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8/23/2021

## Old Unit4 Agendasmrs. Colville's Math Class

46

### 1.1

Standards, unpacking a task, math routines and rituals, maintenance activities and more, please refer to the Grade Level Overview. In this unit, students will:. Establish daily math routines to be carried out throughout the year, such as lunch count, daily questions, calendar activities, working with a 0-99 chart, etc. The standards for mathematical practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education. Math as more than a set of mnemonics or discrete procedures. Students demonstrate deep conceptual understanding of foundational mathematics concepts by applying them to new situations, as well as writing and speaking about their understanding. Memorization: The rapid recall of arithmetic facts or mathematical procedures. Memorization is often. Child will encounter in its math development. When a child can multiply (and divide) without much thinking and without falling back on adding numbers, it will learn all future math topics much easier. Its all related! Children who can not, or have difficulties in reciting the times tables will lack speed and accuracy to master more.

1.

Soln:

A man can enter the stadium in 4 ways. Again the man can leave the stadium in 9 ways.

Sierra hoyle classic card games. So, total no.of ways with which a man enters and then leaves the stadium = 4 * 9 = 36ways.

2.

Soln:

There are 6 choices for a student to enter the hostel. There are 5 choices for a student to leave the hostel as different door is to be used.

So, total no.of ways = 6 * 5 = 30.

3.

Soln:

There are 7 choices for 1st son, 6 choices for 2nd son and 5 choices for 3rd son.

Now, by the basic principle of counting, the total number of ways of choice = 7 * 6 * 5 = 210.

4.

### Old Unit4 Agendasmrs. Colville's Math Class 1

Soln:

A man can go from city A to city B in 5 ways. As he has to return by a different road, so he can return from city B to city A in 4 ways.

So, total no.of ways by which a man can go from city A to city B and returns by a different road = 5 * 4 = 20 ways.

5.

Soln:

A person can go from city A to city B in 5 ways. Again, he can go from city B to city C in 4 ways. So, a person can go from city A to city C in 5 * 4 = 20ways. The person has to return from C to A without driving on the same road twice, So, he can return from city C to city B in 3 ways and from city B to city A in 4 ways.

So, he can return from city C to city A in 3 * 4 = 12 ways. So, Total no.of ways by which a person can go from city A to city C and return from city C to city A = 20 * 12 = 240 ways.

6.

Soln: Numbers formed should be of at least 3 digits means they may be of 3 digits, 4 digits, 5 digits or 6 digits.

There are 6 choices for digit in the units place. There are 5 and 4 choices for digits in ten and hundred’s place respectively.

So, total number of ways by which 3 digits numbers can be formed = 6.5.4 = 120

Similarly, the total no.of ways by which 4 digits numbers can be formed = 6.5.4.3 = 360.

the total no. of ways by which 5 digits numbers can be formed = 6.5.4.3.2 = 720.

The total no.of ways by which 4 digits numbers can be formed = 6.5.4.3.2.1 = 720.

So, total no.of ways by which the numbers of at least 3 digits can be formed = 120 + 360 + 720 + 720 = 1920. 7.

Soln:

The numbers formed must be of three digits and less than 500, so the digit in the hundred’s place should be 1,2,3 or 4. So, there are 4 choices for the digit in the hundred’s place. There are 5 choice for the digit in the ten’s place. There are 4 choices for the digit in the unit’s place.

So, no of ways by which 3 digits numbers les than 500 can be formed = 4.5.4 = 80.

8.

Soln:

The numbers formed should be even. So, the digit in the unit’s place must be 2 or 4. So, the digit in unit’s place must be 2 or 4. So, for the digit in unit’s place, there are 2 choices. So, after fixing the digit in the unit’s place, remaining 4 figures can be arranged in P(4,4) ways.

Ie. \$frac{{left( 4 right)!}}{{left( {4 - 4} right)!}}\$ = \$frac{{4!}}{{0!}}\$ = \$frac{{4{rm{*}}3{rm{*}}2{rm{*}}1}}{1}\$ = 24 ways.

So, total no.of ways by which 5 even numbers can be formed = 2 * 24 = 48.

9. Soln:

The numbers formed must be of 4 digits. The digit in the thousand’s place must always be 4. For this, there is only one choice. After that, n = 6 – 1 = 5, r = 4 – 1 = 3. Then remaining 5 figures can be placed in remaining 3 places in:

Or, P(5,3) ways = \$frac{{5!}}{{left( {5 - 3} right)!}}\$ = \$frac{{5!}}{{2!}}\$ = \$frac{{5{rm{*}}4{rm{*}}3{rm{*}}2{rm{*}}1}}{{2{rm{*}}1}}\$ = 60 ways.

So, Total no.of ways by which 4 digits numbers between 4,000 and 5,000 can be formed = 1 * 60 = 60.

10.

Soln:

For the three digits numbers, there are 5 ways to fill in the 1st place, there are 4 ways to fill in the 2nd place and there are 3 ways to fill in the 3rd place. By the basic principle of counting, number of three digits numbers = 5 * 4 * 3 = 60.

### Old Unit4 Agendasmrs. Colville's Math Classroom

Again, for three digit numbers which are divisible by 5, the number in the unit place must be 5. So, the unit place can be filled up in 1 way. After filling up the unit place 4 numbers are left. Ten’s place can be filled up in 4 ways and hundredths place can be filled up in 3 ways. Then by the basic principle of counting, no.of 3 digits numbers which are divisible by 5 = 1 * 4 * 3 = 12. ### Old Unit4 Agendasmrs. Colville's Math Classes

Virginia SOL Resources : Games and links for teachers K - 5 : Teacher Worksheets‎ > ‎4th Grade: Virginia SOL Resources: Games, Links, Worksheets for Virginia Studies‎ > ‎

### 4th Grade Math: Virginia Teaching Resources : Teacher Resources

SOLTeacher provides teacher worksheets, technology, and activities that correlate to Virginia Standards of Learning: SOL.

 through the RoundingSOL 4.1c FractionsSOL 4.2 Round DecimalsSOL 4.3b Compare DecimalsSOL 4.3c DecimalModelsSOL 4.3d EstimateSOL 4.4a Add, Subtract & MultiplySOL 4.4b DivisionSOL 4.4c Step ProblemsSOL 4.4d Common Multiples & FactorsSOL 4.5a Add and Subtract FractionsSOL 4.5b Add & Subtract DecimalsSOL 4.5c Step ProblemsSOL 4.5d Weight & MassSOL 4.6 LengthSOL 4.7 VolumeSOL 4.8 Elapsed TimeSOL 4.9 LinesSOL 4.10 Geometric TransformationSOL 4.11 PolygonsSOL 4.12 ProbabilitySOL 4.13 Data PatternsSOL 4.15 EqualitySOL 4.16a Associative PropertySOL 4.16b Math TutorialsKhan AcademyMath Live
Collection of Teacher Resources for Fourth Grade Math: Teacher Worksheets, Word Wall Cards, Power Points, and linked games that will enhance and help others meet the Virginia Standards of Learning. All categories are broken down according to their SOL number for 4th grade Math.