Math Review

L Rice Winter 2011

Identifies, models, reads, and writes numbers using numerals, words, and expandednotation from hundredths place through one-hundred thousands place

• Prime Factor Game• Really Big Numbers • Mystery Picture (reading large numbers)• Place Value Pirates

Classroom FunWhat’s My Number?

• How many ways can you write these numbers:• 1,034• 56,789• 2,408• 3,579• 30,842• 197,430

• You can use a number line, cubes, hundreds chart or base 10 blocks to help you figure your answers.

Practice Problem

• Which shows 23,072 written in expanded notation?

• A. 20,000 + 3,000 + 72• B. 23,000 + 70 + 2 • C. 20,000 + 3,000 + 70 + 2• D. 20 + 30 + 70 + 2

Numbers can be added or multiplied in any order resulting with the same answer (commutative).When 0 is added to another number it doesn’t change the value of the number (identity for addition).

When a number is multiplied by 1 it doesn’t change the value of the number (identity formultiplication).When a series of numbers is added or multiplied, the order in which the values are

added or multiplied doesn’t affect the result (associative).Instructional Example Student

• Cone Crazy Game• Times Table Test (How fast are you?)• Missing Digit• Multiplication Jeopardy• Number Cop• Properties of Multiplication Basketball

Classroom Fun

1. 9 X 3 = 3 X w2. 3 X (4 X 2 ) = (n X 4) X 23. 234 X 1 = z4. 56 X p = 11 X 565. 375 X c = 06. q X 8 = 8 X 47. 5 X (7 X 2) = (5 X 7) X n8. 4 X 509 = (4 X 500) + (4 X m)9. 6 X 310 = (6 X n) + (6 X 10)

10. (2 X z) X 5 = 2 X (8 X 5)11. q X 2,567 = 2,56712. 12. 195 X 5 = (200 X 5) – (5 X t)13. z X 75,879,705 = 014. 98,765 X d = 98,76515. 5 X 9 = r X 516. s X 205 = (5 X 200) + (5 X 5)17. 4 X (p X 7) = (4 X 1) X 718. 758,375,937 X 0 = b

Rewrite each equation with the correct answer and draw a picture to show what is happening.

You can use a number line, cubes, hundreds chart or base 10 blocks to help you figure your answers.

Practice Problem• The figure shown below represents a number

sentence.• Which number sentence BEST describes this

figure?• A. 3 x 3 = 3 x 3• B. 3 x 4 = 4 x 3• C. 4 x 4 = 4 x 4• D. 5 x 2 = 2 x 5

Shows the relationship between these operations with the basic fact families (additionfacts with sums from 0 through 20 and corresponding subtraction facts, multiplication facts from 1 x 1

through 12 x 12 and corresponding division facts) including the use of mathematical models: a)addition and subtraction; b) addition and multiplication; c) multiplication and division; d) subtraction

and division

• Addition/Subtraction Fact Family Game• Multiplication/Division Fact Family Game

Classroom FunMake fact families with these numbers:

2, 4, 8 6, 7, 42 2, 5, 10 3, 5, 15 3, 6, 18 7, 8, 15 3, 9, 27 6, 8, 14 0, 6, 6

You can use a number line, cubes, hundreds chart or base 10 blocks to help you figure your answers.

Practice Problem

• Which number sentence comes from the same fact family as 17-5=12?

• A. 5 + 17 = 12• B. 12 + 5 = 17• C. 17 – 6 = 11• D. 12 – 17 = 5

You can use a number line, cubes, hundreds chart or base 10 blocks to help you figure your answers.

Solves one-step equations using whole numbers with one variable and a whole numbersolution that: a) find the unknown in a multiplication or division equation based on the multiplication

facts from 1 x 1 through 12 x 12 and corresponding division facts;b) find the unknown in a money equation using multiplication and division based upon the facts andaddition and subtraction with values through $10; c) find the unknown in a time equation involving

whole minutes, hours, days, and weeks with values through 200

• Math Hoops• Math Thinkquest

Classroom Fun

• Thinking Blocks Model (like Singapore Math)

• Math Playground Practice Problems

Practice Problem

• The equation below can be used to find the number of nickels (y) in $2.

• y nickels = $2• What is the value of y?• A. 4 nickels• B. 8 nickels• C. 20 nickels• D. 40 nickelsYou can use a number line, cubes, hundreds chart, base 10 blocks or money

to help you figure your answers.

Finds the values, determines the rule, and states the rule using symbolic notation withone operation of whole numbers from 0 through 200 using a horizontal or vertical function table

(input/output machine, T-table)

• Cyberchase• Function Machine Game• Building with Functions

Classroom Fun

• Magic Pot Template• Guess My Game Lesson

Practice Problem

• An input/output table is shown below.• Which rule is used in the table?• A. output=input X 4• B. output=input X 5• C. output=input / 4• D. output=input / 5

Input Output16 424 620 528 7

You can use a number line, cubes, hundreds chart, or base 10 blocks to help you figure your answers.

