BJU Press Course Outline Math Grade 6 (3rd edition) Chapter Content and Objectives Time Chapter 1: Students will: demonstrate an understanding of place value, decimal place value, and the inverse relationship between addition and subtraction express numbers in standard, word, and expanded form, and in expanded form with multiplication identify the value of digits in a number compare numbers using <, >, and = round numbers and decimals to the place of greatest value or to a given place apply addition strategies for mental math add and subtract whole numbers and decimals estimate sums by rounding or using frontend estimation solve addition and subtraction word problems apply the Zero Principle of Subtraction check subtraction problems using addition and addition problems using subtraction express decimals in standard, word, fraction, and expanded form and expanded form with multiplication compare and order decimals and positive and negative numbers apply addition properties to decimals: Commutative, Identity, and Associative properties estimate sums and differences use a part-whole model to solve addition and subtraction word problems 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Teacher’s Edition Pages 4-25 Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Student Worktext Pages 2-27 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Christian behavior as showing God’s love to others Man created in God’s image Fall of man God’s provision for man’s sin Math Grade 6 (3rd edition) Chapter Content and Objectives write equations for word problems solve multi-step word problems identify the number that is 1 more or less plot and add positive and negative numbers on a number line read and write Roman numerals complete sequences of Roman numerals use logic to identify number patterns use patterns to solve problems Practice and Review Objectives: review addition, subtraction, multiplication, and division facts identify place value read and interpret bar and line graphs solve addition and subtraction word problems order decimals add and subtract decimals review the part-whole model round to the greatest place to estimate a sum or difference order and compare positive and negative numbers add, subtract, multiply, and divide whole numbers solve equations with variables determine the perimeter and area of polygons add decimals identify the mathematical expression for a word phrase identify the fraction represented by a picture or number line measure to the nearest inch or half-inch identify the standard form of a whole number or a decimal written in expanded form Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 2: Multiply by a Whole Number Students will: demonstrate an understanding of multiplication and the terms factor, product, and multiple write mathematical equations for word phrases solve multiplication equations with a multiplication dot, parentheses, or variables identify prime and composite numbers identify the GCF and the LCM of a pair of numbers apply properties of multiplication to numbers and variables: Commutative, Associative, Identity, and Zero properties multiply multiples of 10 apply the Commutative and Associative Properties and the Distributive Property of Multiplication over Addition to multiply factors that are multiples of 10 identify the applied addition or multiplication property develop an understanding of exponents, squares, and finding perfect squares and the square root of a perfect square write numbers in expanded form with multiplication using exponents multiply whole numbers and decimals by 1and 2-digit mulitpliers estimate products by rounding to the place of greatest value and by front-end estimation solve multiplication word problems solve decimal word problems, including money problems solve multi-step word problems multiply a decimal by a power of 10 Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 30-47 Student Worktext Pages 28-49 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s use of God’s resources Goal setting Math Grade 6 (3rd edition) Chapter Content and Objectives multiply by 3-digit numbers determine the number of partial products apply strategies to multiply mentally list the first 20 perfect squares and their square roots use the Pythagorean Theorem to find the measurement of the hypotenuse of a right triangle Practice and Review Objectives: identify place value compare numbers round to the greatest place add and subtract decimals and whole numbers solve related addition and multiplication equations round to the greatest place to estimate sums and differences write numbers in standard and word form order decimals round decimals to the greatest place compare, add, and plot positive and negative numbers complete multiplication and division facts review the stem-and-leaf plot Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 3: Divide by a Whole Number Students will: demonstrate an understanding of division, the terms dividend, divisor, and quotient, and the inverse relationship between multiplication and division divide by 1-digit divisors to find 2- or 3digit quotients solve division word problems interpret remainders check division problems using multiplication recognize numbers divisible by 2-6, 9-10 divide multiples of 10 using mental math divide by 2-digit multiples of 10 estimate quotients divide by 2-digit divisors adjust quotients in division problems divide decimals by 1-, 2-, and 3-digit whole numbers annex zeros to rename decimals divide to find quotients less than 1 express fractions as equivalent decimals determine an average or unit rate divide by powers of 10 divide whole numbers by 1-, 2-, and 3-digit divisors use the Order of Operations to simplify