Chapter -"Number Theory and Systems"-Understand numeration,
number theory, and number systems.
Lesson Code
Lesson Title and Description
LA Number
1
Divisibility Rules-Apply the divisibility rules of 2, 3, 4, 5,
6, 8, 9, and 10 to various numbers.
67113
2
Prime Factorization-Use prime factorization to determine the prime
factors of a number.
67114
3
Greatest Common Factor-Find the greatest common factor among 2 or more
numbers.
67115 , 67156 ,
4
Scientific Notation-Write numbers in scientific notation. Convert scientific
notation to standard form.
67116
5
Compare Scientific Notation-Using the signs <, >, and = compare rational
numbers in scientific notation.
67121 , 67158 ,
6
Number Line-Identify and represent integers and rational numbers on
a number line.
67147
7
Inequality Symbols-Using the symbols <, >, and =, compare integers.
67148
8
Absolute Value-Define absolute value and its opposite.
67149 , 67157 ,
Chapter -"Meanings of Operations"-Understand the meanings
of operations and how they relate to one another.
Lesson Code
Lesson Title and Description
LA Number
1
Properties-Describe and apply the Commutative, Associative, and
Distributive Properties.
67122
2
Exponential Expressions-Evaluate exponential expressions. Explore relationships
of exponents and roots.
67123
3
Order of Operations-Apply the order of operations including exponents
and roots.
67124 , 67194 ,
4
Whole Numbers (x and ÷)-Multiply and divide whole numbers.
67153
5
Estimate Products & Quotients-Estimate products and quotients using
a variety of estimating techniques including front-end, compatible
numbers, and rounding.
67154
6
Division & Decimal Remainders-Solve division problems by writing the
remainders as a decimal.
67155 , 67195
,
Chapter -"Fractions and Decimals"-Understand relationships
among numbers and ways of representing fractional and decimal numbers.
Lesson Code
Lesson Title and Description
LA Number
1
Least Common Multiple-Find the least common multiple of 2 or more
numbers.
67117
2
Least Common Denominator-Determine the least common denominator of
fractions with unlike denominators.
67118
3
Add and Subtract Mixed Numbers-Convert between mixed numbers and improper
fractions. Add and subtract mixed numbers and fractions having like
and unlike denominators with regrouping.
67119 , 67120 ,
4
Multiply Mixed Numbers-Multiply mixed numbers by whole numbers
and fractions.
67150
5
Divide Fractions-Divide whole numbers by fractions. Divide fractions
by fractions. Divide mixed numbers by whole numbers and fractions.
67151 , 67152 ,
6
Multiply Decimals-Multiply decimals. Round decimals to the nearest
hundredth, thousandth, and ten thousandth.
67174
7
Divide Decimals-Divide decimals by whole numbers. Divide decimals
by other decimals.
67175 , 67181 ,
8
Fractions and Decimals-Convert between fractions and decimals.
67187
9
Repeating Decimals-Define and identify terminating and repeating
decimals.
67188 , 67189 ,
Chapter -"Patterns-Relations-Functions"-The learner will understand
patterns, relations, and functions.
Lesson Code
Lesson Title and Description
LA Number
1
Identify
Pattern Rules-Identify and apply pattern rules using diagrams, charts,
lists, and tables. Identify and extend figurate number patterns. (triangular,
square, etc.)
67200
2
Function
Rules-Express function rules using algebraic symbols. (e.g. add 2
expressed as n + 2)
67201
3
Function
Tables-Identify functional relationships and complete function tables.
Identify algebraically the rule used to generate a group of ordered
pairs.
67202 , 67207
Chapter -"Algebra"-The learner will represent and analyze
mathematical situations and structures using algebraic symbols.
Lesson Code
Lesson Title and Description
LA Number
1
Add
& Subtract Integers-Add and subtract integers. Define the Additive
Inverse, Identity Element of Addition, and the Equality Property.
