Grade 6 Mathematics

Math Games - Math Frog

Number Sense and Operations

Algebra

Geometry

Measurement

Data Analysis and Probaility

Self-Assessments - Try some quizzes by yourself and see how you do.

Unit 1: Number Patterns

Input/Output Machines, pp6-9

Function Machine - from the National Library of Virtual Manipulatives

Number Patterns, pp 10-12

Coloring Multiples in Pascal's Triangle - color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled

Interactive Pascal's Triangle - an interactive version of Pascal's Triangle that let's you specify the number of rows.

Pascal's Triangle - what it is, how to make it, and further links to learn about it

Patterns in Division, pp13-15

Divisibility Rules - from Math Forum, the rules as well as comprehensive explanations for whole numbers from 3 through 13

Divisibility Rules - from VectorKids

Exploring Integers, pp20-22

Builder Ted - activity that places integers in numerical order

Temperature Quiz - from the BBC

Unit 2: Whole Numbers
Exploring and Comparing Large Numbers, pp 32-42

One False Move (click on a random set of numbers in order: 2 levels of play and 3 levels of difficulty; note: harder levels involve decimal numbers)

Base 10 Blocks - number representation patterns with virtual base 10 blocks

Exploring Multiples, Primes, & Composites, pp 43-47

Grid Game - a "shockwave" game to practice factors, multiples, and primes.

The Product Game - a fun interactive game that exercises your skill with factors and multiples.

Order of Operations, pp 54-57 Order of Operations game - set the number of questions and your time limit, then drag pieces to make correct equations based on the order of operations
Unit 3: Geometry
Entire Unit

Angle Guesser - a Geometer's Sketchpad file activity

Drawing a 3D Snap-Cube Object - Step-by-step explicit directions for students to draw all views of a 3D figure constructed from "snap cubes"

Isometric dot paper - make your own isometric dot paper at this website: saves as a pdf file which you can then print as needed

Isometric dot paper - pre-made, ready to print for those in a hurry

Isometric Drawing Tool - Create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes, and then shift, rotate, color, decompose, or view them in 2D or 3D.

Measuring Angles - Directions sheet explaining how to measure angles using Geometer's Sketchpad

Polygons Sort - a Geometer's Sketchpad file activity

Solid Figures - matching solids and nets
Angle Games
Guess the Random Angle – Fixed Protractor

Angles Games
Measure the angle - Up to 180 in ones - Moving Protractor
Robot alien invasion
Sports
Ninja Fighting
Baseball Geometry

Unit 4: Decimals
Comparing and Ordering Decimals,
pp 121-124

Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks

Rounding Off -  a "shockwave" game to practice rounding

Operations with Decimals, pp 132-157

Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks

Fraction-decimal Conversions - 3 activities

Unit 5: Data Management
  Creating a Graph in Excel
Interpreting Data, pp 168-171 Interpreting Graphs - a pdf file from Oxford Press; a vocabulary-building exercise (teacher reference)
Finding the Median, pp 172-175

Train Race - a game in which mean, median, and range are compared

Constructing and Interpreting Graphs, pp 178-181

Collecting Data - tutorial and practice; emphasis on vocabulary of data collection

Create a Graph - use this on-line graph maker to produce a graph in a couple of minute; the resulting graph can be saved as an image to be put into a document or other project

Drawing and Interpreting Graphs - a nine-page tutorial for teachers and advanced students

Interpreting Graphs - a pdf file from Oxford Press; a vocabulary-building exercise.
Quattro Pro 10 Tutorials - a series of tutorials and help sheets

Reading and Interpreting Graphs - tutorial and practice

Tinkerplots - data and information about Tinkerplots

Graphing on a Coordinate Grid. pp 186-189

Basic Skills - setting up the grid, plotting and labelling points, drawing shapes - using The Geometer's Sketchpad

Catch The Fly -A "Flash" game to help learn the four quadrants of the Cartesian plane

Coordinate Graphing - directions for plotting in the first quadrant

Lulu - a game where "Lulu" is moved around on the coordinate grid (first quadrant only)ulu - a game where "Lulu" is moved around on the coordinate grid (first quadrant only)

Maze Game - investigate the Cartesian coordinate system by directing a robot through a mine field.
Coordinates Games
Billy Bug and his Quest for Grub
General Coordinates Game
Interpreting Data
Move a robot through a mine field to a target location

Unit 6: Measurement
Surface Area and Voluma of a Rectangular Prism, pp 220-227

Surface Area & Volume - Students manipulate dimensions of polyhedra, and watch how the surface area and volume change. Parameters: Type of polyhedron, length, width and height.

Unit 7: Transformational Geometry
Transformations, pages 248-251

Exploring Rotations - Activity from the GSP manual, "Geometry Activities for Middle School" - an excellent introduction to transformations.

