# Mathematics 2 Mathematics 2
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## Mathematics 2 - Overview

The Mathematics 2 reviews skills from the previous grade and builds a strong foundation by introducing key mathematical concepts that students will get familiar with and build upon in future courses.

Mathematics 2 builds on skills learned in Mathematics 1. In this course students are introduced to multiplication and division, practice the basics of algebra, review the measurement of distance and time, learn about different types of lines, and are introduced to the concept of mode. Base ten blocks are heavily used in this course to segway between visualizing numbers as objects and understanding what they represent on paper.

Extra lessons and worksheets are also available for those who would like to go beyond the scope of the mathematics curriculum and give their students the opportunity to further enrich their understanding of learned concepts.

Teachers and parents are welcome to obtain full access to detailed solutions, lessons, and online assessments by becoming Members.

## Mathematics 2 - Samples

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## Mathematics 2 - Contents

Unit 1:   Number Sense and Numeration
In this unit students will learn how to properly spell and format the names of numbers. Place value is introduced and explained in detail, as is the term "digits". An introduction to multiplication and multiplication tables is followed by an introduction to division. Students will learn what a remainder is and what it means, will learn about factors and how to split numbers into them, and will learn about the concepts of prime and composite numbers. Word problems are used throughout the unit to solidify understanding and build a bridge between visualizing numbers as objects, and being able to describe real-world mathematical situations in mathematical terms.
Lesson 1:   Counting Lesson 2:   Addition and Subtraction Review I Lesson 3:   Naming Numbers Lesson 4:   Number Line Lesson 5:   Place Value Lesson 6:   Addition and Subtraction Review II Lesson 7:   Multiplication I Lesson 8:   Addition and Subtraction Review III Lesson 9:   Multiplication up to 100 Lesson 10:   Division Lesson 11:   Multiplication and Division Lesson 12:   Distributive Property of Multiplication Lesson 13:   Multiplying and Dividing Positive and Negative Numbers Lesson 14:   Multiplication and Division by 1, 2, 5 and 10 Lesson 15:   Expressions Lesson 16:   Order of Operations Lesson 17:   Expressions 2 Lesson 18:   Expressions 3 Lesson 19:   Expressions 4 Lesson 20:   Word Problems 1 Lesson 21:   Remainder Lesson 22:   Division and Fractions Lesson 23:   Splitting Numbers Into Factors Lesson 24:   Prime and Composite Numbers Lesson 25:   Word Problems 2 Lesson 26:   Unit 1 Review
Unit 2:   Patterns and Algebra
In this unit students will practice basic algebra based on concepts learned in the first unit. Students will review patterns and learn about triangular numbers, then continue their learning from unit one with lessons on expression that put all the learned techniques together, and teach the students to solve expressions by collecting like terms. Equalities are reviewed and inequalities introduced. The students are also introduced to equations and how to solve them. A lesson dedicated to cognitive skills such as memory and pattern recognition is also present in this unit.
Lesson 1:   Basics of Algebra Lesson 2:   Patterns I Lesson 3:   Patterns II Lesson 4:   Expressions 5 Lesson 5:   Expressions 6 Lesson 6:   Equalities Lesson 7:   Inequalities Lesson 8:   Equations Lesson 9:   Cognitive Skills Lesson 10:   Word Problems 3 Lesson 11:   Unit 2 Review
Unit 3:   Measurements
The third unit reviews measurements of distance and time. The student will learn about units of measurement besides the centimeter, and will use previously gained math skills to complete time-related calculations. Real-world problems are used to enhance understanding and apply the mathematical concepts to real-world situations.
Lesson 1:   Measuring Distance Lesson 2:   Measuring Distance II Lesson 3:   Measuring Time I Lesson 4:   Measuring Time II Lesson 5:   Real World Problems Lesson 6:   Unit 3 Review
Unit 4:   Geometry
In this unit the focus is geometry. Students will review the concepts of points and lines, 2D shapes and 3D objects, and perimeter. New concepts that will be introduced in this unit include the concepts of horizontal and vertical lines, and coordinates and how they relate to a game called chess. The topic of area will also be introduced.
Lesson 1:   Points and Lines Lesson 2:   Horizontal and Vertical Lines Lesson 3:   2D Shapes Lesson 4:   Coordinates Lesson 5:   Perimeter and Area Lesson 6:   3D Objects Lesson 7:   Word Problems 4 Lesson 8:   Unit 4 Review
Unit 5:   Data Management and Probability
In this fifth and final unit of Mathematics 2, students will bring their knowledge of data management and probability from the previous course and build on it with the introduction of new concepts in sorting. Mode will be explained, and students will also learn about probability. A thorough review of a variety of charts and graphs will also be done, to ensure a solid foundation of understanding to bring forward to future courses.
Lesson 1:   Sorting Lesson 2:   Mode Lesson 3:   Tally Charts Lesson 4:   Bar Graphs Lesson 5:   Pictographs Lesson 6:   Probability Lesson 7:   Unit 5 Review