an expression complete an expression to make an equation true solve multi-step problems Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 52-71 Student Worktext Pages 50-73 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s God-given dominion God’s use of creation for His purposes Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: review multiplication terms and properties multiply by 3-digit multipliers review fraction terms compare fractions identify lines, line segments, rays, and parallel, perpendicular, and intersecting lines review perimeter, area, and volume measure to the nearest inch and half-inch review customary conversions read and interpret line graphs determine the range use number sense to complete word problems add and subtract 2- and 3-digit numbers multiply and divide by 2- and 3-digit multipliers and divisors determine the exponent form for repeated multiplication equations determine the GCF and LCM of 2 numbers identify the multiplication expression for an exponent form, an array, a picture, or a partwhole model identify the value of a digit in a number determine the standard form of a decimal written in word form compare and order whole numbers and decimals identify the decimals form of fractions Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 4: Fraction Theory Students will: determine the GCF and LCM of two or more numbers by listing the factors or multiples, by creating and analyzing a Venn diagram, and by constructing factor trees to find and evaluate prime factorizations apply the GCF and LCM to problemsolving situations write prime factorizations using exponential notation demonstrate an understanding of fractions write fractions to name parts of a whole, points on a number line, and parts of sets draw models of whole shapes, whole sets, and number lines to represent fractions identify fractions equivalent to 1 complete fraction models rename mixed numbers, improper fractions, and whole numbers estimate the value of improper fractions draw models to solve word problems apply strategies to rename fractions to higher, lower, and lowest terms use cancellation to rename fractions to lowest terms write an inequality to express unequal relationships apply fraction number sense to compare and order fractions compare and order unlike fractions by renaming to fractions with common denominators, by cross-multiplying, and by renaming as decimals determine equivalent fractions using the LCM Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 76-95 Student Worktext Pages 74-97 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s knowledge and wise application of God’s Word to help his fellow man Math Grade 6 (3rd edition) Chapter Content and Objectives compare and order mixed numbers and improper fractions use fraction models to represent percents rename fractions and percents use a circle graph to solve problems and make a circle graph to communicate data Practice and Review Objectives: identify prime and composite numbers write numbers in exponent form multiply by 3-digit multipliers review the divisibility rules, the Order of Operations, and the long division process review fractions identify right triangles, radii and diameters, and shapes use number sense to solve problems identify positive and negative numbers review perimeter and area read and interpret bar graphs add positive and negative numbers using a number line determine the equation represented by a part-whole model or array recognize the expanded and standard forms of exponents apply multiplication properties determine the average identify all factors of a number solve word problems read and interpret charts, stem-and-leaf plots, and double line graphs Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 5: Add & Subtract Fractions Students will: identify fractions equivalent to 1 and ½ write an inequality to express unequal relationships estimate the sum or difference of mixed numbers and fractions by rounding to the nearest whole number or ½ add and subtract fractions and mixed numbers with like and unlike denominators rename improper fractions as mixed numbers simplify fractions by renaming to lowest terms solve fraction word problems apply addition properties to fractions: Identity, Commutative, and Associative properties apply the Identity Property of Multiplication to rename fractions to higher terms multiply unlike denominators to find a common denominator determine the LCD by listing multiples, by creating and analyzing a Venn diagram, and by constructing factor trees to evaluate the prime factorizations write prime factorizations using exponential notation compare fractions and mixed numbers round fractions to 0, ½, or 1 solve problems with 3 addends solve word problems using the LCD use the guess-and-check strategy to solve problems Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Teacher’s Edition Pages 100-115 Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Student Worktext Pages 98-117 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition God’s perfect design God’s knowledge of each individual Man’s responsibility to glorify God Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: rename improper fractions and mixed numbers write fractions in lowest terms identify the GCF review the Order of Operations add with 3-, 4-, and 6-digit numbers subtract with 2-, 3-, and 4-digit numbers multiply and divide identify shapes, faces, edges, vertexes, and curved surfaces identify place value add, subtract, multiply, and divide decimals review measurement and customary conversions identify the best unit of measurement identify addition and multiplication properties demonstrate an understanding of part-whole models use