Concept
& Month taught 
Alpine
District/State Objective Starred (*) objectives, every 5th grader must know. Blue objectives were added by Northridge teachers. 
Learn

Practice

Quiz/Test


Number Sense: integers whole numbers fractions decimals August 
*Read and write numbers in
standard and expanded form through the billions. Standard form = 1, 475, 934, 214 Expanded form = one billion, four hundred seventyfive million, nine hundred thirtyfour thousand, two hundred fourteen 
What's
Your Name? 
Cookie Dough
to 10,000 Place Value Puzzler to a million Cross Numbers to 100 million Distance to Sun Speed of Light One billion seconds old Bytes in a gigabyte Countries by population Current World Population Internet Usage Statistics Really Big Numbers 


Read and write decimals to
thousandths. 




Demonstrate multiple ways to
represent whole numbers, decimals, fractions, percents, and integers using models and symbolic representations (e.g., 108=2x50+8; 110=102+8; 90%=90 out of 100 squares on a hundred chart). 
What is a Fraction? Shade Find Grammy Mission Magnetite 
Decimals Fractions 

Identify, read, and
locate fractions, mixed numbers, decimals, and integers on the number line. 
Integers:
Number Line 

*Represent repeated factors
using
exponents. 
Galaxy
Power Bar Secret Worlds: The Universe Within 

Describe situations where
integers could be used in the students' environment. 
Integer
Challenge 

Relationships and equiva lencies of integers fractions decimals percents 
Compare fractons by finding a
common denominator. 
Compare Fractions


*Use and place numbers on number line including integers  
Order integers, fractions
(including mixed numbers), and decimals using a variety of methods,
including the numberline. 
Fraction
Game  Exploration  Click on card 
Crack
the Code  Integer A Wrenching Problem  Fractions Decimal Switch Least to Greatest 1Decimal Least to Greatest 2Decimal Genius BoxingInteger <=> 

Rewrite mixed numbers and
improper fractions from one form to the other and represent each using regions, sets of objects, or line segments. 
Improper
Fractions Game 
Improper
Fractions 

Represent commonly used
fractions as decimals and percents in a variety of ways (e.g., models, fraction strips, pictures, calculators, algorithms). 
Fractions
and Decimals 

Model and calculate equivalent
forms of a fraction (including simplest form). 
Illuminations
 Equivalent Fractions 
Equivalent
Fractions Fresh Baked Fractions 

Rename whole numbers as
fractions with different denominators (e.g., 5=5/1, 3=6/2, 1=7/7). 

Number Theory divisibility multiples factors prime number composite October 
Identify patterns with skip
counting and multiples to develop and use divisibility tests for determing whether a whole number is divisible by 2, 3, 5, 6, 9, and 10. 

Rewrite a composite number
between 2 and 50 as a product of only prime numbers. 

*Use strategies for classifying
whole numbers to 50 as prime, composite, or neither. 

*Break a number down into its prime
factorization. 
Interactive Practice  
*Identify factors (common/GCF) of a
number. 

*Memorize and undersand divisibility
rules. 
Divisibility
Rules Divisibility Rules  Tips 

Find common multiples and
factors and apply to adding and subtracting fractions. 

Addition Subtraction September 
*Write and compute addition and
subtraction problems 

*Problem solve using addition and
subtraction with 1 and 2 step problems. 

Multiplication September October Division October 
*Learn multiplication vocabulary and
symbols. 

*Identify the multiples (common) of a
number. 

*Learn division vocabulary and symbols 

Represent
divisionwithremainder using whole numbers, decimals, or fractions. 
Fresh Baked Fractions


Describe the effect of place
value when mulitplying and dividing whole numbers and decimals by 10, 100, and 1000. 

Model multiplication of
fractions and decimals (e.g., tenths mulitplied by tenths, a whole number mulitplied by tenths, or a whole number with tenths multipled by tenths) in a variety of ways (e.g., manipulatives, number line and area models, patterns). 

