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Sixth Grade Mathematics Planning Guide Sept Objectives Standards Curriculum Activities Assessments Differentiation 2005 Tips Sept *Memorize first twelve multiples of 9 Number & Fourth and Fifth Rolling on KIPP Video Skills Diagnostic Allow students to look Week *Memorize first twelve multiples of 7 Operations Grade Curriculum (See Assessment at notes when doing *Identify place values to billions Place Value Charts Information) chant, if they need. 1 *Read and write numbers to the billions Have struggling *Order whole numbers students practice additional times for homework. Sept *Memorize the first twelve multiples of 6 Number & Fourth and Fifth Rolling on KIPP Video Skills Diagnostic Have excelling students Week *Memorize first twelve multiples of 3 Operations Grade Curriculum practice writing out *Identify place values of decimals to the Place Value Charts numbers in words right 2 ten thousandths away. *Order decimals Sept *Memorize the first twelve multiples of 4 Number & Fourth and Fifth Rolling on KIPP Video Test #5 (Content Continue to practice Week *Memorize the first twelve multiples of 8 Operations Grade Curriculum Mnemonic for Multiplication Diagnostic—All these concepts with *Memorize the first twelve multiples of 12 topics) struggling students until 3 *Solve multi-digit multiplication problems Long-Division Chant they achieve them. *Solve one-digit divisor problems using They are fundamental long division to the year’s curriculum. Sixth Grade Mathematics Planning Guide Oct Objectives Standards Impact Activities Assessments Differentiation 2005 Curriculum Tips Oct *Recognize numeric and visual patterns State: Chapter 1.1 *Pattern games Quiz: Using manipulatives Week *Describe a numeric and visual pattern in Patterns, Looking for *Pascal’s Triangle Patterns always is a great way to words both in written and oral form Functions, and Patterns and 1.2 identify patterns: both 1 *Extend numeric and visual patterns to Relations Following Rules Project: algebraic and find the next numbers in the sequence Patterns Project geometric. For your *Identify missing numbers or shapes in a Pre-requisites: struggling learners, pattern Multiples and giving them these tactile factors pieces can help them identify changes Future relevance: between terms in a Algebraic sequence with greater expressions ease. Oct *Define an exponent State: Chapter 1.2 *Bacterial experiment Quiz: Make sure to use a Week *Rewrite a number from exponential form Number and Following Rules (exponential growth) Basic Exponents and mnemonic device to to expanded form as a substep to solving Numeration *Analogy—getting dressed in the Order of Operations help students with order 2 it. *Solve an expression where the *Operations, Pre-requisites: morning (what happens if we do it of operations. This exponent is 1,2,3 (i.e. 33) Estimation Multiplication in the wrong order) as a hook often helps auditory *Identify the steps in order of operations Algebra *PEMDAS-Please Excuse My learners. Also keep a *Use order of operations to solve a *Equations and Future relevance: Dear Aunt Sally—as a mnemonic clear visual up all year numerical expression Inequalities Solving algebraic device to help them remember to help all learners *Estimate an answer using order of expressions the steps continually remember operations *Board Races—race to the board their proper order for all in a team to solve an order of expressions. operations problem step-by-step. Team to finish first and correctly solve wins. Oct *Relate basic mathematical processes to State: Chapter 1.3 Memory Quiz: *Provide your struggling Week vocabulary (i.e. increase =add; Algebra Writing Rules for *match word with correct Rules for Patterns learners with a blank decrease= subtract; times = multiply, etc) *Variables and Patterns operation/function multiplication chart to fill 3 *Create an input-output chart to describe Expressions *match monomials with their in and continue chants what is happening in a word description Pre-requisites: written form to learn basic multiples *Rewrite one-step word descriptions into Problem Solving Stronger literacy *Rules are often an algebraic form (rule) skills confusing for all *Rewrite two-step word descriptions into students—pretend it’s a an algebraic form (rule) Future relevance: code with your students Algebraic and treat it like Sixth Grade Mathematics Planning Guide expressions translating a mysterious language Oct *Define a polygon State: Chapter 1.4 *Polygon detective clues— *Provide students with Week *Create shapes that are polygons and Geometry Strand Patterns in describe a polygon in written form graph paper during this are not