Math 7 Syllabus

Unit I: Real Numbers and Algebra

A. Integers

1. Problem Solving

2. Variables, Expressions, and Properties

3. Integers and Absolute Value

a. Adding, Subtracting, Multiplying, and Dividing

4. Writing and Solving Expressions and Equations

a. Addition, Subtraction, Multiplication, and Division

B. Rational Numbers

1. Fractions and Decimals

2. Comparing and ordering rational numbers

3. Multiplying and Dividing Rational Numbers

4. Adding and Subtracting like and unlike Fractions

5. Powers and Exponents

6. Scientific Notation

C. Real Numbers and The Pythagorean Theorem

1. Square Roots

2. Real Number System

3. Pythagorean Theorem

4. Coordinate Plane

Unit 2: Proportional Reasoning

A. Proportions, Algebra, and Geometry

1. Ratios and Rates

2. Slope

3. Solving Proportions

4. Similar Polygons

5. Scale Drawings and Models

6. Indirect Measurement

B. Percents

1. Ratios and Percents

2. Fractions Decimals and Percents

3. Percent and Estimation

4. Simple and Compound Interest

Unit 3: Geometry and Measurement

A. Geometry

1. Lines and Angles

2. Triangles

3. Polygons

4. Symmetry, reflections, translations and rotations

B. Geometry: Measuring Area and Volume

1. Area of Polygons

2. Area of Circles

3. Three-dimensional figures

4. Surface area of three-dimensional figures

Unit 4: Algebra: Linear and Nonlinear Functions

A. Algebra: Equations and Inequalities

1. Simplifying Algebraic Expressions

2. Two-step Equations

3. Solving Inequalities

B. Algebra: Linear Functions

1. Sequences

2. Graphing Linear Functions

3. Slope-Intercept Form

4. Graphing Linear Inequalities

Unit 5: Probability and Statistics

A. Probability

1. Counting Outcomes

2. Permutations

3. Combinations

B. Statistics and Matrices

1. Histograms

2. Measures of Central Tendency

3. Matrices