Selects, explains the selection of, and uses measurement tools, units of measure, anddegree of accuracy appropriate for a given situation to measure: a) length, width, and height to thenearest fourth of an inch or to the nearest centimeter; b) volume to the nearest cup, pint, quart, or

gallon; to the nearest liter; or to the nearest whole unit of a nonstandard unit; c) weight to the nearestounce or pound or to the nearest whole unit of a nonstandard unit of measure; d) temperature to the

nearest degree; e) time including elapsed time

• Clocks and Time• Standard Scale• The Ruler Game• Change Challenge• Cyberchase• Equivalent Measure Match• Soda Jerk

Classroom Fun

• Size Estimation Quiz• What is an inch? Foot? Cm? M?• How much in a cup? Pint? Quart? Gallon? Liter?• What weighs an ounce? Pound?• How many seconds and minutes in an hour?• How many days in a week? Month?• Freezing point? Hot day? Boiling Point?

Practice Problem

• Sean is weighing his pencil. Which measurement tool should Sean use?

• A. measuring cup• B. ruler• C. scale• D. thermometer

You can use a number line, cubes, hundreds chart, rulers, meter sticks, protractors, compass, base 10 (ten) blocks, clock or clock face, or geometric solids to help you figure your answers.

Recognizes, performs, and describes one transformation (reflection/flip, rotation/turn,translation/slide) on a two-dimensional figure or concrete object.

• Flip, Slide, Turn Vocabulary Videos• Wrapping Paper Pattern• Reflection, Translation, Rotation Interactive• Drawing with Rotations (Turns)• Drawing with Reflections (Flips)• Drawing with Translations (Slides)• Spy Guys Movie

TRANSLATION/SLIDE SYMMETRY of an ELLIPSE

REFLECTION/FLIP SYMMETRY of a RHOMBUS

Classroom FunUse blocks to show these transformations.

ROTATION/TURN SYMMETRY of a HEXAGON

Practice Problem• The letter B and a line are shown.• Which statement describes the letter B • after a reflection over the line is performed?• A. The flat side of the B will be on the top.• B. The B will move to the other side of the line but

look the same.• C. The B will move to the other side of the line and

the flat side will be on the right.• D. The flat side of the B will be on the bottom.

You can use cubes, pattern blocks, clock or clock face, or geometric solids to help you figure your answers.

Identifies and plots points as whole number ordered pairs in the first quadrant of acoordinate plane (coordinate grid)

• What’s The Point• Locate the Aliens• Stock the Shelves• Maze Game

Classroom Fun

• Printable Grid Games

Practice Problem

• What are the coordinates of point L?• A. (5, 5)• B. (5, 6)• C. (4, 6)• D. (6, 4)

You can use cubes, pattern blocks, graph paper, or geometric solids to help you figure your answers.

Organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative)data in a clear, organized, and accurate manner including a title, labels, categories, and whole

number intervals using these data displays: b) pictographs with a symbol or picture representing one,two, five, ten, twenty-five, or one-hundred including partial symbols when the symbol represents an

even amount; c) frequency tables (tally marks); d) horizontal and vertical bar graphs; e) Venndiagrams or other pictorial displays; f) line plots; g) charts and tables; h) line graphs; i) circle graphs.

• Bar Graph Game• Make Your Own Graph• Data Picking

Classroom Fun

• State Names Data Lesson• Graph the Toy – Students need graph paper so they can graph how

many of each type of toy are in the cereal boxes. Click on NEXT BOX to get more boxes.

– Graph Maker

= 5 students

Practice Problem• The table below shows the favorite sports

chosen by 60 students at a school.• According to the table, how many MORE

students chose swimming than soccer?• A. 1 student• B. 5 students• C. 15 students• D. 20 students

Favorite Sports

Bike Riding

Baseball

Soccer

Swimming

Solves one- and two-step real-world problems with one or two operations using thesecomputational procedures: a) adds and subtracts whole numbers from 0 through 10,000 and whenused as monetary amounts; b) multiplies through a two-digit whole number by a two-digit whole

number; c) multiplies whole dollar monetary amounts (up through three-digit) by a one- or two-digitwhole number; d) multiplies monetary amounts less than $100 by whole numbers less than ten; e)

figures correct change through $20.00

• Computation Castle• Lunch Lady• Math at the Mall• Shopping Games

Classroom Fun

• Work the following problems and explain how you got your answers.

You can use a number line, cubes, hundreds chart, base 10 blocks or money to help you figure your answers.

Mr. Turner distributed some supplies in his office. He distributed 120 pencils, 300 paper clips, and 16 pens. What is the greatest number of people there can be in the office if each person received the same number of items?

The baseball league bought new equipment for the teams. The managers bought 288 baseballs, 40 bats, and 24 equipment bags. How many teams are there if all the new equipment is distributed equally among the teams?

