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 5th grade learners are designed to follow closely the Common Core standards for math for 5th grade pupils.
Here are the key components of the math curriculum for Ratio and proportion for ages 10 to 11:
Understanding Ratios: Students develop an understanding of ratios as a comparison of two quantities. They learn to express ratios using the "a to b" or "a:b" notation and understand that ratios can be written in different equivalent forms.
Ratio Relationships: Students explore ratio relationships in various contexts. They learn to identify and describe proportional relationships between quantities and understand that ratios can represent part-to-part or part-to-whole relationships.
Simplifying Ratios: Students practice simplifying ratios by dividing both terms by their greatest common factor. They learn to identify and work with equivalent ratios, allowing them to compare and relate different ratios to one another.
Proportional Reasoning: Students develop proportional reasoning skills by analyzing and solving problems involving ratios and proportions. They learn to identify proportional relationships in tables, graphs, and real-life situations. They also solve problems using the concept of cross-multiplication.
Solving Proportion Problems: Students learn strategies for solving proportion problems. They apply the idea that two ratios are equal to set up and solve proportions. They also solve problems involving unit rates and scale factors.
Scaling: Students explore scaling in the context of ratios and proportions. They learn to scale measurements, shapes, and objects up or down by multiplying or dividing by the same factor.
Problem Solving: Ratio and proportion concepts are applied to solve a variety of real-life and mathematical problems. Students analyze word problems, identify the relevant information, and determine the appropriate ratio or proportion strategy to find solutions. They also practice explaining their reasoning and justifying their answers.
The curriculum aims to foster a deep understanding of ratio and proportion concepts, including comparisons, simplification, proportional reasoning, and problem-solving. By the age of 10 to 11, students are expected to have a solid foundation in ratio and proportion and be ready to apply their knowledge in more complex mathematical contexts.
Double the size
Use multiplication and division to get double the size of the objects or values
Triple the size
Use multiplication and division to find triple the given values and measures
Five times the size
Use multiplication and division to find five times the given sizes
Half the size
Use multiplication and division to find half of the given quantities and measures
A third of the size
Use multiplication and division to find a third of the size of the given values and measures
A fifth of the size
Use multiplication and division to find a fifth of the given values and measures
Total size from decimal portion
Use multiplication and division to calculate the whole value or measure from the given decimal portion
Relative size: find scale factor
Use multiplication and division to find the scale factor given original and final sizes
Find 10%
From 100% find out what 10% is using division (without using your calculator)
Find 30%
Find 30% by breaking up each given value into 3 lots of 10% (no calculator)
Find 15%
Find 15% by breaking up each given value into a 10% and a 5% and adding them together
Find 15% with calculator
Find 15% with your calculator using the multiplier 0.15
Find 8% with calculator
Find 8% with your calculator using the multiplier 0.08
Find 80% with calculator
Find 80% with your calculator using the multiplier 0.8
Express 2 values as a percentage
Express 2 values as a percentage by creating a fraction from the 2 numbers and multiplying by 100
Compare fractions, decimals, percent
Compare proportions using fractions, decimals and percent and say which is the biggest part of the whole
Percentages of different measures
Identify which percentage of a length is the longest
Scale factors: calculate dimensions
Use the scale factor and model or drawing dimensions to calculate the real dimensions
Similar shapes: find scale factor
Use the properties of similar shapes to find the scale factor
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 elementary math level commonly taught in US schools. This means that you as an elementary 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 elementary level topic selection page. On the topic selection page you will see that the topics are divided up:
Since you are currently within the elementary section of Free Math Games you will see the elementary topics. The elementary 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 fifth grade, then the category: "Fractions" you will be offered a choice of fraction sub-categories and topics suitable for Grade 5. Click on each 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.
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