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Curriculum Guide For: Advanced M/J Mathematics 1- 7th Grade AdvancedSCHOOL BOARD OF BROWARD COUNTY, FLORIDA

Textbook: Prentice Hall Course 3

New Benchmarks Transitional Benchmarks (2005) Chapter Skill Set

MA.7.A.5.1 Express rational numbers as terminating or repeating decimals. MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.

MA.A.1.3.1 associates verbal names, written word names, and standard numerals with integers, fractions, decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios.

MA.6.A.5.2 Compare and order fractions, decimals, and percents, including finding their approximate location on a number line.

MA.A.1.3.2 understands the relative size of integers, fractions, and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios.

MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. MA.7.A.5.1 Express rational numbers as terminating or repeating decimals.

MA.A.1.3.4 understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value.

MA.7.A.3.2 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts. MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.

MA.A.2.3.1 understands and uses exponential and scientific notation.

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Chapter 1 : Integers and Algebraic Expressions

• Use order of operations• Find the absolute value of an integer• Compare and order integers• Add and subtract integers• Multiply and divide integers• Find mean, median, and mode• Use the order of operations with expressions with exponents• Identify and use properties

1.1: Algebraic Expressions and the Order of Operations1.3: Integers and Absolute Value1.4: Adding and Subtracting Integers 1.5: Multiplying and Dividing 1.6: Using Integers with Mean, Median, and Mode1.7: Powers and Exponents 1.8: Properties of Numbers

Textbook Alignment

Course Benchmark Correlation

Month

07/29/08 CORE CURRICULUM DRAFT



New Benchmarks Transitional Benchmarks (2005) Chapter Skill SetTextbook Alignment


Month

MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals MA.7.A.3.1 Use and justify the rules for adding, subtracting, multiplying, dividing and finding the absolute value of integers. MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

MA.A.3.3.1 understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers, fractions, including mixed numbers, and decimals, including the inverse relationships of positive and negative numbers.

MA.6.A.1.2 Multiply and divide fractions and decimals efficiently. MA.6.A.1.3 Solve real-world problems involving multiplication and division of fractions and decimals. MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems. MA.6.A.2.2 Interpret and compare ratios and rates.

MA.A.3.3.2 selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations.

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Chapter 2 : Equations and Inequalities

• Solving equations by adding, subtracting, multiplying or dividing• Solve two-step equations• Simplify algebraic expressions with two variables and like terms• Simplify before solving an equation• Solving equations with variables on both sides

2.1: Solving One-Step Equations2.2: Solving 2-step Equations 2.3: Simplifying Algebraic Expressions 2.4: Solving Multi-Step Equations






Month

MA.7.A.5.2 Solve non-routine problems by working backwards. MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

MA.A.3.3.3 adds, subtracts, multiplies, and divides whole numbers, decimals, and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

MA.7.A.1.3 Solve problems involving similar figures. MA.8.G.2.4 Validate and apply Pythagorean Theorem to find distances in real-world situations or between points in the coordinate plane.

MA.C.2.3.1 understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips (reflections), slides (translations), turns (rotations), and enlargements.

MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane. MA.8.A.1.3 Use tables, graphs, and models to represent, analyze, and solve real-world problems related to systems of linear equations.

MA.C.3.3.2 identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines.

3.1: Graphing Points3.8: Translations3.9: Reflections and Symmetry3.10: Rotations

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Chapter 3 : Graphing in the Coordinate Plane

• Solving equations by adding, subtracting, multiplying or dividing• Solve two-step equations• Simplify algebraic expressions with two variables and like terms• Simplify before solving an equation• Solving equations with variables on both sides

2.1: Solving One-Step Equations2.2: Solving 2-step Equations 2.3: Simplifying Algebraic Expressions 2.4: Solving Multi-Step Equations

• Identifying and graphing points n a coordinate plane• Graph and describe translations• Graph reflections and identify lines of symmetry• Graph rotations and lines of symmetry






Month

MA.7.G.4.4 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems. MA.8.G.5.1 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units tosolve problems.

