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# Interactive Math Games

Unit 1:  Number Theory

*Factor practice http://www.coolmath-games.com/0-math-lines-xfactor/index.html

*Prime Factorization http://www.mathgoodies.com/factors/prime_factors.html

*Exponents Lesson http://www.coolmath.com/prealgebra/04-exponents/index.html

Unit 2: Estimation and Computation

*Identify Place Value and Rounding practice http://www.funbrain.com/tens/index.html

*Write big numbers (Place Value) http://www.toonuniversity.com/flash.asp?err=503&engine=15

*Subtraction Lessons http://www.coolmath4kids.com/subtraction/index.html

*The Number Monster gives math practice problems for addition, subtraction, multiplication and division with easy numbers, positives and negatives and decimals.

*Generates decimal math problems ranging from easy to really hard.

*The Timernator is a timed game to see how many math problems you can do in one minute... addition, subtraction, multiplication and division

Unit 3: Geometry Exploration

Congruent Figures

http://www.beaconlearningcenter.com/WebLessons/CongruentConcentration/default.htm#page1

*Lots of interactive games on: http://www.woodlands-junior.kent.sch.uk/maths/shape.htm#Shapes

Shapes

Tangrams

Tessellations

Angles

Coordinates

Symmetry

*3-D Shapes Quiz http://www.purposegames.com/game/3d-shapes-quiz

Unit 4: Division

*Division Lesson http://www.coolmath4kids.com/long-division/index.html

*Just learning long division?  The Number Monster for times tables lets you make long division math problems for the level you are at. http://www.coolmath4kids.com/long-division/number-monster-division.htm

*Long Division Games http://www.kidsnumbers.com/division.php

Unit 5: Fractions, Decimals, and Percents

*Fractions lessons http://www.coolmath.com/prealgebra/01-fractions/index.html

*Decimals Lessons http://www.coolmath.com/prealgebra/02-decimals/index.html

*Percent Lessons http://www.coolmath.com/prealgebra/03-percents/index.html

*Need a teacher at home to teach you about fractions?  Let Zeebo show you how.  You can learn about any of the following topics:

What are fractions?

Mixed Numbers

Equivalent Fractions

Reducing (Simplifying) Fractions

Improper Fractions

Comparing Fractions

Subtracting Fractions

Multiplying Fractions

Dividing Fractions

*Another teacher can be found out AAA Math.  You can learn, practice and play timed games about any of the following topics:

http://www.aaastudy.com/fra.htm

*Fraction bars has 8 interactive games.  You can play Bars and Cards, Equations Game, Fraction Bars Black Jack, Lowest Terms Game, Take a Chance, Number Line Racing, Greater Quotient Game, and Multiplication Game.

*Another Fraction bars site has an additional 8 interactive games.  You can play Beat the Clock, Target Sums, Concentration, Fraction Darts, Hitting Asteroids, 2-Par Golf, Fraction Bar Racing, Fraction Rope Tug.

*Play Math Splat to practice adding and subtracting fractions.  You have to add the two fractions and chose the correct equation.  When you pass one level, it gets harder and it is time to subtract.  Can you squish all the bugs at Math Splat?

*Play Soccer Shootout to practice adding, subtracting, multiplying and/or dividing fractions!!!  If you make a mistake, it will TEACH you how to solve the problem.  There are four different levels: easy, medium, hard, and super brain.  Are you shootout champion???

*What to practice fractional sets of number?  The mystery picture will help.  You have click on the button with the text then click on the number on the left that relates correctly to the text.

*Play Fraction Frenzy to practice matching equivalent fractions.  You have to click on two equivalent fractions, but be careful you are going to be timed.  Don’t let the time run out.

*What something freshly baked???  Try Fresh Baked Fractions.  In this game you have to find the fraction that is NOT equal to the others.  Can you figure out which is not an equivalent fraction?  There are four different levels: easy, medium, hard, and super brain

*Play Saloon Snap to practice matching fractions with decimals and percentages.  You will have to be quick of the draw to beat Fast Fingers Malcolm.  There are three levels to choose from.

*Practice rounding a decimal to the nearest whole number by playing a matching, flashcards, or concentration game.

*Practice conversions for equivalents fractions and decimals by playing a matching, flashcards, or concentration game.

http://www.quia.com/jg/65724.html

Unit 6: Using Data; Addition and Subtraction of Fractions

Unit 8: Fractions and Ratios

Mode, median, and mean

http://www.mathgoodies.com/lessons/vol8/challenge_unit8.html

Stem-and-Leaf Plots

http://olc.spsd.sk.ca/de/MathExtensions/datamgmt/teachers/orgdis/stmleaf.swf

http://www.studyzone.org/mtestprep/math8/e/stemandleaf6p.cfm

Challenging Stem-n-leaf tutorial and practice

http://www.wisc-online.com/objects/ViewObject.aspx?ID=TMH1101

Unit 7: Exponents and Negative Numbers

* Order of Operations http://www.theproblemsite.com/games/onetoten2.asp

Unit 9: Coordinates, Area, Volume, and Capacity

Coordinate Grids
Move Billy Bug to the feeding place with given coordinates.

Direct a robot through a mine field by giving it the correct coordinate in four quadrants

Graphit
A graphing tool that plots both functions and ordered pairs.
www.shodor.org/interactivate/activities/graphit/index.html

Graph Mole
A fun game about plotting points in coordinate plane. Plot points before the mole eats the vegetables.
funbasedlearning.com/algebra/graphing/default.htm

Coordinate Grid Quiz from ThatQuiz.org
This quiz has 10 questions and asks to either plot a point or give the coordinates of a given point. You can also modify the quiz parameters to your liking.
www.thatquiz.org/tq-7/?-j8-l5-m2kc0-na-p0

Area and Perimeter
Area of shapes practice
Area and perimeter of rectangles games
Challenging perimeter practice

Volume

A quiz on the volume of rectangular prisms

Find the volume of the rectangular prism shown with cubes

Find the volume of a rectangular prism with the given volume

Use your math skills to build the house. Calculate the lengths, perimeters, areas and volumes of different parts of the house.

Math Challenge!!!

http://www.mystfx.ca/special/mathproblems/welcome.html

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Games by Unit

General Games

Leveled Practice Worksheets

Resource Websites

GR 5:  Lessons to PA Standards Correlation

 Math Messages   Volume I   Math Messages   Volume II

 Unit 1  Unit 2  Unit 3  Unit 4  Unit 5  Unit 6  Unit 7  Unit 8  Unit 9  Unit 10  Unit 11  Unit 12   PA Standard Specific

Family Letters:

Unit 1 Math Journal Pages

1-1 Introduction to the Student Reference Book

1-2 Rectangular Arrays

 Skills:  Triangular Fact Families Addition/Subtraction Rectangular Arrays to Model Multiplication Facts Rows vs. Columns

Factors vs. Products Worksheet A
Teacher Discussion:  Factories Make Product as a Way to Remember that
Numbers when Multiplied are Factors and they Create Products.  Workers are
the Numbers...the Product is the Answer.

