Document Sample

Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Qtr- Benchmark/ Lesson Makeup Assessment Materials/ Week Indicator Technology 1st Pre-Test 1 1st Number, Number Adding and subtracting whole numbers Puzzle pages A+ Grade 7 Math: 2 Sense and Estimating sums and differences Visual Aides Properties/ include Operations: Multiplying and dividing whole numbers Place value games various worksheets Represent and Flash Cards- addition, from computer-based compare numbers Have students write their vertical subtraction, multiplication, activities less than 0 through multiplication problem on a large grid, one division familiar digit per grid square, to help them keep their 5x’s each on given applications and computations and regrouping in proper Quiz Multiplication and extending the alignment. Division number/ number line. Board Work: continue for the How many people live in your town? How Have each student go to the duration of the year many people live in a nearby town? Record board and demonstrate and until the student has your data in a place-value chart. Which has a articulate knowledge with a mastered facts to greater population? Add to find the total given problem. Continue twelve population. Then round your answer. Use a throughout the year. One minute test every map to report your findings in class. Friday Vocabulary: Digit, place value, addend, sum difference, factor, product, base, power, divisor, dividend, quotient, remainder, polygon, perimeter Page 1 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE 1st Number, Number Estimating products and quotients Ability to classify A+ Grade 7 Math: 3 Sense and Arithmetic and algebra expressions Expression and Operations: Representing numbers using letters as algebraic or numeric and equations Represent and Replacing variables identify variables compare numbers Review use of calculator less than 0 through Evaluate expressions using a familiar calculator applications and The sports pages of most newspapers provide extending the an abundant supply of scores that students can Quiz number line. use to create equations and expressions. Students can pose questions such as “How many runs did the National League and the Vocabulary: American League score in one day?” Students Estimate, variable, variable can work in small groups to generate expression, terms, constant, sentences such as “NL Runs + AL Runs = coefficient, like terms, Total runs per day.” Have students replace simplify a variable one of the values in their sentence with a expression, combine like terms, substitute, evaluate a variable and challenge another group to solve variable expression, volume the resulting equation. 1st Number, Number Order of operations- explore different Develop various real life Scientific and non- 4 Sense and calculators scenarios introducing scientific calculators Operations: Use Evaluating algebraic expressions algebraic reasoning order of operations Equations- Solution by substitution A+ Grade 7 Math: including use of Solving addition equation equations Quiz Order of operations, Page 2 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE parenthesis and Distributive property, exponents to solve Sometimes it is easier to remember rules by Vocabulary: properties, number multi-step remembering certain phrases. To help Number expression, operations, like terms problems, and students remember the rules for order of parenthesis, simplify, verify and interpret operations, have them remember “Please equivalent, number the results excuse my dear Aunt Sally.” The p from equation, property, please stands for “simplify the parentheses.” communitive, associative, The e from excuse stands for “evaluating the identity, zero, distributive, exponents or powers.” The m from my and the division properties, area d from dear stand for “doing multiplication and division from left to right.” And the a from Aunt and s from Sally stand for “doing Write the following phrases addition and subtraction from left to right.” on the chalkboard and have students use them to write word problems involving multiplication and division. Have partners exchange problems and then write the appropriate equation to solve. multiplied by same amount twice as often half as many Page 3 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE cost the same amount separated into equal groups fives times as much shared equally same amount each week earns the same amount cost per item divided by equal amount gave each friend the same number 1st Number, Number Using formulas Place value chart A+ Grade 7 Math: 5 Sense and Review Decimal number Operations: Decimals and place value Quiz concept Compare, order and Comparing and rounding decimals covert among Vocabulary: fractions, decimals Use place-value charts to help students line up Decimal, decimal point, and percents the digits, not only when they are comparing scientific notation Page 4 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE and ordering decimal numbers, but also when they are adding and subtracting decimals. Make a sheet of charts with spaces for thousands through hundredths and a special space for decimal points. 