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ASSET
Recommends... Reviewed
Sites Making Connections Across the Curriculum
The
following resources have been reviewed by ASSET and evaluated
for their educational content and alignment to the Arizona
Academic Standards. They include engaging activities for
learners from Thinkfinity* and other trusted sources and
they model appropriate use of technology to address individual
learning styles and needs. They provide a supplement to
the PBS Kids Program CYBERCHASE!
"Mathematics
is a highly interconnected discipline. The need to understand
and use a variety of mathematical strategies in multiple
contextual situations has never been greater. Utilization
of mathematics continues to increase in all aspects of
everyday life, as a part of cultural heritage, the workplace,
and in the scientific and technical communities. Todays
changing world will offer enhanced opportunities and options
for those who thoroughly understand mathematics.
Communication, problem solving, reasoning and proof, connections
and representation are the process standards as described
in the Principles and Standards for School Mathematics
from the National Council of Teachers of Mathematics (NCTM).
These process standards are interwoven within all the
content strands of the Arizona Mathematics Standard. The
process standards emphasize ways to acquire and use the
content knowledge.
Mathematics education should enable students to fulfill
personal ambitions and career goals in an informational
age. In the NCTM Principles and Standards document
it asks us to "Imagine a classroom, a school,
or a school district where all students have access to
high-quality, engaging mathematics instruction. There
are ambitious expectations for all, with accommodations
for those who need it". The Arizona Mathematics
Standard Articulated by Grade Level is intended to facilitate
this vision."
Excerpt
from the Introduction page of the Mathematics Standard
Articulated by Grade from the Arizona Department of Education.
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| Understanding
Distance, Speed, and Time Relationships
In this activity, students use a software simulation of
two runners along a track. Students control the speed and
starting point of the runners, watch the race, examine the
graphs, and analyze the time-versus-distance relationships.
Grades
3 - 5
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Arizona
Academic Standard Connection
See connection 1, 4,
7, 13 |
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| Estimating
Angles Turtle Pond
This activity provides opportunities for creative problem
solving while encouraging young students to estimate length
and angle measure. Using the Turtle Pond Applet, students
enter a sequence of commands to help the turtle get to the
pond. Children can write their own solutions using LOGO
commands and input them into the computer. The turtle will
then move and leave a trail or path according to the instructions
given.
Grades 2 5
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Arizona
Academic Standard Connection
See connection 1, 6,
13 |
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| Bridging
Literature and Mathematics by Visualizing Mathematical Concepts
 Math-related,
informational books, Actual Size (Jenkins, 2004) and If
You Hopped Like a Frog (Schwartz, 1999) provide the focus
for this lesson, which connects reading, writing, math,
and science.
Grades: 3 - 5
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Arizona
Academic Standard Connection
See connection 1, 8,
10 |
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| Body
Measurements
People come in all different sizes and can be measured in
lots of different ways. In this lesson, students can make
their own fascinating discoveries and become aware of the
concepts of ratio and proportion as they relate to measuring
features of their own bodies.
Grades: 3 -5
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Arizona
Academic Standard Connection
See connection 1, 6 |
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| Pumpkin
Pie for All
Students get practice using fractions and units of measure
in this "real-life" application of proportional reasoning.
Students are given a recipe for a single pie (which has
8 slices) and asked to decide how much of the ingredients
they would need to make enough for the whole class. Grades
2-7
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Arizona
Academic Standard Connection
See connection 1, 8 |
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to top
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| ASSET
Recommends... This
next group of resources have not been aligned with Arizona
Math Standards, but are useful tools in reinforcing math
instruction.
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| Patterns
in Mathematics
Some people say that mathematics is the science of patterns.
That's not a bad description. Not only do patterns take
many forms over the range of school mathematics, they are
also a unifying theme. This site from the Annenberg/CPB
Math and Science Project allows exploration of Logic, Number,
and Word Patterns.
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| How
Things Work CYBERCHASE in Science
Check out these 5 episodes that relate scientific/engineering
principles with math concepts
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| Funbrain
Suggest these fun online games to your students if practice
is needed with number skills.
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| Mathcats
Engaging online games and interactive applets will help
your students explore math in a way that develops understanding.
For fun projects to do offline, visit the Math Crafts section.
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| Virtual
Math Field Trips
Scholastic has a great website
for virtual field trips to enhance your math instruction.
Tramline
has this great Baking
Bread virtual field trip that helps reinforce measurement
skills.
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| Math
Lesson Plans
http://www.edhelper.com/math_grade3.htm
http://www.edhelper.com/math_grade4.htm
http://www.edhelper.com/math_grade5.htm
Find
math lesson plans, practice worksheets, puzzles, critical
thinking word problems and more. Grade level specific. Not
aligned to Arizona Academic Standards.
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to top
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| Standards
Connection
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Connection
1
Math: Grades 3-5 |
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• Strand
1 Number Sense and Operations |
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Concept 3 Estimation - Use estimation
strategies reasonably and fluently. |
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PO 1. Solve grade-level appropriate problems
using estimation. Gr 3-5 |
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o
PO 2. Use estimation to verify the reasonableness
of a calculation
(e.g., Is 3284 x 343 = 1200 reasonable?).
Gr 4-5
o PO 3. Record estimated and actual linear
measurements for real life objects (e.g.,
length of fingernail; height of desk).
Gr 4-5
o
PO 4. Compare estimations of appropriate
measures to the actual measures. Gr 3
o PO 4. Estimate and measure for distance.