Factors vs. Products Worksheet B
Empty Sheet to Fill with Multiplication Facts

Array Back When:  Understanding Multiplication Video Clip

Mathematics for Primary Multiplication:  Arrays Video Clip

Dot Paper for Arrays

Multiplication Arrays Worksheet

Rows vs. Columns

Chocolate Multiplication Arrays (first 5 min. free)

1-3 Factors

 Skills:  Various Arrays to Model Multiplication Facts (Vary Length and Width) All Possible Factor Combinations to Achieve a Product

Factorize:  Illuminations:  With this activity, you can visually
explore the concept of factors by creating rectangular arrays with an area
equal to the product of the factors.

Product Game Illuminations:  The Product Game is a fun,
interactive game that exercises your skill with factors and multiples

Here is a worksheet version of the Product Game

Factor Grid BBC Grid Game:  Find the factors, multiplies,
powers, prime and triangular numbers from the selection shown on the grid
and see Pythagoras and Hypatia jump for Joy

1-4 The Factor Captor Game

 Skills:  Factor Captor Game List all the Factors for a Number; Example:  28:  1, 2, 4, 7, 14, 28

Factor Captor Game Online version

1-5 Divisibility

 Skills:  Determine if a number is divisible by 2, 3, 4, 5, 6, 9 and 10

Divisibility Reteach  -contains divisibility rules.

1-6 Prime and Composite Numbers

 Skills: Factor Captor Strategies Find Pattern in Number Line and Fill in Missing Numbers Determine if a Number is Prime or Composite

PrimeOMatic This site lets you test to see if a number is
prime and if the number is not prime it provides you with the prime
factorization for that number

Investigating Prime Numbers (05:03) Instead of showing video clip, you
can use the class demonstration ideas yourself.  At the end there is a
cartoon.

1-7 Square Numbers

 Skills:  Use a Dot Array to Illustrate Square Numbers Use buttons on Calculator to find Square Numbers The Number 2 as an Exponent

Investigating Square Numbers (04:49)  2nd half of video clip has great
practical application of square numbers: Stacking Items in a Grocery
Store Display  -classroom activities are modeled if you wish to do

1-8 Un-squaring Numbers

 Skills:  Factor Rainbows Un-Square Numbers ___ x ___ = 81?  Answer:  9 Square Root Button

Factor Trees (First 5 Min. Free) Finding Factors with Area models
(Factor Trees)

1-9 Factor Strings and Prime Factorizations

 Skills:  Make a Factor Tree...at End Create a Factor String using the Prime Numbers

1-10 Progress Check 1

 Skills:  1)   24 plants in a garden....different arrays 2)   List Factors of 24 3)   24 Prime or Composite 5)   Factor Captor Game Strategy 6)   Clues to a Number using a Calendar      -not even, --not a square number, --not prime, --multiple of 5 7)   Write number --- 3 in the ones place, 2 in the hundreds place, etc.       hundred thousand through hundredths. and write number in      words 8)   Prime factorization for 24 9)   Prime factorization for 24 with exponents 10)  Answer:  72  92  36 = ____ 2 etc.  11)  Name a number between 200 and 300 that is not divisible by 2      but is by 3 --- 231 12)  Name a number between 200 and 300 that is divisible by 2, 3,      and 5 -- 210, 240, 270 Open Response:  Clues to a Number

Unit 2 Math Journal Pages

2-1 Estimation Challenge

 Skills:  Estimate Step Length to Determine Distances, Make Estimations on a Map with a Key, Make an Estimation of the Number of Irregular Shapes in a Container Worksheet --Various Flowers in a Box

Why do we Estimate? Reading passage followed by multiple choice
questions.  Like the flowers in a box estimating question, they have
candy.

In Class Activity:  Take several pieces of wrapped candy.  Spread
them out over the classroom floor.  Students count how many are
in one square to estimate how many are spread across the area of
all of the squares.  If you don't want to do candy, you can do
pennies.

2-2 Addition of Whole Numbers and Decimals

 Skills:  Add Whole Numbers and Numbers with Decimals

### One digit (tenths) and two digit (hundredths) additional problems.

 Simple Addition Using Tenths a b c d More Addition Using Tenths a b c d Simple Addition Using Hundredths a b c d More Addition Using Hundredths a b c d

2-3 Subtraction of Whole Numbers and Decimals

 Skills:  Subtract Whole Numbers and Numbers with Decimals

## Decimal Subtraction

Subtract Decimal Tenths A B C D E F G H I J
Subtract Decimal Hundredths A B C D E F G H I J
Subtract Decimal Thousandths A B C D E F G H I J
Subtract Decimal Ten Thousandths A B C D E F G H I J

2-4 Addition and Subtraction Number Stories

 Skills:  Word Problems that Require Addition and Subtraction to Solve Basic Open Number Sentences (Pre-Algebra)

Adding and Subtracting Whole Numbers and Decimals
Provides a little mini lesson with practice word problems that require

These worksheets include a combination of addition and subtraction questions on the same page.
Add and Subtract Decimal Tenths A B C D E F G H I J
Add and Subtract Decimal Hundredths A B C D E F G H I J
Add and Subtract Decimal Thousandths A B C D E F G H I J
Add and Subtract Decimal Ten Thousandths A B C D E F G H I J

 Skills:  Mean (Average), Line Plots

Working with Mode, Median, and Mean (First worksheet is Mode and
Median, second worksheet is Mean.  Answer key provided.)

need maximum minimum mode and rage..

2-6 Chance Events

 Skills:  Circle Spinner Change in %, Decimal, and Fraction  Vocabulary:  Certain, Impossible, Extremely Likely, Extremely Un-Likely, Very Likely, Very Un-Likely, 50-50 Chance, Unlikely Likely Probability Meter Magnitude Estimates (Front End Rounding) for Addition and Subtraction

Chance (06:13)  Introduces Probability--Chance of events happening.
Of the two video clips the next one is better for this lesson.  So if you
are going to show only one....show the next one :)

Certainty and Likelihood (05:10)  Provides examples of Chance
Events that are certain to uncertain.

robability:  Write whether each event is certain, likely, unlikely, or
impossible.