Exploring Translations - Activity from the GSP manual, "Geometry Activities for Middle School" - an excellent introduction to transformations.

Glide Reflect Tiling - Observe and manipulate an example of a glide reflect tiling

Mirrors and Reflections - Activity from the GSP manual, "Geometry Activities for Middle School" - an excellent introduction to transformations.

Virtual Manipulatives - explore tessellations, rotations, reflections, and translations - scroll down to the bottom of the page when it opens

What is a tiling? Clear explanation with illustrated examples of various kinds of tilings.

Congruent Figures, pp 256-259

Congruence Quest - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks

Similar Figures, pp 260-266

Creating Tiling Patterns on a Computer - using Geometer's Sketchpad

Modeling a Pantograph - An advanced activity in which you make a simple model of a pantograph first, followed my more complex investigations and constructions.

Similarity and Congruency - A GSP tutorial about similarity and congruency, showing the tests for, and properties of, similar or congruent shapes

Rotational Symmetry, pp 270-273 Rotation Symmetry - A tutorial about rotation symmetry, in which students explore through directed examples
Tiling Patterns, pp 266-269

Creating Tiling Patterns on a Computer - using Geometer's Sketchpad

Floor Tiles - modify a quadrilateral to see if it tiles

Glide Reflect Tiling - Observe and manipulate an example of a glide reflect tiling

Tiling with Fireworks MX - Make tiling designs using a high-end graphics program instead of Appleworks

What is a tiling? Clear explanation with illustrated examples of various kinds of tilings.

Probably Polyhedra, pp 284-285

Paper Models of Polyhedra - more than eighty paper models available for free - select and download individual polyhedra.

The Platonic Solids (view virtual solids and manipulate them; including viewing as nets)

Solid Figures - matching solids and nets

Studying Polyhedra - Introduction of the concept, links, great applet illustrating the 5 regular polyhedra.

Unit 8: Fractions, Percents, Ratios, and Rates
Entire Chapter w

Equivalent Fractions - This tool allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions.

Figure and Ratio of Area - visualize ratios by changing the sizes and area of one shape and comparing it to another

Flowering Fractions - make a whole given fractional flowers

Fraction Bars - Explore equivalent fractions, ordering fractions, adding fractions, and more

Fraction Tutorials - seventeen (17) tutorials on all kinds of fraction topics

Gear Inch & Shifting Pattern Calculator - a real-life application of ratio, using cycling gear information

The Meaning of Ratio - interactive interpretations of 2-term ratios

Pattern Blocks - explore fractions using virtual pattern blocks

Percentages – Discover relationships between fractions, percents, and decimals

Shade In - Learn about fractions of a whole, and equivalent fractions, by shading in the diagram and checking your work on line.

Unit 9: Perimeter, Area, and Volume
Perimeter, pp 342-349

Perimeter Explorer - Java applet designed to explore perimeter using a grid

Shape Explorer - Java applet designed to explore both perimeter and area using a grid

Area of a Parallelogram, pp 352-354

Area of a Parallelogram -A gsp file to help you visualize how the area of a parallelogram can be calculated without learning a new formula.

Areas of Parallelograms and Triangles -This gsp file shows the relationships between the areas of parallelograms and triangles, with rectangles, and leads students to understanding the formulae.

Area of a Triangle, pages 355-361

Area of a Triangle - describe patterns and generalize relationships by determining the areas and perimeters of triangles.

Areas of Parallelograms and Triangles -This gsp file shows the relationships between the areas of parallelograms and triangles, with rectangles, and leads students to understanding the formulae.

Constructing a Triangle Given the Area - Use Geometer's Sketchpad to discover you can easily construct a triangle with a given area, then investigate whether non-congruent triangles can have equal areas.

Unit 10: Patterns in Number and Geometry
Whole Chapter

Function Machine - To solve this problem, you must work out how to continue the sequence of numbers - drag the operators into the boxes on the function machine to help. Also available as 2 step and 1 step puzzles, for those of you who prefer to solve simpler math problems.

Simple Plot - plot ordered pairs of numbers, either as a scatter plot or with the dots connected.

Ordered Simple Plot - another version of "Simple Plot" which allows the user to plot and connect ordered pairs in the order that they are input: this enables pictures to be drawn by connecting pairs rather than having the computer connect them from left to right.

Unit 11:Probability
Whole Chapter

Adjustable Spinners - This tool allows students to create their own spinners and examine the outcomes given a specified number of spins.

Coin Toss - Explore probability concepts by simulating repeated coin tosses

Let's Make a Deal - a java applet based on the TV show: use the applet to see if the odds of winning increase by switching the door

Marbles - simulates an experiment where you remove red, green and blue marbles with or without replacement

Racing Game - One Die - Work in pairs to experiment with the applet's parameters to "see" the effects of each variable on race results.

