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
primenumber
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