Gr 3
o PO 5. Evaluate the reasonableness of
estimated measures. Gr 3 |
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Connection
2
Math: Grades 3-5 |
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Concept 2: Functions and Relationships -
Describe and model functions and their relationships. |
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o
PO 1 - Describe the rule used in a simple
grade-level appropriate function (e.g.,
T-chart, input/output model, Gr 3-5 |
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Connection
3
Math: Grades 3-5 |
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-
Concept 3: Algebraic Representations |
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o
PO 1. Use variables in contextual situations.
Gr 3 |
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o
PO 2. Use variables in contextual situations.
Gr 4-5 |
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Connection
4
Math: Grades 3-5 |
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Concept 4: Analysis of Change
Analyze change in a variable over time and
in various contexts. |
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o PO 1. Identify the change in a variable
over time (e.g., an object gets taller,
colder, heavier). Gr 3-4
o PO 1. Describe patterns of change:
• constant rate (speed
of movement of the hands on a clock), and
• increasing or decreasing
rate (rate of plant growth). Gr 5
o PO 2. Make simple predictions based on
a variable (e.g., increases in allowance
as you get older). Gr3
o PO 2. Make simple predictions based on
a variable (e.g., increase homework time
as you progress through the grades). Gr4
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Connection
5
Math: Grades 3-5 |
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• Strand
3: Patterns, Algebra, and Functions |
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Concept 1: Patterns
Identify patterns and apply pattern recognition
to reason mathematically. |
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o
PO 1. Communicate a grade-level appropriate
iterative pattern, using symbols or numbers.
o PO 2. Extend a grade-level appropriate
iterative pattern.
o PO 3. Solve grade-level appropriate iterative
pattern problems. |
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Connection
6
Math: Grades 3-5 |
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• Strand
4: Geometry and Measurement |
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Concept 1: Geometric Properties
Analyze the attributes and properties of
2- and 3- dimensional shapes and develop
mathematical arguments about their relationships. |
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o
PO 1. Identify the properties of 2-dimensional
figures using appropriate terminology Gr
4 |
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Connection
7
Math: Grades 3-5 |
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• Strand
4: Geometry and Measurement |
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Concept 4: Measurement - Units of Measure
Geometric Objects
Understand and apply appropriate units of
measure, measurement techniques, and formulas
to determine measurements. |
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o
PO 2. Compute elapsed time using a clock
Gr 4 |
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Connection
8
Math: Grades 3-5 |
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• Strand
4: Geometry and Measurement |
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Concept 4: Measurement - Units of Measure
Geometric Objects
Understand and apply appropriate units of
measure, measurement techniques, and formulas
to determine measurements. |
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o
PO 7. Determine relationships for:
• volume –
cups and gallons,
• weight –
ounces and pounds, and
• money – extend
to amounts greater than one dollar. Gr 3
o PO 6. State equivalent relationships (e.g.,
3 teaspoons = 1 tablespoon, 16 cups = 1
gallon, 2000 pounds = 1 ton). Gr 4
o PO 3. Determine relationships including
volume (e.g., pints and quarts, milliliters
and liters). Gr 5 |
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Connection
9
Math: Grades 3-5 |
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• Strand
4: Geometry and Measurement |
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Concept 2: Transformation of Shapes
Apply spatial reasoning to create transformations
and use symmetry to analyze mathematical
situations. |
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o
PO 1. Recognize same shape in different
positions (turn/rotation). Gr 3 |
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Connection
10
Language Arts Reading : Grade 4 |
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• Strand
3: Comprehending Informational Text |
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Concept 2: Functional Text
Identify, analyze, and apply knowledge of
the purpose, structures, clarity, and relevancy
of functional text. |
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o
PO 2. Interpret details from functional
text for a specific purpose (e.g., to follow
directions, to solve problems, to perform
procedures, to answer questions). |
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Connection
11
Technology |
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• Standard
4: Technology Communications Tools |
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4T-E2. Use technology tools for individual
and collaborative writing, communication
and publishing activities to create curricular
related products for audiences inside and
outside the classroom |
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o
PO 1. Plan, design and present an academic
product using technology tools (e.g., multimedia
authoring, presentation software, digital
cameras, scanners, projection devices) |
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Connection
12
Technology |
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• Standard
3: Technology Productivity Tools
Students use technology tools to enhance
learning, to increase productivity and creativity,
and to construct technology-enhanced models,
prepare publications and produce other creative
works. |
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3T-E2. Use a variety of technology tools
for data collection and analysis |
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o
PO 2. Create and use a spreadsheet to analyze
data (e.g., use formulas, create charts
and graphs) |
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Connection
13
Technology |
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• Standard
3: Technology Productivity Tools
Students use technology tools to enhance
learning, to increase productivity and creativity,
and to construct technology-enhanced models,
prepare publications and produce other creative
works. |
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3T-E2. Use a variety of technology tools
for data collection and analysis |
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o
PO 1. Use technology device(s) to collect
and record data (e.g., science probe, graphing
calculator, PDA {personal digital assistant},
alternative keyboards, webcams, GPS and
Internet) |
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*
Thinkfinity is a resource provided free of charge to all
AZ K-12 public school educators under the Curriculum, Instruction,
and Professional Development link in the IDEAL Learning
Environment. For information on creating your own IDEAL
account and accessing this tool go to https://www.ideal.azed.gov |
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