fractions to show probability read and interpret bar graphs identify the mathematical expression for a given word phrase identify multiples of a given number identify prime and composite numbers Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 6: Plane Figure Geometry Students will: identify, name, and draw points, lines, and planes distinguish between collinear and noncollinear points identify the location of a point on a coordinate plane by naming the coordinates and quadrant graph points on a coordinate plane recognize representations of points, lines, and planes in everyday life graph points on a coordinate plane to form lines and intersecting, perpendicular, and parallel lines identify intersecting, perpendicular, and parallel lines use variables to represent coordinates on a coordinate plane complete an input/output table relate lines to real-life situations identify and name rays, angles, line segments classify and recognize angles: right, acute, obtuse, and straight use a protractor to measure and draw angles, angles in a triangle, and angles in a quadrilateral relate geometry to everyday life develop an understanding of supplementary and complementary angles find the unknown measure of an angle in a pair of supplementary angles, a pair of complementary angles, in triangles, and in quadrilaterals demonstrate an understanding of regular and irregular polygons Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 120-145 Student Worktext Pages 118-147 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s demonstration of God’s love Man as steward of God’s creation Math Grade 6 (3rd edition) Chapter Content and Objectives identify the number of sides and interior angles in polygons graph points to form polygons develop the understanding that the sum of the measures of the angles in a triangle equals 180°, and that the sum of the angles in a quadrilateral equals 360° classify triangles by their angles (right, acute, obtuse) and sides (equilateral, isosceles, scalene) distinguish between regular and irregular quadrilaterals develop an understanding of the classification of quadrilaterals identify congruent and similar polygons identify corresponding angles and line segments write a ratio for corresponding sides in a pair of polygons draw congruent and similar polygons develop an understanding of transformations: translation, rotation, reflection identify a transformation draw a transformed figure identify symmetrical figures draw lines of symmetry on a figure Practice and Review Objectives: solve word problems read and interpret circle graphs connect fractions with percents identify place value and order numbers round to the greatest place write the equivalent unit of time and measurement Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives read a calendar review weight and capacity add and subtract fractions and mixed numbers review perimeter, area, and volume add positive and negative numbers use number sense with fractions compare fractions and integers solve word problems with decimals use a chart to find the average, range, and median read and interpret line graphs multiply and divide decimals by a multiple of 10 identify kinds of angles and lines find the unknown measure of an angle in a triangle multiply by 2-digit multipliers identify prime numbers determine a common factor find the missing subtrahend in a subtraction equation add decimals and whole numbers use a chart to answer questions and solve problems Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 7: Multiply Fractions & Decimals Students will: multiply whole numbers and fractions, mixed numbers, and decimals by decimals multiply to find fractions of whole numbers and fractions rename whole numbers as an improper fractions write and solve equations for multiplication word problems use cancellation when multiplying fractions and mixed numbers identify the reciprocal of a fraction rename improper fractions and mixed numbers apply the Distributive Property of Multiplication over Addition when multiplying mixed numbers and decimals estimate products of mixed numbers and fractions demonstrate an understanding of the relationship between decimals and fractions estimate a decimal product by rounding to the nearest whole number or to the place of greatest value use mental math to multiply a decimal and a power of 10 annex zeros in the product multiply money by a decimals develop an understanding of our infinite number system identify fractions and decimals that come between two numbers solve multi-step word problems Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 150-165 Student Worktext Pages 148-167 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s responsibility for his actions Honesty Dependability Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: review addition, subtraction, multiplication, and division facts complete input/output tables list factors of numbers to find the GCF and LCM rename fractions to lowest terms add and subtract fractions graph points on a coordinate graph choose the best unit of measure review Celsius temperature solve word problems write ratios write fractions in decimal form and percents in fraction form connect fractions with percents find the unknown measure of an angle in a quadrilateral identify the parts of a circle classify triangles: equilateral, isosceles, scalene solve money word problems add and subtract mixed numbers identify the values of a digit in a decimal multiply fractions and decimals read and interpret double line graphs Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 8: Divide Fractions Students will: demonstrate an understanding of dividing whole numbers by fractions, dividing fractions