Ludus for Mathematics – Classroom 1

Ludus for Mathematics – Classroom 1
Ver 2010DEC21 Oh, So Top Secret OSTS Barnacle Bill Originator Barnacle Bill Synthesizer Prepared for Learners in Adams County School District 50 to achieve proficient or advanced on all assessments related to Mathematics topics contained herein. Use Permissions Contact: Not for sale or publishing. Classroom use only.

OSTS Level Topics Level 7 - Divisibility
Level 8 – Perfect Squares & Square Roots Level 9 – Fractions, Ratios, & Percents Level 10 – Ratios, Proportions & Percents Level 11 – Exponential Notation Level 12 – Scientific Notation Level 13 – Matrix Addition & Subtraction Level 14 – Exponential Equations Grab Bag – ACT Math Questions OSTS

Directions: Click on the yellow numbered buttons to select a question
Directions: Click on the yellow numbered buttons to select a question. They are active. Mathematics Levels OSTS 7 8 9 10 11 12 13 14 Grab Bag 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70

OSTS Answer Level 7 Question 1
A number is divisible by another number when the quotient is a whole number and the remainder is _____. 10 5 4 3 2 1 OSTS Answer

OSTS Level 7 Answer 1 g. 0 A number is divisible by another
number when the quotient is a whole number and the remainder is 0. OSTS Category Return 4

Which of the following numbers is a perfect square? Why? 5 10 25 50 OSTS Answer

A number x itself forms a perfect square.
Level 8 Answer 2 c. 25 5 x 5 = 25 A number x itself forms a perfect square. OSTS Category Return 4

Select the ratio from the answers below _____. 34 out of 100 34:100 34/100 All of the above None of the above OSTS Answer

OSTS Level 9 Answer 3 d. All of the above
34 out of 100, 34:100, and 34/100 OSTS Category Return 4

The comparison of two quantities with different types of units is called a _____. For example: $5 for 2 lbs of cherries OSTS Answer

Level 10 Answer 4 The comparison of two quantities with different types of units is called a rate. For example: $5 for 2 lbs of cherries OSTS Category Return 4

To simplify the expression (5x7)(x6), you would apply the _____ rule. Power of a Power  (am)n = amn Product of Powers  aman = am+n Quotient of Powers  am/an = am-n Power of a Quotient  (a/b)m= am/bm Zero Exponent  a0 = 1 Negative Exponent  a-n = 1/an OSTS Answer

b. Product of Powers  aman = am+n
Level 11 Answer 5 To simplify the expression (5x7)(x6), you would apply the _____ rule. b. Product of Powers  aman = am+n 5 x(7+6) = 5x13 OSTS Category Return 4

Select the standard form numbers from below. 6,345 6.345 x 103 6.345 x 10 x 10 x 10 6.345 x 10-3 6.345 x 10-1 x 10-1 x 10-1 OSTS Answer

OSTS Level 12 Answer 6 4 Select the standard form numbers from below.
6,345 d OSTS Category Return 4

A rectangular arrow of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets is called a(n) _____. element dimension array matrix OSTS Answer

Level 13 Answer 7 d. matrix OSTS Category Return 4

A quadratic function can be written in the form (standard form) _____. a. y = ax b. y = ax2 + bx + c c. y = bx + c OSTS Answer

Level 14 Answer 8 b. y = ax2 + bx + c OSTS Category Return 4

OSTS Answer Grab Bag Question 9
If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following? 12 18 26 I only II only I and II only I, II, and III None OSTS Answer

Grab Bag Answer 9 b. II only OSTS Category Return 4

When 4/11 is written as a decimal, what is the 100th digit after the decimal point? f. 3 g. 4 h. 5 j. 6 k. 7 OSTS Answer

Grab Bag Answer 10 j. 6 OSTS Category Return 4

OSTS Answer Level 7 Question 11 How do you know 42 is divisible by 6?
I can apply the Divisibility Rule: The sum of the digits is divisible by 6. The last two digits form a number divisible by 6. The number is divisible by both 2 and 3. OSTS Answer

OSTS Level 7 Answer 11 c. The number is divisible by both 2 and 3
Divisibility Rule for 6 OSTS Category Return

A number x itself forms a
Level 8 Answer 12 c. 100 10 x 10 = 100 A number x itself forms a perfect square. OSTS Category Return

A _____ is a comparison of two numbers by division. OSTS Answer

A ratio is a comparison of two
Level 9 Answer 13 A ratio is a comparison of two numbers by division. Category Return