polygons *Geometric Geometry and have students draw and unit (larger squares for 4 *Classify polygons based on their Relationships identify what type of polygon it is your struggling number of sides *Transformational learners) to help create *Identify polygons based on their number Geometry *Symmetric pictures—have and visualize shapes of sides students create half of a polygon (especially for *Identify and draw lines of symmetry of on folded paper; draw their symmetry) basic geometric shapes. prediction for what the polygon DUE TO TIME Extra: looks like; and then cut out the LIMITATIONS PRE- *Identify the formulas for areas of whole polygon. Students can TEST, USE THESE triangles, parallelograms, and circles then write a comparison of their NEXT TWO WEEKS *Solve for the area of triangles, predictions and the actual shape. TO DO AREA parallelograms, and circles STATIONS TO *Solve for the circumference of a circle *Area Station Packet REVIEW WITH *Solve for the perimeter of a polygon STUDENTS BASIC AREA FORMULAS FOR SIMPLE AND IRREGULAR POLYGONS AND CIRCLES. Oct *Use a protractor to measure angles State: Chapter 1.4 *Human Arm as a Protractor— Quiz: *Teach estimation of Week correctly Geometry Strand Patterns in have students use their arm as an Angle Measurements angles first to students *Define angles as either acute, right, *Geometric Geometry estimator tool—straight arm=180 to ensure they have an 5 obtuse, or straight Relationships degrees where elbow equals the approximate reference *Estimate angle measurements visually Future relevance: vertex. before actually *Determine the sum of interior angles for Areas and measuring an angle. a triangle and a quadrilateral using a perimeter of *Angle posters—students create *For struggling learners protractor shapes posters to remember the different especially, using their *Classify triangles based on their angle types of angles (draw at least arm as a human measurements and side lengths three versions of the angle (if protractor helps them *Solve for angle measurements based on possible). Helps students who relate to angle the fact that the sum of interior angles only envision a right angle as an measurement. equals 180 degrees erect L. *Utilize mnemonic *Solve for angle measurements for devices to remember quadrilaterals based on the fact that the *Triangle pictures—create a the sum of interior sum of interior angles equals 360 picture using and labeling all angles for a triangle and degrees three of the triangles (scalene, quadrilateral Sixth Grade Mathematics Planning Guide isosceles, and equilateral) *Missing angle pictures of triangles and quadrilaterals Sixth Grade Mathematics Planning Guide Nov Objectives Standards Impact Activities Assessments Differentiation 2005 Curriculum Tips Nov REVIEW WEEK: See above Chapter 1: *Review games: jeopardy, Test #1: Review weeks are great Week *Patterns, order of operations, rules, and Patterns memory, bingo Patterns opportunities for geometric basics *Differentiated stations and differentiation. Based 1 centers on quiz score, you can *Partner activities with reciprocal create stations, teaching individual centers, and *Creating a dictionary to help with games that are vocabulary centered on students’ individual weaknesses and strengths. This gives you more time to target specific needs. Nov *Define the commutative, associative, State: Chapter 2.1 Mnemonic Devices—associative Project: *Continue to practice Week identity, and distributive properties Number Sense Factors and (numbers hang out (associate) Properties Poster chants with students *Identify the commutative, associative, and Operations Multiples with different friends); identity and making 2 identity, and distributive properties (who is that number—it’s identity multiplication charts for *Write examples for the commutative, Pre-requisites: never changes); and commutative struggling learners associative, identity, and distributive Multiplication (the numbers can’t stay put—they *Use manipulatives to properties Future relevance: keep moving (commuting) all over help struggling learners *List the first twelve multiples for Fractions, *Properties Feud—teams with factors numbers 1-12 Percents, and challenge off on identifying the *This section lends well *Simplify expressions into multiplication Decimals—a correct property first to differentiating by (when we are adding a number fundamental to *Properties posters—students numbers (using more repeatedly) and exponents (when we are almost all future create examples on their own of challenging numbers for multiplying a number repeatedly) content each property to put up on class your excelling learners *Compare growth when using exponents posters