Advanced Math/ Math 7

Kahn Academy and Other Videos – Independent Practice and Review

Mary Ellen Riley

Unit 1 – Operations with Integers NO CALCULATOR

- 1-2 Words and Expressions
- 1-3 Variables and Expressions
- 4-1 Powers and Exponents
- 1-4 Properties of Numbers: Associative Property and Commutative Property
- 1-6 Ordered Pairs and Relations
- 1-7 Words, Equations, Tables and Graphs
- Define a variable (M6 7-2, 3, 4, 5)
- 2-1 Integers and Absolute Value
- Reasonableness of answers
- 2-2 Adding Integers: Integers and Adding Integers
- 2-3 Subtracting Integers
- 2-4 Multiplying Integers
- 2-5 Dividing Integers
- 2-6 Graphing in the Four Quadrants

Unit 2 – Operations with Rational Numbers NO CALCULATOR

- Solve multi-step real life problems with positive and negative rational numbers in any form.
- Use estimation (M6 4-1)
- 3-1 Fractions and Decimals (using long division)
- 3-2 Rational Numbers
- 3-5 Adding and Subtracting Like Fractions, 3-6 Adding and Subtracting Unlike Fractions
- 3-3 Multiplying Rational Numbers
- 3-4 Dividing Rational Numbers
- 5-3 Complex Fractions and Unit Rates

Unit 3 – Ratios and Proportions

- 5-1 Ratios
- 5-4 Converting Rates
- 5-7 Solving Proportions
- 5-2 Unit Rates
- 5-6 Graphing Proportional Relationships
- 5-5 Proportional and Nonproportional Relationships
- Write an equation to represent a proportion based on a graph or table.
- Create a graph based on a table or equation.
- Apply various strategies to determine proportionality of two ratios.

Unit 4 – Similar Figures and Scale Drawings – lessons moved

- 5-8 Scale Drawings
- 5-9 Similar Figures
- 5-10 Indirect Measurement

Unit 5 – Percents – lessons moved

- Convert between fraction, decimal and percent (M6 2-1, 2, 3)
- 6-4 Percent Change
- 6-5 Discount and Markup
- 6-6 Simple Interest
- 6-1 Using Percent Proportion
- 6-3 Using Percent Equation

Unit 6 – Expressions

- 7-2 Simplifying Algebraic Expressions
- 7-3 Adding Linear Expressions
- 7-4 Subtracting Linear Equations
- 7-5 Factor Linear Expressions
- 7-1 The Distributive Property

Unit 7a – Equations

Magic Math Trick 1

Magic Math Trick 2 with Denmark

- Solve One Step Equations (M6 7-2, 3, 4, 5)
- 8-2 Solving Two-Step Equations
- 8-4 More Two-Step Equations
- 8-5 Solving Equations with Variables on Both Sides
- 8-1 Solving Equations with Rational Coefficients

Unit 7b – Inequalities

- 8-7 Solving Inequalities (including graphing)
- 8-6 Inequalities (including two-step)

Unit 8 – Angles and Triangles

- 11-1 Angles and Line Relationships
- 11-2 Triangles
- Triangle Sum Theorem (p. 503)
- 11-3 Polygons

Unit 9a – Circles, Area of a Circle and Composite Figures

- How to get pi (Sir Cumference and the Dragon of Pi)
- Relationship between radius and diameter activity
- 12-1 Circles and Circumference
- 12-2 Area of Circles
- Area of parallelograms, triangles, and trapezoids (M6 9-1, 2, 3)
- 12-3 Area of Composite Figures
- 12-4 Three Dimensional Figures

Unit 9b – Surface area and Volume

- 12-5 Volume of Prisms
- 12-6 Volume of Cylinders
- 12-7 Volume of Pyramids
- Volume of Composite Figures – Included in other Volume lessons
- 12-8 Surface Area of Prisms
- 12-9 Surface Area of Cylinders
- 12-10 Surface Area of Pyramids

Unit 10 – Statistics

- 10-1 Measures of Center
- 10-2 Measures of Variability
- 10-3 Mean Absolute Deviation
- 10-4 Compare Populations
- 10-5 Using Sampling to Predict

Unit 11 – Probability