67203
2
Multiply
& Divide Integers-Multiply and divide integers. Define the Multiplicative
Inverse, Zero Property, Identity Element of Multiplication, and the
Equality Property.
Solve
One-Step Equations -Solve one-step algebraic equations with a variable
and express the solution on a number line.
67212
6
Solve
Two-Step Equations-Solve two-step algebraic equations with a variable
and express the solution on a number line.
67213
8
Inequalities-Solve
algebraic inequalities with a varible. Graph the solution set of an
algebraic inequality on a number line.
67214 , 67215
Chapter -"Time"-The learner will understand the attributes of time
and apply appropriate techniques, tools, and formulas to determine
measurements.
Lesson Code
Lesson Title and Description
LA Number
1
Units
of Time-Identify varied units of time including seconds, minutes,
hours, days, weeks, months, years, decades, centuries, and milleniums.
Relate time by using fractions of an hour or a year.
67197
2
Elapsed
Time-Use schedules, calendars, and elapsed time to solve real-world
problems. Interpret and create time schedules. Solve problems involving
time zones.
67198
3
Rates-Solve
problems involving rates, average speed, distance, and time.xpressions-Simplify
algebraic expressions.
67199 , 67206
Chapter -"Measurement Systems"-The learner will understand the attributes
of length and weight and apply appropriate techniques, tools, and
formulas to determine measurements.
Lesson Code
Lesson Title and Description
LA Number
2
Customary
System-Estimate and measure length, weight, and capacity in customary
units.
67171
3
Converting
Customary Units-Choose the proper tool/unit for measurement. Convert
between units in the customary system.
67172
4
Indirect
Customary Measurement-Determine lengths, weights, and capacities using
proportional reasoning and indirect measurement.
67173 , 67180
5
Metric
System-Estimate and measure length, mass, and capacity in metric units.
67176
6
Converting
Metric Units-Choose the proper tool/unit for measurement. Convert
between units in the metric system.
67177
7
Indirect
Metric Measurement-Determine length, mass, and capacity using proportional
reasoning and indirect measurement.
67178 , 67179
Chapter -"Comparing Measurement Systems"-The learner will understand
the attributes of length, weight, and capacity in both systems of
measurement.
Lesson Code
Lesson Title and Description
LA Number
1
Comparing
Units-Make comparisons with measurements in metric and customary units.
Determine the best unit for measurement.
67184
2
Converting
Between Systems-Convert units from one system to another.
67185
3
Indirect
Measurement-Determine missing units using proportional reasoning and
indirect measurement.
67186 , 67193
Chapter -"Probability"-The learner will apply basic concepts of
probability.
Lesson Code
Lesson Title and Description
LA Number
1
Possible
Outcomes-Determine and represent all possible outcomes for a particular
situation using charts, lists, or tree diagrams. (sample space and
counting principle)
67167
2
Events
and Complements-Calculate the probability of an event and its complement.
(odds for and against, in proportions and percentages)
67168
3
Probability-Analyze
and solve problems using ratio, percentage, and probability skills
and strategies. Explore the terms fair and equally likely in game
events.
67169 , 67170
Chapter -"Number Sense"-The learner will develop number
sense, identify different ways of representing numbers, and visualize
and represent numerical relationships.
Lesson Code
Lesson Title and Description
LA Number
1
Read
& Write Numbers-Use numeric digits and words to read and write numbers
including the trillions.
6631 , 6632
2
Inequalities-Using
the signs <, >, and =, order and compare numbers including the trillions.
6633 , 6634
3
Round
Numbers-Round to the nearest thousand; nearest ten thousand; nearest
hundred thousand; nearest million.
6635 , 6636
4
Exponents-Read
and evaluate expressions with exponents.
6637 , 6638
5
Squares
& Square Roots-Identify squares and square roots.
6639 , 6640
7
Power
of 10-Identify powers of 10 through the 6th power.