MA.B.2.3.2 solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system.

MA.5.A.2.4 Determine the prime factorization of numbers.

MA.A.5.3.1 uses concepts about numbers, including primes, factors, and multiples, to build number sequences.

3.1: Graphing Points3.8: Translations3.9: Reflections and Symmetry3.10: Rotations

MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

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Chapter 4 : Real Numbers

MA.B.3.3.1 solves real-world and mathematical problems involving estimates of measurements including length, time, weight/mass, temperature, money, perimeter, area, and volume, in either customary or metric units.

• Identifying and graphing points n a coordinate plane• Graph and describe translations• Graph reflections and identify lines of symmetry• Graph rotations and lines of symmetry

• Identify prime and composite numbers to find GCF • Write fractions as decimals, and decimals as fractions• Compare and order rational numbers• Add and subtract rational numbers to solve equations• Multiply and divide rational numbers

4.1: Factors 4.2: Equivalent Forms of Rational Numbers 4.3: Comparing and Ordering Rational number4.4: Adding and Subtracting Rational Numbers4.5: Multiplying and Dividing Rational Numbers4.8: Exploring Square Roots and Irrational Numbers






Month

MA.7.A.5.1 Express rational numbers as terminating or repeating decimals. MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

MA.A.1.3.3 understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations.

MA.6.A.3.1 Write and evaluate mathematical expressions that correspond to given situations. MA.6.A.3.2 Write, solve and graph one- and two-step linear equations and inequalities. MA.6.A.3.4 Solve problems given a formula. MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.

MA.D.2.3.1 represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities.

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MA.6.A.3.3 Works backward with two-step function rules to undo expressions. MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. MA.7.A.3.4 Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context. MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data. MA.8.A.4.2 Solve and graph one- and two-step inequalities in one variable.

MA.D.2.3.2 uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities.

MA.6.S.6.1 Determine the measures of central tendency (mean, median, mode) and variability (range) for a given set of data. MA.7.S.6.2 Construct and analyze histograms, stem-and-leaf plots and circle graphs. MA.8.S.3.2 Determine and describe how changes in data values impact measures of central tendency.

MA.E.1.3.2 understands and applies the concepts of range and central tendency (mean, median, and mode).



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Chapter 5 : Applications of Proportions

• Write ratios in simplest form• Find unit rates• Solve proportions• Identify similar polygons• Find unknown lengths in similar figures• Use proportions to solve scale problems

5.1: Ratios and Rates5.4: Solving Proportions 5.5: Similar Figures and Proportions 5.7: Scale Models and Maps






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MA.7.A.5.1 Express rational numbers as terminating or repeating decimals. MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.

MA.A.1.3.1 associates verbal names, written word names, and standard numerals with integers, fractions, decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios.



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Chapter 6 : Applications with Percents

• Write ratios in simplest form• Find unit rates• Solve proportions• Identify similar polygons• Find unknown lengths in similar figures• Use proportions to solve scale problems

5.1: Ratios and Rates5.4: Solving Proportions 5.5: Similar Figures and Proportions 5.7: Scale Models and Maps

• Write fractions and decimals as percents and vice versa• Estimate percents using decimals and fractions • Use proportions to find part of a whole• Use proportions to find whole amount or a percent• Use equations to find part of a whole or a percent • Find percent of increase or decrease• Solve problems involving markup and discount

6.1: Fractions, Decimals, and % 6.2: Estimating with percents 6.3: Percents and Proportions 6.4: Percents and Equations 6.5: Percent of Change 6.6: Markup and Discount






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MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals MA.7.A.3.1 Use and justify the rules for adding, subtracting, multiplying, dividing and finding the absolute value of integers. MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

MA.A.3.3.1 understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers, fractions, including mixed numbers, and decimals, including the inverse relationships of positive and negative numbers.

