Grade 7 Mathematics

Math Homework Help

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: Patterns in Whole Numbers

Rounding, pp 6-7

Rounding Off -  a "shockwave" game to practice rounding

Divisibility Rules, p 9 Divisibility Rules - from Math Forum, the rules as well as comprehensive explanations for whole numbers from 3 through 13
Factors and Multiples, pp 14-18
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
Factorize and Factorize 2 - two activities to learn about factors through building rectangular arrays on a grid.
Factors & Prime Numbers - Teaches the definitions of product, factor, prime number, composite number, prime factorization and how to do prime factorization using a factor tree.
Factors of Whole Numbers - a game to practice greatest common factors
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.
Tic Tac Toe Squares - practice square roots on sight
Squares and Square Roots, pages 19-21

Square Root Gizmo - visualize square roots with this handy "gizmo"

Square Root Practice - strictly practice of squares and square roots on sight

Square Roots - information and calculator practice

Exponents, pages 23-26

Algebra Exponents - a tutorial and quiz on line for additional review and practice

Another exponent tutorial and quiz

Tic Tac Toe Squares - practice squares, cubes, or square roots on sight

Number Patterns, pages 28-31

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

The Twelve Days of Christmas and Pascal's Triangle - Using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."

Unit 2: Ratio and Rate
Greatest Common Factor, pages 42-44

Factor Tree - type in factors to find prime factors

Factors of Whole Numbers - a game to practice greatest common factors

Ratios, Rates, Proportions, pages 45 - 65

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

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

Unit 3: Geometry and Measurement
3-D Geometry, pp 78-92

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.

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.

The volume of a box - The volume of a box can be determined by using this applet to manipulate and count unit cubes, rows of unit cubes, or layers of unit cubes.

Unit 4: Fractions and Decimals
Adding, Subtracting, and Multiplying Fractions, pages 116-143

Adding Fractions - Illustrates with pictures finding the common denominator.

Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation (scroll down the page once you get there, to find the link).

Fractions Tutorials - High-quality fractions tutorials (scroll down the page about half way)

MathSplat - Click on the right answer to addition problems or the bug splats on your windshield!

Who wants pizza? - Explains the concept of fraction, addition and multiplication with an pizza example, then has some interactive exercises.

Multiplying and Dividing Decimals, pages 145-152

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

Fraction-decimal Conversions - 3 activities

Unit 5: Data Management
Mean, Median, and Mode, page 168 Train Race - a game in which mean, median, and range are compared
Data Collection and Display, pp 169-192

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

Data Picking - Gather data to produce a frequency table; select a graph that matches your data

Displaying Data - tutorial and practice, including stem and leaf plots

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

Using Spreadsheets, pp 193-197 Quattro Pro 10 Tutorials - a series of tutorials and help sheets
Mean, Median, and Mode: Applications of Measures of Central Tendency, pages 198-201 Train Race - a game in which mean, median, and range are compared
Data Analysis, pages 202-205 Distribution of Data - tutorial and practice
Unit 6: Measuring Perimeter and Area
Area of a Parallelogram, pages 216-220

Area and Perimeter - describe patterns and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles.

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 216-220

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.

Area and Perimeter of a Trapezoid, pages 226-230 Trapezoids - Constructing, and Area - A tutorial that (a) compares sketching with constructing, and (b) has students develop a method of determining the area of a trapezoid.
Unit 7: Geometry
Congruent Figures, pages 255-259

Congruence Quest -

Congruent Shapes - a tutorial using Geometer's Sketchpad

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

Transformations, pages 261-265

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.

Practising Tessellations - a gsp file with built-in directions to learn the steps of creating tessellations with GSP

Rotated Tessellations - Directions to turn an equilateral triangle into a really cool hexagonal design using rotations.

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

What are Tessellations? - a well-illustrated tutorial about regular and semi-regular tessellations, in plain language

What is a tessellation? Lengthy definition with examples; also, how tessellations are named (or numbered).

Tiling Patterns, pp 266-269 What is a tiling? Clear explanation with illustrated examples of various kinds of tilings.
Using Transformations to Make Designs, pages 270-277 Rotated Tessellations - Directions to turn an equilateral triangle into a really cool hexagonal design using rotations.
Unit 8: Working with Percents
Entire Chapter

Percent Review: displaying percents, converting, estimating percents

Percentages – Discover relationships between fractions, percents, and decimals (scroll down the page once you get there, to find the link).

