7th Honors Math Course-at-a-Glance
Link to NCDPI Unpacking Document: https://drive.google.com/drive/folders/1qYsW_TmnT2nN6PvXWYcT4udZc05tW7nY?usp=sharing
Link to Suggested Day-by-Day Pacing Calendar (can be altered based on school/student needs): https://docs.google.com/spreadsheets/d/110Vqg7qd6-s5nXQkFx0b9NeD6ZPNX7AybxUEYSrALnM/edit?usp=sharing
Unit
Approximate Time
Big Idea
Standards
Introduction
1 week
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Investment, Growth Mindset, Grit
Unit 1 -
Rational Numbers
20 days
Students will define rational numbers as any number that can be written as a quotient of two other integers, namely a positive or negative whole number, fraction, or terminating or repeating decimal. Students will be able to order and convert between all forms of rational numbers, and they will be able to perform any operations on rational numbers to solve problems in a mathematical or real-world context.
7.NS.1, 7.NS.2, 7.NS.3
Unit 1a - Constant of Proportionality
10-15 days
Students will extend their understanding of ratios to include proportional relationships represented in graphs, equations, tables, and written context. They will recognize and analyze unit rates, proportional relationships, and scale factor, and they will use each to solve problems in mathematical and real-world contexts. Students will also extend their understanding of percent to solve problems using the percent as a ratio per 100, including problems with circle graphs.
6.EE.9, 7.RP.1, 7.RP.2, 7.RP.3
Unit 2 - Functions
35 days
Students will extend on their learning of proportional reasoning into linear equations and functions. Students will define functions as numerical relationships in which each input has one output and represent written descriptions of these functions on qualitative graphs, and they will learn characteristics of these functions represented as tables, graphs, equations, and written contexts. Students will also learn characteristics of linear functions, including the slope-intercept form of a linear equation, in real-world and mathematical contexts. They will compare characteristics of functions in various representations.
8.F.1, 8.F.2, 8.F.3, 8.F.4, 8.F.5
Unit 3 - Equations, Inequalities, and Angles
20 days
Students will build on their understanding of equality to solve single-variable equations and inequalities, both in real-world and mathematical contexts, with variables on one side or both sides. Many of these equations will be solved in the context of angles. Angle relationships include interior and exterior angles of triangles; complementary, supplementary, vertical, and adjacent angles; and angle pairs formed when a parallel line is cut by a transversal.
7.EE.3, 7.EE.4, 8.EE.7, 8.G.5
Unit 4 - The Real Number System, Exponent Rules, and Pythagorean Theorem
30 days
Students will discover and learn rules about the behavior of exponents, both in expressions and equations. With equations, students will realize the inverse properties of exponents and roots, and they will be able to recognize perfect squares and their roots and estimate the values of non-perfect squares. They will define and differentiate between rational and irrational numbers.Students will use these concepts as they prove and develop the Pythagorean Theorem and apply it to solve problems. Students will also explore scientific notation as a property of exponents.
8.NS.1, 8.NS.2, 8.EE.1, 8.EE.2, 8.EE.3, 8.EE.4, 8.G.6, 8.G.7, 8.G.8
Unit 5 - Geometry
25 days
Students will build on their understanding of volume and two-dimensional circles to solve problems involving volume of prisms, cones, cylinders, and spheres. Students will also build on the proportional reasoning from 7th grade to explore transformations of shapes on and off the coordinate plane, both rigid transformations (translations, rotations, and reflections) and non-rigid transformations (dilations).
7.G.1, 7.G.4, 7.G.6, 8.G.2, 8.G.3, 8.G.4, 8.G.9
Unit 6 - Statistics
20 days
Students will continue to explore random sampling, probability, and measures of center and spread, while adding the new concept of two-way frequency tables to analyze data and calculate probability.
