Sixth Grade Programs by Subject 
Sixth Grade Activities Freedom Elementary's Computer Lab. Dr. Walton, teacher. Links are subject to change weekly.
Math 
Concept &
Month 
taught
Alpine District/State Objective 
Starred (*) objectives, every 6th grader must know.
Blue objectives were added by Northridge teachers.
Learn                                              
Practice                                                                                        
Quiz/Test             
Review

August

September
*Pass times tables test to the 12's
The 12 Times Tables
Multiplication Facts

*Demonstrate a working math vocabulary
Math 6 Spy Guy Glossary


*Show place value (counting, reading, and writing to
 1 billion)
Place Value 1
Place Value

Represent
rational
numbers



August
September
Recognize a rational number as a ratio of two integers,
a to b, where b is not equal to zero.



*Change whole numbers with exponents to standard form
(e.g., 2^4=16) and recognize that any non-zero whole 
number to the zero power equals 1 (e.g., 9^0 = 1).
Exponents - 1st half of lesson
Exponent  

UTIPs  - Exponents
*Write a whole number in expanded form using exponents
(e.g., 876,539=8x10^5 + 7x10^4 + 6x10^3 + 5x10^2 + 
3x10^1+ 9x10^0).



*Demonstrate an understanding of Square numbers

Number Cop - Other Games - Perfect Squares

*Express numbers in scientific notation using positive 
powers of ten.

Place Value - Scientific Notation

Relation-
ships and
equivalen-
cies
among
rational
numbers



August 
September
Place rational numbers on the number line.



*Compare and order rational numbers, including positive and negative mixed fractions and decimals, using a variety 
of methods and symbols, including the number line and 
finding common denominators.
Spy Guy - Understanding Integers
Comparing Fractions - Fact 
Sheet


Fractions - Ordering - Fractions
Fractions - Ordering - Decimals
Fraction Inequality 
Ordering Six Digit Numbers
Comparing Fractions Games
Fraction Sorter
Comparing Decimals
     
Comparing Fractions
Find equivalent forms for common fractions, decimals,
percents, and ratios, including repeating or terminating
decimals.
Decifractator


Simplify fractions, decimals,
percent, and ratios.


Relate percents less than 1% or greater than 100% to 
equivalent fractions, decimals, whole numbers, and mixed
numbers.
Spy Guy - Improper Fractions and Mixed Numbers


Recognize that the sum of an integer and its addtitive inverse is zero.



Prime
factoriza-
tions

least
common
multiples

greatest
common
factors

August
September
*Determine whether whole numbers to 100 are prime,
composite, or neither.
Eratosthenes' Sieve

Prime and Composite Numbers
Number Cop - Other Games - Prime Numbers

*Find the prime factorization of composite numbers to 100.
Spy Guy - Factors, Multiples, and Prime Factorization


*Find the greatest common factor and least common multiple for two numbers using a variety of methods (e.g., list of multiples, prime factorization.)
Greatest Common Factor
Least Common Multiple
Least Common Multiple

Greatest Common Factor
Rags to Riches

Money

August
September
*Use Money (counting, comparing and making change)

Money   
Fun Brain - Making Change
Math Playground - Making Change  

Operations


October
to May


Relate fractions to multiplication and division and use this
relationship to explain procedures for multiplying and
dividing fractions.



Recognize the ratios derived from pairs of rows in the 
multiplication table and connect with equivalent fractions.
March



Give mixed number and decimal solutions to division
problems with whole numbers.



Solve
problems
with 
multiple
steps


October
to May
Select appropriate methods to solve a multi-step problem
involving multiplication and division of fractions and
decimals.


Spy Guy - Lottery Tickets
*Use estimation to determine whether results obtained using a calculator are reasonable.

Estimating Percentages


*Use estimation of calculation to compute results, depending 
on the context and numbers involved in the problem.
Spy Guy - Rounding
Comparison Estimator
Fermi Questions Library

* Define, read, and write ratios.  March
Spy Guy - Ratio
Ratios
Determining Ratios

*Solve problems involving ratios and proportions (and find % of numbers)March
Ratios and Proportions
Ratio and Proportion
Proportion Method
Spy Guy - Percents
Rags to Riches - Ratios and Proportions
Troy's Toys

Proficiency
of four
operations

Addition 
and
Subtraction
of
integers

October
to May
*Add, subtract, multiply, and divide whole numbers.

