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General Math III Curriculum Guide |
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Objectives |
Core Curr. |
Instructional |
Assessment |
Resources |
GEPA HSPA Terra Nova |
| The student will be able to: |
General Math III: Mathematics for
the New Jersey HSPT, Glatzer & Glatzer/Amsco The HSPT COACH workbook may be used as a resource throughout the entire course. |
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| · Make estimations and approximations. | 4.10 | Sec. 1A: "Estimations and Approximations", p. 9; Model Problems; "Try These" Exercises | Teacher Observation; Teacher-made Test; Assessment for Cluster 1, pp. 21-22; Assessment for Section 1A, pp. 10-11 | M. I | |
| · Judge reasonableness of results in the context of applications and problem solving. | 4.10 | Sec. 1B: "Reasonableness of Results", p. 10; Model Problems; "Try These" Exercises | Assessment for Section 1B, pp. 10-11 | M. I | |
| · Represent and use numbers in a variety of equivalent forms (integers, fractions, decimals, percents, and exponential notation) in real-world and mathematical problem situations. |
4.6 4.8 |
Sec. 1C.1: "Rational Numbers", pp. 11-12; Model Problems, p.
11; "Try These" Exercises, p. 12 Sec. 1C.2: "Concepts of Percent", pp. 12-13; Model Problems, p. 13; "Try These" Exercises, p. 13 Sec. 1C.3: "Exponents", pp. 14-15; Model Problems |
Assessment for Section 1C, p. 15 | M. I | |
| · Apply ratios, proportions, and percents in a variety of situations. |
4.6 4.8 |
Sec. 1D.1: "Ratio and Rate", p. 16; Model Problems; "Try
These" Exercises Sec. 1D.2: "Solving a Proportion", pp. 16-17; Model Problems, p. 16; "Try These" Exercises, p. 17 Sec. 1D.3: "Percent Problems", pp. 17-18; Model Problems, p. 17; "Try These" Exercises, pp. 17-18 |
Assessment for Section 1D, pp. 18-19 | M. I | |
| · Apply such concepts as primes, factors, and multiples in solving problems. |
4.6 4.8 |
Sec. 1E.1: "Primes and Factors", pp. 19-20; Model Problems,
p. 19; "Try These" Exercises, pp. 19-20 Sec. 1E.2: "Multiples", p. 20; Model Problems; "Try These" Exercises |
Assessment for Section 1E, pp. 20-21 | M. I | |
| · Identify, describe, compare, and classify geometric figures. | 4.7 |
Sec. 2A.1: "Triangles", pp. 23-24; Model Problems, p. 23;
"Try These" Exercises, pp. 23-24 Sec. 2A.2: "Quadrilaterals", pp. 24-25; Model Problems, p. 25; "Try These" Exercises, p. 25 Sec. 2A.3: "Circles", pp. 25-26; Model Problems, p. 26 "Try These" Exercises, p. 26 |
Teacher Observation Teacher-made Test Assessment for Cluster 2, pp. 62-66 Assessment for Section 2A, pp. 26-27 |
M. II | |
| · Understanding transformations and their effects on geometric figures and apply these ideas informally. | 4.7 |
Sec. 2B.1: "Translation", pp. 27-28; Model Problems, pp.
27-28; "Try These" Exercises, p. 28 Sec. 2B.2: "Reflection", pp. 28-29; Model Problems, p. 29; "Try These" Exercises, p. 29 Sec. 2B.3: "Rotation", p. 30; Model Problems; "Try These" Exercises |
Assessment for Section 2B, pp. 31-32 |
M. II S-9 S-9 S-9 |
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| · Visualize and represent geometric figures. | 4.7 | Sec. 2C: "Visualizing and Representing Geometric Figures", pp. 33-34; Model Problems, p. 33; "Try These" Exercises, pp. 33-34 | Assessment for Section 2C, pp. 35-36 |
M. II
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| · Represent and solve problems using geometric models. | 4.7 | Sec. 2D: "Using Geometric Models to Solve Problems", pp. 34-35; Model Problems, p. 34; "Try These" Exercises, p. 35 | Assessment for Section 2D, pp. 35-36 | M. II | |
| · Understand and apply informally geometric properties and relationships. | 4.7 |
Sec. 2B.1: "Translation", pp. 27-28; Model Problems, pp.
