Math Curse by Scieszka & Smith. Can You Count to a GOOGOL? by Robert Wells
. Books to Read. Key Vocabulary. Area: The number of square units needed to.
Dear Family, Today my class started Chapter 1: Number Sense, Algebra, and Functions.. I will be learning to find the prime factorization of a composite Functions number, to find the value of expressions, to solve equations, and to solve problems using the guess-and-check strategy. I will also use powers and exponents in expressions, complete function tables, and learn to find the area of squares and rectangles. Here are my vocabulary words and an activity that we can do together. Sincerely, ________________
Key Vocabulary Area: The number of square units needed to cover the inside of a region or plane figure. Evaluate: To find the value of an expression. Function: A relationship that assigns exactly one output value to one input value. Variable: A symbol, usually a letter, used to represent an unknown quantity.
Activity
me in your ho ts c je b o e r in Find thre rectangula r o e r a u q that are s r tape g a ruler o in s U . and e p a sh the length e r u s a e m , rite measure ct. Then w je b o h c a e se to find width of u ld u o w u yo the formula ctangle or e r e th f o rea. the area e for the a lv o s n e h T square.
Books to Read The Grapes of Math by Greg Tang Math Curse by Scieszka & Smith Can You Count to a GOOGOL? by Robert Wells
Grade 5
4
Chapter 1
Dear Family, Today my class started Chapter 2: Statistics and Data Analysis. I will learn how to Display and analyze data using bar graphs, line graphs, histograms, and line plots. I will also learn to find and interpret the mean, median, mode, and range of a set of data. Additionally, I will learn to represent integers on a number line and solve problems by making a table. Here are my vocabulary words and an activity that we can do together. Sincerely, ________________
Key Vocabulary Frequency: The number of times a result occurs or something happens during the collection of data. Graph: A more visual way to display data Integers: Whole numbers and their opposites, including zero Mean: The quotient found by adding the numbers in a set of data and dividing this sum by the number of addends.
Activity
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Books to Read Tiger Math, Learning to Graph from a Baby Tiger by Nagda and Bickel The M & M’s Counting Book by Barbara McGrath Math Curse by Scieszka & Smith Grade 5
4
Chapter 2
Dear Family, Today my class started Chapter 3: Adding and Subtracting Decimals. I will learn how to represent decimals on a number line, add and subtract decimals, and estimate sums and differences of decimals. I will also be learning to compare, order, and round whole numbers and decimals. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary Equivalent decimals: Decimals that name the same number Clustering: Estimating a sum in which all the addends are close to the same number Front-end estimation: An estimation method in which the digits on the left are added or subtracted first, and then the digits in the next place-value position are added or subtracted
Activity
a ment from e s ti r e v d a g Find an e a shoppin k a M t. e k r d in superma e items liste th to g in d r g list acco t. Then usin n e m e s ti r e ls, the adv ing decima d d a f o ls il st to your sk s on your li m e it e th ost. add up ey would c th h c u m w see ho
Books to Read Once Upon a Dime: A Math Adventure by Nancy Kelly Allen Anno’s Math Games II by Mitsumasa Anno Marvelous Math: A Book of Poems by Lee Bennett Hopkins Grade 5
4
Chapter 3
Dear Family, Today my class started Chapter 4: Fractions and Decimals. I will be learning to find the greatest common factor of two or more numbers. I will learn to simplify fractions, to write fractions as decimals, and write decimals as fractions. I will also learn about the coordinate plane and how to determine ordered pairs and functions. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary equivalent fractions: Fractions that represent the same number. Example: 9 (_43 = _86 = __ 12).
Activity
greatest common factor: The largest number that divides evenly into two or more numbers. Example: The greatest common factor of 12, 18, and 30 is 6. least common multiple: The smallest whole number greater than 0 that is a common multiple of each of two or more numbers. Example: The LCM of 2 and 3 is 6. mixed number: The sum of a whole number
and a fraction.
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simplest form: A fraction in which the
numerator and the denominator have no 5 common factor greater than 1. Example: __ 12 is in simplest form because 5 and 12 have no common factor greater than 1.
Books to Read Fraction Fun: by David Adler The Doorbell Rang: by Pat Hutchins Gator Pie: by Louise Mathews
Grade 5
4
Chapter 4
Dear Family, Today my class started Chapter 5: Adding and Subtracting Fractions. I will be learning to add and subtract fractions. I will also be learning to round fractions and mixed numbers. Here are my vocabulary words and an activity that we can do together.