OSTS Answer Level 10 Question 14 Express each rate as a unit rate.
$50 for 4 days of work 3 feet of snow in 5 hours OSTS Answer

OSTS Level 10 Answer 14 $50 for 4 days of work
unit rate $50 for 4 days of work Divide the both the numerator & denominator by 4. $50/4d = $12.50/1d 3 feet of snow in 5 hours Divide the both the numerator & denominator by 5 3ft/5h = 0.6ft/1h OSTS Category Return

You can find unit rates for food on the market shelves.
Back A rate is a special kind of ratio in which two quantities with different types of units are compared. The unit rate is simplified so that the denominator is 1. $10 per hour $10 per 1 h $10/1h $10/h You can find unit rates for food on the market shelves.

OSTS Answer Level 11 Question 15 Simplify.
(ab4)(ab2) (p5q4)(p2q) (-7c3)(4c) Exponent Rules OSTS Answer

Exponent Rules Power of a Power  (am)n = amn
Back Power of a Power  (am)n = amn Product of Powers  aman = am+n Quotient of Powers  am/an = am-n Power of a Quotient  (a/b)m= am/bm Zero Exponent  a0 = 1 Negative Exponent  a-n = 1/an

OSTS Level 11 Answer 15 Simplify. (ab4)(ab2) (p5q4)(p2q) (-7c3)(4c)
a(1+1)b(4+2) p(5+2)q(4+1) (-7.4)c(3+1) a2b6 p7q c4 OSTS Category Return

Select the factor form numbers from below. 6,345 6.345 x 103 6.345 x 10 x 10 x 10 6.345 x 10-3 6.345 x 10-1 x 10-1 x 10-1 OSTS Answer

OSTS Level 12 Answer 16 Select the standard form numbers from below.
c x 10 x 10 x 10 f x 10-1 x 10-1 x 10-1 OSTS Category Return

OSTS Answer Level 13 Question 17 A value in a matrix is called a(n)
array element dimension equality OSTS Answer

Level 13 Answer 17 elements OSTS elements Category Return

An exponential function can be written in the form (standard form) _____. a. y = ax b. y = ax2 + bx + c c. y = bx + c OSTS Answer

Level 14 Answer 18 a. y = ax OSTS Category Return

OSTS Answer Grab Bag Question 19 8 1/3 ÷ 6 2/3 = ? 1 ¼ 1 2/3 2 ½ 2 2/3
55 4/9 OSTS Answer

Grab Bag Answer 19 a. 1 ¼ OSTS Category Return

For how many integer values of x will 7/x be greater than ¼ and less than 1/3? f. 6 g. 7 h. 12 j. 28 k. infinitely many OSTS Answer

Grab Bag Answer 20 g. 7 OSTS Category Return

How do you know 2,324 is divisible by 4? I can apply the Divisibility Rule: the sum of the digits is divisible by 4. The last two digits form a number divisible by 4. The number is divisible by both 2 and 3. The sum of the digits is divisible by 4. OSTS Answer

d. The last two digits form a number divisible by 4.
Level 7 Answer 21 d. The last two digits form a number divisible by 4. Divisibility Rule for 4 OSTS Category Return

OSTS Level 8 Answer 22 a, b, c, and d are all perfect squares.
11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 OSTS Category Return

When a ratio compares a number to 100, it can be written as a _____. OSTS Answer

Level 9 Answer 23 percent OSTS Category Return

For the 2000 census, the population of Texas was about 20,900,000 and the population of Illinois was about 12,500,000. There were 30 members of the U.S. House of Representatives from Texas and 19 from Illinois. In which state did a member represent more people? OSTS Answer

OSTS Level 10 Answer 24 Texas: 20,900,000 people ≈ 700,000 people
30 representatives 1 representative Divide numerator & denominator by 30. Illinois: 12,500,000 people ≈ 660,000 people 19 representatives 1 representative Divide the numerator & denominator by 19. OSTS Category Return

Approximately equal to
≈ Back Approximately equal to

Exponent Rules Express the area of the figure as a monomial. a2b a2b OSTS Answer

OSTS Level 11 Answer 25 Area = side . side A = s . s A = a2b . a2b
Express the area of the figure as a monomial. a2b = s Area = side . side A = s . s A = a2b . a2b A = a(2+2)b(1+1) A = a4b2 a2b = s OSTS Category Return