2-7 Estimating Products

 Skills:  Magnitude Estimates (Front End Rounding) for Multiplication

2-8 Multiplication of Whole Numbers and Decimals

 Skills:  Multiplication of Whole Numbers and Number with Decimals, Word Problems that require Multiplication to Solve.  Open Number Sentences (Pre-Algebra)

2-9 The Lattice Method of Multiplication

 Skills:  Multiply Whole Numbers and Numbers with Decimals Using the Lattice Method

2-10 Comparing Millions, Billions, and Trillions

 Skills:  Place Value Puzzles, Seconds, Minutes, Hours, Days, Years

2-11 Progress Check 2

 Skills:  1-6) Add and Subtract Whole Numbers and Numbers with Decimals 7) Legend on map 1 inch = 400 miles.  How many miles in 1.5 inches. 8) 1,500 feet equals how many inches?  how many yards? 9) Place Value Puzzle 10-11) Identify Multiplication Error in Lattice Method and in Partial Product Method 12) Explain how making a magnitude estimate would have helped for 10 and 11 13-14) Make a Magnitude Estimate then solve:  Multiplication of Whole number and then with Number with Decimal top--1 decimal, bottom 2 decimals 15) Describe Probability with Words for 10%, Landing heads, 3/4, and 25% Part B: 16-17) Expanded Notation 18) Maximum, Minimum, Range, Mode, Median 19) Word Problem about Birthday Party... Write needed information, what the question is asking, open sentence, and answer. Open Ended:  Class A (20 Students) each earned \$12.  Class B ( 26 students) each earned 1.5 more than in Class A.  How much in all?

Unit 3:  Geometry Explorations & the American Tour

Unit 3 Study Links and Math Masters

Unit 3 Math Journal Pages

3-1 Introduction to the American Tour

 Skills:  Explore data collection, organization, and interpretation of The U.S. Decennial Census, Read a Chart

3-2 American Tour:  Population Data

 Skills:  Interpret Population Data, Read a Chart Place Value Puzzles, Addition and Subtraction Word Problems

3-3 Exploring Angle Measures

 Skills:  Point, Line Segment, Line, Vertex, Ray, Parallel, Perpendicular, Intersecting, Degrees in a Circle, Triangle, Rectangle, etc.  Different ways to Name and Angle HIK, KIH

3-4 Using a Protractor

 Skills:  Use a Protractor to Measure Angles, Identify Acute, Right, Obtuse, Reflex

3-5 Using a Compass

 Skills:   Learn how to use a Compass.  Parts of a Circle:  Radius, Diameter (may wish to include but is not part of the actual lesson:  chord, arc, sector)  Copy line lengths with compass.  Adjacent and Vertical Angles, Measure Angles in a Shape, Reading a Ruler

3-6 Congruent Triangles

 Skills:  Types of Triangles:  Equilateral, Isosceles, Scalene, Congruent, Copy a Triangle with any Tools but a Protractor

3-7 Properties of Polygons

 Skills:   Game:  Polygon Capture, Regular Polygons Shapes:  Trapezoid, Parallelogram, Rectangle, Rhombus, Square (May wish to review numbers of sides and shape names...not in lesson)

3-8 Regular Tessellations

 Skills:  Shapes Tessellate if they can add up to 360 degrees

3-9 Angles of Polygons

 Skills:  Rip angles off shape and line up to discover total measure of interior angles of a shape.  Also use method of Drawing Triangles.

3-10 Solving Problems Using the Geometry Template

 Skills:  Explore the Geometry Template and Methods of Use

3-11 Progress Check 3

 1-3) Measure Angles and Determine: Acute, Obtuse, Right 4) What is a reflex angle?  Draw an example 5) Place Value Puzzle 6-8) Draw Equilateral, Isosceles, Scalene Triangles 9) How Equilateral and Scalene triangles are the same 10) and one way they are different 11-12) Identify Properties of shapes:  quadrilateral, two side parallel, two angles congruent, regular polygon, angle acute 13) Find missing angle in supplementary angles 14) Find missing angle of triangle 15) tessellation of hexagon 16)  identify Adjacent angles 17) Draw adjacent angles where one is obtuse and one acute then measure them. 18) Use Population chart to determine:  most population, smallest, greatest increase.  19) Use geometry template to create a tessellation using one shape from the template and explain why it is a tessellation.  Open Ended: Reflex Angle + Right Angle + Acute 1 + Acute 2 + Obtuse = 500 Degrees, come up with a solution

Unit 4:  Division

Unit 4 Study Links and Math Masters

Unit 4 Math Journal Pages

4-1 Division Facts and Extensions

 Skills:  Practice Division Facts, Divisiblity by 7, 11, and 13

4-2 The Partial-Quotients Division Algorithm

 Skills:  Solve Division Problems using Partial-Quotient Algorithm --get an answer with a remainder.

4-3 American Tour:  Finding Distances on a Map

 Skills:  Use a map legend to determine distances on a map and vice versa Practice Factor Rainbows and Factor Trees.  (1 inch or 1/2 or 1/4 inch increments)

4-4 Partial-Quotients Algorithm Strategies

 Skills:  More Division with Partial Quotient Strategies Expanded notation 1,235 = 1x 1000, 2 x 100, 3 x 10, 5

1, 10, 100, 1,000; 10,000, 1,000,000 Dollar Bill Graphics  Use these
dollar bills to help students visualize expanded notation with multiplication
of powers of 10.  Have students pretend they are bankers.  How many of
each would you need to represent a number?

4-5 Division of Decimal Numbers

 Skills:  Use magnitude estimation to put decimal in correct location.

4-6 Interpreting the Remainder

 Skills:   Word Problems that use division to solve and have a remainder that needs to be interpreted to round up or down.       ignore it, write as a fraction or decimal, or round up Place Value Puzzles

4-7 Skills Review with "First to 100"

 Skills:  Game:  First to 100 Explore square button on calculator.  Write multi-digit number and estimate magnitude answer, solve with calculator, Triangle and Polygon review.  Study Link--various variable number sentences.  Solve for x.  Solving for Unknown Quantities...use box instead of x.  Algebra Election activity.

4-8 Progress Check 4

 Skills:  Using Map with Key... 1-3) Estimate distance between two cities and  find actual distance 4) Using friendly parts:  84 divided into 6 parts 5) 104 divided into 8 parts 6) 141 divided by 3 and check 7) 624 divided by 8 and check 8)  59.4 divided by 3 use magnitude estimate to place decimal 9) 6,428 divided by 4 use magnitude estimate to place decimal Find value of x: 10) x = 100 - 95 ------ x2 11) x = 1/2 dozen------ 30 x x = _____ 12) Write number sentence and solve.  4 friends rent car \$150, how much each pay? 13) 126 divided by 6    14)  9 x ____ = 243 Part B: 15)  703 divided by 14 16)  482 divided by 34 17)  88.5 divided by 5 with magnitude estimate 18) 2.94 divided by 14 with magnitude estimate 19) Number story 130 photographs.  8 per page.  How many pages? What does the remainder mean? 20) relay race, 4 teams, 30 student in gym class, how many on each team.  Remainder don't race.  Number sentence, solution, what does remainder mean, what id you do with remainder Open Ended:  Missing Digits: 1 2 A 3 B divisible by 4 divisible by 9 A cannot be the same as B

Unit 5 Study Links and Math Masters

Unit 5 Math Journal Pages

5-1 Fraction Review

 Skills:  Numerator Denominator, Parts of a Whole vs. Ratios, Fractional Points on a Number Line, In between Measure ex. on a Cup, Fraction Symbol can mean Division  Finding Fractions of a Whole:  Election Results, Split driving Distances on a Map one person drives: 4/10, 1/10, 1/2, Splitting a Restaurant Bill, Counters (White, Black, etc.)

