Khan Academy Curriculum
South Africa
Table of Contents
Introduction ...................................................................................................................................................................................................3 Unit Targets for the Year:................................................................................................................................................................................4 1. Addition & Subtraction ...............................................................................................................................................................................5 2. Multiplication & Division.............................................................................................................................................................................6 3. Negative Numbers ......................................................................................................................................................................................7 4.1 Number Properties....................................................................................................................................................................................8 4.2 Order of Operations ..................................................................................................................................................................................8 5. Factors and Multiples.................................................................................................................................................................................9 6. Fractions ..................................................................................................................................................................................................10 Fractions Continued......................................................................................................................................................................................11 7. Decimals ..................................................................................................................................................................................................12 8.1 Percents..................................................................................................................................................................................................13 8.2 Ratios and Proportions............................................................................................................................................................................13 9. Exponents .................................................................................................................................................................................................14 10. Solving Linear Equations .........................................................................................................................................................................15 11. Graphing Linear Equations ......................................................................................................................................................................16 12. Exponents and Radicals...........................................................................................................................................................................17 13. Logarithms ..............................................................................................................................................................................................18 2 Introduction The videos and exercises prescribed here are intended for learners anywhere between grade seven and grade nine. However, there is no reason that it should not be used for earlier grades or later grades. You can use your judgement as to where you would like to begin. While we use the terminology Quarter 1, Quarter 2, Quarter 3, Quarter 4, this does not imply that your pilot need commence at the start of the year. Whether you start in January or May or September, we