Course Material - Various files you can use to enhance teaching.

Title Type Attached to
Counting worksheet Lesson: Counting
Counting - Solutions worksheet Lesson: Counting
Counting homework Lesson: Counting
Counting - Solutions homework Lesson: Counting
Money activity Lesson: Counting
Addition and Subtraction Review I worksheet Lesson: Addition and Subtraction Review I
Addition and Subtraction Review I - Solutions worksheet Lesson: Addition and Subtraction Review I
Addition and Subtraction Review I homework Lesson: Addition and Subtraction Review I
Addition and Subtraction Review I - Solutions homework Lesson: Addition and Subtraction Review I
Naming Numbers worksheet Lesson: Naming Numbers
Naming Numbers - Solutions worksheet Lesson: Naming Numbers
Naming Numbers homework Lesson: Naming Numbers
Naming Numbers - Solutions homework Lesson: Naming Numbers
Number Line worksheet Lesson: Number Line
Number Line - Solutions worksheet Lesson: Number Line
Number Lines homework Lesson: Number Line
Number Lines - Solutions homework Lesson: Number Line
Place Value worksheet Lesson: Place Value
Place Value - Solutions worksheet Lesson: Place Value
Naming Numbers homework Lesson: Place Value
Naming Numbers - Solutions homework Lesson: Place Value
Addition and Subtraction Review II worksheet Lesson: Addition and Subtraction Review II
Addition and Subtraction Review II - Solutions worksheet Lesson: Addition and Subtraction Review II
Addition and Subtraction Review II homework Lesson: Addition and Subtraction Review II
Addition and Subtraction Review II - Solutions homework Lesson: Addition and Subtraction Review II
Multiplication I worksheet Lesson: Multiplication I
Multiplication I - Solutions worksheet Lesson: Multiplication I
Multiplication I homework Lesson: Multiplication I
Multiplication I - Solutions homework Lesson: Multiplication I
Representing Multiplication activity Lesson: Multiplication I
Addition and Subtraction Review III worksheet Lesson: Addition and Subtraction Review III
Addition and Subtraction Review III - Solutions worksheet Lesson: Addition and Subtraction Review III
Addition and Subtraction Review III homework Lesson: Addition and Subtraction Review III
Addition and Subtraction Review III - Solutions homework Lesson: Addition and Subtraction Review III
Base Ten Blocks activity Lesson: Addition and Subtraction Review III
Base Ten Blocks - Solutions activity Lesson: Addition and Subtraction Review III
Vertical Addition and Subtraction - Solutions practice Lesson: Addition and Subtraction Review III
Mental Math Drills practice Lesson: Addition and Subtraction Review III
Mental Math Drills - Solutions practice Lesson: Addition and Subtraction Review III
Multiplication up to 100 worksheet Lesson: Multiplication up to 100
Multiplication up to 100 - Solutions worksheet Lesson: Multiplication up to 100
Multiplication II homework Lesson: Multiplication up to 100
Multiplication II - Solutions homework Lesson: Multiplication up to 100
Base Ten Blocks - Adding activity Lesson: Multiplication up to 100
Multiplication Table activity Lesson: Multiplication up to 100
Base Ten Blocks - Adding - Solutions activity Lesson: Multiplication up to 100
Multiplication Table - Solutions activity Lesson: Multiplication up to 100
Division worksheet Lesson: Division
Division - Solutions worksheet Lesson: Division
Division homework Lesson: Division
Division - Solutions homework Lesson: Division
Dividing by 3 activity Lesson: Division
Multiplication and Division worksheet Lesson: Multiplication and Division
Multiplication and Division - Solutions worksheet Lesson: Multiplication and Division
Multiplication and Division homework Lesson: Multiplication and Division