1st Number, Number Adding and subtracting decimals- calculator Demonstrate accuracy on A+ Grade 7 Math: 6 Sense and Multiplying decimals by powers of ten calculator and on paper Decimal Number Operations: Multiplying decimals- decimal point Concepts, Decimal Compare, order and placement Show understanding of Number operations covert among Dividing decimals by powers of ten simulated checkbook (paper) fractions, decimals Dividing decimals and computer-checkbook and percents program On the chalkboard, have a student highlight the decimal places in the factors of a Vocabulary: multiplication exercise, as in the example Decimal, decimal point, below. Have another student place the scientific notation decimal point and highlight the decimal places in the product. Some students may need to be reminded to count digits to the right of decimal points when they count decimal places. 1st Number, Number Decimals and fractions Vocabulary: A+ Grade 7 Math: 7 Sense and Repeating decimals Decimal, decimal point, Decimal Number Operations: Renaming percents to decimals scientific notation Operations, Problem Compare, order and Evaluating expressions with decimals solving 2 covert among A good activity for fractions, decimals Many students have difficulty aligning digits, reinforcing the relationships and percents especially when finding the quotient in a between fractions, percents, Page 5 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE division exercise. Have students complete and decimals is to have some exercises by using graph paper, placing students complete an each digit in a square. This method will help equivalency chart. This chart them keep everything aligned appropriately. could include common fractions and percents. A four-column chart that provides space for a 10-by- 10 grid picture will help students visualize the meaning and size of the numbers. Students can keep the chart in their notebooks for future reference. 1st Number, Number Divisibility rules Completion of classroom A+ Grade 7 Math: 8 Sense and Prime and composite numbers charts Exponents and Operations: Apply Greatest common divisor using variables Factors, Fraction and explain the use Factoring Vocabulary: concepts of prime factors, divisible, common factorizations, Knowing rules for divisibility by 2, 3, 4, 5, 9, factor, greatest common common factors, and 10 can be very helpful in finding the factor and common prime factorization of numbers. Also, create multiples in an understanding for divisibility rules 6, 7, 8, problem situations etc. 1st Number, Number Least common multiple Use scientific notation to A+ Grade 7 Math: 9 Sense and Scientific notation-why & how describe the differences in Fraction concepts Operations: Apply Making conjectures planets’ orbits Page 6 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE and explain the use of prime Demonstrate ability to find LCM and GCD Vocabulary: factorizations, when there are variables involved. Using the factors, divisible, common common factors, two abbreviations correctly factor, greatest common and common factor, multiple, common multiples in multiple, least common problem situations multiple, prime number, composite number, prime factorization Page 7 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Qtr- Benchmark/ Lesson Makeup Assessment Materials/ Week Indicator Technology 2nd Number, Review Vocabulary: A+ Grade 7 Math: 1 Number Proper fractions Fraction, numerator, Like terms, Fraction Sense and Improper fractions denominator, proper concepts Operations: Mixed numbers fraction, improper Use simple Equivalent fractions fraction, mixed number, expressions equivalent fraction involving Guided Practice/ display an understanding through integers to visual aides e.g. pizza party represent and solve Working with fractions can be difficult for students, problems because they may have a hard time relating their understanding of operations with whole numbers to operations with fractions. Students have learned that addition can be thought of as joining two or more groups, or sets, to form a new set. They have also learned to add units of like quantities, such as tens to tens, ones to ones, and so on. Addition of fractions should be an extension of these concepts. So, when students are trying to add and , they will learn that they need to add “like” quantities. To do this, they learn that they need to rewrite the fractions with common denominators or “parts equal in size” when adding or subtracting fractions. Note in the diagram below that = and = . So we can add the number Page 8 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE of twelfths, + , and get . 