Teacher: CORE Math Grade 6 Year: 2010-11 Course: Math Grade 6 Month: All Months S e p Essential t Questions e m b e r NUMBER SENSE AND OPERATIONS Content Skills VocabularyAssessments Lessons Resources Stards Place- Value Exponents Write whole using words (stard form) Read whole written in stard form Name place value of underlined digit. Translate in different forms including stard, word, shortword, exped form Compare 2 or more whole using,= symbols. Order whole from least to greatest. Write repeated multiplication in exponential form. Diagnostic Math 6 Test 9/10/2011 6.N.1 -Read write whole to trillions 6.N.23 - Represent repeated multiplication in exponential form 6.N.24 - Represent exponential form as repeated multiplication 6.N.25 - Evaluate expressions having exponents where power is an exponent of one, two, or three
Rounding Estimation: sums, differences, products quotients Operations: Order of Operation Write an exponential number as repeated multiplication. Evaluate an exponential number with powers of 1,2,3. Round a whole number to a given place using rules for rounding. Estimate 2 or more whole sums, differences, products quotients. Identify what each letter represents in PEMDAS Underst apply two exceptions to PEMDAS rule (only adding subtracting left in problem - 6.N.27 -Justify reasonableness of answers using estimation (including rounding) 6.M.8 -Justify reasonableness of estimates 6.N.22 - Evaluate numerical expressions using order of operations (may include exponents of two three)
O c t o b e r ALGEBRA Essential Questions go left to right) evaluate an order of operations problem Properties:communitives, associative, identity, distributive Name property shown in an equation (commutative, associative,identity, distributive multiplication property of zero solve for a missing number in equation multiply a single digit number by a double digit number by a double using distributive property (using eir addition or subtraction method) 6.N.2 -Define identify commutative associative properties of addition multiplication 6.N.3 -Define identify distributive property of multiplication over addition 6.N.4 -Define identify identity inverse properties of addition multiplication 6.N.5 -Define identify zero property of multiplication Content Skills Vocabulary Assessments Lessons Resources Stards Variables Identify 'clue words' expressions within a one-step expression in order to identify 6.A.1- Translate two-step verbal expressions into algebraic
operation. Convert a one-step word phrase into an algebraic expression. Evaluate a one-step expression if given value of variable. Define variables constants. Whole Identify Number Equations 'clue words' within a one--step equations in order to determine operation Convert a expressions 6.A.2-Use substitution to evaluate algebraic expressions (may include exponents of one, two three) 6.N.25 - Evaluate expressions having exponents where power is an exponent of one, two, or three 6.A.4 - Solve explain two-step equations involving whole using inverse operations 6.A.1- Translate two-step verbal expressions into algebraic expressions 6.A.2-Use substitution to evaluate algebraic
N o v Essential e Questions m b e r one-step word phrase into an algebraic equations. Evaluate a one-step equations if given value of variable. Solves for a variable in a onestep equation using inverse operations. FRACTIONS AND MIXED NUMBERS expressions (may include exponents of one, two three) 6.N.25 - Evaluate expressions having exponents where power is an exponent of one, two, or three 6.A.4 - Solve explain two-step equations involving whole using inverse operations Content Skills Vocabulary AssessmentsLessons Resources Stards Patterns identify pattern for a given set of /or shapes complete pattern in a given set of Divisibility tell wher a 6.N.20 - Represent fractions as terminating or repeating decimals
Greatest Common Factor (GCF) given number is divisible by 2,3,5,6,9, or 10 list factors for a given number find GCF for two of three Decimal read Place- write Value decimals to thousths place write decimals in decimal, word, short-word, exped forms Understing name Fractions fraction that represents shaded/nonshaded part of a given figure/polygon draw shade-in a figure to represent a given fraction Equivalent Fractions name three equivalent