recommend beginning at the material assigned for Quarter 1 and working through the units in sequential order. Unit Targets On the next page you will see Term 1-­‐4 unit targets. This is to give you an idea of how much material you should aim to cover each term. This is a best estimate. You may move faster/slower some terms. You will soon get a feel for how fast you can move your class through the units. Key to Reading Curriculum: The curriculum is split into units and each unit is displayed on a new page. In some cases, for longer units, the units are displayed over two pages. Each unit is divided into two columns – videos and exercises. These two columns contain ALL of the videos and ALL of the exercises available on the Khan Academy website. Because we do not intend cover all videos and exercises, only those shadowed in grey should be covered. Next to the video column is a column that indicates how long each video is. This will help you to budget your time if you plan to watch videos in class as in some classes you may wish to watch more than one video. The O/N in the columns headed “O/N” stand for ‘Optional’ and ‘Numeric.’ Again, this corresponds to videos/exercises that are part of the Numeric Curriculum and those that are optional. Faster learners may enjoy venturing into the optional material. 3 Unit Targets for the Year: Quarter 1: Addition and Subtraction Multiplication and Division Negative Numbers Quarter 2: Number Properties Order of Operations Factors and Multiples Fractions Quarter 3: Solving Linear Equations Percents Ratios and Proportions Exponents Quarter 4: Graphing Linear Equations Logarithms Exponents and Radicals 4 1. Addition & Subtraction O/N
O
O
O
N
O
O
N
N
N
N
N
O
O
N
N
N
N
O
O
Addition and subtraction
Time
Basic Addition
7:42
Addition 2
12:26
Basic Subtraction
8:32
Subtraction 2
12:32
Subtracting Whole Numbers
2:54
Level 2 Addition
9:48
Addition 3
8:57
Subtraction 3: Introduction to Borrowing or Regrouping18:26
Why borrowing works
8:33
Addition 4
8:49
Level 4 Subtraction
8:47
Subtraction Word Problem
5:09
Alternate mental subtraction method
5:10
Negative Numbers Introduction
9:36
Adding Negative Numbers
5:41
Adding integers with different signs
5:32
Adding/Subtracting negative numbers
9:15
Adding Whole Numbers and Applications 1
1:32
u09 l1 t2 we4 Adding Real Numbers Application
3:15
O/N
O
O
O
N
N
N
N
N
N
N
O
5 List of Unit Exercises
Addition 1
Addition 2
Subtraction 1
Subtraction 2
Addition 3
Subtraction 3
Addition 4
Subtraction 4
Adding negative numbers
Adding and subtracting negative numbers
Negative number word problems
2. Multiplication & Division O/N
O
O
O
O
N
O
N
N
O
O
O
O
N
N
O
N
O
O
O
O
N
N
N
N
N
N
N
Multiplication and division
Basic Multiplication
Multiplication 2: The Multiplication Tables
Multiplication 3: 10,11,12 times tables
Division 1
Division 2
Dividing Whole Numbers and Applications 1
Multiplication 4: 2-digit times 1-digit number
Multiplication 5: 2-digit times a 2-digit number
Multiplying Whole Numbers and Applications 2
Lattice Multiplication
Why Lattice Multiplication Works
Multiplying Whole Numbers and Applications 4
Multiplication 6: Multiple Digit Numbers
Multiplication 7: Old video giving more examples
Multiplying Whole Numbers and Applications 6
Division 3: More long division and remainder examples
Partial Quotient Division
Level 4 division
Partial Quotient Method of Division 2
Multiplying Whole Numbers and Applications 1
Multiplying and dividing negative numbers
Place Value 1
Place Value 2
Place Value 3
Rounding Whole Numbers 1
Rounding Whole Numbers 2
Rounding Whole Numbers 3
Time
13:20
15:27
12:11
17:02
11:39
2:28
12:08
11:15
3:18
7:15
8:21
1:51
10:27
6:17
2:39
10:07
8:27
9:35
7:56
3:03
8:28
2:25
4:09
5:20
4:23
2:28
1:04
O/N
O
O
O
O
O
O
N
N
O
N
N
O
N
N
N
6 List of Unit Exercises
Multiplication 0.5
Multiplication 1
Multiplication 1.5
Division 0.5
Division 1
Division 1.5
Multiplication 2
Multiplication 3
Arithmetic word problems 2
Multiplication 4
Division 3
Division 4
Multiplying and dividing negative numbers
Place value
Rounding numbers
3. Negative Numbers O/N
N
N
N
N
N
N
Negative numbers
Negative Numbers Introduction
Ordering Negative Numbers
Adding Negative Numbers
Adding integers with different signs