and simpler numbers and multiplication *Enlarged graph that for your struggling *Solve exponents through the third power demonstrates an exponential learners) function and regular linear function that you make as a class Nov *Define multiple, factor, least common State: Chapter 2.1 *Multiple Bingo (students pick Quiz: *Using T-charts helps Week multiple, greatest common factor Number Sense Factors and their own numbers through 144) Factors and Multiples students visually Find the LCM of two numbers and Operations Multiples and get to mark spots when organize factors (a 3 *Use a T-chart to find the factors of a Pre-requisites: asked for a multiple of x. First to challenge for struggling number Multiplication get a line wins learners) *Distinguish between a prime and a Future relevance: *Roll numbers while doing LCM *This section lends well composite number Fractions, (see chants above) to differentiating by Sixth Grade Mathematics Planning Guide *Use a factor tree to find all the prime Percents, and *T-charts to get GCF—students numbers (for factor factors of a number Decimals—a find all factor pairs of each trees—provide students *Solve for the GCF using T-charts fundamental to number and circle the largest with numbers of varying almost all future common one. difficulty based on their content *Create actual factor “trees” for a skill levels bulletin board project *Product Game *Factor Game Nov *Define fractions as parts to whole State: Chapter 2.2 *Pizzas are commonly used but Quiz: Differentiate by number; Week *Create fractions visually using Representation Patterns in do often work for intros to the unit Equivalent Fractions Encourage struggling manipulatives and/or drawings Fractions *Cuisinaire Rods are great tools learners to continue to 4 *Create equivalent fractions visually Number Sense Pre-requisites: to compare parts-to-whole (see use visuals along with using manipulatives or drawings (i.e. ½ of and Operations Multiplication, Marilyn Burns activity books for their actual a pizza is the same as 4/8 of a pizza) Division, GCF ideas) computations. For *Reduce a fraction to simplest form using *Be a detective: have students excelling learners, a T-chart (factor pairs) Future relevance: solve for the missing equivalent challenge them to solve *Multiply fractions using the identity Fundamental to all by providing them with the for the missing number property (1=1/1, 2/2, 3/3, 4/4,…) to find Fraction/ratio units denominator of the new fraction (see be a detective) equivalent fractions but not the numerator (more for excelling learners) Sixth Grade Mathematics Planning Guide Dec Objectives Standards Impact Activities Assessments Differentiation 2005 Curriculum Tips Dec *Solve for an equivalent fraction using a State: Chapter 2.2 *Alligators eat the bigger Quiz: Continue to use Week table Representation Patterns in numbers! Factors, Multiples, manipulatives to assist *Compare fractions visually when they Fractions *Fraction Jeopardy (compare, and Fractions students who are 1 have a common denominator Number Sense Pre-requisites: equivalent, reduce) having a hard time *Compare fractions visually when they and Operations Multiplication, visualizing fractions have a common numerator Division, multiples *Use real-life situations *Compare fractions using cross to relate fractions to multiplication and common multiples Future relevance: students (i.e. class Fundamental to all demographics, families, Fraction/ratio units food, etc.) Dec *Identify place values up to the ten State: 2.3 Patterns in *Shopping in store activities *Provide fake money to Week thousandth Problem Solving Decimals (totaling costs) students to visualize *Identify the place values in a decimal *Ordering Decimals Students part of a whole dollar 2 *Relate decimals to their money Number Sense analyze the Tsunami donations *Provide struggling equivalent and Operations and can write them from biggest learners with a place *Read and write a decimal name (up to to smallest percent of donation. value chart to write the ten thousandth) *Board Games—students race to numbers in to identify *Order decimals by comparing place board as members of a team to place values easier values write part of a decimal’s name. *Round and estimate decimals to a certain place value Dec *Memorize basic fraction-decimal State: 2.4 Fractions and *Create benchmark posters and *Review chants to help Week benchmark values (1/2, 1/3, ¼, 1/5, 2/3, Number Sense Decimals real-life ways to remember the students with the steps 3/4) and Operations fraction (i.e. quarters, etc) of long division 3 *Estimate a decimal based on its fraction *Ensure all *Long Division Chant (KIPP *Use money to bring a value