D e c e m b e r Improper Fractions fractions reduce a fraction to simplest form convert an improper fraction to a mixed number vice versa FRACTIONS--ADDING/SUBTRACTING Essential Content Skills VocabularyAssessments Lessons Resources Stards Questions Add/Subtract Fractions with Like Denominators Least Common Multiple (LCM) Estimating Sums Differences of Fractions/Mixed Numbers Add Fractions Mixed add/subtract fractions with like list multiples of a given number find LCM for two or three round a fraction/mixed number to nearest whole number estimate sum or difference of two to three fractions/mixed identify a common 6.N.16 -Add subtract fractions with 6.N.17 - Multiply divide fractions with 6.N.19- Identify multiplicative inverse (reciprocal) of a number 6.N.16 -Add subtract
Numbers with Unlike Denominators multiple /LCM to use as a common denominator add two to three fractiosns/mixed with like denominator reduce sum to simplest form Subtracting identify a Fractions/Mixed common Numbers multiple/lcm to use as a common multiple subtract two fractions/mixed with like reduce difference to simplest form fractions with 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.17 - Multiply divide fractions with 6.N.16 -Add subtract fractions with 6.N.18 -Add, subtract, multiply, divide mixed with J a n u a r y FRACTIONS--MULTIPLYING/DIVIDING Essential Questions Content Skills VocabularyAssessmentsLessons Resources Stards Multiplying a Fraction by a Whole Number cancel numerators by a common factor/gcf prior to multiplying 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.17 -
multiply a fraction by a whole number reduce product to simplest form Multiplying cancel Fractions numerators/ by a common factor/gcf prior to multiplying multiply two fractions reduce product to simplest form Estimating round a with fraction/mixed Fractions number to Mixed nearest whole Numbers number estimate product/quotient of fractions/mixed Multiplying Mixed Numbers convert mixed to improper fractions cancel numerators/ by a common factor prior to multiplying multiply two mixed reduce product to simplest form Multiply divide fractions with 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.17 - Multiply divide fractions with 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.19- Identify multiplicative inverse (reciprocal) of a number 6.N.17 -
Dividing Fractions Dividing Mixed Numbers Expressions with Fractions convert mixed to improper fractions name reciprocal for a given proper/improper fraction multiply two fractions using canceling as needed reduce quotient to simplest form convert mixed to improper fractions name reciprocal for a given proper/improper fraction/whole number multiply two fractions using canceling as needed reduce qotient to simplest form identify operational "clue" words Multiply divide fractions with 6.N.17 - Multiply divide fractions with 6.N.18 -Add, subtract, multiply, divide mixed with 6.N.19- Identify multiplicative inverse (reciprocal) of a number
F e b r u a r y PERCENTS Essential Questions Solving Equations with Fractions translate a word phrase into an algebraic expression evaluate an expression if given value of a variable solve for variable in a given equation with fractions Content Skills VocabularyAssessments Lessons Resources Stards Connecting write a Fractions, decimal as Decimals, a fraction up to Percents thousths place (in simplest form) write a fraction as eir a terminating or repeating decimal convert a decimal to a percent identify shaded/nonshaded portion of 6.N.20 - Represent fractions as terminating or repeating decimals 6.N.21 -Find multiple representations of rational (fractions, decimals, percents 0 to 100) 6.N.26 - Estimate a percent of quantity (0% to 100%)
Percents Comparing Ordering Fractions Decimals Sales Tax Discount given figure using fractions, decimals, percents convert a fraction /or decimal to a percent find a percent of a given number estimate percent of a given quantity compare two decimals /or fractions order four to five fractions/decimals from least to greatest vice versa solve for percent of a given number add tax to initial cost of item to determine gr total subtract discount from original price in
order to determine new sale price RATIOS AND PROPORTIONS Essential Questions Content Skills VocabularyAssessmentsLessons Resources Stards Ratios write a ratio for a comparison in three different ways find equivalent ratios compare to or more ratios 6.N.11 -Read, write, identify percents of a whole (0% to 100%) 6.N.12 -Solve percent problems involving percent, rate, base 6.N.20 - Represent fractions as terminating or repeating decimals 6.N.21 -Find multiple representations of rational (fractions, decimals, percents 0 to 100) 6.N.26 - Estimate a
