## Math - Topic resources

On this page, you will find resources and vocabulary words for each topic we have learned about in math class as well as a collection of virtual math manipulatives. The words are organized by topic and are in alphabetical order.

## Virtual Math Tools and MAnipulatives

The theory of experiential education revolves around the idea that learning is enhanced when students acquire knowledge through active processes that engage them (Hartshorn and Boren, 1990). Manipulatives can be key in providing effective, active, engaging lessons in the teaching of mathematics. Manipulatives help students learn by allowing them to move from concrete experiences to abstract reasoning (Heddens, 1986; Reisman, 1982; Ross and Kurtz, 1993).

Throughout history, people have used physical objects and tools to make sense of mathematics and solve problems - think abacus and other counting devices. Today, we still use tools to help make sense of numbers and solve problems. We use these types of learning tools all the time in the classroom from pattern blocks to base-ten cubes to geoboards. Contained in this section, is a general collection of virtual math tools and/or manipulatives that you can use at home at anytime.

Throughout history, people have used physical objects and tools to make sense of mathematics and solve problems - think abacus and other counting devices. Today, we still use tools to help make sense of numbers and solve problems. We use these types of learning tools all the time in the classroom from pattern blocks to base-ten cubes to geoboards. Contained in this section, is a general collection of virtual math tools and/or manipulatives that you can use at home at anytime.

- Geoboard
- Number Rack
- Glencoe Virtual Manipulatives and Math Board
- National Library of Virtual Math Manipulatives
- Annenberg Learner Interactives: Mathematics
- NCTM - Illuminations Interactives
- Math Playground

- Hartshorn, R. & Boren, S. (1990). Experiential learning of mathematics: Using manipulatives. ERIC Clearinghouse on Rural Education and Small Schools.
- Heddens, J. W. (1986). Bridging the gap between the concrete and the abstract. The Arithmetic Teacher, 33: 14–17
- Reisman, F. K. (1982). A guide to the diagnostic teaching of arithmetic (3rd ed.). Columbus, OH: Merrill
- Ross, R. & Kurtz, R. (1993). Making manipulatives work: A strategy for success. The Arithmetic Teacher (January 1993). 40: 254–258.

## Topic 1 - Mathematics in our world

In this topic, we will focus on how math is used in our daily lives. We will explore patterns, data, and other ways that numbers appear in our daily lives. Check out the key vocabulary that your child will be using:

- Addition
- Subtraction
- Division
- Multiplication
- Billions
- Digit

**Investigation 1.1 - Writing Numbers Sequences**- Number Patterns - Drill the recognition of number patterns and number sequences.
- Patterns - Learn about how patterns of numbers can be useful in making good decisions with this short video from Math Live. (Corresponding activity sheet for download below)
- Sieve of Eratosthenes - This manipulative is intended to help students explore ideas related to multiples of numbers, patterns of multiples, and common multiples. It also lends itself well to the exploration of the distribution of primes and related questions about prime numbers.
- Hundreds Chart - The Hundreds Chart (really just a Counting Chart) can be used in different modes, but the basic idea is always the same: to recognize the structure of our counting numbers.

**Investigation 1.2 - Writing Numbers in Words & Comparing Populations**- Saying Big Numbers - Check the spelling and grammar of really big numbers
- The MegaPenny Project - A neat way to gain a visual perspective of huge numbers using pennies.
- 7 Billion and Counting - a video that illustrates the growth of our world's population in two and a half minutes - a neat discussion starter!

**Investigation 1.3 - Exploring Graphs, Charts, and Statistics**- Create a Graph - Practice making your own visual displays of data
- Hans Rosling: 200 Countries, 200 Years - Some of the coolest data visualization ever!
- Bar Graph Sorter - Interactive bar graph simulator
- Bar Graph - Sorting survey data
- Let's Graph - Graphs and tallies
- Making Bar Graphs - Guided practice
- Theme Park Favorites - Practice reading and analyzing graphs.

**Investigation 1.4 - Converting Times**- Convert Units of Time - Practice converting units of time: seconds, minutes, hours, days.
- Addition of Minutes and Seconds - Drilled practice

**Investigation 1.5 - Making Choices with Numbers/Problem Solving**- Maths Problem Solving Strategies - Guidance for using several strategies to solve challenging math problems.
- Word Problem Strategies - Another collection of guidance for story problem solving.

