Cognitive Tutor® Algebra I Software Table of Contents - Carnegie ...

Cognitive Tutor ® Algebra I Software Table of Contents
Unit 1 Linear Patterns
1.1 Demo
1.2 Finding Linear Patterns with Positive Rates of Change
1.3 Finding Linear Patterns with Positive and Negative Rates of Change
1.4 Finding Linear Patterns with Negative Starting Points
Unit 2 Linear Models and First Quadrant Graphs
2.1 Demo
2.2 Graphing with Positive Rates of Change
2.3 Graphing with Positive Rates of Change and Negative Starting Points
2.4 Graphing with Negative Rates of Change and Positive Starting Points
Unit 3 One-Step Linear Equations
3.1 Simplifying Expressions (No Type In)
3.2 Simplifying Expressions (Type In)
3.3 Simplifying Expressions in Equations with Integers (No Type In)
3.4 Simplifying Expressions in Equations with Integers (Type In)
3.5 Simplifying Expressions in Equations with Decimals (No Type In)
3.6 Simplifying Expressions in Equations with Decimals (Type In)
3.7 Solving with Addition and Subtraction (No Type In)
3.8 Solving with Addition and Subtraction (Type In)
3.9 Solving with Multiplication and Division (No Type In)
3.10 Solving with Multiplication and Division (Type In)
3.11 Solving with Negative One (No Type In)
3.12 Solving with Negative One (Type In)
Unit 4 Linear Models and Independent Variables
4.1 Demo
4.2 Finding Independent Variables with Positive Rates of Change
4.3 Finding Independent Variables with Starting Points
4.4 Finding Independent Variables with Negative Rates of Change and
Starting Points
Unit 5 : Ratios and Proportions
5.1 Writing Ratios
5.2 Comparing Rates
5.3 Solving Proportions Using Equivalent Fractions
5.4 Solving Proportions Using Means and Extremes
Unit 6 Linear Models and Ratios
6.1 Modeling Linear Functions with Ratios
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Cognitive Tutor ® Algebra I Software Table of Contents
Unit 7 Two-Step Linear Equations
7.1 Solving with Multiplication (No Type In)
7.2 Solving with Multiplication (Type In)
7.3 Solving with Division (No Type In)
7.4 Solving with Division (Type In)
7.5 Solving with a Variable in the Denominator (No Type In)
7.6 Solving with a Variable in the Denominator (Type In)
Unit 8 : Linear Models and Two Quadrant Graphs
8.1 Demo
8.2 Graphing with Positive Integer Rates of Change
8.3 Graphing with Positive Fractional Rates of Change
8.4 Graphing with Negative Rates of Change
Unit 9 Linear Equations with Similar Terms
9.1 Solving by Combining Like Variable Terms and a Constant with Integers
(No Type In)
9.2 Solving by Combining Like Variable Terms and a Constant with Integers
(Type In)
9.3 Solving by Combining Like Variable Terms with Decimals (No Type In)
9.4 Solving by Combining Like Variable Terms with Decimals (Type In)
9.5 Solving by Combining Like Variable Terms and a Constant with Decimals
(No Type In)
9.6 Solving by Combining Like Variable Terms and a Constant with Decimals
(Type In)
Unit 10 Linear Equations and the Distributive Property
10.1 Using Multiplication and Integers (No Type In)
10.2 Using Multiplication and Integers (Type In)
10.3 Using Multiplication and Decimals (No Type In)
10.4 Using Multiplication and Decimals (Type In)
10.5 Using Multiplication and Large Decimals (No Type In)
10.6 Using Multiplication and Large Decimals (Type In)
10.7 Using Division (No Type In)
10.8 Using Division (Type In)
10.9 Using Division with Additional Variable Term (No Type In)
10.10 Using Division with Additional Variable Term (Type In)
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Cognitive Tutor ® Algebra I Software Table of Contents
Unit 11 Linear Models and the Distributive Property
11.1 Demo
11.2 Modeling with Integer Rates of Change
11.3 Modeling with Fractional Rates of Change
11.4 Modeling using the Distributive Property over Division
11.5 Modeling More Complex Equations
Unit 12 Rational and Irrational Numbers
12.1 Creating Number Line Models
12.2 Ordering Rational and Irrational Numbers
Unit 13 Linear Models and Slope-Intercept Graphs A
13.1 Demo
13.2 Graphing given an Integer Slope and Y-intercept
13.3 Graphing given a Fractional Slope and Y-intercept
Unit 14 Linear Models using Two Points
14.1 Demo
14.2 Modeling Given an Initial Point
14.3 Modeling Given Two Points
14.4 Modeling Given Two Points or an Initial Point
Unit 15 General Linear Form
15.1 Demo
15.2 Defining parts of linear equations in general form
Unit 16 Linear Models in General Form
16.1 Demo
16.2 Modeling linear equations in general form
Unit 17 Literal Equations
17.1 Solving Literal Equations with Variable Terms on the Same Side (No
Type In)
17.2 Solving Literal Equations with Variable Terms on the Same Side (Type In)
17.3 Solving Literal Equations with Variable Terms on Opposite Sides (No
Type In)
17.4 Solving Literal Equations with Variable Terms on Opposite Sides (Type
