Math 2 Lesson Plans

WASL Countdown - March 24 to April 18 Class days remaining and topics to be reviewed...
*April 14* Equations Review	*April 15* Inequalities	*April 16* Units of Measure 238-240 78-80 Percent Proportons 462-465	*April 17* Area Formulas	*April 18* Fraction Decimal Percent Ratio

Terms needed: population density rate ratio scale, scaling constant proportion

Past terms: decimal difference equation equivalence fraction graph, coordinate graph percent scale factor

OBJECTIVE: #To Further develop the ability to make sensible comparisons of data using ratios, fractions and decimal rates with a focus on percents #To develop the ability to make judgments about rounding data to estimate ratio comparisons #To observe what is common about situations that call for a certain type of ratio comparison ACTIVITIES: WASL Review 'Equations Review' Pp86-87 Review /Correct Check-Up 1 NOTES: HOMEWORK: P23 #16 & P17 19-22

OBJECTIVE: See 4-14 Above. ACTIVITIES: WASL Review 'Inequalities;' Review of the means of comparing and scaling (students take notes). If there is time, an introduction of investigation 3. NOTES: HOMEWORK: P23+ 25&26

What this unit is about...

1) ratios - ratios are comparing two numbers. 
	There are three forms of ratios:
		a) three cats to five dogs = 3 to 5
		b) three cats to five dogs = 3:5
		c) three cats to five dogs = 3/5
	There are three kinds of ratios:
		a) part to whole - three cats of eight pets
		b) part to part - three cats to five dogs 
		c) comparing two different kinds of things
			 - three cats to two chairs
2) differences - The difference between two sets
	a) there are two more dogs then cats
	b) there are two less cats then dogs
3) fractions (Must be part to whole ratios)
	a) 3/8 of the pets are cats
	b) 5/8 of the pets are dogs
4) percentages (Must be part to whole ratios)
	a) (3/8 x 100) = 37.5% of the pets are cats
	b) (5/8 x 100) = 62.5% of the pets are dogs
5) scaling (up or down to make equivalent ratios)
	a) There are 1.666 times as many dogs as cats
	b) there are  cats = 0.6 times dogs

NOTE: Percents are useful for making comparisons because everthing is changed to 'out of 100.'

NOTE: Fractions and percents can only be used when referring to the part of a whole. For example, comparing 3 cats to 5 dogs cannot be indicated with a fraction or a percent. While it is true that 3/5 IS a fraction, in this case it is not a comparison that makes sense as a fraction of a percent. As a RATIO it is OK. Consider: 3/5 = 0.6 as a decimal and 60% as a fraction. But in the context of the problem of 3 cats and 5 dogs, what exactly would the 60% mean? Of course, if we talk about the WHOLE group of 8 pets, then 3/8 for the cats would mean 37.5% of the pets.

OBJECTIVE: #To recognize situations in which ratios are a useful form of comparison #To form, label and interpret ratios from numbers given or implied in a situation. #To explore several informal strategies for solving scaling problems involving ratios (which is equivalent to solving proportions) ACTIVITIES: WASL Review 'Measure & % Proportion'; Investigation 3 Comparing by using ratios - Page 28 Problem 3.1 and follow-Up Mixing Juice. NOTES: Be sure to review page 26 and top of P27!! HOMEWORK: P31+ 1-2&9-11

OBJECTIVE: See 4-16 above. ACTIVITIES: WASL Review Area Formulas: P29 Problem 3.2 and Follow-Up - Helping the cook. NOTES: Deviding to find per unit costs (review) HOMEWORK: P31 3-5

OBJECTIVE: See 4-16 above. ACTIVITIES: WASL Review 'Fraction-Ratio /Decimal /percent'; P30, Problem 3.3 and follow-Up Sharing Pizza NOTES: Will seque into a review of fractions (again) HOMEWORK: P32+ 7/8/13-18