Grade 6  Mathematics
Correlation Between the Texas Essential Knowledge and Skills for Mathematics and the eTAP Lessons

Number, Operation and Quantitative Reasoning | Solving Problems Using Addition, Subtraction, Multiplication and Division | Proportional Relationships | Letters as Variables | Letters to Represent an Unknown Geometric Vocabulary | Estimation and Measurement | Probability | Statistics

Click here for summary test on all skills. Below the eTAP lessons are provided for skills when the student has an incorrect answer.

Topics marked by yellow are accessible from the Demo. You need to become a subscribing Member to access other lessons.

6.1. Number, Operation and Quantitative Reasoning

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q&A a. Compares and orders non-negative rational numbers. Order and Compare Whole Numbers and Decimals

Compare and Order Positive and Negative Fractions, Decimals, Mixed Numbers

Comparing Fractions and Decimals Q&A
http://www.321know.com/cmp41bx2.htm
Q&A b. Generates equivalent forms of rational numbers including whole numbers, fractions and decimals.

Fractions and Decimals – Same Concept

Percents and their Interpretations Decimals,
Fractions, Mixed Numbers, and Positive and Negative Integers on the Number Line

Percent, Decimals, and Fractions

Discovering Math: Number Theory Q&A
Q&A c. Use integers to represent real-life situations Problems Involving Addition, Subtraction, Multiplication, and Division    Discovering Math: Problem Solving Q&A
Q&A d. Write prime factorizations using exponents Factoring Simple Whole Numbers
Factoring Prime Numbers
 Pumped-Up World of Pre-Algebra, The, Program 1: The Basics Q&A
Q&A e. Identify factors and multiples including common factors and common multiples Factoring Simple Whole Numbers
Factoring Prime Numbers
 Pumped-Up World of Pre-Algebra, The, Program 1: The Basics Q&A
http://www.helpwithfractions.com

 

6.2 The student adds, subtracts, multiplies and divides to solve problems and justify solutions.

Q&A a. Model addition and subtraction situations involving fractions with objects, pictures, words and numbers http://www.bbc.co.uk/skillswise/numbers  Zany World of Basic Math, The, Module 8: Adding and Subtracting Fractions Q&A
Q&A b. Use addition and subtraction to solve problems involving fractions and decimals Addition of Fractions

Addition and Subtraction of Decimals

 Zany World of Basic Math, The, Module 8: Adding and Subtracting Fractions

Zany World of Basic Math, The, Module 6: Working with Decimals
Q&A
Q&A c. Use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates http://nlvm.usu.edu/en/nav/frames_asid_10
5_g_2_t_1.html
 Mathematical Eye: Ratio and Scale Q&A
Q&A d. Estimate and round to approximate reasonable results and to solve problems where exact answers are not required Estimate, Round Off, and Manipulate Very Small and Very Large Numbers Integer Grab Bag Q&A
http://www.aaamath.com/est27a-rounding.html

 

Patterns, relationships and algebraic thinking

6.3 The student solves problems involving proportional relationships.
 

Q&A a. Use ratios to describe proportional situations Interpret and Use Ratios
Use Proportions to Solve Problems
 Mathematical Eye: Ratio and Scale

Zany World of Basic Math, The, Module 10: Ratios and Percents
Q&A
Q&A b. Represent ratios and percents with concrete models, fractions and decimals

Interpret and Use Ratios
Use Proportions to Solve Problems

 Mathematical Eye: Ratio and Scale

Zany World of Basic Math, The, Module 10: Ratios and Percents

Mathematical Eye: Fractions and Percentages
Q&A
Q&A c. Use ratios to make predictions in proportional situations

Interpret and Use Ratios
Use Proportions to Solve Problems

Q&A

 

6.4 The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.

Q&A a. Use tables and symbols to represent and describe proportional and other relationships involving conversions, sequences, perimeter, area, etc. Instruction Formulas
Perimeter Formulas
Area Formulas
Visually Representing Numerical Data
 Mathematical Eye: Shapes and Angles

Project Mathematics: The Story of Pi
Q&A
Q&A b. Generate formulas to represent relationships involving perimeter, area, volume of a rectangular prism, etc., from a table of data. Instruction Formulas
Perimeter Formulas
Area Formulas
Q&A

 

6.5 The student uses letters to represent an unknown in an equation.

Q&A a. Use letters to represent an unknown in an equation. Basic Operations
Changing Words into Math
Operation Algebra: Linear Equations: Ax + By = C

Operation Algebra: Linear Equations: y = mx + b
Q&A

 

Geometry and spatial reasoning.

6.6 The student uses geometric vocabulary to describe angles, polygons, and circles.

Q&A a. Use angle measurements to classify as acute, obtuse or right. Triangles  Many-Sided World of Geometry, The, Program 2: Angles 101

Q&A
Q&A b. Identify relationships involving angles in triangles and quadrilaterals Measuring Angles
Line and Angle Relationships
Angle Relationships
Triangles Sum Conjecture
Polygon Sum Conjecture
 Many-Sided World of Geometry, The, Program 3: Triangles

Q&A
Q&A c. Describe the relationship between radius, diameter and circumference of a circle Perimeter Formulas Mathematical Eye: Circles

Project Mathematics: The Story of Pi
Q&A

 

6.7 The student uses coordinate geometry to identify location in two dimensions.
 

Q&A a. The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers. Ordered Pairs Mathematical Eye: Maps and Coordinates

Q&A

 

Measurement

6.8 The student solves application problems involving estimation and measurement of length, area, time, temperature, capacity, weight, and angles.
 

Q&A a. Estimate measurements and evaluate reasonableness of results  Mathematical Eye: Near Enough Q&A
Q&A b. Select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter and circumference), area, time, temperature, capacity, and weight Instruction Formulas
Perimeter Formulas
Area Formulas
Volume Formulas
 Mathematical Eye: Measurement

Many-Sided World of Geometry, The, Program 6: Figuring Out Area
Q&A
Q&A c. Measure angles Measuring Angles  Maths Mansion: Angle Man!

Mathematical Eye: Shapes and Angles
Q&A
Q&A d. Convert measures within the same measurement system (customary and metric) based on relationships between units. Converting Measurements within a System   Many-Sided World of Geometry, The, Program 5: The Pythagorean Theorem Q&A

 

Probability and Statistics

6.9 The student uses experimental and theoretical probability to make predictions.

Q&A a. Construct sample spaces using lists, tree diagrams, and combinations Graphs  Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs

Mathematical Eye: Graphs
Q&A
Q&A b. Find the probabilities of a simple event and its complement and describe the relationship between the two Probability Discovering Math: Probability (Grades 6-8) Q&A

 

6.10 The student uses statistical representations to analyze data.

Q&A a. Draw and compare different graphical representations of the same data Graphs  Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs

Mathematical Eye: Graphs
Q&A
Q&A b. Use median, mode and range to describe data Data Calculations  Discovering Math: Statistics and Data Analysis (Grades 6-8)

Mathematical Eye: Statistics
Q&A
Q&A c. Sketch circle graphs to display data Splitting up the Whole with Pie Graphs  Maps and Globes: Using Graphs Q&A
Q&A d. Solve problems by collecting, organizing, displaying and interpreting data Graphs  Discovering Math: Statistics and Data Analysis (Grades 6-8)

Discovering Math: Probability (Grades 6-8)

Mathematical Eye: Statistics
Q&A