6643 , 6644
8
Numbers
in Expanded Form-Write whole numbers in expanded form with and without
scientific notation.
6645 , 6646
9
Skills
& Strategies-Analyze and solve problems using number-sense skills
and strategies.
6647 , 6648
10
Everyday
Math-Identify mathematical concepts and apply them to everyday experiences.
6649 , 6650
Chapter -"Operations Problem Solving"-The learner will
use addition, subtraction, multiplication, and division of whole
numbers in problem-solving situations.
Lesson Code
Lesson Title and Description
LA Number
1
Mathematic
Properties-Describe and apply the commutative, associative, and distributive
properties.
6628 , 6651
3
Add
& Subtract Numbers-Add and subtract using five-digit numbers, including
subtracting across zeros.
6629 , 6652
4
Estimate
Sums & Differences-Estimate sums and differences.
6630 , 6653
5
Multiply
& Divide Numbers-Multiply and divide numbers of up to five digits
by two-digit, three-digit, and four-digit numbers.
6654 , 6655
6
Estimate
Products & Quotients-Estimate products and quotients.
6656 , 6657
7
Mental
Math-Demonstrate mental computation strategies for multiplication
and division by powers of 10.
6658 , 6659
8
Use
a Calculator-Using a calculator, add, subtract, multiply, and divide
up to five-digit numbers.
6662 , 6663
9
Strategies
to Add & Subtract-Use a variety of problem-solving strategies to analyze
and solve problems involving addition and subtraction.
6660 , 6661 , 6664 , 6665
Chapter -"Integers"-The learner will demonstrate understanding
of the mathematical concept of integers.
Lesson Code
Lesson Title and Description
LA Number
1
Integers
on a Number Line-Identify and represent integers on a number line.
6710 , 6711
3
Integer
Inequalities-Using the signs <, >, and =, compare integers.
6714 , 6715
4
Add
& Subtract Integers-Add and subtract integers. Demonstrate that the
sum of an integer and its opposite is zero.
6716 , 6717
5
Integers
Everyday-Use integers in real-life situations.
6718 , 6719
Chapter -"Fraction/Decimal/Ratio/Percent"-The learner
will demonstrate understanding of the mathematical concepts of fractions,
decimals, ratios, and percentages.
Lesson Code
Lesson Title and Description
LA Number
1
Fraction
Inequalities-Using the signs <, >, and =, compare mixed numbers and
fractions having like and unlike denominators.
6666 , 6667
2
Add
& Subtract Fractions-Add and subtract mixed numbers and fractions
having like and unlike denominators.
6668 , 6669
3
Multiply
Mixed Numbers-Multiply mixed numbers by whole numbers and fractions.
6670 , 6671
4
Divide
by Fractions-Divide whole numbers by fractions.
6672 , 6673
5
Divide
Mixed Numbers-Divide mixed numbers by whole numbers and fractions.
6674 , 6675
6
Read
& Write Decimals-Read, write, and order decimals to the nearest hundred
thousandth.
6676 , 6677
7
Decimals
in Expanded Form-Write decimals (up to the hundred thousandths) in
expanded form.
6678 , 6679
8
Round
Decimals-Round decimals to the nearest hundredth; to the nearest thousandth;
to the nearest ten thousandth.
6680 , 6681
9
Estimate
Decimal Answers-Estimate decimal sums and differences through the
nearest hundred thousandth.
6682 , 6683
10
Add
& Subtract Decimals-Add and subtract decimals through the hundred
thousandths.
6684
11
Multiply
Decimals-Multiply decimals through the hundred thousandths.
6686 , 6687
12
Divide
Decimals-Divide decimals through the hundred thousandths by whole
numbers.
6688 , 6689
13
Divide
Decimals by Decimals-Divide decimals by other decimals.
6690 , 6691
14
Solve
Multi-step Problems-Solve multistep problems involving decimals and
fractions.