by fractions, dividing fractions to find quotients with remainders, dividing mixed numbers, and of the Order of Operations divide mixed numbers by fractions use a number line or draw a diagram to solve division equations with fractions and mixed numbers check division problems with multiplication write and solve equations for word problems identify the reciprocal of a fraction divide by multiplying by the reciprocal of the divisor divide fractions by whole numbers write related multiplication and division equations for division problems with fractions solve fraction word problems write and solve multi-step equations for multi-step word problems apply mathematical properties to evaluate expressions with fractions use the Order of Operations to evaluate expressions and to write and solve multistep equations for multi-step word problems substitute a given value for a variable in an expression determine whether a multi-step problem has too much or too little information Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 170-187 Student Worktext Pages 168-189 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s use of God’s resources Man’s demonstration of God’s love Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: classify triangles find the measure of the unknown angle estimate the product and quotient add and subtract fractions solve mathematical expressions multiply fractions and mixed numbers using cancellation and the Distributive Property solve fraction, decimal, measurement, and temperature word problems identify quadrilaterals chart using mass read and interpret line graphs and double line graphs add, subtract, multiply, and divide with decimals add integers complete number sequences determine equivalent expressions evaluate expressions with more than one operation Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 9: Divide Decimals Students will: divide decimals by 1- and 2-digit whole numbers estimate the quotient of a decimal division problem check division problems using multiplication annex zeros to rename decimals divide decimals by powers of 10 using mental math divide whole numbers by whole numbers to find decimal fractions in the quotient solve decimal and money word problems develop an understanding of terminating and repeating decimals recognize repeating decimals in the quotient write equations for word problems rename fractions as decimals by renaming the denominator as a power of 10 rename fractions as decimals using division identify quotients as repeating, nonrepeating, or non-terminating decimals compare decimals and fractions divide whole numbers by decimals and decimals by decimals complete an input/output table develop an understanding of real numbers apply addition and multiplication properties to real numbers Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Teacher’s Edition Pages 192-209 Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Student Worktext Pages 190-211 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Honesty Purity of a Christian’s heart Christians as faithful workers Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: partition figures to find the quotient divide fractions multiply by the reciprocal review the Order of Operations and the partwhole model solve for n find the unknown measure of an angle compare, add, subtract, multiply, and divide decimals solve decimal word problems review perimeter, area, and volume solve volume and perimeter word problems identify congruent and similar shapes review percent identify the probability: certain, equally likely, impossible read and interpret pictographs and line graphs add, subtract, multiply, and divide money solve word problems read a Venn diagram demonstrate an understanding of the parts of a circle find the perimeter of a square identify a triangle according to its angles Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 10: Equations Students will: write numerical or algebraic expressions for word phrases demonstrate an understanding of algebraic expressions with more than one operation evaluate expressions using substitution and the Order of Operations demonstrate an understanding of equations write equations with 2 equal expressions determine the unknown in word problems and write it as a variable in an equation evaluate and relate expressions using <, >, and = demonstrate an understanding of the Commutative and Associative Properties of Addition and of Multiplication use manipulatives and apply the Commutative and Associative Properties to simplify algebraic expressions solve equations using inverse operations check addition, subtraction, multiplication, and division equations using substitution write equations with variables to solve word problems demonstrate an understanding of inequalities picture inequalities on a number line determine whether a given number is a solution to an inequality demonstrate an understanding of the Distributive Property of Multiplication over Addition and apply it to find equivalent expressions Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 214-233 Student Worktext Pages 212-235 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s responsibility for his actions God’s Word as the only true source of guidance Math Grade 6 (3rd edition) Chapter Content and Objectives calculate distance traveled given the rate and time, rate of travel given the distance and time, and time traveled given the distance and rate complete tables and create line graphs relating to the formula d = r * t Practice and Review Objectives: use mental math to solve problems rename fractions as decimals add, subtract, multiply, and divide decimals and fractions make a factor tree find the prime factorization