Patterns Activity Sheet (Investigation 1.1) | |

File Size: | 62 kb |

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## Topic 2 - Properties of polygons & circles

In this topic, we will explore shapes and angles. We will compare polygons and circles and examine how two-dimensional shapes can combine to make the planes or faces of three-dimensional shapes. Check out the key vocabulary we will be using in class:

- Faces
- Vertices
- Angle
- Circumference
- Three-dimensional
- Regular Polygon

**Investigation 2.1 - Describing 3-D Shapes/Exploring faces, Edges, and Vertices**- Platonic Solids - Explore faces, edges, and vertices of various 3D shapes.
- Geometric Solids - Explore faces, edges, and vertices of various 3D shapes. (From Illiuminations, does not require Java)
- 3D Tin - Explore 3D shapes in space.
- 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?
- Geoboard App - interactive geoboard app by The Math Learning Center

**Investigation 2.3 through 2.5 - Investigating Angles, Exploring Triangles, & Congruence**- Measuring Angles - Practice measuring angles with a virtual protractor
- Measuring Angles - A virtual mini-course on measuring distances and angles.
- Alien Angles - A game to practice measuring angles with a virtual protractor
- Classify Triangles - A short lesson on different types of triangles
- Types of Triangles - Information on the types of triangles - isosceles, scalene, equilateral, etc. Contains some guided and interactive practice.
- Congruence - A walk through lesson with interactive components
- Congruent Triangles - Explore congruence of triangles with this virtual manipulative
- Similar - A walk through lesson with interactive components
- Are These Shapes Congruent? - From PBS Learning Media, explore congruence, reflection, and rotation

## Topic 3 - Using division

In this topic, we will review division. We will use basic division concepts to solve real life problems and reinforce our division skills so that we are prepared for dividing by 2-digit numbers in the future. Check out some of the vocabulary and some resources to help master division skills.

- Dividend
- Divisor
- Quotient
- Mean
- Median
- Average
- Divisible
- Factor and Greatest common factor

**Investigation 3.1 - Finding Factors & the Greatest Common Factor (GCF)**- Factors Millionaire Game - This game is taken after the popular "Who Wants to be a Millionaire?" TV game show. It is a fun way to review factors and divisibility.
- Greatest Common Factors - Self-guided tutorial and exercises
- Study Jams: Greatest Common Factor - Interactive lesson with quiz

**Investigation 3.2 - Reviewing Division & Divisibility Rules**- Division of Whole Numbers - Review division with this short animated video and activity. (Activity Sheet for download below)
- Study Jams: Single-digit Division - Interactive lesson on long division with 3-digit dividends divided by single-digit divisors.
- Rules of Divisibility - A nice chart to review the rules of divisibility

**Investigation 3.3 - Reviewing the Division Algorithm & Calculating the Mean**- Division by Repeated Subtraction - Drilled practice
- Divivion: 2-digit by 1-digit - Drilled practice
- Division: 3-digit by 1-digit: Drilled practice
- Long Division - Drilled practice of the long division algorithm
- Statistical Mean - Drilled practice finding the mean of a number set
- Division Sentence I - Drilled practice, complete the equations

**Investigation 3.4 - Dividing by Multiples of 10**- Dividing by Tens - Drilled practice
- Ghost Blasters - Practice multiples of 10

**Investigation 3.5 - Dividing by 2-Digit Numbers**- Cool Math: Long Division - Long division with self-guided quiz
- Long Division Practice -Drilled practice, 4-digit by 2-digit division

**Division Review** Division of Whole Numbers | |

File Size: | 26 kb |

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## Topic 4 - Investigating length & perimeter

In this topic, we will explore length and perimeter to learn measuring skills. We will convert between units of measurement within standardized system; first customary units, then metric units. We will use many tools to measure length including rulers, meter and yard sticks, compasses, tape measures, and pedometers. This will be a very hands on unit of study that will build a very important skill!

