CASE21 North Carolina Pacing Guide: 8 TH GRADE MATH Updated August 10, 2010
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1 Day Date Unit State Standards Core and Related Concepts 1 N/A Welcome Back Course expectations Math activity 2 Unit 1: 1.05 Integers Integers & (6 th Grade) Compare & order Rational 1.02 Absolute value & Numbers 1.03 opposites 5.02 Add & subtract 3 15 Days 5.03 Multiply & divide 4 (7th Grade) Algebraic Expressions 5 Order of 6 operations/include the 7 relationship between exponents & parenthesis 8 Properties/concentration 9 on distributive 10 Simplify & evaluate 11 Translate verbal to 12 algebraic and vice versa 13 Algebraic Equations 14 Properties of equality Solve algebraic One-step Inequalities Solve one-step All four operations Solving Equations Fractions & decimals Review/use calculator 15 REVIEW 16 UNIT 1 COMMON ASSESSMENT 17 Unit 2: 1.01 Real Numbers 18 Real 2.02 Rational vs. irrational 19 Numbers 3.01 Compare & order Square Roots Days 5.04 Squaring numbers 22 Take square roots of Notes Include perimeter problems when simplifying/ combining terms Include: rational numbers Key concept: multiplication and division by a negative number Stress as inverse concepts Challenge: solve 1
2 23 perfect squares 24 Estimate roots 25 Explore non-perfect Numbers Evaluate radicals Exponent Properties Multiply Divide Power to power Cube Roots Cube numbers Take cube root 26 REVIEW 27 UNIT 2 COMMON ASSESSMENT 28 Unit 3: 1.01 Review 29 Percent & 2.01 Ratios, rates & 30 Proportions (7th Grade) proportions 31 Solve proportions Days 1.02 Similar polygons Scale drawings & models Indirect measurement Dilations Define/prime notation 5.03 Graph dilations with scale factor >, < and equal to 38 1 (also negative numbers) Find scale factor Problem solving Decimals, Fractions & Percent Conversions Mental computations Percent & estimation 39 REVIEW 40 1 ST BENCHMARK FOR UNIT Continue With Unit 3: Percent & Proportions 49 REVIEW Finding Percent By proportion By equation Percent of Change Solve using formula Application Application of Percent Discount, tax, & commission Simple interest (I = prt) with radicals Include: maps with scale drawings Classify dilation as enlargement vs. reduction Review as needed Review terms: principal, interest & markup 2
3 50 UNIT 3 COMMON ASSESSMENT 51 Unit 4: 5.03 Solve Two-Step Equations Equations & Inequalities 5.04 Write & solve two-step Solve multi-step Days 56 Solve with variables on both sides 57 Solve for a variable 58 Problem solving 59 Formulas 60 Substituting values into a 61 formula 62 Inequalities Review symbols Determine truth value Practice writing Inequalities from word phrase 68 Two-Step Inequalities 69 Solve & check by using all four operations 70 Include fractions 71 Graph Write and solve Translate Incorporate problems involving the distributive property, combining terms & clearing fractions Review: multiplication and division by a negative number Emphasize placement of the negative with fractions REVIEW 74 UNIT 4 COMMON ASSESSMENT 75 Unit 5: 2.01 Review Terms 76 Geometry & 2.02 Perimeter of polygons 77 Measure-me (6th Grade) Circumference 78 nt 2.01 Review Area Parallelograms Days Triangles Trapezoids 81 Complex figures Review Area Circles Pythagorean Theorem Use of formula Problem solve 82 REVIEW 83 2 ND BENCHMARK FOR UNITS 1-4 3
4 Three-Dimensional Figures Define & classify Identify parts Volume Prisms & cylinders Pyramids cones & spheres Surface Area Prisms & cylinders Pyramids cones & spheres Problem Solving Practice finding perimeter, area & volume Application problems Composite Figures Volume & surface Area 96 REVIEW 97 UNIT 5 COMMON ASSESSMENT 98 Unit 6: 4.01 Histograms 99 Analyzing 4.04 Interpret & analyze 100 Data & (7th Grade) Measures of Central Tendency 101 Statistics Mean, median, mode & range Days 4.03 Which measure of central tendency best represent 104 the data 105 Stem-and-Leaf Plots 106 Back-to-back stem plots Box-and-Whisker Plots Analyze Displaying Data Choose the appropriate method Interpret Misleading Graphs 107 REVIEW 108 UNIT 6 COMMON ASSESSMENT 109 Unit 7: 4.02 Functions Functions a Define function/vertical line test Days 5.01b Identify domain & range d Complete function tables 114 Find function values f(x) Graph functions using Concentrate on prisms & spheres Lateral area Determine effect of perimeter, area & volume when changing one or more dimensions Emphasis on calculator functions in this unit Emphasis on outliers Challenge: write stories to match with a graph 4
5 115 table Matching situations with a graph 118 Graphing functions 119 Technology Component 120 Create lists Function tables 121 Application with Functions 122 Profit/cost 123 REVIEW 124 UNIT 7 COMMON ASSESSMENT 125 Unit 8: Graph Linear Equations Linear Equations Using tables c 5.01d Solve for y (gets students ready for slope intercept form) 28 Days 128 REVIEW 129 3RD BENCHMARK FOR UNIT 1-7 Graph Use x and y-intercepts Slope-Intercept Form Initially introduce: y = mx Discuss the incline & decline of the lines without using the word slope Slope-Intercept Form Introduce: y = mx + b From graph to the linear equation From linear equation to graph Slope Define as rate of change Find slope using rise over run (both algebraically & graphically) Find the slope using the formula Classify slope as positive, negative, zero or undefined Write Equations of Lines Use intercepts Use slope-intercept form Use point-slope form This allows the students to explore the relationship with these lines The students should discover that b is the y-intercept Emphasis on writing one form given another 5
6 Use standard form Linear Inequalities Solve by graphing Scatterplots Construct & interpret Line of best fit (predict) Line of regression Application problems 152 REVIEW 153 UNIT 8 COMMON ASSESSMENT REVIEW FOR EOG S EOG TESTING MAKE-UP TESTING / ENRICHMENT REMEDIATION/RETESTING/ENRICHMENT Include both calculator & non-calculator practice Suggestions: factor (FOIL), solve linear systems by graphing, introduce slopes of parallel & perpendicular lines 6
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