in exponent form find the GCF make a Venn diagram multiply and divide using mental math round to the nearest hundredth determine the place value of whole numbers review volume, area, and perimeter divide fractions and whole numbers solve measurement and fraction word problems identify lines and points classify polygons classify triangles by the length of their sides draw a circle graph read and interpret bar graphs identify plane figures when given the characteristics find missing factors identify the reciprocal of a fraction determine the value of an expression determine the lowest terms of fractions and mixed numbers Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 11: Perimeter & Area Students will: calculate the perimeter of polygons using a formula calculate the unknown length of a side of a polygon solve an algebraic expression to find the perimeter of a rectangle develop an understanding of the relationship between the diameter and circumference of a circle calculate the circumference of a circle using a formula and the diameter given the circumference calculate the area of rectangles, squares, parallelograms, triangles, and circles using a formula calculate the area of a complex figure calculate the unknown side (length or width) of a rectangle or square calculate the unknown height or base of a triangle estimate the area of a circle name the 3-dimensional figure that can be formed from a net calculate the surface area of rectangular, square, and triangular prisms and cylinders using formulas construct triangular prisms construct cylinder nets recognize that perimeter can vary for a fixed area calculate the area and perimeter of a rectangle create a basic floor plan from a fixed area relate circumference, area, surface area, and geometry to real-life situations Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 238-257 Student Worktext Pages 236-259 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition God’s loving care God’s provision for man Man’s use of his Godgiven dominion and resources Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: write word phrases as numeric or algebraic expressions compare expressions add, subtract, multiply, and divide money, whole numbers, decimals, and fractions apply properties to find an unknown simplify expressions solve using the inverse operation read and interpret circle and line graphs, pictographs, and Venn diagrams solve money, percent, fraction, and decimal word problems identify prime and composite numbers use the guess-and-check strategy to solve problems identify equivalent expressions estimate products and sums identify all factors of a number determine the value of a variable. Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 12: Volume Students will: develop an understanding of volume and the volume of a cube find the volume of a rectangular prism, cube, and irregular prism using a model calculate the volume of a cube, triangular prism, and cylinder using formulas calculate the unknown measurement of a rectangular prism relate volume to real-life situations recognize that surface area can vary for a fixed volume and volume for a fixed lateral surface area calculate the volume and lateral surface area of a rectangular prism and cylinder using formulas Practice and Review Objectives: simplify expressions write word phrases as algebraic expressions solve for the variable write the equivalent measure compare and choose the best unit of measurement read and interpret line graphs and plots add, subtract, multiply, and divide whole numbers, decimals, and fractions rename fractions as decimals identify the ordered pair for a point on a coordinate plane determine the radius and diameter of a circle identify the formula used to find the area of a circle identify geometric figures: parallelogram, parallel and perpendicular lines classify angles as acute, obtuse, or right Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 262-273 Student Worktext Pages 260-275 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition God’s orderly design God’s creation for man’s enjoyment Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 13: Ratios, Proportions, & Percents Students will: write ratios in 3 forms: word, ratio, and fraction form write ratios to describe part-to-part, part-towhole, and whole-to-part comparisons find equivalent ratios determine the unit rate find an equivalent ratio using the unit rate use ratios to represent real-life situations and to solve problems complete and make ratio tables solve problems using ratio tables develop an understanding of proportions using models, proportions in similar figures, and percent using models determine whether 2 ratios are proportional solve for missing terms in proportions find the unknown measure in similar figures using proportions or indirect measurement find actual measurement using a scale and scale drawing, map, or model determine the unknown measure on a scale drawing given the scale and actual measurement solve word problems using ratios and percent word problems using proportions express percents as ratios, decimals, and fractions in lowest terms, and decimals and fractions as percents compare percents to decimals and fractions using <, >, and = find a percent of a number and the unknown whole in a percent problem using an equation, model, and proportion calculate distance given the rate of speed and time, the rate given distance and time, and the time given distance and rate Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 278-299 Student Worktext Pages 276-301 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man as steward of God’s creation Man’s use of wisdom to serve his fellow man Math Grade 