6692 , 6693
15
Fraction
& Decimal as Percent-Identify the relationships among fractions, decimals
and percentages. Write fractions and decimals as percentages.
6694 , 6695
16
Calculate
Percentages-Calculate the given percentage of a number.
6696 , 6697
17
Use
Percent to Find a Number-Find an unknown number when a percentage
of the number is known.
6698 , 6699
18
Percentage
Increase & Decrease-Solve problems involving percentage increase and
decrease.
6700 , 6701
19
Greater
Than 100%-Solve problems involving percentages greater than 100%.
6702 , 6703
20
Compare
Variables & Ratios-Compare two values or variables as ratios, using
appropriate notations such as a/b, a to b, and a:b.
6704
21
Proportions-Solve
proportions, including problems involving proportions with one unknown.
6706 , 6707
22
Skills
& Strategies-Analyze and solve word problems using fraction, decimal,
ratio, and percentage skills and strategies.
6708 , 6709
Chapter -"Geometry"-The learner will use geometric concepts,
properties, and relationships to explain, illustrate, and solve
problems.
Lesson Code
Lesson Title and Description
LA Number
1
Geometric
Concepts-Identify and draw points, line segments, angles, rays, planes,
parts of a circle, and horizontal, vertical, perpendicular, parallel,
and intersecting lines.
6720 , 6721 , 66948
2
Two-dimensional
Figures-Classify, describe, and compare these two-dimensional geometric
figures: triangle, square, rectangle, rhombus, trapezoid, pentagon,
hexagon, octagon, decagon, and dodecagon. Create and use manipulative
and drawings to analyze and solve problems using geometric skills
and concepts.
6722 , 6723
3
Plot
Ordered Pairs-Plot points on a four quadrant coordinate plane using
ordered pairs of positive and negative whole numbers.
6724 , 6725
5
Three-dimensional
Figures-Classify, describe, and compare these three-dimensional geometric
figures: cone, sphere, cylinder, triangular prism, rectangular prism,
pentagonal prism, hexagonal prism, tetrahedron, cube (hexahedron),
octahedron, dodecahedron, and icosahedron. Create and use manipulatives
and drawings to analyze and solve problems using geometric skills
and concepts.
6728 , 6729
6
Construct
Parallelograms-Using a ruler and compass, construct parallelograms.
6730 , 6731
7
Create
Perpendicular Bisectors-Using a straightedge and compass, construct
the perpendicular bisector of a line segment.
6732 , 6733
8
Construct
Angles-Using a protractor and straightedge, measure, classify, and
construct acute, right, obtuse, and straight angles.
6734 , 6735
9
Construct
Congruent Angles-Using a protractor and straightedge, construct pairs
of congruent angles.
6736 , 6737
10
Construct
an Angle Bisector-Using a straightedge and compass, construct the
bisector of an angle.
6738 , 6739
11
Construct
Triangles-Use a compass and straightedge to construct equilateral,
right, and isosceles triangles.
6740 , 6741
12
Find
the Measure of Triangles-Find the measure of the third angle of triangles
when given the measure of two angles.
6742 , 6743
13
Proportions-Use
proportions to find the length of a missing side when given the length
of two sides of similar triangles.
6744 , 6745
14
Parallelogram
Area & Perimeter-Using the formulas A = bh and P = 2(b+h), find the
area and perimeter of parallelograms.
6746 , 6747
15
Triangle
Area & Perimeter-Using the formulas A = (1/2)bh and P = s1 + s2 +
s3, find the area and perimeter of triangles.
6748 , 6749
16
Circle
Area & Circumference-Using the formulas A = (pi)r² and C = (pi)d or
C = 2(pi)r, find the area and circumference of circles.
6750 , 6751
17
Rectangle
Prism Volume-Using the formula volume = area of base x height (V =
A x h), find the volume of rectangular prisms.
6752 , 6753
18
Use
a Calculator-Using a calculator, find the area of triangles and parallelograms,
the volume of rectangular prisms, and the circumference of circles.