Select the scientific notation numbers from below. 12,322 8.423 x 107 x 10 x 10 x 10 x 10 3.895 x 10-8 2.345 x 10-1 x 10-1 x 10-1 OSTS Answer

Level 12 Answer 26 Select the scientific notation numbers from below. b x 107 e x 10-8 OSTS Category Return

State the dimensions of the matrix below.
Level 13 Question 27 State the dimensions of the matrix below. OSTS Answer

Level 13 Answer 27 2 x 3 2 rows and 3 columns OSTS Category Return

The y-intercept for the exponential function graphed below is _____. OSTS Answer

Level 14 Answer 28 y = 1 OSTS Category Return

In a group of 25 students, 16 are female. What percentage of the group are female? 16% 40% 60% 64% 75% OSTS Answer

Grab Bag Answer 29 d. 64% OSTS Category Return

An advantage of sexual reproduction over asexual reproduction is that it allows _____. a. protection for the offspring. b. more offspring to be produced. c. more genetic variation among the offspring. d. all of the above. e. none of the above. OSTS Answer

c. more genetic variation
Grab Bag Answer 30 c. more genetic variation among the offspring. OSTS Category Return

I can apply the Divisibility Rule: The sum of the digits is divisible by 3. The last two digits form a number divisible by 9. The number is divisible by both 2 and 3. The sum of the digits is divisible by 9. OSTS Answer

d. The sum of the digits is divisible by 9.
Level 7 Answer 31 d. The sum of the digits is divisible by 9. Divisibility Rule for 9 OSTS Category Return

Determine the square root of 225 (√225). 14 15 16 17 OSTS Answer

OSTS Level 8 Answer 32 b. 15 √225 = 15 15 x 15 = 225
In this case multiplying the square roots together for the perfect square 225. OSTS Category Return

If Juan answered 8 out of 10 questions correctly, which diagram represents this ratio? B C A OSTS Answer

Level 9 Answer 33 B OSTS Category Return

You have a Trail Mix Recipe for six people. This recipe requires you to combine 3 cups of raisins with 6 cups of peanuts. But only you and your significant other will be going on the hike in El Dorado Canyon. How do you modify the recipe for only two people? OSTS Answer

OSTS Level 10 Answer 34 6 people 2 people
Divide the 6 people by 3 and divide the recipe proportions by 3. Raisins Raisins Peanuts Peanuts OSTS 1 cup of raisons & 2 cups of peanuts for 2 people. Category Return

OSTS Answer Level 11 Question 35 Simplify each expression.
Exponent Rules Simplify each expression. x0y4 2x3y2z5 y2 10xy3z4 OSTS Answer

OSTS Level 11 Answer 35 Simplify each expression. x0y4 2x3y2z5
Category Return

Show that 2.35 x 10-5 < 1 and 2.35 x 103 > 1 by creating a table. OSTS Answer

Level 12 Answer 36 Show that 2.35 x 10-5 < 1 and 2.35 x 103 > 1. Scientific Notation Factor Form Standard Form 2.35 x 10-5 2.35 x 10-1 x 10-1 x 10-1 x 10-1 x 10-1 10-1 = 1/10 = 0.1 < 1 2.35 x 103 2.35 x 101 x 101 x 101 2350 > 1 OSTS Category Return

Two matrices are considered _____ when they have the same dimensions and if each element of one matrix is equal to the corresponding element of the other matrix. square matrices zero matrices row matrices column matrices equal matrices OSTS Answer

Level 13 Answer 37 e. equal matrices OSTS Category Return

Select the graph representing a growth curve.
Level 14 Question 38 Select the graph representing a growth curve. OSTS Answer

Level 14 Answer 38 OSTS Category Return

At the end of the season, a team’s ratio of wins to losses was 3:5. If there were no ties, what percentage of its games did the team win? f. 33 1/3% g. 37 ½% h. 40% j. 60% k. 62 ½% OSTS Answer

Grab Bag Answer 39 g. 37 ½% OSTS Category Return

What is the greatest of the numbers 132, 361, 36, 312, and 123? a. 132 b. 361 c. 36 d. 312 e. 123 OSTS Answer

Grab Bag Answer 40 d. 312 OSTS Category Return

I can apply the Divisibility Rule: The sum of the digits is divisible by 5. The last digit is a number divisible by 5. The number is divisible by both 2 and 5. The sum of the last two digits is divisible by 5. OSTS Answer

b. The last digit is a number divisible by 5.
Level 7 Answer 41 b. The last digit is a number divisible by 5. Divisibility Rule for 5 OSTS Category Return