27-28; "Try These" Exercises, p. 28 Sec. 2B.2: "Reflection", pp. 28-29; Model Problems, p. 29; "Try These" Exercises, p. 29 Sec. 2B.3: "Rotation", p. 30; Model Problems; "Try These" Exercises |
Assessment for Section 2B, pp. 31-32 |
M. II S-9 S-9 S-9 |
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| · Visualize and represent geometric figures. | 4.7 | Sec. 2C: "Visualizing and Representing Geometric Figures", pp. 33-34; Model Problems, p. 33; "Try These" Exercises, pp. 33-34 | Assessment for Section 2C, pp. 35-36 | M. II | |
| · Represent and solve problems using geometric models. | 4.7 | Sec. 2D: "Using Geometric Models to Solve Problems", pp. 34-35; Model Problems, p. 34; "Try These" Exercises, p. 35 | Assessment for Section 2D, pp. 35-36 | M. II | |
| · Understand and apply informally geometric properties and relationships. | 4.7 |
Sec. 2E.1: "Lines", pp. 37-38; Model Problems, p. 37;
"Try These" Exercises, pp. 37-38 Sec. 2E.2: "Angles", pp. 38-40; Model Problems, p. 39; "Try These" Exercises, pp. 39-40 Sec. 2E.3: "The Pythagorean Relation", pp. 40-41; Model Problems, p. 41; "Try These" Exercises, p. 41 |
Assessment for Section 2E, pp. 42-43 |
M. II S-9 |
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| · Classify figures in terms of congruence and similarity and apply these relationships informally. | 4.7 |
Sec. 2F.1: "Congruence", pp. 43-44; Model Problems, p. 43;
"Try These" Exercises, p. 44 Sec. 2F.2: "Similarity", pp. 45-46; Model Problems, p. 45; "Try These" Exercises, p. 46 |
Assessment for Section 2F, pp. 46-47 |
M. II S-9 |
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| · Understand measurement, the structure of systems of measurement, and the use of various systems of measurement. | 4.9 |
Sec. 2G.1: "Measurement Systems", pp. 48-49; Model Problems,
p. 48; "Try These" Exercises, p. 49 Sec. 2G.2: "Converting Units", p. 49; Model Problems; "Try These" Exercises |
Assessment for Section 2G, pp. 51-52 | M. II | |
| · Estimate, make, and use measurements to describe and compare phenomena. |
4.9 4.10 |
Sec. 2H: "Estimating Measurements", p. 50; Model Problems; "Try These" Exercises | Assessment for Section 2H, pp. 51-52 | M. II | |
| · Select appropriate units and tools to measure to the level of accuracy required in a particular situation. | 4.9 | Sec. 2I: "Accuracy of Measurements", pp. 50-51; Model Problems, p. 50; "Try These" Exercises, p. 51 | Assessment for Section 2I, pp. 51-52 | M. II | |
| · Find and use perimeter, circumference, area, volume, and surface area. |
4.7 4.9 |
Sec. 2J.1: "Perimeter and Circumference", pp. 52-53; Model
Problems, p. 53; "Try These" Exercises, p. 53 Sec. 2J.2: "Area", pp. 54-56; Model Problems, p. 55; "Try These" Exercises, pp. 55-56 Sec. 2J.3: "Volume", pp. 56-58; Model Problems, p. 57; "Try These" Exercises, p. 58 Sec. 2J.4: "Surface Area", pp. 59-60; Model Problems, p. 59; "Try These" Exercises, p. 60 |
Assessment for Section 2J, pp. 60-61; Cumulative Assessment for Clusters 1 & 2, p. 66 |
M. II S-9 S-9 S-9 M. II |
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| · Identify, describe, extend, analyze, and create a wide variety of numerical and non-numerical patterns. | 4.11 |
Sec. 3A.1: "Arithmetic and Geometric Sequences", pp. 67-68;
Model Problems, p. 67; "Try These" Exercises, p. 68 Sec. 3A.2: "Computational Patterns", pp. 68-69; Model Problems, pp. 68-69; "Try These" Exercises, p. 6 Sec. 3A.3: "Visual Patterns", pp. 69-71; Model Problems, p. 70; "Try These" Exercises, pp. 70-71 Sec. 3A.4: "Special Patterns", p. 71; Model Problems; "Try These" Exercises |
Teacher Observation Teacher-made Test Assessment for Cluster 3, pp. 80-82 Assessment for Section 3A, pp. 72-73 |
M. III S-9 |
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| · Describe and represent relationships using number sentences, verbal statements, models, tables, graphs, and variable expressions. | 4.11 | Sec. 3B: "Functions and Relationships", pp. 73-74; Model Problems, p. 73; "Try These" Exercises, p. 74 | Assessment for Section 3B, pp. 77-79; Cumulative Assessment for Clusters 1, 2, & 3, pp. 83-84 | M. III | |
| · Use patterns and functions to represent and solve problems. | 4.11 | Sec. 3C: "Solving Problems By Using Patterns and Functions", pp. 74-75; Model Problems, p. 75; "Try These" Exercises, p. 75 | Assessment for Section 3C, pp. 77-79; Cumulative Assessment for Clusters 1, 2, & 3, pp. 83-84 | M. III | |