Multiplication and Division - Solutions homework Lesson: Multiplication and Division
Multiplication Table 2 activity Lesson: Multiplication and Division
Multiplication Table 2 - Solutions activity Lesson: Multiplication and Division
Distributive Property of Multiplication worksheet Lesson: Distributive Property of Multiplication
Distributive Property of Multiplication - Solutions worksheet Lesson: Distributive Property of Multiplication
Distributive Property of Multiplication homework Lesson: Distributive Property of Multiplication
Distributive Property of Multiplication - Solutions homework Lesson: Distributive Property of Multiplication
Multiplication is Distributive activity Lesson: Distributive Property of Multiplication
Multiplying and Dividing Positive and Negative Numbers worksheet Lesson: Multiplying and Dividing Positive and Negative Numbers
Multiplying and Dividing Positive and Negative Numbers - Solutions worksheet Lesson: Multiplying and Dividing Positive and Negative Numbers
Multiplication and Division with Negative Numbers homework Lesson: Multiplying and Dividing Positive and Negative Numbers
Multiplication and Division with Negative Numbers - Solutions homework Lesson: Multiplying and Dividing Positive and Negative Numbers
Working With Negative Numbers activity Lesson: Multiplying and Dividing Positive and Negative Numbers
Multiplication and Division by 1, 2, 5 and 10 worksheet Lesson: Multiplication and Division by 1, 2, 5 and 10
Multiplication and Division by 1, 2, 5 and 10 - Solutions worksheet Lesson: Multiplication and Division by 1, 2, 5 and 10
Multiplication and Division by 1, 2, 5 and 10 homework Lesson: Multiplication and Division by 1, 2, 5 and 10
Multiplication and Division by 1, 2, 5 and 10 - Solutions homework Lesson: Multiplication and Division by 1, 2, 5 and 10
Multiplication and Division of Integers up to 100 practice Lesson: Multiplication and Division by 1, 2, 5 and 10
Multiplication and Division of Integers up to 100 - Solutions practice Lesson: Multiplication and Division by 1, 2, 5 and 10
Expressions worksheet Lesson: Expressions
Expressions - Solutions worksheet Lesson: Expressions
Expressions homework Lesson: Expressions
Expressions - Solutions homework Lesson: Expressions
Order of Operations worksheet Lesson: Order of Operations
Order of Operations - Solutions worksheet Lesson: Order of Operations
Order of Operations homework Lesson: Order of Operations
Order of Operations - Solutions homework Lesson: Order of Operations
Expressions 2 worksheet Lesson: Expressions 2
Expressions 2 - Solutions worksheet Lesson: Expressions 2
Expressions II homework Lesson: Expressions 2
Expressions II - Solutions homework Lesson: Expressions 2
Expressions 3 worksheet Lesson: Expressions 3
Expressions 3 - Solutions worksheet Lesson: Expressions 3
Expressions 3 homework Lesson: Expressions 3
Expressions 3 - Solutions homework Lesson: Expressions 3
Expressions 4 worksheet Lesson: Expressions 4
Expressions 4 - Solutions worksheet Lesson: Expressions 4
Expressions 4 homework Lesson: Expressions 4
Expressions 4 - Solutions homework Lesson: Expressions 4
Expressions 3 practice Lesson: Expressions 4
Expressions 3 - Solutions practice Lesson: Expressions 4
Word Problems 1 worksheet Lesson: Word Problems 1
Word Problems 1 - Solutions worksheet Lesson: Word Problems 1
Word Problems 1 homework Lesson: Word Problems 1
Word Problems 1 - Solutions homework Lesson: Word Problems 1
Remainder worksheet Lesson: Remainder
Remainder - Solutions worksheet Lesson: Remainder
Remainder homework Lesson: Remainder
Remainder - Solutions homework Lesson: Remainder
Division and Fractions worksheet Lesson: Division and Fractions
Division and Fractions - Solutions worksheet Lesson: Division and Fractions
