6th Grade

Grade 6

I:  INTRODUCE     P:  PRACTICE     M: MASTER

8.1.1 By the end of the eighth grade, students will recognize natural numbers, whole numbers, integers and rational numbers.

P-M:    Compare and contrast fractions

I:          Introduce negative numbers

8.1.2 By the end of the eighth grade, students will determine equivalences among fractions, decimals and percents.

P: Describe fractional relationship of a given situation.

P: Convert decimals up to the thousandths place to fractions.

P: Convert fractions with denominators less than or equal to 50 to decimals.

8.1.3 By the end of eighth grade, students will write and use numbers in expanded exponential form and scientific notation.

P-M: Convert positive powers of 10 to standard form.

P-M: Write numbers in expanded for using powers of 10.

8.1.4 By the end of the eighth grade, students will identify and display numbers including prime and composite, factors and multiples, divisibility, powers and properties.

I-P-M:  Define a prime number.

I-P-M:  Define a composite number.

P-:       Find all the factors of numbers less than or equal to 30.

P-M:    List the first 10 multiples of whole numbers 1-12.

I-P:      State the divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10.

P:        Demonstrate an understanding of the communities’ property, associative property, and identities.

P:        Solve problems using correct order of operations.

8.2.1 By the end of the eighth grade, students will add, subtract, multiply and divide decimals and proper, improper and mixed fractions with uncommon and common denominators with and without the use of technology.

P:        Write reciprocals for all fractions and whole numbers.

P:        Add decimals in the hundred-thousandths place without technology.

I-P:      Find the LCM of 3 numbers up to 10 by listing more than 5 multiples.

I-P:      Subtract decimals in the hundred-thousandths place.

P:         Multiply proper and improper fractions with answers in the lowest terms.

I-P:      Multiply decimals in the hundred-thousandths place by decimals and whole              numbers.

P:        Add all proper fractions with answers in the lowest terms.

I-P:      Divide a decimals in the hundred thousandths place by a whole number or a               decimal.

P:        Subtract all proper fractions with answers in the lowest terms.

8.2.2 By the end of the eighth grade, students will identify the appropriate operation and do the correct calculations when solving word problems.

P:         Students will solve problems by identifying appropriate operations.(add,subtract, divide, multiply fractions and decimals in the hundred thousandths place.)

8.2.3 By the end of the eighth grade, students will solve problems involving whole numbers, integers and rational numbers (fractions, decimals, ratios, proportions and percents) with and without the use of technology.

P:        Solve problems with whole numbers, fractions, decimals, and percents.

8.2.4 By the end of eighth grade, students will apply the order of operations to solve problems with and without the use of technology.

P:        Solve problems by applying order of operations [ +,-,x./,] with and without parentheses.

8.2.5 By the end of eighth grade, students will apply strategies of estimation when solving problems with and without the use of technology.

I-P:      Correctly round decimals to the thousandths place.

I-P:       Use compatible numbers to perform mental math.

8.3.1 By the end of eighth grade, students will select measurement tools and measure quantities for temperature, time, money, distance, angles, area, perimeter, volume, capacity and weight/mass in standard and metric units at the designated level of precision.

I:          Choose an appropriate tool and measure and length to the nearest 1/16th.

I:          Measure capacity using the appropriate customary unit (cup, pint, qt., gallon,fluid oz.)

I:          Use appropriate tools to find the perimeter of regular polygons by using a             formula in standard and metric units.

I:          Use appropriate tools to measure area of rectangles and squares in metric and standard units.

I:          Find volume of tect. prism by counting cubic inches or cm cubes.

8.3.2 By the end of eighth grade, students will convert units within measurement systems using standard and metric, given conversion factors.

I-P:      Convert various units of time (seconds, minutes, hours, days and years)

I-P:      Convert customary weights (Ounces, pounds, tons)

I-P:      Convert metric mass (grams, kilograms, milligrams)

I-P:      Convert customary capacity units (cups, pints, qts, gallons)

I-P:      Convert customary units of length (meters, feet, yards)

I-P:      Convert metric units of length (mm, cm, m)

8.4.1 By the end of eighth grade, students will identify, describe, compare and classify 2 and 3 dimensional geometric figures(plane and figures like polygons) and (circles and solid figures like prisms, pyramids, cones, spheres and cylinders) and lines, line segments, rays,

angles, parallel and perpendicular lines.

P-M:    Classify plane figures as polygons and non-polygons.

P:        Classify pane figures as regular polygons.

I:          Classify 3-D solid figures into groups using at least 2 attributes.

P:        Compare the similarities and differences of lines.

8.4.2 By the end of eighth grade, students will use geometric properties, the Pythagorean theorem and the relationships of congruence, similarity and symmetry.

I:          Apply the properties of line symmetry to plane figures.

8.4.3 By the end of eighth grade, students will use formulas to solve problems involving perimeter and area of square, rectangle, parallelogram, trapezoid and triangle and area and circumference of circles.

I:  Calculate using formulas:  perimeter of rectangles, perimeter of squares

I:  Demonstrate an understanding of radius and diameter of a circle.

I:  Find the circumference of a circle without a formula.

8.4.4 By the end of eighth grade, students will solve problems given formulas for volume and surface area of rectangular prisms, cylinders and cones.

I:          Demonstrate an understanding of surface area without formulas.

8.4.5 By the end of eighth grade, students will apply transformations to 2 and 3 dimensional geometric figures.

I:          Demonstrate an understanding of turns of 90 degrees incementry.

8.4.6 By the end of eighth grade, students will use geometric terms and representations to describe the physical world.

I:          Draw geometric figures to solve real-world problems involving area and

perimeter of squares and rectangles.

8.5.1 By the end of eighth grade, students will collect, construct, and interpret data displays and compute mean, median and mode.

I-P:      Collect, interpret, and display data in a line graph, bar graph and pie graph.

I:          Compute mean, median, and mode.

8.5.2 By the end of eighth grade, students will read and interpret tables, charts and graphs to make comparisons and predictions.

P:        Read and interpret tables, charts, and graphs to make comparisons.

8.5.3 By the end of eighth grade, students will conduct experiments or simulations to demonstrate theoretical probability and relative frequency.

I-P:      Write the results of a given probability activity as decimals, percents, and fractions.

8.5.4 By the end of eighth grade, students will identify statistical methods and probability for making decisions.

I-P:      Recognize and use appropriate charts and graphs to demonstrate statistical methods and probability for decision-making.

8.6.1 By the end of eighth grade, students will demonstrate knowledge and use of the one and two dimensional coordinate systems.

 I-P-M: Draw a number line to locate integers

I:           Locate ordered pairs on the coordinate system.

8.6.2 By the end of eighth grade, students will apply algebraic concepts and operations to solve linear equations and word problems.

I:  Solve one variable equations using multiplication or division.

8.6.3 By the end of eighth grade, students will describe and represent relations, using tables, graphs and rules.

Instead of input/output tables use X and Y charts.

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