Level 8 Question 42 √625 = ? 15 20 25 30 OSTS Answer

Level 8 Answer 42 c. 25 √625 = 25 25 x 25 = 625 OSTS Category Return

Complete the ratios for the diagram below. (Yellow & Total) Which answer is the fraction format? ___ out of ___ ____ : ____ ____ / ____ OSTS Answer

OSTS Level 9 Answer 43 31 out of 88 31:88 31/88  fraction format
Category Return

OSTS Answer Level 10 Question 44 Express each ratio in simplest form:
14 chosen out of 70 who applied 28 out of 100 doctors (and then convert to percent) 153 points in 18 games OSTS Answer

OSTS Level 10 Answer 44 Category Return
Express each ratio in simplest form: 14 chosen out of 70 who applied 1 chosen out of 5 applicants 1 chosen / 5 applicants 1 chosen : 5 applicants 28 out of 100 doctors (and then convert to percent 7 out of 25 doctors 7/25 doctors 7 : 25 doctors 153 points in 18 games 17 points in 2 games 17 points/2 games 17 points : 2 games OSTS Category Return

Exponent Rules Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. After it passes through the amplifier, the signal has been boosted times. Simplify this expression. OSTS Answer

Level 11 Answer 45 Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. After it passes through the amplifier, the signal has been boosted times. Simplify this expression. = 10(6+6) = 1012 OSTS Category Return

Travel – The number of visitors from various countries to the United States in a recent year are listed in the table. Order the countries according to the number of visitors from greatest to least. Country Number of Visitors Canada 1.46 x 107 France 1.1 x 106 Germany 1.8 x 106 Japan 5.1 x 106 Mexico 1.03 x 107 United Kingdom 4.7 x 106 OSTS Answer

OSTS Level 12 Answer 46 Category Return Country Number of Visitors
Greatest to Least Canada 1.46 x 107 1 France 1.1 x 106 6 Germany 1.8 x 106 5 Japan 5.1 x 106 3 Mexico 1.03 x 107 2 United Kingdom 4.7 x 106 4 OSTS Category Return

Add the two matrices below. Be sure to show your method. OSTS Answer

The amount of money spent at the Outlet Mall continues to increase as modeled by T(x)=12.(1.12)x. T(x) is in millions of dollars. Two marks on the domain axis represents 1 year. A mark on the range axis represents 5 million dollars. How much money was spent at the mall in 1995 (year 0)? How much was spent in 2006 (year 10)? OSTS Answer

OSTS Level 14 Answer 48 Calculated for 2006: T(x) = 12(1.12)10
= $37.3 million Calculated for 1995: T(x) = 12(1.12)0 = $12 million About 37 million dollars spent in 2006 About 12 million dollars spent in 1995 OSTS Category Return 2006 or 10 y

OSTS Answer Grab Bag Question 49 (-2)-3 + (-3)-2 =? f. -17/72 g. -1/72
h. 0 j. 1/17 k. 17/72 OSTS Answer

Grab Bag Answer 49 g. -1/72 OSTS Category Return

OSTS Answer Grab Bag Question 50 If x = -5, then 2x2 -6x +5 = ? -15 15
25 85 135 OSTS Answer

Grab Bag Answer 50 c. 25 OSTS Category Return

I can apply the Divisibility Rule: The sum of the digits is divisible by 3. The last two digits form a number divisible by 3. The number is divisible by both 2 and 3. The product of the digits is divisible by 3. OSTS Answer

a. the sum of the digits is divisible by 3.
Level 7 Answer 51 a. the sum of the digits is divisible by 3. Divisibility Rule for 3 OSTS Category Return

OSTS Answer Level 8 Question 52 The square root of 289 is _____. 9 14
17 22 OSTS Answer

Level 8 Answer 52 c. 17 √289 = 17 17 x 17 = 289 OSTS Category Return

Write an equivalent fraction for 2/5 with a denominator of 100.
Level 9 Question 53 Write an equivalent fraction for 2/5 with a denominator of 100. OSTS Answer

OSTS Level 9 Answer 53 numerator denominator 2 x 20 5 x 20 40 100
Category Return

OSTS Answer Level 10 Question 54 Express each rate as a unit rate:
$25 for 5 dozen donuts 21.5 lbs in 12 weeks 400 m in 48.5 s OSTS Answer

