Prentice Hall Mathematics Course Correlated to: Archdiocese of Chicago (Illinois) Mathematics Curriculum Frameworks (2004) Grades 6-12

Transcription

1 Archdiocese of Chicago (Illinois) Mathematics Curriculum Frameworks (2004) Grades 6-12 Goal Outcome Outcome Statement Priority Code Chapter Topic Represent place values from millionths through billions using powers of ten. (6A) 2, 3 powers of Compare and order fractions and decimals efficiently and find their approximate position on a number line. (6A) 3, 4, 10 order fractions Compare and order fractions and decimals efficiently and find their approximate position on a number line. (6A) 1, 2, 3 order decimals Write prime factorization of numbers. (6B) 3, 5, 6 prime factorization Determine the least common multiple (LCM) and the greatest common factor (GCF) of a set of numbers. (6B) 3, 4 LCM Determine the least common multiple (LCM) and the greatest common factor (GCF) of a set of numbers. (6B) 3, 5 GCF Demonstrate the meaning of multiplication and division of fractions including multiplication of 5, 6, 7, 11 reciprocals. (6B) fraction Demonstrate the meaning of multiplication and division of fractions including reciprocals. (6B) 5, 6 division of fractions Simplify simple arithmetic expressions with rational numbers using the field properties and the order of operations. (6B) 1, 2, 9 Order of operations Simplify simple arithmetic expressions with rational numbers using the field properties and the order of operations. (6B) 1, 2 field properties 6, 7, 9 problems with fractions 6, 7, 9 problems decimals problems with whole 6, 7, 9 numbers Solve multi-step number sentences and word problems with rational numbers using the four basic operations. (6B) 6, 7, 9, 10 solve word problems Select and use appropriate operations, methods, and tools to compute or estimate using whole numbers with natural number exponents. (6C) 1, 2, 10, 11 estimate Solve proportions and word problems using percents. (6D) 6, 7, 9, 11 properties Solve proportions and word problems using percents. (6D) 6, 8, 9, 11 word problems 6 greater than less than 1 6 compute mentally % 6 define percents Create and explain a pattern that shows a constant ratio. (6D) 2, 6 constant ratio Recognize and use the inverse relationships of addition and subtraction, multiplication and division, to simplify computations and solve problems. (6B) 2 inverse relationships Recognize and use the inverse relationships of addition and subtraction, multiplication and division, to simplify computations and solve problems. (6B) 5, 6, 7 simplify computations Determine equivalent ratios. (6D) 3, 6 equivalent ratios Represent, order, compare, and graph integers. (6A) 10 graph integers Represent, order, compare, and graph integers. (6A) 10, 12 compare integers Represent, order, compare, and graph integers. (6A) 10 order integers Represent, order, compare, and graph integers. (6A) 10 represent integers 1

2 Analyze situations to determine whether ratios are appropriate to solve ratios to solve Significant 3, 6 problems. (6D) problems Represent any large number using scientific notation. (6A) Significant 3 scientific notation Demonstrate and describe the effects of multiplying or dividing by a fraction multiplying by a Significant 5, 6, 7, 11 less than or greater than one. (6B) fraction Demonstrate and describe the effects of multiplying or dividing by a fraction less than or greater than one. (6B) Significant 5, 6 dividing by a fraction Represent repeated factors using exponents. (6A) Useful 1, 3, 5 repeated factors 4, 5, 10 time 3 estimate distance 5, 9 estimate weight 4, 7, 10 temperature 9 area of trapezoids 9 area of triangles 9, 10 parallelograms 9, 10 formulas for trapezoids formulas for 9, 10 parallelograms 9, 10 formulas for triangles Develop and use the formula for determining the volume of rectangular and triangular prisms. 9 volume of rectangle Develop and use the formula for determining the volume of rectangular and volume of triangular 9 triangular prisms. prism Develop and use the formula for determining the circumference and area of a circumference of a 9, 10 circle. circle Develop and use the formula for determining the circumference and area of a circle. 9, 10, 12 area of a circle Measure with a greater degree of accuracy, any angle using a protractor or angle measure with angle 3 ruler. (7A) rule Measure with a greater degree of accuracy, any angle using a protractor or angle measure with 8 ruler. (7A) protractor Read and interpret scale on a map or scale drawing and use it to answer questions about actual measurement. 6 scale on a map Read and interpret scale on a map or scale drawing and use it to answer questions about actual measurement. 6 scale drawing Investigate the history of the U.S. customary and metric systems of measurement. (7A) metric system Investigate the history of the U.S. customary and metric systems of measurement. (7A) Useful 5, 8, 9 customary system Useful 9 volume of rectangle volume of triangular prism rectangular prism 2