Review all 7.SP standards, 8.SP.4
Unit 1 Concepts
Concept 1 - Dividing Fractions (prerequisite review)
Concept 2 - Opposites and Absolute Value Review (prerequisite review)
Concept 3 - Operations with Rational Numbers
Concept 4 - Fractions, Decimals, and Percents
Concept 5 - Solving Real-World Problems Using Rational Numbers
Unit 1a Concepts
Concept 1 - Independent and Dependent Variables
Concept 2 - Equation, Table, and Graph Relationships
Concept 3 - Ratios
Concept 4 - Unit Rates with Compelx Fractions
Concept 5 - Constant of Proportionality with Tables, Graphs, and Equations
Concept 6 - Solving and Setting Proportions Equal
Concept 7 - is/of (Part/Whole)
Concept 8 - Percent of Change
Concept 9 - Percent of Error
Concept 10 - Markup-Markdown Problems (including multi-step)
Concept 11 - Simple Interest
Concept 12 - Proportionality in Circles/Degrees
Concept 13 - Unit Conversion Ratios
Unit 2 Concepts
Concept 1 - Using Graphs to Relate Two Quantities
Concept 2 - Distinguishing Functions from Relations
Concept 3 - Graphing Linear Functions from Tables
Concept 4 - Graphing Linear Functions from Equations
Concept 5 - Recognizing Linear vs. Nonlinear Functions in Graphs, Tables, and Equations
Concept 6 - Writing Function Rules (Proportional/Direct Variation)
Concept 7 - Writing Function Rules (Proportional and Non-Proportional)
Concept 8 - Determining Average Rate of Change from Graphs, Tables, and Equations
Concept 9 - Determining Average Rate of Change from Two Points
Concept 10 - Modeling Linear Functions Using Slope-Intercept Form
Concept 11 - Slope-Intercept Form Word Problems
Concept 12 - Comparing Characteristics of Two Linear Functions
Concept 13 - Graphing and Comparing Systems of Two Linear Equations
Concept 14 - Exploring Graphs of Systems
Concept 15 - Writing and Graphing Systems to Solve Real-World Problems
Unit 3 Concepts
Concept 1 - Translating Algebraic Expressions/Equations Review
Concept 2 - Solving One and Two Step Equations Review (Inverse Operations)
Concept 3 - Solving Multi-Step Equations and Inequalities
Concept 4 - Solving Equations and Inequalities with Variables on Both Sides
Concept 5 - Numbers of Solutions of Linear Equations (0, 1, Infinite Solutions)
Concept 6 - Real-World Applications of Equations
Concept 7 - Triangle Theorems
Concept 8 - Angle Relationships in Triangles
Concept 9 - Angle Relationships (Complementary, Supplementary, Adjacent, Vertical)
Concept 10 - Angle Relationships (Parallel Lines Cut By a Transversal)
Unit 4 Concepts
Concept 1 - Terminating and Repeating Decimals
Concept 2 - Laws of Exponents
Concept 3 - Scientific Notation
Concept 4 - Perfect Square Roots and Perfect Cube Roots
Concept 5 - Estimating Square Roots and Cube Roots
Concept 6 - Understanding the Real Number System
Concept 7 - Comparing and Ordering Real Numbers
Concept 8 - Understanding the Pythagorean Theorem
Concept 9 - Investigating Pythagorean Triples
Concept 10 - Applying the Pythagorean Theorem in Two Dimensions
Concept 11 - Pythagorean Theorem and Area/Perimeter
Concept 12 - Applying the Pythagorean Theorem in Three Dimensions
Concept 13 - Distance on the Coordinate Plane
Unit 5 Concepts
Concept 1 - Understanding Scale Drawings
Concept 2 - Finding Scale Factor
Concept 3 - Area and Perimeter of Scale Drawings
Concept 4 - Understanding Similar Figures/Finding Missing Side Lengths
Concept 5 - Circumference of Circles
Concept 6 - Area of Circles
Concept 7 - Area of Irregular/Composite Figures
Concept 8 - Working Backwards with Formulas
Concept 9 - Volume of Prisms
Concept 10 - Volume of Pyramids
Concept 11 - Volume of Cylinders, Cones, and Spheres
Concept 12 - Surface Area
Concept 13 - Working Backwards with Volume and Surface Area
Concept 14 - Rigid Motion Transformation Properties
Concept 15 - Congruence and Transformation
Concept 16 - Similarity and Transformation
Unit 6 Concepts
Concept 1 - Random Sampling (Biased vs. Unbiased)
Concept 2 - Determining the Best Sample
Concept 3 - Making Predictions from Samples
Concept 4 - Finding Measures of Center
Concept 5 - Understanding and Interpreting Measures of Center
Concept 6 - Mean Absolute Deviation
Concept 7 - Analyzing Box and Whisker Plots
Concept 8 - Understanding Shape, Center, and Spread of Data Sets
Concept 9 - Understanding and Creating Two-Way Tables
Concept 10 - Probability of Simple Events
Concept 11 - Experimental and Theoretical Probability
Concept 12 - Probability of Compound Events