Racing Game - Two Dice - Similar to the "one die" race; fairly complex

Spinner - A java applet with a spinner shose sector sizes and colors can be adjusted.

Stick or Switch – Investigate probabilities of sticking with a decision, or switching.

Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.

Probability Bag
Probability Fair
Probability Game


UnitLessonTopicVideosResources
1
Patterns & Equations


1Input / Output TablesInput/Output Machines

2Patterns from TablesInput Table Patterns & Determining Missing Numbers & Operations

4Using Variables to Describe PatternsWhat is an “expression”?

Using a variable to describe an input/output table

5Plotting Points on a Coordinate Grid (Graphing)YouTube video of plotting points on a grid

6Drawing the Graph of a PatternYouTube video of plotting points on a grid

7Understanding EqualityUnderstanding Equality

8Keeping Equations BalancedKeeping Equations Balanced
2
Understanding Number


1Exploring Large Numbers (Place Value)Place Value up to 100 million

Place Value music video

Place Value Houses

2Numbers All Around UsBasic Multiplication

Multiplication (2 digits X 2 digits)

Division - basics

Long Division

Common divisibility rules

3Exploring MultiplesExploring Multiples

4Prime & Composite NumbersPrime Numbers - definition

Prime & Composite Numbers


5Investigating FactorsFinding Factors

7Order of OperationsOrder of Operations

More complex Order of Operations

8What is an Integer?Introduction to Integers

9Comparing and Ordering IntegersComparing Integers
3
Decimals


1Numbers to ThousandthsPlace Value in Decimals

Writing numbers in words

2Estimating Products & QuotientsEstimating Products & Quotients

3Multiplying Decimals by a Whole NumberMultiplying with Decimals

4Multiplying a Decimal Less than 1 by a Whole NumberMultiplying with Decimals

5Dividing Decimals by a Whole NumberDividing a whole number by a decimal

6Dividing DecimalsDividing Decimals by Whole Numbers

Dividing Decimals

7Dividing a Decimal Less than 1 by a Whole NumberDividing decimals
4
Angles & Polygons


1Naming Angles: Acute, Obtuse & ReflexNaming Angles


2Exploring AnglesExploring angles

3Measuring AnglesMeasuring Angles (using a Protractor)

4Drawing AnglesDrawing angles (using a Protractor)

6Investigating Angles in a TriangleInvestigating Triangles

7Investigating Angles in a QuadrilateralInvestigating Quadrilaterals
5
Fractions, Ratios & Percents


1Mixed NumbersMixed numbers & Improper Fractions - definition and conversion

2Converting between Mixed Numbers & Improper FractionsMixed numbers & Improper Fractions - definition and conversion

3Comparing Mixed Numbers & Improper FractionsComparing Mixed Numbers & Improper Fractions

4Exploring RatiosRatios

5Equivalent RatiosUnderstanding Proportions

Equivalent Ratios

7Exploring PercentsPercent - Definition 01

Percent - Definition 02 (advanced)

8Relating Fractions, Decimals & PercentsDecimals, Percents & Fractions
6
Geometry & Measurement


1Exploring TrianglesClassifying Triangles

Names of Triangles & Symmetry

Symmetry

More on Symmetry

2Naming & Sorting Triangles by AnglesClassifying Triangles

Names of Triangles & Symmetry

3Drawing TrianglesDrawing a Triangle using a Protractor

4Investigating PolygonsPolygons - Introduction

Quadrilaterals - Introduction

5Congruence in Regular PolygonsCongruent Polygons

7Perimeters of PolygonsPerimeter & Area Basics

Perimeter - Intro & definition

Perimeter of a parallelogram

8Area of a RectangleArea of Rectangles & Triangles & Perimeter of Rectangles

9Volume of a Rectangular PrismVolume of Triangular Prisms & Cubes

Volume of Rectangular Prisms
7
Data Analysis & Probability


1Using a Questionnaire to Gather DataCreating Survey Questions

2Conducting Experiments to Gather DataSmart Survey Design

3Interpreting GraphsInterpreting Graphs

Different types of graphs & how to interpret them


4Drawing GraphsIntro to Drawing Line Graphs

Drawing Graphs

5Choosing an Appropriate GraphChoose an appropriate graph

6Theoretical ProbabilityIntro to Probability

Theoretical & Experimental Probability

7Experimental ProbabilityTheoretical & Experimental Probability
8
Transformations


1Drawing Shapes on a Coordinate GridUsing a Coordinate Grid

2Transformations on a Coordinate GridConcepts of Transformations

Transformations

3Successive TransformationsCombined Transformations

4Combining TransformationsCombined Transformations

5Creating DesignsCreating tessellation designs in Windows Paint