5-2 Mixed Numbers

 Skills:  Parts of a Hexagon and Whole Hexagons to Illustrate Mixed Number Convert Mixed Numbers to Improper Fractions and vs. Versa Use Pattern Blocks to create Mixed Numbers Identify Fractions on a Ruler, 1/4, 1/8, 1/16 of an inch

5-3 Comparing and Ordering Fractions

 Skills:  Given a fraction of an inch determine what it is closest to      -- 0, 1/2 or 1 inch.  Order Fractions, Complete Equivalent Fractions, Add Fractions with like and Un-like Denominators using Fraction Sticks

5-4 Two Rules for Finding Equivalent Fractions

 Skills:  Use a rectangular model to create Equivalent Fractions by drawing horizontal lines --creates a fraction with a larger numerator and denominator.  Use division to reduce fraction and create an equivalent fraction.  (Multiply or Divide to find Equivalent Fractions) Practice Simplifying Fractions.

5-5 Fractions and Decimals: Part 1

 Skills:  Convert Fractions to denominators of 100 to then convert to decimals.  Shade fraction and decimal values on a grid.  Rounding Decimals (money as well) Memorize certain decimal values for fractions examples:       1/2, 1/4, 1/3, 3/4, etc.

5-6 Fractions and Decimals:  Part 2

 Skills:  Use the Fraction-Stick Chart to find Decimal Values.  Also review Factor Trees and Prime Factorization

5-7 Fractions and Decimals:  Part 3

 Skills:  Divide Numerator by Denominator to find Decimal Value of a Fraction (Student Use a Calculator)

5-8 Using a Calculator to Convert Fractions to Percents

 Skills:  Take a Fraction, Convert it to a Decimal, then to a percent  Discuss Percent means "out of 100"

5-9 Bar and Circle Graphs

 Skills:  Practice Interpreting and Creating Bar and Circle Graphs

5-10 The Percent Circle:  Reading Circle Graphs

 Skills:  Use the Percent Circle on the Geometry Template to Read a Circle Graph.  Practice Measuring Angles and determining if they are acute, obtuse, right.  Find Perimeter and area of rectangles.

5-11 The Percent Circle:  Making Circle Graphs

 Skills:   Use the Percent Circle to make a Circle Graph  Students survey favorite Snack and list data, convert to fraction, convert to percent and make a Circle Graph  (Suggest--fraction to decimal to percent)

5-12 American Tour:  School Days

 Skills:  Read a passage about Schools in the 1900, read statements and determine if they are true and false.  Practice finding the fractions "of" --a bag of cookies, class, 21-mile hike and stopping for lunch at certain points, minutes of class during the school day.

http://www.iptv.org/iowastories/detail.cfm/schoolhouses
Iowa's One Room School House

5-13 Progress Check 5

 Skills:  1-3) Write 3 equivalent fractions for 3/7, 6/9, 9/10 4-5) Convert improper fractions to mixed numbers and mixed numbers to improper fractions 8-10) Using 1 square as a whole and triangles as 1/4 parts, write the mixed numbers modeled.  11-13)  Use fraction sticks to add fractions with like and unlike denominators 14-16) Compare fractions with like denominators, one has a mixed number vs. an Improper fraction > or < 17) Compare fractions with un-like denominators 20) Explain how to find equivalent percent of a fraction without using a calculator (convert to a denominator of 100) 21)  Estimate the size of each piece of a circle graph and then use a percent circle to measure exact.  22) Explain importance of estimation.  23) Given Percents create a circle graph use 24-26) Use percents to determine out of 100, 10 and 50 how many for each piece of the pie Open Ended) Square is divided into different geometric shapes, find and write the correct fraction in each of the figures parts.  Make sure when added the equal 1.

Unit 6:  Using Data; Addition & Subtraction
of Fractions

Unit 6 Study Links and Math Masters

Unit 6 Math Journal Pages

6-1 Organizing Data

 Skills:  Collect Data and Make a Line Plot Find Landmarks:  Minimum, Maximum, Mode, Mean, Median, Range Practice Rounding Numbers to nearest whole number, nearest decimal place value, nearest whole number place value.  Given data, Create a Line Plot then convert to a bar graph, then find Landmark values.  Practice making a Circle Graph (data, fraction, percent)

All Kinds of Graphs --booklet

6-2 Natural Measures of Length

 Skills:  Estimate mm, cm, in, for width of finger, palm, joint, finger stretch (index finger to pinky), great stretch (thumb to pinky), cubit (top of middle finger to elbow, Fathom (distance between both arm spread out), Natural yard (distance between heart and one out stretched arm) Choose appropriate unit of measure for measuring various objects and quantities.  Use a ruler to measure mm and cm -- Metric Conversions between the two.

6-3 Stem-and-Leaf Plots for Hand and Finger Measures

 Skills:   Read and Create Stem-and Leaf Plots.  Practice measuring angles with a 1/2 protractor.

6-4 Mystery Plots

 Skills:  Practice finding landmarks on a Stem-and-Leaf plot.  Given 5 Line Plots determine which goes with which survey question.  Given test scores, students decide if the median or mean would better represent the person success level.

6-5 Sample Size and Sound Conclusions

 Skills:  Students randomly take m&m, combine with partner, and find % of each color using a table.  Discuss Sample Size importance.  Given Landmarks, students create a sample set of data to fit the landmarks.   Identify Whole:  Sue collect #, Tom collects #, John collects # --what percent did Sue collect?

Choosing Samples (10:58) Random Samples, Sample Bias, and
Sampler Errors:  Bats, Beetles, Jelly Fish, Tarantulas

6-6 Analysis of Sample Data

 Skills:  Discuss the definition and purpose of a survey:  a study based on data collected from human respondents.  A population is the set of people, things, or data being studied. Create Frequency Tables, Bar Graphs, Circle Graphs, and Stem-and-Leaf Plots.  Practice finding Landmarks.  Read a Line Plot and Stem-and-Leaf Plot to find Landmarks.

6-7 American Tour:  Climate

 Skills:  Introduce Contour maps and data displays

Identifying Contour Lines and Isobars (06:07) Only show 1st half of
video clip.  Discusses how Contour Maps are make for Elevation...very
good clip to introduce how contour maps are created!!!

Climate in the U.S. (02:21) Overview of U.S. Climate Map with brief
explanation of each type of Climate.  Good Introduction to Lesson

6-8 Using a Slide Rule to Add and Subtract Fractions

 Skills:   Use a Slide Rule (or any other method) to add and subtract fraction and Mixed Numbers with like and unlike denominators.  The lesson's activities emphasize equivalent fractions, but do not require a common denominator.  Practice reading a ruler.

