Grade 7 Mathematics
- Math Makes Sense Supplements and MORE!
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.
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 |
| |||||||
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. 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 |
| |||||||
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 |
| |||||||
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.
| |||||||
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. |