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, 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 http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fractions
http://nlvm.usu.edu/en/nav/frames_asid_105 |
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 |
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 |
Q&A |
| 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 |
| Q&A | a. | Estimate measurements and evaluate reasonableness of results | http://www.aaamath.com/est.html |
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 |