Adding/Subtracting negative numbers
Multiplying and dividing negative numbers
Time
9:36
2:47
5:41
5:32
9:15
8:28
O/N
N
N
N
O
N
7 List of Unit Exercises
Adding negative numbers
Ordering negative numbers
Adding and subtracting negative numbers
Negative number word problems
Multiplying and dividing negative numbers
4.1 Number Properties O/N
N
N
N
N
N
N
N
N
O
O
O
O
O
O
Number properties
Commutative Law of Addition
Commutative Law of Multiplication
Associative Law of Addition
Associative Law of Multiplication
Commutative Property for Addition
The Distributive Property
The Distributive Property 2
Distributive Property Example 1
CA Algebra I: Number Properties and Absolute Value
Identity Property of 1
Identity property of 1 (second example)
Identity property of 0
Inverse Property of Addition
Inverse Property of Multiplication
Time
1:40
1:48
2:10
2:15
3:23
4:56
2:11
5:39
12:02
1:24
1:55
4:46
2:59
3:17
O/N
N
N
N
N
O
List of Unit Exercises
Properties of numbers 1
Distributive property
Number properties terminology 1
Properties of numbers 2
Distributive property with variables
4.2 Order of Operations O/N
N
N
N
N
Order of operations
Introduction to Order of Operations
More Complicated Order of Operations Example
Order of Operations
Order of Operations 1
Time
9:40
5:20
4:27
4:36
O/N List of Unit Exercises
N
Order of operations
8 5. Factors and Multiples O/N
N
N
N
O
N
N
N
O
N
N
Factors and multiples
Prime Numbers
Recognizing Prime Numbers
Recognizing Divisibility
Common Divisibility Examples
Finding Factors of a Number
Prime Factorization
Least Common Multiple
Least Common Multiple (LCM)
Greatest Common Divisor
Algebraic Expression Least Common Multiple
Time
8:13
4:40
6:26
7:55
9:53
4:09
4:01
5:24
6:18
4:40
O/N
N
O
N
N
O
N
N
9 List of Unit Exercises
Prime numbers
Prime factorization
Composite numbers
Divisibility 0.5
Divisibility
Least common multiple
Greatest common divisor
6. Fractions O/N
N
N
N
O
N
N
R
R
N
N
O
N
N
N
N
N
N
N
O
O
O
O
Fractions
Numerator and Denominator of a Fraction
Identifying Fraction Parts
Equivalent fractions
Equivalent Fractions Example
Comparing Fractions
Fractions in lowest terms
Comparing Fractions 2
Ordering Fractions
Proper and Improper Fractions
Mixed numbers and improper fractions
Converting Mixed Numbers to Improper Fractions
Changing a Mixed Number to an Improper Fraction
Changing an Improper Fraction to a Mixed Number
Adding Fractions with Like Denominators
Subtracting Fractions
Finding Common Denominators
Adding Fractions with Unlike Denominators
Adding and subtracting fractions
Adding Mixed Numbers
Adding Mixed Numbers with Unlike Denominators
Subtracting Mixed Numbers
Subtracting Mixed Numbers 2
Time
2:31
2:47
5:49
4:50
2:30
5:42
7:08
7:48
1:41
9:13
4:26
6:43
4:02
3:18
2:26
4:42
4:06
9:48
2:06
5:16
3:59
4:54
O/N
N
N
N
N
N
N
N
N
O
O
N
O
O
N
N
N
O
O
O
N
N
O
10 List of Unit Exercises
Recognizing fractions 0.5
Recognizing fractions
Fraction word problems 1
Simplifying fractions
Equivalent fractions
Equivalent fractions 2
Comparing fractions 1
Comparing fractions 2
Ordering fractions
Ordering numbers
Converting mixed numbers and improper fractions
Comparing improper fractions and mixed numbers
Ordering improper fractions and mixed numbers
Adding fractions with common denominators
Adding fractions
Adding and subtracting fractions
Adding subtracting mixed numbers 0.5
Adding subtracting mixed numbers 1
Adding subtracting mixed numbers 1
Multiplying fractions 0.5
Multiplying fractions
Multiplying mixed numbers 1
Fractions Continued O
O
N
N
O
O
O
N
N
O
O
O
O
O
N
N
O
O
R
R
O
O
Adding Mixed Numbers Word Problem
3:22
Subtracting Mixed Numbers Word Problem
4:41
Adding fractions with different signs
6:22
Multiplying Fractions
2:26
Multiplying Mixed Numbers
4:21
Multiplying Fractions and Mixed Numbers
4:03
Multiplying Fractions Word Problem
3:39
Dividing fractions
8:58
Dividing Fractions Example
3:36
Dividing Fractions Word Problem
2:08
Reciprocal of a Mixed Number
1:41
Dividing Mixed Numbers
2:41
Dividing Mixed Numbers and Fractions
3:22
Converting Fractions to Decimals Example
2:17
Converting fractions to decimals
9:22
Decimals and Fractions
2:42
Coverting Repeating Decimals to Fractions 1
4:03
Coverting Repeating Decimals to Fractions 2