Here is some vocabulary that you will need to know:

Here is some vocabulary that you will need to know:

- Approximate
- Average
- Centimeter
- Equivalence
- Feet
- Formula
- Inch
- Kilometer
- Millimeter
- Yard
- Radius

**Investigation 4.1 - Working with Customary Measures**- Study Jam: Customary Units of Length - Mini-unit with tutorial, activity, and quiz
- Finding Lengths with a Ruler - Virtual ruler, customary and metric
- Addition of Feet & Inches - Drilled practice

**Investigation 4.2 - Working with Metric Units**- FunBrain: Measure It! - Practice measuring objects using the metric system
- Measure Yourself - Find out you compare to different animals
- Converting Metric Units - Drilled practice, metric length

**Investigation 4.5 - Solving Perimeter Problems**- Finding Perimeter and Area - Self -guided lesson with interactivity (choose perimeter in menu)
- Perimeter of Rectangles - Drilled practice, no visuals - must use formula

## Topic 5 - Adding & subtracting common fractions

In this unit, students will build upon the knowledge they have gained about fractions from third and fourth grade. In grade 5, the investigations present more real world contexts for fractions, such as purchasing building supplies, comparing packages with different numbers of items, and adjusting amounts of ingredients in recipes. Students will use manipulatives and diagrams to help them develop mental pictures of operations with fractions as they build new skills.

Here are some vocabulary words we will be using in math class:

Here are some vocabulary words we will be using in math class:

**common denominator, equivalent, improper fraction, mixed number, and simplest form.**Below are some tools to help you learn.**Investigation 5.1 - Reviewing Common Fractions**- Equivalent Fractions - virtual fraction simulator to help visualize equivalent fractions
- Live Math - A mini-lesson on equivalent fractions. Be sure to select equivalent fractions in the menu! You can download the accompanying activity sheet below for extra practice.
- Fractions: Adding - Visual tool to help add fractions
- Least Common Multiple - Mini course about Least Common Multiples
- Study Jams: Fractions - Basic review of fractions, self-guided lesson with tutorial, activity, and quiz
- Fractone - Match the fractions that make 1 whole
- Fraction Splat! - Splat the mixed numbers and race the clock
- Fraction Tiles - Use these tiles to review and explore fractional parts of a whole
- Equivalent Fractions Bingo - Match equivalent fractions until you get bingo

**Investigation 5.2 - Adding & Subtracting with Unlike Denominator & Simplifying Fractions**- Fractions: Adding - Visual tool to help add fractions
- Subtracting Fractions - Quiz yourself on subtracting fractions
- Rename to Lowest Terms - Visual aid for simplifying fractions
- Study Jams: Adding & Subtracting Fractions with Unlike Denominators - Self-guided lesson with quiz

**Investigation 5.3 - Comparing Fractions of Sets**- Study Jams: Finding a Fraction of a Set - Self-guided lesson with tutorial, activity, and quiz
- Forty Frogs - Learn how to find a fraction of a set
- Fractions as Part of a Set - In this game, you match the correct fraction to the picture. There are two modes "Relaxed Mode" and "Timed Mode". Each time you complete a level, you step up in difficulty.

**Investigation 5.4 - Solving Fraction Problems** Math Live: Equivalent Fractions Sheet | |

File Size: | 1444 kb |

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## Topic 6 - analyzing everyday data

The ability to describe, compare, and analyze data is important in today's information-rich world. In topic 6, we explore data in graphs, charts, and tables. We will use real world examples and even collect and analyze our own data through a survey. Finding the central tendencies of data sets is important for analyzing our numbers. We will continue to develop our skills finding the mean, median, and mode of data sets. Here are some vocabulary words that we will be using throughout topic 6:

Here are some resources for Topic 6 that you can use to practice at home:

- Mean
- Median
- Mode
- Average
- Data
- Range
- Bar Graph
- Picture Graph
- Line Graph
- Pie Graph

Here are some resources for Topic 6 that you can use to practice at home:

**Investigation 6.1 - Reviewing Graphs**- Bar Graph Maker - Input data to make your own bar graph
- Pie Graph Maker - display your data as a fraction of a whole or percent as a pie graph
- Furbles - Review data and graphs with this fun interactive

**Investigation 6.2 - Introducing the Median (and Mode)**- Statistical Median: 1 digit numbers - From AAAMAth, drilled practice
- Statistical Median: 2 digit numbers - From AAAMAth, drilled practice
- Statistical Median: 3 digit numbers - From AAAMAth, drilled practice
- Statistical Mode - From AAAMath, drilled practice

**Investigation 6.3 - Working with the Mean**- Put on Your Thinking Cap - A self-contained mini-lesson about finding the average from eLearning for Kids
- Statistical Mean or Average: 1 digit numbers - AAAMAth, Drilled practice
- Statistical Mean or Average: 2 digit numbers - AAAMAth, Drilled practice
- Statistical Mean or Average: 3 digit numbers - AAAMAth, Drilled practice