Sincerely, ______________________
Key Vocabulary Like fractions: Fractions that have the same 1 2 denominator. Example: _ and _ . 5 5 Unlike fractions: Fractions with different 1 2 denominators. Example: _ and _. 5 3 Simplest form: A fraction in which the numerator and the denominator have no common factor great 5 than 1. Example: _ is in simplest for because 5 and 12 12 have no common factor greater than 1.
Numerator: The number above the bar in a fraction; the part of the fraction that tells how many of the 2 equal parts are being used. Example: _, 2 is the 4 numerator.
g to s accordin le b r a g m t Sor tions, usin c a fr te a rs color. Cre arble colo m t n e r the diffe of the ent parts s e r p e r les. to t of marb n u o m a middle whole ie in the p a z iz p per Draw a poster pa f o e c ie of a p to the ur pie in o y e id iv and d for each marbles f o r er e b num ing togeth d d a e c ti c color. Pra tions. ts of frac e s t n e r diffe
Denominator: The bottom number in a fraction. 5 Example: _, 6 is the denominator. 6
Books to Read Polar Bear Math, Learning About Fractions by Nagda and Bickel The Doorbell Rang by Pat Hutchins Gator Pie by Louise Mathews Grade 5
4
Chapter 5
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Fraction: A number that represents part of a 3 1 1 1 whole or part of a set. Example: _, _, _, and _ are 4 2 3 4 fractions.
Activity
Dear Family, Today my class started Chapter 6: Multiplying and Dividing Decimals and Fractions. I will be learning to multiply and divide decimals and fractions. I will also be learning to multiply and divide mixed numbers. Here are my vocabulary words and an activity that we can do together. Sincerely, _________________________
Key Vocabulary Compatible numbers: Numbers in a problem or related numbers that are easy to work with mentally. Example: 720 and 90 are compatible numbers for division because 72 ÷ 9 = 8. Reciprocals: Two numbers whose product is 1. 3 5 Example: The reciprocal of _ is _. 5 3 Scientific notation: Expressing a number as the product of two factors where the first factor is at least 1 but less than 10 and the second factor is a power of 10. Example: 786 = 7.86 × 10 2 Factor: A number that divides into a whole number evenly. Also a number that is multiplied by another number.
Activity
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Quotient: The solution to a division problem. Example: In the problem 8 ÷ 2 = 4, 4 is the quotient. Power: A number expressed using exponents. Example: 3 2 Numerator: The number above the bar in a fraction; the part of the fraction that tells how many of the equal parts are being used. 2 Example: _, 2 is the numerator. 4 Denominator: The bottom number in a fraction. 5 Example: _, 6 is the 6 denominator.
Grade 5
Books to Read Math Man: by Teri Daniels The Phantom Tollbooth: by Norton Juster Gator Pie: by Louise Mathews
4
Chapter 6
Dear Family, Today my class started Chapter 7: Algebra: Integers and Equations. I will be learning to add, subtract, multiply, or divide integers to solve problems and justify solutions. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary Coefficient: The number by which x is multiplied. Example: In 3x, 3 is the coefficient. Inverse operation: Operations that undo each other. Example: Addition and subtraction are inverse or opposite operations. Quadrants: One of four sections of a coordinate graph formed by two axes. Zero pair: A pair of counters that includes one positive counter and one negative counter. Opposites: Numbers that are the same distance from zero in opposite directions.
Activity
ake paper to m n o ti c u tr s n Use co s 2, 3, -3, r e g te in e th cards with em in -1. Put th d n a , y 9 , 5, -2 t activity b a e p e R . r e d number or h new inte it w s d r a c w m in making ne putting the n e th d n a gers, der. number or
Ordered pair: A pair of numbers that are the coordinates of a point in a coordinate plane or grid in this order (horizontal coordinate, vertical coordinate). Example: (4, 0). Equation: A mathematical sentence that contains an equal sign, =, indicating that the left side of the equal sign has the same value as the right side.
Books to Read Splash by Ann Jonas A Grain of Rice by Helena Clare Pittman On Beyond A Million by David Schwartz
Grade 5
4
Chapter 7
Dear Family, Today my class started Chapter 8: Algebra: Ratios and Functions. I will be learning to solve problems involving linear relationships. I will also be learning to use letters to represent an unknown in an equation. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary Ratio: A comparison of two quantities by division. Ratios also compare parts to the whole. Equivalent ratios: Ratios that can be represented by equivalent fractions. Example 3:5 and 12:20. Rate: A ratio of two measurements or amounts with different kinds of units. Unit rate: The rate for one unit of a given quantity. Scaling: Multiplying or dividing two related quantities by the same number. Sequence: A list of numbers in a specific order.