Baking a Cake, Eating Cake, Serving Salsa

http://www.mhschool.com/math/mathconnects/assets/asset_view.html?s=mcg5_cim_10_1&type=CIM

6-9 Clock Fractions and Common Denominators

 Skills:  Determine what fractional hours equal 4/12 of an hour = 1/3 of an hour.  (Not part of lesson but could be included:  1/4 =15 min.  1/3 = 20 min, etc.) Create Equivalent Fractions Practice Adding and Subtracting Fractions with like and un-like denominators by using a common denominator.

6-10 Quick Common Denominators

 Skills:  Add & Subtract Fractions and Compare Fractions by using a Quick Common Denominator--- multiply denominators.  Word Problems and Problem Solving with Fractions.  (Circle Graph, Small Bookcase with Shelves, Distances in City --blocks to miles 1 block = 1/8 mile) --Problem solve on Grid

6-11 Progress Check 6

 Skills:  1-4) Multiple Choice --choose correct definition for Median, Maximum, Mode, and Minimum 5) Given data find the median, and if a statement about a "typical result would be..." is true or false.  Also how to improve survey...ask more students. 6-13) Add and Subtract fractions with like and unlike denominators...one problem is subtract from one.  14) Rectangular fraction drawing is given, students pick correct fractions that match 15) Must convert the two fractions above to equivalent fractions with same denominator. 16)  Given 2 line plots and 3 sample question decide which goes with which.  17)  Given 3 Stem and Leaf Plots circle the ones with the median of 24 and put an x on the ones with a mode of 28.  18) Given a Stem and Leaf Plot and data, find the error and explain and fix.  19) Draw a line 2 3/8 inches.  if you cut off 3/4 what is left.  If you draw another line two times as long as the frist...how long will it be? 20) Horizontal and Vertical Bar Graphs given, find which one best fits data.  If 100, 10, and 50 were surveyed...  Explain how many students you would have interviewed and why.  21) Explain the multiplication rule for creating a common denominator. 22) How to rename 3/5 as a percent without a calculator.

Unit 7:  Exponents and Negative Numbers

Unit 7 Study Links and Math Masters

Unit 7 Math Journal Pages

7-1 Exponential Notation

 Skills:  Identify Base and Exponent in a Number written in Exponential notation.  Write Numbers in expanded form (repeated factors) and Standard Notation Solve with a Calculator using the exponent key.  Identify Mistakes in Exponential Calculations

7-2 Exponential Notation for Powers of 10

 Skills:  Powers of 10 written in Exponential Notation --ones 100 to billions 109 Negative Powers of 10 --tenths 10-1 to trillionths 10-12 Prefixes are introduced:  uni-, deca-, giga-, etc.

7-3 Scientific Notation

 Skills:  Convert Numbers from Scientific Notation to Number and Word and Standard Notation and vice versa.  Write Numbers in Expanded Form and Expanded Form with the sum of multiplication expressions.

7-4 Parentheses in Number Sentences

 Skills:  Solve number sentences with parentheses.  Show how moving parentheses creates different answers.  Given a word problem select the appropriate use of parenthesis.

7-5 Order of Operations

 Skills:  Practice showing how moving parentheses creates different answers.  Use the Order of Operations to solve various number sentences.  Determine if answers are correct based on the Order of Operations.  Write Mixed Numbers and Improper Fractions in Simplest Form.

7-6 American Tour:  Line Graphs

 Skills:  Compare uses for Bar Graphs, Circle Graphs, and Line Graphs and what they illustrate.  Convert a data table into a line graph.  Read and interpret Line Graphs.

7-7 Using Negative Numbers

 Skills:  Given a situation, (5 min. before the race starts) and plot it on a positive/negative number line.  Compare Negative/Negative, Negative/Positive number Positive/Positive values to determine > , < , = List Positive and Negative whole numbers, whole number with decimals, π, fractional values, etc. in order from least to greatest or simply compare two values to determine > , < , =

7-8 Addition of Positive and Negative Numbers

 Skills:  Using Counters, add positive and negative numbers. Practice finding measures on a ruler.  Complete ruler puzzles.  4/8 = ?/16

7-9 Subtraction of Positive and Negative Numbers

 Skills: Using Counters, add positive and negative numbers. Discuss subtracting negative is like adding positive and subtracting positive is like adding negative.

7-10 Using a Slide Rule to Add and Subtract

 Skills:  Use a Slide Rule to Add and Subtract Positive and Negative numbers.

7-11 Calculator Practice:  Working with Negative Numbers

 Skills:  Learn how to use a calculator's negative button to solve operations with negative numbers.

7-12 Progress Check 7

 Skills:  1-9) > , < , = for positive and negative numbers, numbers with exponents, simple problems on left and write of inequality.  10) Identify true number sentences:  positive plus negative, exponents and bases, repeated multiplication and exponential notation, scientific notation, negative minus negative, number with exponent subtract negative numbers, add fractions with like denominator.  11) Given word problem identify the number sentence with the parentheses in the correct location to solve.  12-17) Put parentheses in the correct location to get desired answer.  18-25)  Add and Subtract positive and negative numbers 27-33) Show how to use counters to add and subtract positive and negative numbers.  34) 105, 106, 6 x 107, 3.2 x106 in standard notation and number and word notation 35) Given a line graph answer questions 36) Given data in a chart, create a line graph

Unit 8:  Fractions and Ratios

Unit 8 Study Links and Math Masters

Unit 8 Math Journal Pages

8-1 Review:  Comparing Fractions

 Skills:  Create equivalent fractions.  Determine if fractions are equivalent.  Find the missing number in a equivalent fraction.  Compare fractional values for > , < , or = Fraction Review:  fraction sticks, adding fractions, writing fractions as decimals, etc.  Practice Least Common Multiples

 Skills:  Add fractions and Mixed Numbers with Like and Un-Like denominators.

8-3 Subtracting Mixed Numbers

 Skills:  Add fractions and Mixed Numbers with Like and Un-Like denominators.

8-4 Calculator Practice:  Computation with Fractions

 Skills:  Review putting fractions in order from least to greatest by first determining if they are larger or smaller than 1/2 Game:  Fraction Action, Fraction Friction (Estimate Sums of Fractions and pull cards to see how close you can get to 2 without going over.) Explore Fraction Operation Key on a Calculator Identify fractions that add to one.  Identify fractions that are greater than 3/4 Discover that equivalent fractions convert into the same decimal.

