COURSE OUTLINE
GRADE 6 MATHEMATICS
COURSE:
MATHEMATICS GRADE 6 (ORNARY MATHEMATICS)
TEXT TITLE:
MATHEMATICS
AUTHORS:
Rhonda Bailey, Roger Day, Ph.D., Patricia Frey, Arthur Howard, Deborah T. Hutchens, Ed.D. Kay McClain, Ed. D.
PUBLISHER:
Glencoe
ISBN:
0-07-829634 – X
RESOURCES:
Teacher Resources Book: Chapter 1 – 12 Resources Masters, (AND PERSONAL RESOURCES)
TEACHING EQUIPMENTS:
Computer, measuring equipment
Elective/Required:
Required
Study Time:
5 period weekly for 45 minutes/period
Number Credit:
1 (one)
Subject Description: A two-semester course on Mathematics covering computational skills, problems solving, mental math and estimation on numeration,
exponents, decimals, units of measurement, fractions, probability, statistics, geometry, area, perimeter, converting decimal to fraction,
to percentage, and percentage back to fraction or decimal exponent, square roots, power, and circumference
COVERAGE:
GRADING SYSTER
FIRST QUARTER
SECOND QUARTER
THIRD QUARTER
FOURTH QUARTER
Chapter 1 – 3
CHAPTER 4 – 6
CHAPTERS 7, 8, AND 10
CHAPTER 9, 11, AND 12
CHAPTER TESTS/QUIZZES
30%
Classwork
15%
Exam
25%
Homework
10%
Projects
10 %
Participation
10%
TOTAL
100%
COURSE OUTLINE
GRADE 6 MATHEMATICS
EKAMAI INTERNATIONAL SCHOOL 2020 – 2021
CHAPTER
STANDARDS
CC 1.3
CC2.1
CC 2.5
CC 1.3
CC 1.4
CC 1.2
CC 1.1
CC 1.3
CHAPTER 1
CC 1.3
CC 1.1
CC 2.1
COMMON CORE STANDARDS EXPLAINED
Determine when and how to break a problem into
simpler parts
Solve problems involving addition, subtraction,
multiplication, and division of positive fractions and
explain why a particular operation was used for a given
situation
Express the solution clearly and logically by using the
appropriate mathematical notation and terms and clear
language; support solutions with evidence in both verbal
and symbolic work
Apply algebraic order of operations and the
commutative, associative, and distributive properties to
evaluate expressions: and justify each step in the process
Write and solve one-step linear equation in one variable
Write and evaluate an algebraic expression for a given
situation, using up to three variables
Write and solve one-step linear equation in one variable
TOPICS/CONTENTS
1 - 1 A Plan for problem
Solving
SKILL
Solve problems using the
four-step plan
1 - 2 Powers and
exponents
Use powers and exponents
Use Proportions to solve problems Use crossmultiplication as a method for solving problems,
understanding it as the multiplication of both sides of an
equation by a multiplicative inverse
Apply algebraic order of operations and the
commutative, associative, and distributive properties to
evaluate expressions; and justify each step in the process
Analyze problems by identifying relationships,
distinguishing relevant from irrelevant information,
identifying missing information, sequencing and
prioritizing information, and observing pattern
Convert one unit of measurement to another
1 – 6 Algebra properties
1 – 3 Order of
Operations
1 – 4 Algebra: Variables
and Expressions
1 – 5 Algebra: Equation
ASSESSMENT
Evaluate expressions using
the order of operations
CHAPTER TEST
Evaluate simple algebraic
expressions
ASSIGNMENT
Solve equations using mental
math
Use addition and
multiplication properties to
solve problems
1 – 7 Sequences
Recognize and extend
patterns for sequences
1 – 8 The Metric System
Change metric units of
length, capacity, and mass
CLASS QUIZ
CC2.5
Express the solution clearly and logically by using the
appropriate mathematical notation and terms and clear
language; support solutions with evidence in both verbal
and symbolic work
1 – 9 Scientific Notation
Write numbers greater than
100 in scientific notation and
in standard form
CHAPTER 1 DECIMAL PATTERS AND ALGEBRA
CHAPTER
STANDARD
CC2.1
CC 2.4
CC 2.2
CC 1.2
CC 3.2
CC 2.4
CHAPTER 2
CC 2.3
CC 1.1
CC 1.4
CC 2.4
CC 2.3
COMMON CORE STANDARDS EXPLAINED
Compare different samples of a population with the data
from the entire population and identify a situation in
which it makes sense to use a sample
Use variety of methods, such as words, numbers, symbols,
charts, graphs, tables, diagrams, and models, to explain
mathematical reasoning
TOPICS/CONTENTS
2 – 1 Frequency Tables
Use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams, and models, to
