR CONCEPTS/SKILLS: 1.01
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
PROPORTIONS, ALGEBRA, AND
GEOMETRY
What is indirect measurement and when can it
be useful?
ESSENTIAL TASKS:
1. Use the graphics
calculator to solve
proportional equations.
What is a rate of change and how does it
relate to linear equations?
2. Use a spreadsheet to
calculate rates of change.
How do dilations relate to similar figures?
3. Use Sketchpad or
graphics calculator to make
dilations.
How are dilations related to the proportional
reasoning concept?
MAJOR CONCEPTS/ SKILLS: 2.02, 3.02,
3.03
PACING: 5 Days
TEXTBOOK:
Chapter 4
Section 4-5 to 4-8
4. Dilating Figures
(NCTM’s Navigating
through Geometry-Chapter
1)
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
Goal 3: The learner will understand
and use properties and relationships in
geometry.
3.01 Represent problem situations with
GEOMETRY
How is geometric modeling used to solve
algebraic problems?
12
ESSENTIAL TASKS:
1. Use Sketchpad to
explore rotations and
dilations.
PACING: 10 Days
TEXTBOOK:
Chapter 6
geometric models.
3.02 Apply geometric properties and
relationships, including the Pythagorean
Theorem, to solve problems.
Why is the Pythagorean Theorem so
important?
How do dilations relate to similar figures and
proportional reasoning?
1.01, 1.02, 2.02, 3.01, 3.02, 3.03, 4.01,
4.03, 5.03, 5.04
2. Use the graphics
calculator to make
dilations.
3. Geometric Problem
Solving (p. 276 and 278)
MAJOR CONCEPTS/SKILLS: 3.01, 3.02
SPIRAL REVIEW/ASSESS
PACING: 5 Days
MAJOR CONCEPTS/SKILLS: 1.01, 3.01,
3.02, 3.03, 5.01, 5.02, 5.03
 Students will solve relevant and
authentic problems using appropriate
technology and apply these concepts as
well as those developed in earlier year.
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
TIME FRAME: FOURTH GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 2: The learner will understand
and use measurement concepts.
2.01 Determine the effect on perimeter,
area or volume when one or more
dimensions of two- and three-dimensional
figures are changed.
Goal 3: The learner will understand
and use properties and relationships in
geometry.
3.01 Represent problem situations with
geometric models.
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
GEOMETRY: MEASURING AREA AND
VOLUME
What is the effect on perimeter, area, or
volume when one or more dimensions of twoand three-dimensional figures are changed?
How is the volume of a cone related to the
volume of a cylinder that has the same base
and height?
How is the volume of a pyramid related to the
volume of a prism that has the same base and
13
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
ESSENTIAL TASKS:
1. Use Sketchpad to
explore the effect on
perimeter, area, or volume
when one or more
dimensions of twodimensional figures are
changed.
2. Use models to explore
volumes of 3-D objects.
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 10 Days
TEXTBOOK:
Chapter 7
height?
MAINTAIN CONCEPTS/SKILLS:
 Volume and surface area
Goal 1: The learner will understand
and compute with real numbers.
1.02 Develop flexibility in solving
problems by selecting strategies and using
mental computation, estimation,
calculators, or computers, and paper and
pencil.
Goal 4: The learner will understand
and use graphs and data analysis.
4.01 Collect, organize, analyze, and
display data (including scatterplots) to
solve problems.
4.03 Identify misuses of statistical and
numerical data.
STATISTICS AND MATRICES
How do you determine the most useful plot
for data?
REVIEW: Histograms,
Box and Whisker Plots,
Central Tendency
What kind of information is obtained from a
histogram? A box plot, a scatterplot?
ESSENTIAL TASKS:
1. Collect a lot of real data
and make plots. Discuss.
SPIRAL REVIEW/ASSESS: 1.02, 2.01,
3.01, 4.01, 4.03
SPIRAL REVIEW/ASSESS
REVIEW ALL OBJECTIVES
EXTENDED PROBLEM SOLVING
PACING: 15 Days
TEXTBOOK:
Chapter 9
How do measures of center help you to
understand data and make
conclusions/predictions?
MAJOR CONCEPTS/SKILLS: 4.01
MAINTAIN CONCEPTS/SKILLS:
 Box plots and histograms
PACING: 10 Days
MAJOR CONCEPTS/SKILLS: 1.01, 2.02,
4.01, 5.01, 5.03
 Students will solve relevant and
authentic problems using appropriate
technology and apply these concepts as
well as those developed in earlier year.
MAINTAIN CONCEPTS/SKILLS:
 Ratio, proportion, and percent
 Factors and multiples
 Box plots and histograms
 Volume and surface area
1.02, 3.01, 5.03
MAJOR CONCEPTS/SKILLS:
14
PACING: 10 Days

Students will solve relevant and
authentic problems using appropriate
technology and apply these concepts as
well as those developed in earlier year.
15