6754 , 6755
20
Geometry
Everyday-Identify and use geometric concepts in areas other than mathematics,
such as science, architecture, art, and everyday life.
6758
Chapter -"Data Collection & Analysis"-The learner will
collect, organize, and analyze data in problem-solving situations.
Lesson Code
Lesson Title and Description
LA Number
1
Mean,
Median, Mode & Range-Define, find, and describe the mean, median,
mode, and range of a set of data.
6760 , 6761
2
Variety
of Graphical Forms-Collect and organize data in a variety of appropriate
graphical formats.
6762 , 6763
3
Ways
to Organize Data-Collect, organize, and describe data using mean,
median, mode, and range.
6764 , 6765
4
Organizing
Population Data-Use a variety of sources to collect, organize, and
display data about local, state, national, and world populations.
6766 , 6768
5
Data
in Tables & Graphs-Solve problems requiring interpretation and application
of data organized in tables and graphs.
6769 , 6770
Chapter -"Chance & Probability"-The learner will explore
and apply the basic concepts of chance and probability in problem-solving
situations.
Lesson Code
Lesson Title and Description
LA Number
1
Express
Ratios-Determine and express ratios in a variety of ways.(The learner
will explore and apply the basic concepts of chance and probability
in problem-solving situations).
6771 , 6772
2
Ratios
as Decimals & Percents-Find and use equivalent ratios and express
them as decimals and percentages.
6773 , 6774
4
Perform
Probability Experiment-Estimate probability of events by performing
experiments and by using data to calculate probabilities in proportions
and percentages.
6777 , 6778
7
Skills
& Strategies-Analyze and solve problems using ratio, percentage, and
probability skills and strategies. Understand the terms fair and equally
likely in game events.
6781 , 6782
Chapter -"Units of Measurement"-The learner will use a
variety of tools and techniques to develop measuring skills, and
apply the results in problem-solving situations.
Lesson Code
Lesson Title and Description
LA Number
1
Estimate
Measurements-Estimate the length, weight/mass, and capacity/volume
of an object, and compare the estimate with an actual measurement.
6785 , 6786
2
Convert
Metric Units-Convert one metric unit of measurement to another.
6787 , 6788
3
Add
& Subtract Common Units-Use common units of measurement when solving
problems involving addition and subtraction of different units.
6789 , 6790
4
Parts
of an Hour as Fractions-Express parts of an hour in fraction or decimal
form.
6791 , 6792
5
Time
Measurement-Solve problems about elapsed time.
6793 , 6794
6
Distance
on Maps-Use proportional relationships to determine distances on maps.
6795 , 6796
7
Relate
Scale to Ratio-Make scale drawings using centimeter grids to relate
scale to ratio.
6797 , 6798
8
Problems
Involving Measurement-Select and use appropriate units, tools, and
formulas to solve problems involving length, area, time, temperature,
capacity, and weight.
6799 , 6800
Chapter -"Algebra"-The learner will use algebraic methods
to identify and describe patterns and relationships in data.
Lesson Code
Lesson Title and Description
LA Number
1
Numerical
& Visual Patterns-Identify, describe, analyze, and extend numerical
and visual patterns.
6801 , 6802
2
Predict
Functional Outcomes-Analyze and predict functional relationships and
outcomes.
6803 , 6804
3
Function
Tables & Graphs-Interpret and create function tables and graphs.
6805
4
Using
Patterns & Functions-Solve problems and model real-world situations
using patterns and functions.
6806 , 6807
5
Expressions
& Inequalities-Describe the concept of variables, expressions, equations,
and inequalities.
6809 , 6810
6
Simple
Linear Equations-Use pictures, models, and materials, or other strategies
to solve simple linear equations.
6811 , 6812
7
Simple
Linear Word Problems-Write and solve simple linear equations for word
problems, and explain reasoning orally or in writing.