explain mathematical reasoning
Understand how additional data added to data sets may
affect theses computations of measures of central
tendency
Use data to estimate the probability of future events
Use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams, and models, to
explain mathematical reasoning
Analyze data displays and explain why the way in which
the question was asked might have influenced the results
obtained and why the way in which the results were
displayed might have influenced the conclusion reached
Compute the range, mean, median, and mode of data sets
Know why a specific measure of central tendency (mean,
median, mode) provides the most useful information in a
given context
Use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams, and models, to
explain mathematical reasoning
Analyze data displays and explain why the way in which
the question was asked might have influenced the results
obtained and why the way in which the results were
displayed might have influenced the conclusion reached
2 – 2 Making Predictions
SKILLS
ASSESSMENT
Organize and interpret data
in a frequency table
Make predictions from
graphs
2 – 3 Line Plots
Construct and interpret line
plots
2 – 4 Mean, Median,
Mode
2 – 5 Stem – and – Leaf
Plots
Find the mean, median, and
mode of a set of data
Construct and interpret
stem-and-leaf plots
Chapter test
Quiz
assignment
CC 1.3
Understand how the inclusion or exclusion of outliers
affects measures of central tendency
Use a variety of methods, such as words, numbers,
symbols, charts, graphs, tables, diagrams, and models, to
explain mathematical reasoning
Analyze data displays and explain why the way in which
the question was asked might have influenced the results
obtained and why the way in which the results were
displayed might have influenced the conclusion reached
CC 2.4
CC 2.3
CHAPTER
CHAPTER 2
STANDARD
CC 2.1
CC 2.4
CC 2.5
COMMON CORE STANDARDS EXPLAINED
Compare different samples of a population with the data
from the entire population and identify a situation in
which it makes sense to use a sample
Identify data that represent sampling errors and explain
why the sample might be biased
Identify claims based on statistical data and, in simple,
case, evaluate the validity of the claims
2 – 6 Box – and Whisker
Plots
2- 7 Bar Graphs and
Histograms
Construct and interpret boxand –whisker plots
Construct and interpret bar
graphs and histograms
TOPICS/CONTENTS
2 - 8 Misleading
Statistics
SKILLS
ASSESSMENT
Recognize when statistics and
graphs are misleading
CHAPTER2 STATUSTUCS: Analyzing Data
CHAPTER
STANDARD
COMMON CORE STANDARDS
EXPLAINED
TOPICS/CONTENTS
3 – 1 Integers and
Absolute Value
CC 1.1
CC 2.3
CHAPTER 3
CC 2.3
Compare and order positive and negative
fractions, decimal, and mixed numbers and
place them on a number line.
Solve addition, subtraction, multiplication,
and division problems, including those
arising in concrete situations, that use
positive and negative integers and
combinations of these operation
Solve addition, subtraction, multiplication,
and division problems, including those
arising in concrete situations, that use
positive and negative integers and
combinations of these operation
3 – 2 Comparing and
Ordering Integers
3 – 3 The Coordinate
Plane
3 – 4 Adding Integers
SKILLS
ASSESSMENT
Read and write integers
and find the absolute
value of an integer
Compare and order
integers
Graph points on a
coordinate plane
Add Integers
3 – 5 Subtracting Integers
Subtract Integers
CHAPTER TEST
CLASS QUIZZES
ASSIGNMENT
CUMMULATIVE EXAM
COVERS CHAPTERS ONE
TILL CHAPTER 3
CC 2.3
CC 2.3
Solve addition, subtraction, multiplication,
and division problems, including those
arising in concrete situations, that use
positive and negative integers and
combinations of these operation
Solve addition, subtraction, multiplication,
and division problems, including those
arising in concrete situations, that use
positive and negative integers and
combinations of these operation
3 – 6 Multiplying Integers
Multiply integers
3 – 7 Dividing Integers
Divide Integers
CHAPTER THREE ALGEBRA INTEGERS
CHAPTER
TOPICS/CONTENTS
SKILLS
CC 1.2
STANDARD
Write and evaluate an algebraic expression
for a given situation, using up to three
variables.