6 (3rd edition) Chapter Content and Objectives rename to calculate distance, rate of speed, or time find equivalent rates using proportions Practice and Review Objectives: review perimeter, area, and volume solve word problems compare decimals solve money word problems write equations for word phrases multiply and divide fractions and mixed numbers rename to lowest terms classify a triangle by its angles or sides find the unknown measure of an angle in a polygon find the measure of a complementary or supplementary angle identify the diameter, chord, and radius of a circle write fractions as decimals complete division equations with repeating digits use given values to evaluate expressions write the time indicate the temperature in °F write the equivalent measurement plot ordered pairs on a coordinate plane round to the nearest tenth read and interpret circle graphs simplify square roots, exponents, and expressions solve for missing terms in proportions calculate the area of a complex figure, the circumference of a circle, and the volume of a cylinder identify the equation for the area of a rectangular prism and a triangle Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 14: Measurement Students will: demonstrate an understanding of linear units (inch, foot, yard, and mile) and units of weight (pound, ounce, and ton) and capacity (fluid ounce, cup, pint, quart, and gallon) estimate measurements using bench marks measure to the nearest inch, half-inch, fourth-inch, eighth-inch, and sixteenth-inch convert linear, weight, and capacity measurements to smaller and larger units find fractions of measurement units add and subtract linear, weight, and capacity measurements read a spring scale develop an understanding of the metric system, of metric linear units (kilometer, meter, centimeter, and millimeter), and of the metric units of capacity (liter and milliliter) and mass (gram, kilogram, and milligram) estimate and measure to the nearest meter, centimeter, and millimeter determine the appropriate linear unit convert metric linear, capacity, and mass measurements to smaller and larger units compare metric linear measurements using < and > add and subtract metric linear, capacity, and mass measurements add, subtract, multiply, and divide measurements solve measurement word problems recognize degree as a measuring unit for temperature and that °C represents degrees Celsius and °F represents degrees Fahrenheit Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 304-329 Student Worktext Pages 302-331 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Interrelationship of the parts of creation Man as steward of God’s creation Math Grade 6 (3rd edition) Chapter Content and Objectives identify standard Celsius and Fahrenheit temperatures determine the more reasonable temperature read and set Celsius and Fahrenheit thermometers determine the amount of increase or decrease between 2 temperatures measure and convert temperatures recognize approximate equivalencies between customary and metric units of measurement compare and estimate conversions between customary and metric measurements identify equivalent units of time tell and write time to the minute differentiate between A.M. and P.M. develop an understanding of a 24-hour clock convert units of time to smaller and larger units find fractions of units of time add and subtract time demonstrate an understanding of world time zones determine the elapsed time estimate customary and metric measurements of objects determine mileage using a map scale write an equivalency as a unit multiplier determine the missing term in a unit multiplier convert measurements using a unit mulitplier Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: write ratios as fractions in lowest terms and fractions as decimals write ratios from given data make a ratio table compare fractions find the unit rate identify equivalent ratios write numbers in decimal, percent, and fraction forms find the percent of a number find the volume of a prism and cylinder solve volume, probability, and fraction word problems order, compare, and add positive and negative numbers find the average divide fractions, mixed numbers, decimals, and fractions with repeating decimal quotients plot ordered pairs on a coordinate plane read and interpret line graphs round numbers to a given place estimate a quotient or sum simplify expressions using substitution determine the value of a variable in an expression or equation identify common factors and multiples of 2 numbers demonstrate an understanding of a circle: diameter, radius, and chord Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 15: Statistics Students will: complete frequency tables using given data determine the range, median, and mode and calculate the mean for a set of data read and interpret double bar graphs, double line graphs, stem-and-leaf plots, line plots, histograms, and box-and-whisker plots complete stem-and-leaf plots record data on line plots demonstrate an understanding of clusters, gaps, and outliers determine the effects of an outlier complete frequency tables and construct histograms using given data develop an understanding of box-andwhisker plots determine the lower, middle, and upper quartiles of a set of data construct box-and-whisker plots using given data choose a graph to display a set of data Practice and Review Objectives: write ratios in word, ratio, and fraction form write ratios as fractions in lowest terms determine equivalent ratios and measurements add, subtract, multiply, and divide ratios identify similar figures write proportions to find unknown measures solve proportion and fraction word problems Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 