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.

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

3-2: Compare and Order Positive and Negative Fractions, Decimals, Mixed Numbers

  Q & A
http://www.321know.com/cmp41bx2.htm
Q & A b. Generates equivalent forms of rational numbers including whole numbers, fractions and decimals. GR K-3 6-7: Fractions and Decimals – Same Concept

7-2: Percents and their Interpretations

7-4: Decimals, Fractions, Mixed Numbers, and Positive and Negative Integers on the Number Line

GR 7-8 6-4: Percent, Decimals, and Fractions

Discovering Math: Number Theory Q & A
 
Q & A c. Use integers to represent real-life situations Lesson 4: Problems Involving Addition, Subtraction, Multiplication, and Division
 		  Discovering Math: Problem Solving Q & A
 
Q & A d. Write prime factorizations using exponents 5-1: Factoring Simple Whole Numbers
5-2: Factoring Prime Numbers		  Pumped-Up World of Pre-Algebra, The, Program 1: The Basics Q & A
http://www.purplemath.com/ modules/factnumb.htm
Q & A e. Identify factors and multiples including common factors and common multiples 5-1: Factoring Simple Whole Numbers
5-2: 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.

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q & A a. Model addition and subtraction situations involving fractions with objects, pictures, words and numbers    Zany World of Basic Math, The, Module 8: Adding and Subtracting Fractions Q & A
http://www.bbc.co.uk/skillswise/numbers

http://www.aaaknow.com/fra.htm
Q & A b. Use addition and subtraction to solve problems involving fractions and decimals GR 7-8 4-2: Addition of Fractions

2-5: 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 Lesson 4  Mathematical Eye: Ratio and Scale Q & A
http://nlvm.usu.edu/en/nav/frames_asid_10
5_g_2_t_1.html

http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fractions

http://nlvm.usu.edu/en/nav/frames_asid_105
_g_2_t_1.html

Q & A d. Estimate and round to approximate reasonable results and to solve problems where exact answers are not required 7-1: 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.
 

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q & A a. Use ratios to describe proportional situations 3-3: Interpret and Use Ratios

3-4: 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 3-3: Interpret and Use Ratios

3-4: 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 3-3: Interpret and Use Ratios

3-4: 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.

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q & A a. Use tables and symbols to represent and describe proportional and other relationships involving conversions, sequences, perimeter, area, etc. GR 7-8 9-1: Instruction Formulas

GR 7-8 9-2: Perimeter Formulas

GR 7-8 9-3: Area Formulas

GR 7-8 17-1: 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. GR 7-8 9-1: Instruction Formulas

GR 7-8 9-2: Perimeter Formulas

GR 7-8 9-3: Area Formulas

 Q & A

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

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q & A a. Use letters to represent an unknown in an equation. GR 7-8 11-3: Basic Operations

GR 7-8 12-1: 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.

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
Q & A a. Use angle measurements to classify as acute, obtuse or right. Geometry 1-4: Triangles  Many-Sided World of Geometry, The, Program 2: Angles 101

Many-Sided World of Geometry, The, Program 3: Triangles 		Q & A
http://www.mathsteacher.com.au/
year7/ch08angles/01ang/ang.htm
Q & A b. Identify relationships involving angles in triangles and quadrilaterals Geometry 1-2: Measuring Angles

Geometry  1-3: Line and Angle Relationships

Geometry 3-1: Angle Relationships

Geometry 4-1: Triangles Sum Conjecture

Geometry 6-1: Polygon Sum Conjecture

  Many-Sided World of Geometry, The, Program 3: Triangles

Many-Sided World of Geometry, The, Program 4: Special Triangles

Mathematical Eye: Shapes and Angles		 Q & A
 
Q & A c. Describe the relationship between radius, diameter and circumference of a circle GR 7-8 9-2: 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.
 

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
a. The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers. Algebra 1 10-1: Ordered Pairs Mathematical Eye: Maps and Coordinates

Pumped-Up World of Pre-Algebra, The, Program 5: Algebra Equations

Pumped-Up World of Pre-Algebra, The, Program 3: Roots and Rational Numbers

 

Measurement

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

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
  a. Estimate measurements and evaluate reasonableness of results    Mathematical Eye: Near Enough  
http://www.linkslearning.org/Kids/1_Math/2
_Illustrated_Lessons/2_Estimationof_Lengt
h/index.html

http://www.aaamath.com/est.html
  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 GR 7-8 9-1: Instruction Formulas

GR 7-8 9-2: Perimeter Formulas

GR 7-8 9-3: Area Formulas

GR 7-8 9-5: Volume Formulas

  Mathematical Eye: Measurement

Many-Sided World of Geometry, The, Program 6: Figuring Out Area

Measure for Measure Time and Temperature

 Measure for Measure: Weight		  
 
  c. Measure angles Geometry 1-2: Measuring Angles  Maths Mansion: Angle Man!

Mathematical Eye: Shapes and Angles 		 
http://www.mathsteacher.com.au/year7/
ch08angles/01ang/ang.htm
  d. Convert measures within the same measurement system (customary and metric) based on relationships between units. GR K-3 11-7: Converting Measurements within a System   Many-Sided World of Geometry, The, Program 5: The Pythagorean Theorem  
 

Probability and Statistics

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

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
  a. Construct sample spaces using lists, tree diagrams, and combinations GR 7-8 Lesson 17: Graphs  Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs

Mathematical Eye: Graphs 		 
b. Find the probabilities of a simple event and its complement and describe the relationship between the two GR 7-8 18-2: Probability Discovering Math: Probability (Grades 6-8)

 

6.10 The student uses statistical representations to analyze data.

Pre-Test Texas Essential Knowledge Skills eTAP Lessons Post-Test
Outside Link
  a. Draw and compare different graphical representations of the same data GR 7-8 Lesson 17: Graphs  Pumped-Up World of Pre-Algebra, The, Program 6: Using Graphs

Mathematical Eye: Graphs 		 
  b. Use median, mode and range to describe data GR 7-8 18-4: Data Calculations  Discovering Math: Statistics and Data Analysis (Grades 6-8)

Mathematical Eye: Statistics		  
 
  c. Sketch circle graphs to display data GR 7-8 17-2: Splitting up the Whole with Pie Graphs  Maps and Globes: Using Graphs  
 
  d. Solve problems by collecting, organizing, displaying and interpreting data GR 7-8 Lesson 17: Graphs  Discovering Math: Statistics and Data Analysis (Grades 6-8)

Discovering Math: Probability (Grades 6-8)

Mathematical Eye: Statistics