**Investigation 6.5 - Displaying Data**- Create-a-Graph - Create and save your own graphs
- Data Analysis Project Guidelines - Directions and rubric for classroom data analysis project
- Displaying Data - This is a self-contained mini-lesson with an accompanying activity sheet that you can download below. (From Learn Alberta, choose "Displaying Data" in the lessons menu)

m5_displayingdata_actsheet.pdf | |

File Size: | 42 kb |

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## Topic 7 - Working with large numbers

Throughout our lives, we use large numbers - numbers over 1,000. In this topic, we will gain more familiarity with really big numbers - numbers in the millions and the billions. To understand big numbers, we must be able to understand how the place value structure of the base-ten system works. We will begin our learning by adding and subtracting multiples of 10 from given 5 and 6 digit numbers. We will explore how large numbers are used in data. We will then learn to express numbers as fractions of 1,000,000 (for example, 250,000 is 1/4 of 1,000,000). This is a convenient way to think about large numbers and an important way to represent numbers in different ways depending on the situation at hand.

Here are some vocabulary words you should know and be able to use by the end of this unit:

Check out these tools online to practice at home:

Here are some vocabulary words you should know and be able to use by the end of this unit:

**billion, difference, digit, estimate, fraction, hundreds, million, ones,**and**place value.**Check out these tools online to practice at home:

**Investigation 7.1 - Reviewing Numbers to 1,000,000**- Place Values of 6-Digit Numbers - AAAMath, drilled practice
- Specific Place Value - AAAMath, drilled practice
- Place Values: Expanded Form - AAAMath, drilled practice
- Identifying Place Values - AAAMath, drilled practice

**Investigation 7.2 - Working with Millions**

**Investigation 7.3 - Exploring Population Predictions**

**Investigation 7.4 - Exploring Fractions of Millions**

## Topic 8 - using multiplication

## Topic 9 - thinking visually

In this unit, we will investigate 2D and 3D shapes. We will explore how the faces of 3D shapes are arranged to form each shape. We will also learn about lines of symmetry, flips, turns, and slides. Here are some vocabulary words you will need to know for Topic 9:

1. Face

2. Flip

3. Horizontal

4. Slide

5. Symmetry

Check out these online tools and games to help your learning at home:

1. Face

2. Flip

3. Horizontal

4. Slide

5. Symmetry

Check out these online tools and games to help your learning at home:

**Overview of Shapes:**- Isometric Drawing Tool - a tool to explore 3D shapes in space
- Crickweb: Shapes & Weights - a suite of interactive teaching and learning interactives for shapes and weights
- NLVM: Geometry Interactives - a suite of geometry learning tools
- Math Interactives: Shapes - a collection of shapes games and tools

**Investigation 9.1 - Viewing 3-dimensional Objects**- Geometric Solids - a 3D shape simulator that allows you to also explore nets
- Buried 3D Shapes - find shapes based on their attributes
- What are 2D & 3D Shapes - a review visual of 2D and 3D shapes
- Attribute Blocks - sort and categorize shapes based on attributes of color, size, or shape

**Investigation 9.2 - Reviewing Transformations and Symmetry**- Shape Lab - help the professor build by getting him the appropriate shapes (basic: choose the "Really Hard" level)
- Symmetry Game - a symmetry quiz game
- Reflective Symmetry - practice making patterns and reflecting them over a line of symmetry
- Quilts - create your own symmetrical quilt designs in this interactive lesson on symmetry; advanced
- Math Live: Flips, Turns, & Slides - a self-contained mini-lesson. Be sure to choose the lesson in the menu. *Activity sheet available below.
- Icy Slides, Flips, & Turns - mini-lesson & self-guided quiz
- Symmetry (and Transformations) - self-guided, interactive lesson; advanced
- NLVM Translation
- NLVM Reflection
- NLVM Rotation

**Investigation 9.3 - Rotational Symmetry**- Math is Fun: Rotational Symmetry
- Symmetry Artist - Create your own symmetrical designs, both reflective and rotational up to the 9th order
- Rotation Symmetry -lesson, practice questions, and interactive simulator; slightly more advanced

**Investigation 9.5 - Exploring Networks**- Network Graphs - This site looks a bit boring at first, but once you understand how to find traversable networks, you'll get hooked trying to identify which puzzles are traversable. Good luck! (Some parts are very advanced.)
- Odd Vertex - a visual explanation of odd and even vertices
- Even & Odd Vertices - visual tutorial

*Transformations Activity Sheet | |

File Size: | 48 kb |

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## Topic 10 - working with time

Topic 10 is a cross-curricular exploration of the concept of time. Students will use time lines to discuss and learn about units of calendar time, such as decades and centuries. We will investigate time zones of the mainland United States and make models that demonstrate time across the four zones connecting mathematics with science and social studies. Finally, we will use timetables such as flight schedules to calculate elapsed time.