4 – 1 Writing Expressions
and Equations
Write verbal phrases and
sentences as simple
algebraic expressions and
equations
CC 1.3
Apply algebraic order of operations and the
commutative, associative, and distributive
properties to evaluate expressions; and
justify each step in the process
Write and evaluate an algebraic expression
for a given situation, using up three
variables
Apply algebraic order of operations and the
commutative, associative, and distributive
properties to evaluate expressions; and
justify each step in the process
Write and evaluate an algebraic expression
for a given situation, using up three
variables
4 – 2 Solve Addition and
subtraction and Equation
CC 1.2
CC 1.3
CHAPTER 4
CC 1.2
COMMON CORE STANDARDS EXPLAINED
4 – 3 Solving
Multiplication Equation
Solve addition and
subtraction problems
Solve Multiplication
equation
4 – 4 Solving Two – Step
Equations
Solve two – steps
equation
4 – 5 Inequalities
Solve Inequalities
CC 1.1
Writing and Solve and one-step linear
equations in one variable
4 – 6 Functions and
Linear Equations
Graph a function on a
scatter plot
CC 1.1
Writing and Solve and one-step linear
equations in one variable
4 – 7 Lines and slope
Find the slope of a line
ASSESSMENTS
ASSIGNMENT
CLASS QUIZZES
CHAPTER TEST
CHAPTER 4 ALGEBRA: linear equations and functions
CHAPTER
STANDARD
CC 2.4
COMMON CORE STANDARDS EXPLAINED
Determine the least common multiple and the
greatest common divisor of whole numbers; use
them to solve problems with fractions
TOPICS/CONTENTS
5 – 1 Exploring
Factors/Prime
Factorization
5 – 2 Greatest Common
factor
5 – 3 Simplifying Fractions
5 – 4 Fractions and
Decimals
CHAPTER 5
CC 2.4
Determine the least common multiple and the
greatest common divisor of whole numbers; use
them to solve problems with fractions (LCM)
SKILLS
Discover factors of whole numbers
ASSESSMENT
Find the greatest common factor of
two or more numbers
5 – 5 Fractions and
Percent
Write fractions in simplest forms
Write fractions as terminating or
repeating decimals and write
decimals as fractions
Write fractions as percent and
percent as fractions
5 – 6 Percent and
Decimals
Write percents as decimals and
decimals as percents
5 – 7 Least Common
Multiple
Find the least common multiple of
two or more numbers
CHAPTER TEST
CLASS –
QUIZZES
ASSIGNMET
CHAPTER 5 FRACTIONS, DECIMALS, AND PERCENTS
CHAPTER
STANDARD
CC 2.3
CC2.6
CC2.7
CC 2.4
COMMON CORE STANDARDS EXPLAINED
Estimate unknown quantities graphically and solve for
them by using logical reasoning and arithmetic and
algebraic techniques
Indicate the relative advantages of exact and
approximate solutions to problems and give answers to
a specified degree of accuracy
Make precise calculation check the validity of the results
from the context of the problem
Determine the least common multiple and the greatest
common divisor of whole numbers; use them to solve
problems with fractions (LCM)
TOPICS/CONTENTS
6 – 1 Estimating with
Fractions
6 – 2 Adding and
subtracting Fractions
SKILLS
ASSESSMENT
Estimate sums, differences,
products, and quotients of
fractions and mixed
numbers
Add and subtract fractions
ASSIGNMENT
CHAPTER TEST
CHAPTER 6
CC 2.4
Determine the least common multiple and the greatest
common divisor of whole numbers; use them to solve
problems with fractions (LCM)
6 – 3 Adding and
Subtracting Mixed
Numbers
Add and subtract mixed
numbers
CC 2.2
Explain in the meaning of multiplication and division of
positive fractions and per-form the calculations
Multiply fraction and mixed
numbers
CC 1.3
Apply algebraic order of operations and commutative,
associative, and distributive properties to evaluate
expressions; and justify each step in the process
Explain the meaning of multiplication and division of
positive fractions and per-form the calculations
Apply algebraic order of operations and commutative,
associative, and distributive properties to evaluate
expressions; and justify each step in the process
Explain the meaning of multiplication and division of
positive fractions and per-form the calculations
Convert one unit of measurement to another
Demonstrate an understanding that rate is a measure of
one quantity per unit value of another quantity
Use variables in expressions describing geometric
quantities (the formulas for the perimeter of a rectangle,
the area of a triangle, and, and the circumference of a
circle , ….
