Mathematics and the World We Live In

 

Sixth Grade MATHEMATICS

Tennessee BluePrint Standards with Internet Resources

 

Number and Operations

The student will identify, represent, order, and compare numbers; and estimate, compute, and solve problems.


 

Key

Reporting

Category

 

A

N

Identify the place value of a given digit.   Place value

D

 

Read, write, and represent whole numbers and decimals in expanded notation. AAA

D

 

Develop understanding of equivalent number representations (i.e., fractions, decimals, and percents).

A

N

Represent numbers using a variety of models and equivalent forms (i.e., whole numbers, mixed numbers, fractions, decimals, and percents).

A

N

Compare and order whole numbers, fractions, decimals, and percents using the appropriate symbol (<, >, and =). EZGames

A

N

Connect whole numbers, mixed numbers, fractions, and decimals to locations on the number line. Numercy

D

 

Demonstrate understanding of percents greater than 100 and less than one.

A

N

Connect ratios to a variety of models, real-world situations, and symbolic representations.

D

 

Identify a ratio using three forms: 3 to 5; 3/5; 3:5. Ratio

D

 

Determine if two ratios form a proportion, and find the missing number in a proportion.

A

N

Identify prime and composite numbers up to 50. Hotmath

I

 

Develop meaning for integers using real-world examples.

I

 

Represent integers with concrete objects, pictures, and symbols.

D

 

Develop meaning for number theory concepts (i.e., divisibility, factors, and multiples).

D

 

Explain how arithmetic operations on fractions and decimals affect the results.

 

D

 

Use the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals.   properties

D

 

Use the distributive property to simplify computations with integers, fractions, and decimals.   Distributive property

A

N

Apply order of operations when computing with whole numbers. Learning Wave

Order of Operations Practice Order of Operation

D

 

Apply order of operations when computing with decimals.  My math worksheets

D

 

Use the inverse relationships of addition and subtraction and multiplication and division to simplify computations and solve problems.   

D

 

Compute with whole numbers, fractions, decimals, and percents in problem-solving situations (e.g., mental computation, estimation, calculators, computers, and paper and pencil).

.Dividing Decimals Multiplying Decimals Adding Decimals Subtracting Decimals Money Game

A

N

Compute efficiently and accurately with whole numbers, fractions, and decimals.  Fractions  Decimals  whole numbers

D

 

Analyze procedures for computing with fractions, decimals, and integers.

Integers

A

R

Solve one-step real-world problems involving whole numbers and decimals.  Let’s do Lunch

D

 

Solve one-step real-world problems involving fractions.   Math TV real-world fractions

D

 

Estimate the answers to computations involving whole numbers, fractions, and decimals in real-world problems.

Estimating

Rounding Decimals

A

N

Use estimation to select a reasonable answer to a computation involving whole numbers, fractions, and/or decimals.  Estimation

I

 

Recognize when an estimate is more appropriate than an exact answer in a variety of problem situations.  Estimation     Estimation game

A

N

Select a reasonable solution to a real-world division problem in which the remainder must be considered.

Algebra

 The student will analyze and use symbols to generalize patterns with, use properties of operations, and analyze change in various situations.

D

 

Represent, analyze, and extend geometric and numerical patterns.

A

AT

Extend geometric and numerical patterns. The Math Lab

A

AT

Generalize patterns in data represented in tables. Glencoe Online The Math Score

D

 

Generalize patterns in data represented in graphs. Glencoe Online The Math Score

A

AT

Apply function rules. SOS Math

D

 

Develop an initial conceptual understanding of different uses of variables. The Math Score

D

 

Represent mathematical statements and real-world situations using symbols.FunBrain

A

AT

Select an equation that represents a given mathematical relationship. Regents Prep APlus Math

A

AT

Evaluate algebraic expressions for a given value of the variable. CSTL Purple Math The Math Score

A

AT

Find missing addends or factors represented as variables in simple equations. AAA Math Math.Com

I

 

Model algebraic expressions using manipulatives, technology, and paper and pencil.  Regents Prep

I

 

Make a graph to represent a simple real-world problem or situation. FunBrain

D

 

Describe how changes in one quantity or variable result in changes in another. AAA Math

A

R

Extend rate charts to solve real-world word problems.

 

Geometry

The student will analyze and describe characteristics and properties of 2- and 3-dimensional shapes, locate and specify points on a grid, and use geometric concepts (e.g., symmetry and transformations) and reasoning to solve problems.

D

 

Describe, classify, and understand relationships among types of two-dimensional figures.

KS2 –Shapes classify

A

G

Classify two-dimensional geometric figures using properties.

Polygon Playground

A

G

Classify angles as acute, obtuse, right, and straight.  EdHelper-worksheet

Spy Guy-Working with Angles

Classify Angles

Def. of Angles

D

 

Identify and use appropriate mathematical language to describe characteristics of lines (e.g., parallel, perpendicular, and intersecting).

A

G

Identify parallel, perpendicular, and intersecting lines.

Pairs of Lines Identifying Line Practice

A

G

Classify quadrilaterals using their defining properties.

D

 

Describe similarity and congruence.