9:06
Representing a number as a decimal, percent, and fraction
5:25
2
Representing a number as a decimal, percent, and fraction
3:32
Points on a number line
1:58
Ordering numeric expressions
9:22
N
N
O
O
N
O
O
O
N
R
11 Dividing Fractions 0.5
Dividing Fractions
Dividing fractions word problems
Converting fractions to decimals
Converting decimals to fractions 1
Converting decimals to fractions 2
Converting repeating decimals to fractions 1
Converting repeating decimals to fractions 2
Converting decimals to percents
Converting percents to decimals
7. Decimals O/N
O
N
N
N
N
O
O
N
N
O
N
O
O
N
O
O
O
O
O
O
O
O
O
O
O
O
O
O
Decimals
Time
Subtracting decimals (old)
8:32
Decimal Place Value
4:00
Decimal Place Value 2
3:31
Decimals on a Number Line
1:39
Rounding Decimals
1:26
Estimation with Decimals
3:01
Comparing Decimals
1:29
Adding Decimals
2:45
Subtracting Decimals
2:08
Subtracting Decimals Word Problem
2:19
Multiplying a Decimal by a Power of 10
3:47
Mulitplication 8: Multiplying decimals (Old video)
9:44
Multiplying Decimals
2:52
Dividing a Decimal by a Power of 10
3:18
Dividing Decimals 2.1
1:51
Dividing decimal
9:27
Dividing Decimals
5:32
Mulitplyling Decimals 3
2:32
Decimals and Fractions
2:42
Converting Fractions to Decimals Example
2:17
Converting fractions to decimals
9:22
Coverting Repeating Decimals to Fractions 1
4:03
Coverting Repeating Decimals to Fractions 2
9:06
Percent and decimals
10:26
Representing a number as a decimal, percent, and fraction
5:25
2
Representing a number as a decimal, percent, and fraction
3:32
Points on a number line
1:58
Ordering numeric expressions
9:22
O/N
N
N
N
O
N
N
O
N
N
O
N
O
O
O
O
N
O
O
O
O
O
12 List of Unit Exercises
Decimals on the number line 1
Decimals on the number line 2
Rounding numbers
Estimation with decimals
Adding decimals 0.5
Adding decimals
Adding decimals 2
Subtracting decimals 0.5
Subtracting decimals
Adding and subtracting decimals word problems
Understanding moving the decimal
Multiplying decimals
Dividing decimals 1
Dividing decimals 2
Dividing decimals
Converting decimals to fractions 1
Converting decimals to fractions 2
Converting fractions to decimals
Ordering numbers
Converting repeating decimals to fractions 1
Converting repeating decimals to fractions 2
8.1 Percents O/N
N
N
O
O
R
R
R
O
O
O
Percents
Time
Describing the Meaning of Percent
3:01
Describing the Meaning of Percent 2
2:22
Identifying Percent Amount and Base
2:32
Representing a number as a decimal, percent, and fraction
3:32
Solving Percent Problems
6:17
Solving Percent Problems 2
4:37
Solving Percent Problems 3
5:26
Growing by a percentage
9:42
Representing a number as a decimal, percent, and fraction
5:25
2
Ordering numeric expressions
9:22
O/N List of Unit Exercises
N
Converting decimals to percents
N
Converting percents to decimals
8.2 Ratios and Proportions O/N
N
N
N
N
O
O
O
R
O
O
O
O
O
O
O
O
O
Ratios and proportions (basic)
Introduction to Ratios (new HD version)
Understanding Proportions
Ratios as Fractions in Simplest Form
Simplifying Rates and Ratios
Find an Unknown in a Proportion 2
Finding Unit Rates
Finding Unit Prices
Unit conversion
Converting units of length
Conversion between metric units
U.S. Customary and Metric units
Converting within the metric system
Converting Gallons to quarts pints and cups
Converting pounds to ounces
Comparing Celsius and Farenheit temperature scales
Converting Farenheit to Celsius
Speed translation
Time
14:13
1:25
1:19
2:28
5:48
2:31
2:01
9:16
8:04
5:16
5:10
4:42
5:17
1:34
2:50
2:58
9:55
O/N
N
O
O
13 List of Unit Exercises
Expressing ratios as fractions
Ratio word problems
Units
9. Exponents O/N
N
N
N
N
N
N
N
Exponents (basic)
Understanding Exponents
Understanding Exponents 2
Level 1 Exponents
Level 2 Exponents
Level 3 exponents
Exponent Rules Part 1
Exponent Rules Part 2
Time
1:55
1:15
9:45
6:25
9:11
9:43
7:43
O/N
N
N
R
O
N
14 List of Unit Exercises
Exponents 1
Exponents 2
Exponents 3
Exponents 4
Exponent rules
10. Solving Linear Equations O/N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
O
N
N
N
O
O
O
N
N
O
O
Solving linear equations
Time
Variables Expressions and Equations
6:55
Variables and Expressions 1
2:00
Evaluating Expressions with Two Variables
1:46