Use variables in expressions describing geometric
quantities (the formulas for the perimeter of a rectangle,
the area of a triangle, and, and the circumference of a
circle , ….
Know common estimates of p (3.14; 22/7) and use these
values to estimate and calculate the circumference and
the area of circles; compare with actual measurements
6 – 4 Multiplying
Fractions and Mixed
Numbers
6 – 5 Solving Equations
6 – 6 Dividing Fractions
and Mixed Numbers
Divide fractions and mixed
numbers
6 – 7 Changing
Customary Units
Change units in the
customary systems
6 – 8 Perimeter and area
Find the perimeters and
areas of figures
6 – 9 Circles and
Circumferences
Find the circumferences of a
circle
CC 2.2
CC 1.3
CC 2.2
CC 2.1
CC2.2
CC 3.1
CC 3.
CC 1.91
CLASS – QUIZZES
EXAM COVERS FROM
CHAPTERS 1 - 6
Solve equations with
rational numbers solution
CHAPTER 6 APPLYING FRACTION
CHAPTER
STANDARD
COMMON CORE STANDARDS EXPLAINED
TOPICS/CONTENTS
SKILL
CC 1.2
Interpret and use ratios in different contexts
7 – 1 Ratios
CC 1.2
CC 2.3
Interpret and use ratios in different contexts
Solve problems involving rates, average speed, distance
and time
Interpret and use ratios in different contexts
7 – 2 Rates
Write ratios as
fractions and
determine whether
two ratios are
equivalent
Determine unit rates
7 – 3 Solving
Proportions
Use proportions to
estimate
CC 1.2
ASSESSMENT
7 – 4 Scale Drawings
CC 3.3
CHAPTER 7
CC1.4
CC 3.3
CC1.4
CC 3.3
CC1.4
Represent probabilities as ratios, proportions, decimals
between 0 and 1, and percentages between 0 and 100 and
verify that the probabilities computed are reasonable;
know that if P is the probability of an events
Calculate given percentages of quantities and solve
problems involving discounts at sales, interest earned, and
tips
Represent probabilities as ratios, proportions, decimals
between 0 and 1, and percentages between 0 and 100 and
verify that the probabilities computed are reasonable;
know that if P is the probability of an events
Calculate given percentages of quantities and solve
problems involving discounts at sales, interest earned, and
tips
Represent probabilities as ratios, proportions, decimals
between 0 and 1, and percentages between 0 and 100 and
verify that the probabilities computed are reasonable;
know that if P is the probability of an events
Calculate given percentages of quantities and solve
problems involving discounts at sales, interest earned, and
tips
7 – 5 Fractions,
Decimal, and Percents
Solve problems involve
scale drawing
Write percent as
fractions and vice
versa
7 – 6 Percents Greater
than 100% and
percents Less
Than 1%
Write percents greater
than 100% and
percents less than 1%
as fractions and as
decimals and vice
versa
7 – 7 Percent of a
number
Find the percent of a
number
CHAPTER TEST
MATHEMATICS
CLASS – QUIZZES
ASSIGNMENT
CHAPTER 7 RATIOS AND PROPORTIONS
CHAPTER
STANDARD
COMMON CORE STANDARDS EXPLAINED
TOPICS/CONTENTS
CC 2.0
Use estimation to verify the reasonableness of calculated
results
8 – 1 Percent and
estimate
CC 1.2
Write and evaluate an algebraic expression for a given
situation, using up to three variable
8 – 2 percent and
Equations
CC 2.2
Use a variety of methods, such as words, numbers, symbols,
charts, graphs, tables, diagrams, and models, to explain
mathematical reasoning
Understand how additional data added to data sets may affect
theses computations of measures of central tendency
Use data to estimate the probability of future events
