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Mathematics
Information about Mathematical Equations, Geometry Etc.
| Question | Answer |
|---|---|
| How many diagonals does a rectangle have? | 2. |
| What are they? | Congruent. |
| What does one diagonal do to another | bisects the other. |
| Each diagonal divides the rectangle into how many right tringles? | 2 congruent right triangles. |
| Because triangles are congruent they have what? | Same area and each triangle is half of the area of a rectangle. |
| What is the diagonal of a rectangle? | The diagonal of a rectangle is the hypotenuse of a triangle (mostly a right triangle). |
| What is mainly found using the Pythagorean/Pythagorus Theorem? | The Hypotenuse. |
| When are 2 shapes similar? | They are similar if there is only once difference, size. |
| why is it useful? | It is useful because corresponding angles are equal. Lines are in proportion |
| What is a ratio? | a comparison of two numbers or two like quantities by division |
| what is a proportion? | an equation which states that 2 ratios are equivalent |
| What is a ratio usually written as? | A fraction in simpest form |
| Does a ratio have to be a proper fraction? | No |
| Is it ever written as a mixed number | Never would it be written as a mixed number |
| How do you write a ratio in simplest form? | You would divide both the numerator and the denominator by the GCF. |
| What is a rate? | A ratio that uses different units. |
| Does order matter when it comes to ratios? | Absolutely |
| Is it important to keep the unit of measure throughout the computation? | Yes |
| What is a unit rate? | a rate that is simplified so that it has a denominator of 1 |
| unit rates can be used to do what? | Unit rates can be used to comparison shop |
| Is there only one way to find unit rates? | No |
| What are two ways? | Simplify the fraction until the denominator is one Another way is to divide the cost by the quantity |
| What is a better bargain when comparing unit rate? | The lower priced item |
| What do most mathematicians prefer when it comes to proportions | fraction form |
| Is proportional reasoning useful? | yes |
| Where would you find it useful | cooking for a larger group than usual, a chef will use proportional reasoning to double or triple a recipe architects use proportional reasoning to create models and scale drawings |
| what is the concept in proportional reasoning | equivalent fractions |
| How do you check equivalent fractions? | cross multiplication and it helps us to find the missing peace of the proportion |
| What do you do while solving proportions | you use knowledge of cross-products being equal |
| When are 2 figures similar? | When there is only a difference in size and rotation or flip or mirror |
| The properties of similar triangles are used when? | the properties of similar triangles are often used for indirect measurement. |
| When would you use indirect measurement? | If you cannot measure the height of an object because it sit too tall or far away, you can use indirect measurement to find the value. |
| what is the concept used in similar figures? | proportions |
| 15x | 15= co-efficient x= variable |
| Is a scale drawing a proportionally correct drawing? | yes |
| What are examples used in scale drawing? | maps, blueprints, photos and models |
| What does the scale give a relationship between? | measurements on the drawing or model and the measurements on the real object |
| what is the formula used in scale drawing? | Scale= measurements of model: measurement of real object |
| When it comes to word problems what is useful? | writing down the units |
| what is an integer? | The set of who le numbers and their opposites is called a set of integers. |
| What do we use to compare integers | a number line |
| What does a st of rational numbers consist of? | all numbers that could or can be expressed in the from a/b where a and b are integers and b is not equal to 0 |
| can rational numbers be written in different forms? | yes they can be written in different forms |
| how can they be represented? | they can be represented as a fraction, decimal or percentage. |
| What are irrational numbers? | Irrational numbers are numbers that cannot be written in the from of a/b where a is any integer and b is any nonzero integer |
| What are irrational and rational numbers combined? | Real numbers |
| What is scientific notation? | Scientific notation is a simple way to write very large or very small numbers. |
| can numbers in scientific notation have negative integers? | yes |
Created by:
iluvaction
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