Division and Fractions homework Lesson: Division and Fractions
Division and Fractions - Solutions homework Lesson: Division and Fractions
Splitting Numbers Into Factors worksheet Lesson: Splitting Numbers Into Factors
Splitting Numbers Into Factors - Solutions worksheet Lesson: Splitting Numbers Into Factors
Splitting Numbers Into Factors homework Lesson: Splitting Numbers Into Factors
Splitting Numbers Into Factors - Solutions homework Lesson: Splitting Numbers Into Factors
Prime and Composite Numbers worksheet Lesson: Prime and Composite Numbers
Prime and Composite Numbers - Solutions worksheet Lesson: Prime and Composite Numbers
Prime and Composite Numbers homework Lesson: Prime and Composite Numbers
Prime and Composite Numbers - Solutions homework Lesson: Prime and Composite Numbers
Word Problems 2 worksheet Lesson: Word Problems 2
Word Problems 2 - Solutions worksheet Lesson: Word Problems 2
Wolf, Goat and Cabbage Riddle activity Lesson: Word Problems 2
Wolf, Goat and Cabbage Riddle - Solutions activity Lesson: Word Problems 2
Word Problems 2 homework Lesson: Word Problems 2
Word Problems 2 - Solutions homework Lesson: Word Problems 2
Unit 1 Review worksheet Lesson: Unit 1 Review
Unit 1 Review - Solutions worksheet Lesson: Unit 1 Review
Unit 1 Review homework Lesson: Unit 1 Review
Unit 1 Review - Solutions homework Lesson: Unit 1 Review
Unit Test A - Solutions test Lesson: Unit 1 Review
Unit Test A test Lesson: Unit 1 Review
Unit Test B - Solutions test Lesson: Unit 1 Review
Unit Test B test Lesson: Unit 1 Review
Unit Test C - Solutions test Lesson: Unit 1 Review
Unit Test C test Lesson: Unit 1 Review
Unit Test D - Solutions test Lesson: Unit 1 Review
Unit Test D test Lesson: Unit 1 Review
Basics of Algebra worksheet Lesson: Basics of Algebra
Basics of Algebra - Solutions worksheet Lesson: Basics of Algebra
Basics of Algebra homework Lesson: Basics of Algebra
Basics of Algebra - Solutions homework Lesson: Basics of Algebra
Patterns I worksheet Lesson: Patterns I
Patterns I - Solutions worksheet Lesson: Patterns I
Patterns I homework Lesson: Patterns I
Patterns I - Solutions homework Lesson: Patterns I
Don't Play With Matches activity Lesson: Patterns I
Patterns II worksheet Lesson: Patterns II
Patterns II - Solutions worksheet Lesson: Patterns II
Patterns II homework Lesson: Patterns II
Patterns II - Solutions homework Lesson: Patterns II
Expressions 5 worksheet Lesson: Expressions 5
Expressions 5 - Solutions worksheet Lesson: Expressions 5
Expressions 5 homework Lesson: Expressions 5
Expressions 5 - Solutions homework Lesson: Expressions 5
Expressions 6 worksheet Lesson: Expressions 6
Expressions 6 - Solutions worksheet Lesson: Expressions 6
Expressions 6 homework Lesson: Expressions 6
Expressions 6 - Solutions homework Lesson: Expressions 6
Equalities worksheet Lesson: Equalities
Equalities - Solutions worksheet Lesson: Equalities
Equalities homework Lesson: Equalities
Equalities - Solutions homework Lesson: Equalities
Inequalities worksheet Lesson: Inequalities
Inequalities - Solutions worksheet Lesson: Inequalities
Inequalities homework Lesson: Inequalities
Inequalities - Solutions homework Lesson: Inequalities
Equations worksheet Lesson: Equations
Equations - Solutions worksheet Lesson: Equations
Equations homework Lesson: Equations
Equations - Solutions homework Lesson: Equations
Cognitive Skills worksheet Lesson: Cognitive Skills
Cognitive Skills - Solutions worksheet Lesson: Cognitive Skills
Cognitive Skills homework Lesson: Cognitive Skills
Cognitive Skills - Solutions homework Lesson: Cognitive Skills
Cognitive Skills practice Lesson: Cognitive Skills
Cognitive Skills - Solutions practice Lesson: Cognitive Skills