**Time Review**- Study Jams! Tell Time - interactive tutorial
- On Time! - set the clock hands to the correct time
- ABCya! Learn to Tell Time - practice setting the clock hands

**Investigation 10.1 - Introducing Mayan Claendars**- Study Jams! Using a Calendar - interactive tutorial

**Investigation 10.4 - Comparing Times in Different Zones**- Time Zone Map - interactive; type in a city and find its time zone
- Time Zone Converter - enter a time in one zone and find the time in another
- Math is Fun: World Time Zones - lesson with interactive map and self-quiz

**Investigation 10.5 - Solving Time Problems**- RoboClock 3: ELapsed Time - choose between 4 different levels to practice elapsed time calculations
- Mathman: Elapsed Time - like Pac-Man only you have to calculate elapsed time and then eat the answer ghost
- Study Jams! Elapsed Time - interactive tutorial
- Study Jams! Convert Units of Time - interactive tutorial
- AAAMath: Addition of Time - adding hours, minutes, and seconds and converting between units; drilled practice
- AAAMath: Difference in Time - subtracting hours, minutes, and seconds and converting between units; drilled practice

## Topic 11 - adding & subtracting decimal fractions

**Investigation 11.1 - Relating Decimals to Common Fractions**

- Study Jams: Decimal & Fraction Equivalents - online lesson and self-guided quiz.
- Study Jams: Decimal, Fraction, and Percent Equivalents - online lesson and self-guided quiz
- Fraction Models - interactive fraction, decimal, and percent simulator and visual aid.
- Placing Decimals on a Number Line - interactive number line with decimal fractions
- Decimal Tiles - Decimal tiles are a good way for students to explore and understand how parts make up a whole.
- Puppy Chase - Converting fractions to decimals
- AAAMath: Fractions to Decimals - drilled practice

**Investigation 11.2 - 11.4 - Exploring Addition & Subtraction of Decimal Fractions**

- Math Live: Addition & Subtraction of Decimals - A self-guided lesson with animation, interactivity, ad challenges. Download the accompanying activity sheet below. Be sure to choose "Addition & Subtraction of Decimals" in the menu.
- Houghton-Mifflin: Add & Subtract Decimals - Self-guided lesson with independent practice and quiz
- AAAMath: Adding Decimals - drilled practice
- AAAMath: Subtracting Decimals - drilled practice
- Soccer Math: Adding Decimals
- Soccer Math: Subtracting Decimals
- Hungry Puppies - Adding decimals
- Study Jams: Addition & Subtraction of Decimals - Work through real-world examples of calculating with fractions. Step-by-step guidance, independent practice, and scored quiz
- Study Jams: Making Change - Self-guided tutorial with independent practice and scored quiz; uses money to connect with subtracting decimal fractions

**Investigation 11.5 - Decimal Place-value, Rounding Decimals, & Comparing/Ordering Decimals**

- Study Jams: Placing Decimals on a Number Line - Self-guided lesson with interactivity and a quiz to check for understanding.
- Study Jams: Place Value of Decimals - Self-guided lesson with interactivity and a quiz to check for understanding.
- Houghton-Mifflin: Compare and Order Decimals - Self-guided lesson with interactivity
- Houghton-Mifflin: Place-Value of Decimals - Self-guided lesson with interactivity
- Houghton-Mifflin: Round Decimals - Self-guided lesson with interactivity
- AAAMath: Ordering Decimal Numbers - drilled practice
- Study Jams: Rounding Decimals - Self-guided tutorial with independent practice and scored quiz
- Study Jams: Compare Money Amounts - Self-guided tutorial with independent practice and scored quiz; uses money to connect with decimal fractions

Math Live: Addition & Subtraction of Decimals | |

File Size: | 551 kb |

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## Topic 12 - Relating volume, capacity, & weight

## Topic 13 - exploring multiplication of fractions

## Topic 14 - using division to find rates

Rate and ratio are two important concepts that have real-world applications. In this topic students use and extend their knowledge of division to solve problems involving rate and ratio. First students use fact families and estimation strategies to determine quotients and the reasonableness of their solutions. We explore multiples of the divisor that bring us close to the dividend to make smart estimations. This strategy reinforces the relationship between multiplication and division.