Solve problems involving one or two operations October 
*Determine when it is
appropriate
to use estimation, mental math strategies, paper and pencil, algorithms, or a calculator. 
Estimation
of Length 
Jigsaw
Puzzle 

Make reasonable estimations of
fraction and decimal sums, differences, and products, including knowing whether results obtained using a calculator are reasonable. 

Write number sentences that can
be used to solve a twostep problem. 
Megaconverter 2 

*Interpret
divisionwithremainder problems as they apply to the environment (e.g., If there are 53 people, how many vans are needed if each van holds 8 people?) 

Proficiency: multiplication division Problem solving: addition subtraction multiplication of decimals and fractions October November December February 
*Multiply multidigit whole
numbers by a twodigit whole number with fluency, using efficient procedures. October 
Draggable
Multiplication 

*Divide multidigit
dividends by
a onedigit divisor with fluency, using efficient procedures. October 
Division Mini Lesson

Math
Magician  Divide Draggable Division 

*Learn fraction, decimal and percent
vocabulary and symbols.
February 

Add and subtract
decimals with
fluency, using efficient procedures. 
Addition of Decimals After reading scroll down to practice 
Concentration Adding on Numberline Change Maker 

*Multiply decimals with
fluency February 

*Learn fraction vocabulary and
symbols. Nov./Dec. 
Tony Fraction's
Pizza Shop 

*Add and subtract fractions with fluency. Nov./Dec.  Add Fractions
with Circles Fractions Workshop 
Fractions
(Add & Subtract) Adding Fractions (like denominator) Subtracting Fractions (like denominator) Fishy Fractions  Add w/ same denominator (Click Maybe Later) Fishy Fractions  Add w/unlike denominator (Click Maybe Later) Fishy Fractions  Subt w/ same denominator (Click Maybe Later) Fishy Fractions  Subt w/ same denominator (Click Maybe Later) 
Add
Fractions 

*Multiply fractions. Nov./Dec./ with fluency Feb.  Multiply
Fractions With Circles 

*Create and compare fractions, mixed numbers, and improper fractions Nov./Dec.  Spy
Guy  Improper Fractions and Mixed Numbers 

*Put fractions into their simplest form/lowest terms. Nov./Dec.  Fishy
Fractions  Simplest Form (Click Maybe Later) 

*Problem solve using 1 and 2 step fraction problems Nov./Dec.  
*Compute a fraction to a decimal to a
percent February 

*Problem solve using 1 and 2 step
problems. Feb. 

Review of Standard 1 
Mathematical Language and Symbols Students Should Use prime, composite, exponent, fractions, numerator, denominator, common denominator, common factor, common multiple, decimals, percents, divisible, divisibility, equivalent fractions, integer, dividend, quotient, divisor, factor, order of operations, simplest terms, various symbols for multiplication and division, mixed numeral, improper fraction 

Predicting and extending patterns using whole numbers decimals fractions April 
*Analyze and make predictions
about numeric patterns, including decimals and fractions. 
Crack
Hacker's Safe 

*Determine a rule for the
pattern
using organized lists, tables, objects, and variables. 
Stop That Creature  
Use algebraic expressions to solve simple realworld problems April 
*Learn algebraic vocabulary and symbols  
*Use properties and the order of
operations involving addition, subtraction, multiplication, division, and the use of parentheses to compute with whole numbers, decimals, and fractions. 
Late
Delivery Operation Order 

*Use patterns, models, and
relationships as contexts for writing and solving simple equations and inequalities with whole number solutions (e.g., 6x__=54; x+3=7) 
Equation
Match Poddle Weighin 

Use spatial reasoning to recognize, describe, and analyze geometric shapes and principles. January 
*Learn geometric vocabulary and symbols 

*Draw, label, and describe line
segments, rays, lines, parallel lines, and perpendicular lines. 
Hidden Picture 