OSTS Level 10 Answer 54 unit rate: $25 for 5 dozen donuts
Divide both numerator & denominator by 5. $5/1doz 21.5 lbs in 12 weeks Divide both the numerator & the denominator by 12. ≈ 1.8 lbs/1 week 400 m in 48.5 s Divide both the numerator & the denominator by 48.5. ≈ 8.25 m/1 s OSTS Category Return

Exponent Rules Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. Represent the number of times the signal has been boosted after it has passed through the first four amplifiers as a power of 106. Then simplify the expression. OSTS Answer

Level 11 Answer 55 Old Technology – The first transatlantic cable has 51 amplifiers along its length. Each amplifier strengthens the signal on the cable 106 times. Represent the number of times the signal has been boosted after it has passed through the first four amplifiers as a power of 106. Then simplify the expression. (106)4 = 10(6x4) = 1024 OSTS Category Return

Electromagnetic Radiation
Level 12 Question 56 Electromagnetic Radiation Wavelength Radiowave 10 km X rays 4.5 x 10-1 nm UV rays 6.5 x 101 nm Red 6.5 x 102 nm Violet 425 nm Microwaves 5 x 101 mm Gamma rays 800 x 10-5 nm Electromagnetic Spectrum – Astronomers observe electromagnetic radiation (including visible and non-visible) at various wavelengths to gain information and understandings about our cosmos. The table contains some typical wavelengths of the spectrum. Place them in order of the smallest to the largest wavelength. Hint: Convert to the same unit. 1 km = 1000 m 100 cm = 1 m mm = 1cm 1000 μm = 1 mm nm = 1 μm OSTS Answer

Electromagnetic Radiation Smallest to Largest Wavelength
Level 12 Answer 56 Electromagnetic Radiation Wavelength Conversion to nm Smallest to Largest Wavelength Radio wave 10 km 10 km (1000m/km) x (100cm/m)(10mm/cm) x (1000μm/mm)(1000nm/μm) = 1 x 1013 7 X ray 4.5 x 10-1 nm 4.5 x 10-1 2 UV ray 6.5 x 101 nm 6.5 x 101 3 Red 6.5 x 102 nm 6.5 x 102 5 Violet 425 nm 4.25 x 102 4 Microwave 5 x 101 mm 55 mm (1000μm/mm) x (1000nm/μm) = 5.5 x 107 6 Gamma ray 800 x 10-5 nm 8.0 x 10-3 1 OSTS Category Return

Level 13 Question 57 OSTS Answer

Which of the following equations represents exponential growth of compound interest? y = C(1 + r)t A = P(1 + r/n)nt y = C(1-r)t OSTS Answer

Level 14 Answer 58 b. A = P(1 + r/n)nt OSTS Category Return

The formula for the lateral surface area S of a right circular cone is S = πr√(r2 + h2), where r is the radius of the base and h is the altitude. What is the lateral surface area, in square feet, of a right circular cone with base radius 3 feet and altitude 4 feet? f. 3π√5 g. 3π√7 h. 15π j. 21π k. 75π/2 OSTS Answer

Grab Bag Answer 59 h. 15π OSTS Category Return

If xyz ≠ 0, which of the following is equivalent to x2y3z4 (xyz2)2 1/y 1/z Y x/yz xyz OSTS Answer

Grab Bag Answer 60 a. 1/y OSTS Category Return

Using mental math determine if 965,476 is divisible by 2, 3, 4, 5, 6, 9, or 10. OSTS Answer

OSTS Level 7 Answer 61 965,476 is divisible by 2 and 4. Category
Return

OSTS Answer Level 8 Question 62 The square root of 16 is _____. 1 2 3
4 5 OSTS Answer

Level 8 Answer 62 d. 4 OSTS Category Return

Write each of the fractions below as a percent.
Level 9 Question 63 Write each of the fractions below as a percent. 17/ / /25 OSTS Answer

Write each of the fractions below as a percent.
Level 9 Answer 63 Write each of the fractions below as a percent. 17/ / /25 17 x x x 4 20 x x x 25 85/ / /100 85% % % OSTS Category Return

OSTS Answer Level 10 Question 64 Given: 1 mi = 5280 ft 1 gal = 64 oz
1 min = 60 s 1 h = 3600 s 1 h = 60 min Convert the following rate: 180 gal/h = _____oz/min OSTS Answer