334-353 Student Worktext Pages 332-355 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Giving God the best Man as a steward of time Math Grade 6 (3rd edition) Chapter Content and Objectives write percents as decimals and fractions in lowest terms write ratios and decimals as percents complete a frequency table/tally chart convert, add, and subtract measurements read and interpret circle graphs write improper fractions as mixed or whole numbers add and subtract fractions and mixed numbers add positive and negative numbers solve for the variable add, subtract, multiply, and divide whole numbers, decimals, and fractions identify the value of digits in decimals round to estimate differences measure lines to the nearest sixteenth-inch identify a chord and diameter in a circle find the unknown measure of an angle in a pair of supplementary angles and in a triangle calculate the volume of cylinders Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 16: Probability Students will: develop an understanding of probability write probabilities as fractions, decimals, and percents find the theoretical probability of an event and its complement find the sample space for and the probability of an event make a tree diagram to list the sample space for an event determine the number of possible outcomes using the Multiplication Counting Principle predict the results of an experiment using the theoretical probability of an event conduct a probability experiment find the experimental probability of an event create a line plot for the results of an experiment determine whether a game is fair or unfair using probability make predictions using probability differentiate between independent and dependent compound events find the probability of compound events using a formula Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Teacher’s Edition Pages 358-371 Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Student Worktext Pages 356-373 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man exercising dominion over the earth and its resources Man showing love to God Math Grade 6 (3rd edition) Chapter Content and Objectives Practice and Review Objectives: complete a stem-and-leaf plot find the range, mean, mode, and median for a set of data write a ratio for the picture write ratios as fractions in lowest terms compare fractions find the unknown measurement find equivalent fractions and ratios write fractions and decimals as percents find the percent of a number solve percent, measurement, and money word problems plot ordered pairs and quadrants on a coordinate plane identify the standard from of numbers written in exponent form round decimals to a given place estimate the location of fractions on a number line estimate the sum of mixed numbers classify figures as congruent identify the type of triangle determine the LCM divide fractions and whole numbers simplify expressions using the Order of Operations multiply decimals Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math Grade 6 (3rd edition) Chapter Content and Objectives Chapter 17: Integers Students will: demonstrate an understanding of integers find the absolute value of a number compare and order integers add and subtract integers using manipulatives and a number line write addition and subtraction equations for word problems demonstrate an understanding of the relationship between subtracting an integer and adding its opposite solve real-life word problems multiply and divide integers using manipulatives subtract integers by adding the opposite apply the order of operations to integers graph points on a four-quadrant coordinate plane write ordered pairs to identify points on a four-quadrant coordinate plane Practice and Review Objectives: compare and order numbers round to the greatest place write numbers in word, standard, expanded and expanded with multiplication forms add, subtract, multiply, and divide fractions and mixed numbers measure an angle using a protractor classify angles: acute, obtuse, right, straight find the diameter of a circle find the unknown measure of an angle identify a rhombus Time 60 min. per day Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping Math 6 for Christian Schools Read and discuss materials in text. Use interactive and hands-on activities outlined in Teacher’s Edition. Assign Worktext pages to provide practice. Provide activities and worksheets for reinforcement and enrichment as indicated by student’s mastery of skills. Evaluation Techniques: Teacher observation of students Class participation Worktext pages Reinforcement and enrichment worksheets Teacher’s Edition Pages 376-397 Student Worktext Pages 374-399 Student Materials Packet As specified in the Teacher’s Edition Visual Packet As specified in the Teacher’s Edition Various manipulative materials as specified in Teacher’s Edition Man’s wise use of money Chapter Content and Objectives use mental math to add, subtract, multiply, and divide write fractions as decimals, and percents as decimals and fractions in lowest terms write word phrases as algebraic expressions simplify expressions review perimeter, circumference, and area find the unit rate find the distance traveled in a given time review ratios write proportions to find equivalent ratios review experimental probability write probability as fractions and percents identify possible combinations order, compare, add, and subtract integers read and interpret double line graphs identify geometric figures find the area of a parallelogram find the surface area and volume of a rectangular prism estimate an answer solve fraction problems Time Methods, Activities, and Evaluation Books and Materials Christian Worldview Shaping