*Draw, label, and define an
angle
as two rays sharing a common endpoint (vertex), and measure angles. 
Spy
Guy  Working with Angles 

*Classify triangles and
quadrilaterals, and circles
and analyze the relationships among the shapes in each classification (e.g., a square is a rectangle). 
Figures
and Polygons 

*Relate pyramids and right
prisms
to the twodimensional shapes (nets) from which they were created. 
Dr.
Gee's 3D Lab 

*Identify properties and
attributes of solids (i.e., right prisms, pyramids, cylinders, cones) and describe them by the number of edges, faces, and vertices as well as the types of faces. 
3D Twirler 

Specify locations in a coordinate plane. January 
*Locate points defined by
ordered
pairs of integers. 
Greg's
Grid Graphs Spy Guy  Ordered Pairs 
What's
the Point? Billy Bug (1 quad) Billy Bug (4 quads) Stock the Shelves 

*Write an ordered pair for a
point in a coordinate plane with integer coordinates. 
Hurkle Planet Hop 

Specify possible paths between
locations on a coordinate plane and compare distances of the various paths. 

Find area of polygons. March 
*Learn geometric vocabulary and symbols 

*Determine the area of irregular
and regular polygons by the composition and decomposition of rectangles, triangles and parallelograms. 
Spy
Guy  Area and Perimeter 

Determine the area of a
trapezoid by the composition and decompositon of rectangles, triangles,
and parallelograms. 

*Compare areas of polygons using
different units of measure within the same measurement stystem (e.g., square feet, square yards). 


Find surface area and volume of three dimensional shapes. March 
*Qualify area by finding the
total number of samesized units of volume needed to fill the space without gaps or overlaps. 

*Recognize that a cube having a
1
unit edge is the standard unit for measuring volume expressed as a cubic unit. 
Spy
Guy  Volume and Displacement 

*Derive and use the formula to
determine the volume of a right prism with a triangular or rectangular base. 
Spy
Guy  Volume and Displacement 

Relate the formulas for the
areas of triangles, rectangles, or parallelograms to the surface area of a right prism. 

*Derive and use the formula to
determine the surface area of a right prism and express surface area in square units. 
Spy
Guy  Surface Area of Prisms 

Use statistical methods to compare data, and propose and justify inferences based on data. May 
*Learn data and probability vocabulary 

*Construct, analyze, and display
data using an appropriate format (e.g., line plots, bar graphs, line graphs). 
Data
Picking Bar Graph Pie Chart Line Graph All the Parts 
Create
a Graph Pie Chart Circle Graph Bar and Line Graphs Stem and Leaf Plotter 
Bar Graph Reading Charts and Graphs Line Graph 

Recognize the differences in
representing categorical and numerical data. 
How
it all Stacks Up 

*Identify minimum and maximum
values for a set of data. 
Histogram 
Minimum and Maximum
? 

*Identify and calculate the
mean,
median, mode, and range. 
Jupiter
is Average Mean Green Machine 
Mode,
Median and Mean Mean, Median and Mode Calculator Graphs (Click on mean, median, and/or mode) Landmark Shark Game 
Mean Median Mode Range Mode, Median and Mean 

Apply basic concepts of probablity. May 
*Describle the results of
experiments involving random outcomes using a variety of notations (e.g., 4 out of 9, 4/9) 
Spinners Random BallPicking Machine Probability 

*Recognize that probability is
always a value between 0 and 1 (inclusively). 

*Express the likelihood of an
outcome in a simple experiment as a value between 0 and 1 (inclusively). 

Review 
Review several of the above
topics in one game. 
Mathonaire Math Lingo  5 
Brainchild 
Links to other school's websites (These
have
not been screened.)
Pony
Express Elementary This includes websites for grades
16.
Harvest
Elementary  Mr. Hunter Click on the triangle to
open a list of sites.