OSTS Level 10 Answer 64 Given: 1 mi = 5280 ft 1 gal = 64 oz
1 min = 60 s 1 h = 3600 s 1 h = 60 min Convert the following rate: 180 gal/h = _____oz/min 180 gal x 64 oz x 1 h = 192 oz/min 1 h x 1 gal x 60 min OSTS Category Return

The length of a rectangle is five times the width of the rectangle. If the width of the rectangle is q units, what is the area of the rectangle? 5q units2 5q2 units2 q + 5 units2 5q(q + 5) units2 OSTS Answer

Level 11 Answer 65 The length of a rectangle is five times the width of the rectangle. If the width of the rectangle is q units, what is the area of the rectangle? b. 5q2 units2 5q q Area = length x width A = 5q x q = 5q(1+1) = 5q2 OSTS Category Return

The smallest unit of time is the yoctosecond, which equals second. Write this number in scientific notation. OSTS Answer

Level 12 Answer 66 The smallest unit of time is the yoctosecond, which equals second. Write this number in scientific notation. 1 x s OSTS Category Return

Complete the matrix subtraction problem below.
Level 13 Question 67 Complete the matrix subtraction problem below. OSTS Answer

Level 13 Answer 67 -6 OSTS Category Return

OSTS Answer Level 14 Question 68 A initial value C time n principal
For the exponential equations below for growth, compound interest, and decay, y = C(1 + r)t A = P(1 + r/n)nt y = C(1-r)t match the letters with what they represent. A initial value C time n principal P current value r number of times t rate OSTS Answer

OSTS Level 14 Answer 68 A initial value C time n principal
For the exponential equations below for growth, compound interest, and decay, y = C(1 + r)t A = P(1 + r/n)nt y = C(1-r)t match the letters with what they represent. A initial value C time n principal P current value r number of times t rate OSTS Category Return

The two rectangles in the figure below have the same area. What is a expressed in terms of b? f. 2b/3 g. 3b/2 h. 2/3b j. 3/2b k. b-1 b b + 3 a + 2 a OSTS Answer

Grab Bag Answer 69 f. 2b/3 OSTS Category Return

Which of the following is the solution statement for the inequality -3<4x – 5 ? x >2 x > ½ x < -2 x < ½ x < 2 OSTS Answer

Grab Bag Answer 70 b. x > 1/2 OSTS Category Return

Used for Educational Purposes Only.
Credits Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., More- Harris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 1. Columbus, OH: Glencoe/McGraw-Hill. Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., More-Harris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 2. Columbus, OH: Glencoe/McGraw-Hill. Bailey, R., Day, R., Frey, P., Howard, A., Hutchens, D., McClain, K., More-Harris, B., Ott, J., Pelfrey, R., Price, J., Vielhaber, K., and Willard, T. (2006). Mathematics: Applications and Concepts – Course 3. Columbus, OH: Glencoe/McGraw-Hill. Boyd, C., Cummins,J., Malloy, C., Carter, J., Flores, A., Hovespian, V., and Zike, D. (2008). Geometry. Columbus, OH: Glencoe/McGraw-Hill. Fennell, F., Ferrini-Mundy, J., Ginsburg, H., Greenes, C., Murphy, S., and Tate, W. (1998). Mathematics. Parisppany, NJ: Silver Burdett Ginn, Inc. Holliday, B., Cuevas, G., Luchin, B., Carter, J., Marks, D., Day, R., Casey, R., Hayek, L., Malloy, C., Hovesepian, V., and Zike, D. (2008) Algebra 1. Columbus, OH: Glencoe/McGraw-Hill. Holliday, B., Cuevas, G., Luchin, B., Carter, J., Marks, D., Day, R., Casey, R., Hayek, L., Malloy, C., Hovesepian, V., and Zike, D. (2008) Algebra 2. Columbus, OH: Glencoe/McGraw-Hill. Texas Instruments. (2010). Educational Technlogy – TI-Nspire. Student Trial Downloaded December 30, from . Questions and Answers were either taken directly from these sources or modified for inclusion into this learning activity and added to the authors own questions. Used for Educational Purposes Only. OSTS

Ludus for Mathematics – Classroom 1

Similar presentations

Presentation on theme: "Ludus for Mathematics – Classroom 1"— Presentation transcript:

Similar presentations

About project

Feedback

Log in

Auth with social network:

Ludus for Mathematics – Classroom 1

Similar presentations

Presentation on theme: "Ludus for Mathematics – Classroom 1"— Presentation transcript:

Similar presentations

About project

Feedback