Represent probabilities as ratios, proportions, decimals
between 0 – 1 and percentages between 0 and 100 and verify
that the probabilities computed are reasonable
8 – 3 Use statistics to
predict
CHAPTER 8
CC 1.2
CC 3.2
CC 3.3
8 – 4 Percent of Change
SKILL
Estimate percent by
using fractions and
decimals
Solve problems by
using the percent
equations
Predict actions of
larger group by
using a sample
Find the percent of
the increase or
decrease
ASSESSMENT
CHAPTER TEST
ASSIGNMENT
CLASS QUIZZES
CC 1.4
Calculate given percentages of quantities and solve problems
involving discount of sales, interest earned, and tips
8 – 5 Sales Tax and
Discount
CC 1.4
Calculate given percentages of quantities and solve problems
involving discount of sales, interest earned, and tips
8 – 6 Simple Interest
Solve problems
involving sales tax
and discount
Solve problems
involving sample
interest
CHAPTER 8 APPLYING PERCENT
CHAPTER
STANDARD
COMMON CORE STANDARDS EXPLAINED
TOPICS/CONTENTS
9 – 1 Simple - Events
9 – 2 Tree Diagrams
CC 9 - 3
Understand that the probability of either of two disjoint evens
occurring is the sum of the two individual probabilities and
that the probability of one events following another, in
independent trials, is the product of the two probabilities
Understand that the probability of either of two disjoint evens
occurring is the sum of the two individual probabilities and
that the probability of one events following another, in
independent trials, is the product of the two probabilities
Understand that the probability of either of two disjoint evens
occurring is the sum of the two individual probabilities and
that the probability of one events following another, in
independent trials, is the product of the two probabilities
9 – 3 The fundamental
Counting Principle
CC 3.1
CC 3.5
CC 9 - 3
CHAPTER 9
CC 9 – 3
CHAPTER 9 PROBABILITY
SKILLS
Find the probability of
simple events
Use tree diagrams to
count outcomes and
find probabilities
Use Multiplications to
count outcomes
9 – 4 Permutations
Find the number of
permutations of a set
of objects
9 – 5 Combination
Find the number of
combinations of set
of objects
Represent all possible outcomes for compound events in an
organized way and express the theoretical probability of each
outcomes
9 – 6 Theoretical and
Experimental
Probability
Understand the difference between independent and
dependent events
9 – 7 Independent and
Dependent Events
Find and compare
experimental and
theoretical
probabilities
Find the probability of
independent and
dependent events
ASSESSMENT
TEST
CLASS QUIZZES
HOMEWORK
PROJECT
CHAPTER
STANDARD
CC 2.1
CC2.2
CHAPTER 10
CC2.2
CC 2.1
CC 2.3
CC 2.3
COMMON CORE STANDARDS
EXPLAINED
Identify angles as vertical, adjacent,
complementary, or supplementary and
provide descriptions of these terms
Identify different ways of selecting a
sample and which method makes a
sample more representative for a
populations
Identify different ways of selecting a
sample and which method makes a
sample more representative for a
populations
Identify angles as vertical, adjacent,
complementary, or supplementary and
provides descriptions of these terms
Draw quadrilaterals and triangles from
given information about them
Draw quadrilaterals and triangles from
given information about them
TOPICS/CONTENTS
SKILLS
10 – 1 Measuring Angles
Measure angles
10 – 2 Making Circle
Graphs
Construct and interpret
circle graphs
10 – 3 Angle Relationship