3 triangular prisms Calculate the a cube, rectangular prism, and triangular prism. surface area rectangular prism Calculate the a cube, rectangular prism, and triangular prism. a cube Calculate the a cube, rectangular prism, and triangular prism. triangular prisms Investigate, extend, and describe arithmetic and geometric sequences of numbers whether presented in numeric or pictorial form. (8A) 7 geometric sequences Investigate, extend, and describe arithmetic and geometric sequences of numbers whether presented in numeric or pictorial form. (8A) 2, 7 arithmetic sequences Evaluate algebraic expressions for given values. (8A) 2, 3, 7 algebraic expressions Express properties of numbers and operations using variables (ex, the commutative property id m+n=n+m) (8A) 1, 2, 3, 6 properties of numbers Graph simple inequalities on a number line. (8B) 12 graph inequalities Create a table of values that satisfy a simple linear equation and plot the points. (8B) 2 create a table Create a table of values that satisfy a simple linear equation and plot the points. (8B) 7, 8, 10 line graphs Describe verbally, symbolically, and graphically, a simple relationship presented by a set of ordered pairs of numbers. (8B) 10 ordered pairs Identify and provide examples of the identity property of addition and multiplication. (8C) 1, 2 property of addition Identify and provide examples of the identity property of addition and property of 1, 2 multiplication. (8C) multiplication Create, model, and solve algebraic equations using concrete materials. (8D) 2, 3, 4, 5, 8, 12 algebraic equations Simplify algebraic expressions involving like terms. (8A) Significant 2, 3, 7 simplify algebraic expressions Identify and provide examples of inverse operations. (8C) Significant 2 inverse operations Significant 1, 2 commutative properties Significant 1, 2 associative properties Significant 2, 3 distributive properties Solve linear equations, including direct variation, with whole number coefficients and solutions using algebraic or graphical representations. (8D) Significant 10 linear equations Explain why division by zero in undefined. (8C) Useful 10 division by zero Describe sizes, positions, and orientations of shapes under transformations, including dilations. (9A) 8, 12 transformations Describe sizes, positions, and orientations of shapes under transformations, including dilations. (9A) 8 dilations 9 pi circumference of a 9, 10 circle 9, 10, 12 diameter 9, 10, 12 radius Make, test, and justify various quadrilateral and triangle 8, 11 relationships, including the triangle inequality. (9C) quadrilaterals Make, test, and justify various quadrilateral and triangle 8, 9, 10, 12 relationships, including the triangle inequality. (9C) triangles 3

4 Justify that the sum of the angles of a triangle is 180 degrees. (9C) 8 sum of angles 8 translations 8, 10, 12 reflection 8 rotations 8, 12 transformations 8 congruence Make and test mathematical properties and relationships and 1, 2, 6 develop logical arguments to justify conclusions. (9C) properties Plot and read ordered pairs of numbers in all four quadrants. (9A) 10 ordered pairs Analyze quadrilaterals for defining characteristics. (9B) 8 quadrilaterals bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8, 10 equal segments angle and segment bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8 bisectors bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8 perpendicular lines bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8 hexagon bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8 compass bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 8 straightedge/mira bisectors, or perpendicular lines, inscribing a hexagon in a circle) with a compass and Significant 9 circle Create a three-dimensional object from any two-dimensional representation of the object, including multiple views, nets, or technological representations. (9B) Significant 9 three- dimensional 8 double line graphs 8 double bar graph 7, 8, 10 stem and leaf plots 7, 11 draw conclusions 11 predict 7 read graph 7 interpret graph 7, 11 infer graphs 7, 11 evaluate data 1, 7 maximum value 4

5 1, 7 minimum value 7, 10 mode 7, 10 median 7, 10 mean Select an appropriate graph format to display given data. (10A) Significant 7, 8, 12 graph to display data Design investigations to address a question and consider how data-collection data collections Useful 7, 11 methods affect the nature of a data set. (10B) methods Propose and justify conclusions and predictions that are based on data, and justify conclusions, Useful 11 design studies to further investigate the conclusions of predictions. (10B) predictions 5