2nd Fractions in simplest form Vocabulary: A+ Grade 7 Math: 2 Comparing and ordering-calculator assistance Fraction, numerator, Like terms, problem Like and unlike denominators denominator, proper solving fraction, improper Materials: fraction strips with halves, thirds, fourths, fraction, mixed number, sixths, and twelfths equivalent fraction, lowest terms fraction, like Students should recognize that means a unit has been fraction, unlike fraction divided into 9 equal parts and there are five parts. That is, the denominator of a fraction tells you the size of the parts you have and the numerator tells you how many of those equal parts you have. Students should also know that addition can be modeled as the joining of sets and that subtraction can be modeled as the taking away of sets. Page 9 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE 2nd Number, Adding fractions and Subtracting fractions with Vocabulary: A+ Grade 7 Math: 3 Number regrouping Common denominator, Fraction Concepts, Sense and least common Problem solving 1 Operations: denominator Represent Have your students estimate the answer before addition and performing an operation with two fractions. For subtraction example, students might estimate that the sum of + is situations less than one and greater than , since > and + = . involving fractions and Similarly, the product of (2 ) X (1 ) is close to 4, since decimals with both numbers are close to 2. The quotient of ÷ is models and greater than 2, since > and there are 2 fourths in . visual representations 2nd Number, Multiplying fractions and mixed numbers Using hands-on materials, A+ Grade 7 Math: 4 Number Dividing fractions and mixed numbers Mean demonstrate fractions of Sense and Median, Mode, Range, Minimum, Maximum whole numbers Fraction Operations, Operations: Using graph paper, problem solving 2 Represent Help students understand the power of an outlier by illustrate multiplication of multiplication looking at how the mean changes as the high or low two fractions and division numbers in a data set move further from the mean of situations the other numbers in the set. (This example would be Create and use fraction involving simple to program into a spreadsheet.) strips fractions and decimals with Vocabulary: models and Reciprocal of a fraction, visual minimum, maximum, representations range, mean, median, mode, average Page 10 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Data Analysis and Probability: Understand the different information provided by measures of center and measures of spread 2nd Solving subtraction equations Lots of pencil and paper A+ Grade 7 Math: 5 Complex fractions practice, using the Problem solving 3 Using calculators to solve and check fraction problems calculator as an aid Simplifying by addition Calculator Simplifying by subtraction Vocabulary: Reciprocal of a fraction When using reciprocals to divide fractions, students often forget which fraction to invert. Emphasize that the divisor (the second fraction in the expression) is always inverted 2nd Multiplying rational expressions Recipe conversion/ Each A+ Grade 7 Math: 6 Converting measurements Algebra Concepts, student create a recipe and Chapter review eat! Expressions and Equations, Problem Use familiar referents for standard units so that You may wish to challenge solving 6 students will be able to estimate length, weight, and the class by showing the Page 11 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE capacity. For example, a baseball bat is about 1 meter students a diagram like the in length and 1 kilogram in mass. Your pinkie finger is one below. Explain that about 1 centimeter wide. A dime is about 1 millimeter each unit in the metric thick. A football weighs about 1 pound, and a large system is 10 times the size paper clip or thumbtack has a mass of about 1 gram. of the unit to its right. Have students measure the length or width of their When converting a larger hands in centimeters and inches to help them estimate unit to a smaller unit, linear measurements. multiply. Note that the tables include hectometers (hm) and decameters (dam) 2nd Number, Ratios Solving word problems A+ Grade 7 Math: 7 Number Proportions using these skills Probability, Ratio Sense and Ratios and proportions and Proportion, Operations: Percents and fractions Vocabulary: problem solving 4 Develop Percents and decimals Ratio, proportion, percent, meaning for discount Ask a weather percents, An out-of-class activity that is often very helpful to reporter from the including students has them go to the store with their parents and media or a student percents list the prices for 10 or more products. Students then studying greater than solve a proportion to find the unit price of each meteorology to come 100 and less product. to class to discuss than 1 how probability applies to predicting the weather. 