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MA.6.A.1.2 Multiply and divide fractions and decimals efficiently. MA.6.A.1.3 Solve real-world problems involving multiplication and division of fractions and decimals. MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems. MA.6.A.2.2 Interpret and compare ratios and rates.

MA.A.3.3.2 selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations.



MA.6.A.5.3 Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results. MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

MA.A.4.3.1 uses estimation strategies to predict results and to check the reasonableness of results.

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MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

MA.B.3.3.1 solves real-world and mathematical problems involving estimates of measurements including length, time, weight/mass, temperature, money, perimeter, area, and volume, in either customary or metric units.







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Chapter 7 : Exponents and Powers



• Use standard form and scientific notation • Order numbers in scientific notation• Multiply powers with the same base• Multiply numbers in scientific notation• Divide powers with the same base • Use zero or negative exponents• Raise a power to a power• Raise a product to a power

7.1: Scientific Notation 7.2: Exponents and Multiplication 7.3: Exponents and Division 7.4: Power Rules






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MA.A.3.3.3 adds, subtracts, multiplies, and divides whole numbers, decimals, and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. O

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• Use adjacent angles and vertical angles• Use supplementary angles and complementary angles• Identify angles formed by parallel lines• Identify congruent parts and congruent triangles.• Classify triangles and quadrilaterals• Find the angle measures of a polygon• Find the area of polygons• Find the circumference of a circle • Find the area of a circle

Chapter 8 : Geometry

8.1: Pairs of Angles 8.2: Areas of Parallelograms and Triangles8.3: Congruent Polygons 8.5: Classifying Triangles and Quadrilaterals8.6: Angles and Polygons 8.7: Areas of Polygons 8.8: Circumference and Area of Circles 5.2: Choosing and Converting Units

• Use standard form and scientific notation • Order numbers in scientific notation• Multiply powers with the same base• Multiply numbers in scientific notation• Divide powers with the same base • Use zero or negative exponents• Raise a power to a power• Raise a product to a power

7.1: Scientific Notation 7.2: Exponents and Multiplication 7.3: Exponents and Division 7.4: Power Rules






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MA.6.A.3.4 Solve problems given a formula. MA.6.G.4.1 Understand the concept of π, know common estimates of π (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles. MA.6.G.4.2 Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies. MA.6.G.4.3 Determine a missing dimension of a plane figure or prism, given its area or volume and some of the dimensions, or determine the area or volume given the dimensions. MA.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three dimensional composite shapes.

MA.B.1.3.1 uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two-and three-dimensional shapes, including rectangular solids and cylinders.








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MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems. MA.6.A.2.2 Interpret and compare ratios and rates. MA.7.A.1.6 Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed. MA.8.G.2.1 Use similar triangles to solve problems that include height and distances.

MA.B.1.3.2 uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures.

MA.7.G.4.1 Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and apply these relationships to solve problems.

MA.B.1.3.3 understands and describes how the change of a figure in such dimensions as length, width, height, or radius affects its other measurements such as perimeter, area, surface area, and volume.



MA.7.G.4.2 Predict the results of transformations and draw transformed figures, with and without the coordinate plane.

MA.C.2.3.2 predicts and verifies patterns involving tessellations (a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles).

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MA.6.G.4.2 Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies. MA.7.G.4.2 Predict the results of transformations and draw transformed figures, with and without the coordinate plane. MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane. MA.8.G.2.4 Validate and apply Pythagorean Theorem to find distances in real-world situations or between points in the coordinate plane.

MA.C.3.3.1 represents and applies geometric properties and relationships to solve real-world and mathematical problems.

MA.7.A.5.1 Express rational numbers as terminating or repeating decimals. MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

MA.A.1.3.3 understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations.

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Chapter 11 : Probability


• Use tree diagrams and the counting principle• Find experimental probability, complements and odds• Find the probability of independent and dependent event

11.1: Counting Outcomes11.4: Theoretical and Experimental Probability11.5: Independent and Dependent Events






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MA.7.P.7.1 Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is fair or unfair. MA.7.P.7.2 Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events.

