Topic icon key | ||
eq | Equation | Each item in the topic is in the form of an equation |
id | Identify | Each item in the topic is a thing |
mi | Missing item | Each item in the topic is a statement with a missing term |
10 | Number of items | There are 10 items in this topic |
8 | Extended items | Additional questions for games and tests in this topic |
Our math topics for 8th grade learners are designed to follow closely the Common Core standards for math for 8th grade pupils.
Here are some key aspects of the math curriculum for ratio, proportion and rate for students aged 13 to 14:
Advanced Proportional Relationships: Students deepen their understanding of proportional relationships. They explore concepts such as constant of proportionality, direct and inverse variation, and joint variation. They analyze these relationships using tables, graphs, and equations, and apply them to solve complex problems.
Scale Drawings and Maps: Students learn to create and interpret scale drawings and maps. They understand the concept of scale and how it relates to ratios. They use scale factors to enlarge or reduce figures and solve problems involving scale drawings and maps.
Similar Figures: Students explore the properties of similar figures. They learn to identify and analyze corresponding angles and proportional side lengths in similar figures. They use ratios to determine missing side lengths and solve problems involving similar figures.
Rates and Proportional Reasoning: Students deepen their understanding of rates and proportional reasoning. They explore rates of change, constant rates, and average rates. They apply these concepts to analyze real-world situations, interpret graphs, and solve problems involving rates.
Percentages and Applications: Students extend their knowledge of percentages. They explore topics such as percent increase and decrease, compound interest, and percent error. They solve problems involving these concepts and apply percentages to various real-life scenarios.
Proportional Relationships in Geometry: Students apply proportional reasoning to geometric concepts. They explore properties of triangles, quadrilaterals, and other polygons using ratios and proportions. They investigate relationships between side lengths, angles, and areas of similar figures.
Solving Complex Ratio Problems: Students tackle more complex ratio problems that require multiple steps and a combination of different concepts. They solve problems involving compound ratios, continuous proportions, and proportional reasoning in a variety of contexts.
Data Analysis and Statistics: Students analyze and interpret data using ratios, proportions, and rates. They learn to create and analyze various types of graphs, such as bar graphs, line graphs, and circle graphs. They use these tools to draw conclusions, make predictions, and solve problems related to ratios and rates.
Throughout the curriculum, students engage in hands-on activities, mathematical modeling, and real-world applications to reinforce their understanding of ratios, proportions, and rates. They develop their skills in logical reasoning, critical thinking, and applying mathematical concepts to solve complex problems. Communication of mathematical ideas, justifications, and mathematical language usage is also emphasized.
Increase by a percentage
Derive the actual increase from the percentage increase and add it to the original quantity or amount
Decrease by a percentage
Derive the actual decrease from the percentage decrease and subtract it from the original quantity
Express as a percentage
Express quantities as percentages by creating a fraction and multiplying by 100
Calculate percentage increase
Get the percentage increase by expressing the increase as a fraction of the original and multiplying by 100
Calculate percentage decrease
Get the percentage decrease by expressing the decrease as a fraction of the original and multiplying that amount by 100
Increase by % with calculator
Derive the actual increase from the percentage increase and add it to the original quantity or amount (to 1 d.p.)
Decrease by % with calculator
Calculate the new quantity or amount by using a decimal multiplier; answers to 2 d.p.
Express quantities as % with calculator
Express quantities of wholes as percentages by converting to a fraction and multiplying by 100 to (1 d.p.)
A topic is selected at the beginning of a session at Free Math Games and will be remembered when you move between games or activities. The math for the topic is carefully constructed to match the level of difficulty taught in US schools. This means that you as a secondary pupil should see similar math problems to those you are seeing at school (if you are at school) for any particular subject. Please let us know if that is not the case.
See the help box below for instructions on choosing a topic here at Free Math Games.
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
Click on the "1. Start" button in the top navigation bar - that brings you to this Secondary level topic selection page. On the topic selection page you will see that the topics are divided up:
Since you are currently within the Secondary section of Free Math Games you will see the Secondary topics. The Secondary grades will have loaded. Choose your grade. The broad categories available will load. Click on a category to see the available sub-categories and topics.
For example, if you choose 7th grade, then the category: "Algebra" and the sub-category "Sequences" you will be offered a choice of sub-sub-categories and topics suitable for your school grade - in the case of this example, "Generating terms" and "nth term expressions". Click on each sub-sub-category to view the available topics.
When you click on the name of a topic, the topic will load into the lesson page (once a topic has loaded it will be available for all activities and will not have to be downloaded again) and the lesson start page will be displayed. You can choose to do the lesson or jump immediately to the games using that topic.
Secondary math home | Math topics | Math lessons | Math games | Math tests
Preschool math | Elementary math | Secondary math
Site home page | Privacy policy | FAQ | Contact | Acknowledgements | Blog
Select your view: