Curriculum Map



Grade 6 Mathematics Curriculum Map 2010-2011

|Unit Time Line |Skills |Standards |Lesson Materials |

|Prime Time |Understanding the relationship among |6.N.22 Evaluate numerical expressions using order of operations (may include |Note that the CMP Teachers Guide has suggested |

| |factors, multiples, divisors, and |exponents of two and three) |questions for each Investigation. Teachers are |

|4 weeks |products. |6.N.23 Represent repeated multiplication in exponential form |recommended to read the Teachers Guide before |

| |Recognize that factors come in pairs |6.N.24 Represent exponential form as repeated multiplication |embarking on the unit. |

| |Develop strategies for finding factors |6.N.25 Evaluate expressions having exponents where the power is an exponent | |

| |Rounding rules |of one, two, or three | |

| |Recognizing and classifying numbers as |6.N.15 Order rational numbers (including positive and negative) |CMP Unit: Prime Time : |

| |prime or composite |6.N.13 Define absolute value and determine the absolute value of rational | |

| |Understand negative numbers and opposites |numbers (including positive and negative) |Investigation 1 |

| | |6.S.3 Construct Venn diagrams to sort data | |

| | |Extension |Investigation 2 |

| |Extension |7.N.10 Determine the prime factorization of a given number and write in | |

| |Prime Factorization written in exponential|exponential form |Investigation 3 |

| |form |7.N.14 Develop a conceptual understanding of negative and zero exponents | |

| |Negative and zero exponents |with a base of ten and relate to fractions and decimals |Investigation 4 |

| |Square roots of perfect squares |7.N.15 Recognize and state the value of the square root of a perfect square | |

| | |(up to 225) |Investigation 5 |

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| | | |Investigation 6 |

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| | | |Impact Book 1 Section 2.1 |

| | | |P78-80 Set C & D |

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| | | |Teacher Handouts |

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| | | |Skills Interventions Workbook |

| | | |Skills 18-20 |

|Unit Time Line |Skills |Standards |Lesson Materials |

|Bits and Pieces I |Identify fractional parts of a whole |6.N.1 Read and write whole numbers to trillions |Note that the CMP Teachers Guide has suggested |

| |Compare and order fractions |6.N.2 Define and identify the commutative and associative properties of |questions for each Investigation. Teachers are |

|5 weeks |Identify equivalent fractions |addition and multiplication |recommended to read the Teachers Guide before |

| |Identify place value from millions to |6.N.4 Define and identify the identity and inverse properties of addition and|embarking on the unit. |

| |thousandths |multiplication | |

| |Use estimation to understand a situation |6.N.5 Define and identify the zero property of multiplication |CMP unit: Bits and Pieces I |

| |Use physical models & drawings to help reason|6.N.6 Understand the concept of rate | |

| |about a situation |6.N.7 Express equivalent ratios as a proportion |Investigation 1: 1.1 |

| |Understand the link between fractions and |6.N.8 Distinguish the difference between rate and ratio | |

| |decimals |6.N.9 Solve proportions using equivalent fractions |Investigation2: 2.1, 2.2 ,2.3, 2.4, 2.5 |

| |Convert fractions to decimals |6.N.10 Verify the proportionality using the product of the means equals the | |

| |Convert decimals to fractions |product of the extremes |Investigation 3: 3.1, 3.2 |

| | |6.N.14 Locate rational numbers on a number line (including positive and | |

| | |negative) |Investigation 4: 4.1 |

| | |6.N.19 Identify the multiplicative inverse (reciprocal) of a number | |

| | |6.N.20 Represent fractions as terminating or repeating decimals |Investigation 5: 5.1 (5.3 for SP classes) |

| | |6.N.21 Find multiple representations of rational numbers (fractions, | |

| | |decimals, and percents 0 to 100) |Investigation 6: 6.1, 6.4 |

| | |6.N.27 Justify the reasonableness of answers using estimation (including | |

| | |rounding) | |

| | |6.N.2 Define and identify the commutative and associative properties of | |

| | |addition and multiplication | |

| | |6.N.3 Define and identify the distributive property of multiplication over | |

| | |addition | |

|Unit Time Line |Skills |Standards |Lesson Materials |

|Data about Us |Compile a set of data from opinion polls, |6.N.27 Justify the reasonableness of answers using estimation (including |Note that the CMP Teachers Guide has suggested |

| |experiments etc |rounding) |questions for each Investigation. Teachers are |

|4 weeks |Select, create and use appropriate graphical |6.M.8 Justify the reasonableness of estimates |recommended to read the Teachers Guide before |

| |representations of data including: |6.S.1 Develop the concept of sampling when collecting data from a population |embarking on the unit. |

| |line plots; |and decide the best method to collect data for a particular question | |

| |bar graphs |6.S.2 Record data in a frequency table |CMP unit: Data About Us |

| |line graphs |6.S.4 Determine and justify the most appropriate graph to display a given set| |

| |histograms |of data |Investigation 1: 1.1, 1.2, 1.3, 1.4, 1.5 |

| |stem & leaf plots |(pictograph, bar graph, line graph, histogram, or circle graph) | |

| |Read graphical representations of and use |6.S.5 Determine the mean, mode and median for a given set of data |Investigation 2: 2.1, 2.2 |

| |data |6.S.6 Determine the range for a given set of data | |

| |Measures of center to describe data such as: |6.S.7 Read and interpret graphs |Investigation 3: 3.1, 3.2 (suitable for the SP |

| |Mean |6.S.8 Justify predictions made from data |classes) |

| |Median |7.S.3 Convert raw data into double bar graphs and double line graphs | |

| |Mode |7.S.4 Calculate the range for a given set of data |Investigation 4: 4.1, 4.2 |

| |Range |7.S.5 Select the appropriate measure of central tendency | |

| |Understand how measures of center relate to |7.S.6 Read and interpret data represented graphically (pictograph, bar graph,|Skills Interventions Workbook: Skills 66, 67, 68, 69, |

| |numerical and categorical data |histogram, line graph, double line/bar graphs, or circle graph.) |71. |

| | |Extension | |

| |Extension |7.S.2 Display data in a circle graph |Impact Book 1: Chapter 5 & 6: Investigation 2 |

| |Create circle graphs, double bar graphs and |7.S.3 Convert raw data into double bar graphs and double line graphs |Problems on p346, 348, 354, 371, 380, 400 |

| |double line graphs | | |

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|Unit Time Line |Skills |Standards |Lesson Materials |

|Bits and Pieces II |Understand percentages |6.N.11 Read, write, and identify percents of a whole (0% to 100%) |Note that the CMP Teachers Guide has suggested |

| |Convert fractions and decimals to percentages|6.N.12 Solve percent problems involving percent, rate, and base |questions for each Investigation. Teachers are |

|4 weeks |Convert percentages to decimals and fractions|6.N.16 Add and subtract fractions with unlike denominators |recommended to read the Teachers Guide before |

| |Add, subtract, multiply & divide fractions |6.N.17 Multiply and divide fractions with unlike denominators |embarking on the unit. |

| |decimals and percentages |6.N.18 Add, subtract, multiply and divide mixed numbers with unlike | |

| | |denominators | |

| |Extension |6.N.26 Estimate a percent of quantity (0% to 100%) |CMP unit: Bits and Pieces II |

| |Identify and classify subsets of real numbers|Extension | |

| |Use order of operations to solve multi-step |7.N.1 Distinguish between the various subsets of real numbers |Investigation 1: 1.1, 1.2, 1.3 |

| |fractional expressions |(counting/natural numbers, whole numbers, integers, rational numbers, and | |

| |Solve a variety of percent problems (e.g. |irrational numbers) |Teacher handouts |

| |calculate discount and sales tax) |7.N.2 Recognize the difference between rational and irrational numbers (e.g.| |

| | |explore different approximations of pi) | |

| | |7.N.3 Place rational and irrational numbers (approximations) on a number |Quick review Math Handbook: Hot Topics 2 |

| | |line and justify the placement of numbers | |

| | |7.N.17 Classify irrational numbers as non-repeating/non-terminating decimals|Skills Interventions Workbook |

| | |8.N.4 Apply percents to: Tax, percent increase/decrease, simple interest, |Skills 21 - 30 |

| | |sales price, commission, interest rates and gratuities | |

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|Unit Time Line |Skills |Standards |Lesson Materials |

|Algebra |Translate verbal expressions/equations into |6.A.1 Translate two-step verbal expressions into algebraic expressions | |

| |algebraic expressions/equations. |6.A.2 Use substitution to evaluate algebraic expressions |Impact Book 1: |

|3 weeks |Evaluate algebraic expressions using |(may include exponents of one, two and three) |Chapter 9 |

| |substitution |6.A.3 Translate two-step verbal sentences into algebraic equations | |

| |Solve and explain one and two step equations |6.A.4 Solve and explain two-step equations involving whole numbers using | |

| |Identify and use inverse operations |inverse operations |Skills Interventions Workbook: |

| |Evaluate given formulas |6.A.5 Solve simple proportions within context |Skills 37 – 40 |

| | |6.A.6 Evaluate formulas for given input values | |

| |Extension |(Circumference, area, volume, distance, temperature, interest, etc.) | |

| |Combine like terms | |Buckle Down Workbook: |

| |Identify polynomials |Extension |Unit 2- Lessons 6 and 7 |

| |Solve multi-step equations (using |7.A.1 Translate two-step verbal expressions into algebraic expressions | |

| |distributive property, and variables on both |7.A.2 Add and subtract monomials with exponents of one | |

| |sides of the equation) |7.A.3 Identify a polynomial as an algebraic expression containing one or |Teacher Handouts |

| |Write an equation from a table of values |more terms | |

| | |7.A.4 Solve multi-step equations by combining like terms, using the |Pizzazz |

| | |distributive property, or moving variables to one side of the equations | |

| | |7.A.10 Write an equation to represent a function from a table of values. | |

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|Unit Time Line |Skills |Standards |Lesson Materials |

|Covering and Surrounding |Measure and calculate the perimeter of |6.G.1 Calculate the length of corresponding sides of similar triangles, using|Note that the CMP Teachers Guide has suggested |

| |triangles and rectangles and non-rectangular |proportional reasoning |questions for each Investigation. Teachers are |

|5 weeks |shapes such as parallelograms and circles |6.G.2 Determine the area of triangles and quadrilaterals |recommended to read the Teachers Guide before |

| |Measure and calculate the area of triangles |(squares, rectangles, rhombi, and trapezoids) and develop formulas |embarking on the unit. |

| |and rectangles and non-rectangular shapes |6.G.3 Use a variety of strategies to find the area of regular and irregular | |

| |such as parallelograms and circles |polygons |CMP unit: Covering & Surrounding: |

| |Develop formulas or procedures stated in |6.G.4 Determine the volume of rectangular prisms by counting cubes and |Investigation 1: 1.1, 1.2, 1.3, 1.4 |

| |words or symbols |develop the formula | |

| |Identify and name polygons (with 3 to 10 |6.G.5 Identify radius, diameter, chords and central angles of a circle |Investigation2: 2.1 |

| |sides) |6.G.6 Understand the relationship between the diameter and radius of a circle| |

| |Identify major ‘benchmark’ angles such as 30,|6.G.7 Determine the area and circumference of a circle, using the appropriate|Investigation 3: 3.1 |

| |45, 60, 90, 180, 270, 360 |formula | |

| |Name and identify acute, obtuse, right and |6.G.8 Calculate the area of a sector of a circle, given the measure of a |Investigation 4: 4.1 |

| |straight angles |central angle and the radius of the circle | |

| |Estimate angles |6.G.9 Understand the relationship between the circumference and the diameter |Investigation 5: 5.1, 5.2 |

| |Use protractors to measure angles |of a circle | |

| |Know the sum of the interior angles of a |6.G.10 Identify and plot points in all four quadrants |Investigation 6: 6.1, 6.2 |

| |triangle is 180 |6.G.11 Calculate the area of basic polygons drawn on a coordinate plane | |

| |Measure and calculate the perimeter of |(rectangles and shapes composed of rectangles having sides with integer |Investigation 7: 7.1, 7.2, 7.3, 7.4, 7.5 |

| |triangles and rectangles |lengths) | |

| |Measure and calculate the area of triangles |6.N.27 Justify the reasonableness of answers using estimation (including |Skills Interventions Workbook Grade 6: Skills 42 – |

| |and rectangles |rounding) |54, 57 |

| |Use multiple representations of data |6.A.6 Evaluate formulas for given input values | |

| | |(circumference, area, volume, distance, temperature, interest, etc.) |Skills Interventions Workbook Grade 7: Skills 46, 47, |

| |Extension |6.M.1 Measure the capacity and calculate volume of a rectangular prism |58, 59, 60, 61, 62 |

| |Find the radius and diameter given the |6.M.2 Identify customary units of capacity (cups, pints, quarts, and gallons)| |

| |circumference or area |6.M.3 Identify equivalent customary units of capacity (cups to pints, pints | |

| |Volume of prisms and cylinders |to quarts, and quarts to gallons) |Geometer’s Sketchpad is useful for this unit |

| |Identify faces and bases of 3 dimensional |6.M.4 Identify metric units of capacity (liter and milliliter) | |

| |shapes |6.M.5 Identify equivalent metric units of capacity (milliliter to liter and | |

| |Surface area of prisms and cylinders |liter to milliliter) |Teacher Handouts |

| |Find missing angles of triangles and |6.M.8 Justify the reasonableness of estimates | |

| |quadrilaterals |6.M.6 Determine the tool and technique to measure with an appropriate level | |

| | |of precision: capacity |CMP unit: Shapes & Designs |

| | |6.M.7 Estimate volume, area, and circumference (see figures identified in | |

| | |geometry strand) |Investigation 1:1.1 |

| | |6.M.8 Justify the reasonableness of estimates | |

| | |6.M.9 Determine personal references for capacity |Investigation 3: 3.2, 3.4 |

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| | |Extension | |

| | |7.G.1 Calculate the radius or diameter, given the circumference or area of a|Impact Book 1: Chapter 8.1, 8.2, 8.3, 8.4 |

| | |circle |Chapter 1.4 |

| | |7.G.2 Calculate the volume of prisms and cylinders, using a given formula | |

| | |and a calculator | |

| | |7.G.3 Identify the two-dimensional shapes the make up the faces and bases of| |

| | |three-dimensional shapes (prisms, cylinders, cones, and pyramids) | |

| | |7.G.4 Determine the surface area of prisms and cylinders | |

| | |7.G.7 Find a missing angle when given angles of triangles and quadrilaterals| |

|Unit Time Line |Skills |Standards |Lesson Materials |

|How Likely Is It? |Develop an understanding of probability (the |6.S.1 Develop the concept of sampling when collecting data from a population |Note that the CMP Teachers Guide has suggested |

| |likelihood of a particular outcome) |and decide the best method to collect data for a particular question |questions for each Investigation. Teachers are |

|4 weeks |Calculate theoretical probability in simple |6.S.2 Record data in a frequency table |recommended to read the Teachers Guide before |

| |situations with a small number of equally |6.S.4 Determine and justify the most appropriate graph to display a given set|embarking on the unit. |

| |likely outcomes |of data | |

| |Compute the probability of independent events|(pictograph, bar graph, line graph, histogram, or circle graph) | |

| |Develop strategies for finding experimental |6.S.8 Justify predictions made from data |CMP unit: How Likely Is It? |

| |and theoretical probability |6.S.9 List possible outcomes for compound events | |

| |Use graphs and tallies to summarize and |6.S.10 Determine the probability of dependent events |Investigation 1: 1.1, 1.2 |

| |display data |6.S. 11 Determine the number of possible outcomes for a compound event by | |

| |Interpret statements of probability |using the fundamental counting principle and use this to determine the |Investigation 2: 2.1, 2.2 |

| |Observe that experimental probability should|probabilities of events when the outcomes have equal probability | |

| |become closer to the theoretical probability |7.S.6 Read and interpret data represented graphically (pictograph, bar graph,|Investigation 3: 3.1 |

| |as more trials are completed |histogram, line graph, double line/bar graphs, or circle graph.) | |

| |Develop an understanding of randomness (all |7.S.8 Interpret data to provide the basis for predictions and to establish |Investigation 4: 4.1,4.2,4.3 |

| |possible outcomes are equally likely) |experimental probabilities | |

| |Extension |7.S.10 Predict the outcome of experiment |Investigation 5: 5.1 |

| |Compound Events |7.S.11 Design and conduct an experiment to test predictions | |

| | |7.S.12 Compare actual results to predicted results |Investigation 6: 6.1 |

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| | | |Investigation 7: 7.1, 7.2 |

| | | |Impact Book 1 |

| | | |Chapter 10 |

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| | | |Skills Interventions Workbook Grade6 |

| | | |Skills: 76 - 81 |

Post May:

← Add, subtract, multiply & divide integers

Indicates Post-May standards

Benchmark Assessments

|Assessment # |Assessment Description |Timing of assessment |

|1 |Diagnostic Assessment |September |

|2 |December Common Test - Multiple Choice |December |

|3 |February Common Test – Multiple Choice & Extended Response |February |

|4 |Project | |

|5 |April Common Test – Extended Response |April |

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