MA.E.2.3.1 compares experimental results with mathematical expectations of probabilities.

MA.7.P.7.2 Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events.

MA.E.2.3.2 determines odds for and odds against a given situation.

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• Use tree diagrams and the counting principle• Find experimental probability, complements and odds• Find the probability of independent and dependent event

11.1: Counting Outcomes11.4: Theoretical and Experimental Probability11.5: Independent and Dependent Events






Month

MA.6.A.3.4 Solve problems given a formula. MA.6.G.4.1 Understand the concept of π, know common estimates of π (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles. MA.6.G.4.2 Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies. MA.6.G.4.3 Determine a missing dimension of a plane figure or prism, given its area or volume and some of the dimensions, or determine the area or volume given the dimensions. MA.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three dimensional composite shapes.

MA.B.1.3.1 uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two-and three-dimensional shapes, including rectangular solids and cylinders.

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Chapter 9 : Geometry and Measurement

• Name solids and recognize skew lines• Draw a base plan: top, front, and side views• Identify nets of a solid• Find surface areas of prisms and cylinders• Find surface area of pyramids and cones• Find volume of prisms and cylinders• Find volumes of pyramids and cones

9.1: Solids 9.2: Drawing views of Solids 9.3: Nets and Solids 9.4: Surface Area of Prisms & Cylinders9.5: Surface Area of Pyramids & Cones9.6: Volumes of prisms & cylinders 9.7: Volumes of pyramids & cones






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MA.8.G.2.2 Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals. MA.8.G.2.3 Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles, and the sum of angles in polygons.

MA.C.1.3.1 understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions draw and build 3-D figures.

MA.6.G.4.2 Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies. MA.7.G.4.2 Predict the results of transformations and draw transformed figures, with and without the coordinate plane. MA.7.G.4.3 Identify and plot ordered pairs in all four quadrants of the coordinate plane. MA.8.G.2.4 Validate and apply Pythagorean Theorem to find distances in real-world situations or between points in the coordinate plane.

MA.C.3.3.1 represents and applies geometric properties and relationships to solve real-world and mathematical problems. JA

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• Name solids and recognize skew lines• Draw a base plan: top, front, and side views• Identify nets of a solid• Find surface areas of prisms and cylinders• Find surface area of pyramids and cones• Find volume of prisms and cylinders• Find volumes of pyramids and cones

9.1: Solids 9.2: Drawing views of Solids 9.3: Nets and Solids 9.4: Surface Area of Prisms & Cylinders9.5: Surface Area of Pyramids & Cones9.6: Volumes of prisms & cylinders 9.7: Volumes of pyramids & cones






Month

MA.7.S.6.2 Construct and analyze histograms, stem-and-leaf plots and circle graphs. MA.8.S.3.1 Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships.

MA.E.1.3.1 collects, organizes, and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations.

MA.6.S.6.1 Determine the measures of central tendency (mean, median, mode) and variability (range) for a given set of data. MA.7.S.6.2 Construct and analyze histograms, stem-and-leaf plots and circle graphs. MA.8.S.3.2 Determine and describe how changes in data values impact measures of central tendency.

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• Organize data in a frequency table and histogram• Recognizing and selecting an appropriate scale• Construct stem-and-leaf plots• Find mean, median, and mode using box-and-whisker plots• Draw conclusions from data on a scatter plot• Interpret and create circle graphs• Choosing an appropriate graph• Solving a problem by combining strategies

10-1: Displaying Frequency 10-2: Reading Graphs Critically 10-3: Stem-and-Leaf Plots 10-4: Box-and-Whisker Plot 10-5: Making Predictions 10-6: Circle Graphs 10-7: Choosing an Appropriate Graph10-8: Draw a diagram and use logic

Chapter 10 : Using Graphs to Analyze Data






Month

MA.6.S.6.1 Determine the measures of central tendency (mean, median, mode) and variability (range) for a given set of data. MA.7.S.6.2 Construct and analyze histograms, stem-and-leaf plots and circle graphs. MA.8.S.3.1 Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships. MA.8.S.3.2 Determine and describe how changes in data values impact measures of central tendency.

