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8th Grade Pre-Algebra CONTENT CURRICULUM MAP COURSE AUGUST SEPTEMBER OCTOBER Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Orleans Hannah (Pre-Test) Variables & equations: interpret graphs, order of operations, Solving multi-step equations and inequalities, Issue books variable & expressions, equations & solutions, variables in graphing linear equations, relations and functions, j laughlin 8/20/07 6:30 PM formulas, number properties, the coordinate plane, solving scatter plots, line of best fit, intercepts, slopes, Comment: These are listed in the previous Integer operations (add, subtract, equations & inequalities (add, subtract, multiply, divide), two step understand that the slope of the line equals the unit – should it be included in both? multiply, divide), absolute value, equations, geometric formulas, matrices quantities, graphing inequalities, distinguish rules of exponents (including relevant from irrelevant information, identify j laughlin 8/20/07 6:27 PM negatives. & zero), scientific II B. 1-7 & II C. 1 missing information, velocity and density Comment: What do they need to know notation, demonstrate the about matrices? magnitude of rational numbers Chapter 1.1-1.3 & 1.5-1.7 II A. 1-2 & II D. 1-7 (trillions to millions) Chapter 2.6-2.8 Chapter 3 all Chapter 6 all V B. 2 Chapter 11 all Tech Resources: Chapter 2.1-2.5 Selecting an Operation Tech Resources: Chapter 1.4 Order of Operations Solving Multi-Step Equations Chapter 4.6-4.8 Mountain Climbing Substitution Race Solving Equations with Variables on Both Sides Variables and Expressions Solving Inequalities Tech Resources: Equations and Mental Math Problem Solving and Inequalities Math Powers and Exponents Perimeter and Area Functions and Equations Pre-Algebra Powers and Exponents, Variables Problem Solving Relations and Functions and Expressions The Distributive Property Graphing Functions Integers and Absolute Values The Coordinate Plane Slope Adding Integers Algebra Tiles Slope-Intercept Form Subtracting Integers Solving Addition and Subtraction Equations Multiplying Integers Climbing Wall Gizmos: Introduction to Functions, Linear Rules of Exponents and Negative Solving Two-Step Equations Functions, Point-Slope Form of a Line – Activity A, and Zero Exponents Area of a Triangle Slope-Intercept Form of a Line – Activity A, Using Inequalities Algebraic Equations, Using Tables, Rules and Graphs, Defining a Line with Two Points, Slope – Gizmos: Using Algebraic Equations, Modeling and Solving Two- Activity B, Standard Form of a Line, Distance-Time j laughlin 8/17/07 6:44 PM Step Equations, Solving Two-Step Equations, Beam to Moon Graphs, Distance-Time and Velocity-Time Graphs, Comment: There are several Gizmos for (Ratios and Proportions), Estimating Population Size, Part: Part Finding Patterns, intgerss and exponents but none are listed and Part: Whole Ratios, Polling: Neighborhood, Proportions and Common Multipliers, Defining a Line with Two Points, Point- Slope Form of a Line – Activity A, Slope-Intercept Form of a Line j laughlin 8/17/07 6:38 PM – Activity A, Standard Form of a Line, Modeling One-Step Comment: These are proportion and ratio Equations – Activity A., Solving Equations By Graphing Each Gizmos but proportions and ratios aren’t listed Side, Using Algebraic Expressions, Linear Functions, Using as being taught now Tables, Rules and Graphs QR, 2005 INSTRUCTOR OCTOBER NOVEMBER DECEMBER Week 10 Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Week 18 GRADE LEVEL Continue – Patterns & Functions 8th Analyze Change in Organizing and Displaying Data and Data Analysis and Interpretation & Probability Assessments Various Contexts PRIOR KNOWLEDGE Measures of central tendency, data analysis – stem-and-leaf plots, box-and-whisker plots, counting methods, probability and odds, independent & dependent events, theoretical & experimental probability, pictorial displays j laughlin 8/20/07 6:43 PM V A. 1-6, V B. 1-8, V C. 1-4, V D. 1-6 Comment: There is no detail about exactly what a student should know or be able to do Chapter 5.8 for any of these Chapter 12.1-12.4 Chapter 7.8 Solving multi- Chapter 12.7-12.8 step equations and Tech Resources: inequalities, Mean, Median, and Mode graphing linear Introduction to Probability equations, Simple Probability relations and Stem-and-Leaf Plots functions, Mastery of 7th Box-and-Whisker Plots scatter plots, Grade Finding Outcomes