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Math 6 - Unit

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Estimation 180 Questions

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Estimation 180 Questions

• 1) What is Mr. Stadel’s height?

• 2) What is Mrs. Stadel’s height?

• 3) What is my son’s height?

• 4) …….

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Factor Rainbow Practice

•1) 6 2) 93) 10

•4) 12 5) 216) 18

•7) 16 8) 259) 31

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Introduction to Ratios

Definition of Ratio: Shows the relative size of two or more values

Ratios can be represented in three ways:• Part to Part stars to circles 3:4• Part to Whole stars to shapes 3:7• Whole to Part shapes to circles 7:4

Part- describes a portion or part of the pictureWhole - describes the whole picture

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Ratios can be written in three ways:

1) Using a colon Example 3 : 4, 3 : 7, 7 : 4

2) Using the word “to”Example 3 to 4, 3 to 7, 7 to 4

3) As a fraction (only part to whole ratios can be written like this) Example: 3/7

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Practice Writing Equivalent Ratios

Write 3 equivalent ratios for each ratio below.

1) 2:3

2) 1:4

3) 5:8

4)

5)

6)

7) 2 to 9

8) 9 to 14

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•Ratio – A ratio is a comparison between two or more quantities that are related.

• Ratios can be equivalent to each other in the same way that fractions can be.

•Example• Girls to Boys 3:2

Is equivalent to the ratio of girls to boys 6: 4

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Reduce the following ratios:

1) 2:4

2) 6:9

3) 5:15

4) 12:20

5) 18:45

6) 21:49

7) 30:72

8) 39:52

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Handout in classTo print the handout from home,

follow the link below:http://

www.amathsdictionaryforkids.com/mathsCharts.html

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What is a ratio?

A ratio is a comparison of two quantities.

3 ways to write ratios: Using the word “to”Using a colon.Using a fraction bar (only when it is a part to whole ratio)

3 types of ratios: Part to PartPart to WholeWhole to Part

What is an equivalent ratio?How do you decide if two ratios are equivalent?

A ratio is a comparison of two quantities.

How to simplify ratios: Simplify ratios by finding a common factor and dividing each number in the ratio by that factor until you cannot reduced any further.

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Unit RatesWhat is the difference between a ratio and a rate?

Ratio: Division of comparisons of quantities with the same unit.

(Example: 1 tsp of lemonade mix to 30 tsps. of water)

Rate: A special type of ratio, a division comparison of two quantities with different units

Quantity of something out of 1. (1 is in the denominator)(Example: 65 miles / 1 hour)

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Unit 2 Cover Page(Wordle)

Hand out in class

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Comparing Fractions

Parts of a Fraction

1) If the numerator is the same, compare the denominator. The larger the denominator, the smaller the fraction. 1/3 < ½

2) If the denominator is the same, compare the numerator. The larger the numerator, the more pieces of the fraction there are, so it is larger. 2/3 > 1/3

3) Compare the fraction to the landmark fraction ½. If one fraction is greater than ½ and one is less than 1/2 , it makes comparing the two fractions easier. 3/8 < 5/7

4) Cross multiplication method. – Details on Pg 21.

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4) Cross Multiplication Method for comparing fractions.

Why does this work?

When we find common denominators we typically multiply the two denominators to find a new denominator. Then we have to multiply each numerator by the denominator of the opposing fraction in order to form our “new” numerators. Once our new fractions are created and our denominators are the same, all we have to do is compare numerators. This short cut works the same math, just in fewer steps. Cool huh?