8-5 Fractions of Fractions

 Skills:  Use a number line (ruler) to find fractions of wholes and fractions of fractions.  Example:  1/2 of 3 and 1/4 of 1/2.  Illustrate fraction of fractions using rectangles:  Example:  1/4 of 1/2.  Students divide rectangle in 2 and shade in 1/2.  Then divide the 1/2 section into 4 and shade in 1/4.  Then continue the lines to find that it is 1/8 of the whole rectangle.  Game:  Fraction Spin Make Equivalent Fractions using a Fraction Stick

8-6 An Area Model for Fraction Multiplication

 Skills:  Using Fraction Models learned above, discuss how these models represent fraction multiplication Practice Multiplying Fractions Write the Algorithm for Multiplying Fractions in Words

8-7 Multiplication of Fractions and Whole Numbers

 Skills:  Using the Rectangular Fraction Models, illustrate multiplying fractions by whole numbers.  Practice Multiplying Factions and Whole Numbers Study Link has students Multiplying Fractions and Whole numbers using an in/out box

8-8 Multiplication of Mixed Numbers

 Skills:  Convert Mixed Numbers into Improper Fractions and Vice Versa Practice Adding Whole Numbers to Mixed Numbers (3 + 5 1/2 = 8 1/2)   Multiply Mixed Numbers by changing them to Improper Fractions Find Fractions of a number by Multiplying Study Link has students practicing Multiplying Fractions by finding Area of a rectangle, triangle, and parallelogram. Also by giving students a scale drawing.  Smaller shape has dimensions.  Students find larger shape's dimensions by multiplying by 2_1/2

8-9 Finding Percent of a Number

 Skills:  Find Percent of a Number with different approaches: Example:  40% of 480 = ? Unit-Percent Approach: 1% of 480 = 4.8  so  40% = 40 x 4.8 = 192 10% Approach: 10% of 480 = 48  so 40% = 4 x 48 = 192 Equivalent Fraction Approach: 40% = 2/5   so   2/5 x 480 = 192  (can use 40/100 as well) Equivalent Decimal Approach: 40% = .40  so .40 x 480 = 192 Use Percent of a Number to find Discount Prices Study Link: Students convert on a Table:  Fractions, Decimals, and Percents Students find Fraction of a Number to find Discounted Prices on a Table

8-10 Relating Fractional Units to the Whole

 Skills:  Given what a Fraction of Whole Equals, Students find what the Whole must Equal.  (Example:  1/8 equals 31 pages, so how many pages are in the whole book?  27 is 3/4 of what number?)

8-11 American Tour:  Rural and Urban

 Skills: Collect Class Data for:  number of people in the home, language spoken, left hand or right hand, years at current address Determine %s for each.  Determine Population Numbers given %s.    Solve for Per Capita Consumption Fraction Review Using a Calculator with Percents

8-12 Fraction Division

 Skills:  Discuss whole number by whole number division.  Then how many fractional parts are in a given whole number (how many 1/2 are in 6?) Use Common Denominators to Divide Fractions     (3 ÷ 3/4)        3 = 12/4 -----so-----   (12/4 ÷ 3/4) = 4 Mixed Number Review: Add Subtract and Multiply Fractions Use Common Denominators to Divide Fractions Explore the Meaning of Reciprocals

8-13 Progress Check 8

 Skills:  1-2) Write Fraction as decimal and percent (ex. 7/10 =.7 or 70% and 8/25 = 32/100 = .32 = 32% 3)  Common Denominator for 1/4 and 4/7 4)  How did you find Common Denominator for Question 3? 5)  13/25 greater or less than 1/2 6)  Explain how you solved Question 5. 7)  Draw line 2_1/4 inches.  Take away 3/4 inch.  8-14)  Add or subtract fractions/fractions and Mixed Numbers/Fraction and Mixed Numbers/Mixed Numbers 15-18)  Fill in Missing Number for Equivalent Mixed Number in Simplest Form and Not Simplest Form (Borrowed Form) 19)  Given 2 fractions pick the correct multiple choice answer that has the common denominator for the pair 20)  List eight fractions in order from least to greatest. Part B: 21)  Draw a line twice as long as 2_1/4 inches.  22)  Word Problem --growth of plant--how much had it grown.  Requires subtraction of Mixed Numbers with like denominators 23)  Explain how you got your answer for Question 16? 24)  Find 75% of 36 cupcakes in a word problem. 25)  Multiply Fraction/Fraction, Mixed Number/Mixed Number and simplify Open Response:  Writing Egyptian Fractions--write their fractions as the sum of unit fractions where no unit fraction is repeated.  9/10 = 1/2 + 2/5   or 9/10 = 1/2 + 4/10

For Open Response Question on Test about Egyptian Fractions:

Part 1:  Explain Egyptian Fractions (2:12)
Part 2:  How Egyptians Used their Fraction System

Unit 9:  Coordinates, Area, Volume, and Capacity

Unit 9 Study Links and Math Masters

Unit 9 Math Journal Pages

9-1 Hidden Treasure:  A Coordinate Game

 Skills:  Plot a Turtle on a Coordinate Grid (+/+) Hidden Treasure Game (+/+ Grid) Math Line Graphs to Number Stories Plot 3D shape on Coordinate Grid (+/+) Garden Map transposed onto Coordinate Grid (+/+) Students identify locations.  Traveling on a Grid --like cars on street

9-2 Coordinate Graphs:  Part 1

 Skills:  Plot Points on Coordinate Grid (+/+) to reveal outline of US.  Locate Coordinates of Cities.  Plot Points to reveal 4 Sailboats by doubling each coordinate pair, doubling just the first coordinate, doubling just the second coordinate.  Investigate Doubling Shapes on a Coordinate (+,+) Grid

9-3 Coordinate Graphs:  Part 2

 Rotating Sailboat Designs on a Coordinate Grid (4 quadrants).  Hidden Treasure Game:  Coordinate Grid (4 quadrants.) Reflect Points and Designs across x an y axes.

9-4 Area of Rectangles

 Skills:  Define Area Draw rectangular figures on a cm grid.  (Fractions of cm are used.) Find Area of regular and irregular rectangular figures on a cm grid.  Review Definitions for:  octagon, rhombus, right angle, acute angle, trapezoid, hexagon, square, equilateral triangle, perpendicular lines, parallel lines, pentagon, isosceles triangle, quadrilateral.  Compare Perimeter and Area when dimensions change.

Real Math:  Pet Fish  --in this video a child gets a fish as a pet.  The
video discusses area and volume of geometric shapes.  It can be
shown in this lesson or in following lessons.  (approx. 14 min long.)
FYI:  On the Chapter 11 Test there is a problem about a fish
tank.

9-5 The Rectangle Method for Finding Area--for Triangles

 Skills:  Students create Rectangles from given Triangle.  Find the area of the Rectangle and then divide in half to determine the area of the Triangle.

9-6 Formulas for the Area of Triangles and Parallelograms

 Skills:  Students create Rectangles from given Parallelograms to see that Parallelograms have the same Area as a Rectangle.   Practice Finding Area of Triangles.  Shapes are on cm grids.