| · Model real-world phenomena with a variety of functions represented by tables, graphs, and variable expressions. | 4.11 | Sec. 3D: "Functions in Real-World Situations", pp. 76-77; Model Problems, p. 76; "Try These" Exercises, pp. 76-77 | Assessment for Section 3D, pp. 77-79; Cumulative Assessment for Clusters 1, 2, & 3, pp. 83-84 | M. III | |
| · Systematically collect, organize, and describe data. | 4.12 |
Sec. 4A.1: "Mean, Median, Mode, and Range", pp. 85-86; Model
Problems, p. 85; "Try These" Exercises, p. 86 Sec. 4A.2: "Types of Graphs", pp. 87-89; Model Problems, p. 88; "Try These" Exercises, pp. 88-89 |
Teacher Observation Teacher-Made Test Assessment for Cluster 4, pp. 101-103; Assessment for Section 4A, pp. 94-96 |
M. IV S-9 S-9 |
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| · Construct, read, and interpret tables, charts, and graphs that summarize data from real-world situations. | 4.12 | Sec. 4B: "Interpreting Data", pp. 89-92; Model Problems, p. 89 & p. 91; "Try These" Exercises, pp. 91-92 | Assessment for Section 4B, pp. 94-96 |
M. IV S-9 |
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| · Make inferences and evaluate arguments based on analysis of data. | 4.12 | Sec. 4C: "Inferences and Applications", pp. 93-94; Model Problems, p. 93; "Try These" Exercises, pp. 93-94 | Assessment for Section 4C, pp. 94-96 |
M. IV S-9 |
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| · Determine the probability of a simple event. | 4.12 | Sec. 4D: "Probability", pp. 97-98; Model Problems, p. 97; "Try These" Exercises, pp. 97-98 | Assessment for Sections 4D, pp. 100-101; Cumulative Assessment for Clusters 1, 2, 3, & 4, pp. 104-106 |
M. IV S-9 |
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| · Understand and use algorithms as found in discrete math to solve problems. | 4.12 |
Sec. 4E.1: "The Counting Principle", p. 98; Model Problems Sec. 4E.2: "Tree Diagrams", p. 99; Model Problems Sec. 4E.3: "Permutations and Combinations", p. 99; Model Problems, p. 99; "Try These" Exercises, pp. 99-100 |
Assessment for Sections 4E, pp. 100-101; Cumulative Assessment for Clusters 1, 2, 3, & 4, pp. 104-106 |
M. IV S-9 S-9 S-9 |
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| · Understand the concepts of variable, expression, and equation. | 4.13 |
Sec. 5A.1: "Evaluating an Expression", p. 107; Model
Problems; "Try These" Exercise Sec. 5A.2: "Combining Like Terms", pp. 107-108; Model Problems, p. 107; "Try These" Exercises, p. 108 Sec. 5A.3: "Translating From a Verbal Statement to a Variable Expression", p. 108; Model Problems; "Try These" Exercises Sec. 5A.4: "Open Sentences", pp. 108-109; Model Problems, p. 109; "Try These" Exercises, p. 109 |
Teacher Observation Teacher-made Test Assessment for Cluster 5, pp. 125-127 Assessment for Section 5A, pp. 109-110 |
M. V | |
| · Represent situations and number patterns with tables, graphs, verbal rules, and equations, and understand the inter-relationships of these representations. | 4.13 |
Sec. 5B.1: "Tables", p. 110; Model Problems; "Try
These" Exercises Sec. 5B.2: "Graphs", p. 111; Model Problems; "Try These" Exercises Sec. 5B.3: "Verbal Rules and Equations", pp. 112-113; Model Problems, p. 112; "Try These" Exercises, pp. 112-113 |
Assessment for Section 5B, pp. 113-115 |
M. V S-9 |
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| · Analyze tables and graphs to identify properties and relationships. | 4.13 |
Sec. 5C.1: "Points on a Line", p. 115; Model Problems;
"Try These" Exercises Sec. 5C.2: "Slope", pp. 116-117; Model Problems, p. 116; "Try These" Exercises, p. 11 Sec. 5C.3: "Variation", p. 118; Model Problems; "Try These" Exercises Sec. 5C.4: "Distance Between Two Points", p. 119; Model Problems; "Try These" Exercises |
Assessment for Section 5C, p. 120 | M. V | |
| · Solve linear equations and inequalities using concrete, informal, and formal methods. | 4.13 |
Sec. 5D.1: "Equations", pp. 121-122; Model Problems, p. 121;
"Try These" Exercises, p. 122 Sec. 5D.2: "Inequalities", p. 122; Model Problems; "Try These" Exercises |
Assessment for Section 5D, pp. 122-123 |
M. V S-9 |
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| · Apply algebraic methods to solve a variety of real-world and mathematical problems. | 4.13 | Sec. 5E: "Algebraic Applications", p. 124; Model Problems; "Try These" Exercises | Assessment for Section 5E, p. 124-125 |
M. V S-9 |
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NOTE SPECIAL EDUCATION MODIFICATIONS SUGGESTIONS. SEE IEP FOR SPECIFIC ACCOMMODATIONS.
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