# Math 7 Accelerated Videos

**2017-18 Math 7 Accelerated Essential Math Concepts (EMCs)**

1. Apply Understandings of Operations with Rational Numbers

2. Generate Equivalent Expressions and Solve Multi-Step Equations and Inequalities

3. Analyze and Use Proportional Relationships to Solve Problems, Including Percent Problems

4. Understand Connections Between Proportions and Linear Equations

5. Draw, Construct, and Describe Geometrical Figures

6. Solve Problems Involving Area, Surface Area, and Volume

7. Use Random Sampling to Draw Statistical inferences and Develop, Use, and Evaluate Probability Models

8. Interpret and Solve Problems with Radicals and Integer Exponents

**Grade 7 & 8 Domains, Clusters, and Standards**

**Click on a domain or standard to review Khan Academy videos aligned to the domain/standard.**

**NOTE: The content of Khan Academy videos are not the property of Capistrano USD, so use of the videos are at the viewer's discretion.**

**Ratios and Proportional Relationships**

• Analyze proportional relationships and use them to solve real-world and mathematical problems.

EMC 3: (7.RP.1, 7.RP.2, 7.RP.2a, 7.RP.2b, 7.RP.2c, 7.RP.2d, 7.RP.3)

**The Number System Grade 7 / Grade 8**

• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and

divide rational numbers.

EMC 1: (7.NS.1, 7.NS.1a, 7.NS.1b, 7.NS.1c, 7.NS.1d, 7.NS.2, 7.NS.2a, 7.NS.2b, 7.NS.2c, 7.NS.2d, 7.NS.3)

• Know that there are numbers that are not rational, and approximate them by rational numbers.

**Expressions and Equations Grade 7 / Grade 8**

• Use properties of operations to generate equivalent expressions.

• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

EMCs 1 & 3: (7.EE.3)

EMC 2: (7.EE.4, 7.EE.4a, 7.EE.4b)

• Work with radicals and integer exponents.

EMC 8: (8.EE.1, 8.EE.2, 8.EE.3, 8.EE.4)

• Understand the connections between proportional relationships, lines, and linear equations.

• Analyze and solve linear equations and pairs of simultaneous equations.

EMC 2: (8.EE.7, 8.EE.7a, 8.EE.7b)

• Draw, construct and describe geometrical figures and describe the relationships between them.

• Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

EMC 5: (7.G.5)

• Understand congruence and similarity using physical models, transparencies, or geometry software.

EMC 5: (8.G.1, 8.G.1a, 8.G.1b, 8.G.1c, 8.G.2, 8.G.3, 8.G.4, 8.G.5)

• Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

EMC 6: (8.G.9)

• Use random sampling to draw inferences about a population.

• Draw informal comparative inferences about two populations.

• Investigate chance processes and develop, use, and evaluate probability models.

EMC 7: (7.SP.5, 7.SP.6, 7.SP.7, 7.SP.7a, 7.SP.7b, 7.SP.8, 7.SP.8a, 7.SP.8b, 7.SP.8c)