Gleamy-Tooth toothpaste comes in 2 sizes: 9 oz for $0.89 and 12 oz for $1.19.a) What is the LCM of 9 and 12?

b) If you bought that much toothpaste in 9-oz tubes, how much would it cost?

c) If you bought that much toothpaste in 12-oz tubes, how much would it cost?

d) Which tube gives you more Gleamy-Tooth for the money?

A machine at a local factory has 3 gears. One gear must be replaced every 3 months, another every 5 months, and the third every 6 months. All of the gears were just replaced. How long will it be before all 3 gears will need to be replaced at the same time again?

There were 11 days of rain one month in Boston. Of the remaining days, two-fifths were sunny, one-fourth were cloudy, and it snowed on the other 7 days. How many days were in the month?

Chris’s aunt is giving him a birthday party. She wants to give the same number of balloons, puzzles, and baseball cards to Chris and each guest. Balloons come in packages of 10, puzzles in packs of 8, and baseball cards in packs of 5. There are 7 guests.

1. How many packages of each item should Chris’s aunt buy so that no items are left over?

2. How many of each item will each child receive?

Practice Problem• A school is buying 34 new desks for one of its

classrooms. The cost of each desk is $286. What is the TOTAL cost of all 34 desks?

• A. $2,002• B. $6,204• C. $8,410• D. $9,724

You can use a number line, cubes, hundreds chart, base 10 blocks or money to help you figure your answers.

Represents and describes mathematical relationships between whole numbers from 0through 1,000 using concrete objects, pictures, written descriptions, symbols, equations, tables, and

graphs.

Classroom Fun• Roll 2 or 3 dice and show as many ways as you

can think of to represent these numbers. Don’t forget: objects, pictures, words, tables, graphs, number equations, etc.

six

Half dozen

Practice Problem• Jacob and Eric each had $30 to spend on school

lunches. Jacob spent an equal amount of money each day, and spent all $30 in 5 days. Eric also spent an equal amount of money each day, but spent all $30 in 3 days. Which pair of number sentences does NOT show how Jacob and Eric spent their money?

• A. 30/15 = 2 and 30/10 = 3• B.5 X 6 = 30 and 3 X 10 = 30• C. 30/5 = 6 and 30/3 = 10• D. 6 + 6 + 6 + 6 + 6 = 30 and 10 + 10 + 10 = 30

You can use a number line, cubes, hundreds chart, base 10 blocks or money to help you figure your answers.

Identifies the plane figures (circles, squares, rectangles, triangles, ellipses, rhombi,octagons, hexagons, pentagons, trapezoids) used to form a composite figure

• Geometry Games• What’s That Name 2D and 3D Shapes• Geoboard• 3D Geoboard• Pattern Blocks

Classroom FunName all of these shapes. Use them to create a picture. You can use pattern

blocks. Make a table to show the shapes you used.

Practice Problem

• A figure is shown.• Which plane shapes were used • to form this figure?• A. octagon, two squares, two triangles• B. hexagon, two triangles, two squares• C. pentagon, two squares, two triangles• D. trapezoid, two triangles, two squares

You can use graph paper, pattern blocks, color tiles, cubes, or geometric solids to help you figure your answers.

Estimates to check whether or not measurements and calculations for length, width,weight, volume, temperature, time, and perimeter in real-world problems are reasonable

• Weigh the Wangdoodles• Length, Weight, Capacity• Measurement Matching Game• How much is it?• Which holds the most?• Read The Thermometer

Classroom FunName something in the classroom that would equal this

measurement…

1 FOOT1 INCH

5 POUNDS

8 FLUID OUNCES

16 OUNCES60 SECONDS

Practice Problem

• A movie starts at 11:05 a.m. and ends at 1:15 p.m. Which is the most reasonable ESTIMATE of the running time of the movie?

• A. one hour• B. two hours• C. three hours• D. four hours

You can use graph paper, pattern blocks, color tiles, cubes, clocks, rulers or geometric solids to help you figure your answers.

Uses these statistical measures of a data set using whole numbers from 0 through1,000 with less than ten whole number data points to make reasonable inferences and predictions,

answer questions, and make decisions: a) minimum and maximum values; b) range; c) mode; d)median when the data set has an odd number of data points; e) mean when the data set has a whole

number mean

• Landmark Shark Game• Jupiter is Average• Mean, Median, Mode Game• Train Race

Classroom Fun

• Roll the dice and see what numbers you get. There will be a chart of 10 rolls. Find the range, median, mean, mode. Remember to CLEAR TALLY before rolling again for new data.

Practice Problem

• The data set below shows the number of yards a football player kicked a football on seven kicks.

• 36 11 62 53 49 36 56 • What is the RANGE of the data set?• A. 20• B. 51• C. 56• D. 62

You can use a number line, cubes, hundreds chart, base 10 blocks or money to help you figure your answers.

More Helpful Review

• http://hoodamath.com/tutorials/ general movies and tutorials

• http://mathplayground.com/mathvideos.html videos

• Johnny’s Math Games• Create Virtual Dice