Word Problems 3 worksheet Lesson: Word Problems 3
Word Problems 3 - Solutions worksheet Lesson: Word Problems 3
Word Problems 3 homework Lesson: Word Problems 3
Word Problems 3 - Solutions homework Lesson: Word Problems 3
Unit 2 Review worksheet Lesson: Unit 2 Review
Unit 2 Review - Solutions worksheet Lesson: Unit 2 Review
Unit 2 Review homework Lesson: Unit 2 Review
Unit 2 Review - Solutions homework Lesson: Unit 2 Review
Unit Test A - Solutions test Lesson: Unit 2 Review
Unit Test A test Lesson: Unit 2 Review
Unit Test B - Solutions test Lesson: Unit 2 Review
Unit Test B test Lesson: Unit 2 Review
Unit Test C - Solutions test Lesson: Unit 2 Review
Unit Test C test Lesson: Unit 2 Review
Unit Test D - Solutions test Lesson: Unit 2 Review
Unit Test D test Lesson: Unit 2 Review
Measuring Distance worksheet Lesson: Measuring Distance
Measuring Distance - Solutions worksheet Lesson: Measuring Distance
Measuring Distance I homework Lesson: Measuring Distance
Measuring Distance I - Solutions homework Lesson: Measuring Distance
Measuring Distance II worksheet Lesson: Measuring Distance II
Measuring Distance II - Solutions worksheet Lesson: Measuring Distance II
Measuring Distance II homework Lesson: Measuring Distance II
Measuring Distance II - Solutions homework Lesson: Measuring Distance II
Creating Units for Distance activity Lesson: Measuring Distance II
Measuring Time I worksheet Lesson: Measuring Time I
Measuring Time I - Solutions worksheet Lesson: Measuring Time I
Measuring Time I homework Lesson: Measuring Time I
Measuring Time I - Solutions homework Lesson: Measuring Time I
Clocks With Roman Numerals activity Lesson: Measuring Time I
Measuring Time II worksheet Lesson: Measuring Time II
Measuring Time II - Solutions worksheet Lesson: Measuring Time II
Measuring Time II homework Lesson: Measuring Time II
Measuring Time II - Solutions homework Lesson: Measuring Time II
Real World Problems worksheet Lesson: Real World Problems
Real World Problems - Solutions worksheet Lesson: Real World Problems
Real World Problems homework Lesson: Real World Problems
Real World Problems - Solutions homework Lesson: Real World Problems
Unit 3 Review worksheet Lesson: Unit 3 Review
Unit 3 Review - Solutions worksheet Lesson: Unit 3 Review
Unit 3 Review homework Lesson: Unit 3 Review
Unit 3 Review - Solutions homework Lesson: Unit 3 Review
Unit Test A - Solutions test Lesson: Unit 3 Review
Unit Test A test Lesson: Unit 3 Review
Unit Test B - Solutions test Lesson: Unit 3 Review
Unit Test B test Lesson: Unit 3 Review
Unit Test C - Solutions test Lesson: Unit 3 Review
Unit Test C test Lesson: Unit 3 Review
Unit Test D - Solutions test Lesson: Unit 3 Review
Unit Test D test Lesson: Unit 3 Review
Points and Lines worksheet Lesson: Points and Lines
Points and Lines - Solutions worksheet Lesson: Points and Lines
Points and Lines homework Lesson: Points and Lines
Points and Lines - Solutions homework Lesson: Points and Lines
Sim Game activity Lesson: Points and Lines
Horizontal and Vertical Lines worksheet Lesson: Horizontal and Vertical Lines
Horizontal and Vertical Lines - Solutions worksheet Lesson: Horizontal and Vertical Lines
Horizontal and Vertical Lines homework Lesson: Horizontal and Vertical Lines
Horizontal and Vertical Lines - Solutions homework Lesson: Horizontal and Vertical Lines
2D Shapes worksheet Lesson: 2D Shapes
2D Shapes - Solutions worksheet Lesson: 2D Shapes
2D Shapes homework Lesson: 2D Shapes
2D Shapes - Solutions homework Lesson: 2D Shapes
Circle and Line Segments activity Lesson: 2D Shapes
Coordinates worksheet Lesson: Coordinates
Coordinates - Solutions worksheet Lesson: Coordinates
Coordinates homework Lesson: Coordinates
Coordinates - Solutions homework Lesson: Coordinates