Activity
le. ds on a tab r a c g in y la e Place 8 p e some fac r a e r e th e s. Make sur mber card u n e m o s cards and nt of face u o m a e th ber Compare unt of num o m a e th and cards to ord more w e th g in cards us es. Then, m ti d r o w the ber then using unt of num o m a e th e compar ber of face m u n e th d cards to ord less an w e th g in s cards u a fraction.
Books to Read 100th Day Worries by Margery Cuyler Hannah’s Collections by Marthe Jocelyn Math Curse by Scieszka & Smith
Grade 5
4
Chapter 8
Name
Date
Dear Family, Percent. I will be learning to Today my class started Chapter 9: Percent express percents as fractions and decimals, and express fractions and decimals as percents. I will sketch and analyze circle graphs, and I will learn how to estimate and find the percent of a number. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary Percent: A special ratio that compares a number to 100 using the symbol %. The word percent means hundredths or out of 100. Example: 60% means 60 out of 100. Probability: A number between 0 and 1 that measures the likelihood of an event happening. Sample space: The set of all possible outcomes in a probability experiment.
le. Fill one b ta a n o s jar , 10 Place two f 100 coins o l ta to a h h jar wit ther jar wit o e th l il F . s ing being dime oins, 20 be c 0 0 1 f o l a tota the higher s a h r ja h ic e dimes. Wh ? Repeat th s e im d f o percentage percentage e th g in g n activity cha time. ach of dimes e
Circle graph: A graph in the shape of a circle in which data are represented by parts of a circle. In the shape of the circle these parts look like pieces of a pie. Also called a pie graph or a pie chart. Outcome: A possible result of an experiment. Simple event: One outcome or a collection of outcomes. Random: Equally likely to occur. Survey: A method of collecting data. Population: The group being studied in a survey. Grade 5
Books to Read Piece Part-Portion by Scott Gifford How Many Feet? How Many Tails? by Marilyn Burns Hannah’s Collections by Marthe Jocelyn
4
Chapter 9
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Tree diagram: A diagram of all the possible outcomes of an event or series of events or experiments.
Activity
Dear Family, Today my class started Chapter 10: Geometry: Angles and Polygons. I will be learning to measure angles. I will also be learning to estimate and draw angles. Additionally, I will identify and measure parallel and perpendicular lines, learn to identify and classify triangles, identify angle relationships of quadrilaterals, and draw two-dimensional views of three-dimensional figures. Here are my vocabulary words and an activity that we can do together. Sincerely, ______________________
Key Vocabulary
Activity
Angle: Two rays with a common endpoint Quadrilateral: A shape that has 4 sides and 4 angles. Examples: square, rectangle, parallelogram Parallel lines: Lines that are the same distance apart. Parallel lines do not meet.
ut of cono s le g n ia s tr Cut variou protractor a e s U . r e p a ach struction p angles of e e th e r u s s a to me ngle with it a h c a e l e b ent. triangle. La measurem g in d n o p s corre Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Perpendicular lines: Lines that meet or cross each other to form right angles Rectangle: A quadrilateral with four right angles; opposite sides are equal and parallel Three-dimensional figure: A figure that has length, width, and height
Books to Read Changes by Marjorie N. Allen The Greedy Triangle by Marilyn Burns The Patchwork Quilt by Valerie Flournoy
Grade 5
4
Chapter 10
Name
Date
Dear Family, Today my class started Chapter 11: Measurement: Perimeter, Area, and Volume. I will be learning to find the perimeters of squares and rectangles. I will also be learning to find the areas of parallelograms and triangles. And I will learn about surface area and volume of three-dimensional figures. Here are my vocabulary words and an activity that we can do together.
Sincerely, ______________________
Key Vocabulary Area: The number of square units needed to cover the inside of a region or plane figure. Base: The side on which a plane figure, shape, or three-dimensional solid sits. Cubic units: A unit for measuring volume, such as a cubic inch or a cubic centimeter. Height: The length of a perpendicular from a vertex to the base of the perpendicular, or to the opposite side of the triangle.
ut aper to c p n o ti c u tr nt Use cons of differe s le g n ta sure out 4 rec r to mea le u r a e ntisizes. Us idth in ce w d n a th ngle the leng ach recta e l e b a L eight meters. onding h p s e r r o c a and with its d the are in F . th id and w ctangle. f each re o r te e perim
Perimeter: The distance around a shape or region. Rectangular prism: A three-dimensional figure with six faces that are rectangles. Volume: The number of cubic units needed to fill a three-dimensional figure or solid figure.
Books to Read
Pigs Will Be Pigs by Amy Axelrod Mr. Archimedes’ Bath by Pamela Allen The Tangram Magician by Ernst & Ernst
Grade 5
4
Chapter 11
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Net: A flat pattern that can be folded to make a three a three-dimensional figure.
Activity