children memorize Video) real world context to *Estimate a fraction based on its decimal the basic *Marilyn Burns has a book that decimals and fractions value benchmark values explores fraction and decimal *Divide two numbers using long division as this is crucial activities *Use long division to covert a fraction into throughout the a decimal year. Dec REVIEW WEEK: See above Chapter 1: *Review games: jeopardy, Test #2: Review weeks are great Week *Patterns, exponents, order of Patterns memory, bingo Patterns and opportunities for operations, rules, and geometric basics Chapter 2: *Differentiated stations and Numbers differentiation. Based 4 *Factors, multiples, properties, fractions, Fractions and centers on quiz score, you can and decimals Decimals *Partner activities with reciprocal create stations, Sixth Grade Mathematics Planning Guide teaching individual centers, and *Creating a dictionary to help with games that are vocabulary centered on students’ individual weaknesses and strengths. This gives you more time to target specific needs. Sixth Grade Mathematics Planning Guide Jan Objectives Standards Impact Activities Assessments Differentiation 2006 Curriculum Tips Jan *Find common denominators for a pair of State: Chapter 3.1 *Fraction stations—students Quiz: Adding and Provide a multiplication Week fractions Problem Solving Adding and rotate through different activities Subtracting Fractions chart to struggling *Add fractions with like denominators Subtracting with each type of operation students as they work 1 *Subtract fractions with like denominators Representation Fractions (cumulative activity includes a on getting common *Add fractions with unlike denominators Pre-requisites: mixed review of all operations) denominators. *Subtract fractions with unlike Number Sense Finding Common Create a mnemonic denominators and Operations Denominators device to help students Future Relevance: remember rules for Add and Subtract adding and subtracting Mixed Numbers with like and unlike denominators Jan *Convert improper fractions into mixed State: Chapter 3.1 (This tends to be a tricky concept Quiz: Adding and Have struggling Week numbers Problem Solving Adding and for students so make sure your Subtracting Mixed students roll their *Convert mixed numbers into improper Subtracting activities are well structured and Numbers multiples when 2 fractions Representation Fractions there are some mnemonic converting from *Add mixed numbers with like and unlike Pre-requisites: devices to help students improper to proper and denominators Number Sense Add and Subtract remember the steps) proper to improper *Subtract mixed numbers with like and and Operations fractions fractions; this will help unlike denominators with conversions tremendously. Jan *Multiply fractions State: Chapter 3.2 *Board champs—drill four Test: Operations with Create mnemonic Week *Multiply mixed numbers (convert to Number Sense Multiplying and students at the board at a time Fractions devices to remember improper fraction) and Operations Dividing with and winner gets to remain up at steps for multiplying 3 *Divide fractions Fractions the board and dividing fractions *Divide mixed numbers *Operating with Fractions for your auditory Jeopardy—adding, subtracting, learners. multiplying, and dividing For students with continual problems with converting fractions from proper to improper, have these struggling learners focus first on just fractions, rather than incorporating mixed numbers. Jan *Add decimals State: Chapter 3.3 *More store activities Quiz: Add, Subtract, Create mnemonic *Subtract decimals Problem Solving Multiplying and *Restaurant activities and Multiply devices to remind Sixth Grade Mathematics Planning Guide Week *Multiply decimals by whole numbers Dividing with *Tips at a restaurant Decimals students of the different 4 *Estimate products with decimals as a Representation Decimals *Tax on an item rules for adding and multiplier Pre-requisites: subtracting decimals *Multiply decimals by decimals Number Sense Multiplication (line it up!) and and Operations *Added in adding multiplying and dividing and subtracting decimals (count the decimals, as these places!) are crucial concepts too. Jan *Divide a whole number by a decimal (in State: Chapter 3.3 *Class store Quiz: Basic Start struggling learners Week divisor) Problem Solving Multiplying and *Long Division Chant (KIPP Operations with with calculators to help *Divide a decimal by a whole number Dividing with Video) Decimals them realize the 5 *Divide a decimal by a decimal Representation Decimals *Decimals overview patterns of dividing by *Estimate the quotient when dividing by a Pre-requisites: decimals. A times chart decimal Number Sense Long Division also helps struggling and Operations learners develop comfort with the division process. Sixth Grade Mathematics Planning Guide Feb Objectives Standards Impact Activities Assessments Differentiation 2006 Curriculum Tips Feb *Use a number line to identify counting State: Chapter 2.5 *Visual of the sets of numbers Quiz: For many students, a Week numbers, whole numbers, and integers Representation Negative Numbers (Venn Diagrams are good, but Negative Numbers vertical number line *Order numbers using symbols: greater Pre-requisites: may get confusing for some tends to work better. 