MA.E.1.3.3 analyzes real-world data by applying appropriate formulas for measures of central tendency and organizing data in a quality display, using appropriate technology, including calculators and computers.

MA.7.S.6.1 Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population. MA.8.S.3.2 Determine and describe how changes in data values impact measures of central tendency.

MA.E.3.3.1 formulates hypotheses, designs experiments, collects and interprets data, and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median, and mode) and tables, graphs, and charts.

MA.7.S.6.1 Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population. MA.8.S.3.2 Determine and describe how changes in data values impact measures of central tendency.

MA.E.3.3.2 identifies the common uses and misuses of probability and statistical analysis in the everyday world.

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MA.6.A.3.2 Write, solve and graph one- and two-step linear equations and inequalities. MA.6.A.3.6 Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation. MA.7.A.1.4 Graph proportional relationships and identify the unit rate as the slope of the related linear function. MA.7.A.1.5 Distinguish direct variation from other relationships, including inverse variation MA.8.A.1.1 Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.

MA.D.1.3.1 describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities.








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MA.C.3.3.1 represents and applies geometric properties and relationships to solve real-world and mathematical problems.



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• Express a solution to an equation as an ordered pair• Graph linear equations and identify the slope of a line• Create and interpret graphs using the y-intercept • Describe relationships through graphs and equations• Use the graphs to represent and solve problems• Graph systems of equations

3.2: Graphing Equations with Two Variables3.3: Understanding Slope 3.4: Using the y-intercept 3.5: Write an Equation/Make a Graph 3.6: Using Graphs of Equations 3.7: Solving Linear Systems by Graphing

Chapter 3 : Graphing in the Coordinate Plane






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MA.6.A.3.1 Write and evaluate mathematical expressions that correspond to given situations. MA.6.A.3.2 Write, solve and graph one- and two-step linear equations and inequalities. MA.6.A.3.6 Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation. MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem.

MA.D.1.3.2 creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships.








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• Evaluating algebraic expressions to write and describe sequences • Representing functions and using function notation• Use a table to graph a function• Write a rule from words and a rule from a table or graph• Interpret and sketch a graph• Graph and write quadratic functions and nonlinear equations• Solve problems by writing an equation• Write variable expressions and simplify• Add and subtract polynomials• Multiply by a monomial, using area models to multiply binomials

12.1: Sequences12.2: Functions12.3: Graphing Linear Function 12.4: Writing Rules for Linear Functions12.5: Relating Graphs and Events 12.6: Nonlinear Functions12.7: Write an Equation 12.8: Exploring Polynomials 12.9: Add and Subtract Polynomials 12.10: Multiplying Polynomials

Chapter 12 : Algebra






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MA.6.A.2.1 Use reasoning about multiplication and division to solve ratio and rate problems. MA.6.A.2.2 Interpret and compare ratios and rates. MA.7.A.1.6 Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed. MA.8.G.2.1 Use similar triangles to solve problems that include height and distances.

MA.B.1.3.2 uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures.



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MA.6.A.3.1 Write and evaluate mathematical expressions that correspond to given situations. MA.6.A.3.2 Write, solve and graph one- and two-step linear equations and inequalities. MA.6.A.3.6 Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation. MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem.

MA.D.1.3.2 creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships.








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• Find permutations and use permutation notation• Find combinations and use combination notation• Find simple interest• Find compound interest• Solve problems by writing equations• Understand the base of a number system• Construct congruent segments and angles• Construct bisectors

11.2: Permutations 11.3: Combinations 5.9: The Sine and Cosine Ratios6.8: Simple and Compound Interest7.5: Write and Equation 7.6: Number Systems8.9: Constructions

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Miscellaneous


curriculum guide 7th advanced - broward county public · pdf filecurriculum guide for:...

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