intercepts, Standards & Independent and Dependent Events slopes, Benchmarks graphing inequalities Gizmos: Solving Using Trend Lines, Describing Data Using Statistic, Histograms, Line Plots, Mean, Median, and Mode, Populations and Samples, Scatter Plots – Activity A, Stem-and-Leaf Plots, Box- II A. 1-2 and-Whisker Plots, Probability Simulations, Correlation, Polling: Neighborhood, Compound II D. 1-7 Independent Events, Compound Independent and Dependent Events, Independent and Dependent Events, Polling: City, Theoretical and Experimental Probability, Geometric Probability Chapter 6 all j laughlin 8/20/07 6:38 PM Chapter 11 all Comment: The standards don’t match the GIZMOS listed QR, 2005 JANUARY FEBRUARY MARCH Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Basic Geometry Terms Spatial Relationships & Transformations Two- and Three-Dimensional Measurement Polygons & transformations, basic geometry vocabulary including: point, line, plane, arc, chord, semicircle; transversal, congruent polygons, similarity and dilations; real numbers & right triangles, square roots, cube roots, Pythagorean theorem; measurement, use changes in measurement units to perform j laughlin 8/20/07 6:40 PM conversion from one-, two-, and three-dimensional shapes, area of polygons & circles, volume and surface area of 3D figures Comment: What about them? III A. 1-3 j laughlin 8/20/07 6:38 PM III B. 1 & III C. 1-2 Comment: Which transformations? III D. 1-5 j laughlin 8/20/07 6:40 PM Chapter 8 Comment: What about measurement? Chapter 9.1 – 9.5 Chapter 10 Tech Resources: Angles Playing Golf with Angles Drawing Quadrilaterals Polygons and Angles Lines of Symmetry Transformations and Symmetry Rational Numbers Ordering Rational Numbers The Pythagorean Theorem Special Right Triangles Areas of Parallelograms and Trapezoids Area of a Circle Areas of Geometric Figures Classifying Solids Solid Figures Sketching Solids Volume of a Prism Volumes of Cylinders Volumes of Solids Gizmos: Classifying Quadrilaterals – Activity A, Classifying Triangles, Parallelogram Conditions, Prisms and Cylinders – Activity A, Pyramids and Cones – Activity A, Special Quadrilaterals, Chords and Arcs, Geoboard: The Pythagorean Theorem, Pythagorean Theorem – Activity A & B, Ellipse – Activity A, Holiday Snowflake Designer, Dilations, Reflections, Rotations, Reflections, and Translations, Translations, Investigating Angle Theorems, Classifying Quadrilaterals – Activity A, congruence in Right Triangles, Constructing Congruent Segments and Angles, Perimeters and Areas of Similar Figures, Proving Triangles Congruent, Similar Figures – Activity A, Similar Polygons, Circle: Circumference and Area, Perimeter, Circumference, and Area – Activity B, Rectangle: Perimeter and Area, 3D and Orthographic Views – Activity A, Surface and Lateral Area of Prisms and Cylinders, Surface and Lateral Area of Pyramids and Cones QR, 2005 MARCH APRIL MAY Week 10 Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Week 18 Measurement and Number & Operations (Review/Enrichment) State Testing State Testing Ratios, proportions & percents; review fractions (add, subtract, multiply, divide) & decimals; enrichment polynomials & functions (adding & subtracting & multiplying), monomials & powers, nonlinear functions IV A. 1-2, IV B 1-2, I A 1-2, I B 1-3, I C 1-9 Chapter 7.1 - 7.7 Chapter 13 Tech Resources: Rates Modeling Proportions Fractions, Decimals, and Percents Simple Interest Percent Applications Polynomials Adding and Subtracting Polynomials Multiplying Binomials Gizmos: Prisms and Cylinders – Activity A, Pyramids and Cones – Activity A, Beam to Moon (Ratios and Proportions, Estimating Population Size, Proportions and Common Multipliers, Ordering Percents, Fractions and Decimals, Ordering j laughlin 8/20/07 6:41 PM Percents, Fractions and Decimals Greater Than 1, Square Roots, Adding Real Numbers, Modeling One-Step Equations – Comment: Does this Gizmo match a Activity A, Modeling and Solving Two-Step Equations, Solving Two-Step Equations, Square Roots, Operations with standards here? Radical Expressions, Using Algebraic Equations, Using Algebraic Expressions, Estimating Sums and Differences, j laughlin 8/20/07 6:42 PM Dividing Fractions, Dividing Mixed Numbers, Fractions with Unlike Denominators, Multiplying Fractions, Multiplying Comment: Do these match a standard here? Mixed Numbers, Multiplying with Decimals, Sums and Differences with Decimals, Improper Fractions and Mixed Numbers QR, 2005