D

 

Plot a given set of points in Quadrant I of a coordinate system, use ordered pairs to describe or specify points, and find the distance between 2 points on the x- or y-axis.

BillyBug

A

ME

Determine the distance between two points on the x- or the y- axis in Quadrant I.

A

AT

Use ordered pairs to describe given points in Quadrant 1 of a coordinate system.

MrNussbaumStock the Shelves

Ordered Pair Ordered Pair Practice

A

G

Identify the results of transformations of two-dimensional figures (e.g., slides/translations, flips/reflections, and turns/rotations).

D

 

Predict, and describe the results of transformations of two-dimensional figures (e.g., slides/translations, flips/ reflections, and turns/rotations).  Slides and Flip Learn Alberta

D

 

Describe line and rotational symmetry in two-dimensional figures.

Line Symmetry Practice Rotational Symmetry

D

 

Describe a motion or a series of motions that will show that two shapes are congruent.


 

D

 

Draw two-and three-dimensional geometric figures with specified properties, (e.g., side lengths, angle measure).

Compute third angle of a triangle

D

 

Identify and build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa (e.g., cube, rectangular prism, pyramid, cone, or cylinder).  Illuminations-nets of a cube

A

G

Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation (net) of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder). Paper models of shapes

D

 

Use visualization and spatial reasoning (e.g., geometric models) to solve real-world problems.

 

Measurement

 The student will determine time, length, perimeter, area, weight, capacity, and temperature and solve real-world problems involving measurement.

D

 

Demonstrate understanding of both metric and customary systems of measurement. Fun Brain

A

ME

Convert from one unit to another within the same system (metric and customary).

Conversions

D

 

Identify relationships among units within the same system (metric and customary).

D

 

Identify and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.

A

ME

Select units of appropriate size and type to measure angles, perimeter, area, capacity, volume, and weight.

D

 

Estimate measurements involving length, perimeter, circumference, area, and volume.

A

ME

Use strategies to estimate perimeter and area of rectangles.

Conversions

A

ME

Apply formulas to determine the area of rectangles and triangles.

Area of Triangle

AAA Math

Area of a Rectangle

D

 

Complete investigations to develop formulas to determine the circumference of circles.

D

 

Determine the area of triangles and parallelograms using a formula.

Area of a Parallelogram

Area of a Parallelogram Quiz

D

 

Use a variety of manipulatives to develop formulas to determine the area of trapezoids and circles.

D

 

Explore surface area and volume of selected prisms and cylinders using models and manipulatives.

A

ME

Solve problems involving ratio and proportion.

Ratio & Proportion Ratio & Proportion

A

R

Solve real-world problems involving elapsed time.

Elapsed Time Quiz

Time Difference

Computing Time

A

R

Solve real-world problems involving perimeter and area of rectangles.

Perimeter & Area Perimeter

A

R

Use scales to read maps.

D

 

Solve problems involving measurement using ratio and proportion.

D

 

Recognize the need for measurement precision.

Measurement

 

Data Analysis and Probability

 The student will collect, organize, analyze, interpret, and display data in tables and graphs and determine the probabilities of outcomes in simple experiments.

D

 

Formulate questions, design studies, and collect real-world data.

Cliff Banger

Real-world

D

 

Understand how data-collection methods affect the nature of the data set.

Data

D

 

Examine various representations of data to evaluate how accurately the data is depicted.

Data

A

R

Interpret bar and line graphs to answer questions and solve real-world problems.

Quizville

Using Real School Data to Teach Data Collection Project

D

 

Determine, use, and interpret measures of center and spread (e.g., mean, median, mode, and interquartile range).

Manipulatives

Train Race

A

DP

Determine the mean of a data set.

Math is Fun

Mean, Median, Mode, and Range

Mean Practice

A

DP

Determine the mode of a data set.

MathisFun

Mode

Mode(2)

A

DP

Determine the median from a stem-and-leaf-plot.

Airplane Activity

MathisFun

Stem-and-leaf

Examples

 Constructing Stem-and-Leaf Plots

A

DP

Connect data sets and their graphical representations (i.e., bar graphs, circle graphs, and stem-and-leaf-plots).

Fun & Sun

Stem-and-Leaf

Charts and Graphs in the News

A

AT

Make conjectures and predictions based on data (e.g., in a chart, table, or graph).

Predictions

D

 

Explain the importance of sample size in investigations.

More Wins Activity

D

 

Conduct a survey using random sampling.

How to Conduct a Survey

A

DP

Determine if a sample is biased.

Biased sample

I

 

Make conjectures to formulate new questions for future studies.

I

 

Model situations by devising and carrying out experiments and simulations.

D

 

Make and test conjectures about the results of experiments and simulations.

A

DP

Use a tree diagram or organized list to determine all possible outcomes of a simple compound event.

Tree

Star

Party

Tree Diagram

 Practice

Tutorials

A

DP

Represent the likelihood of an event using a number from 0-1.

Represent

Probability

 

 

 

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Elementary Resources

Worksheets

Sixth Grade

Seventh Grade

Eighth Grade

Algebra I

Secondary Resources

Worksheets

Science Fair

Dynamic Curriculum

Math/Science Integration

Math Online