2nd Number, Finding the percent of a number “Going shopping” activity/ A+ Grade 7 Math: 8 Number Finding the percent of increase or decrease Field Trip to the mall Percent Concepts, Sense and Formulas and percents Problem solving 5, Page 12 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Operations: Calculating taxes Vocabulary: Develop Unit review Ratio, proportion, percent, meaning for discount, percent percents, Possible description: The number of students increase, percent decrease including participating in after-school sports increased from percents September through November and decreased from greater than November through December. 100 and less than 1 2nd Mid-year review Mid-year exam 9 Page 13 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Qtr- Benchmark/ Lesson Makeup Assessment Materials/ Week Indicator Technology 3rd Number, Number The real number line and integers Illustrate concepts on a number Practice OATs now 1 Sense and Absolute value line through April as Operations: Use a Comparing integers- greater than and less needed. variety of strategies, than Vocabulary: including Even and odd integers Integers, positive integers, A+ Grade 7 Math: proportional Adding positive integers negative integers, opposites, Integers, adding and reasoning, to absolute value, number scale, subtracting Integers, estimate, compute altitudes, Fahrenheit, Celsius Absolute value solve and explain Like many ideas in mathematics that are solutions to abstract or symbolic, it often helps students problems involving to have a visual model to help them integers, fractions, conceptualize the idea. A number line is a decimals and great choice for this topic. percents Mathematical Processes: Use models and pictures to relate concepts of ratio, proportion and percent 3rd Number, Number Adding negative integers Flashcard game using positive, A+ Grade 7 Math: 2 Sense and Subtracting positive and negative integers negative, and absolute value Integers, adding and Operations: Use a Multiplying by positive integers (yes, Around the World for subtracting Integers, Page 14 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE variety of strategies, Multiplying by negative integers seventh graders) Multiplying and including Dividing by positive and negative integers Dividing Integers proportional Vocabulary: reasoning, to Integers, positive integers, estimate, compute Make use of ideas students already know, negative integers, opposites, solve and explain such as multiplication being repeated absolute value, number scale, solutions to addition. This can help them realize that 3 x altitudes, Fahrenheit, Celsius problems involving (-3) = -9, since -3 + (-3) + (-3) = -9 integers, fractions, decimals and Connect the fact that multiplication is percents commutative to help you justify -3 x 4 = -12, since they already know that 4 x (-3) = -12. Give students a positive or negative number and ask them to give you two numbers whose sum, difference, product, or quotient is the given number. For example, given the number -8, it could be the product of -4 and 2. 3rd Number, Number Using positive and negative integers to Elevation map reading skills A+ Grade 7 Math: 3 Sense and compare elevations ( talk to social studies Draw and create problems Integers, adding and Operations: Use teacher about what region they are using exponents subtracting Integers, order of operations studying ) Learn to draw a 3-D figure Multiplying and including use of Exponents-using a calculator Dividing Integers, parenthesis and Multiplying and dividing with exponents Vocabulary: Plane Figures exponents to solve Squares Integers, positive integers, multi-step Cubes negative integers, opposites, problems, and absolute value, number scale, Page 15 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE verify and interpret Weather Project: altitudes, Fahrenheit, Celsius the results Choose two places on a world map or globe that are in different hemispheres. Use the internet or newspaper to follow the weather in each location. Record the temperature in each location for a week. Graph the temperatures on a line graph. Find the average high ad the average low temperature during the week. Report your findings to the class. 3rd Geometry and Square Roots Vocabulary: A+ Grade 7 Math: 4 Spatial Sense: Irrational numbers and square roots Triangle ,Pythagorean Triangles Describe and use Pythagorean theorem theorem, rational number, properties of More about triangles irrational number , Square triangles to solve Root problems involving Hands-on work with Pythagorean theorem angle measures and Chart rational vs. irrational numbers side lengths and right triangles 3rd Measurement: Chapter review Test A+ Grade 7 Math: 5 Convert units of Perimeters of polygons- regular and Memorization and application Plane Figures, length, area, irregular of formulas geometric Concepts volume, mass and Areas of rectangle and squares time within the same measurement system Page 16 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE 3rd Measurement: Use Areas of triangles