Rates translate a word phrase into a rate simplify a given rate into a unit rate compare two or more rates percent of quantity (0% to 100%) Proportions determine if two ratios form a proportion solve for variable in a given proportion INTEGERS Essential Content Skills VocabularyAssessments Lessons Resources Stards
M a r c h GEOMETRY Integers complete a number line from - 10 to +10 identify missing integer(s) on a given number line name opposite of a given integer Comparing/Ordering compare Integers two integers order four to five integers from least to greatest vice versa Absolute Value determine absolute value of a given integer Essential Content Skills Vocabulary AssessmentsLessons Resources Stards Questions Polygons name regular polygons including triangles, quadrilaterals, pentagons, hexagons, geometry irregular polygon quadrilateral rectangle rhombus regular
octagon polygon square trapezoid triangle Perimeter Area Volume Circles find perimeter of regular irregular polygons solve for area of triangles quadrilaterals solve for volume of rectangular prisms or cylinders using formulas solve for circumference, using formula(s), if given radius or diameter solve for area of a circle, using perimeter area formula length height width regular polygon irregular polygon base 6.G.2 - Determine area of triangles quadrilaterals (squares, rectangles, rhombi, trapezoids) develop formulas 6.G.3 -Use a variety of strategies to find area of regular irregular polygons 6.G.4 - Determine volume of rectangular prisms by counting cubes develop formula 6.G.5 - Identify radius, diameter, chords central angles of a circle 6.G.6 - Underst relationship between
Similar Figures formula(s),if given radius or diameter solve for area of a sector of a circle using formula identify radius, diameter, chord, sector, central angle of a given circle solve for diameter of a circle if given radius vice versa calculate length of corresponding sides of two similar triangles diameter radius of a circle 6.G.7 - Determine area circumference of a circle, using formula 6.G.8 - Calculate area of a sector of a circle, given measure of a central angle radius of circle 6.G.9 - Underst relationship between circumference diameter of a circle 6.A.6-Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.) 6.G.2 - Determine area of triangles quadrilaterals (squares,
A p r i l STATISTICS Essential Questions Coordinate number Planes label x y axis on a coordinate plane plot points in all four quadrants rectangles, rhombi, trapezoids) develop formulas Content Skills VocabularyAssessments Lessons Resources Stards Organization Display of Data Record data in a frequency table Construct Venn Diagram Select most graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph) 6.S.2 - Record data in a frequency table 6.S.3 - Construct Venn diagrams to sort data 6.S.4 - Determine justify most graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph) Collection Select 6.S.1 -
M a y of Data Analysis of Data MEASUREMENT best method to collect data for a particular question Find mean, median, mode for a given set of data Find range for a given set of data Read graphs Interpret graphs Justify predictions made from data Develop concept of sampling when collecting data from a population decide best method to collect data for a particular question 6.S.5 - Determine mean, mode median for a given set of data 6.S.6 - Determine range for a given set of data 6.S.7 -Read interpret graphs 6.S.8- Justify predictions made from data Essential Content Skills VocabularyAssessmentsLessons Resources Stards Questions Customary Identify Measurement customary units of Metric measure. Measurement
Identify most customary unit of measurement for distance /or capacity. Convert customary units of measurement. Identify metric units of measurement. Identify most metric unit of measure for distance capacity. Convert metric units of measurement. J u n e PROBABILITY Essential Questions Content Skills VocabularyAssessmentsLessons Resources Stards Adding & Determine Multiplying number Probabilities of possible outcomes for a single or compound event. 6.S.1 - Develop concept of sampling when collecting data from a population
Determine probability of independent or dependent events. decide best method to collect data for a particular question 6.S.4 - Determine justify most graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)