Unit 9: Integers
General: pages 327-336

Builder Ted - activity that places integers in numerical order

Temperature Quiz - from the BBC

Adding Integers, pages 337-344
Circle 0, Circle 21, Circle 99 - three java applets involving the addition of positive and negative numbers (scroll down the page once you get there, to find the links)
Color Chips - Addition - Use this java applet to drag color chips to visualize addition of integers

Integer Addition - A gsp file to help you visualize adding integers with a number line

Line Jumper Activity - solve + and - integer problems using the number line
Subtracting Integers, pages 351-355 Color Chips - Subtraction - Use this java applet to drag color chips to visualize subtraction of integers
Unit 10: Patterning and Algebra
Order of Operations review, page 366

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

Graphing on a Coordinate Grid review, page 367
Simple Coordinates Game - investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
Simple Maze Game - investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.
Number Patterns, pages 368-372

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.

Sequences - Work out the 4th, 5th, 10th, 20th and nth terms in a number sequence.

Spooky Sequences - square numbers
Spooky Sequences - triangular numbers
Evaluating Expressions, pages 383-386 Substitution - Evaluate the expressions by substituting numbers for letters.
Reading and Writing Equations, pages 387-389 Lesson on Writing Algebraic Equations - tutorial with on-line practice
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.


 Unit Lesson Topic Videos Resources
 1    
  1.1Patterns in DivisionDivision Basics
Common Divisibility Examples

Divisibility Rules
More Divisibility Rules & Patterns
Definition of "divisible"
  1.2More Patterns in DivisionDivision PatternsMore divisibility patterns
Divisibility Game
Vector Kids Divisibility Game
Divisibility by 10, 5 & 2
Divisibility by 3 & 9
Divisibility by 6
Divisibility by 4 & 8
  1.3Algebraic ExpressionsWhat is an "expression"
What is an "Algebraic Expression"?
Introduction to "Algebraic Expressions"
Using Expressions
Introduction to Algebra
Introduction to Algebraic Expressions
  1.4Relationships in Patterns Relationships in PatternsNumber Sequences
Patterns & Relationships (Grades 7 - 9)
Practice with Number Sequence Patterns
Applying Pattern Rules(interactive practice)
  1.5Patterns & Relationships in TablesPatterns & Tables
Creating Equations from Patterns
Finding the rule in a function table
Patterns in Tables(interactive practice)
Solving Problems using a Table of Values
Using a Scatter Plot to Represent a Sequence
  1.6Graphing RelationsGraphing Overview
Graphing Patterns with Scatterplot
Direct Variation & its graph and relationships
Graph a Line from an Equation
Block Patterns - Interactive Manipulative
Grapher - Interactive Manipulative
  1.7Reading & Writing EquationsMaintaining Balance When Solving Equations
Reading & Writing Algebraic Expressions
Read & Write Algebraic Expressions using Parentheses
Using Variables to Write Pattern Rules
Creating & Evaluating Expressions
Writing Algebraic Equations
Writing Equations
Writing Equations - Interactive Practice
Algebra Balance Scales
Algebra Balance Scales - Negatives
  1.8Solving Equations Using Algebra TilesMaintaining Balance When Solving Equations
Solving Equations using the Balance Scales
Using Algebra Tiles to Solve Equations
Model & Solve Equations using Algebra Tiles
Algebra Balance Scales
Algebra Balance Scales - Negatives
 2    
  2.1Representing Integers - Positive & Negative NumbersUsing Integer Tiles 
Representing Integers

Adding & Subtracting Integers using Zero Pairs (various videos)
Integers
Representing Integers (interactive)
Integer Tiles (Worksheet Practice)
Integers - Explanation from Text Book
Using Integer Tiles for Addition & Subtraction
  2.2Adding Integers with TilesAdding & Subtracting Integers using Zero Pairs (various videos)Using Integer Tiles for Addition & Subtraction
Adding Integers using the Zero Principle
Algebra Balance Scales
  2.3Adding Integers on a Number LineAdding & Subtracting Integers using Zero Pairs (various videos)Using Integer Tiles for Addition & Subtraction
Adding Integers using the Zero Principle
Algebra Balance Scales
  2.4Subtracting Integers with TilesAdding & Subtracting Integers using Zero Pairs (various videos) 
  2.5Subtracting Integers on a number LineAdding & Subtracting Integers using Zero Pairs (various videos) 
 3    
  3.1Fractions to DecimalsConverting Fractions to Decimals (Division Method)