Order of Operations Example
14:23
Simple Equations
11:06
Solving One-Step Equations
1:54
Solving One-Step Equations 2
2:23
Algebra: Linear Equations 1
7:27
One Step Equations
12:30
Evaluate a formula using substitution
1:15
Example of Solving for a Variable
6:58
Solving for a Variable
1:24
Solving for a Variable 2
2:41
Algebra: Linear Equations 2
6:05
Equations 2
8:41
Solving Equations 1
3:04
Two-Step Equations
13:50
New Operator Definitions
6:50
Solving Equations 2
4:06
Equations 3
8:53
Equations with Variables on Both Sides
9:28
Multi-Step Equations
15:01
Multi-step equations 1
4:33
Multi-step equations 2
5:46
Solving Equations with the Distributive Property6:04
Solving equations with the distributive property 4:50
2
Algebra: Linear Equations 3
6:43
Algebra: Linear Equations 4
7:38
O/N Exercise List
N
N
N
N
N
N
N
O
N
N
O
N
N
O
O
O
O
O
O
O
O
O
O
15 Evaluating expressions 1
Evaluating expressions 2
Writing expressions 1
Writing expressions 2
Linear equations 1
One step equations 0.5
One step equations
Solving for a variable
Linear equations 2
New definitions 1
New definitions 2
Linear equations 3
Linear equations 4
Radical equations
Rate problems 0.5
Average word problems
Percentage word problems 1
Percentage word problems 2
Direct and inverse variation
Age word problems
Converting repeating decimals to fractions 1
Converting repeating decimals to fractions 2
Absolute value equations
11. Graphing Linear Equations O/N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
O
N
N
N
O
N
N
Graphing linear equations and inequalities
Quadrants of Coordinate Plane
The Coordinate Plane
Exploring linear relationships
Plotting (x,y) relationships
Plot ordered pairs
Ordered pair solutions of equations
Application problem with graph
Interpreting Linear Graphs
X and Y intercepts
X and Y intercepts 2
Slope of a line
Slope Example
Slope and Rate of Change
Slope and Y-intercept Intuition
Algebra: Slope
Algebra: Slope 2
Algebra: Slope 3
Graphical Slope of a Line
Slope of a Line 2
Slope of a Line 3
Hairier Slope of Line
Graphing a line in slope intercept form
Algebra: Slope and Y-intercept intuition
Algebra: Equation of a line
CA Algebra I: Slope and Y-intercept
Graphing Using Intercepts
Graphing using X and Y intercepts
Time
2:24
6:50
4:58
4:29
2:08
1:29
5:22
5:05
4:08
3:25
4:40
4:03
13:42
5:54
8:27
9:46
6:21
4:00
7:12
5:05
6:32
3:01
8:35
6:45
12:30
12:18
3:58
16 O/N
N
N
N
N
N
N
N
N
N
N
Exercise List
Graphing points
Plugging in values
Graphing points 2
Interpreting linear equations
Solving for the x-intercept
Slope of a line
Line graph intuition
Graphing linear equations
Line graph intuition
Solving for the y-intercept
12. Exponents and Radicals O/N
D
D
D
D
D
D
N
N
D
O
O
N
N
N
N
O
O
O
O
O
O
Exponents and Radicals
Understanding Exponents
Understanding Exponents 2
Exponent Rules 1
Exponent Rules 2
Level 1 Exponents
Level 2 Exponents
Negative Exponent Intuition
Zero, Negative, and Fractional Exponents
Level 3 exponents
Exponent Rules Part 1
Exponent Rules Part 2
Exponent Properties 1
Exponent Properties 2
Exponent Properties 3
Exponent Properties 4
Exponent Properties 5
Exponent Properties 6
Exponent Properties 7
Exponent Properties Involving Products
Negative and Positive Exponents
Exponent Properties Involving Quotients
Time
1:55
1:15
2:29
3:58
9:45
6:25
4:38
14:04
9:11
9:43
7:43
2:36
5:12
2:35
3:07
2:50
4:19
4:51
14:00
2:19
9:22
O/N
D
D
N
N
D
17 Exercise List
Exponents 1
Exponents 2
Exponents 3
Exponents 4
Exponent rules
13. Logarithms O/N
N
N
N
N
N
N
O
O
O
O
O
O
O
O
O
O
O
Logarithms
Time
Introduction to Logarithms
9:47
Logarithm of a Power
4:49
Sum of Logarithms with Same Base
5:04
Introduction to logarithm properties
9:14
Introduction to logarithm properties (part 2)
10:04
Using Multiple Logarithm Properties to Simplify 2:10
Change of Base Formula
7:32
Logarithmic Scale
11:15
Richter Scale
11:19
Logarithmic Equations
1:27
Solving Logarithmic Equations
4:13
Proof: log a + log b = log ab
7:08
Proof: log_a (B) = (log_x (B))/(log_x (A))
7:25
Proof: A(log B) = log (B^A), log A - log B = log 7:57
(A/B)
Natural Logarithm with a Calculator
3:37
Calculator for Natural Logarithms
1:09
Graphing Natural Logarithm Function
9:13
O/N Exercise List
N
Logarithms 1
N
Logarithms 2
18