Identify and apply angle
relationships
10 – 4 Triangles
Identify and classify
triangles
Identify and classify
quadrilaterals
Determine whether
figures are similar and find
a missing length in a pair
of similar figure
Classify polygons and
determine which
polygons can form a
tessellations
Graph translation of
polygons on a coordinate
plane
Identify figure with line
symmetry and graphs
reflection on a coordinate
plane
10 – 5 Quadrilaterals
10 – 6 Similar Figures
10 – 7 Polygons and
Tessellations
10 – 8 Translations
10 – 9 Reflections
ASSESSMENT
CHAPTER TESTT
CLASS QUIZZ
ASSIGNMENT
EXAM COVERS
CHAPTERS 1 – 8 AND 10
CHAPTER 10 GEOMETRY
CHAPTER
STANDARD
COMMON CORE STANDARDS
EXPLAINED
TOPICS/CONTENTS
SKILLS
ASSESSMENT
11 – 1 Squares and
Square roots
11 – 2 Estimating Square
Roots
Find squares of numbers
and square roots of
perfect squares
Estimate square roots
CC 1.3
Know and use the formulas for the
volume of triangular prisms and cylinder
11 – 3 The Pythagorean
Theorem
CC 1.3
Know and use the formulas for the
volume of triangular prisms and cylinder
Know and use the formulas for the
volume of triangular prisms and cylinder
Use variables in expressions describing
geometric quantities. Area of Triangles,,
polygons and circle
Know common estimates of 3.14 and use
these values to estimate and calculate the
circumference and the area of circle
Use variables in expressions describing
geometric quantities. Area of Triangles,,
polygons and circle
11 – 4 Area of
Parallelograms
11 – 5 Area of Triangles
and Trapezoids
11 – 6 Area of circles
Find the relationship
among the sides of a right
triangle
Find the areas of
parallelograms
Find the areas of triangles
and trapezoids
Find the areas of circles
11 – 7 Area of Complex
figures
Find the areas of complex
figures
CC 1.3
CC 3.1
CHAPTER 11
CC 1.2
CC 3.1
CHAPTER TEST
PROJECT
CLASS QUIZZES
ASSIGNMENTS
HAND – ON ACTIVITY
CHAPTER 11 GEOMETRY MEASURING DIMENSIONAL FIGURES
CHAPTER
STANDARD
COMMON CORE STANDARDS
EXPLAINED
TOPICS/CONTENTS
12 – 1 Drawing Three –
dimensional figures
CC 1.3
CC 1.3
Know and use the formulas for the volume
of triangular prisms and cylinder
Know and use the formulas for the volume
of triangular prisms and cylinder
12 - 2 Volume of
Rectangular Prisms
12 – 3 Volume of Cylinder
SKILL
Draw a three-dimensional
figure given the top, side,
and front view
Find the volumes of
rectangular prisms
Find the volumes of
cylinders
ASSESSMENT
CC 1.3
CHAPTER 12
CC 2.3
CC 2.6
Know and use the formulas for the
volume of triangular prisms and
cylinder
Estimate unknown quantities
graphically and solve for them by
using logical reasoning and arithmetic
and algebraic techniques
Indicate the relative advantages of
exact and approximate solutions to
problems and give answers to a
specified degree of accuracy
12 – 4 Surface Area of
Rectangular Prisms
12 – 5 Surface area of
Cylinder
Find the surface area of
rectangular prisms
Find the surface areas of
cylinder
12 – 6 Precision and
Measurement
Determine and apply
significant digits in a real –
life context
HOMEWORK
CLASS – QUIZZES
CHAPTER TEST
ASSIGNMENT
HAND – ON ACTIVITY
CHAPTER 12 GEOMETRY; MEASURING THREE – DIMENSIONAL FIGURES
COVERAGE:
GRADING SYSTER
FIRST QUARTER
SECOND QUARTER
THIRD QUARTER
FOURTH QUARTER
Chapter 1 – 3
CHAPTER 4 – 6
CHAPTERS 7, 8, AND 10
CHAPTER 9, 11, AND 12
CHAPTER TESTS/QUIZZES
30%
Classwork
15%
Exam
25%
Homework
10%
Projects
10 %
Participation
10%
TOTAL
100%