Quiz A+ Grade 7 Math: 6 problem solving Areas of trapezoids and parallelograms Geometric Concepts techniques and Areas of irregular polygons technology as Volume needed to solve problems involving Creative memory devices for remembering length, weight, formulas perimeter, area, Applying formulas to the appropriate shape volume, time and temperature Measurement: Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed 3rd Measurement: Volumes of cylinders and spheres Problem-solving accuracy A+ Grade 7 Math: 7 Select appropriate Finding room measurements Geometric Concepts, units to measure Circumference and areas of circles Vocabulary: Space Figures, angles, Actual measurements vs. estimates Center, radius, diameter, Geometric circumference, circumference, circle, Measurement surface area, mass The circle is the plane figure that maximizes clockwise. Counter-clockwise, and volume, using the area it contains. Using a long piece of cylinder, cone, cube U.S. customary rope with the two ends tied together, have units; e.g., degrees, students form a long narrow rectangle on square feet, pounds, the floor and count the number of students Page 17 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE and other units as who can stand inside of it. Continue making appropriate rectangles so the measure of the length gets closer to the measure of the width with each new rectangle. The area inside should increase. Now have students form a circle with the rope and stand inside of it. They will see that they have made a shape with a lot of interior space. 3rd Patterns, Review Graphing technique A+ Grade 7 Math: 8 Functions and Graphing equalities Coordinate Graphing Algebra: Graphing inequalities Vocabulary: Graph plots Graph linear Graphing solutions of equalities Graph of a solution, number equations and line, inequality, probability inequalities To turn graphing into a kinesthetic experience, make a set of axes on the school grounds by laying down two perpendicular axes with some tape. Mark off units from -6 to +6 on both axes. Place students on the points (-6, 0), (-5, 0), (0, 0), (6, 0). Whisper to them an algebraic expression such as, “Double your number and add 1.” Then have them walk the appropriate number of steps forward or backward, depending on whether the number they have is positive or negative. Together, the students should form the graph of the equation y = 2x + 1 by doing that. Have the rest of the class try to guess the equation that was graphed. After doing this several times, switch roles and Page 18 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE have other members of the class graph the equation and the other students guess what it is. 3rd Patterns, Graphing solutions of inequalities Graphing technique A+ Grade 7 Math: 9 Functions and The coordinate system –locating points Coordinate Graphing Algebra: Describe, The coordinate system-plotting points Vocabulary: Graph plots extend and Determining the points of a line Graph of a solution, number determine the rules line, inequality, probability for patterns and Look in a newspaper each day for a week to relationships find the days predicted high and low occurring in temperatures. On two separate number numeric patterns, lines, graph the day’s temperature, one for computation, the predicted high and one for the predicted geometry, graphs low temperature. Graph those temperatures and other on the same number lines in a second color. applications Compare predicted temperatures with the actual temperatures. Page 19 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Qtr- Benchmark/ Lesson Makeup Assessment Materials/ Week Indicator Technology 4th Patterns, Graphing lines Written work A+ Grade 7 Math: 1 Functions and The slope of a line Coordinate Graphing Algebra: Formula for the slope of a line Vocabulary: Graph plots Graph linear Slope-intercept form of a line Plane, coordinate plane, equations and Review coordinate axes, horizontal, inequalities vertical, x-axis, y-axis, origin, Place a bean seed on a damp paper towel in ordered pair, graph an a clear plastic cup. Then insert a few ordered pair, graph of an toothpicks into a potato and rest it on the equation, broken-line-graph, top of another cup so half the potato is in slope, rise, run water. Place the cup side by side. Draw a coordinate plane, and plot both plants’ growth as a function of time ( x-axis shows growth, while y-axis shows time in days. Describe the slope of the graph. What does the slope tell you? 4th Data Analysis and Graphing using a sales formula Vocabulary: A+ Grade 7 Math: 2 Probability: More practice with slope- intercept form Plane, coordinate plane, Coordinate Graphing Collect organize, Review coordinate axes, horizontal, Graph plots display and vertical, x-axis, y-axis, origin, interpret data for a ordered pair, graph an specific purpose or ordered pair, graph of an need equation, broken-line-graph, slope, rise, run Page 20 