Rates are introduced to students through unit price. Unit price is a perfect real-world example of a rate as it requires the division of two quantities - cost and number of items. We then pursue other examples of rates such as miles per hour, averages, etc.. The final investigation in this unit formally introduces the term ratio to describe a comparison that involves division. Students conduct surveys and use ratios to describe their data. These and other activities throughout the topic show students how rate, ratio, mean, and other concepts involving division are useful to describe important aspects of data in real-world situations and their relationship with division.

Rates are introduced to students through unit price. Unit price is a perfect real-world example of a rate as it requires the division of two quantities - cost and number of items. We then pursue other examples of rates such as miles per hour, averages, etc.. The final investigation in this unit formally introduces the term ratio to describe a comparison that involves division. Students conduct surveys and use ratios to describe their data. These and other activities throughout the topic show students how rate, ratio, mean, and other concepts involving division are useful to describe important aspects of data in real-world situations and their relationship with division.

**Investigation 14. 1 - Exploring Division Estimation Strategies**- Study Jams: Relate Multiplication and Division - self-guided interactive tutorial with quiz
- Study Jams: Single Digit Division - self-guided, interactive tutorial with quiz
- Study Jams: Double Digit Division - self-guided, interactive tutorial with quiz
- Study Jams: Multiples - self-guided, interactive tutorial with quiz

**Investigation 14.2 - Dividing to Find the Unit Price****Investigation 14.3 - Dividing by Multiples of 10****Investigation 14.4 - Finding Averages and Rates**- Study Jams: Rate - self-guided, interactive tutorial with quiz
- Study Jams: Mean/Average - self-guided, interactive tutorial with quiz

**Investigation 14.5 - Introducing Ratios**- Study Jams: Ratio - self-guided, interactive tutorial with quiz
- Study Jams: Proportions - self-guided, interactive tutorial with quiz

## topic 16 - working with fractions & decimals

## topic 17 - working with area

In this unit, students explore the concept that shapes can be subdivided, dismantled, and/or rearranged to form different shapes with the same area. In grade 4, students began to use formulas to find the areas of rectangles and triangles. This topic continues and extends the use of area formulas including rectangles, irregular shapes, parallelograms, and triangles. The area of a circle is also introduced in this unit as students develop strategies to estimate their area by enclosing them in a square or subdividing them and rearranging as a parallelogram.

**Investigation 17.1 & 17.2 - Area and Perimeter of Rectangles and Irregular Shapes**- Study Jams: Perimeter - self-guided tutorial with interactive portions and quiz

- Study Jams: Area of Irregular Figures - self-guided tutorial with interactive portions and quiz

**Investigation 17.3 - Finding the Area of a Parallelogram**- Study Jams: Area of a Parallelogram - self-guided tutorial with interactive portions and quiz

**Investigation 17.4 - Finding the Area of a Triangle**- Triangle Explorer - investigate various triangles and their area

**Investigation 17.5 - Estimating the Area of a Circle**## topic 18 - probability & statistics

Many students have had informal experiences with probability through games that use spinners or dice. Throughout their lives, students encounter statistics, graphs, and probability estimates in a variety of contexts. In this topic, students build a solid foundation of theoretical probability through experiments and games. Students use probability vocabulary to describe an events likelihood using terms such as

*most likely, least likely, certain, impossible, possible,*and so on. Students collect data, make predictions, and examine outcomes in this hands-on unit utilizing spinners, card games, and dice.**Investigation 18.1 - Reading & Interpreting Graphs****Investigation 18.3 - Predicting Outcomes of Probability Experiments**- NLVM: Virtual Spinner
- Math Playground: Virtual Spinner
- Interactivate: Virtual Spinner
- NCTM Illuminations: Virtual Spinner
- MathLive: Probabilty: A self-guided virtual lesson with activity practice sheet.* Be sure to choose "Probability" in the menu.

**Investigation 18. 4 - Investigating Outcomes of Games****Investigation 18.5 - Using a Graph to Make Prdictions** Probability Activity Sheet | |

File Size: | 29 kb |

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## topic 19 - algebraic thinking

**Investigation 19.1 - Working with Coordinates**

- Hit the Coordinate Game - hit the target using given coordinates; many levels from beginner to advanced.