Perimeter and Area worksheet Lesson: Perimeter and Area
Perimeter and Area - Solutions worksheet Lesson: Perimeter and Area
Perimeter and Area homework Lesson: Perimeter and Area
Perimeter and Area - Solutions homework Lesson: Perimeter and Area
Coloring Areas activity Lesson: Perimeter and Area
3D Objects worksheet Lesson: 3D Objects
3D Objects - Solutions worksheet Lesson: 3D Objects
3D Objects homework Lesson: 3D Objects
3D Objects - Solutions homework Lesson: 3D Objects
Folding a Tetrahedron activity Lesson: 3D Objects
Word Problems 4 worksheet Lesson: Word Problems 4
Word Problems 4 - Solutions worksheet Lesson: Word Problems 4
Word Problems 4 homework Lesson: Word Problems 4
Word Problems 4 - Solutions homework Lesson: Word Problems 4
Unit 4 Review worksheet Lesson: Unit 4 Review
Unit 4 Review - Solutions worksheet Lesson: Unit 4 Review
Unit 4 Review homework Lesson: Unit 4 Review
Unit 4 Review - Solutions homework Lesson: Unit 4 Review
Unit Test A - Solutions test Lesson: Unit 4 Review
Unit Test A test Lesson: Unit 4 Review
Unit Test B - Solutions test Lesson: Unit 4 Review
Unit Test B test Lesson: Unit 4 Review
Unit Test C - Solutions test Lesson: Unit 4 Review
Unit Test C test Lesson: Unit 4 Review
Unit Test D - Solutions test Lesson: Unit 4 Review
Unit Test D test Lesson: Unit 4 Review
Sorting worksheet Lesson: Sorting
Sorting - Solutions worksheet Lesson: Sorting
Sorting homework Lesson: Sorting
Sorting - Solutions homework Lesson: Sorting
Mode worksheet Lesson: Mode
Mode - Solutions worksheet Lesson: Mode
Mode homework Lesson: Mode
Mode - Solutions homework Lesson: Mode
Tally Charts worksheet Lesson: Tally Charts
Tally Charts - Solutions worksheet Lesson: Tally Charts
Tally Charts homework Lesson: Tally Charts
Tally Charts - Solutions homework Lesson: Tally Charts
Bar Graphs worksheet Lesson: Bar Graphs
Bar Graphs - Solutions worksheet Lesson: Bar Graphs
Bar Graphs homework Lesson: Bar Graphs
Bar Graphs - Solutions homework Lesson: Bar Graphs
Pictographs worksheet Lesson: Pictographs
Pictographs - Solutions worksheet Lesson: Pictographs
Pictographs homework Lesson: Pictographs
Pictographs - Solutions homework Lesson: Pictographs
Probability worksheet Lesson: Probability
Probability - Solutions worksheet Lesson: Probability
Probability homework Lesson: Probability
Probability - Solutions homework Lesson: Probability
Unit 5 Review worksheet Lesson: Unit 5 Review
Unit 5 Review - Solutions worksheet Lesson: Unit 5 Review
Unit 5 Review homework Lesson: Unit 5 Review
Unit 5 Review - Solutions homework Lesson: Unit 5 Review
Unit Test A - Solutions test Lesson: Unit 5 Review
Unit Test A test Lesson: Unit 5 Review
Unit Test B - Solutions test Lesson: Unit 5 Review
Unit Test B test Lesson: Unit 5 Review
Unit Test C - Solutions test Lesson: Unit 5 Review
Unit Test C test Lesson: Unit 5 Review
Unit Test D - Solutions test Lesson: Unit 5 Review
Unit Test D test Lesson: Unit 5 Review

Evaluations are designed to engage students in mastering their skills

 Counting Forward and Backward Counting by 2, 5 and 10 Adding Numbers - Level 1 Subtracting Numbers - Level 1 Naming Numbers Multiplication - Level 1 Vertical Addition - Level 1 Vertical Addition - Level 2 Vertical Subtraction - Level 1 Vertical Subtraction - Level 2 Multiplication - Level 2 Division Multiplication and Division Distributive Property Evaluating Simple Expressions Word Problems Remainder Even or Odd? Word Problems Simple Visual Patterns Counting Patterns Evaluating Expressions Simple Equalities Missing Factors Missing Values Quantitative Problems Reading Time Units for Time Days of the Week Months of the Year Perimeter Perimeter and Area Missing Side Sorting Data Bar Graphs Probability