CASE21 North Carolina Pacing Guide: 6 TH GRADE MATH Updated August 11, 2010

Transcription

1 Day Date Unit State Standards Core and Related Concepts 1 N/A Welcome Back Course expectations Math activity 2 Unit Properties 3 Properties, 1.05 Associative & 4 Exponents & 1.07 commutative/include 5 Order of 5.01 whole numbers, fractions, 6 Operations decimals & like terms 7 Identity/show the format 20 Days 8 as well as Inverse/in preparation for 11 equations 12 Distributive/do not use 13 variables Exponents Writing powers as a 16 product 17 Write each product using 18 an exponent 19 Exponent Rules Multiply & divide Order of Operation Definition (PEMDAS) Introduce the different representation of multiplication (4 5, 4(5), 4 x 5) Algebraic Expressions Combine Evaluate/use exponents Distributive Property Distributive with variables Include problems where you would have to combine & use order of operation Notes Example: 2a + 3a = 3a + 2a (introductory into combining) Introduce: power of zero Include: exponents & distributive with numbers Challenge: incorporate ( ); [ ] ; & { } 20 REVIEW 21 UNIT 1 COMMON ASSESSMENT 1

2 Unit 2 Number Theory & 11 Days GCF Rules of divisibility Prime factorization LCM Lists/review Prime factorization Find GCF/LCM at the same time Problem Solving GCF/LCM Common fractions Equivalent (refer to identity property: ) Simplify (using GCF) Proper (explain as any fraction < 1) Improper (explain as any fraction 1) Change mixed numbers to improper fractions (vise-versa) Compare & order/ on a number line Find LCD/LCM 31 REVIEW 32 UNIT 2 COMMON ASSESSMENT 33 Unit 3: 1.04 Add 34 Operations Like denominators 35 With Unlike denominators 36 Subtract 37 Like denominators Days Unlike denominators 39 REVIEW 40 1ST BENCHMARK FOR UNIT Continue 42 With Unit 3: Multiply & divide 43 Operations 44 With Problem Solving Strategies 45 Introduce 4-step plan 46 Use all four operations Vocabulary: prime, composite & factor Challenge: find the LCM for three numbers Introduce: inequality symbols Explore: fraction measurement with a ruler Include: mixed numbers Emphasize: regroup/ rename Include: mixed numbers Emphasize: dividing by a number is the same as multiplying by 2

3 47 REVIEW 48 UNIT 3 COMMON ASSESSMENT 49 Unit 4: 1.03 Decimals 50 Decimals Days Compare & contrast Terminating & repeating 53 Compare & order 54 Convert fractions to decimals (include mix 55 numbers) 56 Convert decimals to 57 fractions 58 Compare fractions & 59 decimals 60 Add & Subtract Decimals Include problems where one of the numbers is a whole number Multiply Decimals Divide Decimals 66 By whole number By another decimal Decimal & Metric Measurement Divide by powers of 10 Convert decimals to metric Problem Solving Use all four operations 67 REVIEW 68 UNIT 4 COMMON ASSESSMENT Unit 5: Percents 11 Days 1.02 Percents Converting Percents Decimal to percent Percent to decimal Fraction to percent Percent to fraction Order decimal, fraction & percent/number line Common Percents 75%, 50%, 25%, 20%, 10%, 1%/show the relationship between these percents & their equivalent fraction Problem Solving the reciprocal Review: place values beyond the decimal point Compare on a number line & using inequality symbols When subtracting regroup/ rename for two places Concentrate on mass Introduce: ratio Use: percents greater than 100 3

4 Use common percents with tip, tax and discount problems Use real world situations Percent of a number 78 REVIEW 79 UNIT 5 COMMON ASSESSMENT Unit 6: Integers & Scientific Notation 9 Days Integers Opposites Absolute value Compare & order Introduce Coordinate Plane 82 REVIEW 83 2 ND BENCHMARK FOR UNIT Continue Scientific Notation 85 With Unit 6: 86 Integers & Review on powers of 10 s 87 Scientific Numbers Greater Than One 88 Notation Standard to scientific Scientific to standard Numbers Less Than One Standard to scientific Scientific to standard 89 REVIEW 90 UNIT 6 COMMON ASSESSMENT 91 Unit 7: 2.01 Angles 92 Angles, 2.02 Classify 93 Perimeter & 3.02 Measurement with a 94 Area protractor 95 Angle Relationships DAYS Vertical Complimentary & 97 supplementary Triangles Perimeter 4 Classify/according to side lengths & angle measure Rectangles, parallelograms & triangles Find the missing side Use: number line Fun activity/initial preparation for transforma-tio n Emphasize: power of 10 with a negative exponent is really a proper fraction Acute,obtuse, right & straight Acute, equilateral, isosceles, obtuse, right & scalene Have problems where the measure-men

5 Area Problems involving a change in dimensions Problem solving Rectangles, parallelograms & triangles Estimate with a graph ts are given in different formats Challenge: trapezoids/ use models Problem solving Complex Figures Perimeter & area Circles /radius, diameter, center, chord & circumference Pi /ratio of the circumference of a circle to the length of its diameter Formula/Circumference Find the circumference Introduce: both 3.14 & Find activity Emphasize: relationship between the two formulas: 5 using d & 2 r Find the diameter or radius given the circumference Formula/Area Manipulate The Formula Problem Solving Circles Shade/Un-shade 110 REVIEW 111 UNIT 7 COMMON ASSESSMENT Unit 8: Transfor-ma tion 12 Days Coordinate Plane Vocabulary: coordinate plane, ordered pairs, quadrants, x-axis, y-axis Plot points Find perimeter & area of geometric figures in a coordinate plane d & 2 Activity: Battleship r

6 (problems doubling the dimensions) Transformations Vocabulary/image & pre-image Notation Translation Define Relate to prior knowledge of the coordinate plane Reflection Rotation /turn (90⁰, 180⁰, 270⁰, 360⁰) Slide up or down/ y-axis, slide right or left/x-axis, reflect over a point other than an axis Vocabulary: clockwise, counter-clock wise, origin 122 REVIEW 123 UNIT 8 COMMON ASSESSMENT 124 Unit 9: 4.01 Probability 125 Probability Days Fundamental counting principal 4.06 Tree diagrams Permutation & combinations 128 REVIEW 129 3RD BENCHMARK FOR UNIT Continue With Unit 9: Single & compound events Probability Theoretical & experimental 134 Independent & 135 dependent 136 REVIEW 137 UNIT 9 COMMON ASSESSMENT 138 Unit 10: 5.01 Algebraic Expressions 139 Algebra 5.02 Combine Evaluate with & without a DAYS 5.04 table 142 Translate between words 143 & math One Step Equation 6 Compare Incorporate: order of operations, exponents & distributive property

7 144 Add & subtract 145 Multiply & divide 146 Two-Step Equations 147 All four types 148 One and Two-Step Inequalities 149 symbols Solve and graph 150 Pattern & Rules 151 Input, output table Find the rule given order pairs Find the rule given a graph Find the rate of change given a graph 152 REVIEW 153 UNIT 10 COMMON ASSESSMENT REVIEW FOR EOG S EOG TESTING MAKE-UP TESTING/ENRICHMENT REMEDIATION/RETESTING/ENRICHMENT

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