In)
17.5 Solving literal equations (No Type In)
17.6 Solving literal equations (Type In)
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Cognitive Tutor ® Algebra I Software Table of Contents
Unit 18 Linear Equations with Variables on Both Sides
18.1 Reviewing Solving Equations with Multiplication (No Type In)
18.2 Reviewing Solving Equations with Multiplication (Type In)
18.3 Reviewing Solving Equations with Division (No Type In)
18.4 Reviewing Solving Equations with Division (Type In)
18.5 Solving with Integers (No Type In)
18.6 Solving with Integers (Type In)
18.7 Solving with Decimals (No Type In)
18.8 Solving with Decimals (Type In)
18.9 Solving with Large Decimals (No Type In)
18.10 Solving with Large Decimals (Type In)
Unit 19 Systems of Linear Equations Modeling
19.1 Demo
19.2 Solving Linear Systems using Integers
19.3 Solving Linear Systems using Decimals
Unit 20 Systems of Linear Equations
20.1 Demo
20.2 Solving systems of linear equations by graphing
Unit 21 Graphs of Linear Inequalities
21.1 Demo
21.2 Graphing linear inequalities in two variables
Unit 22 Systems of Linear Inequalities
22.1 Solving systems of linear inequalities
Unit 23 Quadratic Models and Area
23.1 Modeling Quadratic Functions as Area
Unit 24 Squares and Square Roots
24.1 Finding Perfect Squares and Square Roots
24.2 Approximating Square Roots
Unit 25 Quadratic Equation Solving
25.1 Solving Quadratic Equations
Unit 26 Quadratic Models and Vertical Motion
26.1 Using the Vertical Motion Model
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Cognitive Tutor ® Algebra I Software Table of Contents
Unit 27 Exponents
27.1 Writing Numbers as Positive Powers of Ten
27.2 Writing Numbers as Positive Powers of Bases Other than Ten
27.3 Writing Numbers as Negative Powers of Ten
27.4 Writing Numbers as Negative Powers of Bases Other than Ten
27.5 Writing Numbers as Powers of Bases
Unit 28 Scientific Notation
28.1 Writing Numbers in Scientific Notation with Whole Numbers and Positive
Exponents
28.2 Writing Numbers in Scientific Notation with Decimals and Positive
Exponents
28.3 Writing Numbers in Scientific Notation with Whole Numbers and Negative
Exponents
28.4 Writing Numbers in Scientific Notation with Decimals and Negative
Exponents
28.5 Writing Numbers in Scientific Notation
28.6 Comparing Numbers Written in Scientific Notation
Unit 29 Product Rule for Exponents
29.1 Using the Product Rule with a Coefficient of One
29.2 Using the Product Rule with Coefficients
29.3 Using the Product Rule with Multiple Variables
Unit 30 Quotient Rule for Exponents
30.1 Using the Quotient Rule with a Coefficient of One
30.2 Using the Quotient Rule with Coefficients
30.3 Using the Quotient Rule with Multiple Variables
Unit 31 Polynomial Addition and Subtraction
31.1 Adding polynomials
31.2 Adding polynomials with higher orders
31.3 Subtracting polynomials
Unit 32 Quadratics Factoring
32.1 Factoring trinomials with coefficients of one
32.2 Factoring trinomials with positive coefficients
Unit 33 Rational Expressions
33.1 Simplifying rational expressions
33.2 Multiplying and dividing rational expressions
33.3 Adding and subtracting rational expressions
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Cognitive Tutor ® Algebra I Software Table of Contents
Unit 34 Probability
34.1 Finding Simple Probabilities
34.2 Finding Disjoint Probabilities
34.3 Finding Theoretical and Experimental Probabilities
34.4 Finding the Sample Space for Independent Events
34.5 Finding the Sample Space for Dependent Events
34.6 Finding the Sample Space for Independent and Dependent Events
34.7 Finding Compound Probabilities
Unit 35 Measures of Central Tendency
35.1 Finding Mean, Median, Mode, and Range
35.2 Determining Appropriate Measures
35.3 Measuring the Effects of Changing Data Sets
35.4 Finding a Data Value Given a Mean
Unit 36 Pythagorean Theorem
36.1 Finding the Length of the Hypotenuse of a Right Triangle
36.2 Finding the Length of a Leg of a Right Triangle
36.3 Using the Pythagorean Theorem
Unit 37 Linear and Quadratic Transformations
37.1 Shifting vertically using verbal statements
37.2 Shifting vertically using graphs
37.3 Shifting vertically using equations
37.4 Reflecting and dilating using graphs
37.5 Reflecting and dilating using equations
37.6 Shifting horizontally
37.7 Transforming using verbal statements and equations
37.8 Transforming using graphs
37.9 Using two or less transformations using tables of values
37.10 Transforming using verbal statements, graphs, and equations
37.11 Using three or less transformations using tables of values
Unit 38 Exponential Modeling
38.1 Demo
38.2 Modeling equations with starting point of one
38.3 Modeling equations with starting point other than one
38.4 Using regression models
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