Arithmetic
Addition and Subtraction
Multiplication
Disaster Math

*Add, subtract, multiply, and divide decimals.
Decimals
Spy Guy - Decimals
Fractions and Decimals
Spy Guy - Solving Problems with Decimals
Multiplying with Decimals

*Multiply and divide a multi-digit number by a two-digit
number, including decimals

Fractions and Decimals


*Add, subtract, multiply, and divide fractions and mixed
numbers.
Fractions
Multiply Fractions with circles
Fractions and Decimals
Adding Fractions - Same Denominator
Adding Fractions - Mixed
Denominator

Subtracting Fractions -Same
Denominator
    
Multiplying Fractions 
Divide Fractions with circles

*Add and subtract integers.
How to Add and Subtract
Postive and Negative Numbers

Adding and Subtracting
Integers Gizmo

Virtual Dice - +/- Dice
Adding and Subtracting Integers

Patterns
relations
and
algebraic
expressions

August to 
May
*Analyze algebraic expressions, tables, and graphs to 
determine patterns, relations, and rules.
Spy Guy - Summarizing/
Extending Patterns

Algebra Puzzle

Spy Guy - Handshakes
*Describe simple relationships by creating and analyzing
tables, equations, and expressions.



*Draw a graph and write an equation from a table of values.
Spy Guy - Understanding and Interpreting Graphs

*Draw a graph and create a table of values from an equation.



Problem
Solving


August to
May
*Demonstrate knowledge of properties of multiplication and
addition.



*Demonstrate knowledge of Order of operations (PEMDAS)
Exploring Order of Opera-
tions

Order of Operations Tutor-
ial

Math Frog - Order of Opera-
tions

Order of 
Operations
Pretest

APlus Math
Worksheet
Solve single variable linear equations using a variety of strategies.
Linear Function


Recognize that expressions in different forms can be equivalent and rewrite an expression to represent a quantity in a different way.
Spy Guy - Balancing 
Equations



*Evaluate and simplify expressions and formulas, substituting given values for the variables (e.g., 2x + 4; x=2; 
therefore, 2 (2) + 4 = 8).

Algebra - Solve (y)  Solve (x)
Geometric
Shapes

December
to May
*Identify, classify, and measure planes and solid figures.
Pete's Polygons
Polygons

Shapes


Identify the midpoint of a line segment and the center and 
circumference of a circle.



*Identify angles as vertical, adjacent, complemetary, or
supplementary and provide descriptions of these terms.
Angles and Types of Angles
Classifying Angles


*Develop and use the properties of complementary and
supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle in a triangle or quadrilateral.

Angles - Triangle

Transform-
ing 
geometric
shapes

December
to May
*Rotate a polygon about the origin by a multiple of 90 degrees and identify the location of the new vertices. (Turn)
Transformations - scroll down
Transformations Tutorial
Playing with Rotations


*Translate a polygon either horizontally or vertically on a 
coordinate grid and identify the location of the new vertices. 
(Slide)

Transformations - scroll down
Spy Guy - Slides and Flips
Playing with Translations


Reflect a polygon across either the x- or y-axis and identify the location of the new vertices. (Flip)
Transformations - scroll down
Spy Guy - Slides and Flips
Playing with Reflections


Measure:
Circum-
ference and
area of a
circle

February
*Explore the relationship between the radius and diameter of a circle to the circle's circumference to develop the formula for circumference.



*Find the circumference of a circle using a formula.



Describe pi as the ratio of the circumference to the diameter of a circle.



Decompose a circle into a number of wedges and rearrange the wedges into a shape that approximates a parallelogram to develop the formula for the area of a circle.



*Find the area of a circle using a formula.
Spy Guy - Area and Perimeter
Geometry - Area - Circle

Units of
Measure-
ment

February
Recognize that measurements are approximations and describe how the size of the unit used in measuring affects the precision.

Measure


*Convert units of measurement within the metric system and convert units of measurement within the customary system.
Teaching Measures - metric
Length, Weight, Capacticy - metric Factsheet
Equivalent Customary Measures
Length, Weight, Capacity - metric 

Length, Weight
Capacity
 - metric
Compare a meter to a yard, a liter to a quart, and a kilometer to a mile.



Determine when it is appropriate to estimate or use precise 
measurement when solving problems.



*Derive and use the formula to determine the surface area and volume of a cylinder.
Spy Guy Volume -rectangular prism
Geometry - Surface - Cylinder
        Click on: See Formulas
Geometry - Volume - Cylinder
        Click on: See Formulas


Time - Accuraely measure and estimate

Time   

Data
Analysis


April
Design investigations to answer questions.



*Extend data display and comparisons to include scatter plots and circle graphs.


Reading Percentages in Charts
Pie Chart
Scatter Plot  

Compare two similar sets of data on the same graph and 
compare two graphs representing the same set of data.

Maths - Interpreting Data
Maths - Interpreting Data
Recognize that changing the scale influences the appearance of a display of data.

Bar Chart


*Propose and justify inferences and predictions based on data.



Probability

April
*Write the results of a probability experiment as a fraction
 between zero and one, or an equivalent percent.
Spy Guy - Probability
Probability

*Compare experimental results with theoretical results (e.g., 
experimental: 7 out of 10 tails; whereas, theoretical 5 out of 10 tails.)



Compare individual, small group, and large group results of a probability experiment in order to more accurately estimate the actual probabilities.

Chances
Coin Tossing
Stick or Switch
Virtual Dice