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE 4th Geometry and Angles and angle measure Vocabulary: A+ Grade 7 Math: 3 Spatial Sense: Identifying and classifying angles Complementary angle, triangles ,Geometric Identify and label Complementary and supplementary angles Supplementary angle, Concepts, angle parts and the Angle measures in a triangle Intersect, line of symmetry, Space Figures, regions defined line segment, obtuse angle, Geometric within the plane acute angle, parallel lines, Measurement where the angle As much as possible, make geometry a perpendicular lines, right resides hands-on and “minds-on” learning angle experience. Give students opportunities to draw various angles, triangles, and quadrilaterals and to use protractors and rulers to measure angles and lengths. Also, provide opportunities for students to discuss what they discovered from their work. This will allow you to clarify misconceptions and explain concepts they do not understand. 4th Geometry and Naming triangles Vocabulary: A+ Grade 7 Math: 4 Spatial Sense: Congruent triangles Triangle, polygon, diagonals, Triangles, Geometric Identify and draw Similar triangles Isosceles, Obtuse, Scalene Concepts, three-dimensional Parallelograms Equilateral triangle, ,Right Space Figures, objects from Quadrilaterals and diagonals triangle, parallelogram, Geometric different views (top, Polygons and diagonals quadrilaterals, pentagon, Measurement side, front and hexagon, octagon, decagon, bottom perspective) Create various polygons with labels face, vertex, area, perimeter Apply properties of equality and proportionality to Page 21 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE solve problems involving congruent or similar figures 4th Data Analysis and Drawing, cutting, and pasting tessellations Create a tessellation across a A+ Grade 7 Math: 5 Probability: (When finished with Plato unit)Use fancy page Motion geometry Collect , organize, papers or computer-generated images display and Vocabulary: interpret data for a Point out applications of the ideas whenever rotation, refection, specific purpose or possible. For example, when using the tessellations, transformation, need overhead projector, explain that the image translation placed on the glass is similar to the one seen on the screen. Discuss tile or fabric patterns that show examples of translations or reflections. Point out examples of windows, doors, and fixtures that are congruent to one another. Discuss how the angles in a room are often right angles. Have students find examples of the various figures they are studying in their homes or in school. 4th Data Analysis and Bar graphs, intervals Accurate interpretation A+ Grade 7 Math: 6 Probability: Circle graphs Accurate representation of data Collect , organize, Frequency tables Statistics display and Vocabulary: interpret data for a Graph, circle graph, bar specific purpose or Create a statistics bulletin board in your graph, horizontal axis, need classroom. Have students cut out graphs vertical axis, pictograph, from magazines and newspapers, write a calendar, tally, frequency summary about each graph, and post the table, rotation, refection, Page 22 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE graphs and summaries on the bulletin board. tessellations, transformation, You can have one student present his or her translation graph each day at the start of math class. 4th Data Analysis and Range Quiz: Which graph should be A+ Grade 7 Math: 7 Probability: Stem-Leaf-Plot used and why? statistics Understand the Box-and-whiskers plots different The probability fraction Vocabulary: information The fundamental principle of counting Graph, circle graph, bar provided by graph, horizontal axis, measures of center Using and making graphs vertical axis, pictograph, and measures of calendar, tally, frequency spread Using a representative sample to predict the table, stem-leaf-plot, quartiles, total population produces an estimate, not box-whiskers plots an exact answer. 4th Data Analysis and End of year review “Final” Post-test A+ Grade 7 Math: 8 Probability: Complete all Understand the remaining lessons different information provided by measures of center and measures of spread 4th Return finals A+ Grade 7 Math: 9 Celebrate success Complete all Graph progress remaining lessons Make presentation to upcoming seventh graders Page 23 of 24 2007-08 Virtual Schoolhouse MATHEMATICS SEVENTH GRADE Page 24 of 24 2007-08

DOCUMENT INFO

Shared By:

Categories:

Tags:
adding fractions, Fractions Worksheets, Fraction Worksheets, Subtracting Fractions, equivalent fractions, how to, Adding and Subtracting Fractions, Math Worksheets, Printable worksheets, Mixed Numbers

Stats:

views: | 197 |

posted: | 11/19/2010 |

language: | English |

pages: | 24 |

Description:
Adding Fractions Worksheets Vertical document sample

OTHER DOCS BY sek10993

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.