9-7 Earth's Water Surface

 Skills:  Investigate % of Earth Covered by Water Represent Numbers 1-100 using only the number 4--four times  (Example:  64 = (4 x 4 x 4) x 40 ) Represent Numbers 1-25 using only the number 6 --six times. Review Area

Earth's Water Surface (1:56)  Good Introduction to Lesson--giving
visual to water on Earth

Water Changes The Earth (3:21)

9-8 Volume of Rectangular Prisms

 Skills:  Define Volume and Capacity Find Volume of Rectangular Prisms Develop the concept of Volume as Area of the Base times the Height. Find the Volume or Regular and Irregular Cube Structures Nets---or unfold Rectangular Prisms (like boxes undone)

Cube Nets:  A net is a two-dimensional figure that can be folded
into a three-dimensional object. Which of the nets below will form a
cube?

9-9 Volume of Right Prisms

 Skills:  Define the difference between Right Prisms and Slanted Prisms.  Develop the concept of Volume as Area of the Base times the Height.  Nets--unfolded Triangular Prisms

9-10 Capacity:  Liter, Milliliter, and Cubic Centimeter

 Skills:  Demonstrate 1 ml = 1 cubic centimeter  and so 1,000 of each equals 1 Liter Find metric volumes.  Relate these metric volumes to US customary Volumes.

9-11 Progress Check 9

 Skills:  1)  Plot points on a coordinate gird in Quadrant I.  Connect Points.  Describe that it is a parallelogram 2)  Reflect this image across the x axis into Quadrant IV. 3)  Record points in flipped figure.  4)  Describe rule for new points:  change the second number in each number pair to its opposite.  5)  Find the perimeter of a rectangle (length of one side and width of one side given.)  Determine how much more fencing is needed.  6-11)  Find the area of parallelograms and triangles on a cm grid. Label base and height on each shape.  Explain what the are of a figure means. 12)  Give the location of a point on a coordinate grid.  13)  Given a base line on a coordinate grid, plot the third point so that a triangle is formed that has a given area.  14-16)  Given a rectangular prism of cm cubes:  find the area of the base.  Find the height.  Find the volume.    17-18)  If you keep the rectangular prism's base the same, and increase the height so the volume tripled, what is the new height be and what would the new volume be? 19-20)  Find the Volume of a Rectangluar Prism and a Triangular Prism--lengths, widths, and heights are given.  Find the volume of a Trapezoidal Prism--area of the base is given.  21)  The volume of a Rectangular Prism is given and the area of it's base....what is the height? 22)  Explain that you can find the are of any prism by multiplying the area of the base times the height.  Open Ended: Decide if a given countertop is able to be titled with tiles of certain dimensions evenly without overlap or breaking any tiles.

Unit 10:  Using Data; Algebra Concepts and Skills

Unit 10 Study Links and Math Masters

Unit 10 Math Journal Pages

10-1 Pan Balance Problems

 Skills:  Introduce Pan Balance Illustrations to Solve Simple Equations

10-2 Pan-Balance Problems with Two Balances

 Skills:  Introduce Pan Balance Illustrations to Solve Simple Equations Review Line Graphs

10-3 Algebraic Expressions

 Skills:  Using Simple Algebraic Expressions to Illustrate Situations "What's My Rule?" Problems with Simple Algebraic Expressions Create an Algebraic Expression to Illustrate Word Problems.

10-4 Rules, Tables, and Graphs:  Part 1

 Skills:  Graph Time and Distance on a Line Graph Graph Time and Earnings on a Line Graph Graph Words Per Minute on a Line Graph ...represent rates on a Line Graph "What's My Rule?"

10-5 American Tour:  Old Faithfull's Next Eruptions

 Skills:  Use Formulas as a Prediction Tool Given the Formula:  waiting time = (10 x length of eruption) + 30 min.  Create a table and convert table into line graph.  More Pan Balance Problems  Solve Problems using the Formula for finding Temperature based on Crickets Chirping.  Solve "What's My Rule?" Tables and then Graph on Line Graphs

Crickets Chirping and Temperature Part II

10-6 Rules, Tables, and Graphs:  Part 2

 Skills:  Given a Rule, students create a Table and then Graph the Results on a Line Graph.  Lines can travel through Quadrants.  Students Interpret Line Graph Results to make Conclusions.  Given to Tables of Data, students decide that one table is best suited for a Circle Graph and the other a Line Graph.

 Skills:  Students are given a Line graph with different sloping lines.  They interpret the graph to determine that the steeper the slope the faster the person is walking.  Review writing Algebraic Expressions for written situations.  Students interpret line graphs by looking a slope and also if lines intersect or change in slope, direction, or become horizontal.  Students match graphs to situations. --Mystery Graphs.  Students draw a graph to match a story.  Student interpret a bar graph and a line plot graph to analyze errors in graphing.  Students make tables from graphs.

10-8 Circumference of a Circle

 Skills:  Analyze a National Assessment Question from 1975.  Students are given the % of kids who wrote various answers.  Must come up with reasons whey they think they got those answers.  Investigate the relationship between diameter and circumference.  Make a Stem-and-Leaf Plot.  Discuss Pi. Find Circumference given Formula.  Convert Celsius to Fahrenheit.

Defining Circumference, Radius and Diameter (04:19)  This video clip
goes exactly with lesson.  At the end there is a little cartoon as well.

10-9 Area of Circles

 Skills:  Estimate the Area of a Circle Placed on cm grid paper.  Students Trace Several Circles on grid paper to estimate area.  Formula for Area of a Circle is Introduced. Students use formula and relate it to the results of their estimations.  Students identify situations that require finding: circumference, area, perimeter.  Students find Circumference and Area when Radius and Diameter measurements are given.  Investigate/Model why π•r2 is true for finding circumference.

10-10 Progress Check 10

 Skills:  1-3)  Identify or write an simple algebraic equation to illustrate a situation.  4-6)  Pan Balance Questions 7)   Solve for a missing number in an algebraic equation 8)  Mystery Line Plots.  Identify which Line Plot goes with which description.  9-11)  Identify when it is appropriate to find perimeter, area, or circumference when given a situation.  Part B: 12-15)  Students measure a circle to find the diameter and radius.  Then they use given formulas to find the Circumference and Area of the Circle. 16)  Pan Balance Question  17-18)  Given a rate expressed as an equation, complete the table and graph the results.  (copies per minute)  Use the graph to estimate the amount of time it would take to make 150 copies.  Open Ended: Age Puzzle Find ages, explain how you did this, write an algebraic expression to represent ages.

