Grade Level & Subject:

Grade 7 Honors Math – Pre-Algebra

Curriculum Map

Year 2003

Calendar

November

December

January

 

Second Nine Weeks – November - January

 

Possible Resources

 

 

Glencoe Pre-Algebra (Anchor Text)

Chapters 4-6  (pages 184-315)

 

AMATH

 

Nine Weeks Focus

 

 

     

 

Skills/Standards

 

Number, Number Sense and Operations Standards

1. Demonstrate an understanding of place value using powers of 10 and write large numbers in scientific notation.

2. Explain the meaning of exponents that are negative or 0.

3. Describe differences between rational and irrational numbers; e.g., use technology to show that some numbers (rational) can be expressed as terminating or repeating decimals and others (irrational) as non-terminating and non-repeating decimals.

4. Use order of operations and properties to simplify numerical expressions involving integers, fractions and decimals.

5. Explain the meaning and effect of adding, subtracting, multiplying and dividing integers; e.g., how adding two integers can result in a lesser value.

6. Simplify numerical expressions involving integers and use integers to solve real-life problems.

7. Solve problems using the appropriate form of a rational number (fraction, decimal or percent).

Number, Number Sense and Operations (Continued)

9. Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares).

 

Measurement Standard

2. Convert units of area and volume within the same measurement system using proportional reasoning and a reference table when appropriate; e.g., square feet to square yards, cubic meters to cubic centimeters.

5. Analyze problem situations involving measurement concepts, select appropriate strategies, and use an organized approach to solve narrative and increasingly complex problems.

6. Use strategies to develop formulas for finding area of trapezoids and volume of cylinders and prisms.

 

Geometry and Spatial Standard

 

Patterns, Functions and Algebra Standard

1. Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions.

2. Generalize patterns by describing in words how to find the next term.

3. Recognize and explain when numerical patterns are linear or nonlinear progressions; e.g., 1, 3, 5, 7... is linear and 1, 3, 4, 8, 16... is nonlinear.

4. Create visual representations of equation-solving processes that model the use of inverse operations.

6. Represent inequalities on a number line or a coordinate plane.

7. Justify that two forms of an algebraic expression are equivalent, and recognize when an expression is simplified; e.g., 4m = m + m + m + m or a · 5 + 4 = 5a + 4.

 

Patterns, Functions, and Algebra Standard (Continued)

8. Use formulas in problem-solving situations.

9. Recognize a variety of uses for variables; e.g., placeholder for an unknown quantity in an equation, generalization for a pattern, formula.

relationships.

 

Data Analysis and Probability Standard

5. Compare data from two or more samples to determine how sample selection can influence results.

 

Assessments