1 than, equal to, and lesser than Number Sense Using a number students. Lists are a good Physically walking up *Define absolute value line compliment.) and down a number line *Find the absolute value of a number *Walk the Number Line activities helps students (create a physical large number understand adding and line in your class and have your subtracting a number. students physically walk left Also associating toward the “dark side” and right mnemonic devices with “toward the light”. 0 equals the negative= “bad guys” passageway. and positive= “good guys” helps some learners Feb VACATION WEEK: See above Chapter 1-3 Take-Home Test #3: Create at least two Week Review Packet: Patterns, Numbers, leveled assessments for Patterns, Exponents, Factors, Multiples, and Fractions and your tests, differentiated 2 Basic Geometry, Fraction basics, Decimals by numbers for your Converting between Fractions and excelling and struggling Decimals, Operations with Fractions and learners. Since it is Decimals, Negative Numbers take home, it may not be best to do multiple choice (as students tend to rush through these and you’ll be less able to regulate.) Feb *Define and identify a ratio State: *’Found in seventh Real life ratios (great chance to Quiz: Ratios and Differentiate by number Week *Solve a basic proportion using cross Representation grade Impact incorporate measurement info— Proportions Use of real-life multiplication curriculum (chapter in./ft; ft/yd; ft/miles etc)—Catch situations will motivate 3 *Find the unit price of an object Number Sense 7) but a good pre- Me if You Can Chant on KIPP most all students. *Compare items to determine the best and Operations requisite to Video buy percents *Shopping activities *Identify a percent as a ratio *Percents in the classroom: test and quiz score comparisons Feb *Convert between a decimal and a Representation Chapter 4.1 and *Fraction/percent/decimal charts Quiz: Percent Basics Remind students that Week percent 4.2 Making Sense *Test day—receive percentage on percents are married to *Convert between a fraction and a Number Sense of Percents and test and need to figure out 100 constantly. May 4 percent and Operations Finding a Percent fraction correct offer a calculator to Sixth Grade Mathematics Planning Guide *Memorize a basic of a Quantity struggling learners at fraction/decimal/percent chart for first to get the idea of benchmark values Pre-requisites: percents but best to *Relate percents greater than 100 to Fractions and encourage mixed numbers and whole numbers with Decimals multiplication chart and decimals Future Relevance: chants. Have struggling *Solve for the percent of a number Using Percents learners create additional benchmark charts all week for homework to get additional practice. Sixth Grade Mathematics Planning Guide Mar Objectives Standards Impact Activities Assessments Differentiation 2006 Curriculum Tips Mar REVIEW WEEK: See above Chapter 1: *Review games: jeopardy, Test #4: Review weeks are great Week *Patterns, exponents, order of Patterns memory, bingo Patterns, Numbers, opportunities for operations, rules *Differentiated stations and Basic Geometry, differentiation. Based 1 *Geometric basics Chapter 2: centers Fractions, Decimals, on quiz score, you can *Factors, multiples, properties Numbers (and *Partner activities with reciprocal and Percents create stations, *Negative numbers Geometry Basics) teaching individual centers, and *Fractions, decimals, and percents *Creating a dictionary to help with games that are Chapter 3 and 4: vocabulary centered on students’ Fractions, individual weaknesses Decimals, and and strengths. This Percents gives you more time to target specific needs. Mar FINAL REVIEW WEEK FOR See above Chapters 1-4 Use the previous week’s test as a One standardized Stations that are Week STATEWIDE ASSESSMENT diagnostic and create targeted practice assessment, differentiated based on review activities for groups of if you desire (good to strengths and 2 students based on individual pace students with weaknesses of students needs. this) Mar *Solve for