Unit 11:  Volume

Unit 11 Study Links and Math Masters

Unit 11 Math Journal Pages

11-1 Review of Geometric Solids:  Part 1

 Skills:  Students create geometric solids using nets.  They examine the solids and answer various questions about their properties. prisms, pyramids, cylinders, cones, and spheres surfaces, edges, vertices.  Polyhedron:  Tetrahedral, Octahedral, Decahedral, Dodecahedral, Icosahedra.  Identify which Net would create a cube.  Explore:  Faces, Edges, and Vertices

Maths Mansion: 33 - A Very Fine Pet Is a Polyhedron (9:19)
A group of children are trapped in Math's Mansion. To get out, they
must take part in game shows to test their mathematics knowledge. In
this episode, the children learn the attributes of polyhedra.
The six videos in the module, Geometry Concepts for Primary
Grades, stress the development of geometric ideas through activities
that engage first and second grade students in doing, thinking, and
reflecting on geometric concepts. In this segment students examine
polyhedra for faces, edges, and vertices, and they sort the solids by
common attributes

11-2 Review of Geometric Solids:  Part 2

 Skills:  Create a Venn Diagram to Compare Prisms and Pyramids Use a chart to identify likenesses and differences as well.  3-D Shape Sort Property Cards Given a:  Cube, Triangular Pyramid, Cone, and Cylinder:  Students name them, identify the base, the vertexes, and edges if possible.  Explore Truncated Polyhedrons

Truncated Icosahedrons--print, cut, tape or glue together a truncated
polyhedron that creates a soccer ball.

11-3 Volume of Cylinders

 Skills:  Students investigate and solve for the volume of various cylinders review volume of rectangular prism and triangular prism.  Use Mental Calculation Strategy to Multiply

Volume (04:37) --introduces concept of Volume.

11-4 Volume of Pyramids and Cones

 Skills:  To find the area of a Pyramid or Cone students find the area of the base and multiply it by the height and then divide by 3.  Game:  Rugs and Fences:  An Area and Perimeter Game Compare volume of different geometric shapes to find which one is greater.  Find the Area of Concentric Circles.

11-5 Finding Volume by a Displacement Method

 Skills:  Use the Water Displacement Method to find Volume of Irregular Shapes.  Students solve problems using data from the American Tour section of the Student Reference Book. Complete a Displacement Experiment.  A Boat and a Stone Activity

11-6 Capacity and Weight

 Skills:  US unit for Capacity: pints, cups, quarts, gallons and Weight:  ounces, pounds, tons Solve problems that relate to Capacity and Weight.  Investigate the Capacity of the Annual Rice Consumption for a Thai Family of Four.  Game:  Name that Number Find Equivalent Measures for US Customary Units

The Importance of Rice (1:34)  View before solving problem 9 on
Math Journal Page 387.

11-7 Surface Area

 Skills:  Find the surface area of prisms, cylinders, and pyramids Relate area of a plane figure to surface area.  Find surface area and volume of various 3D shapes.  Investigation:  Given the volume of a rectangular prism, list possible dimensions and find the surface area.

Surface Area (6:51)  Explains Surface Area

Defining Properties of 3-D Figures (07:57)  The properties of three-
dimensional figures can be found in the formulae for their surface
area and volume. Talks about Surface Area as well.

11-8 Progress Check 11

 Skills:  1-4)  Match (pyramid, cone, rectangular prism, and cylinder) to it's proper description.  5)  Given 3 rectangular prisms with dimensions, determine which has the greatest volume and explain how you know.  6)  Given the area of the base of a rectangular prism and its volume, find its height.  7-9) Find the radius, diameter, and circumference of a circle 10-11) Find the area of the base of a cylinder then find the volume.  Height is given 12-16)  Illustration of a rectangular prisms made of cm cubes is given.  Find the area of the base, the height, the volume.  If you kept the area of the base and the volume tripled, what is the height? Write a number sentence to illustrate this.  Part B: 17)  Using the illustration in problems 12-16) What is the surface area of the figure.  Explain how you solved for this.  18)  Identify the information needed to know how much square inches of paint you need to paint a cylinder.  19)  If you have a cone that fits into the cylinder exactly (mentioned in 18) what formula would you use to find the volume and what would the volume be? 20)  Find the volume of a pyramid and show work.  21-22)  Word problem:  how much medicine should be added to a fish tank.  Amount is based on volume of water.  Explain.  (In lesson 9-4 above you will see a video about volume of a fish tank.) Open Response: Girl falls through trap door into rectangular room.  Room fills with water to 3 feet deep, then walls move in.  Draw original room and figure out how much time will pass before the water lifts City to the trapdoor in ceiling.

Unit 12:  Probability, Ratios and Rates

12-1 Factor Trees

 Skills:  Find the greatest common factor and the least common multiple of two numbers by creating factor trees.  Factor Captor Game Relate Factor Trees to Adding Fractions

12-2 Choices, Tree Diagrams, and Probability

 Skills:  Identify probability in fraction form of landing on various number spaces on a spinner.  Find the number of possible outcomes using the Multiplication Counting Principal Draw a Tree Diagram to Illustrate Possible Results Use Tree Diagrams to find Probability of various Results.  Rate Word Problems

Baseball Tree Diagrams  (2:30)

12-3 American Tour:  Ratio Exploration

 Skills:  Use Rates and Ratio Comparisons to Problem Solve--examine a trend.

12-4 Ratios of Parts to Wholes

 Skills:  Relate a Ratio of part to part to a ratio of part to whole.

12-5 Number Models for Ratio Number Stories

 Skills:  Use fraction number models (equivalent fractions) to illustrate ratios and solve for parts or wholes.  Review angle measurements:  acute, right, obtuse, straight, and reflex

 Skills:  Find your heart rate and practice calculating rates from data.  Spoon Scramble.  Use Rate Tables.

The Heart (00:53)

Variations in Heart Rate (1:19)

A Trip Through the Heart

How Big is Your Heart? --Activity

The article “The Beat Goes On” discusses medical science's use of
bionic hearts as an alternative to heart transplants. Have students read
the article on their own and then complete the Word Wise activity.

12-7 Collecting, Graphing, and Interpreting Data

 Skills:  Use heart beat and exercise to create a table.  Graph data on table.  Use slope of graph and data to answer questions.  Create Line Plot Graphs.  Pan Balance Problems Operations with Fractions

 Skills:  Review Ratios Calculate Cardiac Output--Compare Resting to Exercise Play Coordinate Search Complete Rate and Ratio Problems

12-9 Progress Check 12

 Skills:  1-4)  Create Factor Trees for 60 and 84.  Identify the prime factors they have in common.  What is the GCF?  Explain how you found it.  5)  What is the LCM for 60 and 84?  Explain how you found it.  6-8)  Given 2 fractions with unlike denominators, rewrite equivalent fractions for each so they both have common denominators.  Explain.  9)  Sven cuts pizza into slices so there are enough to share equally with either 2, 3, 4 or 6 people.  10)  20 students in a class.  2/3 ride on bus.  How many walk? 11)  Name that Number Game--60% of 5 cards were black...how many were black? 12) 3 out of 7 cars are red...if 28 in all...how many red? 13)  Determine ratio of red to total cars in all...explain. Part B: 14-15)  Create a Tree Diagram and answer questions about probability of events occurring.  16-20)  Write a number model for each rate/ratio problem and solve. Open Ended: Use statements to figure out how many trips the Rock Island Ferry made.

Unit 12 Study Links and Math Masters

Unit 12 Math Journal Pages