the percent of a number using STATEWIDE Chapter 4.2 *Sales at stores activities Project: Continually remind Week cross multiplication ASSESSMENT: Finding the It’s Sale Time! students to estimate *Solve a “what percent” problem or “what Monday, March 13 Percent of a Students shop at reasonableness of 2 number” problem Quantity and 4.3 their favorite store answers (use *Solve for the percent discount Percents and pre-and post-sale benchmark values to *Solve for the sale price Wholes and determine how help do this). Have much they saved as struggling learners keep a result. their benchmark values out if they have not memorized them yet. Mar *Create a table to describe a data set State: Chapter 6.1 Using *Students create survey on topic Week-long Class When suggesting topics Week *Create a bar graph using a data set Statistics and Graphs to *Students collect information Project: to students, select *Interpret a bar graph for certain Probability Understand Data *Students create a table based on Sample Survey and topics with lesser 3 information *Incorporate data Graphs: Have categories for your *Find percents of components in a data Number Sense measurement into *Students create a bar graph students create a struggling learners and set and Operations this unit by using based on data survey of students in topics with more *Create a pie graph to represent data lbs, in., ft., kg., etc. *Students create a circle graph the class and make a possible categories for Review with based on data (and percentages table, bar graph, and your excelling learners students basic they found) circle graph (i.e. struggling units of *Students analyze questions on displaying the learners= age, gender, measurement. graphs during a gallery walk for information. Then ethnicity; excelling Sixth Grade Mathematics Planning Guide culminating project present the graphs in learners=favorite color, a gallery walk at the subject, food, etc.) end of the week and have classmates answer sample questions based on the graphs. Mar *Describe a set of data in written and oral State: Chapter 6.2 What *Create interesting data sets for Quiz: Differentiate by number Week form Statistics and is Typical? students and find the various Mean, Median, and Use real life situations *Describe the range of a set of data and Probability *Incorporate averages for each. Mode 4 identify outliers measurement into *Find the median of a set of data this unit by using *Find the mode of a set of data lbs, in., ft., kg., etc. *Find the mean of a set of data Review with *Choose the best average for a given students units of situation measurement. Sixth Grade Mathematics Planning Guide Apr Objectives Standards Impact Activities Assessments Differentiation 2006 Curriculum Tips Apr *Find the perimeter of a polygon State: Chapter 8.2 *Measure playground outside Quiz: Perimeters and Provide struggling Week *Estimate the perimeter of a polygon Measuring Around *Measure perimeter of school Circumferences students with graph *Use basic units of measure for length Geometry *Look online—there are usually a paper as they measure. 1 *Derive an approximate for the number pi Pre-requisites: Basic lot of great ways to approximately Have excelling learners *Use formula to solve for the circumference Measurement measurement units “derive” the number pi with measure all their of a circle. students that are fun shapes Apr *Find the area of a square State: Chapter 8.3 Areas *Marilyn Burns Activities (All Test: Advanced Again, provide Week *Find squares and square roots of numbers and Squares and 8.4 About Mathematics offers Geometry struggling learners with *Find the area of a parallelogram Geometry Calculating Areas numerous activities on using graph paper to count 2 *Estimate the area of a parallelogram manipulatives to explore areas’ square units. *Find the area of a triangle Measurement formulas) Have excelling learners *Find the area of a circle *Area Station Packet start to find the areas of *Find the area of an irregular shape Number irregular polygons (excelling learners) Sense and (combine more than Operations one formula). Apr VACATION WEEK Week 3 Apr CONTINUE MONTHLY UNITS ON THE *Chapter 10.1 and *Basic concepts and rules of Test #5: All topics Week FOLLOWING TOPICS TO PREPARE FOR 10.2 probability (2 weeks) THE SEVENTH GRADE OR CREATE *Chapter 7.1 and 7.2 *Patterns and Variables (2 weeks) 4 WEEKLY REVIEW PROJECTS (SEE UNIT *Chapter 9.2 and 9.3 *Understanding Equations and PLANS) Using Guess-and-check to Solve (2 weeks) *Chapter 5.1 and 5.2 *Interpreting and Creating Graphs (2 weeks)

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posted: | 4/12/2011 |

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